# FILE NAME: 00014-00000002.toc
# TITLE: Sushi 100 Rank
# DESCRIPTION: Obtained from the toi by adding the unranked alternatives at the bottom
# DATA TYPE: toc
# MODIFICATION TYPE: imbued
# RELATES TO: 00014-00000002.soi
# RELATED FILES: 
# PUBLICATION DATE: 2014-07-09
# MODIFICATION DATE: 2022-09-16
# NUMBER ALTERNATIVES: 100
# NUMBER VOTERS: 5000
# NUMBER UNIQUE ORDERS: 5000
# ALTERNATIVE NAME 1: anago (sea eel)
# ALTERNATIVE NAME 2: maguro (tuna)
# ALTERNATIVE NAME 3: ika (squid)
# ALTERNATIVE NAME 4: uni (sea urchin)
# ALTERNATIVE NAME 5: tako (octopus)
# ALTERNATIVE NAME 6: ikura (salmon roe)
# ALTERNATIVE NAME 7: tamago (egg)
# ALTERNATIVE NAME 8: toro (fatty tuna)
# ALTERNATIVE NAME 9: ama-ebi (AMA shrimp)
# ALTERNATIVE NAME 10: hotate-gai (scallop)
# ALTERNATIVE NAME 11: tai (sea bream)
# ALTERNATIVE NAME 12: aka-gai (ark shell)
# ALTERNATIVE NAME 13: hamachi (young yellowtail)
# ALTERNATIVE NAME 14: awabi (abalone)
# ALTERNATIVE NAME 15: sake (salmon)
# ALTERNATIVE NAME 16: kazunoko (herring roe)
# ALTERNATIVE NAME 17: shako (squilla)
# ALTERNATIVE NAME 18: saba (mackerel)
# ALTERNATIVE NAME 19: chu-toro (mildly-fatty tuna)
# ALTERNATIVE NAME 20: hirame (flatfish)
# ALTERNATIVE NAME 21: aji (horse mackerel)
# ALTERNATIVE NAME 22: kani (crab)
# ALTERNATIVE NAME 23: kohada (medium-sized KONOSHIRO gizzard shad)
# ALTERNATIVE NAME 24: tori-gai (TORI-clam)
# ALTERNATIVE NAME 25: unagi (eel)
# ALTERNATIVE NAME 26: tekka-maki (tuna roll)
# ALTERNATIVE NAME 27: kanpachi (amberjack)
# ALTERNATIVE NAME 28: miru-gai (MIRU-clam)
# ALTERNATIVE NAME 29: kappa-roll (cucumber-roll)
# ALTERNATIVE NAME 30: geso (squid feet)
# ALTERNATIVE NAME 31: katsuo (oceanic bonito)
# ALTERNATIVE NAME 32: iwashi (sardine)
# ALTERNATIVE NAME 33: hokki-gai (HOKKI-clam)
# ALTERNATIVE NAME 34: shimaaji (hardtail)
# ALTERNATIVE NAME 35: kani-miso (crab liver)
# ALTERNATIVE NAME 36: engawa (flesh from around the base of the dorsal and ventral fins of a flounder or flatfish)
# ALTERNATIVE NAME 37: negi-toro (fatty flesh of tuna minced to a paste and mixed with chopped green leaves of Welsh onions)
# ALTERNATIVE NAME 38: nattou-maki (fermented bean roll)
# ALTERNATIVE NAME 39: sayori (halfbeak)
# ALTERNATIVE NAME 40: takuwan-roll (DAIKON pickles roll)
# ALTERNATIVE NAME 41: botan-ebi (BOTAN shrimp)
# ALTERNATIVE NAME 42: tobiko (flying fish roe)
# ALTERNATIVE NAME 43: inari-zushi (fried tofu wrapper; http
# ALTERNATIVE NAME 44: mentaiko (chili cod roe)
# ALTERNATIVE NAME 45: sarada (salad)
# ALTERNATIVE NAME 46: suzuki (sea bass)
# ALTERNATIVE NAME 47: taraba-gani (king crab)
# ALTERNATIVE NAME 48: ume&shiso roll (pickled plum & perilla leaf roll)
# ALTERNATIVE NAME 49: komochi-konbu (herring roe & sea tangle)
# ALTERNATIVE NAME 50: tarako (cod roe)
# ALTERNATIVE NAME 51: sazae (turban shell)
# ALTERNATIVE NAME 52: aoyagi (meat of a trough shell)
# ALTERNATIVE NAME 53: toro-salmon (fatty tuna & salmon)
# ALTERNATIVE NAME 54: sanma (Pacific saury)
# ALTERNATIVE NAME 55: hamo (pike conger)
# ALTERNATIVE NAME 56: nasu (egg plant)
# ALTERNATIVE NAME 57: shirauo (Japanese icefish)
# ALTERNATIVE NAME 58: nattou (fermented bean)
# ALTERNATIVE NAME 59: ankimo (angler liver)
# ALTERNATIVE NAME 60: kanpyo-maki (pickled gourd-roll)
# ALTERNATIVE NAME 61: negi-toro roll (roll style of no.37)
# ALTERNATIVE NAME 62: gyu-sashi (raw beef)
# ALTERNATIVE NAME 63: hamaguri (clam)
# ALTERNATIVE NAME 64: ba-sashi (raw horse meat)
# ALTERNATIVE NAME 65: fugu (blowfish)
# ALTERNATIVE NAME 66: tsubu-gai (TSUBU-shell)
# ALTERNATIVE NAME 67: ana-kyu-maki (sea eel & cucumber roll)
# ALTERNATIVE NAME 68: hira-gai(=tairagi) (pen shell)
# ALTERNATIVE NAME 69: okura (gumbo)
# ALTERNATIVE NAME 70: ume-roll (pickled plum roll)
# ALTERNATIVE NAME 71: sarada-maki (salad roll)
# ALTERNATIVE NAME 72: mentaiko-maki (chili cod roe roll)
# ALTERNATIVE NAME 73: buri (yellowtail)
# ALTERNATIVE NAME 74: shiso-maki (perilla leaf roll)
# ALTERNATIVE NAME 75: ika-nattou (squid & fermented bean)
# ALTERNATIVE NAME 76: zuke (tuna pickled in soy sauce)
# ALTERNATIVE NAME 77: himo (part of clam)
# ALTERNATIVE NAME 78: kaiware (DAIKON radish sprouts)
# ALTERNATIVE NAME 79: kuruma-ebi (prawn)
# ALTERNATIVE NAME 80: mekabu (part of tangle)
# ALTERNATIVE NAME 81: kue (kind of cabrilla)
# ALTERNATIVE NAME 82: sawara (Japanese Spanish mackerel)
# ALTERNATIVE NAME 83: sasami (kind of raw chicken)
# ALTERNATIVE NAME 84: kujira (whale)
# ALTERNATIVE NAME 85: kamo (wild duck)
# ALTERNATIVE NAME 86: himo (part of clam & cucumber roll)
# ALTERNATIVE NAME 87: tobiuo (flying fish)
# ALTERNATIVE NAME 88: ishigaki-dai (ishigaki sea bream)
# ALTERNATIVE NAME 89: mamakari (Japanese scaled sardine)
# ALTERNATIVE NAME 90: hoya (ascidian)
# ALTERNATIVE NAME 91: battera (OSHIZUSHI style mackerel)
# ALTERNATIVE NAME 92: kyabia (caviar)
# ALTERNATIVE NAME 93: karasumi (dried mullet roe)
# ALTERNATIVE NAME 94: uni-kurage (sea urchin & jellyfish)
# ALTERNATIVE NAME 95: karei (flounder)
# ALTERNATIVE NAME 96: hiramasa (something like amberjack)
# ALTERNATIVE NAME 97: namako (sea cucumber)
# ALTERNATIVE NAME 98: shishamo (smelt)
# ALTERNATIVE NAME 99: kaki (oyster)
# ALTERNATIVE NAME 100: ebi (shrimp)
1: 19,8,15,39,21,1,44,14,25,3,{2,4,5,6,7,9,10,11,12,13,16,17,18,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,11,15,63,33,100,32,37,23,4,{1,2,3,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,30,31,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,54,1,34,21,24,28,11,5,41,{2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,23,25,26,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,31,3,79,22,11,55,14,40,{1,4,5,7,8,9,10,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,14,8,22,41,33,21,55,13,{3,4,5,6,7,9,10,11,12,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,35,10,5,23,68,38,18,40,{1,3,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,17,100,2,5,36,10,6,11,94,{1,3,4,7,8,9,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 20,25,27,4,100,23,43,33,12,7,{1,2,3,5,6,8,9,10,11,13,14,15,16,17,18,19,21,22,24,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 51,33,23,5,46,85,9,29,16,4,{1,2,3,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,22,3,27,18,34,10,54,36,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,23,24,25,26,28,29,30,31,32,33,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,5,43,88,66,51,78,65,49,58,{1,2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,52,53,54,55,56,57,59,60,61,62,63,64,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,76,31,23,5,38,80,14,12,{1,2,3,4,6,7,9,10,11,13,15,16,17,18,19,20,21,22,24,25,26,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,11,6,21,100,34,18,7,24,23,{1,2,3,4,5,8,9,10,12,13,14,15,16,17,19,20,22,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 79,13,41,30,40,44,6,51,24,16,{1,2,3,4,5,7,8,9,10,11,12,14,15,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,26,23,4,9,66,3,29,33,{1,2,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,9,50,63,12,24,20,49,17,{1,2,3,4,5,6,7,10,11,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,36,9,100,74,19,13,14,40,89,{1,2,3,5,6,7,8,10,11,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 45,22,16,60,31,13,36,75,21,11,{1,2,3,4,5,6,7,8,9,10,12,14,15,17,18,19,20,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,7,5,14,43,24,44,32,20,{1,2,3,4,8,9,10,11,12,13,16,17,18,19,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,12,64,14,74,18,27,42,17,{1,2,3,4,5,6,7,8,9,11,13,15,16,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,20,22,7,12,9,2,5,29,55,{1,3,4,8,10,11,13,14,15,16,17,18,19,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,4,25,100,23,21,14,37,5,{2,3,6,7,9,10,11,12,13,15,16,17,18,19,20,22,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,27,58,2,25,1,35,4,6,{3,5,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,25,1,40,48,39,93,46,20,4,{3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 13,61,8,31,17,45,7,1,48,18,{2,3,4,5,6,9,10,11,12,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,65,27,19,2,21,44,13,7,45,{1,3,4,5,6,8,9,10,11,12,15,16,17,18,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,9,21,50,18,41,34,33,24,4,{1,2,3,5,6,8,10,11,12,13,14,15,16,17,19,20,22,23,25,26,27,28,29,30,31,32,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,6,31,11,10,34,22,7,93,{1,3,4,5,8,9,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 91,1,24,87,39,64,4,100,26,19,{2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,92,93,94,95,96,97,98,99}
1: 33,3,20,5,4,17,16,7,46,92,{1,2,6,8,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 6,20,21,37,54,23,1,9,55,10,{2,3,4,5,7,8,11,12,13,14,15,16,17,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,10,6,2,15,28,17,49,7,{1,3,4,5,8,9,11,12,13,14,16,18,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,15,6,5,7,25,3,1,12,28,{2,4,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,3,100,25,83,7,62,35,8,69,{1,2,4,5,6,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,20,25,12,37,65,38,86,3,42,{2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,15,1,23,6,21,33,32,18,35,{2,3,4,5,7,8,9,10,11,12,14,16,17,19,20,22,24,25,26,27,28,29,30,31,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,1,4,43,14,10,33,6,35,32,{2,3,5,7,8,9,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,14,10,15,65,20,62,26,42,16,{1,2,3,4,5,6,7,8,9,11,12,13,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,21,79,34,85,7,38,45,97,69,{1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 2,15,22,10,21,95,13,73,18,55,{1,3,4,5,6,7,8,9,11,12,14,16,17,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,19,4,3,47,100,5,9,85,16,{1,2,6,7,8,10,11,12,13,14,15,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,35,44,1,27,34,12,68,38,{2,3,4,5,6,7,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,25,47,41,20,29,10,81,28,{2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,21,22,23,24,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,19,4,2,18,3,14,52,12,{1,5,7,8,9,11,13,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,13,25,2,3,21,5,34,4,{1,6,7,8,9,10,11,12,15,16,17,18,20,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,46,13,9,24,6,17,16,18,43,{1,2,3,4,5,7,8,11,12,14,15,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,27,20,10,28,17,38,29,24,40,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,18,19,21,22,23,25,26,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,36,31,55,42,3,9,41,35,{1,2,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,100,5,30,31,20,39,23,61,4,{1,2,3,6,7,8,9,10,11,12,14,15,16,17,18,19,21,22,24,25,26,27,28,29,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,17,37,19,34,76,2,5,22,42,{1,3,6,7,8,9,10,11,12,13,14,15,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,36,10,1,56,46,42,100,22,5,{2,3,4,6,7,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,25,5,44,12,57,33,65,52,19,{1,2,3,4,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,7,2,26,12,39,50,10,24,42,{1,3,4,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,22,35,11,45,27,33,36,24,5,{1,2,3,4,6,7,8,10,12,13,14,15,16,17,18,19,20,21,23,25,26,28,29,30,31,32,34,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,3,41,38,100,68,27,28,4,16,{1,2,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,13,41,11,3,8,55,14,42,{2,4,5,6,7,9,10,12,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,18,3,59,31,57,72,10,75,6,{1,2,4,5,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,27,12,61,22,48,38,33,16,6,{1,2,3,4,5,7,8,9,10,11,13,15,17,18,19,20,21,23,24,25,26,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,38,9,22,72,50,16,5,30,36,{1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,20,21,23,24,25,26,27,28,29,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,57,20,100,24,28,11,3,31,39,{1,2,4,5,6,8,9,10,12,13,14,15,16,17,18,19,21,22,23,25,26,27,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,22,17,31,12,5,1,55,45,{2,3,4,6,7,8,9,11,13,14,15,16,18,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,41,20,2,96,25,55,24,12,7,{1,3,5,6,8,9,10,11,13,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 36,37,16,50,46,55,5,75,24,56,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 50,9,33,1,21,32,18,15,8,4,{2,3,5,6,7,10,11,12,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,41,10,22,13,27,29,17,56,{1,2,3,4,5,6,7,9,11,12,15,16,18,19,20,21,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,26,9,13,67,10,17,6,35,59,{1,2,3,4,5,7,8,11,12,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,2,7,8,43,16,21,20,5,89,{1,3,4,6,9,10,11,12,13,14,15,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 4,100,50,25,6,12,33,27,14,51,{1,2,3,5,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,71,79,41,67,63,20,26,5,1,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,4,19,18,11,42,2,23,60,49,{1,3,5,6,7,8,9,10,12,13,14,15,16,17,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,75,14,23,47,2,1,40,29,{3,5,6,7,8,9,10,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,4,61,38,75,40,30,7,13,31,{1,2,3,5,6,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,72,49,28,90,33,6,18,4,{1,2,3,5,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 12,28,13,4,5,3,22,74,78,7,{1,2,6,8,9,10,11,14,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,9,20,26,8,4,6,10,79,91,{1,2,5,7,11,12,13,14,15,16,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 21,7,76,54,99,20,25,69,70,38,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 19,2,44,39,16,12,10,3,25,48,{1,4,5,6,7,8,9,11,13,14,15,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,19,85,12,33,4,3,10,2,48,{1,5,6,7,8,9,11,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,92,20,22,76,100,16,62,97,{1,2,3,4,5,6,7,8,9,10,11,12,14,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,98,99}
1: 20,22,5,10,23,15,27,67,42,46,{1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,19,21,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,18,25,15,8,65,24,26,29,30,{1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,19,20,22,23,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,61,100,27,9,18,78,93,4,48,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 5,17,13,18,38,58,33,21,28,10,{1,2,3,4,6,7,8,9,11,12,14,15,16,19,20,22,23,24,25,26,27,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,76,6,5,29,23,35,32,21,{1,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,58,6,11,23,79,31,34,12,71,{1,2,3,4,5,7,8,9,10,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,100,14,25,2,8,60,17,23,32,{1,3,4,5,6,7,9,10,11,12,13,15,16,18,19,21,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,2,1,100,9,49,38,6,18,32,{3,4,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,18,100,10,47,17,88,92,44,{1,2,3,4,5,6,7,9,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,93,94,95,96,97,98,99}
1: 9,22,33,14,55,50,28,35,32,29,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,30,31,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,8,100,26,2,9,27,36,35,62,{1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,13,6,26,7,39,10,57,25,24,{1,3,4,5,8,9,11,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,3,25,13,32,24,17,62,77,7,{1,2,4,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,9,91,3,11,21,32,16,13,{4,5,6,7,8,10,12,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 100,4,19,56,1,5,12,23,14,55,{2,3,6,7,8,9,10,11,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,13,11,71,37,75,64,100,16,5,{1,2,3,6,7,8,9,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,63,5,9,54,36,42,56,45,89,{1,2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,3,11,32,1,41,35,24,33,{2,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 30,6,61,5,39,21,23,27,13,54,{1,2,3,4,7,8,9,10,11,12,14,15,16,17,18,19,20,22,24,25,26,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,25,13,27,31,5,36,30,7,12,{1,2,4,6,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,26,28,29,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,16,26,35,7,30,76,25,42,{1,2,3,4,5,6,9,10,11,12,13,14,15,17,18,20,21,22,23,24,27,28,29,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,15,23,13,40,12,24,28,43,{1,2,3,4,5,6,7,9,10,11,14,16,17,18,19,20,21,22,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,37,20,9,100,21,38,26,60,62,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,22,23,24,25,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,10,37,58,5,18,54,6,86,41,{1,2,3,4,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,14,22,24,52,23,17,77,30,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,18,20,21,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,61,9,100,26,3,31,65,60,29,{1,2,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,41,8,26,30,27,4,23,98,39,{1,2,3,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,28,29,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 8,15,41,100,35,16,12,24,63,40,{1,2,3,4,5,6,7,9,10,11,13,14,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,11,22,7,100,3,34,68,33,30,{1,2,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 58,21,15,41,6,11,4,27,17,84,{1,2,3,5,7,8,9,10,12,13,14,16,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,30,27,3,16,14,5,12,13,25,{1,2,4,6,7,8,9,10,11,17,18,19,20,21,22,23,24,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,6,15,8,18,38,2,4,25,66,{1,5,7,9,10,11,12,13,14,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,29,5,39,20,28,44,8,37,75,{1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,38,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,6,18,5,3,13,1,29,30,14,{2,4,7,8,9,10,11,12,15,16,17,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,1,15,47,100,12,30,50,7,16,{2,3,4,5,6,8,9,10,11,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,1,41,100,79,21,26,32,30,38,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,31,33,34,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,25,58,9,17,35,76,51,45,78,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,38,100,1,34,10,23,32,4,16,{2,3,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,26,25,11,20,4,14,42,24,28,{1,2,5,6,7,8,9,10,12,13,15,16,17,18,19,21,22,23,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,4,5,25,12,24,45,39,32,82,{1,2,3,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,19,1,10,33,2,64,4,6,14,{3,5,7,8,9,11,12,13,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,5,34,21,68,52,7,79,14,56,{1,2,3,4,6,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,9,54,1,39,46,14,63,51,4,{2,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,41,3,100,1,14,43,6,12,33,{2,4,5,7,8,9,10,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,3,31,20,32,27,18,17,76,62,{1,2,4,5,6,7,8,9,11,12,13,14,15,16,19,21,22,23,24,25,26,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,28,11,15,48,4,100,18,6,35,{1,2,3,5,7,8,10,12,13,14,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,9,3,37,18,23,58,28,35,{1,2,4,5,6,7,10,11,12,13,14,16,17,19,20,21,22,24,25,26,27,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,45,21,33,10,68,35,13,3,14,{1,2,4,5,6,7,8,9,11,12,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,53,7,14,20,12,1,100,23,{2,3,4,5,9,10,11,13,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,13,14,37,53,30,15,36,24,23,{1,2,3,4,5,6,7,8,9,10,11,16,17,18,19,20,21,22,25,26,27,28,29,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,31,1,47,24,5,55,38,45,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,25,22,3,7,10,18,39,33,6,{1,4,5,8,9,11,12,13,14,15,16,17,19,20,21,23,24,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,13,11,57,5,35,4,63,78,33,{1,2,3,6,7,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,25,18,23,31,22,100,13,10,19,{1,2,3,4,5,7,8,9,11,12,14,15,16,17,20,21,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,10,100,5,15,20,12,1,34,{2,3,4,7,9,11,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,14,5,100,11,51,21,39,30,{2,3,4,6,7,9,10,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,32,5,43,25,67,18,64,49,{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,16,6,29,50,58,15,9,41,64,{1,2,3,4,5,7,8,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 50,72,40,45,25,1,100,66,9,4,{2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,20,32,23,5,22,27,61,51,13,{1,2,3,4,6,7,8,10,11,12,14,15,16,17,18,19,21,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,26,19,11,35,23,74,17,91,12,{1,2,3,4,5,6,7,9,10,13,14,15,16,18,20,21,22,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,15,4,27,6,14,17,5,7,16,{1,3,8,9,10,11,12,13,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,9,100,16,6,18,12,36,51,{1,2,3,4,5,7,10,11,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,11,29,43,16,24,42,53,18,{1,4,5,6,7,8,9,10,12,13,14,15,17,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,19,70,3,2,22,21,28,17,{1,4,5,7,8,10,11,12,13,14,15,16,18,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,25,37,11,3,5,4,30,52,{1,2,6,7,8,10,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,45,12,64,50,1,20,3,7,17,{2,4,5,6,8,9,10,11,13,14,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,14,22,44,10,7,18,31,17,4,{1,2,3,5,6,8,9,12,13,15,16,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,40,16,10,42,3,20,23,11,{1,2,4,5,6,8,12,13,14,15,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,20,100,36,32,26,22,14,25,91,{1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,21,23,24,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 5,71,1,29,49,16,4,36,39,13,{2,3,6,7,8,9,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,18,37,3,22,33,28,14,42,44,{1,2,4,5,6,7,8,9,10,11,12,13,16,17,19,20,21,23,24,25,26,27,29,30,31,32,34,35,36,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,4,14,13,43,60,31,23,29,52,{1,2,3,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,25,11,31,26,4,14,23,21,56,{1,2,3,5,6,7,8,10,12,13,15,16,17,18,19,20,22,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,11,4,9,2,6,3,50,10,51,{1,5,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,37,48,67,100,51,7,1,4,{2,3,5,6,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,37,6,18,4,25,12,38,43,16,{1,2,3,5,7,8,9,10,11,13,14,15,17,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,31,83,11,36,99,5,6,30,38,{1,2,3,4,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 24,14,4,21,3,44,46,48,38,41,{1,2,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,19,10,46,7,43,24,2,100,17,{1,3,4,5,6,8,9,11,12,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,20,27,9,26,1,6,61,59,35,{2,3,4,5,7,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,10,3,28,8,4,56,66,72,{1,2,5,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,1,35,8,19,22,5,50,24,74,{2,3,4,6,7,9,11,12,13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,10,5,6,70,16,23,27,20,32,{1,2,3,4,7,8,9,11,12,13,14,15,17,18,19,21,22,24,25,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,3,26,79,10,20,24,14,4,{2,5,6,7,9,11,12,13,15,16,17,18,19,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,100,2,30,34,10,48,37,38,{3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,62,1,29,51,15,28,6,36,41,{2,3,4,5,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,37,38,39,40,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,14,21,17,65,82,68,24,42,4,{1,3,5,6,7,8,9,10,11,12,13,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,31,16,62,12,17,8,33,48,4,{1,2,3,5,6,7,9,10,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,9,58,14,7,15,5,4,17,{1,3,8,10,11,12,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,43,23,60,14,20,90,1,28,24,{2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,21,22,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 14,100,53,5,3,15,34,26,7,75,{1,2,4,6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,21,71,25,16,1,3,31,12,11,{2,4,5,6,7,8,9,10,13,14,15,17,18,19,20,22,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,39,59,42,14,49,2,27,12,58,{1,3,5,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,13,21,30,25,11,23,10,12,{3,4,5,6,7,8,9,14,15,16,17,18,19,20,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,20,36,16,73,94,1,85,28,18,{2,3,4,5,7,8,9,10,11,12,13,14,15,17,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 20,57,15,10,27,16,23,34,70,30,{1,2,3,4,5,6,7,8,9,11,12,13,14,17,18,19,21,22,24,25,26,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,53,100,14,24,22,63,52,60,17,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,2,14,54,35,58,36,33,6,16,{1,3,4,5,7,8,9,10,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,34,39,52,5,36,18,26,100,50,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,37,38,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,1,4,15,9,100,17,3,28,24,{2,5,6,7,8,10,11,12,13,14,16,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,34,1,7,100,25,12,72,51,17,{3,4,5,6,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,47,22,77,23,6,39,16,18,2,{1,3,4,5,7,8,9,10,11,12,13,14,15,17,19,20,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,88,39,1,5,18,29,66,72,7,{2,3,4,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,5,3,22,14,12,30,33,55,64,{1,2,4,6,7,8,9,10,11,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,25,100,14,4,12,33,13,86,{1,2,5,6,7,9,10,11,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,22,3,29,34,30,63,28,64,33,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,3,12,10,23,2,55,97,58,6,{1,4,5,7,8,9,11,13,14,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 27,7,96,20,57,51,31,71,22,5,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 4,8,13,31,11,25,7,49,47,71,{1,2,3,5,6,9,10,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,3,21,17,11,20,68,15,4,44,{1,2,5,6,7,8,9,10,12,14,16,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,11,5,8,23,41,9,1,42,{2,3,6,7,10,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,9,5,23,32,35,4,71,60,{1,3,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,34,5,11,17,99,7,27,71,{1,2,3,4,6,9,10,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 19,13,11,18,22,27,66,23,28,48,{1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,20,21,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,22,4,28,24,11,9,16,25,7,{1,2,3,5,6,8,10,12,13,14,15,17,18,19,20,21,23,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,22,18,13,43,91,5,84,24,33,{2,3,4,6,7,8,9,10,11,12,14,15,16,17,19,20,21,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 19,36,11,13,6,22,64,10,1,17,{2,3,4,5,7,8,9,12,14,15,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,29,34,20,82,90,5,16,6,100,{2,3,4,7,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 23,11,14,19,53,3,100,28,38,60,{1,2,4,5,6,7,8,9,10,12,13,15,16,17,18,20,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,25,14,32,73,5,23,30,24,16,{1,3,4,6,7,8,9,10,11,12,13,15,17,18,19,20,21,22,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,41,20,100,62,50,26,53,17,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,13,6,11,58,39,33,24,12,{1,3,4,5,7,8,9,10,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,31,5,2,8,60,40,63,34,48,{1,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,88,15,27,26,43,5,47,31,21,{1,2,3,4,6,7,8,9,10,12,13,14,16,17,18,19,20,22,23,24,25,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,47,100,20,38,44,18,23,55,17,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,10,1,3,47,22,27,39,38,59,{4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,3,79,38,58,33,16,97,2,{1,5,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,8,13,9,12,2,26,65,67,60,{1,3,5,6,7,10,11,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,34,12,45,21,25,44,60,29,42,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,35,36,38,39,40,41,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 73,37,31,43,9,5,6,23,50,28,{1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,29,30,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,9,100,6,44,20,12,26,38,30,{1,2,3,4,5,7,8,10,11,13,14,15,16,17,18,19,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,9,16,27,24,65,6,11,36,97,{1,2,3,4,5,7,8,10,12,13,14,15,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 5,1,10,27,6,45,24,7,93,42,{2,3,4,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 11,2,20,61,44,16,40,17,93,12,{1,3,4,5,6,7,8,9,10,13,14,15,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 19,6,16,51,14,3,20,18,100,41,{1,2,4,5,7,8,9,10,11,12,13,15,17,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,17,46,27,1,48,47,6,83,18,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,3,28,31,29,15,77,2,13,83,{1,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,26,27,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,5,31,15,41,7,25,28,59,{1,2,4,6,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,26,27,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,16,8,69,20,100,10,13,6,51,{1,2,3,4,5,7,9,11,12,14,15,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,7,5,30,26,54,18,84,6,38,{1,2,3,4,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,19,8,41,24,63,28,12,59,7,{1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,20,21,22,23,25,26,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,3,11,51,26,1,4,6,23,43,{2,5,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,31,10,73,74,17,52,28,7,{1,2,3,4,5,6,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,9,29,37,23,13,22,35,58,40,{1,2,3,4,5,6,7,8,10,11,12,15,16,17,18,19,20,21,24,25,26,27,28,30,31,32,33,34,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,2,3,13,17,74,42,49,25,38,{1,4,5,6,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,24,32,9,100,25,74,59,64,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,5,26,4,92,20,23,12,1,{2,3,6,7,10,11,13,14,15,16,17,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 61,21,20,100,1,7,43,22,42,75,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,47,24,2,31,10,32,20,58,62,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,26,9,46,22,35,49,33,23,{2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,24,25,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,10,12,8,6,37,20,5,74,38,{1,2,3,4,7,9,11,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,28,4,39,32,7,42,40,13,{2,3,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,16,26,8,13,2,15,5,3,64,{1,4,6,7,9,10,11,12,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,13,31,18,5,48,43,38,50,100,{2,3,4,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,13,11,7,29,60,100,28,12,3,{1,2,4,5,6,8,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,2,47,43,6,13,82,42,33,51,{1,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,37,41,8,75,5,6,17,92,25,{1,2,3,7,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 6,47,11,50,7,28,24,100,25,1,{2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,79,6,14,63,24,89,73,13,4,{1,2,3,5,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 41,9,79,63,36,78,2,25,23,24,{1,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,4,6,23,18,51,9,54,75,{1,5,7,8,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,36,33,19,27,24,43,26,48,100,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,28,29,30,31,32,34,35,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,27,100,35,51,42,50,39,24,56,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,25,26,28,29,30,31,32,33,34,36,37,38,40,41,43,44,45,46,47,48,49,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,15,100,13,12,25,36,3,77,4,{1,2,5,7,8,9,10,11,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,28,41,4,14,30,16,38,89,{1,2,3,5,6,7,9,10,11,12,13,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,15,22,100,12,39,17,40,49,{1,2,3,4,5,6,7,8,9,10,11,13,14,16,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,18,28,62,14,7,3,49,6,35,{1,2,4,5,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,62,21,6,5,22,41,10,12,33,{1,2,3,4,7,9,11,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,7,4,80,9,19,39,17,22,26,{1,2,3,5,6,8,10,11,12,13,14,16,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,79,15,10,32,21,48,7,74,{1,2,3,4,5,6,9,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,32,26,6,21,50,1,88,8,35,{2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,26,7,36,10,25,42,8,13,40,{1,2,3,4,5,6,9,11,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,37,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,60,80,15,12,51,50,24,21,23,{1,2,3,4,5,6,7,8,9,10,11,13,14,16,17,18,19,20,22,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,19,13,25,37,40,100,68,57,23,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,21,22,24,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,3,15,10,6,48,29,24,7,12,{1,2,4,5,8,9,11,14,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,10,57,19,25,1,71,63,17,15,{2,4,5,6,7,8,9,11,12,13,14,16,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,13,31,65,6,10,18,32,23,47,{1,2,3,4,5,7,8,9,11,12,15,16,17,19,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,1,5,9,20,4,22,10,12,33,{2,3,6,7,8,11,13,14,15,16,17,18,19,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,53,5,16,85,6,78,12,35,42,{1,2,3,4,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,9,10,44,18,3,89,7,75,38,{1,2,4,5,6,8,11,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,16,23,7,70,46,67,25,1,{3,4,5,6,8,9,10,11,12,14,15,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,66,11,57,4,100,6,16,40,78,{1,2,3,5,7,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,9,29,75,28,19,8,2,100,41,{1,3,4,5,6,7,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,55,8,3,30,1,7,37,10,49,{2,4,5,6,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,7,17,33,2,21,5,74,44,45,{1,3,4,6,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,20,21,32,11,8,31,1,34,56,{2,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,34,51,10,6,29,63,5,23,59,{1,2,3,4,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,4,6,57,27,9,100,74,12,{1,2,3,5,7,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,37,19,20,7,41,3,35,90,74,{1,2,4,5,6,8,9,10,11,12,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 13,20,28,11,3,21,31,56,17,97,{1,2,4,5,6,7,8,9,10,12,14,15,16,18,19,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,20,5,13,61,16,39,32,17,38,{1,2,3,4,6,7,8,9,10,11,12,14,15,18,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,43,41,79,63,61,26,25,67,4,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,26,62,34,23,53,9,7,6,17,{1,2,3,4,5,8,10,12,13,14,15,16,18,19,20,21,22,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,7,13,81,47,100,14,2,30,35,{1,3,4,5,6,8,9,10,11,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,13,7,18,66,24,29,89,83,23,{2,3,4,5,6,8,9,10,11,12,14,15,16,17,19,20,21,22,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 71,37,13,79,22,29,30,42,24,16,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,17,18,19,20,21,23,25,26,27,28,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,42,2,61,95,100,12,30,28,17,{1,3,4,5,6,7,8,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 100,3,7,12,5,25,20,17,46,97,{1,2,4,6,8,9,10,11,13,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 1,3,6,37,12,82,81,35,15,13,{2,4,5,7,8,9,10,11,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,17,3,45,10,16,20,93,27,7,{1,2,4,5,6,8,9,11,12,13,14,15,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 82,11,10,21,13,62,25,23,7,18,{1,2,3,4,5,6,8,9,12,14,15,16,17,19,20,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,4,47,27,38,17,25,28,10,48,{1,2,3,5,6,7,8,9,11,12,13,14,15,16,18,19,20,21,22,23,24,26,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,21,41,77,44,25,18,32,29,6,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,26,28,30,31,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,9,22,95,14,42,1,5,23,48,{2,3,4,6,7,8,10,11,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 38,10,13,20,11,8,14,39,23,3,{1,2,4,5,6,7,9,12,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,14,11,9,18,6,36,31,27,76,{1,2,3,4,5,7,8,10,12,13,15,16,17,19,20,21,22,23,25,26,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,30,24,66,18,34,15,8,19,4,{1,2,3,5,6,7,10,11,12,13,14,16,17,20,21,22,23,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,15,22,100,11,23,30,1,12,{2,3,5,6,7,9,10,13,14,16,17,18,19,20,21,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,100,20,48,59,37,2,3,69,16,{1,5,6,7,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,14,13,10,25,3,48,28,33,35,{2,4,5,6,7,8,9,11,12,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,100,17,11,5,13,24,46,52,{2,3,4,6,7,9,10,12,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,21,26,11,20,19,8,14,12,24,{1,2,3,4,6,7,9,10,13,15,16,17,18,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,15,27,43,7,39,17,9,100,{1,2,3,4,5,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,9,5,26,50,72,67,17,14,12,{1,2,3,4,6,7,8,10,11,13,15,16,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,34,53,28,16,5,52,58,74,{1,3,4,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,5,15,31,13,10,14,63,18,{2,3,4,6,7,8,11,12,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,36,1,16,15,39,5,51,50,{2,3,4,6,7,9,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,19,53,41,20,10,7,16,50,{1,3,4,5,6,9,11,12,13,14,15,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,15,8,2,12,18,32,23,100,{1,3,4,5,6,7,9,10,11,13,16,17,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,12,5,3,30,17,39,18,15,29,{1,2,4,7,8,9,10,11,13,14,16,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,25,17,55,7,69,44,29,12,{1,3,4,5,6,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,47,21,6,3,16,34,50,45,33,{1,2,4,5,7,8,9,10,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,26,76,61,38,20,39,33,97,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 36,27,1,10,2,32,12,24,60,51,{3,4,5,6,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,22,4,27,63,33,51,8,40,29,{2,3,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,21,20,11,9,12,50,13,27,97,{1,2,3,4,5,6,8,10,14,15,16,17,18,19,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 16,100,9,11,30,27,33,21,24,4,{1,2,3,5,6,7,8,10,12,13,14,15,17,18,19,20,22,23,25,26,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,76,13,10,18,20,22,16,7,{1,3,4,5,6,9,11,12,14,15,17,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,9,21,33,35,99,13,60,78,{2,3,4,5,6,7,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 56,10,49,3,18,4,8,57,15,50,{1,2,5,6,7,9,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,18,15,25,8,7,51,93,10,63,{1,2,3,5,6,9,11,12,13,14,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 1,11,31,15,8,5,43,63,40,66,{2,3,4,6,7,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,5,49,26,52,100,21,24,13,9,{2,3,4,6,7,8,10,11,12,14,15,16,17,18,19,20,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,27,18,15,11,32,10,1,71,{2,3,4,5,6,7,9,12,13,14,16,17,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,100,7,22,58,10,6,2,20,33,{1,3,4,5,8,9,11,12,13,14,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,79,10,25,2,34,53,5,60,29,{1,3,4,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,100,30,8,21,14,16,24,59,12,{1,2,3,4,5,6,9,10,11,13,15,17,18,19,20,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,5,25,3,15,10,6,14,24,59,{2,4,7,8,9,11,12,13,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,4,47,79,17,2,37,8,3,18,{1,5,6,7,9,10,11,12,13,14,15,16,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,21,23,10,44,5,28,33,16,42,{1,2,3,4,6,7,8,9,11,12,13,14,15,17,18,19,22,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,14,6,26,20,5,22,45,63,1,{2,3,4,7,8,9,10,11,12,13,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,37,36,21,51,12,5,24,16,29,{1,2,3,4,6,7,8,9,10,11,13,14,15,17,18,19,20,22,23,25,26,28,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,7,100,12,38,20,4,59,64,{1,2,3,5,6,9,10,11,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,13,37,38,1,89,4,28,6,17,{2,3,5,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 26,9,38,30,11,7,21,99,48,49,{1,2,3,4,5,6,8,10,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 10,37,19,77,16,28,56,31,20,18,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,17,21,22,23,24,25,26,27,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,46,12,5,15,24,38,31,8,25,{1,2,3,4,6,7,9,10,11,13,14,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,20,6,26,23,48,14,59,42,17,{1,3,4,5,7,8,9,10,11,12,13,15,16,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,13,21,1,7,23,6,4,33,{3,5,8,10,11,12,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,87,4,28,33,16,32,10,1,12,{2,3,5,6,7,9,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,21,14,13,36,25,88,92,12,{2,3,4,5,6,7,8,9,10,11,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,93,94,95,96,97,98,99}
1: 35,21,34,30,12,15,2,22,11,69,{1,3,4,5,6,7,8,9,10,13,14,16,17,18,19,20,23,24,25,26,27,28,29,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,11,48,22,7,9,17,24,33,{2,3,4,5,6,8,10,12,13,14,15,16,18,20,21,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,37,19,100,16,42,14,89,4,{1,2,3,5,6,7,9,11,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 15,9,7,42,2,13,16,20,17,32,{1,3,4,5,6,8,10,11,12,14,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,9,73,50,5,30,59,18,36,{2,3,4,6,7,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,31,11,26,91,23,100,17,29,{1,2,3,4,5,6,7,8,9,10,12,13,14,16,18,20,21,22,24,25,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 15,37,36,88,100,61,5,26,12,38,{1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 3,11,20,2,50,47,46,90,15,53,{1,4,5,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 9,2,19,50,45,10,22,8,15,69,{1,3,4,5,6,7,11,12,13,14,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 64,14,30,10,71,50,22,4,42,35,{1,2,3,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,9,13,15,4,22,2,7,16,{3,5,6,8,10,11,12,14,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,60,40,48,29,20,12,28,85,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,1,38,9,10,45,28,39,16,4,{2,3,5,6,7,8,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,2,5,16,3,95,28,18,86,{1,4,7,8,9,10,11,12,13,14,15,17,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 3,15,100,41,22,43,26,4,78,46,{1,2,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 65,5,10,30,3,16,34,46,51,35,{1,2,4,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,2,19,30,20,40,6,17,34,{1,3,4,5,7,8,10,11,12,13,14,15,16,18,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,100,15,55,20,6,48,28,58,56,{1,3,4,5,7,8,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,12,1,79,10,5,30,100,18,57,{2,3,4,6,7,8,9,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,11,88,14,50,3,24,75,61,53,{1,2,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,13,27,5,16,12,24,58,64,{1,3,4,6,7,8,9,10,11,14,15,17,18,19,20,21,22,23,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,5,85,83,24,39,54,16,4,{1,3,6,7,8,9,10,11,12,13,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,7,3,50,24,10,33,27,21,{1,2,5,6,9,11,12,13,14,15,16,17,18,19,20,22,23,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,20,27,18,11,26,43,51,33,6,{1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,19,21,22,23,24,25,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,2,10,92,42,5,14,24,7,{1,3,8,9,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 47,100,1,25,65,39,83,45,80,40,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,14,36,50,2,27,19,34,18,37,{1,3,4,5,6,7,9,10,11,12,13,15,16,17,20,21,22,23,24,25,26,28,29,30,31,32,33,35,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,14,21,5,3,29,15,39,95,60,{1,2,4,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 27,12,13,53,44,39,2,8,29,49,{1,3,4,5,6,7,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,7,10,27,61,24,98,34,4,{1,3,5,6,8,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 78,18,47,5,62,14,15,51,10,80,{1,2,3,4,6,7,8,9,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,45,3,47,24,23,36,44,17,{1,2,4,5,6,7,10,11,12,13,14,15,16,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,53,15,94,17,51,39,24,18,30,{1,2,3,4,5,6,7,9,10,11,12,13,14,16,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 22,56,9,18,21,1,14,33,77,16,{2,3,4,5,6,7,8,10,11,12,13,15,17,19,20,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,53,2,39,52,3,10,11,59,40,{1,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,12,26,57,47,28,10,29,45,18,{1,2,3,4,5,6,7,8,9,11,13,14,15,16,17,19,20,21,22,23,24,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,15,2,4,11,88,5,1,28,67,{3,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,30,40,5,39,100,37,27,52,6,{1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,31,32,33,34,35,36,38,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,3,14,5,26,39,29,64,36,49,{1,2,4,6,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,27,28,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,19,26,5,14,28,24,17,3,94,{1,2,4,7,8,9,10,11,12,13,15,16,18,20,21,22,23,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,2,15,32,59,10,13,49,14,48,{1,3,4,5,6,7,9,11,12,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,34,32,4,14,17,37,12,78,49,{1,3,5,6,7,8,9,10,11,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,9,25,26,2,69,40,1,51,{3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,31,21,30,5,69,17,3,93,{1,4,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 54,9,91,19,2,17,51,30,23,7,{1,3,4,5,6,8,10,11,12,13,14,15,16,18,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,100,10,23,6,18,3,27,16,19,{1,2,5,7,8,9,11,12,13,14,15,17,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,7,3,47,21,13,73,16,24,59,{1,2,4,5,6,8,9,10,11,12,14,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,15,19,4,25,100,61,14,22,5,{1,2,3,6,7,8,9,10,11,12,13,16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,68,27,37,50,31,2,74,60,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,36,5,15,6,52,22,75,16,48,{1,2,3,4,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,47,67,95,24,12,28,26,49,18,{1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,19,20,21,22,23,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 4,41,5,100,25,15,21,17,27,13,{1,2,3,6,7,8,9,10,11,12,14,16,18,19,20,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,59,2,7,16,27,20,49,18,24,{1,3,4,5,8,9,10,11,12,13,14,15,17,19,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,1,38,3,31,88,16,54,32,77,{2,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,25,31,21,28,10,23,59,48,72,{1,2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,100,21,16,35,62,52,29,5,{1,2,3,4,7,8,9,10,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,3,5,43,56,78,82,49,18,{1,2,4,6,7,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,6,9,13,23,48,29,3,77,17,{1,2,4,5,7,8,10,11,12,14,15,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,11,21,18,50,22,48,9,24,17,{1,2,3,4,5,6,7,8,10,12,13,14,15,16,19,20,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,45,18,25,16,14,20,10,21,8,{1,2,3,4,5,7,9,11,12,13,15,17,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 42,100,27,45,67,14,8,41,1,89,{2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 9,7,43,16,4,2,27,10,30,24,{1,3,5,6,8,11,12,13,14,15,17,18,19,20,21,22,23,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,37,58,5,30,8,34,24,1,23,{2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,36,6,2,18,46,5,12,87,4,{1,3,7,8,9,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,27,35,3,30,75,28,12,43,25,{1,2,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,26,29,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,5,34,30,14,22,13,28,76,72,{1,2,3,6,7,8,9,10,11,12,15,16,17,18,19,20,21,23,24,25,26,27,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,22,40,8,12,77,17,33,32,{1,2,3,4,5,7,9,10,11,13,14,15,16,18,20,21,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,38,12,2,41,3,100,71,60,{1,4,5,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,23,38,37,15,11,25,4,42,{1,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,25,14,40,47,44,17,28,15,91,{1,2,3,4,5,6,7,8,9,11,12,13,16,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,5,40,30,14,27,13,6,8,4,{1,3,7,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,38,24,32,39,1,40,36,68,35,{2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,37,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,10,8,77,98,32,26,33,21,17,{1,2,3,4,5,6,7,9,11,13,14,15,16,18,19,20,22,23,24,25,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 41,22,12,2,62,20,24,13,3,29,{1,4,5,6,7,8,9,10,11,14,15,16,17,18,19,21,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,21,32,3,29,10,28,1,17,{4,5,6,7,8,9,11,12,13,14,16,18,19,20,22,23,24,25,26,27,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,16,8,14,5,3,4,17,32,23,{1,2,6,7,9,10,11,12,13,15,18,19,20,21,22,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,21,19,54,46,39,11,7,30,42,{1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,3,31,10,5,18,7,43,17,{1,2,8,9,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,47,13,22,54,3,100,32,36,{1,2,4,5,6,7,9,10,11,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,10,5,25,31,1,21,44,91,{2,3,4,7,9,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 10,42,50,3,26,7,31,8,37,14,{1,2,4,5,6,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,51,19,39,21,7,23,28,18,49,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,20,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 57,15,2,19,17,45,59,89,64,38,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 18,3,34,12,4,64,15,6,7,56,{1,2,5,8,9,10,11,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,8,54,49,3,12,24,14,7,{1,2,4,5,6,9,10,13,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,1,10,37,34,5,76,7,63,4,{2,3,6,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,25,19,6,100,57,10,35,20,40,{1,2,3,4,5,8,9,11,12,13,14,15,16,17,18,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,22,7,26,76,54,4,68,44,25,{1,2,3,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,13,1,21,32,40,65,39,6,37,{2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,31,48,21,7,58,39,64,29,54,{1,2,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,10,6,17,46,16,14,70,7,{1,3,4,5,8,11,12,13,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,47,34,4,25,41,55,27,36,{2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,35,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,13,100,22,24,12,26,35,60,{1,2,3,5,6,7,8,9,10,14,15,16,17,18,19,20,21,23,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 43,100,7,57,75,8,16,52,64,35,{1,2,3,4,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,32,21,22,5,26,20,16,62,17,{1,2,3,4,6,7,8,9,10,11,12,13,14,18,19,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,37,6,2,15,3,5,50,16,40,{1,4,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,27,25,3,30,100,5,15,7,24,{1,2,4,6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,15,26,8,4,9,42,49,3,28,{1,2,5,6,7,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,16,9,20,2,27,25,46,1,43,{3,4,5,6,7,8,11,12,13,14,15,17,18,19,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,26,60,38,72,3,63,100,27,17,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,1,17,58,11,40,30,16,93,51,{3,4,5,6,7,8,9,10,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 27,68,10,100,6,11,36,86,76,16,{1,2,3,4,5,7,8,9,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,42,12,1,62,26,18,34,21,17,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,19,20,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,7,5,4,27,21,6,60,29,28,{1,2,3,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,4,35,38,29,3,20,59,10,49,{2,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,29,5,4,81,20,36,33,87,62,{1,2,3,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,35,76,7,5,45,11,57,18,17,{1,2,3,4,6,9,10,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,100,6,8,5,3,19,47,81,84,{1,2,4,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,20,37,6,100,9,4,1,30,63,{3,5,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,25,21,72,18,24,71,5,39,17,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,19,20,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,24,6,21,100,1,5,2,8,17,{3,4,7,9,10,11,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,100,8,5,1,29,62,48,30,41,{2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,12,22,16,5,46,32,72,40,73,{1,2,3,4,6,7,8,9,10,11,13,14,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,41,31,11,69,8,16,30,24,59,{1,2,3,4,5,6,7,9,10,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,1,10,13,7,27,54,69,29,{2,3,4,5,6,9,11,12,14,15,16,17,18,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,22,9,28,14,52,57,90,17,{1,3,4,5,6,7,8,10,11,12,13,16,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 8,6,47,4,43,11,88,41,51,29,{1,2,3,5,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,12,5,8,20,50,9,18,34,94,{1,2,3,4,6,7,10,11,13,14,15,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 2,3,61,37,30,6,59,39,57,7,{1,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,81,13,27,98,57,70,14,64,{2,3,4,5,6,7,8,9,10,12,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 2,13,15,9,10,11,22,40,14,17,{1,3,4,5,6,7,8,12,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,20,2,98,29,21,34,42,81,28,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,22,23,24,25,26,27,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 22,11,18,20,9,10,21,12,49,45,{1,2,3,4,5,6,7,8,13,14,15,16,17,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,27,19,8,54,39,12,18,62,40,{1,2,3,4,5,6,7,9,10,11,14,15,16,17,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,100,11,20,37,52,40,44,16,84,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,31,65,39,10,38,22,60,16,72,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,25,16,2,7,52,18,32,64,42,{1,3,4,5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,8,7,17,6,68,28,15,14,40,{1,2,4,5,9,10,11,12,13,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,26,2,7,1,67,65,42,10,4,{3,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,5,95,20,19,67,11,77,6,7,{1,2,3,4,8,10,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 19,9,63,2,29,13,15,21,49,32,{1,3,4,5,6,7,8,10,11,12,14,16,17,18,20,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,13,15,27,100,3,14,12,89,{1,2,4,5,6,7,9,10,11,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 51,14,20,96,10,5,3,12,48,35,{1,2,4,6,7,8,9,11,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 19,21,9,15,27,3,100,29,35,1,{2,4,5,6,7,8,10,11,12,13,14,16,17,18,20,22,23,24,25,26,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,20,25,26,18,100,3,14,24,48,{1,2,4,5,6,7,8,9,10,11,12,15,16,17,19,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,31,62,12,90,16,95,42,67,58,{1,3,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,96,97,98,99,100}
1: 15,21,26,8,9,7,59,30,23,14,{1,2,3,4,5,6,10,11,12,13,16,17,18,19,20,22,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,46,39,26,12,23,5,10,28,19,{2,3,4,6,7,8,9,11,13,14,15,16,17,18,20,21,22,24,25,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,10,17,20,36,62,39,28,18,3,{1,2,5,6,7,8,9,11,12,13,14,15,16,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,23,46,74,14,10,63,40,28,30,{1,2,3,4,5,7,8,9,11,12,13,15,16,17,18,19,20,21,22,24,25,26,27,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,11,10,5,25,12,18,13,29,{1,2,6,7,8,9,14,15,16,17,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,12,10,95,6,2,35,9,1,17,{3,4,5,7,8,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,27,19,21,36,20,5,79,24,44,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,28,13,3,30,52,21,16,70,{1,2,4,5,6,7,9,10,11,12,14,15,17,18,19,20,22,23,24,25,26,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,11,22,57,12,45,42,94,97,{1,3,4,5,6,7,9,10,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,98,99,100}
1: 11,5,3,19,9,36,15,16,49,4,{1,2,6,7,8,10,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,5,37,15,32,1,52,16,26,29,{2,3,4,6,7,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,27,28,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,40,3,48,8,46,24,13,10,14,{2,4,5,6,7,9,11,12,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 67,37,4,11,38,100,5,41,24,68,{1,2,3,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,1,13,10,3,12,14,16,5,29,{2,4,6,7,8,9,11,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,1,2,20,50,95,23,18,35,58,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,2,37,3,1,74,34,10,35,43,{4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,4,46,18,5,14,31,39,71,{1,3,6,7,8,9,10,11,12,13,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,13,24,100,22,3,98,57,5,7,{1,2,4,6,8,9,10,11,12,14,15,16,17,18,19,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 7,25,9,2,28,27,24,93,33,38,{1,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 4,8,11,61,18,87,52,24,33,5,{1,2,3,6,7,9,10,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,6,63,9,14,26,100,95,50,13,{1,2,3,4,5,7,8,10,11,12,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 9,3,15,8,2,25,11,13,17,65,{1,4,5,6,7,10,12,14,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,16,21,18,3,24,40,7,86,{1,2,5,6,9,10,11,12,13,14,15,17,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,20,4,6,46,35,83,30,43,85,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,34,64,5,32,63,6,67,92,{1,2,3,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 4,25,19,12,56,46,21,36,27,17,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,20,22,23,24,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,3,16,7,20,5,41,67,56,{1,2,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,21,53,1,100,32,26,20,4,49,{2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,21,8,13,5,25,39,6,4,24,{1,2,3,7,9,10,11,12,14,16,17,18,19,20,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 90,27,3,7,16,33,47,43,70,74,{1,2,4,5,6,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 39,1,48,6,100,52,24,5,11,2,{3,4,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,8,48,67,56,18,35,4,17,{1,5,6,7,9,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,6,12,9,10,57,60,28,1,18,{2,3,4,5,7,8,11,13,14,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,15,1,100,25,79,56,5,68,69,{2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,20,14,8,34,100,91,38,4,40,{2,3,5,6,7,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 8,37,61,7,40,9,57,3,10,23,{1,2,4,5,6,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,9,26,57,3,7,25,12,51,{1,2,4,5,10,11,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,22,26,2,54,46,44,100,39,29,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,51,16,27,98,47,11,18,52,{1,3,4,5,6,7,8,9,10,12,13,14,15,17,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 2,37,5,30,11,14,1,80,43,28,{3,4,6,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,34,53,73,5,55,28,47,89,{1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 18,1,3,22,27,24,34,25,43,4,{2,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,23,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,15,9,3,18,67,30,5,16,4,{1,2,6,7,8,10,11,12,13,14,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,45,13,100,22,24,91,12,46,55,{1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 1,15,46,47,4,16,7,44,100,3,{2,5,6,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,15,14,27,31,1,5,10,52,35,{2,3,4,6,7,9,11,12,13,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,40,7,2,14,29,58,22,47,35,{1,3,4,5,6,8,9,10,11,12,13,15,16,17,18,19,21,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,18,1,30,5,4,8,14,52,24,{2,3,6,7,10,11,12,13,15,16,17,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,13,33,10,7,12,6,17,3,38,{1,2,4,5,8,9,11,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,5,24,21,47,9,31,23,40,{1,2,3,6,7,10,11,12,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,54,25,7,40,16,95,9,33,3,{1,2,4,5,6,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,7,23,79,100,3,12,27,13,6,{1,2,4,5,8,9,10,11,14,15,16,17,18,19,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,13,29,41,7,20,14,10,34,57,{1,2,4,5,6,8,9,11,12,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,1,10,11,100,28,6,46,16,{3,4,5,7,8,9,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,19,26,20,18,7,30,97,100,{1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,21,22,23,24,25,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 100,14,8,65,27,17,9,19,13,3,{1,2,4,5,6,7,10,11,12,15,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,73,2,3,23,5,21,39,17,16,{1,4,6,7,8,9,10,11,12,13,14,15,18,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,19,26,76,35,27,21,98,12,18,{1,2,3,4,5,6,7,8,10,11,13,14,15,16,17,20,22,23,24,25,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 19,9,6,51,4,27,40,100,23,55,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 39,31,20,7,49,43,14,19,5,92,{1,2,3,4,6,8,9,10,11,12,13,15,16,17,18,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 6,38,37,2,8,9,11,22,12,59,{1,3,4,5,7,10,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,63,37,27,31,1,22,77,49,67,{2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,29,17,24,42,23,56,2,19,1,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,21,22,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,3,5,21,41,10,68,27,20,49,{1,2,4,6,7,8,9,11,12,13,14,15,16,17,18,19,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,36,11,28,10,3,5,57,43,29,{1,2,4,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,11,15,2,9,3,30,42,97,{1,4,5,6,7,10,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,51,71,2,3,5,49,50,94,74,{1,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 6,1,23,11,12,33,37,54,3,98,{2,4,5,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 21,18,35,25,6,100,5,8,2,23,{1,3,4,7,9,10,11,12,13,14,15,16,17,19,20,22,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,7,3,54,30,24,20,56,82,42,{1,2,4,5,6,8,9,10,11,12,13,14,16,17,18,19,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,20,18,17,9,22,10,3,30,{1,2,5,6,7,8,11,12,13,14,15,16,19,21,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,32,8,6,22,38,100,29,98,90,{1,2,3,4,5,7,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,99}
1: 51,26,63,9,52,43,62,84,17,59,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,53,54,55,56,57,58,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,25,31,13,29,40,52,27,72,44,{1,2,3,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,26,28,30,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,6,14,29,44,1,46,21,15,{3,5,7,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,11,1,26,18,12,28,61,71,{2,3,4,5,6,7,8,13,14,15,16,17,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,65,20,7,23,30,91,12,4,38,{1,2,3,5,6,8,10,11,13,14,15,16,17,18,19,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 15,6,25,11,24,5,42,10,12,3,{1,2,4,7,8,9,13,14,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,100,24,63,32,22,3,23,33,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,41,100,5,10,9,72,16,23,24,{1,2,3,6,7,8,11,12,13,14,15,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,34,54,4,42,11,17,100,28,92,{1,2,3,5,6,7,8,9,10,12,13,14,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 13,8,7,28,3,26,15,2,51,16,{1,4,5,6,9,10,11,12,14,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,100,2,45,43,38,51,52,97,{1,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 32,24,73,72,26,10,94,3,6,45,{1,2,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 2,1,12,23,52,11,10,27,61,30,{3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,22,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 44,15,31,2,43,60,17,46,10,12,{1,3,4,5,6,7,8,9,11,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,3,100,6,4,12,52,24,1,{2,5,7,9,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,5,100,54,56,13,25,35,85,38,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,76,74,19,40,13,50,24,17,16,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,79,100,36,59,5,29,54,1,{2,3,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,20,28,58,5,23,12,10,4,31,{1,2,3,6,7,8,9,11,13,14,15,16,17,18,21,22,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,26,11,3,17,49,56,22,33,12,{1,2,4,5,6,7,8,9,10,13,14,15,16,18,19,20,21,23,24,25,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,42,38,13,1,18,31,17,48,12,{3,4,5,6,7,8,9,10,11,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,19,18,13,21,5,10,11,4,34,{1,2,3,6,7,8,9,12,14,15,16,17,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,5,38,19,10,25,14,29,12,1,{2,3,4,6,8,9,11,13,15,16,17,18,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,37,2,44,6,80,63,62,93,55,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 100,3,9,5,1,34,56,38,7,12,{2,4,6,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,26,27,20,44,30,4,36,14,59,{1,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,28,29,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,35,5,2,4,58,16,17,7,100,{1,3,6,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,48,26,29,4,1,3,5,99,81,{2,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 9,40,83,30,100,13,27,8,19,97,{1,2,3,4,5,6,7,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 8,13,15,21,70,14,30,75,80,6,{1,2,3,4,5,7,9,10,11,12,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,33,13,14,12,15,21,25,62,35,{1,2,3,4,5,6,7,8,9,10,11,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,13,21,17,74,46,57,18,5,{1,2,3,4,6,7,8,10,12,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,10,4,25,37,23,5,3,100,13,{1,2,6,7,8,9,11,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,7,21,24,12,90,28,72,40,80,{1,2,3,4,5,6,8,9,10,11,13,14,16,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 11,100,61,2,54,51,53,78,6,4,{1,3,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,11,15,26,22,46,12,100,5,16,{1,2,3,4,6,7,8,9,10,13,14,17,18,19,20,21,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,7,46,2,100,49,50,29,4,57,{1,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,6,15,8,1,55,18,28,12,35,{2,3,4,5,7,9,10,11,13,14,16,17,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,37,32,91,76,5,40,77,24,12,{2,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 19,11,34,10,33,42,100,29,67,31,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,30,32,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,8,6,37,7,9,78,10,20,16,{1,2,3,4,5,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,6,7,25,15,71,30,4,90,59,{1,2,3,5,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 100,12,11,14,18,13,54,57,36,80,{1,2,3,4,5,6,7,8,9,10,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,47,9,57,38,23,31,42,49,30,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,43,44,45,46,48,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,2,13,26,30,27,8,12,70,{1,3,4,6,7,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,47,10,21,41,23,3,82,4,48,{1,2,5,6,7,8,9,11,12,13,14,15,16,17,18,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,26,21,11,10,5,23,28,24,43,{1,2,3,4,7,8,9,12,13,14,15,16,17,18,19,20,22,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,10,45,16,38,24,40,100,36,51,{2,3,4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,39,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,15,100,32,27,24,69,86,94,{2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,95,96,97,98,99}
1: 8,19,11,2,27,39,37,29,3,22,{1,4,5,6,7,9,10,12,13,14,15,16,17,18,20,21,23,24,25,26,28,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 62,10,9,26,18,65,14,40,7,69,{1,2,3,4,5,6,8,11,12,13,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,1,14,15,7,3,9,5,39,33,{2,4,6,8,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,79,21,3,12,20,16,44,40,{2,4,5,6,7,9,10,11,13,14,15,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,15,10,20,17,11,55,74,44,100,{1,2,3,4,5,6,7,8,9,12,13,14,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,39,45,56,27,36,16,19,50,15,{1,2,4,5,6,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,5,25,19,8,6,44,69,49,{1,2,3,4,7,9,10,11,12,13,14,15,16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,13,23,25,38,11,8,100,9,16,{1,2,3,4,5,7,10,12,14,15,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,9,17,28,14,82,67,6,66,{1,4,5,7,8,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,30,38,21,2,26,10,18,20,31,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,19,22,23,24,25,27,28,29,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,12,3,20,9,31,87,25,1,7,{2,4,5,6,8,10,11,13,14,15,16,17,18,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,30,20,47,10,51,62,7,59,{1,2,3,4,5,8,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,8,45,100,30,14,1,64,36,20,{2,3,4,5,6,7,9,10,11,12,13,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,22,3,4,25,11,100,35,45,38,{1,2,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,4,6,17,24,84,1,12,42,3,{2,5,7,8,9,10,11,13,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,29,45,49,32,14,23,20,79,{1,2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,21,22,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,11,1,10,2,6,8,52,27,4,{3,5,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,51,16,30,2,20,21,37,18,{1,3,4,5,7,8,9,10,11,12,13,15,17,19,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,8,27,1,5,12,68,7,42,49,{2,3,4,6,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,13,100,10,28,12,48,74,18,{1,2,3,4,5,6,7,9,11,14,15,16,17,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,8,6,5,100,16,2,12,36,23,{1,3,4,7,9,10,11,13,14,15,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,20,46,8,23,55,33,38,70,17,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,22,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,4,7,34,10,3,1,29,72,{2,5,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,19,15,13,2,23,7,3,29,60,{1,4,5,6,8,9,10,11,12,14,16,17,18,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,84,1,16,6,21,11,72,49,{2,3,4,5,7,8,9,10,12,13,14,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,48,50,5,23,7,4,51,35,8,{1,2,3,6,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,36,19,37,58,43,21,5,26,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,27,28,29,30,31,32,33,34,35,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,100,60,79,9,3,20,15,27,19,{1,2,4,5,6,7,8,10,11,12,13,14,16,17,18,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,10,3,7,38,33,52,16,6,18,{1,2,4,5,8,9,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,15,22,43,80,7,16,28,89,23,{1,2,3,4,5,8,9,10,11,12,13,14,17,18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,64,2,50,1,3,15,100,29,{4,5,6,7,9,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,96,2,16,51,26,4,30,10,6,{1,3,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 32,36,11,1,2,7,10,63,28,51,{3,4,5,6,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,35,34,21,24,5,31,13,10,56,{1,2,3,4,7,8,9,11,12,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 76,100,11,2,21,30,27,91,75,59,{1,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 2,36,53,100,51,7,45,65,78,16,{1,3,4,5,6,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,11,13,16,48,19,12,100,3,5,{1,2,4,6,7,8,9,10,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,100,25,26,75,39,18,95,41,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 9,15,5,44,71,21,19,42,93,56,{1,2,3,4,6,7,8,10,11,12,13,14,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 21,24,4,35,34,82,17,83,36,5,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,37,34,1,94,2,52,100,12,29,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 39,27,59,12,6,16,4,9,7,75,{1,2,3,5,8,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,7,17,6,29,2,47,46,18,{1,3,4,5,9,10,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,24,8,19,5,30,32,42,84,16,{1,2,3,4,6,7,9,11,12,13,14,15,17,18,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,13,23,11,12,7,44,62,77,{1,2,3,4,5,6,9,10,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,1,8,21,45,13,100,12,20,30,{2,4,5,6,7,9,10,11,14,15,16,17,18,19,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,20,100,45,7,17,15,6,36,4,{1,2,3,5,8,9,11,12,13,14,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,27,34,54,100,5,44,63,49,17,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,20,22,3,23,39,15,7,6,71,{1,2,4,5,9,10,11,12,13,14,16,17,18,19,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,26,30,16,22,23,34,73,29,{1,3,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,24,25,27,28,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,8,13,15,21,46,37,14,30,40,{1,2,3,4,5,6,7,9,10,11,12,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,38,57,22,100,24,5,3,26,9,{2,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,10,26,3,25,22,29,43,33,81,{1,2,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,27,28,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,5,13,9,100,20,19,36,30,16,{1,2,3,6,7,8,10,11,12,14,15,17,18,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,3,4,41,15,34,6,1,69,16,{2,5,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,34,30,21,9,100,62,53,15,4,{1,2,3,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,24,21,23,89,1,84,42,99,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,90,91,92,93,94,95,96,97,98,100}
1: 8,62,7,15,5,100,63,24,16,1,{2,3,4,6,9,10,11,12,13,14,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,27,1,6,23,68,43,29,16,40,{2,3,5,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,28,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,100,7,72,1,67,90,27,12,6,{2,4,5,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 15,19,48,12,1,34,51,5,35,3,{2,4,6,7,8,9,10,11,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,65,46,39,6,16,95,1,33,77,{2,3,4,5,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,7,4,11,10,20,16,75,94,45,{2,3,5,6,8,9,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 9,16,13,11,40,32,20,12,1,7,{2,3,4,5,6,8,10,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,24,3,22,1,25,2,27,72,64,{4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,20,36,15,76,4,16,7,44,35,{1,3,5,6,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,4,13,25,24,63,18,1,34,23,{2,3,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,31,13,100,3,26,6,52,24,14,{1,2,4,5,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,59,34,1,33,28,2,100,7,56,{3,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,15,19,100,6,10,62,7,32,4,{1,2,3,5,8,9,11,12,13,14,16,17,18,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,53,100,21,3,22,17,57,49,6,{1,2,4,5,7,9,10,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,4,22,5,38,16,12,55,28,{1,2,3,6,7,10,11,13,14,15,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,12,27,47,75,23,49,7,17,{1,2,3,4,5,9,10,11,13,14,15,16,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,10,41,13,75,20,46,15,7,{1,3,4,5,6,8,9,11,12,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,4,1,15,26,13,25,69,11,59,{2,3,5,6,7,8,9,12,14,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,15,3,26,32,31,29,24,18,28,{1,2,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,27,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,27,65,41,35,8,9,100,23,33,{1,2,3,4,5,6,7,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,21,45,26,4,10,75,57,27,17,{1,2,3,5,6,7,9,11,12,13,14,15,16,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,100,9,21,23,63,12,44,35,{1,3,4,5,6,7,8,10,11,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,19,1,29,45,8,23,18,56,17,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,5,100,19,9,1,30,38,52,15,{2,3,4,6,7,8,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,7,37,88,31,15,14,42,18,36,{1,2,3,4,5,6,8,9,10,11,12,13,16,17,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,47,66,3,33,5,14,16,38,25,{1,2,6,7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,7,29,14,10,51,24,64,23,{1,2,3,4,5,6,9,11,12,13,15,16,17,18,19,20,21,22,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,2,10,100,67,27,31,1,16,39,{3,4,5,6,7,8,9,11,12,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,1,11,41,2,23,3,60,30,{5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,10,28,12,100,9,5,24,36,1,{2,3,4,6,7,8,11,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,8,5,11,1,15,97,69,80,39,{2,4,6,7,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,13,2,10,31,39,30,14,3,40,{1,5,6,7,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,43,15,36,18,19,8,5,30,33,{1,2,3,4,6,7,9,10,11,12,14,16,17,20,21,22,23,24,25,26,27,28,29,31,32,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,27,1,44,14,52,28,3,100,9,{2,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,47,11,48,24,36,13,21,35,42,{1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,22,100,57,3,13,6,25,40,44,{1,2,4,5,7,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,6,27,5,11,44,4,60,25,18,{1,2,3,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,21,20,100,65,25,14,36,38,{1,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,22,23,24,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,13,21,1,37,36,9,100,3,{2,4,5,7,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,57,28,12,77,8,3,5,16,2,{1,4,6,7,9,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,6,4,9,11,35,1,7,22,43,{2,3,5,8,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,57,11,3,15,16,36,62,35,66,{1,2,4,5,6,7,8,9,10,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,31,24,36,21,14,64,6,23,{1,2,3,4,5,7,8,10,11,12,13,15,16,17,18,19,20,22,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,45,10,34,14,13,48,2,7,3,{1,4,5,6,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,27,36,26,1,11,22,28,24,{2,3,5,6,7,8,9,10,12,14,15,16,17,18,19,20,21,23,25,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,18,29,30,45,2,7,6,41,36,{1,3,4,5,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,31,32,33,34,35,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,10,2,35,6,45,12,32,56,{1,3,4,5,7,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,100,47,5,92,11,20,10,28,45,{1,2,3,4,6,7,8,9,12,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 2,88,3,53,17,89,77,24,12,10,{1,4,5,6,7,8,9,11,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,18,64,29,71,1,12,42,90,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 8,44,7,10,13,12,15,26,86,52,{1,2,3,4,5,6,9,11,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,8,73,23,2,14,59,29,25,7,{1,3,4,5,6,9,10,11,12,13,15,16,17,18,19,21,22,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,25,10,100,39,37,71,17,48,98,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 7,9,1,21,32,15,27,40,90,64,{2,3,4,5,6,8,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 9,5,41,51,23,7,36,19,8,6,{1,2,3,4,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,41,9,19,7,61,60,22,1,14,{2,3,4,5,6,8,10,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,20,85,35,13,15,100,75,17,10,{1,2,3,4,5,6,7,8,9,11,12,14,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,21,10,9,27,38,3,25,16,1,{2,4,5,6,7,8,11,12,13,14,15,17,18,19,22,23,24,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,3,54,48,36,10,57,33,27,14,{1,2,4,5,6,7,8,9,11,12,13,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,31,17,28,42,3,35,24,15,4,{1,2,5,6,7,8,9,10,11,12,13,14,16,18,20,21,22,23,25,26,27,29,30,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,64,76,13,26,11,63,49,34,92,{1,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 7,15,18,46,6,14,4,17,32,16,{1,2,3,5,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,37,100,45,60,16,5,11,39,54,{1,2,3,4,6,7,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,46,47,48,49,50,51,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,73,21,61,9,2,45,22,24,77,{3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,3,60,100,2,68,52,7,40,{4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,51,34,26,5,3,100,30,20,29,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,28,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,10,19,71,33,14,63,83,78,23,{1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,7,22,1,10,19,29,3,50,33,{2,4,5,6,8,9,11,12,13,14,15,16,17,18,20,21,23,24,25,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,6,25,24,30,60,55,3,44,{2,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,31,15,25,10,22,66,9,16,{1,2,3,4,5,6,7,11,12,13,14,17,18,19,20,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 90,1,9,8,10,100,18,62,15,47,{2,3,4,5,6,7,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 2,11,56,8,46,9,27,18,57,42,{1,3,4,5,6,7,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,47,3,37,5,25,29,33,1,10,{2,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,9,30,8,2,39,33,4,35,23,{1,3,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,31,32,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,64,73,10,3,49,16,40,52,4,{1,2,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 62,8,4,18,2,16,60,12,33,68,{1,3,5,6,7,9,10,11,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,25,50,10,31,3,11,5,27,33,{2,4,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,31,21,18,100,1,43,12,29,{2,3,4,5,7,9,10,11,13,14,15,16,17,19,20,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,100,73,9,10,38,47,7,25,51,{1,2,3,4,6,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,9,35,34,30,31,1,67,7,4,{2,3,5,6,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,25,15,1,30,29,36,33,16,18,{2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,20,21,22,23,24,26,27,28,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,3,9,34,69,17,83,7,78,38,{1,2,4,5,6,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,6,9,32,34,1,23,24,17,56,{2,3,4,5,7,8,10,11,12,14,15,16,18,19,20,21,22,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,6,100,4,27,30,50,7,29,{2,3,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,14,45,100,5,56,28,21,32,18,{1,2,3,4,7,8,9,10,11,12,13,15,16,17,19,20,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,20,11,7,26,30,24,28,13,38,{1,2,3,4,5,6,8,9,10,12,14,15,16,17,18,19,21,22,23,25,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,12,60,20,13,54,8,18,31,21,{1,2,3,4,5,6,7,9,11,14,15,16,17,19,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 88,2,81,5,9,3,23,70,1,17,{4,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,39,9,71,94,98,29,2,21,{1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,99,100}
1: 40,71,7,9,8,27,21,20,14,28,{1,2,3,4,5,6,10,11,12,13,15,16,17,18,19,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,100,22,50,31,29,10,1,35,{2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,57,34,11,25,14,28,20,30,6,{1,2,3,4,5,7,8,9,10,12,13,15,16,17,18,19,21,22,23,24,26,27,29,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,37,1,3,38,6,11,20,14,{2,4,5,7,8,9,10,12,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,6,26,12,5,50,16,13,52,{1,2,3,4,7,8,10,11,14,15,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,64,41,100,76,47,4,14,26,60,{1,2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,15,6,21,34,16,83,31,28,64,{1,2,3,4,7,8,9,10,11,12,13,14,17,18,19,20,22,23,24,25,26,27,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,31,25,2,58,3,95,43,29,{1,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 6,61,1,13,5,14,30,41,72,62,{2,3,4,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,61,34,22,7,38,4,10,14,17,{1,2,3,5,6,9,11,12,13,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,58,18,47,20,11,3,33,12,4,{1,2,5,6,7,9,10,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,3,5,30,20,18,28,21,59,{4,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,7,39,21,20,46,47,24,6,33,{1,2,3,5,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,1,6,56,46,26,62,28,27,21,{2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 72,44,2,5,70,75,29,52,59,4,{1,3,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,71,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,1,3,7,39,12,45,48,16,{2,5,6,8,9,10,11,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 63,57,41,14,100,17,37,13,7,16,{1,2,3,4,5,6,8,9,10,11,12,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,6,16,11,26,3,20,13,43,23,{1,2,4,5,7,8,9,10,12,14,15,17,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,22,14,45,10,62,7,91,100,{1,2,3,4,5,6,9,11,12,13,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 3,100,45,29,19,5,34,31,23,1,{2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,30,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,5,13,25,19,1,35,76,51,27,{2,3,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,25,14,6,24,12,26,64,32,22,{1,2,3,4,5,8,9,10,11,13,15,16,17,18,19,20,21,23,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,1,50,18,11,9,4,47,24,{2,3,5,6,7,10,12,13,14,15,16,17,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,8,2,32,100,21,9,20,4,6,{1,3,5,7,10,11,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,34,22,19,37,30,25,72,23,24,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,20,21,26,27,28,29,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,17,19,8,61,100,20,87,12,16,{2,3,4,5,6,7,9,10,11,13,14,15,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,1,22,18,34,10,26,39,40,16,{2,3,4,5,6,7,8,9,11,12,13,14,17,19,20,21,23,24,25,27,28,29,30,31,32,33,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,10,5,51,63,16,12,49,43,{1,2,3,4,6,7,8,9,11,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,43,13,22,29,78,35,12,61,9,{2,3,4,5,6,7,8,10,11,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,25,1,15,58,36,41,64,66,17,{2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,51,6,20,12,7,37,36,21,38,{1,2,3,4,5,8,9,10,11,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,19,32,27,1,98,12,52,10,77,{2,4,5,6,7,8,9,11,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 27,12,20,5,24,38,33,52,64,59,{1,2,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,25,26,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,36,7,6,25,9,2,13,35,18,{1,3,4,5,8,11,12,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,27,18,41,13,12,6,4,94,21,{1,2,3,5,7,8,9,10,11,14,15,16,17,19,20,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,10,6,11,16,58,30,25,84,23,{1,2,3,4,5,7,9,12,13,14,15,17,18,19,20,21,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,3,24,57,1,18,7,75,100,{4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 83,11,3,49,7,10,33,12,6,35,{1,2,4,5,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,15,12,68,11,29,14,5,49,42,{1,2,3,4,6,7,8,9,10,13,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,14,24,1,49,62,21,34,32,6,{2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,33,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,26,10,100,95,17,28,16,54,{2,3,4,5,6,7,8,11,12,13,14,15,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 14,7,22,16,10,27,31,100,88,30,{1,2,3,4,5,6,8,9,11,12,13,15,17,18,19,20,21,23,24,25,26,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,9,11,55,3,6,4,28,40,{1,5,7,8,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,41,3,13,16,76,9,32,40,44,{1,2,4,5,6,7,8,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,61,37,20,1,5,50,34,90,{3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 13,10,37,18,30,55,4,23,1,25,{2,3,5,6,7,8,9,11,12,14,15,16,17,19,20,21,22,24,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,20,13,9,16,23,30,17,18,91,{1,2,3,4,5,6,7,8,11,12,14,15,19,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,8,100,3,7,6,51,82,42,21,{1,2,5,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,6,7,21,26,51,4,15,33,62,{2,3,5,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,14,11,6,7,38,5,12,48,78,{1,2,3,4,8,9,10,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,10,4,21,54,5,87,16,7,{1,2,3,6,9,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,57,20,34,5,13,1,7,28,16,{2,3,4,6,8,9,10,11,12,14,15,17,18,19,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,26,96,28,25,24,21,94,6,4,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,97,98,99,100}
1: 13,11,8,16,19,25,14,67,28,3,{1,2,4,5,6,7,9,10,12,15,17,18,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,21,10,37,38,8,14,48,24,{2,3,4,5,7,9,11,12,13,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,37,38,100,36,5,30,35,78,28,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 33,6,68,11,18,3,64,45,48,1,{2,4,5,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,27,8,20,21,2,75,23,100,{3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,16,55,10,2,1,37,42,36,15,{3,4,5,6,7,8,9,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,11,12,8,54,33,52,4,30,42,{1,2,3,5,6,7,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,71,48,3,13,62,30,74,36,{1,2,4,5,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,19,2,7,28,33,5,29,14,57,{1,3,4,6,8,9,10,11,12,13,15,16,17,18,20,21,23,24,25,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,9,21,4,3,58,23,51,20,{1,5,7,8,10,11,12,13,14,15,16,17,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,9,6,19,10,30,27,32,13,12,{1,2,3,4,5,7,8,11,15,16,17,18,20,21,22,23,24,25,26,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 67,54,11,19,50,21,93,10,33,27,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,20,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 70,22,5,9,26,14,34,42,4,27,{1,2,3,6,7,8,10,11,12,13,15,16,17,18,19,20,21,23,24,25,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,5,100,29,38,32,36,1,18,{2,4,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,4,100,24,14,16,49,46,71,22,{1,3,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,6,28,18,23,24,11,13,49,41,{1,2,3,5,7,8,9,10,12,14,15,16,17,19,20,21,22,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,36,74,5,43,1,29,14,42,{2,3,4,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,2,58,21,12,52,29,30,14,{1,4,5,6,7,9,10,11,13,15,16,17,18,19,20,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,100,51,14,33,29,1,16,42,{2,3,4,5,6,7,9,10,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,15,19,27,100,1,18,34,59,49,{2,3,4,5,6,7,9,10,11,12,13,14,16,17,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,3,9,22,26,100,1,30,29,35,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,28,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,39,10,29,2,49,3,94,7,38,{1,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 59,3,10,6,1,30,27,37,28,56,{2,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,41,35,100,48,57,39,7,31,72,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,3,30,5,7,39,6,14,99,61,{1,2,4,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 13,21,15,23,100,57,14,10,5,33,{1,2,3,4,6,7,8,9,11,12,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,13,1,27,20,5,17,16,6,28,{2,3,4,7,8,9,10,11,12,14,15,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,4,5,3,32,51,24,75,6,69,{1,2,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,21,11,1,23,2,71,29,64,38,{3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,22,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,25,12,3,4,5,2,35,52,{1,6,7,8,9,10,11,13,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,19,79,7,2,5,8,18,34,35,{1,3,4,6,9,10,11,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,22,6,40,10,3,2,35,30,16,{1,4,5,7,8,9,11,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,1,57,3,8,5,23,17,36,30,{2,4,6,7,9,10,11,12,13,15,16,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,32,100,20,7,6,35,22,25,{1,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,23,24,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,3,11,25,15,41,44,48,29,90,{2,4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 53,13,19,27,22,14,51,5,1,60,{2,3,4,6,7,8,9,10,11,12,15,16,17,18,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,61,28,82,100,16,47,86,48,40,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 75,17,6,1,5,53,8,18,12,24,{2,3,4,7,9,10,11,13,14,15,16,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,2,16,3,13,57,23,26,62,{1,4,5,6,7,8,9,10,11,12,14,15,17,18,19,20,21,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,71,5,69,7,21,10,19,4,{1,3,8,9,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,1,15,2,49,100,32,39,36,{3,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,6,89,27,23,38,46,100,16,{2,3,4,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 1,7,3,26,10,24,28,30,62,35,{2,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,7,18,30,4,12,69,14,22,{1,2,3,5,6,8,9,11,13,15,16,17,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,9,25,36,1,2,52,18,14,35,{4,5,6,7,8,10,11,12,13,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,10,25,12,18,38,23,17,7,{1,2,3,4,5,8,9,11,13,14,15,16,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,32,22,100,55,40,63,24,28,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20,21,23,25,26,27,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,16,13,32,37,3,24,11,21,31,{1,2,5,6,7,8,9,10,12,14,15,17,18,19,20,22,23,25,26,27,28,29,30,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,29,30,10,87,37,65,33,26,18,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,43,100,6,61,21,2,7,13,34,{1,3,5,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,55,100,14,12,23,26,59,4,{1,2,3,5,6,7,9,10,11,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,57,53,14,12,24,52,46,32,45,{1,2,3,4,5,6,7,8,10,11,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,1,11,61,88,18,40,51,24,{2,3,4,5,6,7,9,10,12,13,14,15,16,17,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,18,21,100,17,53,12,5,30,52,{1,2,3,4,6,7,8,9,10,11,13,14,15,16,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,10,14,3,39,9,31,58,40,8,{1,2,4,5,6,7,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,19,10,5,56,41,9,42,30,36,{1,2,3,4,6,7,8,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,5,18,16,83,74,36,14,67,17,{1,2,3,4,6,7,8,9,10,11,12,13,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,20,4,13,12,7,34,37,21,18,{1,2,3,5,6,8,9,10,11,14,15,16,17,19,22,23,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 64,6,51,12,21,24,20,33,5,7,{1,2,3,4,8,9,10,11,13,14,15,16,17,18,19,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,95,53,49,27,26,10,9,33,24,{1,2,3,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,25,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,3,13,31,15,100,41,36,14,16,{2,4,5,6,7,8,9,10,11,12,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,7,1,3,10,24,2,21,72,29,{4,5,6,9,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,30,91,7,31,15,38,9,19,77,{1,2,3,4,5,6,8,10,11,12,13,14,16,17,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,5,23,46,13,21,30,40,7,50,{1,3,4,6,8,9,10,11,12,14,15,16,17,18,19,20,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,4,16,6,24,20,73,41,28,10,{2,3,5,7,8,9,11,12,13,14,15,17,18,19,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,41,45,39,2,8,19,42,53,64,{1,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,43,44,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,53,3,6,100,20,14,24,21,18,{1,4,5,7,8,9,10,11,12,13,15,16,17,19,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,15,6,3,14,21,62,42,24,95,{2,4,5,7,8,9,10,11,12,13,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 32,56,11,37,7,12,9,60,10,28,{1,2,3,4,5,6,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,62,21,12,41,14,42,35,7,{1,2,3,4,5,6,9,10,11,13,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,1,25,13,15,4,3,40,14,89,{2,5,6,7,8,9,10,11,12,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 100,19,27,21,2,44,49,16,30,38,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,22,23,24,25,26,28,29,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,26,25,21,1,50,16,38,33,17,{3,4,5,6,7,8,9,10,11,12,13,14,15,18,19,20,22,23,24,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,2,19,62,22,26,14,54,46,5,{1,3,4,6,7,8,9,11,12,13,15,16,17,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,35,6,9,27,42,5,100,56,72,{1,2,3,4,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,41,37,9,12,2,38,59,16,{1,3,4,5,6,7,10,11,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,39,15,58,92,9,90,3,28,12,{1,4,5,6,7,8,10,11,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,93,94,95,96,97,98,99,100}
1: 9,15,10,25,31,23,20,12,26,30,{1,2,3,4,5,6,7,8,11,13,14,16,17,18,19,21,22,24,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,59,14,74,3,55,4,42,33,47,{1,2,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,6,100,43,71,30,49,18,24,10,{1,2,3,4,5,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,53,8,76,6,27,17,1,4,41,{2,3,5,7,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,12,10,28,25,3,16,5,22,17,{1,2,4,6,7,8,9,11,13,14,15,18,20,21,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,18,37,3,8,1,25,7,28,35,{2,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,34,61,39,33,43,35,10,7,{2,3,4,5,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,100,26,12,13,15,27,28,69,{2,3,4,5,6,7,9,10,11,14,16,17,18,19,20,21,22,23,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,41,14,57,9,22,31,2,26,60,{1,3,4,5,6,7,8,10,11,12,13,15,16,17,18,20,21,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,27,25,9,21,100,5,98,86,{1,2,3,6,7,8,10,11,12,13,14,15,16,17,18,19,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,99}
1: 1,9,6,30,5,15,78,28,18,2,{3,4,7,8,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,18,3,55,44,4,42,35,1,{2,5,6,7,8,9,10,11,12,13,14,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,50,8,63,12,27,23,40,25,{1,2,4,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,24,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,14,8,2,10,100,42,22,31,28,{1,3,4,5,6,7,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,2,19,7,26,23,18,5,22,28,{1,3,4,6,8,9,10,11,12,13,14,15,16,17,20,21,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,12,8,22,21,4,42,50,69,{2,3,5,6,7,9,10,11,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,34,21,19,12,24,16,5,42,{2,3,4,6,7,9,10,11,13,14,15,17,18,20,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,10,19,15,4,8,16,51,63,17,{1,2,3,5,6,7,9,11,12,13,14,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,35,26,17,13,9,31,48,12,29,{1,2,3,4,5,6,7,8,11,14,15,16,18,19,20,21,22,23,24,25,27,28,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,100,13,8,99,17,18,83,25,{1,2,3,5,7,9,10,11,12,14,15,16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 9,2,1,5,31,12,24,92,25,14,{3,4,6,7,8,10,11,13,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 23,24,17,20,36,3,27,21,29,38,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,22,25,26,28,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 95,18,50,3,100,5,71,51,36,76,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 1,13,3,7,10,5,100,26,45,4,{2,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,9,11,57,22,100,12,21,1,39,{2,3,4,5,7,8,10,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,17,100,2,37,11,39,12,5,4,{1,3,6,7,8,9,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,100,50,6,25,54,66,5,1,30,{2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,3,17,52,26,27,30,75,32,42,{1,2,4,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,28,29,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,1,2,12,13,39,22,30,62,40,{3,4,5,6,8,9,10,11,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,27,13,10,5,12,7,30,38,18,{1,2,3,6,8,9,11,14,15,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,36,11,1,10,7,15,26,3,70,{2,4,5,6,8,9,12,13,14,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,22,4,26,71,16,5,35,18,{1,2,3,6,7,10,11,12,13,14,15,17,19,20,21,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,40,19,8,7,96,20,35,12,5,{2,3,4,6,9,10,11,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 12,9,10,52,5,18,42,49,43,48,{1,2,3,4,6,7,8,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 82,34,19,22,2,14,10,11,24,40,{1,3,4,5,6,7,8,9,12,13,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,19,37,9,23,47,68,16,72,12,{1,2,3,4,5,6,7,8,10,11,14,15,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,1,6,3,16,21,34,30,49,71,{2,4,5,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,25,38,1,43,21,30,6,14,{3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,86,20,23,5,40,54,33,18,92,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,19,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 20,2,12,33,4,6,28,19,26,69,{1,3,5,7,8,9,10,11,13,14,15,16,17,18,21,22,23,24,25,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,41,36,13,3,11,100,21,26,31,{1,2,4,5,6,7,8,9,10,12,14,16,17,18,19,20,22,23,24,25,27,28,29,30,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,26,15,3,64,19,9,43,79,89,{1,2,4,5,6,7,8,10,11,12,13,14,16,17,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 100,41,36,64,2,10,43,73,28,23,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,41,5,32,12,17,27,7,78,{1,2,3,4,6,8,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,6,13,10,20,36,12,5,66,42,{2,3,4,7,8,9,11,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,55,21,9,51,57,100,35,7,18,{1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,8,17,33,23,43,57,18,21,65,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,19,20,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,8,16,4,22,24,30,48,7,{1,3,5,9,10,11,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,19,31,54,12,33,11,44,30,24,{1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,20,22,23,25,26,27,28,29,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,27,41,17,22,21,30,39,38,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,23,24,25,26,28,29,31,32,33,34,35,36,37,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,10,11,54,29,42,23,35,3,4,{1,2,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,24,25,27,28,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,43,26,5,61,11,10,2,18,{3,4,6,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,19,36,6,54,27,82,33,28,16,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,37,9,22,11,12,77,91,40,74,{1,2,3,4,5,6,7,8,10,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 34,1,9,2,8,7,14,51,37,38,{3,4,5,6,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 67,100,51,22,28,27,2,13,29,26,{1,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,5,56,7,33,12,58,60,17,{1,3,4,6,8,9,10,11,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,34,23,64,35,37,1,15,7,3,{2,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,13,12,1,11,28,20,88,5,42,{2,3,4,6,7,8,9,10,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,27,51,4,33,11,72,24,15,{1,2,5,6,7,9,10,12,13,14,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,100,22,5,25,23,6,15,35,77,{1,2,3,4,7,8,9,10,11,12,13,14,16,17,18,19,20,21,24,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,33,1,11,35,75,58,15,18,{2,3,4,5,6,7,8,10,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,70,31,5,9,18,20,49,36,14,{1,2,3,4,6,7,8,10,11,12,13,16,17,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,5,46,39,23,26,10,28,12,{2,3,4,6,7,8,9,11,13,14,15,16,17,18,20,21,22,24,25,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,8,6,10,100,18,3,5,43,4,{1,2,7,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,20,25,10,16,6,51,5,12,13,{1,2,3,4,7,8,9,11,15,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,20,27,36,14,3,33,5,38,78,{1,2,4,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,7,38,18,2,12,31,28,65,99,{1,3,4,5,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 100,97,21,25,46,11,6,10,91,16,{1,2,3,4,5,7,8,9,12,13,14,15,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,98,99}
1: 13,41,1,11,2,33,4,10,44,84,{3,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 30,2,47,17,9,5,44,29,19,59,{1,3,4,6,7,8,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,100,8,15,5,95,10,34,11,64,{1,2,3,4,6,7,9,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 25,9,43,100,10,30,18,24,15,6,{1,2,3,4,5,7,8,11,12,13,14,16,17,19,20,21,22,23,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,8,19,13,6,63,31,15,26,17,{1,2,4,5,7,9,10,11,12,14,16,18,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,31,10,36,21,18,24,29,69,{1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,19,22,23,25,26,27,28,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,100,76,3,4,30,1,8,28,{2,5,6,7,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,15,48,29,31,14,6,32,28,23,{1,2,3,4,5,7,8,9,10,11,12,13,16,17,18,19,20,21,22,24,25,26,27,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,38,47,3,30,46,11,1,15,73,{4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,61,19,76,22,49,6,4,77,12,{1,2,3,5,7,8,9,10,11,13,14,15,16,17,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,2,11,43,72,39,45,24,3,{1,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,30,32,7,14,100,22,44,23,1,{2,3,4,5,6,9,10,11,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,11,3,51,25,93,34,44,49,7,{1,2,4,5,6,8,9,10,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 18,25,100,50,10,28,11,27,81,29,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,26,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,9,10,37,8,11,18,12,17,80,{1,3,4,5,6,7,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,79,5,22,45,51,14,77,50,48,{1,2,3,4,6,7,8,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,45,100,2,20,33,39,7,5,69,{1,3,4,6,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,22,7,100,5,27,66,80,55,29,{1,2,3,4,6,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,15,25,9,6,38,18,11,100,12,{1,2,3,4,5,7,8,10,13,14,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,5,11,20,14,36,18,71,61,1,{2,3,4,6,7,8,9,10,12,13,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,4,15,22,12,14,24,16,69,{1,2,3,5,6,7,8,9,10,13,17,18,19,20,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,45,8,19,11,74,20,34,30,{1,2,3,4,5,6,7,9,10,12,13,14,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,25,43,15,100,2,49,13,24,10,{1,3,4,5,6,7,9,11,12,14,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 29,22,5,7,38,15,18,1,12,16,{2,3,4,6,8,9,10,11,13,14,17,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,50,5,11,14,45,16,23,12,4,{1,2,3,6,7,9,10,13,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,45,18,41,94,28,12,39,36,59,{1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,1,19,2,39,11,9,37,40,12,{3,4,5,6,7,10,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,28,32,10,6,13,24,73,45,89,{1,2,3,4,5,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 13,15,20,82,4,5,8,6,24,22,{1,2,3,7,9,10,11,12,14,16,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,30,22,82,13,8,24,89,6,40,{1,2,3,4,5,7,9,10,12,14,15,16,17,18,19,20,21,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 7,48,11,9,17,8,30,59,35,50,{1,2,3,4,5,6,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,20,5,9,6,59,81,42,67,69,{1,2,3,4,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,68,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,62,21,32,27,20,12,11,17,14,{1,3,4,5,6,7,8,9,10,13,15,16,18,19,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,1,9,22,29,7,12,14,17,{2,3,4,5,6,10,11,13,15,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,48,37,100,16,22,27,23,32,42,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,24,25,26,28,29,30,31,33,34,35,36,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,19,58,8,16,5,18,54,86,4,{1,2,3,7,9,10,11,12,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,13,25,19,11,51,10,100,24,{1,2,3,4,5,7,9,12,14,15,16,17,18,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,37,28,12,100,46,65,78,70,72,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,8,100,2,13,38,52,12,20,24,{1,3,4,5,6,9,10,11,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,5,58,100,28,29,20,30,11,35,{1,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,71,70,73,3,2,15,10,29,21,{1,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,19,12,79,31,1,10,22,16,50,{2,3,4,5,6,7,8,9,11,13,14,15,17,18,20,21,23,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,36,24,5,2,45,44,30,7,64,{1,3,4,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,1,2,12,100,47,22,29,64,{3,5,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,1,100,2,5,3,12,28,13,42,{6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,10,30,34,11,65,28,33,5,38,{1,2,3,4,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,9,7,32,11,10,50,33,97,{1,2,3,4,5,6,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 38,4,100,27,3,32,49,12,78,29,{1,2,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,13,7,34,25,100,47,50,10,68,{1,2,3,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,20,16,45,7,3,29,44,4,35,{1,2,5,6,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,32,33,34,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,100,5,24,50,26,68,55,49,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,36,9,1,100,64,25,23,4,34,{2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,10,43,15,1,45,53,30,33,28,{2,3,4,5,6,7,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,38,55,48,30,6,34,77,12,28,{1,2,3,4,5,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,22,43,10,1,17,3,4,100,83,{2,5,6,7,8,9,11,12,13,14,15,16,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,48,5,28,23,96,13,19,10,9,{1,2,3,4,6,7,8,11,14,15,16,17,18,20,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 1,3,15,100,13,10,7,23,60,25,{2,4,5,6,8,9,11,12,14,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,7,3,51,18,73,67,16,12,{1,4,5,6,8,9,10,11,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,47,14,12,60,3,36,2,62,7,{1,4,5,6,8,9,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,34,46,6,4,42,68,33,14,17,{1,2,3,5,7,8,9,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,8,47,2,4,3,5,44,28,{1,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,9,16,11,10,26,13,82,21,23,{1,2,3,4,5,6,7,8,12,15,17,18,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,13,7,24,28,55,14,31,81,97,{1,2,3,4,5,6,8,9,10,12,15,16,17,18,19,20,21,22,23,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 27,18,25,20,47,3,28,14,24,38,{1,2,4,5,6,7,8,9,10,11,12,13,15,16,17,19,21,22,23,26,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,20,55,9,15,10,14,5,77,{1,2,3,6,7,8,12,13,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,37,24,51,88,26,31,7,21,2,{1,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,25,27,28,29,30,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 91,15,2,29,48,22,9,100,31,3,{1,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 13,3,5,16,61,17,69,64,31,100,{1,2,4,6,7,8,9,10,11,12,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,84,13,77,100,12,7,56,67,29,{1,2,3,4,5,6,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,9,30,4,5,85,16,33,58,6,{1,2,3,7,8,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,61,27,25,33,28,18,68,36,4,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,29,32,19,38,21,23,28,8,34,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,20,22,24,25,26,27,30,31,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,9,11,22,36,8,33,7,30,40,{1,2,3,4,5,6,10,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,31,32,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,18,46,59,9,41,100,12,7,40,{1,2,3,4,6,8,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,16,26,36,17,12,33,11,21,54,{1,2,3,4,5,7,8,9,10,13,14,15,18,19,20,22,23,24,25,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,64,7,63,35,32,24,66,91,14,{1,2,3,4,5,6,8,9,10,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 11,96,25,1,14,93,4,63,6,34,{2,3,5,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,97,98,99,100}
1: 9,100,20,2,31,16,5,14,56,40,{1,3,4,6,7,8,10,11,12,13,15,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,73,13,10,56,25,16,82,44,{1,3,4,5,6,7,9,11,12,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,1,21,18,34,39,6,12,66,{2,4,7,8,9,10,11,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,27,7,14,55,67,29,9,59,3,{1,2,4,5,6,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,5,31,24,22,90,6,45,60,8,{1,2,3,4,7,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 19,7,53,29,50,21,25,48,20,9,{1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,91,28,52,26,7,17,38,10,32,{1,2,3,4,5,6,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 15,18,21,23,22,32,17,70,28,29,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,19,20,24,25,26,27,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,38,12,10,31,39,25,41,55,17,{1,2,3,4,5,6,7,8,9,11,13,14,15,16,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,7,11,100,24,57,13,46,14,{1,2,3,5,6,8,9,10,12,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,6,2,39,12,66,5,28,10,4,{1,3,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,19,100,43,9,16,48,21,32,63,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 64,13,45,50,15,9,22,33,24,75,{1,2,3,4,5,6,7,8,10,11,12,14,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,3,7,70,23,15,78,24,25,1,{2,4,5,6,8,10,11,12,13,14,16,17,18,19,20,21,22,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,49,71,10,22,75,6,1,7,{3,4,5,8,9,11,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,25,23,3,48,2,8,61,44,16,{1,4,5,6,7,9,10,11,13,14,15,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,38,72,1,15,18,17,34,100,36,{2,3,4,5,7,8,9,10,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,26,43,7,6,1,4,39,63,5,{2,3,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,11,19,3,18,1,92,37,7,29,{2,4,5,8,9,10,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 37,6,20,10,38,3,5,30,54,7,{1,2,4,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,9,1,77,16,14,31,20,24,4,{2,3,5,6,7,8,10,11,12,13,15,17,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,33,20,2,9,75,5,1,65,81,{4,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,13,19,8,11,22,100,5,17,{1,2,3,4,7,10,12,14,15,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,23,58,37,16,3,2,30,24,68,{1,4,5,6,7,8,9,10,11,12,13,14,15,17,19,20,21,22,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,15,7,28,16,5,60,13,11,18,{1,2,3,4,6,8,9,10,12,14,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 67,46,44,6,22,10,5,17,33,38,{1,2,3,4,7,8,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,27,59,9,30,6,4,7,29,97,{1,2,3,5,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 15,5,100,30,32,34,23,12,24,17,{1,2,3,4,6,7,8,9,10,11,13,14,16,18,19,20,21,22,25,26,27,28,29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,15,35,1,72,9,16,3,23,39,{2,5,6,7,8,10,11,12,13,14,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,23,21,14,6,3,50,33,56,7,{1,2,4,5,8,9,10,11,12,13,15,16,17,18,20,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,14,36,7,40,62,39,55,11,{1,2,3,5,6,8,9,10,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,40,34,1,41,47,9,13,14,4,{3,5,6,7,8,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,4,41,100,36,1,73,9,17,62,{2,3,5,6,7,8,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,9,85,11,2,21,15,13,18,33,{1,3,4,5,6,7,8,10,12,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,100,29,23,42,50,59,10,39,75,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,4,1,39,46,77,10,28,64,53,{2,3,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,3,5,100,31,21,66,17,60,{1,2,4,6,7,9,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,3,8,50,72,29,96,68,42,28,{1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 10,7,76,5,12,16,35,68,56,37,{1,2,3,4,6,8,9,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,24,54,32,18,37,20,11,19,13,{1,2,3,4,5,6,7,8,9,10,12,14,15,16,17,21,22,23,25,26,27,28,29,30,31,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,33,4,8,16,7,6,15,34,37,{1,2,3,5,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,34,100,25,10,2,28,26,29,56,{1,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,17,4,57,5,1,61,37,75,15,{2,3,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,22,36,30,57,35,7,1,97,54,{2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,37,9,15,60,12,5,3,28,24,{1,2,6,7,8,10,11,13,14,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,8,2,16,20,96,72,31,23,{1,3,4,5,7,10,11,12,13,14,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 2,3,11,20,12,17,1,19,8,6,{4,5,7,9,10,13,14,15,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,2,55,26,48,11,41,54,7,14,{1,3,4,5,6,8,9,10,12,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,5,10,28,13,21,7,16,15,2,{1,3,4,6,8,9,11,12,14,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,49,31,21,9,39,16,24,17,97,{2,3,4,5,6,7,8,10,11,12,13,14,15,18,19,20,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 22,73,100,17,53,25,13,3,10,24,{1,2,4,5,6,7,8,9,11,12,14,15,16,18,19,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 58,3,12,7,30,4,16,55,39,52,{1,2,5,6,8,9,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,43,2,22,10,77,38,6,24,59,{1,3,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,22,1,41,30,26,4,48,12,28,{2,3,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,23,24,25,27,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,19,24,27,13,15,12,23,18,{1,3,4,5,7,8,9,10,11,14,16,17,20,21,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,79,6,12,7,21,60,25,100,32,{1,2,3,4,5,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,57,1,37,5,29,39,23,53,59,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,32,11,82,1,4,3,28,12,33,{2,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,1,25,2,14,3,33,56,81,{5,6,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,88,20,10,99,12,49,94,4,17,{1,2,3,5,6,7,8,9,11,13,14,15,16,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,95,96,97,98,100}
1: 19,15,14,17,9,1,79,29,16,52,{2,3,4,5,6,7,8,10,11,12,13,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,25,55,57,15,26,22,67,63,56,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,58,59,60,61,62,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,13,19,6,10,30,31,80,12,42,{1,2,3,4,5,7,8,9,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,23,12,35,76,2,24,9,14,{1,3,4,5,6,7,8,10,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,14,28,34,100,21,18,67,1,17,{2,3,4,5,6,7,8,9,10,11,12,15,16,19,20,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,47,15,27,13,12,9,16,2,7,{1,3,4,5,6,10,11,14,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,35,31,36,24,16,47,7,19,8,{1,3,4,5,6,9,10,11,12,13,14,15,17,18,20,21,22,23,25,26,27,28,29,30,32,33,34,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,5,9,8,16,25,11,1,69,4,{2,3,6,7,10,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,11,27,9,51,26,24,1,64,{2,3,4,5,7,8,10,12,14,15,16,17,18,19,20,21,22,23,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,19,27,61,18,2,10,16,17,29,{1,3,4,5,6,7,8,9,11,12,13,14,15,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,100,8,13,33,7,20,17,18,{1,2,3,4,5,6,10,12,14,15,16,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,7,24,9,26,41,13,50,22,59,{1,2,3,4,5,6,8,10,12,14,15,16,17,18,19,20,21,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,46,6,7,24,100,23,3,44,40,{1,2,4,5,8,9,10,11,12,13,14,15,16,17,18,19,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,42,44,30,47,45,12,20,17,1,{2,3,4,5,6,7,8,10,11,13,14,15,16,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,100,5,22,30,10,12,25,62,29,{1,2,3,4,6,7,8,9,11,14,15,16,17,18,19,20,21,23,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,5,19,61,15,21,4,2,12,17,{1,3,6,8,9,10,11,13,14,16,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,31,11,95,80,33,23,17,4,9,{1,2,3,5,6,7,8,10,12,13,14,15,18,19,20,21,22,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 32,27,8,5,75,43,65,30,7,4,{1,2,3,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,5,11,59,16,23,32,40,48,{1,2,3,4,6,7,8,9,10,12,14,15,17,18,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,37,5,47,14,30,4,42,17,{1,2,3,6,7,8,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,34,41,20,14,30,1,13,49,42,{2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,56,5,21,42,34,47,2,14,{1,3,4,6,7,8,10,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,38,11,20,21,24,22,17,30,42,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,19,23,25,26,27,28,29,31,32,33,34,35,36,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,6,96,10,9,31,73,44,30,32,{1,2,3,4,5,7,8,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 6,19,2,76,35,55,28,21,59,17,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,18,20,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,1,35,16,26,23,59,40,5,17,{2,3,4,6,7,8,10,11,12,13,14,15,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,13,20,6,25,17,49,86,4,38,{1,2,3,5,7,8,9,11,12,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,3,20,1,68,18,23,52,70,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,10,14,22,48,4,30,19,3,5,{1,2,6,7,8,9,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,17,22,26,7,89,32,18,63,19,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,20,21,23,24,25,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 62,10,3,18,26,16,39,70,7,78,{1,2,4,5,6,8,9,11,12,13,14,15,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,100,16,28,12,14,63,17,18,29,{1,2,3,4,5,6,7,8,9,10,11,15,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,41,100,7,14,5,3,1,13,34,{2,4,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 43,37,31,27,11,16,18,39,17,35,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,19,20,21,22,23,24,25,26,28,29,30,32,33,34,36,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,47,39,20,35,7,59,32,26,18,{1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,21,22,23,24,25,27,28,29,30,31,33,34,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,61,100,5,3,45,4,98,6,92,{1,2,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,99}
1: 29,72,24,26,78,4,15,6,67,22,{1,2,3,5,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,26,61,27,1,24,15,99,50,{4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,19,44,6,54,13,1,16,41,10,{2,3,4,5,7,9,11,12,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,47,12,1,41,9,29,7,38,13,{2,3,4,5,6,8,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,50,70,16,17,12,9,40,68,30,{1,2,3,4,5,6,7,8,10,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,2,6,16,20,29,51,35,59,9,{1,3,4,5,7,8,10,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,27,11,2,100,5,12,55,29,43,{1,3,4,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,3,5,30,14,17,23,1,57,36,{2,4,6,7,9,10,11,12,13,15,16,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,26,10,12,19,8,49,31,6,56,{1,2,3,4,5,7,9,11,13,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,9,2,8,47,21,17,51,1,4,{3,5,7,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,10,75,1,17,13,32,43,16,{3,4,5,6,7,8,9,11,12,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,21,1,26,19,11,74,50,53,{2,3,4,5,6,7,8,12,13,14,15,16,17,18,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,2,23,38,4,100,50,40,10,24,{1,3,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,8,2,18,15,33,37,3,14,78,{1,5,6,7,9,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,7,3,26,5,10,6,13,22,40,{1,4,8,9,11,12,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,51,11,41,5,21,29,47,78,100,{1,2,3,4,6,7,8,9,10,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,2,13,27,55,42,32,4,3,48,{1,5,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,30,36,100,35,2,5,13,65,25,{1,3,4,6,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,45,8,7,11,2,41,1,6,98,{3,5,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 4,6,8,11,9,10,7,64,83,40,{1,2,3,5,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,3,95,20,7,47,8,53,50,23,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,19,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 31,2,36,48,9,22,1,10,25,51,{3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,18,14,36,11,4,12,23,97,{1,2,5,6,7,8,9,10,13,15,16,17,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 1,54,13,27,11,4,6,5,29,70,{2,3,7,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,14,10,23,5,15,39,21,6,13,{1,2,3,4,7,8,9,11,12,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,4,32,13,11,9,5,17,42,36,{1,2,3,6,7,8,10,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,10,7,14,5,39,13,36,57,{1,2,3,6,8,9,11,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,37,100,40,18,30,36,4,50,78,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,100,44,3,8,28,33,14,4,20,{1,2,5,6,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,20,65,5,21,17,60,14,39,{1,2,3,4,6,7,8,10,12,13,15,16,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,100,3,62,50,58,54,17,24,{1,4,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,1,48,3,5,24,39,40,16,28,{2,4,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,100,23,30,1,14,22,99,3,{2,4,5,6,7,9,10,11,12,13,15,16,17,18,20,21,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 4,10,11,27,3,25,31,100,61,97,{1,2,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 8,21,11,7,14,9,17,12,52,92,{1,2,3,4,5,6,10,13,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 8,3,10,49,7,15,29,32,18,4,{1,2,5,6,9,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,6,3,31,42,23,55,12,68,{1,2,4,5,7,9,11,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,41,15,2,70,100,67,16,49,5,{3,4,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,14,11,4,100,2,13,19,8,39,{1,3,5,6,7,9,10,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,10,18,44,5,3,20,7,17,30,{1,4,6,8,9,11,12,13,14,15,16,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,60,5,10,17,51,12,33,24,{1,2,3,6,7,8,9,11,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,1,7,3,15,13,20,24,94,{4,5,6,8,9,10,11,12,14,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 13,11,12,32,21,46,5,28,16,30,{1,2,3,4,6,7,8,9,10,14,15,17,18,19,20,22,23,24,25,26,27,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,12,40,22,16,57,44,17,6,{1,2,4,7,8,9,10,11,13,14,15,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,60,7,8,58,10,14,24,31,34,{2,3,4,5,6,9,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,47,38,43,100,3,80,59,36,12,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 43,3,37,22,9,41,1,66,89,4,{2,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 35,51,5,7,20,45,14,56,1,28,{2,3,4,6,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,26,5,18,28,25,51,78,15,32,{1,2,3,4,6,7,8,9,11,12,13,14,16,17,19,20,21,22,23,24,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,32,5,16,41,10,25,47,39,33,{1,2,3,4,6,7,8,9,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,34,35,36,37,38,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,100,23,7,17,26,22,62,89,35,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,24,25,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 9,10,45,13,14,19,8,28,76,4,{1,2,3,5,6,7,11,12,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,4,71,31,5,14,23,90,29,12,{1,2,3,6,7,8,9,10,11,13,16,17,18,19,20,21,22,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 10,12,4,36,6,3,37,58,59,32,{1,2,5,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,15,7,71,11,27,28,33,17,48,{1,2,3,4,5,6,8,9,10,12,13,14,16,18,19,20,21,22,23,24,25,26,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,6,45,7,34,19,49,18,25,37,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,21,22,23,24,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,11,5,7,22,47,9,15,52,87,{1,2,3,4,6,8,10,12,13,14,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,7,27,17,20,23,48,29,97,{1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,19,21,22,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 3,8,2,20,4,1,22,17,35,42,{5,6,7,9,10,11,12,13,14,15,16,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,3,20,8,53,31,13,39,35,18,{1,2,4,5,6,7,9,11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,79,35,9,5,20,33,55,29,{1,2,3,6,7,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,7,60,50,20,17,14,28,24,{1,3,4,5,6,8,9,10,11,12,13,15,16,18,19,21,22,23,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,21,15,22,5,39,7,33,77,{1,2,3,4,6,8,9,10,11,12,13,14,16,17,18,20,23,24,25,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,47,21,35,3,12,1,15,32,30,{2,4,5,6,7,8,9,10,11,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,31,33,34,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,26,100,41,22,12,59,70,78,{1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,36,33,30,3,100,58,53,82,{1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,37,36,8,26,5,14,9,41,17,{1,2,3,4,6,7,10,12,13,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,7,10,14,9,4,100,5,36,{3,6,8,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,24,100,2,5,46,15,64,32,54,{1,3,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,1,29,21,25,40,14,17,33,{3,4,5,6,7,8,9,10,11,12,13,15,16,18,20,22,23,24,26,27,28,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,57,13,25,40,6,50,9,19,{1,2,4,7,8,10,11,12,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,15,34,20,79,67,2,100,5,29,{1,3,4,6,7,8,9,10,11,12,13,14,16,17,19,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 51,6,7,2,15,29,17,3,41,34,{1,4,5,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,10,48,11,34,32,63,5,14,40,{2,3,4,6,7,8,9,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,4,8,35,2,7,5,39,24,1,{3,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,6,32,3,100,74,14,82,45,{2,4,5,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,61,18,4,26,21,17,7,14,22,{1,2,3,5,6,8,9,10,11,12,15,16,19,20,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,6,34,10,5,66,22,30,42,92,{1,2,3,4,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 11,20,1,100,53,36,17,25,75,78,{2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,11,37,53,3,9,64,42,24,7,{1,2,4,5,6,8,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,27,14,100,17,4,6,45,78,{1,2,3,5,7,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,21,10,35,42,88,85,46,30,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,25,66,24,20,27,23,60,30,48,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,100,1,40,22,25,14,23,54,32,{2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,24,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,13,18,6,5,11,7,22,25,84,{1,2,3,4,8,9,10,14,15,16,17,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,28,9,34,32,46,69,12,14,17,{1,2,4,5,6,7,8,10,11,13,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,1,36,3,19,28,65,2,30,18,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,21,23,24,25,26,27,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,65,47,16,100,11,33,40,60,{1,2,3,4,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,57,8,21,33,47,42,16,55,24,{1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,100,20,27,74,1,17,30,24,7,{2,3,4,5,6,8,9,10,12,13,14,15,16,18,19,21,22,23,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,61,36,15,25,12,39,52,3,44,{1,2,4,5,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,26,64,1,6,25,5,87,14,{3,4,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,40,49,21,36,3,16,1,14,66,{2,4,5,6,7,8,10,11,12,13,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,6,49,8,63,14,52,66,38,7,{1,2,3,4,5,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,10,12,14,58,39,54,11,91,5,{1,2,3,4,6,7,8,9,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 11,7,29,37,9,1,16,39,14,55,{2,3,4,5,6,8,10,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,42,11,17,12,45,27,18,13,{2,3,4,5,6,7,9,10,14,15,16,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,16,18,34,100,3,7,33,15,{1,2,4,5,8,9,11,12,13,14,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,6,10,8,22,3,12,23,11,9,{1,2,4,5,7,13,14,15,16,17,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,39,46,14,56,15,10,35,16,44,{1,2,4,5,6,7,8,9,11,12,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,7,40,3,25,10,9,35,6,19,{1,2,4,5,8,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,53,13,21,10,20,28,25,73,99,{1,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 10,18,1,26,8,19,11,27,13,97,{2,3,4,5,6,7,9,12,14,15,16,17,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,9,6,15,57,22,42,5,1,17,{2,3,4,7,8,10,11,12,13,14,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,47,100,12,51,11,3,38,46,{1,2,4,5,7,8,9,10,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,100,33,16,70,76,3,45,1,68,{2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,5,10,1,26,36,6,41,12,62,{2,4,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 93,38,11,60,45,65,48,44,37,19,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 100,4,35,5,3,37,33,36,23,18,{1,2,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,34,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,11,10,3,18,40,91,14,35,{1,4,5,6,7,9,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,25,15,10,9,8,2,6,7,80,{1,3,5,11,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,34,1,38,17,52,33,31,6,37,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,38,45,17,34,21,65,41,2,64,{1,3,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,34,3,30,15,98,53,50,60,{1,2,4,5,6,7,8,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 6,4,53,13,5,34,21,59,42,93,{1,2,3,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 100,2,26,50,88,14,3,5,24,17,{1,4,6,7,8,9,10,11,12,13,15,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 27,21,46,32,14,5,69,100,4,6,{1,2,3,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,72,8,25,53,7,3,11,65,90,{1,4,5,6,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 14,59,53,100,7,38,24,39,17,60,{1,2,3,4,5,6,8,9,10,11,12,13,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,39,79,37,13,4,10,82,35,25,{1,2,3,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,11,19,17,12,30,7,6,16,25,{1,2,3,4,5,8,9,10,13,15,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,7,26,55,3,30,10,89,28,66,{1,2,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 7,1,16,15,22,8,18,27,24,17,{2,3,4,5,6,9,10,11,12,13,14,19,20,21,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,18,21,10,9,16,3,11,42,45,{1,2,4,5,6,7,8,12,13,14,15,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,15,5,7,82,21,51,63,12,59,{1,2,4,6,8,9,10,11,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,18,1,4,7,46,49,64,28,{3,5,6,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,3,5,29,7,52,12,44,4,16,{1,2,6,8,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,62,24,2,4,72,23,44,20,9,{1,3,5,6,7,8,10,11,12,13,14,15,16,17,18,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,21,70,22,9,3,64,32,10,35,{1,2,4,5,6,7,8,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,8,11,43,1,34,13,12,50,42,{2,3,4,5,6,7,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,12,30,5,1,31,34,37,17,51,{2,3,4,6,7,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,15,12,36,28,14,65,34,21,{1,3,4,5,6,7,8,9,10,11,13,16,17,18,20,22,23,24,25,26,27,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,4,21,17,37,9,16,50,74,5,{2,3,6,7,8,10,11,12,13,14,15,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,38,16,12,28,18,49,46,36,{1,2,3,4,5,7,8,10,11,13,14,15,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,50,22,13,65,16,69,32,24,29,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,17,18,20,21,23,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,11,3,29,57,73,14,24,1,{2,4,5,6,7,9,10,12,13,15,16,17,18,19,20,21,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,4,11,12,52,17,16,40,45,2,{1,3,5,6,7,8,9,10,13,14,15,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,15,100,22,10,38,1,84,17,{2,3,4,5,7,9,11,12,13,14,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,37,22,5,2,3,14,12,8,27,{1,4,6,7,9,10,11,13,15,16,17,18,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,40,3,41,8,14,18,46,27,64,{1,2,4,5,6,7,9,10,11,12,13,15,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,18,22,20,11,9,27,50,72,6,{1,2,3,4,5,7,8,10,12,13,14,15,16,17,19,21,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,20,13,69,10,56,59,67,3,22,{1,2,4,5,6,7,9,11,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,37,16,53,10,22,5,59,30,24,{1,2,3,4,6,7,8,9,11,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,45,13,24,12,28,63,39,18,{2,3,4,5,6,7,8,9,10,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,3,1,7,26,8,18,55,34,44,{2,4,5,6,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,34,96,12,3,75,5,33,26,7,{1,2,4,6,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 6,28,11,25,14,38,26,32,29,30,{1,2,3,4,5,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,24,27,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,62,2,11,13,15,56,26,21,68,{1,3,4,5,6,7,8,9,10,12,14,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,21,3,74,14,9,17,7,5,16,{1,2,4,6,8,10,11,12,13,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,25,20,35,88,17,59,8,13,{1,2,3,4,5,7,10,11,12,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,15,11,21,32,2,23,49,7,{1,3,4,5,9,10,12,13,14,16,17,18,19,20,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,3,43,11,10,24,7,85,32,49,{1,2,4,5,6,8,9,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,100,10,5,28,51,4,6,35,{1,3,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,22,15,17,1,34,18,26,38,60,{2,3,4,5,6,7,8,9,10,11,12,13,14,16,19,20,21,23,24,25,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,100,3,19,16,21,66,33,49,{1,2,4,5,7,9,10,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,18,54,23,7,31,22,60,10,30,{1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,19,20,21,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,39,46,36,61,72,100,81,30,14,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,6,3,5,7,49,44,72,21,32,{1,2,4,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,18,100,65,52,58,3,13,61,{2,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,25,20,4,2,50,100,12,24,43,{1,3,5,6,7,8,9,10,11,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,14,15,1,57,11,71,3,27,41,{2,4,5,6,7,8,9,10,12,13,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,11,12,27,44,25,16,49,3,2,{1,4,5,6,7,8,9,10,13,14,15,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,8,26,16,20,61,22,97,7,39,{1,2,3,4,5,6,9,10,11,12,13,14,15,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 1,15,21,12,53,47,14,17,58,71,{2,3,4,5,6,7,8,9,10,11,13,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,26,1,9,68,97,24,78,85,{2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 53,9,3,5,18,1,39,33,7,16,{2,4,6,8,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,22,11,15,21,35,17,62,7,12,{1,2,3,4,5,6,8,9,10,13,14,16,18,20,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,15,11,1,100,30,17,28,48,{2,3,4,5,6,7,9,10,12,14,16,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,42,4,6,36,13,33,23,12,15,{1,2,3,5,7,9,10,11,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 62,2,16,87,50,8,4,28,33,7,{1,3,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,3,21,100,59,51,87,19,27,28,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,2,18,21,26,5,3,27,7,22,{1,4,8,9,10,11,12,13,14,15,16,17,19,20,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,8,13,6,5,17,100,39,14,7,{1,2,3,4,9,10,11,12,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,29,36,13,7,46,15,26,12,30,{1,2,3,4,5,6,9,10,11,14,16,17,18,19,20,21,22,23,24,25,27,28,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,10,8,9,20,14,31,30,44,25,{1,2,3,4,5,6,7,12,13,15,16,17,18,19,21,22,23,24,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,13,11,3,39,38,24,66,52,{1,2,4,5,6,7,10,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,36,10,9,35,17,37,46,31,{1,2,3,4,5,6,7,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,1,8,13,41,46,19,10,30,18,{2,3,4,5,6,7,9,11,12,14,15,16,17,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,22,5,24,7,2,30,16,6,17,{1,3,4,8,9,10,11,12,13,14,15,18,19,20,21,23,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,13,25,19,26,8,9,46,11,59,{2,3,4,5,6,7,10,12,14,15,16,17,18,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,2,11,25,10,16,5,7,50,{1,4,6,8,9,12,13,14,15,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,20,10,17,73,33,59,51,4,{2,3,5,6,7,8,9,11,12,13,14,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,35,77,28,27,7,13,31,42,32,{1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,29,30,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,47,100,20,75,24,5,42,17,4,{1,2,3,6,7,9,10,11,12,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,71,19,2,9,45,27,23,36,17,{1,3,5,6,7,8,10,11,12,13,14,15,16,18,20,21,22,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,37,23,80,21,74,40,17,46,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,24,25,26,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,22,10,3,18,23,5,32,1,51,{2,4,6,7,8,9,11,12,13,14,16,17,19,20,21,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,18,47,57,5,11,46,6,72,4,{1,2,3,7,8,9,10,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,57,4,8,16,33,25,5,29,59,{1,2,3,6,7,9,10,11,12,13,14,15,17,18,19,20,22,23,24,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,37,20,2,32,79,100,33,40,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,61,23,9,15,43,60,29,11,35,{1,2,3,4,5,7,8,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,37,2,8,1,88,26,14,69,{3,4,5,6,7,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 14,5,24,11,2,26,79,9,43,73,{1,3,4,6,7,8,10,12,13,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,19,4,3,100,28,20,14,29,16,{1,2,5,6,7,8,9,10,11,12,13,15,17,18,21,22,23,24,25,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,13,1,2,7,92,8,28,93,38,{3,4,5,6,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,94,95,96,97,98,99,100}
1: 4,9,100,38,10,18,23,30,31,16,{1,2,3,5,6,7,8,11,12,13,14,15,17,19,20,21,22,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,26,5,76,1,32,14,62,12,28,{2,3,4,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,8,22,5,50,16,25,45,13,{1,2,3,4,6,7,10,11,12,14,15,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,17,48,14,22,56,15,40,16,1,{2,3,4,5,6,7,8,9,10,11,12,13,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,31,60,21,8,24,6,12,17,76,{1,2,3,4,5,7,9,10,11,13,14,15,16,18,19,20,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 72,48,37,26,19,4,63,9,1,13,{2,3,5,6,7,8,10,11,12,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,37,21,3,5,63,51,17,30,18,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,19,20,22,23,24,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,8,28,15,66,25,88,7,23,13,{1,2,3,4,5,6,9,10,11,12,14,16,17,18,19,20,21,22,24,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,100,45,44,8,12,2,18,7,13,{1,3,4,6,9,10,11,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,22,100,20,1,78,49,10,89,{3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 12,47,9,16,64,20,50,35,5,48,{1,2,3,4,6,7,8,10,11,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,37,10,27,22,29,12,30,93,{1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,20,21,23,24,25,26,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 9,6,1,62,10,20,4,43,100,49,{2,3,5,7,8,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,19,54,2,21,36,33,53,30,50,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,8,1,3,36,60,23,32,29,18,{2,4,5,6,7,9,10,11,12,13,14,16,17,19,20,21,22,24,25,26,27,28,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,32,26,14,12,90,3,63,33,{1,2,4,5,6,7,8,9,10,13,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 23,100,15,19,8,95,10,60,5,3,{1,2,4,6,7,9,11,12,13,14,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 19,20,41,9,21,3,75,37,16,23,{1,2,4,5,6,7,8,10,11,12,13,14,15,17,18,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,100,74,13,54,80,27,42,12,{1,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,22,63,11,18,48,4,30,36,3,{2,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,34,14,18,23,5,29,7,33,79,{1,2,3,4,6,8,9,10,11,12,13,15,16,17,19,20,21,24,25,26,27,28,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,100,30,24,1,41,12,55,11,97,{2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 6,20,29,5,11,7,15,71,63,77,{1,2,3,4,8,9,10,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,100,27,8,20,24,64,2,71,{1,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,21,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,26,31,53,19,18,17,42,28,30,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,20,21,22,23,24,25,27,29,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,9,34,46,1,42,24,29,71,10,{2,3,4,5,6,7,8,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,1,11,30,24,23,40,12,52,{3,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,15,20,6,54,31,18,40,66,33,{1,2,3,4,5,7,8,9,10,11,12,13,16,17,19,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,22,16,25,43,6,20,32,82,30,{1,2,3,5,7,8,9,10,11,12,13,14,15,17,18,19,21,23,24,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,11,19,1,3,7,27,15,10,22,{2,4,5,6,8,9,12,13,14,16,17,18,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,3,45,26,20,23,44,30,77,{1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,10,4,51,30,16,12,6,77,86,{1,3,5,7,8,9,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,31,10,100,24,28,48,69,16,7,{1,2,3,5,6,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,31,15,100,27,1,10,63,38,60,{2,3,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,27,39,2,23,14,35,51,16,29,{1,3,4,5,6,7,8,9,10,11,12,15,17,18,19,20,21,22,24,25,26,28,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,3,14,10,61,15,6,45,2,55,{1,4,7,8,9,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,20,4,34,52,41,25,93,17,{1,2,3,5,6,7,9,10,11,12,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 8,22,100,38,41,1,69,61,11,42,{2,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,20,81,18,6,12,100,75,21,16,{1,2,3,4,5,7,8,9,10,11,14,15,17,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,100,10,47,79,33,7,21,49,5,{1,2,3,4,6,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,20,9,31,34,11,91,48,65,14,{2,3,4,5,6,7,8,10,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 19,61,18,10,56,12,17,66,68,24,{1,2,3,4,5,6,7,8,9,11,13,14,15,16,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,62,63,64,65,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,27,4,9,33,20,10,90,64,40,{1,2,3,5,6,7,8,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 14,8,2,15,25,11,7,3,61,100,{1,4,5,6,9,10,12,13,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,21,6,2,16,10,14,59,45,100,{1,3,4,5,7,8,9,12,13,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,10,18,6,14,16,43,48,26,17,{1,2,3,4,5,7,8,9,11,12,13,15,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,36,23,9,100,44,10,68,12,{1,2,3,4,5,6,7,8,11,13,14,15,16,17,18,20,21,22,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,4,40,37,47,5,2,99,20,13,{3,6,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 26,10,4,44,11,13,27,33,23,64,{1,2,3,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,24,25,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,42,19,11,7,22,10,33,12,75,{1,2,3,4,5,8,9,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 72,50,100,23,41,35,29,26,19,4,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,27,28,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,100,2,3,5,45,10,17,48,63,{1,4,6,7,8,9,11,12,13,14,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,35,5,6,9,24,43,40,29,16,{1,2,3,4,7,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,39,10,12,22,2,17,77,51,7,{1,3,5,6,8,9,11,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,23,34,5,18,24,37,29,17,16,{2,3,4,6,7,8,9,10,11,12,13,14,15,19,20,21,22,25,26,27,28,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,11,10,14,26,5,29,40,3,{1,2,6,7,9,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,3,33,28,39,51,5,45,23,{1,2,4,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,29,30,31,32,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,6,22,15,48,100,21,39,3,10,{1,2,4,5,7,8,9,11,12,13,14,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,36,57,11,30,1,28,26,29,74,{2,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,24,33,12,10,25,3,29,7,{1,2,4,5,6,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,100,4,57,61,26,21,15,27,5,{1,2,3,6,7,8,9,10,12,13,14,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,22,65,9,6,26,100,18,35,75,{1,2,3,4,5,7,8,10,11,12,13,14,15,16,17,19,20,21,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,19,32,11,33,10,5,26,20,49,{1,2,3,4,6,7,8,9,12,13,14,15,16,17,18,21,22,23,24,25,27,28,29,30,31,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,1,24,15,13,52,17,29,6,23,{2,3,4,5,7,8,9,10,11,12,14,16,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,14,85,5,11,47,18,24,7,58,{2,3,4,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,100,6,10,32,39,40,30,16,{1,3,4,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,25,100,20,4,7,12,33,29,{2,3,5,6,9,10,11,13,14,15,16,17,18,19,21,22,23,24,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,1,17,32,18,53,7,11,24,85,{2,3,4,5,6,8,9,10,12,13,14,15,16,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,7,26,3,11,1,99,66,6,4,{2,5,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 47,70,2,10,3,9,100,20,83,34,{1,4,5,6,7,8,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,21,2,12,9,26,22,36,3,48,{1,4,5,6,8,10,11,13,14,15,16,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 74,3,23,13,44,7,2,24,35,49,{1,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,18,8,19,30,33,20,2,29,45,{1,3,4,6,7,9,10,11,12,13,14,15,16,17,21,22,23,24,25,26,27,28,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,9,31,26,4,41,51,24,59,56,{1,2,3,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,26,6,43,15,14,20,80,13,{1,3,4,5,7,9,10,11,12,16,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,20,11,37,1,5,51,6,52,42,{2,3,4,7,8,9,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,100,2,11,78,12,80,68,28,86,{1,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,79,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,41,5,7,13,39,15,46,32,18,{1,2,3,4,6,8,9,10,12,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,31,11,5,8,13,20,25,1,6,{2,3,4,7,9,10,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,33,6,17,15,42,73,3,21,4,{1,2,5,7,8,9,10,11,13,14,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,11,31,43,23,12,24,7,38,{1,2,3,4,5,6,9,10,13,14,15,16,17,18,19,20,21,22,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,13,27,94,25,8,11,53,47,24,{1,2,3,4,5,6,7,9,10,12,14,15,16,17,18,19,20,21,22,23,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 61,11,5,29,52,27,34,28,21,35,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,25,26,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,41,2,9,72,22,100,5,62,48,{1,3,4,6,7,8,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,30,100,56,5,24,26,2,1,13,{3,4,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,20,36,1,9,46,17,10,16,93,{2,3,4,5,6,7,8,11,12,13,14,15,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 47,4,16,51,100,5,87,33,52,11,{1,2,3,6,7,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,4,41,9,53,12,21,11,5,56,{1,2,3,6,7,8,10,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,12,14,2,27,30,39,22,19,6,{1,3,5,7,8,9,10,11,13,15,16,17,18,20,21,23,24,25,26,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,37,16,12,14,23,17,39,18,9,{1,2,3,4,5,6,8,10,11,13,15,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,2,26,5,79,30,45,12,68,33,{1,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,20,15,34,79,51,24,1,28,4,{2,3,5,6,7,9,10,11,12,13,14,16,17,18,19,21,22,23,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,2,10,100,53,27,6,60,39,{1,3,4,5,7,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,18,96,9,3,30,23,57,16,51,{1,2,4,5,6,7,8,10,11,12,13,14,17,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 7,38,2,75,17,25,63,8,29,51,{1,3,4,5,6,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,3,5,11,96,46,29,35,12,23,{1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 15,9,41,6,20,21,23,13,18,33,{1,2,3,4,5,7,8,10,11,12,14,16,17,19,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,8,19,12,4,79,100,13,30,16,{1,2,3,5,6,7,9,10,11,15,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,15,1,73,28,17,18,31,68,43,{2,3,4,5,6,7,8,9,10,11,12,13,14,16,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,4,2,21,6,13,100,27,24,{3,5,7,8,9,10,11,12,14,15,16,17,18,20,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,6,21,22,9,23,39,28,24,4,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,18,19,20,25,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,53,25,2,85,7,48,12,43,30,{1,3,4,5,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,53,47,26,34,79,29,22,16,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,20,21,23,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,8,21,3,62,16,34,28,24,12,{1,2,4,5,6,7,9,10,11,13,14,15,17,18,19,20,22,23,25,26,27,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,37,22,25,15,64,40,20,24,28,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,21,23,26,27,29,30,31,32,33,34,35,36,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,66,14,26,53,48,56,30,32,59,{2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,54,55,57,58,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,38,3,14,1,21,51,8,6,{2,4,5,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,100,7,48,10,3,5,21,1,2,{4,6,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,53,15,11,1,27,83,47,16,32,{2,3,4,5,6,7,8,9,10,12,13,14,17,18,19,20,21,22,23,24,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,47,35,8,9,26,7,55,66,39,{1,2,3,4,5,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,31,7,30,71,26,43,14,57,40,{2,3,4,5,6,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,37,58,47,45,8,25,19,20,64,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,26,8,22,46,49,6,24,9,38,{1,2,3,4,5,7,10,11,12,13,14,15,16,18,19,20,21,23,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,43,95,30,50,75,16,26,33,{1,2,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 7,16,37,14,51,1,41,23,33,28,{2,3,4,5,6,8,9,10,11,12,13,15,17,18,19,20,21,22,24,25,26,27,29,30,31,32,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,27,25,100,1,93,10,7,75,{3,4,5,6,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 1,24,11,52,26,36,38,46,79,49,{2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,47,48,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,25,10,27,32,17,26,9,40,{2,3,5,6,7,8,11,12,13,14,15,16,18,19,20,21,22,23,24,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,10,5,100,8,37,34,16,17,12,{1,2,3,6,7,9,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,100,27,18,10,15,24,34,56,{1,2,3,4,5,6,7,9,11,12,13,14,16,17,20,21,22,23,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 57,12,5,43,7,30,73,31,23,18,{1,2,3,4,6,8,9,10,11,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,15,31,23,16,7,45,43,60,29,{1,2,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,22,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,10,100,25,47,23,39,35,38,94,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,36,37,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 8,27,1,6,35,22,11,3,12,5,{2,4,7,9,10,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,18,3,7,29,100,38,16,33,15,{1,2,4,5,6,8,9,10,12,13,14,17,19,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,4,10,3,9,5,7,32,23,31,{1,2,6,8,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,22,100,27,7,23,21,3,4,{1,2,5,8,10,11,12,13,14,15,16,17,18,19,20,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,10,21,6,38,8,35,2,56,45,{1,3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,2,22,6,46,35,24,83,64,{1,3,4,5,7,9,10,11,12,13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 62,31,21,8,71,82,3,4,12,16,{1,2,5,6,7,9,10,11,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,30,1,4,5,7,39,18,27,17,{2,3,6,8,9,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,2,26,23,34,10,24,74,38,30,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,25,27,28,29,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,1,71,25,37,7,26,42,33,{2,3,4,5,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,36,35,27,54,77,76,1,18,80,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,19,48,25,10,31,32,34,74,20,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,21,22,23,24,26,27,28,29,30,33,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,22,1,100,70,43,30,9,17,4,{2,3,5,6,7,8,10,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,36,20,6,29,40,12,49,16,62,{1,2,3,4,5,7,8,9,10,11,13,14,15,17,18,19,21,22,23,24,26,27,28,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,20,15,28,8,63,3,100,24,25,{1,2,4,5,6,7,10,11,12,13,14,16,17,18,19,21,22,23,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,31,37,6,27,100,47,14,99,92,{1,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98}
1: 39,1,22,14,12,44,72,31,30,11,{2,3,4,5,6,7,8,9,10,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,32,33,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,37,62,1,43,41,76,18,56,{2,3,4,5,6,7,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,9,100,55,29,65,33,12,1,{3,4,5,6,7,8,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,24,2,1,21,25,27,34,7,{3,5,6,8,9,10,11,12,13,15,16,17,18,19,20,22,23,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,18,3,73,100,25,31,30,17,14,{1,2,4,5,6,7,8,10,11,12,13,15,16,19,20,21,22,23,24,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,14,59,7,50,26,9,13,20,64,{1,2,3,4,5,6,10,11,12,15,16,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,20,17,23,25,87,1,27,66,74,{2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,21,22,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,8,1,34,13,40,38,42,25,{2,3,4,5,7,9,10,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,3,43,31,73,21,28,35,6,71,{1,2,4,5,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,29,30,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,4,61,35,10,20,38,7,43,{1,2,3,5,6,9,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,13,41,3,9,1,26,15,42,43,{2,4,5,6,7,8,10,11,12,14,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,4,22,5,14,39,27,32,63,52,{1,2,3,6,7,8,9,10,11,12,13,15,17,18,19,20,21,23,24,25,26,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,1,10,61,36,21,2,5,29,{3,4,6,7,9,11,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,30,34,27,32,100,11,35,24,{1,3,4,5,6,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,31,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,13,14,100,10,66,74,24,1,86,{2,3,4,5,6,7,8,9,11,12,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,20,14,34,13,5,17,7,2,49,{1,3,6,8,9,10,11,12,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,34,20,5,74,9,82,2,58,4,{1,3,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,12,26,21,100,8,19,20,59,30,{1,2,4,5,6,7,9,10,11,13,14,15,16,17,18,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,5,23,45,13,3,46,35,74,{1,2,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,26,100,23,6,33,12,24,17,35,{1,2,3,4,5,8,9,10,11,13,14,15,16,18,19,20,21,22,25,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,58,25,24,51,7,3,83,62,64,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,31,46,37,88,19,3,45,2,16,{1,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 63,18,7,32,14,66,27,97,20,39,{1,2,3,4,5,6,8,9,10,11,12,13,15,16,17,19,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,21,20,13,39,4,16,66,10,69,{1,2,3,5,6,7,8,9,11,12,14,15,17,18,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,1,23,50,16,17,33,24,64,{2,3,4,5,6,7,8,9,10,11,12,14,15,18,20,21,22,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,90,12,3,5,68,2,30,36,17,{1,4,6,7,8,9,10,11,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 100,3,10,37,28,12,56,8,40,27,{1,2,4,5,6,7,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,1,50,34,3,5,38,7,11,18,{2,4,6,8,9,10,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,3,62,12,100,20,30,5,24,{1,4,6,7,8,9,10,11,13,14,16,17,18,19,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,7,1,22,44,23,13,84,4,12,{2,3,5,6,8,9,10,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 66,8,25,35,14,12,32,29,60,16,{1,2,3,4,5,6,7,9,10,11,13,15,17,18,19,20,21,22,23,24,26,27,28,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,20,23,39,8,5,100,74,48,49,{1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,32,6,41,15,61,14,44,22,56,{2,3,4,5,7,8,9,10,11,12,13,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,50,74,10,78,3,1,13,25,23,{2,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,34,26,92,14,18,58,9,29,51,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,19,20,22,23,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 41,15,3,26,14,47,33,90,31,69,{1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 20,13,6,12,19,1,8,16,18,21,{2,3,4,5,7,9,10,11,14,15,17,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,16,49,19,1,12,51,82,40,38,{2,3,4,5,6,7,8,9,10,11,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,4,12,28,9,53,26,21,29,25,{1,2,3,5,6,7,8,10,11,13,14,15,16,17,18,19,20,22,24,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,54,10,15,33,9,17,52,40,55,{1,2,3,4,5,7,8,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,20,9,14,34,73,64,47,31,37,{2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,72,9,5,77,3,23,18,67,{4,6,7,8,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,9,79,24,61,52,42,17,18,{1,3,4,5,6,7,10,11,12,13,14,15,16,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,2,26,24,1,100,71,45,75,{3,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,7,3,4,30,5,6,42,87,{1,2,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,24,12,15,11,20,23,27,6,49,{1,2,3,4,5,7,8,9,13,14,16,17,18,19,21,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,10,84,5,14,25,30,36,66,{1,2,3,4,6,8,11,12,13,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,1,46,48,31,2,18,35,28,17,{3,4,5,6,7,8,9,10,12,13,14,15,16,19,20,21,22,23,24,25,26,27,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,13,5,10,22,25,50,24,6,{1,3,4,7,8,9,11,12,14,15,16,17,18,19,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,6,7,43,70,21,36,12,23,27,{1,2,3,4,5,8,9,11,13,14,15,16,17,18,19,20,22,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,17,1,100,5,22,7,11,9,68,{2,3,4,6,8,10,12,13,14,15,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 62,37,21,35,26,1,14,60,9,100,{2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,20,34,21,35,43,18,15,23,100,{1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,19,22,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,22,15,42,7,19,100,59,65,73,{1,2,3,4,5,6,8,9,10,11,12,13,14,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,2,3,24,5,88,100,50,17,14,{1,4,6,7,8,9,10,11,12,13,15,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 1,20,43,5,100,8,9,13,49,40,{2,3,4,6,7,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,8,7,4,17,13,32,27,23,52,{1,2,3,5,6,9,10,11,12,14,15,16,18,19,20,21,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,19,6,100,26,88,50,49,29,18,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,20,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 19,84,3,16,23,59,20,30,55,28,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,21,22,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,8,26,6,57,21,91,64,97,38,{1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,98,99,100}
1: 25,10,100,47,41,7,66,40,33,23,{1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,34,35,36,37,38,39,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,51,14,20,100,5,58,42,12,24,{1,2,3,4,6,7,8,9,10,11,13,15,16,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,22,27,72,100,5,8,82,4,18,{1,2,3,7,9,10,11,12,13,14,15,16,17,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,6,14,10,79,5,13,49,40,7,{1,2,3,4,8,9,11,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,26,5,31,9,7,34,22,4,11,{1,2,3,6,8,10,12,13,14,15,16,17,18,19,20,21,23,24,25,27,28,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,11,9,1,25,13,5,18,39,12,{2,3,4,6,7,8,10,14,15,16,17,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,29,5,2,27,46,16,21,87,{1,3,4,6,7,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,12,10,6,30,20,100,32,55,44,{1,2,3,4,5,7,8,9,11,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,76,1,10,36,20,46,14,33,17,{2,3,4,5,6,7,8,9,11,12,13,15,16,18,19,21,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,7,5,38,16,21,33,42,90,{1,2,3,4,8,9,10,11,12,13,14,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 100,26,11,1,7,8,41,35,23,85,{2,3,4,5,6,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,9,75,78,85,46,44,18,17,98,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 11,20,1,17,9,85,15,32,3,38,{2,4,5,6,7,8,10,12,13,14,16,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,22,3,87,21,39,20,33,52,81,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,41,100,47,20,29,14,21,26,28,{1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,22,23,24,25,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,21,47,26,7,22,5,24,43,29,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,20,23,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,37,21,19,3,5,11,46,17,4,{1,2,6,7,8,9,12,13,14,15,16,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,25,13,100,45,54,12,42,58,5,{1,2,3,4,6,7,8,9,10,11,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,17,7,3,24,51,8,11,21,4,{1,2,5,6,9,10,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,15,19,14,2,5,72,100,28,42,{1,3,6,7,8,9,10,11,12,13,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,100,5,24,3,99,12,77,49,97,{1,2,4,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98}
1: 53,38,75,30,39,14,15,23,5,1,{2,3,4,6,7,8,9,10,11,12,13,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,47,26,12,33,14,63,36,16,18,{1,2,3,4,5,7,8,9,10,11,13,15,17,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,4,10,22,28,2,21,45,7,17,{1,3,5,6,8,9,12,13,14,15,16,18,19,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,38,6,10,23,48,35,41,24,12,{1,3,4,5,7,8,9,11,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,36,37,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,3,6,15,55,21,42,24,95,77,{1,2,4,5,7,8,9,10,11,12,13,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 5,79,7,29,76,65,14,15,28,49,{1,2,3,4,6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 67,3,18,40,9,34,12,23,24,44,{1,2,4,5,6,7,8,10,11,13,14,15,16,17,19,20,21,22,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,47,3,65,10,32,24,30,14,1,{2,4,5,6,7,9,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,2,27,36,1,80,16,14,30,9,{3,4,5,6,8,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,64,4,9,20,3,100,48,49,17,{1,2,5,6,7,8,10,11,12,13,14,15,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,36,4,15,23,42,18,32,16,{1,2,3,5,6,7,9,10,12,13,14,17,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,31,1,29,9,100,6,20,36,{2,3,4,5,7,8,10,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,17,11,21,32,41,54,18,50,6,{2,3,4,5,7,8,9,10,12,13,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,5,72,48,47,91,19,41,15,35,{1,2,3,4,6,7,8,9,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 7,52,33,53,26,9,100,5,6,3,{1,2,4,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,36,38,10,6,3,7,5,40,16,{1,2,4,8,9,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,13,29,26,27,49,24,53,14,35,{1,2,3,4,5,6,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,29,15,32,12,85,64,14,3,{2,4,5,6,7,8,9,10,11,13,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,100,26,35,40,6,16,31,14,33,{1,2,3,4,5,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,25,27,28,29,30,32,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,7,13,27,2,39,63,23,17,32,{3,4,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,26,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,64,100,21,17,39,32,42,30,5,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,1,37,5,100,52,50,24,42,25,{2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,13,14,1,29,76,10,5,100,90,{2,3,4,6,7,8,9,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 11,13,61,25,23,77,46,9,10,4,{1,2,3,5,6,7,8,12,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,50,2,32,9,33,19,27,67,25,{1,3,4,5,6,7,8,11,12,13,14,15,16,17,18,20,21,22,23,24,26,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,34,8,1,25,76,2,40,63,55,{3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,16,5,7,23,36,14,30,12,{1,2,4,6,8,9,10,11,13,15,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,51,5,30,18,31,25,53,23,21,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,24,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,19,22,31,74,38,1,32,6,64,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,19,5,100,28,9,20,60,57,7,{1,2,3,4,6,8,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,50,16,22,10,57,36,68,14,1,{2,3,4,5,6,7,8,9,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,21,45,25,38,2,8,7,11,28,{1,3,4,5,6,9,10,12,13,14,15,16,17,18,19,20,22,23,24,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,58,21,41,24,28,6,50,7,16,{1,2,3,4,5,8,9,10,11,12,13,14,15,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,19,20,12,38,18,22,72,48,31,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,21,23,24,25,26,27,28,29,30,32,33,34,35,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,37,5,19,82,72,21,31,41,28,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,20,22,23,24,25,26,27,29,30,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,53,2,8,12,3,93,39,89,67,{1,4,5,6,7,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,94,95,96,97,98,99,100}
1: 8,4,9,25,10,14,21,5,24,3,{1,2,6,7,11,12,13,15,16,17,18,19,20,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,10,47,9,18,13,12,43,36,34,{1,2,3,4,5,6,7,8,11,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,27,2,1,99,15,26,23,12,{5,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 19,34,100,13,30,24,63,15,22,5,{1,2,3,4,6,7,8,9,10,11,12,14,16,17,18,20,21,23,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,36,25,39,37,2,93,66,100,29,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,35,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 4,1,5,10,14,94,47,85,59,36,{2,3,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 100,8,34,30,44,33,12,59,24,4,{1,2,3,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,31,32,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,11,14,9,4,3,31,13,15,72,{1,2,5,6,7,8,10,12,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,4,53,22,12,10,17,1,27,31,{2,3,5,6,7,8,9,11,13,14,15,16,18,19,20,21,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,26,94,29,10,20,77,1,22,{2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,21,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 14,24,12,32,22,6,19,18,5,3,{1,2,4,7,8,9,10,11,13,15,16,17,20,21,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,25,6,1,38,7,8,22,32,100,{2,3,4,5,9,10,11,12,13,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,44,5,16,11,19,22,6,4,7,{1,2,3,8,10,12,13,14,15,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,35,2,34,21,66,26,96,38,18,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,27,28,29,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 1,15,100,47,9,31,5,2,53,59,{3,4,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,37,3,11,23,6,38,10,1,25,{2,4,5,7,8,9,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 52,28,20,23,1,29,41,18,2,59,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,35,40,30,100,17,12,49,36,85,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,99,30,8,3,20,51,4,24,40,{1,2,5,6,7,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 26,3,64,39,96,12,14,23,57,59,{1,2,4,5,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 11,2,9,12,100,10,26,35,29,48,{1,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,54,10,11,20,24,26,19,57,23,{1,2,3,4,5,7,8,9,12,13,14,15,16,17,18,21,22,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,1,5,26,15,29,55,27,39,12,{2,3,4,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 44,7,71,11,95,25,28,1,33,97,{2,3,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,98,99,100}
1: 3,27,25,12,13,42,17,38,7,91,{1,2,4,5,6,8,9,10,11,14,15,16,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,6,100,1,34,5,14,12,78,58,{3,4,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,14,22,47,43,1,23,32,19,72,{2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,21,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,14,30,34,23,35,5,16,40,{1,3,4,7,8,9,10,11,12,13,15,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,100,4,3,51,31,33,78,38,64,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,42,20,41,88,40,87,16,7,17,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,19,26,10,91,42,1,24,38,{2,3,4,5,6,7,9,11,12,14,15,16,17,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 19,2,1,11,23,10,12,3,30,60,{4,5,6,7,8,9,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 58,5,16,86,6,4,54,18,8,19,{1,2,3,7,9,10,11,12,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,5,99,44,26,10,17,71,7,{1,3,4,6,8,9,12,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 36,15,19,11,5,39,49,1,56,60,{2,3,4,6,7,8,9,10,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,47,50,30,4,19,99,55,31,13,{1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,27,18,3,1,12,36,90,49,40,{2,4,5,6,7,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,8,62,7,30,27,11,12,5,16,{2,3,4,6,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,21,6,12,29,7,33,28,89,30,{1,2,3,4,5,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 72,2,26,19,16,5,8,17,13,18,{1,3,4,6,7,9,10,11,12,14,15,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,68,20,43,5,11,100,18,32,{1,2,3,4,6,7,9,10,12,13,14,15,16,17,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,20,4,8,51,47,9,49,48,24,{1,2,3,5,6,7,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,38,70,11,25,13,58,82,44,18,{1,2,3,4,5,6,7,8,10,12,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,24,35,41,94,9,6,46,100,17,{1,2,3,4,5,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 1,38,58,19,2,3,26,21,36,10,{4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,22,23,24,25,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 40,7,3,5,50,11,13,20,15,19,{1,2,4,6,8,9,10,12,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,32,2,8,48,20,77,65,12,14,{3,4,5,6,7,9,10,11,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,37,19,100,34,11,4,16,5,74,{2,3,6,7,8,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,26,2,31,29,84,12,21,64,42,{1,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,27,28,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,19,100,38,15,10,39,58,44,4,{1,2,3,5,6,7,8,9,11,12,13,14,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,4,30,10,16,50,17,1,12,28,{3,5,6,7,8,9,11,13,14,15,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,12,35,3,9,2,86,24,98,38,{1,4,5,6,7,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 19,3,20,14,61,65,48,88,1,25,{2,4,5,6,7,8,9,10,11,12,13,15,16,17,18,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,23,5,45,72,10,77,59,22,{1,2,4,6,7,8,9,11,12,13,14,15,16,17,18,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,71,33,18,25,27,14,3,5,16,{1,2,4,6,7,8,9,10,11,13,15,17,19,20,21,22,23,24,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,5,24,90,78,28,74,9,7,{1,3,4,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 41,27,19,24,12,21,38,51,6,60,{1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,20,22,23,25,26,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,41,37,8,20,4,14,25,3,17,{1,2,5,6,7,9,10,11,12,13,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,5,45,22,29,14,99,79,9,{2,3,4,6,7,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 10,9,5,11,42,45,22,30,15,8,{1,2,3,4,6,7,12,13,14,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,37,2,11,31,3,12,17,64,14,{1,5,6,7,8,9,10,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,15,10,47,2,9,17,34,35,49,{1,3,4,5,6,7,8,11,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,26,18,3,44,13,6,10,56,{1,2,5,7,8,9,11,12,14,15,16,17,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,13,27,18,34,21,12,7,4,16,{1,2,3,5,6,8,9,10,11,14,15,17,19,20,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,18,54,9,22,50,100,5,71,69,{1,2,3,4,6,7,8,10,11,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,27,2,37,32,26,56,85,13,4,{1,3,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,31,9,74,1,70,16,56,59,12,{2,3,4,5,6,7,8,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,22,20,3,87,100,28,7,40,{1,2,5,6,8,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,2,3,9,21,1,49,48,4,64,{5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,63,1,3,28,11,16,22,10,49,{2,4,5,6,7,8,9,12,13,14,15,17,18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,27,31,9,6,17,2,100,50,{3,5,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,19,26,15,38,23,51,67,14,{1,3,4,5,6,7,9,10,11,12,13,16,17,18,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,47,25,1,2,27,10,14,6,{3,4,5,7,8,9,11,12,13,15,16,17,18,19,20,21,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,22,47,14,5,3,21,32,77,{1,2,4,6,7,8,10,12,13,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,43,72,1,2,17,42,51,8,97,{3,4,5,7,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 45,100,29,25,99,89,26,24,8,31,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98}
1: 100,37,6,2,11,8,22,28,23,97,{1,3,4,5,7,9,10,12,13,14,15,16,17,18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 15,33,12,1,14,44,2,7,17,40,{3,4,5,6,8,9,10,11,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,79,9,15,6,7,20,5,12,23,{1,2,3,4,8,10,11,13,14,16,17,18,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,4,21,22,73,53,15,27,42,58,{1,3,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,41,45,16,3,26,95,27,61,31,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 6,8,53,1,9,28,33,3,16,7,{2,4,5,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 70,3,14,17,43,49,21,54,18,6,{1,2,4,5,7,8,9,10,11,12,13,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,37,10,18,21,38,29,12,11,31,{1,2,3,4,5,6,7,8,9,13,14,15,16,17,20,22,23,24,25,26,27,28,30,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,62,11,31,83,5,34,63,1,24,{2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,27,25,22,19,3,29,40,16,14,{1,2,4,5,6,7,8,9,10,11,12,13,15,17,18,20,21,23,24,26,28,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,34,3,72,4,23,41,33,25,12,{1,2,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,3,65,19,40,91,25,1,63,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 8,11,6,9,3,7,58,14,50,81,{1,2,4,5,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,18,12,36,33,50,5,23,3,60,{1,2,4,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,45,3,4,24,17,42,6,38,{5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,15,22,14,31,7,27,3,28,{1,4,5,6,9,10,11,12,13,16,17,18,19,20,21,23,24,25,26,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,58,2,14,46,34,45,43,17,60,{1,3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,44,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,1,12,14,22,77,8,30,57,{2,3,4,5,6,7,9,10,13,15,16,17,18,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,20,33,100,11,68,10,14,56,23,{1,2,3,4,5,7,8,9,12,13,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,25,41,9,44,26,34,21,12,40,{1,2,3,4,5,6,7,8,10,11,13,14,15,16,17,18,20,22,23,24,27,28,29,30,31,32,33,35,36,37,38,39,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,74,7,5,56,49,23,14,24,12,{1,2,3,4,6,8,9,10,13,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,13,8,7,20,2,16,10,57,35,{3,4,5,6,9,11,12,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,31,46,57,12,54,32,17,39,72,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,6,5,41,7,10,27,40,14,16,{1,2,3,4,8,9,11,12,13,15,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,8,46,30,52,20,11,41,23,17,{1,2,3,4,5,6,7,9,10,12,13,14,15,16,18,19,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,19,33,31,45,63,51,2,3,{1,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,26,13,9,1,21,7,31,29,40,{2,3,4,5,6,10,11,12,14,15,16,17,18,19,20,22,23,24,25,27,28,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,2,10,5,100,49,33,98,6,32,{1,3,4,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 14,2,65,22,6,84,13,33,12,100,{1,3,4,5,7,8,9,10,11,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,22,61,37,29,4,34,17,48,41,{1,2,3,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,35,36,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,14,18,28,12,3,46,54,96,{1,2,4,5,7,8,9,11,13,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 37,38,41,31,12,1,18,92,17,45,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 14,41,51,10,28,3,100,56,24,50,{1,2,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,5,32,2,19,15,98,100,17,25,{1,3,4,7,8,9,10,11,12,13,14,16,18,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 34,15,8,11,10,31,16,14,80,42,{1,2,3,4,5,6,7,9,12,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,11,16,20,26,23,45,74,12,{1,2,3,4,5,7,9,10,13,14,15,17,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,9,3,31,23,30,46,12,14,{1,2,4,5,6,7,8,10,11,13,15,16,17,18,20,21,22,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,7,76,64,73,67,10,23,14,{1,2,3,4,5,6,9,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,41,11,13,14,48,24,28,7,4,{1,2,3,5,6,8,10,12,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,2,27,17,10,14,7,75,29,49,{1,4,5,6,8,9,11,12,13,15,16,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,30,53,62,7,46,23,33,4,{1,2,3,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,22,10,2,16,34,4,14,30,72,{1,3,5,7,8,9,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,61,31,21,6,65,14,12,4,{1,2,3,5,7,8,9,10,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 72,6,10,4,100,22,12,28,40,7,{1,2,3,5,8,9,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,4,76,57,1,26,82,71,15,62,{2,3,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,70,72,73,74,75,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,41,7,35,13,21,18,27,30,36,{1,2,3,4,5,6,8,10,11,12,14,15,16,17,19,20,22,23,24,25,26,28,29,31,32,33,34,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,10,7,3,8,46,74,1,32,{4,5,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,27,2,33,17,18,32,63,15,1,{3,4,5,6,7,8,9,11,12,13,14,16,19,20,21,22,23,24,25,26,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,41,40,19,25,60,18,34,15,4,{1,2,3,5,6,7,8,9,10,11,12,13,14,17,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,36,20,2,96,48,6,7,84,{1,3,4,5,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 9,5,28,78,14,16,4,44,60,69,{1,2,3,6,7,8,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 92,13,19,100,17,2,98,24,12,7,{1,3,4,5,6,8,9,10,11,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,99}
1: 53,2,1,21,11,23,7,24,4,5,{3,6,8,9,10,12,13,14,15,16,17,18,19,20,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,4,20,22,35,60,17,16,5,{1,2,3,6,7,8,9,10,11,12,13,14,18,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,34,23,15,26,12,14,68,3,30,{1,2,4,5,6,7,8,9,10,11,13,16,17,18,19,20,22,24,25,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 58,100,10,25,1,17,89,2,12,81,{3,4,5,6,7,8,9,11,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 6,10,2,12,33,52,73,18,60,61,{1,3,4,5,7,8,9,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,22,14,1,72,13,25,18,39,29,{3,4,5,6,7,8,9,10,11,12,15,16,17,19,20,21,23,24,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,3,26,100,10,21,27,36,52,13,{1,2,4,5,6,7,8,11,12,14,15,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,8,7,21,10,26,15,5,37,40,{1,2,3,4,6,9,11,12,13,14,16,17,18,19,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 51,5,35,60,23,17,77,16,48,40,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,6,1,42,4,51,21,14,7,{2,3,5,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,19,6,18,20,10,73,33,55,7,{1,2,3,4,5,8,9,11,12,13,14,15,16,17,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,11,6,23,16,37,100,9,97,{1,2,3,4,5,7,10,12,13,14,15,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 61,48,58,29,57,60,12,25,41,23,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,100,3,26,7,25,10,24,71,{1,4,5,6,8,9,11,12,13,14,15,16,17,18,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,100,30,35,6,20,73,1,8,19,{2,4,5,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,34,2,26,76,37,53,8,14,35,{1,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,4,1,8,69,2,77,87,39,20,{3,5,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,31,26,22,100,38,47,24,14,89,{1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,23,25,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 15,10,3,34,42,14,20,82,91,28,{1,2,4,5,6,7,8,9,11,12,13,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 57,33,61,60,17,22,7,10,2,51,{1,3,4,5,6,8,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,100,20,16,14,51,47,33,55,{1,3,4,5,6,7,8,9,10,11,12,13,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,10,4,28,35,11,17,55,24,52,{2,3,5,6,7,8,9,12,13,14,15,16,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,2,3,37,26,46,49,44,18,38,{1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,39,40,41,42,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,8,12,45,24,11,2,60,85,42,{1,3,4,5,6,7,9,10,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,28,10,34,100,35,37,25,6,27,{1,2,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,29,30,31,32,33,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,3,14,20,12,88,1,50,24,30,{2,4,5,6,7,8,9,10,11,13,15,16,17,18,19,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 25,7,24,2,11,13,52,16,69,72,{1,3,4,5,6,8,9,10,12,14,15,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,73,10,11,15,32,21,4,3,{1,2,5,6,7,8,9,12,13,14,16,17,18,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,27,26,4,32,75,100,17,24,23,{1,2,3,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,25,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,21,15,6,14,67,26,40,57,65,{1,2,3,4,5,7,9,10,11,12,13,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,84,18,6,44,9,17,5,19,45,{1,2,3,4,7,8,10,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,8,2,21,20,7,85,48,22,16,{1,3,4,5,6,9,11,12,13,14,15,17,18,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,8,100,5,7,33,23,75,22,{1,3,4,6,9,10,11,12,13,14,15,16,17,18,19,20,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,3,47,5,7,18,79,10,34,1,{2,4,6,8,9,11,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,25,10,9,2,3,5,78,90,{1,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 37,26,22,8,45,7,31,89,55,28,{1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,29,30,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 20,6,16,100,21,1,77,38,75,17,{2,3,4,5,7,8,9,10,11,12,13,14,15,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,34,24,38,16,75,78,15,23,{1,2,3,4,5,6,7,8,10,11,12,13,14,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,34,46,6,83,10,54,12,60,{1,2,3,4,5,7,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,15,100,7,5,14,32,42,28,{1,3,4,6,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,34,23,7,29,38,11,27,100,35,{1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,18,20,21,22,24,25,26,28,30,31,32,33,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,9,14,7,6,58,5,17,2,15,{1,3,8,10,11,12,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,19,8,2,13,5,3,30,28,24,{1,4,6,7,9,10,11,12,14,15,16,17,18,20,21,22,23,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,31,13,54,21,18,27,32,29,85,{1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,19,20,22,23,24,25,26,28,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,15,21,12,17,89,23,85,50,4,{1,2,3,5,6,7,8,9,10,11,13,14,16,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,36,40,1,50,21,64,4,16,{2,3,5,6,7,9,10,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,21,5,24,66,4,59,14,16,65,{1,2,3,6,8,9,10,11,12,13,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,4,35,36,15,11,10,32,7,{1,2,3,5,8,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,8,1,13,7,33,10,57,55,88,{2,3,4,5,6,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,78,9,41,62,21,1,87,23,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,73,10,1,2,100,40,30,18,{3,4,5,6,7,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,2,15,35,28,11,24,7,26,17,{1,3,4,5,6,8,10,12,13,14,16,18,19,20,21,22,23,25,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,1,6,16,44,31,14,51,92,71,{2,3,4,5,7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 34,8,37,20,38,27,10,92,5,17,{1,2,3,4,6,7,9,11,12,13,14,15,16,18,19,21,22,23,24,25,26,28,29,30,31,32,33,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 7,37,19,100,17,23,16,6,9,63,{1,2,3,4,5,8,10,11,12,13,14,15,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,7,14,5,19,40,49,96,33,36,{1,2,3,4,6,8,9,10,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 15,61,38,22,57,18,77,91,11,36,{1,2,3,4,5,6,7,8,9,10,12,13,14,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 22,10,45,29,43,14,8,84,46,81,{1,2,3,4,5,6,7,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,13,19,53,100,3,5,58,44,51,{1,2,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,3,9,23,10,18,21,20,51,16,{1,2,4,5,6,7,8,11,12,13,14,15,17,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,22,44,100,15,29,21,17,34,31,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,23,24,25,26,27,28,30,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,4,23,16,11,19,71,2,3,32,{1,5,6,7,9,10,12,13,14,15,17,18,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,9,31,1,92,79,6,5,52,{2,3,4,7,8,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 15,1,14,2,25,6,64,87,26,5,{3,4,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,10,18,1,54,17,57,92,55,38,{2,3,4,5,6,7,8,9,11,12,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 8,27,22,2,21,18,31,6,3,7,{1,4,5,9,10,11,12,13,14,15,16,17,19,20,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,50,9,41,100,16,17,15,27,34,{1,2,3,4,5,6,7,8,10,11,12,13,14,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,61,30,29,22,26,24,17,98,31,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,23,25,27,28,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 6,8,9,43,35,27,45,46,2,85,{1,3,4,5,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,20,52,26,22,10,100,44,35,{2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,96,34,6,1,13,2,23,59,7,{3,4,5,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 19,8,43,11,4,1,64,54,46,59,{2,3,5,6,7,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,10,9,13,27,78,20,32,21,{1,3,4,5,7,8,11,12,14,15,16,17,18,19,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,19,1,20,13,36,17,24,14,51,{2,3,4,5,6,7,8,9,10,11,12,15,18,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,7,20,1,79,23,22,12,6,75,{3,4,5,8,9,10,11,13,14,15,16,17,18,19,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,38,11,22,100,20,68,10,14,99,{1,2,3,4,5,6,7,8,9,12,13,15,16,17,18,19,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 9,3,19,32,47,5,100,30,50,89,{1,2,4,6,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 4,6,1,43,5,3,10,63,70,48,{2,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,100,66,3,12,42,31,39,40,{1,4,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,1,13,15,4,66,5,37,9,6,{2,3,7,8,10,11,12,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,14,11,7,100,3,12,40,18,{1,2,5,6,9,10,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,100,17,35,3,11,39,23,65,88,{1,2,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 13,37,4,12,21,16,67,52,27,42,{1,2,3,5,6,7,8,9,10,11,14,15,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,15,2,69,13,10,28,33,12,73,{1,3,4,5,6,7,8,9,11,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 77,52,13,79,17,15,47,100,48,54,{1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 17,15,5,10,100,6,19,53,26,31,{1,2,3,4,7,8,9,11,12,13,14,16,18,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,5,34,10,24,46,28,80,7,18,{1,2,3,4,6,8,9,12,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,12,100,26,10,37,59,27,33,90,{2,3,4,5,6,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 22,25,10,1,20,11,21,66,38,45,{2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,100,41,6,31,49,21,23,44,40,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,7,15,26,90,24,48,36,20,{1,3,4,5,8,9,10,11,12,13,14,16,17,18,19,21,22,23,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 6,40,20,17,27,73,3,25,57,18,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,19,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,100,6,30,39,51,23,44,42,{1,3,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,27,11,2,17,73,15,53,57,23,{3,4,5,6,7,8,9,10,12,13,14,16,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,10,47,100,5,6,29,35,73,38,{1,2,3,4,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,23,13,26,54,11,5,17,25,59,{1,2,3,4,6,7,9,10,12,14,15,16,18,19,20,21,22,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,24,12,47,11,19,26,5,52,{1,2,3,4,6,8,10,13,14,15,16,17,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,10,7,1,13,6,52,73,54,{2,3,5,8,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,21,34,50,37,12,66,16,32,{1,2,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,41,8,19,2,14,13,42,48,17,{1,3,4,5,6,7,9,10,11,12,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,2,1,58,100,44,10,14,7,91,{3,4,5,6,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 6,1,53,54,28,8,25,7,40,17,{2,3,4,5,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,37,48,11,100,13,22,29,28,12,{1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,23,24,25,26,27,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,6,7,18,13,2,46,20,32,5,{1,3,4,8,9,10,11,12,14,15,16,17,19,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,10,6,28,26,3,17,52,7,94,{1,2,5,8,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 22,9,73,2,39,61,13,24,28,32,{1,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,23,25,26,27,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,76,20,11,1,100,46,27,30,{3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,19,8,5,34,21,14,50,52,{2,3,4,6,7,9,10,11,12,13,15,16,17,18,20,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,6,14,43,44,100,15,7,45,35,{1,2,3,4,5,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,15,100,41,79,4,33,6,26,68,{1,2,3,5,7,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,8,12,21,18,27,7,17,54,23,{1,2,3,4,5,6,9,10,11,13,14,15,16,19,20,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,2,26,52,27,55,6,21,8,{1,4,7,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,25,19,35,23,29,4,60,12,100,{1,2,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,24,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,15,8,91,39,3,13,4,20,6,{1,2,5,7,9,10,11,12,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,10,62,22,45,46,21,32,7,60,{1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,7,1,5,14,24,37,13,31,38,{2,3,4,6,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,52,24,26,27,13,20,23,16,{1,2,3,4,5,6,8,10,11,12,14,15,17,18,19,21,22,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,1,17,100,37,12,34,39,21,6,{2,3,4,5,7,8,9,10,11,13,14,15,16,18,19,20,22,23,24,26,27,28,29,30,31,32,33,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,7,11,13,28,1,100,23,35,{2,3,4,5,6,9,10,12,14,15,16,17,18,20,21,22,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,18,4,25,10,5,34,39,7,15,{1,2,3,6,9,11,12,13,14,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,26,19,9,10,6,11,21,29,32,{1,2,3,4,5,7,8,12,13,14,15,16,17,18,20,22,23,24,25,27,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,33,26,21,10,5,31,32,60,{1,2,3,4,7,8,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,10,6,1,57,21,2,84,29,58,{3,4,5,7,8,9,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,8,2,60,70,19,13,11,21,64,{1,3,4,5,6,7,9,10,12,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,100,14,28,16,29,7,23,69,{1,3,5,6,8,9,10,11,12,13,15,17,18,19,20,21,22,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,66,40,33,27,11,23,34,22,47,{1,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,24,25,26,28,29,30,31,32,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,16,53,14,10,40,32,23,70,{1,2,3,5,6,7,9,11,12,13,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,8,26,35,14,36,16,24,33,{2,3,4,5,6,7,9,10,11,12,13,15,17,18,19,20,21,22,23,25,27,28,29,30,31,32,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,30,3,11,26,21,32,10,66,97,{1,2,4,5,6,7,8,9,12,13,14,16,17,18,19,20,22,23,24,25,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 31,7,11,54,26,39,24,16,3,41,{1,2,4,5,6,8,9,10,12,13,14,15,17,18,19,20,21,22,23,25,27,28,29,30,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,27,13,36,19,77,26,5,18,69,{1,2,4,6,7,8,9,10,11,12,14,15,16,17,20,21,22,23,24,25,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,10,43,61,20,46,34,30,6,{2,3,4,5,7,8,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,37,26,45,5,21,6,1,24,15,{2,3,4,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,25,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,47,15,100,20,11,10,17,28,18,{2,3,4,5,6,7,8,9,12,13,14,16,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,54,3,32,33,79,45,30,56,97,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,9,33,6,54,45,18,25,38,46,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,4,8,19,1,6,2,3,90,69,{5,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 3,13,2,27,11,20,37,23,62,42,{1,4,5,6,7,8,9,10,12,14,15,16,17,18,19,21,22,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,7,29,26,2,8,37,15,1,51,{3,4,5,6,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,33,25,100,27,21,23,46,50,93,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 22,50,8,31,5,18,12,24,15,45,{1,2,3,4,6,7,9,10,11,13,14,16,17,19,20,21,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,6,11,2,43,9,95,36,74,40,{1,3,4,5,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,5,52,17,34,13,16,7,14,39,{2,3,4,6,8,9,10,11,12,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,10,42,11,17,88,84,13,27,6,{2,3,4,5,7,8,9,12,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,40,16,67,74,2,23,20,19,64,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,9,15,47,6,37,48,26,32,16,{1,2,3,4,5,7,8,10,11,12,14,17,18,19,20,21,22,23,24,25,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,59,22,65,10,16,7,24,39,52,{1,2,3,4,5,6,8,9,11,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,8,2,16,17,65,4,30,24,18,{1,3,5,7,9,10,11,12,13,14,15,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,16,20,100,33,18,29,4,60,{1,2,3,5,7,8,9,10,11,12,13,15,17,19,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,15,31,58,100,20,3,2,26,59,{1,4,5,6,7,8,10,11,12,13,14,16,17,18,19,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,38,34,100,21,18,5,23,68,69,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,14,21,39,22,4,34,51,31,17,{1,2,3,5,6,7,9,10,11,12,13,15,16,18,19,20,23,24,25,26,27,28,29,30,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,33,11,23,39,63,42,13,43,40,{1,2,3,4,5,6,7,8,10,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,3,69,29,54,30,52,46,33,{1,2,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,100,41,45,15,43,9,24,3,17,{1,2,4,5,6,7,8,10,11,12,14,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,7,12,5,27,24,65,18,17,39,{1,2,3,4,6,8,9,10,11,13,14,16,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,7,29,10,17,3,22,5,56,{2,4,6,8,9,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,79,100,8,29,63,20,10,28,{1,2,3,5,7,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,20,15,41,95,36,33,12,69,16,{1,2,3,4,5,6,7,8,9,10,13,14,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 67,87,30,6,28,100,14,19,35,1,{2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 51,100,11,19,24,13,2,54,87,48,{1,3,4,5,6,7,8,9,10,12,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,20,77,30,5,19,73,34,3,35,{1,2,4,6,7,8,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,13,2,30,10,5,16,11,34,29,{1,3,4,6,7,8,9,12,14,15,17,18,19,20,21,23,24,25,26,27,28,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,2,10,5,29,57,16,6,1,59,{3,4,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,21,5,91,14,82,28,100,27,13,{1,2,3,4,6,7,8,9,10,11,12,15,16,17,19,20,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 9,14,12,51,27,13,1,5,24,43,{2,3,4,6,7,8,10,11,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,40,7,49,5,51,45,52,4,21,{1,2,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,22,10,1,24,74,18,13,26,{2,3,5,6,7,8,9,11,12,14,15,16,17,19,21,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,3,13,73,100,79,7,61,26,12,{1,2,4,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,13,3,100,11,8,7,16,9,30,{2,4,5,6,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,71,8,20,28,41,16,42,5,39,{1,2,3,4,6,7,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,18,10,25,9,14,51,5,48,{1,2,3,6,7,11,12,13,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,21,4,100,14,92,63,30,74,7,{2,3,5,6,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 8,2,18,26,10,99,25,7,17,40,{1,3,4,5,6,9,11,12,13,14,15,16,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,20,2,39,13,49,93,22,9,4,{1,3,5,6,7,10,11,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 21,34,19,1,38,5,37,40,46,6,{2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,47,71,3,4,23,30,12,21,25,{1,2,5,6,7,8,9,10,11,13,14,16,17,18,19,20,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,2,100,29,9,8,61,10,72,12,{1,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,33,16,4,3,11,30,46,15,27,{1,2,5,6,7,8,9,12,13,14,17,18,19,20,21,22,23,24,25,26,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,13,5,17,15,12,24,42,2,97,{1,3,4,6,7,8,9,10,11,14,16,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,20,31,9,26,23,12,49,17,7,{1,2,3,5,6,8,10,11,13,14,15,16,18,19,21,22,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,59,13,11,28,19,95,7,29,43,{1,2,3,4,5,6,9,10,12,14,15,16,17,18,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 18,9,50,39,12,3,23,33,26,5,{1,2,4,6,7,8,10,11,13,14,15,16,17,19,20,21,22,24,25,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,19,15,9,38,1,6,4,23,49,{2,3,5,7,8,10,11,12,13,14,16,17,18,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,34,10,6,4,1,12,50,17,16,{2,3,5,7,8,9,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,9,45,2,29,35,60,13,25,17,{1,3,4,5,6,7,8,11,12,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,28,72,17,100,5,48,11,22,23,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,18,19,20,21,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,21,3,12,22,51,13,60,37,35,{1,2,4,5,6,7,8,9,11,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,23,7,26,76,17,92,81,4,38,{1,2,3,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 7,36,3,10,22,12,8,21,28,97,{1,2,4,5,6,9,11,13,14,15,16,17,18,19,20,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 16,29,33,28,2,19,46,26,56,55,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,19,20,22,6,23,40,21,12,28,{1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,24,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,79,11,10,27,39,17,5,19,37,{1,2,4,6,7,8,9,12,13,14,15,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,14,6,48,2,31,21,83,62,{3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,7,6,29,44,21,96,35,3,51,{1,2,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 6,8,10,50,25,48,24,43,40,17,{1,2,3,4,5,7,9,11,12,13,14,15,16,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,2,9,3,100,43,15,99,24,{4,5,6,7,8,10,11,12,13,14,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 86,24,38,10,11,100,7,17,3,9,{1,2,4,5,6,8,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,72,9,26,23,19,21,13,6,57,{1,2,3,4,5,7,8,11,12,14,15,16,17,18,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,18,5,7,3,26,2,100,97,95,{1,4,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,98,99}
1: 100,19,13,7,38,40,63,94,95,42,{1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,96,97,98,99}
1: 53,2,3,26,18,82,20,51,1,14,{4,5,6,7,8,9,10,11,12,13,15,16,17,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,6,100,22,25,60,17,34,30,{1,2,3,4,5,7,9,11,12,13,14,15,16,18,19,20,21,23,24,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,11,21,12,5,14,17,3,7,27,{1,2,4,6,8,9,10,13,15,16,18,19,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,17,46,23,100,32,3,40,7,78,{1,2,4,5,6,8,9,10,11,12,13,14,16,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,12,38,46,6,11,22,26,100,{1,2,3,4,5,7,9,10,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,21,8,95,5,12,20,3,75,45,{2,4,6,7,9,10,11,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 21,15,1,39,14,23,46,48,50,60,{2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,21,5,52,12,27,62,55,86,{1,2,3,4,7,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,34,3,100,33,48,27,18,23,1,{2,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 48,11,7,53,18,24,97,25,1,52,{2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,8,19,12,14,25,30,80,29,59,{1,2,3,5,6,7,9,10,11,13,15,16,17,18,20,21,22,23,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,1,21,3,12,10,78,52,93,46,{2,4,5,6,7,8,9,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 27,45,20,15,53,16,35,59,33,86,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,11,3,21,2,77,13,12,64,17,{1,4,5,6,7,8,9,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,76,100,2,5,32,4,35,80,{3,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,47,39,45,2,27,7,46,11,50,{1,3,4,5,6,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,20,24,68,5,16,8,61,50,7,{1,2,3,4,6,9,10,12,13,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,71,26,50,46,10,42,33,3,{1,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,47,2,13,37,14,24,3,29,81,{1,4,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,7,56,72,12,59,22,16,29,1,{2,3,4,5,6,9,10,11,13,14,15,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,37,1,38,10,9,13,5,23,{2,3,4,6,7,11,12,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,19,6,35,9,16,39,26,93,29,{1,2,3,4,5,7,8,10,11,12,13,14,17,18,20,21,22,23,24,25,27,28,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 3,20,5,74,6,23,21,4,1,17,{2,7,8,9,10,11,12,13,14,15,16,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,53,18,30,55,86,29,17,14,{1,2,3,5,7,8,9,10,11,12,13,15,16,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,100,38,50,57,10,63,94,59,{1,2,3,4,5,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 3,25,17,29,7,22,39,11,28,87,{1,2,4,5,6,8,9,10,12,13,14,15,16,18,19,20,21,23,24,26,27,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,19,9,20,10,14,11,30,33,97,{1,2,3,4,5,6,7,8,12,13,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 9,10,26,29,51,34,3,30,35,4,{1,2,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,46,4,37,9,51,31,18,64,{1,3,5,6,7,8,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,10,25,40,12,42,1,24,50,38,{2,3,4,5,6,7,8,9,11,13,14,15,16,17,18,19,20,21,22,26,27,28,29,30,31,32,33,34,35,36,37,39,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,2,36,70,23,17,13,14,3,{1,4,5,7,9,10,11,12,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,36,19,2,100,40,55,28,83,17,{1,3,4,5,6,7,8,9,10,11,12,13,15,16,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,35,33,15,52,29,27,34,20,2,{1,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,28,30,31,32,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,7,1,2,21,8,39,10,24,{3,4,6,9,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,100,25,48,71,21,43,29,30,{1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,15,45,27,3,47,35,12,20,16,{1,2,4,5,6,7,9,10,11,13,14,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,11,35,25,15,5,87,67,85,{2,3,4,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,20,11,31,24,7,38,32,23,{1,3,4,5,8,9,10,12,13,14,15,16,17,18,19,21,22,25,26,27,28,29,30,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,8,22,10,30,11,28,49,52,59,{1,2,3,4,5,6,7,9,12,13,15,16,17,18,19,20,21,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,22,20,24,54,57,1,3,71,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,3,95,7,30,21,15,4,28,25,{1,2,5,6,8,9,10,11,12,13,14,17,18,19,20,22,23,24,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 2,73,53,34,36,7,1,5,40,17,{3,4,6,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,21,46,7,50,88,89,17,66,28,{1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,90,91,92,93,94,95,96,97,98,99,100}
1: 22,100,7,3,25,41,6,8,59,40,{1,2,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,19,71,25,100,12,28,51,3,38,{1,2,4,5,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,1,43,3,74,17,41,21,18,69,{4,5,6,7,8,9,10,11,12,13,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,9,61,15,54,50,26,94,16,{1,2,3,4,5,6,7,8,10,11,12,14,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 1,22,10,19,13,61,39,12,16,48,{2,3,4,5,6,7,8,9,11,14,15,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 64,11,6,22,41,100,10,99,16,75,{1,2,3,4,5,7,8,9,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 41,9,38,21,26,10,27,86,18,34,{1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,19,20,22,23,24,25,28,29,30,31,32,33,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,41,28,38,50,36,11,99,15,1,{2,3,4,5,6,7,8,9,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 53,79,8,5,25,80,28,97,7,77,{1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 2,5,10,8,3,21,16,39,31,78,{1,4,6,7,9,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,100,1,25,73,12,16,57,18,4,{2,3,5,6,7,8,9,10,11,13,14,15,17,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,100,48,7,20,18,16,17,64,{1,2,3,4,5,6,10,11,12,13,14,15,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,9,11,5,8,51,12,21,35,46,{1,2,3,4,7,10,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,41,11,7,3,5,23,59,69,{1,4,8,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,9,14,31,17,34,27,13,18,40,{1,2,3,4,5,6,7,8,10,12,15,16,19,20,21,22,23,24,25,26,28,29,30,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,10,100,31,12,4,7,16,42,62,{1,2,3,5,6,8,9,11,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,62,100,26,6,12,22,32,17,5,{1,2,3,4,7,8,9,10,11,13,14,15,16,18,20,21,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,11,34,31,9,61,63,30,4,6,{1,2,3,5,7,8,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,3,11,4,1,15,32,21,59,72,{2,5,6,7,8,9,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,18,39,6,15,8,47,22,58,28,{1,2,3,4,5,7,9,10,11,12,13,14,16,17,19,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,17,5,25,12,28,21,29,94,{1,2,3,4,6,7,8,10,11,13,14,15,16,18,19,20,22,23,24,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 4,13,6,27,5,12,50,15,91,36,{1,2,3,7,8,9,10,11,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,22,2,11,29,32,1,6,44,59,{3,4,5,7,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,21,3,20,18,6,1,42,4,{2,5,7,8,10,11,12,13,14,15,16,17,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,44,26,5,53,51,22,92,10,100,{2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 2,20,11,38,72,39,31,94,15,3,{1,4,5,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 11,23,4,3,12,31,29,35,75,40,{1,2,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,30,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,32,5,18,4,44,85,1,23,24,{2,3,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,41,8,65,13,11,51,10,5,33,{1,2,3,4,6,7,9,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,37,23,8,42,7,16,40,49,{1,2,3,5,6,9,10,11,12,13,14,15,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,38,39,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,58,31,45,8,64,11,6,12,41,{1,2,4,5,7,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,61,25,67,20,12,10,30,2,35,{1,3,4,6,7,8,9,11,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,18,7,47,4,14,3,49,40,52,{1,2,5,6,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,48,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,27,21,26,78,39,12,1,15,{3,4,5,6,7,8,9,10,11,14,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,37,58,8,7,3,34,14,33,4,{1,2,5,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,5,22,12,2,37,25,31,18,{1,3,4,6,7,8,10,11,13,14,15,16,17,19,20,21,23,24,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,6,4,22,36,13,3,24,5,7,{1,2,8,9,10,11,12,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,43,63,6,21,12,54,23,14,19,{1,2,3,4,5,8,9,10,11,13,15,16,17,18,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,21,5,23,17,24,43,7,38,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,18,20,22,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,20,2,62,12,11,51,9,30,42,{1,3,4,5,6,7,8,10,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,22,100,3,30,62,18,16,56,{1,2,4,5,6,7,9,10,11,12,13,14,15,17,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,21,8,37,2,92,14,33,12,64,{1,3,4,5,6,7,9,10,11,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 58,5,27,10,73,17,24,12,14,4,{1,2,3,6,7,8,9,11,13,15,16,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,64,15,50,45,100,3,21,52,35,{1,2,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,37,72,60,11,48,27,100,17,36,{1,2,3,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,25,24,13,17,6,30,5,40,38,{1,2,3,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,26,27,28,29,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,57,2,10,39,22,23,52,16,12,{3,4,5,6,7,8,9,11,13,14,15,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,53,10,18,7,15,21,30,17,{1,2,3,4,5,6,9,11,12,14,16,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,9,41,79,11,44,25,18,12,24,{1,2,3,4,5,6,7,8,13,14,15,16,17,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,13,11,7,68,28,16,5,31,{1,2,3,4,6,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,22,23,14,12,41,28,25,38,{1,3,4,5,6,7,8,10,11,13,15,16,17,18,19,20,21,24,26,27,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,13,2,79,9,19,24,36,4,72,{1,3,5,6,7,8,10,11,12,14,15,16,17,18,20,21,22,23,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,37,69,72,16,24,2,27,12,36,{1,3,4,6,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,70,100,40,9,18,14,12,52,{1,2,3,4,5,7,10,11,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,79,10,17,27,73,42,5,3,49,{1,2,4,6,7,8,9,11,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,45,29,5,25,21,10,23,39,4,{1,2,3,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,48,14,49,13,1,38,23,5,{2,3,4,6,7,9,10,11,12,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,79,20,52,26,36,4,6,16,7,{1,2,3,5,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,35,31,10,45,93,18,60,92,64,{1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,94,95,96,97,98,99,100}
1: 7,70,60,10,6,18,12,4,57,20,{1,2,3,5,8,9,11,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,22,44,38,3,5,41,28,4,{1,2,6,7,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 42,20,31,14,23,6,12,8,16,48,{1,2,3,4,5,7,9,10,11,13,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,73,38,5,22,41,40,21,32,25,{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24,26,27,28,29,30,31,33,34,35,36,37,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,10,9,4,16,6,5,96,39,40,{1,2,3,7,8,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 36,13,73,47,14,58,46,11,48,56,{1,2,3,4,5,6,7,8,9,10,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,55,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,100,31,6,3,5,38,29,7,16,{1,2,4,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,100,14,17,15,6,42,44,29,16,{1,2,3,4,5,7,8,9,10,11,12,13,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,21,100,5,34,62,77,84,71,{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,73,74,75,76,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,13,73,37,2,34,12,16,23,7,{1,3,4,5,6,8,9,10,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,100,5,12,47,6,27,18,7,19,{1,2,3,4,8,9,11,13,14,15,16,17,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,31,2,7,1,34,28,17,14,51,{3,4,5,6,8,9,10,11,12,13,15,16,18,20,21,22,23,24,25,26,27,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,7,44,14,9,21,46,12,38,{1,3,4,5,6,8,10,11,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,18,12,23,34,1,9,67,6,{3,4,5,7,10,11,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,20,27,14,39,11,55,40,98,21,{1,2,3,4,5,6,7,9,10,12,13,15,16,17,18,19,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 21,4,35,2,37,53,19,28,49,42,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,29,30,31,32,33,34,36,38,39,40,41,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,81,54,28,40,30,6,17,18,{1,2,3,4,5,7,8,9,10,12,13,14,15,16,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,100,10,3,1,9,15,44,21,32,{2,4,5,6,7,8,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,36,11,100,32,2,82,61,6,15,{1,3,4,5,7,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,15,2,18,23,5,9,13,93,64,{1,3,4,6,7,8,10,11,12,14,16,17,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 13,25,53,18,34,20,5,74,11,16,{1,2,3,4,6,7,8,9,10,12,14,15,17,19,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,16,73,37,18,1,20,46,38,43,{2,3,4,5,6,7,8,10,11,12,13,14,15,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,22,2,9,41,29,6,69,28,17,{3,4,5,7,8,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,36,15,14,22,25,31,48,24,50,{1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,21,23,26,27,28,29,30,32,33,35,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,51,6,31,84,50,42,54,23,{1,2,3,4,5,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,12,24,8,20,15,45,26,83,17,{1,2,3,5,6,7,9,10,11,13,14,16,18,19,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,20,10,31,34,14,100,68,72,{1,2,3,4,5,6,7,9,11,12,13,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,48,1,74,29,42,68,12,50,44,{2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,2,23,71,1,14,22,18,3,{5,6,7,8,9,10,12,13,15,16,17,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,31,47,2,23,27,82,29,33,17,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,24,25,26,28,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,9,19,5,94,6,10,33,99,59,{1,2,3,4,7,8,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,100}
1: 1,7,41,9,36,22,35,31,67,38,{2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,4,19,1,10,42,17,50,11,100,{2,3,5,6,8,9,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,8,37,36,3,5,10,14,28,12,{1,2,4,6,7,9,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,23,6,29,90,13,67,72,38,{1,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,36,6,37,26,10,8,33,3,5,{2,4,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,50,11,21,26,12,9,51,28,{2,3,4,5,6,7,8,10,13,14,15,16,17,18,20,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,20,28,68,12,3,54,21,34,18,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,19,22,23,24,25,26,27,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,4,21,31,51,50,5,14,70,16,{1,2,3,6,7,8,9,10,11,12,13,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,50,6,2,92,39,5,49,48,16,{1,3,4,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 8,100,37,48,17,11,53,24,34,30,{1,2,3,4,5,6,7,9,10,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,44,16,43,49,5,37,81,18,27,{1,2,3,4,6,7,9,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,72,15,44,36,70,22,17,23,{1,3,4,5,6,7,9,10,11,12,13,14,16,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,25,1,8,22,27,11,62,3,{2,4,5,7,10,12,13,14,15,16,17,18,19,20,21,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,19,8,100,9,3,5,66,89,77,{1,2,4,6,7,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 8,37,3,5,20,34,51,13,16,10,{1,2,4,6,7,9,11,12,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,15,25,1,19,5,63,28,12,16,{2,3,4,6,7,8,9,10,11,13,14,17,18,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,8,19,46,7,6,25,49,18,16,{1,2,3,4,5,9,10,11,12,13,14,15,17,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,1,19,8,18,6,29,10,16,28,{2,3,4,5,7,9,11,12,13,14,15,17,20,21,22,23,24,25,26,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,20,11,9,10,5,24,29,28,30,{1,2,3,4,6,7,8,12,13,14,15,16,17,18,21,22,23,25,26,27,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,6,49,3,18,16,100,66,15,28,{1,2,4,5,7,8,9,10,11,12,13,14,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,19,4,6,1,49,5,43,22,23,{2,3,7,8,9,10,11,12,13,14,15,16,17,18,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,1,40,3,45,34,46,54,6,{4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,3,70,1,25,16,23,62,18,{4,5,6,7,8,10,11,12,13,14,15,17,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,1,20,9,5,58,21,40,23,{3,4,7,8,10,11,12,13,14,15,16,17,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,12,1,34,55,97,22,7,100,16,{2,3,4,5,6,8,9,10,11,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 60,65,25,58,27,99,33,54,72,28,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 100,5,75,8,60,24,88,4,6,14,{1,2,3,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 12,37,63,33,22,25,1,31,100,34,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,32,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,100,21,5,69,29,1,52,25,55,{3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,14,23,10,15,74,31,17,4,7,{1,2,3,5,8,9,11,12,13,16,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,57,3,31,18,7,20,21,16,30,{1,2,4,5,6,8,9,10,12,13,14,15,17,19,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,61,2,13,72,14,58,25,12,6,{1,3,5,7,8,9,10,11,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,1,54,7,48,25,9,94,63,5,{2,3,4,6,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 37,35,100,22,41,6,25,5,10,67,{1,2,3,4,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,6,10,15,5,20,28,36,55,18,{1,2,3,4,7,8,9,11,12,13,14,16,17,19,21,22,23,24,25,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,2,60,17,4,27,64,96,35,7,{1,5,6,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 8,1,17,22,33,25,89,35,44,42,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27,28,29,30,31,32,34,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,24,3,11,20,16,21,2,86,{4,5,7,8,9,10,12,13,14,15,17,18,19,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,71,11,22,13,2,54,16,34,17,{1,3,4,5,6,8,9,10,12,14,15,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,51,28,54,20,27,7,40,52,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 76,2,43,100,29,11,42,8,17,81,{1,3,4,5,6,7,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,8,60,89,31,13,27,3,52,10,{1,2,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 15,41,25,4,10,61,26,12,28,31,{1,2,3,5,6,7,8,9,11,13,14,16,17,18,19,20,21,22,23,24,27,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,38,45,100,4,47,23,34,81,28,{1,2,3,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,29,30,31,32,33,35,36,37,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,6,17,44,33,8,14,24,13,64,{1,2,3,4,5,7,10,11,12,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,14,44,62,32,28,69,55,43,48,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,45,46,49,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,11,9,75,26,37,16,25,22,{1,2,3,4,5,6,7,10,12,13,14,15,17,18,20,21,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,57,100,22,5,6,8,4,90,61,{1,2,3,7,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 31,15,11,32,12,23,63,56,6,4,{1,2,3,5,7,8,9,10,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,64,6,1,36,25,39,14,30,28,{2,3,4,5,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,26,27,29,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,20,5,53,10,98,7,28,9,60,{1,2,3,4,6,8,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 4,35,73,26,62,100,46,39,80,12,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,19,1,100,7,30,74,18,16,78,{2,3,4,5,6,8,9,10,12,13,14,15,17,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,1,100,19,22,41,24,30,23,49,{2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,4,28,13,37,14,54,31,30,98,{1,2,3,5,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,29,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 20,22,11,19,7,2,43,30,25,23,{1,3,4,5,6,8,9,10,12,13,14,15,16,17,18,21,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,32,18,63,22,14,2,10,17,56,{1,3,4,5,6,7,8,9,11,12,13,15,16,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,23,22,41,6,30,19,49,48,64,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,100,25,10,3,40,39,13,6,{1,4,5,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,6,48,3,2,4,34,13,20,14,{1,5,7,8,10,11,12,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,38,25,37,1,58,23,24,47,17,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,26,27,28,29,30,32,33,34,35,36,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,33,22,21,59,7,5,30,72,48,{1,2,3,4,6,8,9,10,11,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,24,17,8,10,30,23,5,28,67,{1,2,3,4,6,7,9,11,12,14,15,16,18,19,20,21,22,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,6,100,3,9,4,1,2,39,34,{5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,9,11,31,12,24,23,34,28,51,{1,2,3,4,5,6,7,8,10,13,14,16,17,18,19,20,21,22,25,26,27,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,59,100,27,21,25,12,3,74,{1,2,5,6,7,8,9,10,11,13,14,15,16,17,18,19,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,18,23,1,9,7,35,39,53,98,{2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 19,38,26,100,4,22,27,29,15,16,{1,2,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,23,24,25,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,86,20,30,24,51,13,31,1,18,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,21,22,23,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,15,22,4,8,76,2,14,67,28,{1,3,5,6,7,9,10,11,12,13,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,18,47,21,49,31,14,24,12,6,{1,2,3,4,5,7,8,9,10,11,13,15,16,17,19,20,22,23,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,41,2,26,64,4,18,3,23,13,{1,5,6,7,8,9,10,11,12,14,15,16,17,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,37,31,3,12,35,24,15,45,17,{1,2,4,5,6,7,8,9,10,11,13,14,16,18,19,21,22,23,25,26,27,28,29,30,32,33,34,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,80,29,9,48,7,44,4,35,{1,3,5,6,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,21,7,8,100,26,41,51,33,91,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 6,19,9,100,47,15,31,2,4,17,{1,3,5,7,8,10,11,12,13,14,16,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,9,12,24,31,26,7,6,16,{1,2,3,4,5,10,11,14,15,17,18,19,20,21,22,23,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,33,21,80,27,64,30,15,3,{1,2,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,4,24,22,32,23,67,3,29,5,{1,2,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,8,35,16,11,14,70,27,13,34,{1,3,4,5,6,7,9,10,12,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,20,26,14,8,25,27,85,22,12,{1,2,3,4,5,6,7,9,10,11,13,15,16,17,18,21,23,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,66,11,41,4,1,13,6,62,7,{2,3,5,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,5,1,7,13,31,2,100,22,62,{3,4,6,8,9,10,11,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,20,14,26,7,13,32,28,73,6,{1,2,3,4,5,8,10,11,12,15,16,17,18,19,21,22,23,24,25,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,12,3,40,36,50,5,30,69,{1,2,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,100,1,50,41,32,14,10,4,{2,3,5,6,7,8,9,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,40,45,10,5,39,28,46,63,89,{1,2,3,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,85,21,13,16,24,52,82,78,{2,3,5,6,7,8,9,10,11,12,14,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 91,16,56,49,30,71,17,5,33,12,{1,2,3,4,6,7,8,9,10,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,6,13,18,100,48,12,39,56,97,{1,3,4,5,7,8,9,10,11,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 4,22,13,15,35,99,30,14,81,42,{1,2,3,5,6,7,8,9,10,11,12,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 1,13,31,74,5,14,65,33,28,90,{2,3,4,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 9,2,14,17,1,70,32,13,16,5,{3,4,6,7,8,10,11,12,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,29,2,74,13,100,17,24,32,38,{1,3,4,5,6,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,25,26,27,28,30,31,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,20,11,46,37,18,100,47,61,10,{1,2,3,4,5,6,7,8,9,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,96,7,29,20,43,17,28,5,{1,2,3,4,6,10,11,12,13,14,15,16,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 2,100,47,1,20,57,3,50,46,84,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,18,22,7,40,50,100,5,14,12,{2,3,4,6,8,9,10,11,13,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,9,3,6,1,30,4,28,27,38,{2,5,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,17,3,45,34,46,7,35,16,4,{1,2,5,6,8,9,10,11,12,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,31,13,15,7,48,9,74,4,{1,2,3,5,6,8,10,11,12,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,20,3,11,9,5,7,36,49,42,{1,2,4,6,8,10,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,9,6,41,14,24,39,10,42,3,{1,2,4,7,8,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,39,28,5,46,29,35,18,43,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,19,20,22,23,24,25,26,27,30,31,32,33,34,36,37,38,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,11,9,12,4,69,85,35,64,{1,3,5,6,7,8,10,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,47,9,33,28,37,12,13,2,29,{1,3,4,5,6,7,8,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,11,6,73,3,39,26,10,22,7,{1,2,4,5,8,9,12,13,14,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,4,13,5,9,41,100,84,28,69,{1,2,3,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 29,27,8,46,39,20,11,65,28,10,{1,2,3,4,5,6,7,9,12,13,14,15,16,17,18,19,21,22,23,24,25,26,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,8,26,2,6,100,30,28,99,17,{1,3,4,5,7,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 8,67,13,3,68,21,18,47,7,35,{1,2,4,5,6,9,10,11,12,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,21,11,12,41,9,17,23,100,74,{1,2,3,4,5,6,7,8,10,13,14,15,16,18,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,12,15,51,16,28,31,13,42,26,{1,2,3,4,5,6,7,9,10,11,14,17,18,19,20,21,22,23,24,25,27,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,38,19,5,40,12,15,28,13,21,{1,2,3,4,6,7,8,9,10,11,14,16,17,18,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,3,21,15,2,77,100,5,78,26,{1,4,6,7,8,9,10,12,13,14,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,21,22,100,48,5,16,20,14,46,{1,2,3,4,6,7,8,9,10,11,12,13,15,17,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 46,13,3,26,74,25,55,80,63,30,{1,2,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,28,47,11,70,31,72,3,7,5,{1,2,4,6,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,16,41,36,6,38,12,48,9,59,{1,2,3,5,7,8,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,29,14,20,21,33,23,13,4,{1,2,3,6,7,8,9,10,11,12,15,16,17,18,19,22,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,50,43,18,23,17,13,81,12,33,{1,2,3,4,5,6,7,8,9,10,14,15,16,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,100,45,24,10,34,21,32,23,48,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,22,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,24,26,6,48,30,1,52,4,17,{2,3,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,36,38,8,13,44,18,23,48,{1,2,3,5,6,7,9,10,11,12,14,15,16,17,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,5,38,100,3,61,77,24,16,64,{1,2,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,20,9,38,58,49,4,33,24,28,{1,2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,29,30,31,32,34,35,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,31,100,12,28,24,62,48,45,7,{1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,23,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,37,25,7,45,5,11,1,28,{3,4,6,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,25,7,9,2,30,52,35,24,26,{3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,65,3,17,63,12,32,28,44,{1,2,4,5,6,7,8,9,10,11,14,15,16,18,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,11,36,74,34,8,14,86,60,16,{1,2,3,4,5,6,7,9,10,12,13,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 40,31,9,61,100,5,12,73,87,85,{1,2,3,4,6,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,14,10,15,7,5,38,35,40,16,{1,2,3,4,6,8,11,12,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,45,98,11,36,13,20,6,17,{1,2,3,4,5,7,8,9,10,12,14,15,16,18,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 1,20,3,32,5,39,28,30,51,80,{2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,16,21,6,9,15,3,22,19,57,{1,2,4,5,7,8,10,11,12,13,14,17,18,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,47,20,75,14,44,50,4,30,12,{1,2,3,5,6,7,8,9,10,11,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,45,21,16,9,47,22,27,11,12,{1,2,3,4,5,7,8,10,13,14,15,17,18,19,20,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,19,38,100,25,1,5,9,35,51,{2,3,4,6,7,8,10,11,12,13,14,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,15,18,2,100,24,5,46,49,3,{1,4,6,7,8,9,10,11,12,13,14,16,17,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,16,1,100,11,7,5,57,12,37,{2,3,4,6,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,11,20,36,43,18,32,16,4,10,{1,2,3,5,6,7,8,9,12,13,14,15,17,19,21,22,23,24,25,27,28,29,30,31,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,31,6,79,50,100,1,43,17,95,{2,3,4,5,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 25,16,41,75,57,12,6,32,37,21,{1,2,3,4,5,7,8,9,10,11,13,14,15,17,18,19,20,22,23,24,26,27,28,29,30,31,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,24,63,3,5,29,7,8,62,{1,4,6,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,44,14,100,3,32,42,23,4,{1,2,5,6,7,9,10,11,12,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,13,22,100,63,1,18,32,14,{2,3,4,5,6,7,9,10,11,12,15,16,17,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,6,36,20,3,78,10,87,63,30,{1,2,5,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,44,11,7,16,90,17,29,38,3,{2,4,5,6,8,9,10,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 9,2,10,48,7,44,100,24,34,95,{1,3,4,5,6,8,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 8,15,14,18,28,90,5,16,7,71,{1,2,3,4,6,9,10,11,12,13,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 10,1,7,4,2,11,51,31,12,3,{5,6,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,3,4,34,9,2,27,23,78,60,{1,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,21,9,1,91,30,35,4,33,{3,5,6,7,8,10,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 10,8,13,16,100,26,7,1,23,4,{2,3,5,6,9,11,12,14,15,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,12,46,13,40,5,18,7,56,58,{1,2,3,4,6,8,9,10,11,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 59,14,4,51,2,9,5,18,91,56,{1,3,6,7,8,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 34,13,8,37,100,5,57,62,80,1,{2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,4,2,5,8,18,54,32,42,{3,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,18,9,79,26,24,78,54,51,60,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,20,10,55,13,94,12,60,32,{3,4,5,6,7,8,9,11,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 37,1,20,23,57,63,3,28,24,51,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,31,9,10,1,23,32,28,16,45,{2,3,4,5,6,7,8,11,12,13,14,15,17,18,19,21,22,24,25,26,27,29,30,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,25,7,14,100,20,4,39,17,{2,3,5,8,9,10,11,12,13,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,4,27,2,3,1,65,5,33,14,{6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,100,12,24,38,32,67,1,4,{2,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,62,10,15,32,9,7,67,3,69,{2,4,5,6,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,100,12,3,24,38,94,69,26,19,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,25,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 57,10,88,13,1,100,40,49,78,28,{2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 12,28,52,93,14,1,25,100,7,38,{2,3,4,5,6,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 23,26,70,31,100,71,12,24,35,7,{1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,25,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,1,23,39,18,17,3,9,32,7,{2,4,5,6,8,10,11,12,13,14,15,16,19,20,21,22,24,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,37,2,8,6,39,27,66,16,40,{1,3,4,5,7,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,9,25,5,12,24,56,59,35,{1,3,4,6,7,8,10,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,27,20,17,19,16,45,10,64,75,{1,2,3,4,5,6,7,8,9,12,13,14,15,18,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,1,7,20,23,5,4,31,35,16,{2,3,6,8,9,10,12,13,14,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,14,21,6,29,95,32,9,4,8,{1,2,3,5,7,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 6,24,14,20,53,2,34,5,96,73,{1,3,4,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 28,91,32,17,9,2,35,49,42,29,{1,3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,30,31,33,34,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 3,15,4,32,33,17,14,16,51,25,{1,2,5,6,7,8,9,10,11,12,13,18,19,20,21,22,23,24,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,31,22,41,5,23,55,17,50,{3,4,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,36,2,7,10,38,17,28,54,18,{1,3,4,5,6,8,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,20,15,18,17,12,24,23,94,89,{1,2,3,4,5,6,8,9,10,11,13,14,16,19,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,95,96,97,98,99,100}
1: 1,96,26,18,10,100,22,30,3,5,{2,4,6,7,8,9,11,12,13,14,15,16,17,19,20,21,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 19,26,21,16,14,3,6,38,15,46,{1,2,4,5,7,8,9,10,11,12,13,17,18,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,47,9,37,2,16,53,50,95,20,{1,3,4,5,6,7,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,32,69,20,82,13,29,15,49,17,{1,2,3,4,5,6,7,9,10,11,12,14,16,18,19,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,16,22,8,37,29,1,11,42,23,{2,3,4,5,6,7,9,10,12,13,15,17,18,19,20,21,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,13,37,9,34,39,100,42,3,{1,2,4,5,7,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,11,100,4,6,3,33,88,16,{1,2,5,7,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 10,71,25,11,4,6,13,35,98,92,{1,2,3,5,7,8,9,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,99,100}
1: 2,22,6,32,11,20,5,48,40,17,{1,3,4,7,8,9,10,12,13,14,15,16,18,19,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,47,11,6,10,9,28,4,39,{2,5,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,22,16,51,6,24,4,12,18,{1,2,3,5,7,10,11,13,14,15,17,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,2,23,25,26,13,45,48,50,9,{1,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,22,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,53,46,14,7,6,59,66,77,12,{1,2,3,4,5,8,9,10,11,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,4,11,10,12,19,9,56,21,{1,3,5,6,7,8,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,17,2,100,26,16,59,12,28,{1,3,5,6,7,8,9,10,11,13,15,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,15,6,13,5,20,16,49,58,30,{2,3,4,7,8,9,10,11,12,14,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,27,20,80,44,2,30,100,1,{3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,48,6,19,16,80,71,29,10,1,{2,3,4,5,7,8,9,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,54,10,2,18,28,29,66,49,{3,4,5,6,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,7,5,100,50,9,95,29,21,{1,2,3,4,6,8,10,11,12,13,14,15,16,17,18,20,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 21,3,11,35,12,96,27,9,25,29,{1,2,4,5,6,7,8,10,13,14,15,16,17,18,19,20,22,23,24,26,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 4,13,2,19,21,41,75,33,12,48,{1,3,5,6,7,8,9,10,11,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 44,8,7,4,13,11,36,60,15,14,{1,2,3,5,6,9,10,12,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,7,5,41,39,50,47,10,28,6,{1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,7,1,30,2,62,44,5,36,11,{4,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,2,13,82,34,16,7,51,1,{3,5,6,9,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,45,11,22,14,4,3,40,23,{1,2,5,6,7,9,10,12,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,1,14,5,6,18,46,12,33,{2,3,4,7,8,9,10,11,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,16,39,8,6,4,10,22,46,13,{1,2,3,5,7,9,11,12,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,2,10,6,71,29,45,25,17,{1,3,5,7,8,9,11,12,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,13,37,11,15,1,48,6,39,7,{2,3,4,5,8,9,10,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,35,76,58,8,5,6,51,17,18,{1,2,3,7,9,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,15,12,27,18,100,25,59,98,49,{1,2,3,5,6,7,8,9,10,11,13,14,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 13,5,2,6,11,65,95,30,36,16,{1,3,4,7,8,9,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,95,32,9,52,23,3,47,22,40,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 10,27,25,100,5,24,34,31,16,17,{1,2,3,4,6,7,8,9,11,12,13,14,15,18,19,20,21,22,23,26,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,11,26,55,52,38,69,78,35,24,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,21,22,23,25,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,21,34,15,11,3,62,100,17,{1,4,5,6,7,8,9,10,12,13,14,16,18,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,22,46,55,23,21,18,14,10,{2,3,4,5,6,7,9,11,12,13,15,16,17,19,20,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,21,10,50,35,5,18,28,17,{1,3,4,6,7,8,9,11,12,13,14,16,19,20,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 68,7,38,11,74,63,77,23,18,13,{1,2,3,4,5,6,8,9,10,12,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,1,41,21,2,9,6,29,3,12,{4,5,7,8,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,18,31,13,23,6,100,46,27,37,{1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,19,20,21,22,24,25,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,2,13,34,3,43,5,50,14,{1,4,6,7,9,10,11,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 78,26,11,20,15,39,1,34,28,35,{2,3,4,5,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,24,25,27,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 52,12,5,11,13,73,22,18,16,7,{1,2,3,4,6,8,9,10,14,15,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,10,2,12,6,5,52,22,68,46,{1,3,4,7,8,9,11,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,65,14,25,22,1,100,34,30,{2,3,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,23,24,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,8,6,9,72,68,34,74,17,18,{1,2,3,4,5,7,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 68,52,31,15,27,6,48,7,35,17,{1,2,3,4,5,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,34,54,20,100,74,15,56,28,33,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,31,11,100,14,6,57,24,17,35,{1,2,3,4,5,7,8,9,10,12,13,16,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,9,13,3,26,25,20,50,100,51,{2,4,5,6,7,8,10,11,12,14,15,16,17,18,19,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,12,21,28,22,70,17,15,42,1,{2,3,4,5,6,7,8,9,10,11,13,14,16,18,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,25,21,72,7,15,67,62,29,97,{1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 5,30,35,14,6,45,95,2,7,90,{1,3,4,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,96,97,98,99,100}
1: 9,1,8,15,20,54,100,12,51,28,{2,3,4,5,6,7,10,11,13,14,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,6,3,54,46,100,45,38,1,17,{2,4,5,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,5,28,12,11,39,100,98,7,49,{1,2,3,4,6,8,9,10,13,14,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 4,100,13,21,32,38,42,14,45,81,{1,2,3,5,6,7,8,9,10,11,12,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,3,21,11,13,100,10,31,18,49,{1,2,4,5,6,7,8,9,12,14,16,17,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,5,2,14,1,17,18,100,10,74,{3,4,6,7,8,9,11,12,13,15,16,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,3,79,12,5,7,4,1,31,18,{2,6,8,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,6,20,27,39,21,3,2,26,16,{1,4,5,7,8,9,10,11,12,13,14,17,18,19,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,11,20,5,30,80,28,2,16,70,{1,3,4,6,8,9,10,12,13,14,15,17,18,19,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,46,20,26,19,69,42,58,1,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,1,2,45,100,33,29,14,49,{3,4,5,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,22,47,2,11,91,18,7,6,4,{1,3,5,9,10,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 61,41,27,11,9,1,5,6,10,14,{2,3,4,7,8,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,22,46,13,39,5,67,35,23,17,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,18,20,21,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,20,1,77,19,45,34,6,9,42,{2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,44,38,12,42,96,1,17,25,7,{3,4,5,6,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 18,9,38,5,14,22,28,23,3,72,{1,2,4,6,7,8,10,11,12,13,15,16,17,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,37,3,33,55,13,81,48,46,1,{2,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,47,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,8,4,41,44,18,30,42,29,{2,3,5,6,7,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,5,57,8,12,17,1,34,56,{3,4,6,7,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,18,31,73,20,64,17,34,1,35,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,22,23,24,25,27,28,29,30,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,62,4,32,52,10,20,6,51,16,{1,2,3,5,7,9,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,34,17,25,6,3,26,74,43,56,{1,2,4,5,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,100,31,16,46,8,11,20,28,17,{1,2,4,5,6,7,9,10,12,13,14,15,18,19,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,13,2,16,45,71,10,12,4,52,{1,3,5,6,7,8,9,11,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,21,58,3,12,30,24,17,5,{2,4,6,7,9,10,11,13,14,15,16,18,19,20,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,21,2,26,18,31,10,12,72,49,{1,3,4,5,6,7,8,9,13,14,15,16,17,19,20,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,1,11,31,23,15,9,7,32,{2,3,4,5,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,61,5,25,19,100,23,42,16,{1,2,3,7,8,9,10,11,12,13,14,15,17,18,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,38,61,11,19,14,6,18,17,42,{1,2,4,5,7,8,9,10,12,13,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,6,2,7,31,13,78,17,92,{1,3,4,5,8,9,10,11,12,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 1,19,37,15,35,100,2,28,85,83,{3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,15,22,9,28,32,1,7,16,4,{2,3,5,6,8,10,11,12,14,17,18,19,20,21,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,4,6,18,19,11,20,27,14,23,{1,2,3,5,7,8,9,10,12,13,15,16,17,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,13,18,2,12,14,1,52,7,{3,5,6,9,10,11,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 58,12,18,46,36,21,17,25,83,29,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,19,20,22,23,24,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,29,5,15,20,51,52,24,1,{2,3,4,7,9,10,11,12,13,14,16,17,18,19,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,34,43,2,41,100,76,10,83,58,{1,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,45,29,1,50,13,42,4,24,{2,3,5,6,7,8,10,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,31,51,25,24,60,14,6,16,4,{1,2,3,5,7,8,10,11,12,13,15,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,37,26,100,4,18,12,89,29,{2,3,5,6,7,8,9,10,11,13,14,16,17,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 8,21,6,99,100,14,1,23,35,17,{2,3,4,5,7,9,10,11,12,13,15,16,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 8,2,70,6,1,44,21,30,7,17,{3,4,5,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,35,2,12,4,34,23,39,1,52,{3,5,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,11,35,7,45,82,31,34,55,18,{1,2,3,4,5,6,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,6,42,82,58,60,28,4,17,{1,3,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,18,17,28,5,43,12,44,48,{1,2,3,4,7,8,10,11,13,14,15,16,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,59,15,3,28,31,57,41,17,{2,4,5,6,7,8,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,13,100,9,10,12,33,28,86,7,{1,2,3,4,5,6,8,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,44,8,48,78,23,16,63,66,5,{1,2,3,4,6,7,9,10,11,12,13,14,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,9,21,5,34,24,16,53,25,{1,2,3,4,6,7,10,11,12,13,14,15,17,18,20,22,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,41,6,24,12,68,49,56,75,{1,2,3,5,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,100,16,20,27,24,33,37,23,46,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,21,22,25,26,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,20,30,1,26,9,6,29,71,48,{2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,27,28,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,4,2,16,74,9,31,40,47,100,{1,3,5,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,37,9,21,23,100,43,64,24,52,{1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,3,30,71,50,58,100,12,48,{1,2,4,5,6,7,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,16,31,24,7,43,18,17,1,35,{2,3,4,5,6,8,9,10,11,12,13,15,19,20,21,22,23,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,21,2,22,41,4,63,16,77,26,{1,3,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,100,5,7,48,28,55,62,15,53,{1,2,3,4,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,22,12,6,44,17,5,14,46,23,{1,2,3,4,7,8,9,10,11,15,16,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,51,38,19,30,44,3,9,22,{1,2,4,5,6,7,8,10,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,8,13,27,76,56,10,22,42,50,{1,2,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,21,17,25,9,41,11,4,6,56,{1,2,3,5,7,8,10,12,13,14,15,16,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,100,35,27,21,1,5,93,51,10,{2,3,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 27,1,4,8,7,10,16,28,70,38,{2,3,5,6,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,2,1,52,55,3,42,16,44,{4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,13,11,20,3,31,38,7,12,77,{1,2,4,5,6,8,9,10,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,9,2,3,26,28,12,33,20,95,{1,4,5,7,8,10,11,13,14,15,16,17,18,19,21,22,23,24,25,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 18,21,7,42,5,11,23,9,3,15,{1,2,4,6,8,10,12,13,14,16,17,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,8,1,31,5,9,12,37,15,{2,3,6,7,10,11,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,13,7,8,27,25,9,41,11,14,{1,2,3,4,5,6,10,12,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,6,19,100,16,46,33,14,5,69,{1,2,3,4,7,8,9,10,11,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,9,1,10,88,45,63,5,17,44,{2,3,4,6,7,8,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,10,39,50,30,12,43,18,42,3,{1,2,4,5,6,7,8,9,11,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,30,88,11,5,64,6,7,100,{1,3,4,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 1,4,3,7,70,40,44,16,17,21,{2,5,6,8,9,10,11,12,13,14,15,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,4,3,23,5,17,78,19,8,59,{2,6,7,9,10,11,12,13,14,15,16,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,49,2,9,51,32,11,56,10,40,{1,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,9,36,50,11,16,2,13,64,4,{1,3,5,6,7,8,10,12,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,22,44,14,1,50,10,89,33,11,{2,3,4,5,6,7,8,9,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,7,34,2,4,24,54,77,17,{1,3,5,6,8,9,10,12,13,14,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,100,11,42,35,18,27,12,23,52,{1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,19,20,21,22,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,3,9,50,41,62,16,39,6,58,{1,2,5,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,61,12,33,31,68,28,17,77,69,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,8,3,43,5,2,56,25,38,54,{1,4,6,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,60,82,40,46,11,14,25,35,{1,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,10,7,88,13,12,16,6,17,{1,2,4,5,8,9,11,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 8,37,5,53,11,40,25,20,66,24,{1,2,3,4,6,7,9,10,12,13,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,2,3,31,100,47,64,11,70,7,{1,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,10,5,37,8,42,2,48,4,{1,3,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,51,9,12,100,24,17,26,97,45,{1,2,3,5,6,7,8,10,11,13,14,15,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 9,12,24,100,36,28,42,44,54,21,{1,2,3,4,5,6,7,8,10,11,13,14,15,16,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,79,16,47,17,64,43,10,45,32,{1,3,4,5,6,7,8,9,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,53,72,78,34,63,14,23,42,100,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,100,22,34,1,30,8,26,47,49,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,37,9,49,22,100,31,20,4,34,{2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 30,28,8,9,31,4,10,22,65,39,{1,2,3,5,6,7,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,29,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,1,27,21,34,46,39,6,5,80,{2,3,4,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,34,41,1,3,6,10,28,33,59,{4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,6,4,20,100,79,29,12,39,65,{1,2,3,5,7,8,9,10,11,13,14,15,16,17,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,19,8,20,10,41,7,78,83,5,{1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,38,37,20,30,41,11,13,5,17,{1,2,3,4,6,7,8,9,12,14,15,16,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,6,28,64,23,46,36,20,18,{1,3,4,5,7,9,10,11,12,13,14,15,16,17,19,21,22,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,21,3,30,16,7,28,50,15,{1,2,4,5,6,9,10,11,12,13,14,17,18,19,20,22,23,24,25,26,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,25,23,26,41,7,31,44,42,10,{1,2,3,4,5,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,27,28,29,30,32,33,34,35,36,37,38,39,40,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,36,47,64,27,18,21,26,6,38,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,28,29,30,31,32,33,34,35,37,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,53,31,50,5,24,70,32,68,40,{1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,9,62,15,26,21,50,32,18,23,{1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,19,20,22,24,25,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,1,36,3,23,10,24,61,2,80,{4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,19,26,11,12,24,35,49,17,{1,2,3,4,6,7,8,9,10,13,14,15,16,18,20,21,22,23,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,6,18,37,3,44,11,1,30,34,{2,4,5,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 70,2,100,46,13,35,31,4,17,18,{1,3,5,6,7,8,9,10,11,12,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,3,30,33,32,100,74,29,58,7,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,65,22,17,25,21,59,28,31,{1,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,24,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,14,1,10,37,44,63,100,7,{2,3,5,6,8,9,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 58,100,18,11,5,98,86,14,16,42,{1,2,3,4,6,7,8,9,10,12,13,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,99}
1: 31,3,9,15,53,42,13,10,25,4,{1,2,5,6,7,8,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,100,11,17,25,2,24,29,28,{3,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,37,11,2,20,13,100,32,1,30,{3,4,5,6,7,9,10,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,7,33,34,24,52,30,26,16,1,{2,3,4,5,6,8,9,10,11,13,14,15,17,18,19,20,21,22,23,25,27,28,29,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,4,16,19,63,31,74,50,100,15,{1,2,3,5,6,7,8,9,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,9,17,23,16,14,3,48,40,60,{1,4,5,6,7,8,10,11,12,13,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,15,22,10,14,70,82,55,90,1,{2,3,4,5,6,8,9,11,12,13,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,12,24,13,7,20,76,56,16,40,{2,3,4,5,6,8,9,10,11,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,1,60,2,15,18,85,24,68,{3,4,5,6,7,8,9,10,11,12,13,14,16,17,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,1,6,8,23,65,99,74,66,35,{2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 28,17,47,18,100,16,67,34,78,45,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,8,36,17,3,51,37,78,90,77,{1,2,4,5,6,7,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 12,7,9,57,31,26,5,44,17,34,{1,2,3,4,6,8,10,11,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,37,21,20,15,3,23,18,70,{1,2,4,5,6,7,9,10,11,12,13,14,16,17,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,21,10,14,100,44,74,64,25,17,{2,3,4,5,6,7,8,9,11,12,13,15,16,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,14,4,55,24,36,7,53,59,{1,2,3,5,6,8,10,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,9,33,6,20,5,35,17,64,11,{1,2,3,4,7,8,10,12,13,14,15,16,18,19,21,22,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,41,22,10,21,100,14,28,7,25,{1,2,3,4,5,6,8,9,11,12,13,16,17,18,19,20,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,4,47,25,9,23,49,2,30,48,{1,3,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,3,53,47,36,7,71,12,23,{1,2,4,5,6,9,10,11,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,26,33,21,12,3,51,23,17,43,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,22,24,25,27,28,29,30,31,32,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,13,10,2,7,67,3,29,28,17,{1,4,5,6,8,9,11,12,14,15,16,18,19,20,21,22,23,24,25,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,48,21,14,39,15,46,23,50,60,{2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,47,37,8,2,100,29,13,27,21,{1,3,4,5,7,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,4,35,8,12,3,29,16,52,{1,2,5,6,7,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,47,19,27,14,36,59,62,10,11,{1,2,3,5,6,7,8,9,12,13,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,9,1,25,3,5,21,7,48,{2,4,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,27,5,63,12,3,24,1,23,7,{2,4,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,10,4,34,27,8,65,5,33,44,{1,2,3,6,7,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,30,8,32,29,26,25,39,44,{1,2,3,5,6,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,27,28,31,33,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,22,1,11,79,54,17,34,18,57,{2,3,4,5,7,8,9,10,12,13,14,15,16,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,5,46,10,43,36,52,7,35,6,{1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,2,19,44,26,74,25,34,51,{1,3,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,31,14,1,34,4,36,33,71,9,{2,3,5,6,7,8,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,54,1,28,17,41,15,53,5,62,{2,3,4,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,11,12,100,5,4,55,50,40,17,{1,2,3,6,7,8,9,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,6,100,11,27,65,86,53,17,{1,2,3,4,5,7,9,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,2,11,23,13,14,9,5,1,38,{3,4,6,7,8,10,12,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,52,100,58,23,87,12,33,35,{1,2,3,4,5,6,7,8,10,11,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,27,31,100,1,28,80,35,40,74,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,11,1,26,10,22,16,32,33,7,{2,3,4,5,6,8,9,12,14,15,17,18,19,20,21,23,24,25,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,100,5,9,27,18,64,51,4,{1,2,3,6,7,10,11,12,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,13,17,27,14,46,50,49,43,45,{1,2,3,4,5,6,7,8,9,11,12,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,15,50,20,8,26,46,28,7,5,{1,2,3,4,6,10,11,12,13,14,16,17,18,19,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,64,42,37,76,1,2,49,18,33,{3,4,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,12,11,9,47,2,52,14,16,38,{1,3,4,5,6,7,10,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,22,38,52,5,100,16,98,17,{1,2,3,4,6,7,8,9,10,12,13,14,15,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 37,12,27,53,24,41,4,78,28,25,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,26,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,13,71,7,76,5,6,40,16,56,{1,2,3,4,8,9,10,11,12,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,40,7,32,1,25,10,41,77,28,{2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,11,20,22,52,12,39,73,26,5,{1,2,3,4,6,7,8,9,10,13,14,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,14,13,18,11,20,17,30,42,10,{1,2,3,4,5,6,7,8,12,15,16,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,25,8,3,71,10,76,17,63,12,{1,2,5,6,7,9,11,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,100,14,3,15,13,4,73,52,16,{1,2,5,6,7,8,9,10,11,12,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,9,27,2,33,5,37,3,55,29,{4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,11,6,22,23,39,2,16,26,54,{1,3,5,7,8,9,10,12,13,14,15,17,18,19,20,21,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,3,31,1,35,71,44,23,33,17,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,24,25,27,28,29,30,32,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,37,61,13,31,32,9,47,40,75,{1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,33,34,35,36,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,11,12,50,15,25,45,23,96,64,{1,2,3,4,6,7,8,9,10,13,14,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 7,38,1,2,10,21,20,4,16,14,{3,5,6,8,9,11,12,13,15,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,1,11,5,20,99,92,18,93,4,{2,3,6,7,8,9,10,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,94,95,96,97,98,100}
1: 12,53,1,7,19,46,28,24,68,22,{2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,20,21,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,53,15,1,3,12,20,16,2,32,{4,5,6,7,8,9,10,13,14,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,35,19,76,12,11,17,25,27,21,{1,2,3,4,5,6,7,8,9,10,13,14,16,18,20,22,23,24,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,34,4,3,10,67,17,97,1,{2,5,6,7,9,11,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 20,13,10,15,16,51,58,24,5,74,{1,2,3,4,6,7,8,9,11,12,14,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,4,33,3,7,24,2,48,16,56,{1,5,6,8,9,10,11,12,13,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,3,100,65,13,5,12,18,54,28,{1,2,4,6,7,8,9,10,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,8,13,24,7,18,44,50,97,52,{1,2,3,4,5,6,9,10,11,12,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 1,2,15,16,27,11,14,5,12,34,{3,4,6,7,8,9,10,13,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 73,27,51,77,62,4,71,6,7,3,{1,2,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,72,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,3,11,50,22,39,77,53,40,{1,2,4,5,6,7,9,10,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,26,29,7,5,49,4,28,24,{1,2,3,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,30,22,100,24,21,7,23,33,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,11,21,13,23,46,4,12,9,50,{1,2,3,5,6,7,8,10,14,15,16,17,18,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,36,31,11,54,28,16,1,7,85,{2,3,5,6,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,14,3,9,22,1,26,40,35,{2,4,5,7,8,10,11,12,13,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,41,21,81,6,36,16,33,14,59,{1,2,3,4,5,7,8,9,10,11,12,13,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,26,11,65,51,33,3,10,34,{1,4,5,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,23,31,54,13,24,7,4,17,40,{1,2,3,6,8,9,10,11,12,14,15,16,18,19,20,21,22,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,5,1,19,7,25,11,29,28,23,{2,3,4,6,8,9,12,13,14,15,16,17,18,20,21,22,24,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,14,1,20,6,17,55,10,4,{3,5,7,8,9,11,12,13,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,32,54,27,72,13,2,89,100,40,{1,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 8,2,11,65,10,22,14,41,6,75,{1,3,4,5,7,9,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,21,74,46,39,27,29,47,9,{1,2,3,4,5,6,7,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,79,5,74,14,42,7,29,13,17,{1,2,3,4,6,8,9,10,11,12,15,16,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,15,53,57,17,3,11,19,18,21,{1,2,4,5,6,7,8,9,10,12,13,14,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,61,37,88,44,24,68,9,29,3,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,37,2,32,11,49,30,100,41,12,{1,3,4,5,6,7,8,9,10,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,33,34,35,36,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,10,38,69,39,14,66,1,35,4,{2,3,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,53,10,12,3,18,42,17,45,69,{1,2,4,5,6,7,8,9,11,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,6,4,2,70,26,74,12,46,{1,3,5,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,17,3,7,37,46,11,27,62,29,{1,2,4,5,6,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,17,100,11,4,18,53,5,46,{1,2,3,6,7,9,10,12,13,14,15,16,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,15,10,100,25,24,31,52,17,39,{2,3,4,5,6,7,8,9,11,12,13,14,16,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,57,23,1,22,38,5,10,30,70,{2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,100,3,21,66,24,15,40,25,6,{1,2,5,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,26,5,3,9,10,4,18,21,32,{1,2,6,7,8,11,12,13,14,16,17,19,20,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,25,36,10,100,15,30,60,14,51,{1,2,3,4,5,6,7,8,9,11,12,13,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,25,33,84,1,26,5,31,12,29,{2,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,5,47,31,15,10,4,6,62,8,{1,2,3,7,9,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,46,13,9,18,12,33,17,4,97,{1,2,3,5,6,7,8,10,11,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,10,7,5,17,11,6,31,23,34,{1,2,3,4,8,9,12,13,14,15,16,18,20,21,22,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,100,26,7,5,50,10,78,32,{1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,2,32,26,20,31,28,1,18,{3,4,5,6,7,9,10,12,13,14,15,16,17,19,21,22,23,24,25,27,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,3,2,38,18,5,11,55,30,17,{1,4,6,7,8,9,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,5,33,6,18,62,91,7,1,2,{3,4,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 65,1,15,36,57,2,13,35,29,7,{3,4,5,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,26,3,58,12,30,95,18,8,4,{1,2,5,6,7,9,11,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,26,3,37,8,100,19,1,25,44,{2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,100,10,22,74,28,1,44,18,2,{3,4,5,7,8,9,11,12,13,14,15,16,17,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,36,22,3,12,100,88,41,4,94,{1,2,5,6,7,8,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,95,96,97,98,99}
1: 5,26,29,11,36,46,25,20,84,22,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,21,23,24,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,6,9,11,20,18,23,48,33,{2,3,4,5,7,10,12,13,14,15,16,17,19,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,36,47,23,9,27,49,78,25,87,{1,2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,17,20,10,18,1,74,5,23,60,{2,3,6,7,8,9,11,12,13,14,15,16,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,42,10,5,8,25,24,2,17,29,{1,3,4,6,7,9,11,13,14,15,16,18,19,20,21,22,23,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,41,2,43,40,52,68,28,17,4,{1,3,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,53,100,41,42,14,5,46,12,4,{1,2,3,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,26,6,4,28,17,23,1,7,78,{2,3,5,8,9,10,11,12,13,14,15,16,18,20,21,22,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,10,8,6,13,32,30,24,51,{2,3,4,5,7,9,11,12,14,16,17,18,19,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,6,32,11,9,47,36,56,24,{1,2,3,5,7,8,10,12,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,73,11,13,27,18,1,12,49,38,{3,4,5,6,7,8,9,10,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,31,3,10,35,24,100,28,1,5,{2,4,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,13,9,22,1,3,57,33,12,24,{4,5,6,7,8,10,11,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,26,7,100,10,6,54,34,28,1,{2,3,4,5,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,6,47,11,8,13,49,27,29,12,{1,2,3,5,7,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,2,5,15,26,16,100,20,7,95,{1,3,4,6,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 8,2,76,5,48,31,54,41,23,24,{1,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,70,3,67,2,9,19,25,31,17,{1,4,5,6,7,8,10,12,13,14,15,16,18,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,8,100,10,34,11,21,17,46,16,{1,2,3,4,5,6,7,9,12,13,14,15,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 28,12,4,1,5,30,47,8,56,26,{2,3,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,11,4,13,20,22,38,5,10,{1,3,6,7,9,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,15,100,53,33,50,21,10,7,93,{1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 3,35,21,14,36,23,10,4,52,28,{1,2,5,6,7,8,9,11,12,13,15,16,17,18,19,20,22,24,25,26,27,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,80,12,28,25,2,20,15,34,13,{1,3,4,5,6,7,8,9,11,14,16,17,18,19,21,22,23,24,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,15,41,22,21,24,6,32,23,1,{2,3,4,5,7,8,9,11,12,13,14,16,17,18,19,20,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,18,85,22,17,3,11,12,33,80,{1,2,4,5,6,7,9,10,13,14,15,16,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,17,31,16,33,5,12,14,29,{1,3,6,7,8,9,10,11,13,15,18,19,20,21,22,23,24,25,26,27,28,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,28,36,16,64,50,97,82,2,8,{3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 9,2,34,26,88,46,1,24,40,17,{3,4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,7,43,46,29,16,24,41,92,6,{1,2,3,4,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 19,43,26,100,13,27,32,30,7,33,{1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,28,29,31,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,100,18,30,3,46,63,33,23,89,{1,2,4,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 61,30,47,31,14,70,20,32,17,6,{1,2,3,4,5,7,8,9,10,11,12,13,15,16,18,19,21,22,23,24,25,26,27,28,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,10,7,29,26,22,34,23,5,3,{1,2,6,8,9,11,12,13,14,15,16,17,18,19,20,21,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,15,6,27,1,14,29,36,24,18,{2,3,4,5,7,8,10,11,12,13,16,17,19,20,21,22,23,25,26,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,19,13,54,3,12,46,7,38,{1,2,4,5,6,9,10,11,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,9,62,31,41,20,24,17,4,38,{1,2,3,5,6,7,8,10,11,12,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,2,10,32,35,75,26,24,63,21,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,25,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,18,14,6,1,66,29,42,100,{3,4,5,7,8,9,10,11,12,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,11,9,38,19,49,96,7,1,32,{2,4,5,6,8,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 4,13,20,46,11,25,30,6,42,45,{1,2,3,5,7,8,9,10,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,9,1,14,15,74,17,35,89,{2,5,6,7,8,10,11,12,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,11,47,100,3,51,12,28,24,{1,2,4,5,6,7,9,10,13,14,15,16,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,42,19,5,10,67,49,100,58,86,{1,2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,100,20,26,7,33,16,52,85,63,{1,2,3,5,6,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,22,36,100,15,2,34,27,18,23,{1,3,4,5,6,7,8,10,11,12,13,14,16,17,19,20,21,24,25,26,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,13,1,100,6,15,27,3,22,25,{2,4,5,7,8,9,10,12,14,16,17,18,19,20,21,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,13,20,100,32,3,12,15,16,7,{1,2,4,5,6,8,9,10,11,14,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,1,10,8,26,5,12,30,80,82,{2,3,4,6,7,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,71,7,44,15,41,25,39,52,4,{1,2,3,5,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,10,27,33,1,23,3,5,50,29,{2,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,44,19,51,16,71,24,59,30,2,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,40,2,36,20,33,24,41,4,{1,3,5,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,34,35,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,38,65,13,11,18,23,25,1,33,{2,3,4,5,6,7,9,10,12,14,15,16,17,19,20,21,22,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,6,61,26,9,76,3,2,58,{1,4,5,7,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,24,1,17,7,34,55,40,56,21,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,40,9,10,70,20,50,34,71,69,{1,2,3,4,5,6,7,8,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,11,20,2,3,7,6,31,18,17,{1,4,5,8,9,10,12,13,14,15,16,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,72,15,8,2,52,46,37,38,4,{1,3,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,27,21,34,96,12,31,24,69,40,{1,2,3,4,5,6,7,8,10,11,13,14,15,16,17,18,19,20,22,23,25,26,28,29,30,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 8,4,79,17,13,31,100,24,38,12,{1,2,3,5,6,7,9,10,11,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,22,10,18,11,44,48,23,17,{1,2,3,4,5,6,7,9,12,13,14,15,16,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,18,20,32,94,51,52,29,89,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,95,96,97,98,99,100}
1: 37,61,1,9,100,87,21,26,97,29,{2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,99}
1: 11,20,8,2,16,21,17,18,1,12,{3,4,5,6,7,9,10,13,14,15,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,27,11,35,51,66,17,50,6,2,{1,3,5,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,12,3,2,21,100,31,39,77,16,{1,5,6,7,8,9,10,11,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,15,8,9,12,100,2,3,11,29,{1,4,5,6,7,10,13,14,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,38,91,100,20,29,37,12,15,13,{1,2,3,4,5,6,7,8,9,10,11,14,16,17,18,19,21,22,23,24,25,26,27,28,30,31,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 6,28,4,11,46,25,3,5,23,17,{1,2,7,8,9,10,12,13,14,15,16,18,19,20,21,22,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,27,11,29,43,34,78,25,17,{1,2,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,26,28,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 59,13,20,14,9,46,2,18,16,29,{1,3,4,5,6,7,8,10,11,12,15,17,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,36,95,96,18,8,75,35,63,{1,3,4,5,6,7,9,10,11,12,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,97,98,99,100}
1: 8,6,37,53,10,1,41,34,16,3,{2,4,5,7,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,44,25,22,10,100,34,21,69,31,{1,2,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,23,24,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,73,63,35,6,23,22,1,75,16,{2,3,4,5,7,9,10,11,12,13,14,15,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,25,47,1,12,40,7,46,56,{2,3,4,5,6,8,9,10,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,37,3,1,43,9,36,20,18,6,{2,4,5,7,8,10,11,12,13,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,7,60,6,2,37,16,21,13,{1,3,4,8,9,10,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,22,2,79,29,15,28,77,39,75,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,1,70,31,19,100,5,14,65,44,{2,3,4,6,7,8,9,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,22,33,3,63,49,1,87,7,{2,4,5,6,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,29,1,49,6,16,3,20,31,68,{2,4,5,8,9,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,13,6,5,7,12,34,32,4,{1,3,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,4,9,6,5,2,13,71,100,15,{1,3,7,8,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,1,36,11,16,4,30,23,2,3,{5,6,7,8,9,10,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,25,1,2,17,22,10,78,74,{3,4,5,6,7,8,9,11,12,13,15,16,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,20,22,28,51,55,75,32,60,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,9,32,10,30,19,27,51,33,16,{1,2,3,5,6,7,8,11,12,13,14,15,17,18,20,21,22,23,24,25,26,28,29,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,97,3,25,70,36,65,17,31,21,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 18,15,2,21,32,12,13,10,16,4,{1,3,5,6,7,8,9,11,14,17,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,85,7,13,11,23,27,4,24,{1,3,5,6,8,9,10,12,14,15,16,17,18,19,20,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,11,9,2,100,21,17,10,12,66,{1,3,4,5,6,7,8,13,14,15,16,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,16,100,13,87,29,34,27,18,12,{1,2,3,4,5,7,8,9,10,11,14,15,17,19,20,21,22,23,24,25,26,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,4,37,1,20,22,16,30,26,28,{2,3,5,6,7,8,9,10,11,12,13,14,17,18,19,21,23,24,25,27,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,42,34,3,5,45,30,28,78,{1,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,35,36,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,12,4,31,52,11,27,25,3,14,{1,2,5,6,7,8,9,10,13,15,16,17,18,19,20,21,22,23,24,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,12,1,16,51,78,81,35,18,85,{3,4,5,6,7,8,9,10,11,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,26,43,10,44,23,14,55,17,{1,3,4,5,6,7,8,9,11,12,13,15,16,18,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,19,5,60,13,31,17,24,35,18,{1,2,3,4,7,8,9,10,11,12,14,15,16,20,21,22,23,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,17,4,14,15,3,20,45,28,69,{1,2,5,6,7,9,10,11,12,13,16,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,11,20,9,32,22,10,24,28,17,{1,2,3,4,5,6,7,8,12,13,14,15,18,19,21,23,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,18,10,16,43,5,40,17,4,7,{1,2,3,8,9,11,12,13,14,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,6,45,21,3,5,12,78,100,{1,2,4,7,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,27,13,6,20,50,72,32,82,40,{1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,20,23,33,26,49,42,44,40,{1,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,24,25,27,28,29,30,31,32,34,35,36,37,38,39,41,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,9,3,10,15,12,100,28,49,92,{1,2,4,5,6,7,8,11,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 8,100,7,53,30,76,40,3,24,52,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,99,15,27,22,34,35,39,1,26,{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,23,24,25,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 3,26,8,9,5,69,27,6,14,21,{1,2,4,7,10,11,12,13,15,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,25,29,36,7,50,21,17,44,{1,2,3,4,5,6,8,10,11,12,13,14,15,16,18,20,22,23,24,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,5,30,26,79,29,63,28,33,{2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,31,95,30,25,34,16,29,40,38,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,26,27,28,32,33,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 4,6,3,100,25,31,29,5,12,27,{1,2,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,5,7,29,31,34,16,51,13,94,{1,2,3,4,6,8,9,10,11,12,14,15,17,18,20,21,22,23,24,25,26,27,28,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 15,2,10,73,32,21,45,17,39,5,{1,3,4,6,7,8,9,11,12,13,14,16,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,10,2,41,21,38,14,7,84,{1,3,5,6,9,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,9,2,25,37,8,53,30,49,51,{1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,14,24,51,3,12,4,17,16,88,{1,2,5,6,7,8,10,11,13,15,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,100,27,6,22,35,39,81,66,{1,2,3,4,5,7,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,67,9,100,79,8,37,2,78,16,{1,3,4,5,6,7,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,8,33,19,53,18,44,23,6,69,{1,2,3,4,5,7,9,10,11,12,13,15,16,17,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,32,6,2,30,29,5,27,23,20,{1,3,4,7,8,9,11,12,13,14,15,16,17,18,19,21,22,24,25,26,28,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,10,51,3,43,2,18,31,48,{1,4,5,6,7,8,9,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,22,27,46,3,12,7,33,44,70,{1,2,4,5,6,8,9,10,11,13,14,15,16,17,19,20,21,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,61,6,100,30,12,46,18,32,{1,3,4,5,7,8,9,10,11,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,15,37,7,23,4,20,69,9,3,{1,2,5,6,8,10,11,12,13,14,16,17,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,12,47,9,100,40,57,39,52,8,{1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,48,49,50,51,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,25,5,9,20,27,60,59,55,51,{1,2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,21,88,5,41,54,24,4,55,35,{1,2,3,6,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,2,3,5,8,19,57,4,15,24,{1,6,7,9,10,11,12,13,14,16,17,18,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,15,47,41,6,5,51,3,42,27,{1,2,4,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,100,41,61,15,2,19,16,13,59,{1,3,4,5,6,7,8,9,10,11,12,14,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,7,15,6,2,3,1,94,59,14,{4,5,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 100,6,37,18,41,8,30,40,14,78,{1,2,3,4,5,7,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,25,1,37,22,3,5,7,29,87,{2,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,10,6,1,3,64,12,33,23,51,{2,4,5,7,8,9,11,13,14,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,22,4,17,8,35,23,21,78,6,{1,2,3,5,7,9,10,11,12,13,14,15,16,18,19,20,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,78,36,5,3,18,49,39,51,23,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,5,26,72,20,7,90,4,24,68,{1,3,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 37,47,15,16,21,12,49,46,17,39,{1,2,3,4,5,6,7,8,9,10,11,13,14,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,51,79,3,20,27,4,60,45,17,{1,2,5,6,7,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,10,49,8,18,13,14,17,59,4,{1,2,3,5,6,7,9,11,12,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,11,13,31,3,30,100,87,24,{1,2,5,7,8,9,10,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,13,76,5,25,15,1,34,7,17,{2,4,6,8,9,10,11,12,14,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,29,34,12,79,63,51,28,5,4,{1,2,3,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,69,95,29,31,15,8,81,10,{1,2,3,4,6,7,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 4,54,21,18,17,52,14,95,43,45,{1,2,3,5,6,7,8,9,10,11,12,13,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 19,29,41,10,17,44,28,49,34,81,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,30,31,32,33,35,36,37,38,39,40,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,20,37,13,5,6,4,56,15,25,{1,2,7,8,9,10,11,12,14,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,2,11,24,10,22,1,16,31,32,{3,4,6,7,8,9,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,10,6,21,13,27,33,7,43,30,{1,2,3,4,5,8,9,11,12,14,15,16,17,18,19,22,23,24,25,26,28,29,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,88,24,2,15,16,25,17,23,31,{1,3,5,6,7,8,9,10,11,12,13,14,18,19,20,21,22,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,5,21,3,64,81,26,51,16,48,{1,2,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,37,1,11,10,26,9,25,24,5,{2,3,4,6,7,8,12,13,14,16,17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,15,8,9,6,16,17,18,4,{1,2,3,5,7,10,11,12,13,14,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,16,10,24,13,20,23,1,30,29,{2,3,4,5,6,7,8,9,11,12,14,17,18,19,21,22,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,41,5,74,26,10,22,34,50,7,{2,3,4,6,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,36,73,1,21,5,20,12,39,96,{2,3,4,7,8,9,10,11,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 2,18,3,61,8,71,14,100,36,63,{1,4,5,6,7,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,9,38,57,8,14,32,4,35,17,{1,2,3,5,6,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,53,19,13,6,20,46,16,49,25,{1,2,3,4,5,7,8,9,10,11,12,15,17,18,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,14,38,52,74,36,99,62,7,1,{2,3,4,5,6,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,15,37,13,33,23,3,60,14,30,{1,2,4,5,6,7,9,10,11,12,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,20,11,63,22,9,27,52,53,17,{1,2,3,4,5,6,7,8,10,12,13,14,15,16,18,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,38,10,7,11,14,20,55,42,{2,3,4,5,6,9,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,30,7,54,28,10,16,23,48,4,{1,2,3,5,6,8,9,12,13,14,15,17,18,19,20,21,22,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,6,19,8,71,39,85,52,78,9,{1,2,3,4,5,7,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,75,5,100,51,43,16,15,19,8,{1,2,3,4,6,7,9,10,11,12,13,14,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,24,6,23,18,1,59,72,64,26,{2,3,4,5,7,8,9,10,11,13,14,15,16,17,19,20,21,22,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,100,15,32,27,2,36,10,6,4,{1,3,5,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,2,20,40,68,38,11,62,7,55,{1,3,4,5,6,8,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,37,7,20,46,10,41,6,75,{1,2,3,5,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,18,31,4,7,22,12,24,62,64,{1,2,3,5,6,8,9,10,11,13,14,15,16,17,19,20,21,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,2,13,27,36,18,28,24,66,38,{1,3,4,5,6,7,8,9,10,11,12,15,16,17,19,20,21,22,23,25,26,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,26,1,31,24,6,61,71,4,56,{2,3,5,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,53,21,31,13,3,9,10,40,16,{2,4,5,6,7,8,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,21,32,3,13,100,29,11,9,12,{1,2,4,5,6,7,10,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,8,22,47,31,28,1,12,24,30,{2,3,4,5,6,7,9,10,11,13,14,15,17,18,19,20,21,23,25,26,27,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,24,53,15,27,2,5,31,23,95,{1,3,4,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 15,14,61,62,25,12,52,68,92,100,{1,2,3,4,5,6,7,8,9,10,11,13,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 2,3,4,100,65,33,24,13,58,40,{1,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,3,52,15,53,68,1,4,71,23,{2,5,6,7,8,9,10,11,12,13,14,16,17,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,31,37,100,20,3,42,30,77,4,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,11,6,8,39,10,87,77,36,12,{1,2,3,4,5,7,9,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,34,21,24,7,1,25,18,16,{2,3,4,5,8,9,10,11,12,13,14,15,17,19,20,22,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,41,23,30,1,89,17,25,20,26,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,22,24,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 10,35,20,57,38,98,24,32,83,71,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 13,9,5,17,22,2,19,34,14,55,{1,3,4,6,7,8,10,11,12,15,16,18,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,10,25,72,100,67,85,94,87,18,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,86,88,89,90,91,92,93,95,96,97,98,99}
1: 19,35,20,34,87,14,26,5,55,43,{1,2,3,4,6,7,8,9,10,11,12,13,15,16,17,18,21,22,23,24,25,27,28,29,30,31,32,33,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,20,65,14,18,31,6,33,16,17,{1,2,3,4,5,7,8,9,10,11,12,13,15,19,21,22,23,24,25,26,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,100,42,50,85,8,55,30,52,5,{1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 17,100,3,54,30,7,73,5,2,24,{1,4,6,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,7,18,25,1,41,4,10,12,69,{2,3,5,6,8,9,11,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,12,100,10,14,94,17,7,16,56,{1,2,3,4,5,6,8,9,13,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 23,41,76,12,34,2,9,37,3,16,{1,4,5,6,7,8,10,11,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,2,18,40,10,47,48,56,38,{3,4,5,6,7,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,20,10,46,17,38,34,3,21,15,{1,2,4,5,6,7,8,9,11,12,13,14,16,18,19,22,23,24,25,26,27,28,29,30,32,33,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,18,14,20,22,67,39,16,48,{1,2,3,4,5,7,8,9,10,11,12,15,17,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,1,57,15,2,7,75,50,65,{3,5,6,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,19,41,11,3,22,87,93,70,{1,2,4,5,6,7,8,9,10,12,14,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,94,95,96,97,98,99,100}
1: 8,10,13,62,21,47,5,7,16,30,{1,2,3,4,6,9,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,8,18,100,12,24,34,33,16,4,{1,2,3,5,6,7,9,11,13,14,15,17,19,20,21,22,23,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,100,31,13,5,35,44,58,60,40,{1,2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,10,6,3,13,24,16,1,7,21,{2,5,8,9,11,12,14,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,9,41,44,7,6,95,3,5,24,{1,2,4,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 2,3,13,16,63,23,71,48,17,72,{1,4,5,6,7,8,9,10,11,12,14,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,19,21,10,33,28,22,15,36,78,{1,2,3,4,5,6,7,8,11,12,13,14,16,17,18,20,23,24,25,26,27,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,34,13,11,25,1,2,39,12,16,{3,4,5,6,7,8,9,10,14,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,15,11,34,100,14,47,92,51,24,{1,2,3,4,5,6,7,8,10,12,13,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 26,13,14,20,35,34,100,61,22,62,{1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,13,6,35,5,3,53,45,62,69,{1,2,4,7,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,3,100,1,24,33,28,29,59,{2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,1,8,7,30,12,24,16,4,57,{2,3,5,6,9,10,11,13,14,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,21,5,43,17,24,6,74,4,25,{2,3,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,22,29,2,9,57,5,10,8,14,{1,3,4,6,7,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,6,15,25,48,3,27,18,1,12,{2,4,5,7,8,9,10,11,13,14,16,17,19,20,21,22,23,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 70,3,7,25,9,11,12,8,32,18,{1,2,4,5,6,10,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,25,3,1,2,9,10,24,83,{4,5,6,7,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,1,36,47,11,12,44,24,5,40,{2,3,4,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,13,3,5,6,40,7,22,2,26,{1,4,8,9,11,12,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,13,10,25,65,32,14,1,18,{2,3,4,6,7,8,9,11,12,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,13,2,20,11,5,26,9,22,82,{1,3,4,6,7,8,10,14,15,16,17,18,19,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,27,5,36,100,29,30,63,17,4,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,28,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,36,23,18,19,3,28,52,5,65,{1,2,4,6,7,8,9,10,11,12,13,14,15,17,20,21,22,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,59,10,21,3,50,46,100,25,{1,2,4,5,7,8,9,11,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,42,5,13,55,1,95,44,9,81,{2,3,4,6,7,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 9,15,51,100,3,11,43,52,57,24,{1,2,4,5,6,7,8,10,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,9,15,1,22,27,45,3,94,16,{2,4,5,6,7,8,10,11,12,13,14,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,7,31,21,11,56,33,12,87,75,{1,2,3,4,5,6,9,10,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,15,5,31,1,32,10,22,16,17,{2,3,4,6,7,8,9,11,12,13,14,18,19,20,21,23,24,25,26,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,43,36,29,52,10,16,65,17,4,{1,2,3,5,6,7,8,9,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,30,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,50,19,11,100,12,26,24,28,30,{1,2,3,4,5,7,8,9,10,13,14,15,16,17,18,20,21,22,23,25,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 56,35,100,3,5,15,93,29,32,9,{1,2,4,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 18,13,9,72,8,47,20,75,23,17,{1,2,3,4,5,6,7,10,11,12,14,15,16,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,23,18,34,6,21,40,76,58,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,41,3,47,9,37,14,2,1,{4,5,6,7,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,6,66,19,16,38,67,1,43,{2,3,4,5,7,8,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,10,22,21,51,29,11,33,1,98,{2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 14,4,6,59,22,33,42,18,3,30,{1,2,5,7,8,9,10,11,12,13,15,16,17,19,20,21,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,25,2,11,12,24,15,100,5,23,{1,3,4,6,7,8,9,10,13,14,16,17,18,19,20,21,22,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,2,5,50,69,16,6,35,62,59,{1,3,4,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,15,2,9,6,37,58,4,3,16,{1,5,7,8,10,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,37,9,1,38,46,7,33,40,27,{2,3,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,18,91,31,7,13,11,16,65,24,{1,2,3,4,5,6,8,9,10,12,14,15,17,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,37,9,18,10,15,31,51,1,66,{3,4,5,6,7,8,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,20,46,12,26,49,17,85,35,4,{1,2,3,5,7,8,9,10,11,13,14,15,16,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,14,18,31,30,35,16,24,43,28,{1,3,4,5,6,7,8,9,10,11,12,13,15,17,19,20,21,22,23,25,26,27,29,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,7,100,3,10,33,13,6,91,12,{1,2,4,5,8,9,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 8,21,54,57,30,26,12,24,14,93,{1,2,3,4,5,6,7,9,10,11,13,15,16,17,18,19,20,22,23,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 61,1,36,9,2,16,5,15,24,63,{3,4,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,100,7,2,16,11,10,24,3,17,{1,5,6,8,9,12,13,14,15,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 29,13,8,23,31,27,4,55,24,10,{1,2,3,5,6,7,9,11,12,14,15,16,17,18,19,20,21,22,25,26,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,34,57,87,30,49,51,5,58,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,2,7,58,15,6,28,34,16,{3,4,5,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,100,5,8,33,24,23,13,17,{1,2,3,4,6,7,9,11,12,14,15,16,18,19,20,21,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 73,24,7,61,28,100,56,40,3,30,{1,2,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,2,34,52,66,12,7,100,23,29,{1,3,4,5,6,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,64,47,5,11,35,12,100,17,23,{1,2,3,4,6,7,8,9,10,13,14,15,16,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,13,1,33,35,36,46,67,43,7,{2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,7,10,3,5,42,8,21,6,{1,2,4,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,5,73,72,10,34,86,28,81,51,{1,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,76,77,78,79,80,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,6,3,38,32,8,11,59,85,17,{1,2,4,5,7,9,10,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,50,10,51,1,39,19,13,18,86,{2,3,4,5,6,7,8,9,12,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,14,23,25,2,31,81,13,7,43,{1,3,5,6,8,9,10,11,12,15,16,17,18,19,20,21,22,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,12,14,15,7,26,13,5,40,{1,2,3,4,6,9,11,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,46,12,30,67,45,13,18,31,{1,2,3,4,5,6,7,9,10,11,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,12,15,5,45,6,30,48,4,38,{1,2,3,7,8,9,11,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,13,2,20,64,57,17,38,3,45,{1,4,5,6,7,8,9,10,11,12,14,15,16,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,4,13,17,15,34,18,39,3,7,{1,2,5,6,8,9,10,11,12,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,19,17,1,3,2,37,60,8,27,{4,5,6,7,9,10,12,13,14,15,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,27,9,2,50,100,21,12,28,18,{1,4,5,6,7,8,10,11,13,14,15,16,17,19,20,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,21,10,17,12,5,20,22,28,48,{1,2,3,4,6,7,8,9,11,13,14,15,16,18,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,4,7,13,5,23,72,18,78,100,{1,2,3,6,8,9,10,11,12,14,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,15,20,95,28,31,100,64,78,5,{1,2,3,4,6,7,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 38,48,7,3,29,21,24,68,23,64,{1,2,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,2,100,38,6,4,33,52,23,74,{1,3,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,11,20,6,100,43,38,26,24,36,{1,2,3,4,5,7,8,9,10,12,14,15,16,17,18,19,21,22,23,25,27,28,29,30,31,32,33,34,35,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,9,11,10,50,30,29,77,58,{1,2,3,4,5,6,7,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,27,10,21,18,23,77,22,16,29,{1,2,3,4,5,6,7,8,9,12,13,14,15,17,19,20,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,29,51,20,49,100,22,78,1,4,{2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,4,2,61,88,21,34,55,18,23,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,2,39,36,22,30,5,10,8,12,{1,3,4,6,7,9,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,31,2,33,12,78,28,5,3,90,{1,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 25,51,18,9,26,12,100,5,16,17,{1,2,3,4,6,7,8,10,11,13,14,15,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,13,2,31,7,14,72,71,93,43,{1,3,4,5,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 13,11,22,42,60,3,51,4,94,92,{1,2,5,6,7,8,9,10,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,95,96,97,98,99,100}
1: 14,1,64,24,92,42,18,15,43,40,{2,3,4,5,6,7,8,9,10,11,12,13,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 76,33,5,9,47,73,38,16,52,80,{1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,15,8,76,3,23,14,24,6,93,{1,2,4,5,7,10,11,12,13,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 11,61,25,29,56,21,32,4,59,13,{1,2,3,5,6,7,8,9,10,12,14,15,16,17,18,19,20,22,23,24,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,38,10,57,9,2,16,29,5,3,{1,4,6,7,8,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,55,50,87,6,41,100,9,38,{1,2,4,5,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 71,2,25,14,5,39,12,60,35,38,{1,3,4,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,9,51,2,100,16,3,26,29,34,{1,4,5,6,7,8,10,11,12,13,15,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,10,36,62,23,50,99,3,86,17,{1,2,4,5,6,7,8,9,11,12,13,14,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 41,9,3,51,2,33,57,20,1,13,{4,5,6,7,8,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,8,4,29,34,17,11,14,27,{1,2,3,5,6,7,10,12,13,15,16,18,19,20,21,22,23,24,25,26,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,11,20,30,57,21,18,5,40,90,{1,2,3,6,7,8,9,10,12,13,14,15,16,17,19,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 4,18,48,1,29,47,3,14,12,17,{2,5,6,7,8,9,10,11,13,15,16,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,15,8,20,21,18,26,60,71,29,{1,2,3,5,6,7,9,10,11,12,13,14,16,17,19,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,9,3,63,42,40,72,30,4,84,{1,2,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,6,14,33,16,3,5,21,7,23,{1,2,4,8,9,10,11,12,13,15,17,18,19,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,5,11,1,12,18,49,15,51,69,{2,3,4,6,7,8,9,10,13,14,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,31,22,50,15,90,58,42,99,27,{1,2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,100}
1: 1,4,20,59,40,19,3,17,45,12,{2,5,6,7,8,9,10,11,13,14,15,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,1,62,100,28,15,10,38,18,27,{2,3,4,5,6,7,8,9,11,12,13,14,16,17,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 62,13,21,23,39,12,4,67,49,56,{1,2,3,5,6,7,8,9,10,11,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,7,25,8,21,51,28,23,92,18,{1,2,3,4,5,6,9,10,11,12,13,14,16,17,19,20,22,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 27,11,8,31,100,17,16,38,70,33,{1,2,3,4,5,6,7,9,10,12,13,14,15,18,19,20,21,22,23,24,25,26,28,29,30,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,1,3,37,100,11,33,21,23,30,{2,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,24,26,27,28,29,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,36,11,3,2,18,7,45,80,81,{1,4,5,6,8,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,32,24,15,19,16,35,80,4,8,{1,2,3,5,6,7,9,10,11,12,13,14,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,38,6,45,10,62,11,14,36,{1,3,4,5,7,8,9,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,61,27,24,30,5,17,14,19,8,{1,2,3,4,6,7,9,10,11,12,13,15,16,18,20,21,23,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,14,20,7,26,6,50,23,25,54,{1,2,3,5,8,9,10,11,12,13,15,16,17,18,19,21,22,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,30,75,26,5,100,64,83,10,68,{2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,51,72,100,8,59,65,42,41,3,{1,2,4,5,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,15,25,3,48,5,70,7,21,91,{1,4,6,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 3,5,6,100,36,23,15,16,25,35,{1,2,4,7,8,9,10,11,12,13,14,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,9,19,3,11,77,14,59,12,6,{2,4,5,7,8,10,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,19,8,76,32,31,18,25,7,23,{1,2,3,4,5,6,9,11,12,13,14,15,16,17,20,21,22,24,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,26,100,10,17,45,8,5,49,74,{1,2,3,4,6,7,9,11,12,13,14,15,16,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,20,46,1,5,10,25,38,7,78,{2,3,6,8,9,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,5,27,13,6,30,49,40,12,38,{1,2,3,4,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,2,24,28,27,48,50,32,7,{1,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,24,2,20,5,23,26,70,43,7,{1,3,4,6,8,9,10,11,12,13,14,15,16,17,18,21,22,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,10,36,26,44,12,11,39,49,{1,2,3,4,5,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,100,36,8,16,3,60,34,62,{2,4,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,10,15,21,23,89,37,26,6,12,{1,2,3,4,5,7,8,9,11,13,14,16,17,18,19,20,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 21,17,51,64,31,59,4,10,49,33,{1,2,3,5,6,7,8,9,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,7,29,39,89,44,19,56,16,35,{1,2,4,5,6,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,78,31,50,46,25,12,39,17,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,12,11,3,36,1,4,26,61,32,{2,5,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,76,8,17,70,39,18,9,52,64,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,20,2,100,71,11,17,67,25,7,{1,3,4,5,8,9,10,12,13,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,22,100,26,11,67,1,28,42,89,{2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 11,14,62,33,7,16,17,1,6,4,{2,3,5,8,9,10,12,13,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,24,52,14,10,13,4,6,26,43,{1,2,3,5,7,8,9,11,12,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,14,7,100,24,9,10,23,4,{1,2,3,5,6,8,12,13,15,16,17,18,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,9,7,3,46,27,29,40,4,38,{1,2,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,30,31,32,33,34,35,36,37,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,100,26,10,33,71,7,29,64,{1,2,3,5,6,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,20,14,19,2,47,31,39,43,32,{1,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,21,23,24,25,26,27,28,29,30,33,34,35,36,37,38,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,29,25,20,9,30,15,13,24,4,{1,2,3,6,7,8,10,11,12,14,16,17,18,19,21,22,23,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,32,17,14,5,10,16,64,28,{1,3,4,6,7,8,9,12,13,15,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,14,4,11,1,15,16,52,38,{3,5,6,7,8,9,10,12,13,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,47,26,16,12,51,100,3,15,{1,4,5,6,7,8,9,10,11,13,14,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,10,17,51,1,31,32,34,18,29,{2,3,4,5,6,7,8,9,11,13,14,15,16,19,20,21,22,23,24,25,26,27,28,30,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,13,76,59,4,11,17,21,3,45,{2,5,6,7,8,9,10,12,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,4,1,21,16,34,7,42,46,25,{2,3,5,6,8,9,10,11,12,13,14,15,17,18,19,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,6,19,8,7,27,17,76,50,59,{1,2,3,4,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,21,19,38,5,3,4,36,33,88,{2,6,7,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,1,35,49,4,9,31,56,18,6,{2,3,5,7,8,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,7,11,56,6,21,3,27,12,14,{1,4,5,8,9,10,13,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,21,18,100,8,7,54,25,15,38,{1,2,3,4,5,6,9,10,11,12,13,14,16,17,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,19,9,3,100,5,43,30,14,44,{1,2,4,6,7,8,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,21,62,34,27,15,43,12,100,99,{1,2,3,4,5,6,7,8,9,10,13,14,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 76,37,61,100,17,29,38,80,25,8,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,26,69,5,30,18,70,1,14,17,{3,4,6,7,8,9,10,11,12,13,15,16,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,10,27,20,41,7,30,47,74,56,{1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,17,8,36,11,30,20,9,41,13,{1,2,3,4,5,6,7,10,12,14,16,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,2,27,31,47,44,9,48,36,14,{1,3,4,5,6,7,8,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,37,38,39,40,41,42,43,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,22,15,100,4,52,10,85,51,74,{1,2,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,8,12,28,43,11,50,45,16,100,{1,2,3,5,6,7,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,26,100,5,39,15,50,17,6,14,{1,2,3,4,7,8,9,10,11,12,13,16,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,29,32,34,23,27,2,49,64,4,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,15,3,5,61,8,45,67,43,78,{1,2,4,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,53,25,21,40,7,12,42,49,4,{1,2,3,5,6,8,9,10,11,13,14,15,16,17,18,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,4,24,28,13,3,100,29,1,7,{2,5,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,3,71,39,10,15,50,29,27,41,{1,2,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,37,38,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,9,3,36,39,98,7,82,33,59,{1,2,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 1,11,7,16,95,69,14,42,30,52,{2,3,4,5,6,8,9,10,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,9,53,7,28,51,45,40,36,16,{1,2,3,4,5,6,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,41,42,43,44,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,14,100,30,27,55,39,9,56,74,{2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,14,2,16,10,11,33,73,13,23,{1,3,4,6,7,8,9,12,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,16,10,8,100,36,3,22,87,{1,2,5,7,9,11,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,6,100,9,15,12,61,42,18,94,{2,3,4,5,7,8,10,11,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 4,48,28,43,1,9,13,42,26,100,{2,3,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,16,4,100,11,22,26,32,44,18,{2,3,5,6,7,8,9,10,12,13,14,15,17,19,20,21,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,4,2,18,24,56,16,5,59,23,{1,3,6,7,8,9,10,11,12,13,14,15,17,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,11,15,100,6,43,67,63,31,17,{1,2,3,4,5,7,8,9,10,12,13,14,16,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,2,5,9,48,100,11,65,25,81,{1,3,4,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,6,53,11,2,76,10,18,41,44,{1,3,4,5,7,8,9,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,9,36,46,30,83,29,21,62,{2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,70,22,11,36,12,23,29,32,24,{1,2,3,4,5,6,7,8,9,10,13,15,16,17,18,19,20,21,25,26,27,28,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,100,22,1,7,83,48,12,38,{3,4,5,6,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,15,18,11,6,75,14,24,56,{1,2,3,4,5,7,9,10,12,13,16,17,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,47,10,45,51,29,6,92,70,16,{1,2,3,4,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 1,7,13,31,2,84,36,60,85,30,{3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,43,15,21,5,16,85,44,28,55,{2,3,4,6,7,8,9,10,11,12,13,14,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,8,11,61,9,17,38,12,24,33,{1,2,3,4,5,6,7,10,13,14,15,16,18,19,20,22,23,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,100,2,22,26,21,33,35,38,{1,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,23,24,25,27,28,29,30,31,32,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,11,2,7,31,5,25,55,1,34,{3,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,22,28,52,31,100,2,80,74,30,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,2,100,3,20,30,23,21,25,51,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,22,10,13,4,20,46,38,52,66,{1,2,3,5,6,7,9,11,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,2,15,25,6,88,84,14,3,69,{1,4,5,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,35,36,16,21,34,100,71,14,7,{1,2,3,5,6,8,9,10,11,12,13,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,6,10,21,34,5,25,7,100,1,{2,3,4,8,9,11,12,13,14,15,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,15,2,12,24,31,23,40,6,59,{1,3,4,5,7,8,9,10,13,14,16,17,18,19,20,21,22,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,12,4,13,3,7,1,8,24,74,{2,5,6,10,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,25,100,1,3,6,16,5,30,17,{2,4,7,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,37,14,49,44,20,42,26,100,1,{2,3,5,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,11,1,10,43,35,19,9,63,21,{2,3,4,5,6,7,8,12,13,14,15,16,17,18,20,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,29,100,8,41,28,1,6,51,32,{2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,53,15,26,6,31,10,100,5,17,{1,2,3,4,7,8,9,11,12,13,14,16,18,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,9,7,14,8,17,21,43,20,25,{1,3,4,5,6,10,11,12,13,15,16,18,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,5,3,100,76,46,64,85,13,{2,4,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,62,22,5,19,18,29,15,4,6,{1,2,3,7,8,9,10,11,12,13,16,17,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,13,23,85,76,28,1,17,7,{4,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,20,10,11,7,41,4,22,24,74,{1,2,3,5,6,8,9,12,13,14,15,16,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,15,34,54,18,20,33,31,59,56,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,21,22,23,24,25,26,28,29,30,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 40,71,47,15,5,14,35,21,2,8,{1,3,4,6,7,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,26,5,3,14,31,21,12,65,39,{1,2,4,6,7,8,9,10,11,13,15,16,17,18,19,20,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,14,12,47,15,53,11,3,23,36,{1,2,4,5,6,7,8,9,13,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,54,10,8,23,18,2,16,5,4,{1,3,6,9,11,12,13,14,15,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,13,1,6,25,46,74,56,55,{3,4,5,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,20,17,27,57,1,15,43,16,93,{2,3,4,5,6,7,8,9,10,12,13,14,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 8,2,18,6,5,27,20,11,64,88,{1,3,4,7,9,10,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 59,41,9,10,100,14,5,18,58,29,{1,2,3,4,6,7,8,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,1,2,88,57,23,100,56,38,58,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 1,22,21,26,2,50,7,10,8,13,{3,4,5,6,9,11,12,14,15,16,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,9,1,13,27,7,29,54,41,33,{2,3,4,5,6,8,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,2,49,30,3,92,79,17,65,4,{1,5,6,7,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 8,9,12,3,47,42,100,50,38,23,{1,2,4,5,6,7,10,11,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,61,2,20,7,18,5,42,14,35,{1,3,4,6,8,9,11,12,13,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,96,34,37,46,54,47,100,29,24,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,35,36,38,39,40,41,42,43,44,45,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 8,19,9,1,6,22,50,3,30,52,{2,4,5,7,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,41,8,46,63,23,7,68,18,1,{2,3,4,5,6,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,6,54,4,76,2,12,100,82,39,{1,3,5,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,14,27,96,16,5,44,100,69,7,{1,2,3,4,6,8,9,10,11,12,13,15,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 23,28,6,45,16,14,9,20,58,5,{1,2,3,4,7,8,10,11,12,13,15,17,18,19,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,20,13,8,2,26,1,52,90,16,{4,5,6,7,9,10,11,12,14,15,17,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 6,9,8,22,25,51,7,17,59,29,{1,2,3,4,5,10,11,12,13,14,15,16,18,19,20,21,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,15,39,10,1,24,5,30,26,{2,3,4,6,7,8,9,12,13,14,16,17,18,19,20,21,22,23,25,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,4,6,64,47,39,17,16,38,68,{1,2,3,5,7,8,9,10,11,12,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,21,10,6,45,100,49,29,2,59,{1,3,4,5,7,8,9,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,27,9,6,3,64,100,41,69,33,{1,2,4,5,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,7,46,27,79,16,40,17,37,8,{1,3,4,5,6,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,14,57,29,3,5,34,78,13,60,{1,2,4,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,25,12,49,6,36,76,22,27,23,{1,2,3,4,5,8,9,10,11,13,14,15,16,17,18,19,20,21,24,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,7,70,3,100,11,27,14,15,23,{1,4,5,6,8,9,10,12,13,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,11,60,15,7,1,33,89,5,25,{2,3,4,6,8,9,10,12,13,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 12,5,11,24,59,7,10,1,41,21,{2,3,4,6,8,9,13,14,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,7,11,20,51,33,40,50,35,4,{1,2,3,5,6,8,9,10,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,13,33,3,9,19,10,30,16,24,{1,2,4,5,6,7,8,11,12,14,15,17,18,20,21,22,23,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,2,30,43,26,5,11,23,27,13,{1,4,6,7,8,9,10,12,14,15,16,17,18,19,20,21,22,24,25,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,19,11,47,71,10,9,57,5,{1,2,3,7,8,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,62,29,21,5,44,6,12,52,{1,3,4,7,8,9,10,11,13,14,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,45,100,12,33,22,2,21,23,59,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,9,49,30,5,37,12,3,59,29,{1,2,4,6,7,8,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,12,28,26,70,42,50,46,100,40,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,79,46,44,2,5,28,42,51,99,{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 100,35,59,15,57,94,86,10,1,23,{2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,95,96,97,98,99}
1: 11,61,36,14,34,41,21,57,35,59,{1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,47,71,10,65,4,14,5,24,{1,2,3,6,7,9,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,55,33,30,1,3,2,100,44,{5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,14,27,12,3,50,28,33,80,100,{1,2,4,5,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,9,39,43,26,21,55,3,20,22,{1,2,4,5,6,7,8,10,12,13,14,15,16,17,18,19,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,9,10,5,28,36,73,25,66,14,{1,2,3,4,6,7,8,11,12,13,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,29,14,42,16,35,9,17,2,{3,5,6,7,8,10,11,12,13,15,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,15,100,26,20,22,30,44,28,33,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,21,23,24,25,29,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,12,8,14,100,28,27,31,34,60,{1,2,3,4,5,6,7,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,2,18,10,23,52,85,3,30,28,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,6,20,33,54,66,14,32,3,49,{1,2,4,5,7,8,9,10,11,12,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,33,11,100,9,30,35,6,3,29,{1,2,5,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,4,11,17,76,29,46,40,33,12,{1,2,5,6,7,8,9,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,37,10,22,14,62,12,30,17,1,{2,4,5,6,7,8,9,11,13,15,16,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,15,2,13,10,57,14,78,97,{3,4,5,7,8,9,11,12,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,37,38,15,7,48,10,3,12,42,{1,2,4,5,6,8,9,11,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,36,20,10,47,2,60,31,4,58,{1,3,5,6,7,8,9,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,37,5,15,3,52,17,60,29,42,{1,2,4,6,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,76,14,12,28,17,52,35,25,6,{1,2,3,4,5,7,8,9,10,11,13,15,16,18,19,20,21,22,23,24,26,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,100,2,19,32,25,16,23,18,12,{1,3,4,5,6,7,8,9,10,11,13,14,15,17,21,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,5,22,17,26,14,62,36,29,4,{1,2,3,6,7,8,10,11,12,13,15,16,18,19,20,21,23,24,25,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,7,100,2,57,18,39,34,35,59,{1,3,4,5,6,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 62,15,9,100,17,11,88,43,18,4,{1,2,3,5,6,7,8,10,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,9,14,1,62,33,25,50,42,{2,3,4,5,6,7,8,11,12,13,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,79,47,1,70,7,31,21,76,6,{2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,12,2,24,52,1,28,18,49,96,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 20,22,13,8,39,29,10,15,16,75,{1,2,3,4,5,6,7,9,11,12,14,17,18,19,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,7,44,6,20,8,75,77,17,64,{1,2,3,4,5,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,14,68,16,1,27,31,32,37,61,{2,3,4,5,6,7,8,9,10,11,12,15,17,18,19,20,21,22,23,24,25,26,28,29,30,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,15,37,100,96,10,63,28,4,35,{1,2,3,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 22,19,8,31,6,3,26,78,67,1,{2,4,5,7,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,41,13,32,10,51,2,26,39,58,{1,3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,29,44,20,25,18,23,12,66,35,{1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,19,21,22,24,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,4,6,13,30,54,100,45,17,52,{1,2,3,5,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,57,3,32,58,44,15,100,75,{1,4,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,20,15,51,17,45,71,13,7,1,{2,3,4,5,6,8,9,11,12,14,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,6,9,100,34,3,21,26,7,{2,4,5,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,11,30,21,6,16,91,22,70,38,{2,3,4,5,7,8,9,10,12,13,14,15,17,18,19,20,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 9,7,23,15,65,39,12,24,16,6,{1,2,3,4,5,8,10,11,13,14,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,26,20,13,22,5,34,1,30,14,{2,3,6,7,8,9,10,11,12,15,16,17,18,19,21,23,24,25,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,46,79,18,26,17,8,31,66,55,{1,2,3,4,5,6,7,9,10,11,12,13,15,16,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,8,25,39,64,24,46,97,4,35,{1,2,3,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 1,9,16,3,17,77,33,31,43,40,{2,4,5,6,7,8,10,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,100,11,53,20,1,10,14,13,17,{2,3,4,5,6,8,9,12,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,79,1,7,76,14,26,6,24,18,{2,3,4,5,8,9,10,11,12,13,15,16,17,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,37,43,7,45,56,35,86,12,{2,3,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,64,61,26,100,50,32,35,29,5,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,41,31,15,53,18,14,49,6,39,{1,2,4,5,7,8,9,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,29,10,32,27,13,40,14,51,{2,3,4,5,6,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,20,3,56,29,39,41,14,17,10,{1,2,4,5,6,7,8,9,11,12,13,15,16,18,19,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,14,27,18,25,7,100,60,56,6,{1,3,4,5,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,100,1,15,10,31,8,14,87,9,{2,3,4,5,6,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,13,18,21,30,15,29,72,74,4,{1,2,3,5,6,7,9,10,11,12,14,16,17,19,20,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,1,40,11,23,5,47,21,9,49,{2,3,4,6,7,8,10,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,39,27,46,43,10,24,40,38,58,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,45,26,22,17,32,6,11,12,100,{1,2,3,4,5,7,8,9,10,13,14,15,16,18,19,20,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,3,22,7,5,6,23,92,59,4,{1,2,8,9,10,11,12,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 1,68,48,47,31,54,13,8,19,61,{2,3,4,5,6,7,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,61,11,16,40,50,17,46,7,41,{2,3,4,5,6,8,9,10,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,15,8,12,96,46,45,70,58,{1,2,3,4,5,6,7,9,10,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 4,31,13,22,100,45,90,74,33,12,{1,2,3,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 8,2,17,13,18,1,35,21,32,50,{3,4,5,6,7,9,10,11,12,14,15,16,19,20,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,14,21,28,24,11,16,71,93,{1,3,4,5,6,7,8,9,10,12,13,15,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 2,53,29,89,79,18,34,11,16,51,{1,3,4,5,6,7,8,9,10,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 12,36,34,2,23,54,19,100,37,42,{1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,35,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,6,2,41,13,1,72,5,24,81,{3,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,21,27,1,10,7,59,14,6,49,{2,3,5,8,9,11,12,13,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,17,5,16,27,3,25,26,14,2,{1,4,6,7,8,9,10,11,12,13,15,18,19,20,21,22,23,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,21,34,79,10,32,3,43,27,93,{1,2,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 19,100,13,3,35,28,78,58,38,61,{1,2,4,5,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,31,10,57,4,34,80,7,100,12,{1,2,3,5,6,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,6,41,30,39,24,4,3,78,17,{1,2,5,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,65,13,27,18,91,26,24,7,28,{1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,20,21,22,23,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 2,8,34,10,31,66,3,36,29,74,{1,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,20,3,6,73,100,1,35,30,{2,4,5,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,2,3,22,53,55,77,7,23,39,{1,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,6,3,4,8,19,20,11,27,23,{1,2,5,7,9,12,13,14,15,16,17,18,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,14,21,3,9,5,1,28,12,7,{2,4,6,8,10,11,13,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,24,12,22,19,16,13,77,25,42,{1,2,3,5,6,7,8,9,10,11,14,15,17,18,20,21,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,1,3,5,28,35,27,94,16,48,{2,4,6,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 16,35,75,15,18,69,11,2,49,42,{1,3,4,5,6,7,8,9,10,12,13,14,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,9,18,5,53,39,12,43,90,{1,2,3,7,8,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 4,19,13,11,100,6,14,32,1,51,{2,3,5,7,8,9,10,12,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,9,12,62,4,15,8,5,43,92,{1,2,3,6,7,10,11,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 10,30,39,1,28,5,12,8,26,7,{2,3,4,6,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,37,2,13,5,4,17,93,28,{3,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 11,9,100,49,64,23,34,21,60,33,{1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,13,3,5,9,31,60,69,28,{1,4,6,7,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,26,29,73,20,18,14,44,47,{1,2,3,5,6,7,8,9,10,11,12,15,16,17,19,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,4,40,75,1,21,2,20,72,17,{3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,6,20,15,26,13,74,44,42,{1,2,3,4,5,7,9,10,11,12,14,16,17,18,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,11,79,54,21,13,20,63,33,{1,3,4,5,6,7,8,10,12,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,1,12,26,24,41,25,58,16,40,{2,3,4,5,6,7,8,9,10,11,13,14,17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,22,11,1,18,5,78,38,17,{2,3,4,6,7,9,10,12,13,14,16,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,53,41,7,23,28,22,18,29,6,{1,2,3,4,5,8,9,10,11,12,14,15,16,17,19,20,21,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,3,96,39,33,100,7,30,17,{1,2,4,5,6,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 47,22,14,25,24,31,48,5,17,16,{1,2,3,4,6,7,8,9,10,11,12,13,15,18,19,20,21,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,6,32,9,88,72,17,14,29,77,{1,2,3,4,5,7,8,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,19,3,30,16,8,1,25,9,{4,5,6,7,10,11,12,13,14,15,17,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,18,21,100,40,63,58,24,14,17,{2,3,4,5,6,7,8,9,10,11,12,13,15,16,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,33,3,9,6,7,61,23,11,48,{1,2,4,5,8,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,6,7,4,13,14,16,12,33,45,{1,2,3,5,8,9,10,11,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,20,8,35,9,4,16,56,3,18,{1,2,5,7,10,11,12,13,14,15,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,100,9,11,22,35,27,57,12,{3,4,5,6,7,8,10,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,41,12,17,38,16,22,6,13,72,{1,2,3,4,5,7,8,10,11,14,15,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,78,79,5,23,26,16,18,12,21,{1,2,3,4,6,8,9,10,11,13,14,15,17,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,100,15,1,22,5,55,24,7,{2,3,4,6,9,10,11,12,13,14,16,17,18,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,11,61,57,5,33,12,51,52,24,{1,3,4,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,27,19,66,20,5,26,74,2,{1,3,6,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,2,25,50,31,20,23,67,18,{3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,15,63,7,16,27,81,3,2,49,{1,4,5,6,8,9,10,11,13,14,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,37,2,1,3,31,26,5,41,32,{4,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,37,75,57,98,25,18,23,3,17,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 4,36,20,47,16,27,28,14,5,77,{1,2,3,6,7,8,9,10,11,12,13,15,17,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,15,2,8,21,37,14,34,49,90,{1,4,5,6,7,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 20,4,6,100,5,1,34,22,47,58,{2,3,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,72,25,66,11,15,17,20,19,13,{1,2,3,4,5,6,7,8,9,12,14,16,18,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,28,2,100,17,39,44,7,30,56,{1,3,4,5,6,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,12,26,4,22,5,7,13,54,39,{1,2,3,6,8,9,11,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 75,6,30,100,9,33,13,2,34,27,{1,3,4,5,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,8,11,100,15,24,47,7,29,38,{1,2,3,4,5,6,9,10,13,14,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,41,66,1,2,38,29,16,17,35,{3,4,5,6,7,8,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,6,47,22,10,13,20,11,98,25,{1,2,3,4,7,8,9,12,14,15,16,17,18,19,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 15,27,18,5,14,9,7,20,33,12,{1,2,3,4,6,8,10,11,13,16,17,19,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,100,22,11,14,10,18,7,12,{1,4,5,6,8,9,13,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 48,16,10,8,2,11,18,34,12,4,{1,3,5,6,7,9,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,19,21,10,1,20,3,4,39,12,{2,5,6,8,9,11,13,14,15,16,17,18,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,16,19,21,12,2,33,11,48,{1,3,5,7,8,9,10,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,3,100,2,13,14,12,47,22,59,{1,4,5,6,8,9,10,11,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,10,1,18,89,5,3,57,29,7,{4,6,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 56,5,13,48,21,33,25,28,23,17,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,18,19,20,22,24,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,9,100,50,64,5,14,38,7,{1,3,4,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 48,61,41,8,12,6,35,13,54,32,{1,2,3,4,5,7,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,10,76,29,69,6,30,17,97,18,{1,2,3,4,5,7,8,9,11,12,13,14,15,16,19,20,21,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 6,53,100,25,14,26,22,31,5,45,{1,2,3,4,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,26,5,7,15,47,21,28,36,23,{1,2,3,4,6,9,10,11,12,13,14,16,17,18,19,20,22,24,25,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,21,6,10,19,55,7,70,50,3,{1,2,4,5,8,9,11,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,100,9,29,34,22,25,3,51,{1,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,23,24,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,53,25,1,23,7,3,13,21,91,{2,4,5,6,8,10,11,12,14,15,16,17,18,19,20,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,30,38,100,34,2,75,16,23,54,{1,3,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 23,5,30,26,32,34,9,11,100,4,{1,2,3,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,24,25,27,28,29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,100,9,14,46,20,21,55,17,23,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,18,19,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,11,100,18,5,21,24,33,30,26,{2,3,4,6,7,8,9,10,12,13,14,15,16,17,19,20,22,23,25,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,21,4,2,13,44,10,36,59,92,{1,3,5,6,7,8,9,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 22,6,20,28,40,21,67,45,5,75,{1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,66,10,63,16,12,64,43,6,14,{1,2,3,4,5,7,8,9,11,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,10,8,14,9,25,7,30,93,{1,2,3,5,6,11,12,13,15,16,17,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 25,15,47,18,62,31,24,72,33,56,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,13,44,17,65,59,45,29,100,{1,2,3,4,5,6,7,8,9,10,11,12,15,16,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,15,41,26,7,5,29,35,39,51,{1,2,3,4,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,36,37,38,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,32,21,6,19,25,61,5,16,17,{1,2,3,4,7,8,9,10,11,12,13,14,15,18,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,100,20,34,9,41,39,30,78,{3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 28,21,36,32,31,35,25,12,45,6,{1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,26,27,29,30,33,34,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,4,19,3,11,10,42,17,15,14,{1,2,5,6,7,8,9,12,13,16,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,1,8,36,78,14,11,27,46,52,{2,3,4,5,6,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,48,49,13,36,27,29,12,9,{1,3,4,5,6,7,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,100,2,3,26,37,5,30,16,90,{1,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 8,27,39,47,3,10,94,100,24,2,{1,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 8,19,36,1,16,13,7,9,23,69,{2,3,4,5,6,10,11,12,14,15,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,22,72,3,13,20,21,2,19,12,{1,4,5,6,7,8,9,10,11,14,15,16,17,18,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,34,26,47,1,14,38,17,24,{2,3,5,6,7,9,10,11,12,13,15,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,3,5,40,36,37,16,18,9,23,{1,2,4,6,7,8,10,11,12,13,14,15,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,26,19,7,25,11,1,14,54,16,{2,3,4,5,6,9,10,12,13,15,17,18,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,6,5,21,20,17,42,59,52,12,{1,2,3,4,7,8,9,10,11,13,14,15,16,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,1,7,2,10,12,36,100,48,6,{3,4,5,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,100,9,2,20,32,5,30,59,{1,3,4,6,7,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,10,49,44,9,3,26,22,18,40,{1,2,4,5,6,7,8,11,12,13,14,15,16,17,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 66,6,10,21,73,62,49,28,41,24,{1,2,3,4,5,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,67,21,16,20,3,7,42,29,44,{1,2,4,5,6,9,10,11,12,13,14,15,17,18,19,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,45,3,20,27,34,8,43,4,58,{1,2,5,6,7,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,10,3,2,11,17,7,68,45,70,{1,4,5,6,8,9,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,3,11,29,23,17,32,49,7,{1,2,4,5,6,8,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,9,100,22,21,18,23,5,65,40,{1,2,3,4,6,7,8,10,11,12,13,14,16,17,19,20,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,64,37,57,8,1,17,70,10,28,{2,3,4,5,6,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,34,53,20,11,16,42,1,9,{2,3,4,5,6,7,10,12,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,15,11,13,84,17,60,38,94,{1,3,4,5,6,7,8,9,10,12,14,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 19,56,14,23,16,3,15,57,5,24,{1,2,4,6,7,8,9,10,11,12,13,17,18,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,25,1,26,9,3,23,18,59,49,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,19,20,21,22,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,17,5,18,50,55,44,29,42,{2,3,4,6,7,8,9,10,11,12,14,15,16,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 63,42,60,29,75,22,4,62,13,50,{1,2,3,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,2,20,7,54,27,17,23,4,{1,3,5,6,8,9,10,12,13,14,15,16,18,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,8,7,6,22,20,25,16,98,5,{1,2,3,4,9,10,11,12,13,14,17,18,19,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 6,26,2,47,14,64,29,24,28,25,{1,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,19,2,15,12,10,17,51,58,{1,4,6,7,8,9,11,13,14,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 75,16,61,26,29,31,8,6,34,27,{1,2,3,4,5,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,28,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,26,3,5,12,43,7,22,50,17,{1,2,4,6,8,9,10,11,13,14,15,16,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,23,1,38,37,56,10,14,49,50,{2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 42,6,14,68,1,25,3,17,2,72,{4,5,7,8,9,10,11,12,13,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,6,76,3,11,1,79,25,72,7,{2,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,2,100,37,16,30,49,14,52,64,{1,3,4,5,6,7,8,9,10,11,12,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,32,61,17,20,31,1,22,80,16,{2,3,5,6,7,8,9,10,11,12,13,14,15,18,19,21,23,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,36,33,88,6,37,18,39,38,{1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,12,3,33,39,21,57,42,7,29,{1,2,4,5,6,8,9,10,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,10,34,24,59,76,3,5,14,{2,4,6,7,8,9,11,12,13,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,25,37,10,32,72,14,39,100,17,{1,2,3,4,5,6,7,8,9,11,12,13,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,9,64,15,7,1,73,8,93,35,{2,3,4,6,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 37,1,18,11,5,35,3,52,14,4,{2,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,1,3,27,100,26,47,28,63,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,39,17,18,66,16,5,7,3,{1,2,4,6,8,9,11,12,13,14,15,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,20,8,3,10,16,70,28,6,41,{2,4,5,7,9,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,1,63,20,100,3,39,42,32,33,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,76,1,9,50,61,2,98,35,53,{3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 69,41,82,29,17,35,52,12,62,4,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,37,2,4,61,39,27,11,100,76,{1,3,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,9,21,13,11,36,3,17,54,14,{1,2,4,5,6,7,8,12,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,47,10,11,17,14,32,4,74,{1,2,3,5,6,7,8,12,13,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,2,100,7,14,23,37,1,42,{3,4,5,6,9,10,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,13,11,47,14,57,26,88,64,{1,3,4,5,6,7,8,9,10,12,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,34,13,25,19,30,49,50,53,35,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,26,27,28,29,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,21,46,20,1,11,100,14,30,7,{2,3,4,5,6,8,9,10,12,13,15,16,17,18,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,100,14,13,23,2,10,7,31,52,{1,3,4,5,6,8,9,11,12,15,16,17,18,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,8,7,26,11,44,42,17,14,38,{1,2,3,4,5,6,9,10,12,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,15,44,17,55,2,11,52,21,{1,3,4,5,6,7,8,9,12,13,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,5,17,3,12,31,81,64,24,8,{1,2,4,6,7,9,10,11,13,14,15,16,18,19,20,21,22,23,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,3,23,6,30,39,37,27,97,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,28,29,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 19,11,10,6,5,50,75,94,9,95,{1,2,3,4,7,8,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,96,97,98,99,100}
1: 25,6,44,14,41,31,11,24,12,28,{1,2,3,4,5,7,8,9,10,13,15,16,17,18,19,20,21,22,23,26,27,29,30,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,13,30,11,24,28,8,44,42,{2,4,5,6,7,9,10,12,14,15,16,17,18,19,20,21,22,23,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,15,7,11,38,9,40,28,30,4,{1,2,3,5,6,8,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,8,25,100,29,72,9,12,33,3,{2,4,5,6,7,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,13,21,15,50,28,7,5,3,23,{1,2,4,6,8,9,10,11,12,14,16,17,18,19,20,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,8,57,16,12,25,75,39,17,20,{1,2,3,4,5,6,7,9,10,11,13,14,15,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,6,15,80,22,48,45,17,3,24,{2,4,5,7,8,9,10,11,12,13,14,16,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,47,27,11,22,23,3,100,24,12,{1,2,4,5,6,7,9,10,13,14,15,16,17,18,19,20,21,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,3,10,63,35,16,13,26,31,38,{1,2,4,5,6,7,8,9,11,12,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,15,19,7,8,1,5,28,4,44,{2,3,6,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,39,100,29,62,10,65,14,66,42,{1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,18,27,100,15,25,22,46,35,40,{1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,19,20,21,23,24,26,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,38,26,5,36,46,8,30,24,27,{1,2,3,4,6,7,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,28,29,31,32,33,34,35,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,7,58,6,8,13,11,52,14,12,{1,2,3,4,5,9,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,37,61,51,27,65,21,45,56,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,31,3,7,21,5,11,10,14,17,{1,2,4,8,9,12,13,15,16,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,61,10,5,3,13,28,32,59,49,{1,2,4,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,18,48,3,36,16,2,42,100,39,{1,4,5,6,7,8,9,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,19,15,16,9,46,3,52,42,4,{1,2,5,6,7,8,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,38,100,9,53,3,7,72,42,12,{1,2,4,5,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,11,2,29,5,12,63,31,23,21,{1,3,6,7,8,9,10,13,14,15,16,17,18,19,20,22,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,13,10,25,20,12,24,5,43,100,{1,2,3,4,6,7,8,11,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,19,9,14,2,3,36,45,70,23,{1,5,6,7,8,10,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,5,31,19,1,29,10,22,51,28,{2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,20,21,23,24,25,27,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,19,6,5,38,52,14,22,84,40,{1,2,3,4,7,8,9,10,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,20,31,4,17,66,33,24,40,2,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,32,34,35,36,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,34,9,15,7,35,28,23,72,98,{1,2,3,5,6,8,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 2,3,100,14,19,46,6,39,12,24,{1,4,5,7,8,9,10,11,13,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,1,37,100,3,12,27,32,39,44,{2,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,7,26,2,13,6,24,14,44,100,{1,3,4,5,8,9,10,11,12,15,16,17,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,1,22,40,7,27,50,13,62,93,{3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 16,10,20,91,60,27,84,11,89,62,{1,2,3,4,5,6,7,8,9,12,13,14,15,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,90,92,93,94,95,96,97,98,99,100}
1: 14,99,12,19,9,74,100,5,31,18,{1,2,3,4,6,7,8,10,11,13,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 9,18,13,31,4,14,40,12,33,28,{1,2,3,5,6,7,8,10,11,15,16,17,19,20,21,22,23,24,25,26,27,29,30,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,10,26,21,7,5,18,60,40,{1,3,4,6,9,11,12,13,14,15,16,17,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,9,5,6,21,28,4,96,67,{1,2,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 8,27,50,15,13,14,29,23,44,32,{1,2,3,4,5,6,7,9,10,11,12,16,17,18,19,20,21,22,24,25,26,28,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,22,11,9,36,71,41,40,17,{1,2,3,4,5,7,10,12,13,14,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,7,37,21,100,13,9,5,31,6,{1,2,3,4,8,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,33,19,39,67,5,3,15,44,13,{1,2,4,6,7,8,9,10,11,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,10,32,88,1,13,14,4,40,{3,5,6,7,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,34,45,1,10,44,64,19,42,47,{2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,43,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,26,7,22,21,60,16,10,63,18,{1,2,3,4,5,8,9,11,12,13,14,15,17,19,20,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,100,11,7,6,10,57,18,30,{1,3,4,5,8,9,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,11,29,46,13,51,31,63,12,30,{1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,37,22,19,2,31,21,3,15,7,{1,4,5,6,8,9,11,12,13,14,16,17,18,20,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,47,9,27,10,66,5,18,21,42,{1,2,3,4,6,7,8,11,12,13,14,15,16,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,2,13,15,100,5,29,51,42,{1,4,6,7,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,28,4,46,25,27,21,3,7,71,{1,2,5,6,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,62,24,100,40,14,95,51,11,55,{1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 4,12,11,61,17,18,3,9,40,26,{1,2,5,6,7,8,10,13,14,15,16,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,47,5,39,30,68,57,66,25,4,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,35,12,15,26,33,91,50,39,16,{1,2,3,4,5,7,8,9,10,11,13,14,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 72,52,17,71,7,30,6,51,29,8,{1,2,3,4,5,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,27,10,15,99,23,57,49,24,69,{2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 6,17,100,21,77,29,39,34,42,89,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 9,4,10,13,23,15,65,12,71,5,{1,2,3,6,7,8,11,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,7,45,8,41,15,17,5,98,24,{1,2,3,4,6,9,10,11,12,13,14,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 8,4,11,16,12,100,10,17,64,25,{1,2,3,5,6,7,9,13,14,15,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,6,9,100,35,15,5,34,10,36,{1,2,3,4,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,9,3,43,37,25,6,11,84,27,{1,2,4,5,7,8,10,12,13,14,15,16,17,18,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,18,15,22,2,28,100,20,58,69,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,44,10,42,68,12,23,63,27,1,{2,3,4,5,6,7,8,9,11,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,18,1,12,54,36,7,22,6,16,{2,3,4,5,8,9,10,11,13,14,15,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,9,26,17,100,18,23,46,20,40,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,3,2,28,12,34,82,21,26,13,{1,4,5,6,7,8,9,10,11,14,16,17,18,19,20,22,23,24,25,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,26,6,100,25,11,32,19,5,60,{1,3,4,7,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,5,34,27,76,2,33,31,25,18,{3,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,30,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,48,50,43,12,21,85,28,39,4,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,2,9,14,18,3,7,29,40,{4,5,6,8,10,11,12,13,15,16,17,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,20,32,38,48,16,33,60,9,100,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,46,9,92,28,19,17,70,23,13,{1,2,3,4,5,6,7,8,10,11,12,14,15,16,18,20,21,22,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 10,15,100,23,22,27,25,60,26,29,{1,2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,24,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,8,14,38,58,12,24,29,23,60,{1,2,3,4,5,6,7,9,11,13,15,16,17,18,19,20,21,22,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,13,21,6,75,16,3,5,52,30,{1,2,4,7,8,9,10,11,12,14,15,17,18,19,20,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,34,9,54,29,22,1,17,4,{2,3,5,6,7,10,11,12,14,15,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,18,22,46,42,29,7,12,45,51,{1,2,3,4,5,6,8,9,10,11,14,15,16,17,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,14,10,39,16,72,7,40,4,{1,2,3,5,6,9,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,100,25,11,45,17,36,5,1,6,{2,3,4,7,8,9,10,12,13,14,15,16,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,16,19,31,100,4,25,67,12,24,{1,2,3,5,7,8,9,10,11,13,14,15,17,18,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,57,58,44,10,30,41,17,42,97,{1,2,3,4,5,6,7,8,9,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,43,45,46,47,48,49,50,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 53,36,100,31,35,1,33,24,22,40,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,34,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,9,47,21,24,96,34,77,18,40,{1,2,3,4,5,6,7,8,10,11,12,13,14,16,17,19,20,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 15,3,4,1,46,31,2,26,17,45,{5,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,6,28,19,23,4,38,14,22,5,{1,2,3,7,8,9,10,11,12,13,15,16,17,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,23,39,6,40,55,25,1,22,52,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,26,27,28,29,30,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 66,19,5,37,36,8,63,23,43,7,{1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,14,36,57,25,4,3,19,76,38,{1,2,5,6,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,50,25,26,14,45,55,7,39,18,{1,2,3,4,5,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,15,31,13,12,11,82,5,1,{3,4,7,8,9,10,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,19,8,53,3,21,25,22,14,{1,2,4,5,7,10,11,12,13,15,16,17,18,20,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,15,45,19,20,11,25,10,100,17,{1,2,4,5,6,7,8,9,12,13,14,16,18,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,23,5,99,44,22,71,49,16,36,{1,3,4,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 1,23,39,9,28,44,15,53,29,38,{2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,30,31,32,33,34,35,36,37,40,41,42,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,25,36,31,23,30,18,58,16,35,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,19,20,21,22,24,26,28,29,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 42,4,2,100,25,5,84,34,18,85,{1,3,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,4,20,10,1,27,32,30,77,17,{2,3,5,6,7,8,9,11,12,13,14,15,16,18,19,21,23,24,25,26,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,25,88,2,100,1,30,7,39,21,{3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,29,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 47,7,12,51,48,52,30,21,2,13,{1,3,4,5,6,8,9,10,11,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,53,18,23,25,20,2,29,5,{1,3,4,6,7,8,11,12,13,14,15,16,17,19,21,22,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,8,61,53,27,43,17,39,70,12,{1,2,3,4,5,7,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,4,14,2,9,50,49,24,45,17,{1,3,5,6,7,8,10,11,12,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,8,48,38,65,100,33,13,16,27,{1,2,3,4,5,6,7,9,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,31,100,11,33,12,53,35,62,{1,2,3,4,5,7,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,71,43,44,72,50,3,61,51,4,{1,2,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,6,8,39,41,5,16,73,27,23,{1,2,3,4,7,9,10,11,13,14,15,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,1,17,77,9,16,43,44,27,13,{2,3,4,5,6,7,8,10,11,12,15,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,61,15,37,4,8,30,10,17,26,{1,2,3,5,6,7,9,11,12,13,14,16,18,19,20,21,22,23,24,25,27,28,29,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,23,1,35,11,24,42,83,80,{2,3,4,5,7,8,9,10,12,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,57,13,3,34,28,8,14,5,41,{2,4,6,7,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,28,100,75,77,43,30,22,7,32,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,29,31,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,10,1,97,5,51,31,36,24,48,{2,3,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 100,22,26,43,16,6,35,18,7,60,{1,2,3,4,5,8,9,10,11,12,13,14,15,17,19,20,21,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,20,1,18,3,12,9,100,35,56,{2,4,5,6,7,10,11,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 58,26,43,44,3,21,13,20,1,30,{2,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,41,3,16,29,8,11,23,57,69,{1,2,4,5,6,7,9,10,13,14,15,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,5,3,1,48,20,86,95,69,{4,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 5,18,15,31,47,64,10,35,17,6,{1,2,3,4,7,8,9,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,22,79,31,21,3,49,24,17,52,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,18,19,20,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,28,6,8,2,31,27,1,25,26,{3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,44,16,3,43,25,23,27,13,10,{1,2,4,5,6,7,9,11,12,14,15,17,18,19,20,21,22,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 99,12,33,16,20,29,60,34,64,1,{2,3,4,5,6,7,8,9,10,11,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 21,36,23,4,14,9,69,43,48,78,{1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,10,37,20,48,38,1,30,18,{2,3,4,5,7,8,9,11,12,13,14,15,16,17,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,10,36,25,34,24,38,37,64,{1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,35,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,31,3,29,4,6,34,36,16,46,{1,2,5,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,35,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,59,32,12,29,17,10,11,94,{1,2,3,4,5,6,7,9,13,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 13,2,35,21,25,23,42,17,24,29,{1,3,4,5,6,7,8,9,10,11,12,14,15,16,18,19,20,22,26,27,28,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,11,100,22,30,9,52,25,2,43,{1,3,4,6,7,8,10,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,25,26,12,28,30,21,9,41,10,{2,3,4,5,6,7,8,11,13,14,15,16,17,18,19,20,22,23,24,27,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,10,6,11,56,32,21,27,17,25,{1,2,3,4,5,7,8,9,12,13,14,15,16,18,19,20,22,23,24,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,9,48,7,61,11,16,66,32,36,{1,2,3,4,5,6,8,10,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,4,11,14,1,21,18,26,31,{2,3,5,6,7,8,9,10,12,13,16,17,20,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,37,2,17,3,24,14,66,29,69,{1,4,5,6,7,8,9,10,11,12,13,15,16,18,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,3,9,16,20,36,14,39,18,90,{1,2,4,5,6,7,8,10,11,12,13,15,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 22,41,12,10,11,9,26,94,7,1,{2,3,4,5,6,8,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 61,26,65,24,18,17,3,100,29,5,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,19,20,21,22,23,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,26,41,72,3,40,36,66,4,7,{1,2,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,9,10,25,41,11,43,30,40,{2,3,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 30,2,26,43,69,50,20,51,57,12,{1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,8,4,2,68,31,6,17,16,75,{1,3,5,7,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,46,44,17,2,63,24,11,4,20,{1,3,5,6,7,8,9,10,12,13,14,16,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,48,18,1,36,6,14,42,17,{3,4,5,7,8,10,11,12,13,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,43,2,3,100,10,16,24,56,4,{1,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,6,62,15,100,25,40,57,27,21,{1,2,3,4,5,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,26,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,14,24,54,15,31,36,33,17,42,{1,2,3,4,5,7,8,9,10,11,12,13,16,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,47,13,6,1,3,26,100,5,67,{2,4,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 45,5,39,15,22,28,7,86,8,85,{1,2,3,4,6,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,2,37,76,4,10,17,55,50,7,{1,3,5,6,8,9,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,78,41,32,8,1,5,34,25,29,{2,3,4,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,7,15,20,98,64,69,27,3,5,{1,2,4,6,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 1,34,31,71,63,2,18,10,7,49,{3,4,5,6,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,2,22,100,11,5,14,23,92,{3,4,6,7,8,10,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 61,100,6,22,11,32,10,1,35,21,{2,3,4,5,7,8,9,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,21,11,27,4,12,1,16,29,38,{2,5,6,7,8,9,10,13,14,15,17,18,19,20,22,23,24,25,26,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,2,22,4,11,5,57,10,7,{1,3,6,8,9,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,23,12,51,6,76,100,16,24,49,{1,2,3,4,5,7,8,9,10,11,13,14,15,17,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,12,2,6,31,1,38,21,15,100,{4,5,7,8,9,10,11,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,20,52,3,22,85,95,17,16,{1,2,4,5,6,7,9,10,12,13,14,15,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,8,2,100,70,46,1,29,12,16,{3,4,5,6,7,9,10,11,13,14,15,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,2,31,29,72,43,16,22,65,97,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,23,24,25,26,28,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 14,11,12,34,35,23,2,43,17,5,{1,3,4,6,7,8,9,10,13,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,15,7,5,23,30,63,22,12,49,{1,2,3,4,6,8,9,10,11,13,14,16,17,18,19,20,21,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,43,10,61,31,27,2,22,73,13,{1,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,32,33,34,35,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,73,19,76,2,11,29,1,16,43,{3,4,5,6,7,8,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,71,61,8,34,13,43,15,2,9,{3,4,5,6,7,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,24,25,79,7,22,13,5,48,26,{2,3,4,6,8,9,10,11,12,14,15,16,17,18,19,20,21,23,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,20,37,48,10,21,13,18,6,{1,2,4,5,7,8,9,11,12,14,15,16,17,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,3,56,16,14,19,7,75,26,9,{2,4,5,6,8,10,11,12,13,15,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,9,5,20,37,12,68,39,62,{2,3,4,7,8,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,20,2,44,49,19,62,73,17,33,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,45,26,42,29,18,46,83,48,81,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,26,22,85,45,18,49,12,28,{2,3,4,5,6,7,8,9,10,11,13,14,16,17,19,20,21,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,10,100,54,27,51,35,23,78,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,9,22,64,26,6,10,5,16,60,{1,2,3,4,7,8,11,12,13,14,15,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,21,34,15,41,19,10,38,28,30,{1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,20,22,23,24,25,26,27,29,31,32,33,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,15,1,24,28,37,26,16,56,{2,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,25,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,9,16,3,11,12,66,38,62,64,{1,2,4,5,7,8,10,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,42,4,13,16,43,63,10,80,{2,3,5,6,7,8,9,11,12,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,13,9,31,2,23,20,7,16,{1,3,5,6,10,11,12,14,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,9,25,14,20,5,60,13,62,{1,2,3,7,8,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,46,7,41,22,16,36,33,15,37,{1,2,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,60,26,19,2,11,20,18,21,1,{4,5,6,7,8,9,10,12,13,14,15,16,17,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,76,47,51,4,10,50,20,42,12,{1,2,3,6,7,8,9,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,14,31,16,40,76,20,60,65,23,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,48,18,43,17,35,12,50,33,4,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,19,20,21,22,23,24,25,26,28,29,30,31,32,34,36,37,38,39,40,41,42,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,73,48,95,78,29,87,4,14,100,{1,2,3,5,6,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,96,97,98,99}
1: 10,6,14,68,36,39,20,11,18,40,{1,2,3,4,5,7,8,9,12,13,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,15,34,17,28,10,7,6,40,38,{1,2,3,4,5,8,9,11,12,13,14,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,37,15,14,66,7,20,21,45,{1,2,3,4,5,6,8,9,11,12,13,16,17,18,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,12,14,10,1,6,11,2,100,74,{3,4,5,7,8,9,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,2,8,30,11,26,25,10,1,51,{3,4,5,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,41,100,7,12,9,5,31,48,14,{1,2,3,4,8,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,8,34,14,47,23,18,54,1,30,{2,3,4,5,6,7,9,11,12,13,15,16,17,19,20,21,22,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,2,34,10,62,9,97,16,66,29,{1,3,4,5,6,7,8,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 8,9,22,100,45,96,36,6,24,29,{1,2,3,4,5,7,10,11,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 2,19,11,26,70,27,88,22,24,14,{1,3,4,5,6,7,8,9,10,12,13,15,16,17,18,20,21,23,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,100,58,8,20,54,17,46,39,87,{1,2,3,4,5,6,7,9,10,11,12,13,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,61,44,100,5,74,42,80,32,12,{1,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,2,100,3,21,47,29,54,23,17,{1,4,5,6,7,8,9,10,11,12,13,14,16,18,19,20,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,4,49,36,34,31,33,19,8,89,{1,2,3,5,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,23,44,79,39,25,42,68,60,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,71,13,16,18,28,51,40,23,42,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,17,19,20,21,22,24,25,27,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,6,28,14,30,58,34,7,43,{1,2,3,5,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,29,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,27,49,100,7,33,38,1,77,89,{2,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 24,54,14,100,65,9,17,58,16,13,{1,2,3,4,5,6,7,8,10,11,12,15,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,1,31,25,5,39,19,18,29,24,{2,3,4,6,7,8,10,11,12,13,14,15,16,17,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,58,44,7,14,3,24,95,77,{1,2,4,5,9,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 11,2,1,36,16,99,100,9,33,72,{3,4,5,6,7,8,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 100,4,31,17,76,7,52,13,5,53,{1,2,3,6,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,100,30,3,15,29,18,23,16,88,{1,2,4,5,6,7,8,10,11,12,13,14,17,19,20,21,22,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 13,11,49,22,38,6,56,14,30,17,{1,2,3,4,5,7,8,9,10,12,15,16,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,9,7,22,26,37,4,77,13,28,{1,2,3,6,8,10,11,12,14,15,16,17,18,19,20,21,23,24,25,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,11,4,100,87,60,90,33,17,56,{1,2,3,5,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,91,92,93,94,95,96,97,98,99}
1: 6,7,92,26,29,79,2,20,24,21,{1,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 9,100,25,1,12,19,49,13,76,7,{2,3,4,5,6,8,10,11,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,15,43,1,20,29,14,51,50,12,{2,3,4,5,6,8,9,10,11,13,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,13,1,9,17,11,10,7,5,{2,3,4,6,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,8,4,15,36,13,26,12,30,49,{1,2,3,5,6,7,9,10,14,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,19,13,77,18,1,21,51,25,{2,5,6,7,8,9,10,11,12,14,15,16,17,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,26,58,8,27,25,7,100,5,{1,2,3,6,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,11,20,14,35,33,3,5,48,7,{1,4,6,8,9,10,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,6,17,35,7,32,23,100,3,64,{1,2,4,5,8,9,10,11,12,13,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 30,19,100,12,79,53,4,40,58,76,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,35,3,46,21,49,57,15,67,32,{1,2,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,11,14,4,1,2,26,40,42,35,{3,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,4,26,1,100,45,32,68,11,39,{3,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,100,15,32,22,14,65,64,10,58,{1,2,3,4,5,6,7,8,9,11,12,13,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,50,21,31,29,35,11,7,68,{1,3,4,5,6,8,9,10,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,16,22,6,61,44,26,48,11,14,{1,2,3,4,5,7,8,10,12,13,15,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,45,37,14,19,21,22,4,42,18,{1,2,3,5,6,7,8,9,10,11,12,13,16,17,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,100,10,8,13,20,70,6,7,17,{1,2,3,4,5,9,11,12,14,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,71,8,29,9,3,21,32,16,4,{1,2,5,6,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,36,100,22,10,67,1,39,31,{2,3,4,5,7,8,9,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,22,10,16,12,9,35,33,5,29,{2,3,4,6,7,8,11,13,14,15,17,18,19,20,21,23,24,25,26,27,28,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,9,52,3,2,30,4,32,19,22,{1,5,6,7,8,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,12,28,39,26,18,29,16,56,{1,2,3,5,6,7,8,9,10,11,13,14,15,17,20,21,22,23,24,25,27,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,61,10,82,33,27,25,34,8,59,{1,2,3,4,5,6,7,9,11,12,13,14,15,16,17,18,19,20,21,23,24,26,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,12,22,88,66,32,59,37,3,42,{1,2,4,5,6,7,8,9,10,11,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,22,100,51,19,12,14,68,64,{1,2,4,6,7,8,9,10,11,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,31,13,7,45,23,21,51,12,{1,3,4,5,6,9,10,11,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,72,18,11,28,7,3,95,22,6,{1,2,4,5,8,9,10,12,13,14,15,16,17,19,20,21,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 13,19,8,22,34,14,35,24,26,15,{1,2,3,4,5,6,7,9,10,11,12,16,17,18,20,21,23,25,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,20,49,16,4,30,53,17,25,{1,2,3,5,6,7,8,10,11,12,13,14,15,18,19,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,25,62,1,42,23,49,58,40,29,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,30,31,32,33,34,35,36,38,39,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,10,16,41,34,43,24,91,29,69,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,35,36,37,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 14,1,16,22,61,17,66,40,38,58,{2,3,4,5,6,7,8,9,10,11,12,13,15,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,51,14,39,23,25,60,40,28,{2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,24,26,27,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,6,42,71,7,44,24,41,100,{1,3,4,5,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,13,2,8,33,41,17,100,3,69,{1,4,5,6,7,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,3,15,2,48,18,4,21,28,10,{1,5,6,7,8,9,11,12,13,14,16,17,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,5,11,3,9,16,28,13,55,18,{1,2,4,7,8,10,12,14,15,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,3,24,23,49,28,48,45,77,{4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,3,61,5,78,20,7,22,18,75,{1,2,4,6,8,9,10,11,12,13,14,15,16,17,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,43,37,12,44,32,2,28,6,{1,4,5,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,4,20,25,24,28,34,12,39,7,{1,2,3,5,6,9,10,11,13,14,15,16,17,18,19,21,22,23,26,27,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 49,17,10,35,26,13,27,11,30,9,{1,2,3,4,5,6,7,8,12,14,15,16,18,19,20,21,22,23,24,25,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,43,7,15,12,14,31,66,18,23,{1,2,3,4,5,6,8,9,10,11,13,16,17,19,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,19,5,8,20,29,73,3,25,100,{1,2,4,6,7,9,10,11,13,14,15,16,17,18,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,4,19,20,34,22,9,100,39,35,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,18,21,23,24,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,8,1,64,16,22,18,91,32,40,{2,3,4,5,7,9,10,11,12,13,14,15,17,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,19,88,31,63,49,5,7,18,2,{1,3,4,6,9,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,35,6,2,8,28,7,100,25,16,{1,3,4,5,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,16,49,51,11,52,12,5,23,59,{1,2,3,4,6,7,8,10,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,10,58,5,33,12,68,69,17,23,{1,2,3,4,6,7,8,9,11,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,6,21,100,5,44,30,7,69,{2,3,4,8,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,12,35,3,33,11,56,94,7,1,{2,4,5,6,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 11,20,24,12,2,6,37,31,3,94,{1,4,5,7,8,9,10,13,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 1,9,68,90,100,43,5,4,29,38,{2,3,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 2,47,22,17,75,18,87,14,26,24,{1,3,4,5,6,7,8,9,10,11,12,13,15,16,19,20,21,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,45,1,7,9,20,10,64,12,28,{2,3,4,5,6,8,11,13,14,15,16,17,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,19,3,16,47,50,2,15,1,{5,6,7,9,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,8,4,3,88,31,12,86,29,17,{1,2,5,6,7,9,10,11,13,14,15,16,18,19,20,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,100,33,21,11,40,24,16,26,1,{2,3,4,5,6,7,8,9,10,12,13,14,17,18,19,20,22,23,25,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,37,53,36,15,22,5,16,4,64,{1,2,3,6,8,9,10,11,12,13,14,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,6,20,18,3,26,37,52,38,84,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,32,39,18,6,42,10,5,33,{1,2,3,4,7,8,9,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,20,82,27,16,9,42,43,56,{1,2,3,4,5,7,8,11,12,13,14,15,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,61,53,27,25,33,2,57,39,38,{1,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,50,11,7,5,13,25,12,18,{1,2,3,4,6,8,9,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,12,26,50,45,15,5,39,97,{1,2,3,6,7,8,10,11,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 53,10,9,7,43,26,6,14,18,17,{1,2,3,4,5,8,11,12,13,15,16,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,10,2,39,37,4,14,18,1,{3,5,7,8,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,9,46,96,20,16,66,5,28,30,{1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 41,13,1,73,9,5,49,22,72,100,{2,3,4,6,7,8,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,22,9,61,29,3,43,1,77,34,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,11,9,67,52,23,16,24,4,94,{1,2,3,5,6,8,10,12,13,14,15,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,25,5,18,79,20,93,24,10,39,{1,2,3,4,6,7,9,11,12,13,14,15,16,17,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 27,20,31,3,32,4,16,74,100,17,{1,2,5,6,7,8,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,3,27,26,70,40,1,74,5,21,{2,4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,6,46,13,30,49,42,7,45,15,{1,2,3,4,5,8,9,10,11,12,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,31,6,24,39,14,5,10,33,49,{1,2,3,4,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,53,15,3,34,1,50,42,71,40,{2,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,100,41,16,4,67,78,5,55,{1,2,3,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,14,32,2,35,76,12,89,38,48,{1,3,4,5,6,7,8,9,10,11,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 100,11,9,19,20,22,89,56,29,70,{1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 19,1,13,2,32,20,23,34,81,63,{3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,21,22,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,52,10,60,7,11,46,15,17,84,{1,2,3,4,5,6,8,9,12,13,14,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,27,3,17,26,43,16,76,7,{1,2,4,5,6,9,10,11,12,13,14,15,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,54,1,8,26,25,22,66,69,{2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,11,19,41,8,38,6,4,7,12,{1,2,3,5,9,10,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,37,2,27,3,23,60,16,40,45,{1,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,26,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,35,27,5,11,48,42,15,17,53,{1,2,3,4,6,7,8,9,10,12,13,14,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,67,8,6,4,95,5,28,29,93,{1,2,3,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,96,97,98,99,100}
1: 5,21,3,2,26,76,11,7,100,28,{1,4,6,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,1,3,10,58,17,18,74,5,55,{4,6,7,8,9,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,3,26,2,22,5,13,64,28,17,{1,4,6,7,8,9,10,11,12,14,15,16,18,19,20,21,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,27,11,19,20,3,18,16,40,70,{1,2,4,5,6,7,8,9,10,12,13,14,15,17,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,14,6,1,31,5,20,17,30,{2,3,4,7,8,10,11,12,13,15,16,18,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,11,100,20,5,4,42,28,61,{1,3,6,7,9,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,67,27,15,2,38,78,71,17,7,{1,3,4,6,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 58,10,33,19,5,1,27,8,67,7,{2,3,4,6,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,34,44,100,14,10,75,38,1,6,{2,3,4,5,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,27,7,3,50,48,10,28,4,{1,2,5,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,41,100,17,3,1,64,50,84,43,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,63,24,14,26,5,13,42,12,1,{2,3,4,6,7,8,9,10,11,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,1,8,39,100,30,3,12,4,43,{2,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,36,24,49,12,50,69,10,21,89,{1,2,3,4,5,6,7,8,9,11,13,14,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 6,7,39,54,32,34,12,41,8,30,{1,2,3,4,5,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,33,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,7,41,18,30,21,28,60,49,35,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,29,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,20,9,10,12,79,63,31,5,26,{1,2,3,4,6,7,8,11,14,15,16,17,18,19,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,26,1,32,14,21,2,3,17,{4,5,6,7,9,10,11,12,13,16,18,19,20,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,16,9,22,87,1,4,30,17,{3,5,6,7,8,10,11,12,14,15,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,14,24,12,11,20,100,35,7,3,{2,4,5,6,8,9,10,13,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,2,9,1,34,10,21,16,14,33,{3,4,5,6,7,8,11,12,13,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,26,9,10,35,14,7,13,12,31,{1,2,3,4,5,6,11,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,37,1,21,31,10,44,28,14,56,{2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,22,23,24,25,27,29,30,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,14,18,4,23,20,90,55,49,6,{2,3,5,7,8,9,10,11,12,13,15,16,17,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 2,58,5,3,12,31,36,30,50,18,{1,4,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,15,4,34,59,21,13,38,23,58,{1,2,3,5,6,7,8,9,10,11,12,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,12,39,24,26,5,19,49,15,{2,3,4,6,7,8,9,10,13,14,16,17,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,13,4,57,6,7,3,65,35,25,{1,2,5,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,20,11,27,34,16,5,32,18,{1,2,3,4,6,7,10,12,13,14,15,17,19,21,22,23,24,25,26,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,13,3,19,28,30,53,38,58,{1,4,5,6,7,8,9,10,12,14,15,16,17,18,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,79,36,2,19,24,13,27,72,{1,3,5,6,7,8,10,11,12,14,15,16,17,18,20,21,22,23,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,21,43,9,11,22,59,5,53,12,{1,2,3,4,7,8,10,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,61,4,18,6,58,74,30,71,7,{1,3,5,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,62,63,64,65,66,67,68,69,70,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,32,33,16,23,5,37,4,8,{1,2,3,6,7,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 48,11,5,63,15,45,9,23,40,7,{1,2,3,4,6,8,10,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,20,71,95,23,27,21,26,8,80,{1,2,3,4,5,6,7,9,10,11,12,13,14,16,17,18,19,22,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 6,76,37,1,88,33,38,32,56,29,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,1,17,65,87,12,59,16,6,23,{2,4,5,7,8,9,10,11,13,14,15,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,5,31,26,27,25,7,16,4,18,{1,2,3,8,9,10,11,12,13,14,15,17,19,20,21,22,23,24,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 31,19,8,14,27,5,46,35,1,29,{2,3,4,6,7,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,28,30,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,100,22,7,38,61,44,84,53,{2,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 44,3,12,11,38,29,2,67,24,18,{1,4,5,6,7,8,9,10,13,14,15,16,17,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,9,35,5,13,28,42,25,22,59,{1,2,4,6,7,8,10,11,12,14,15,16,17,18,19,20,21,23,24,26,27,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,69,1,6,4,10,8,85,12,15,{2,3,5,7,9,11,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,36,20,10,7,81,80,16,69,{1,3,4,5,6,8,9,11,12,13,14,15,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,54,39,9,11,29,22,3,51,4,{1,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,1,19,68,52,45,38,54,5,56,{2,3,4,6,7,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,53,55,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 46,79,34,20,1,37,28,9,5,78,{2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,27,10,3,94,26,22,49,48,5,{1,2,4,6,7,8,9,12,13,14,15,16,17,18,19,20,21,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 11,30,25,1,17,31,24,28,12,6,{2,3,4,5,7,8,9,10,13,14,15,16,18,19,20,21,22,23,26,27,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,9,2,3,39,44,43,33,22,{1,4,5,6,7,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,21,25,69,58,31,49,4,6,16,{1,2,3,7,8,9,10,11,12,13,14,15,17,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,8,47,20,36,73,4,13,66,24,{1,2,3,5,6,7,9,10,11,12,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,42,35,79,41,4,43,100,29,{1,2,3,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,23,3,8,96,14,9,28,4,7,{1,2,5,6,10,11,12,13,15,16,17,18,19,20,21,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 64,33,30,100,10,52,16,93,11,38,{1,2,3,4,5,6,7,8,9,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 4,15,76,5,3,25,38,23,11,93,{1,2,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 1,15,27,18,2,4,46,58,62,66,{3,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,31,12,73,18,26,1,92,25,{2,3,4,5,7,8,9,10,11,14,15,16,17,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 25,57,7,52,5,58,9,2,24,35,{1,3,4,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,5,10,20,31,13,9,36,51,25,{1,2,3,4,6,8,11,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,1,2,4,13,20,14,60,95,12,{3,5,6,7,8,9,10,11,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,9,31,10,4,63,7,37,1,91,{2,3,5,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,14,4,15,41,88,13,100,3,28,{1,2,5,6,7,9,10,11,12,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 100,10,3,36,19,22,42,53,13,6,{1,2,4,5,7,8,9,11,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,35,20,10,2,50,3,30,49,17,{1,4,5,6,7,8,9,11,12,13,14,15,16,19,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,11,10,46,13,98,4,8,7,54,{1,2,3,5,6,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 15,13,20,9,4,6,2,7,49,31,{1,3,5,8,10,11,12,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 44,100,25,14,12,1,17,18,5,58,{2,3,4,6,7,8,9,10,11,13,15,16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,7,100,5,18,82,40,64,25,1,{2,3,4,6,8,9,10,11,12,13,14,15,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,26,1,45,23,27,34,17,24,{3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,21,22,25,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,53,24,78,6,70,2,16,38,58,{1,3,4,5,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,14,12,9,48,100,27,13,3,16,{1,2,5,6,7,8,10,11,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,19,26,43,6,13,100,20,51,{1,2,3,4,5,7,9,10,11,12,14,16,17,18,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,12,51,28,9,31,61,68,40,{1,2,3,5,6,7,8,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,26,100,63,31,16,14,20,25,4,{1,2,3,5,6,7,8,9,10,11,12,13,15,17,18,19,21,22,23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 46,32,11,88,5,10,19,2,3,8,{1,4,6,7,9,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,15,2,65,19,8,6,63,23,18,{1,4,5,7,9,10,11,12,13,14,16,17,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,2,8,11,28,29,6,31,41,{1,3,4,5,7,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,20,100,10,1,16,7,24,3,92,{2,4,5,6,8,9,11,12,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 5,43,26,6,13,11,21,28,50,24,{1,2,3,4,7,8,9,10,12,14,15,16,17,18,19,20,22,23,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,6,41,22,69,13,27,31,7,1,{2,3,4,5,8,9,10,11,12,14,15,17,18,19,20,21,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,24,36,16,72,8,1,27,21,74,{2,3,4,5,6,7,9,11,12,13,14,15,17,18,19,20,22,23,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,61,43,6,34,49,23,10,39,99,{1,2,3,4,5,7,8,9,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 4,8,20,22,2,17,5,21,75,47,{1,3,6,7,9,10,11,12,13,14,15,16,18,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,36,51,9,16,15,2,19,57,54,{1,3,4,5,6,7,8,10,11,12,13,14,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,22,24,12,18,10,55,56,17,{1,2,3,4,5,6,7,9,11,13,14,15,16,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,1,8,47,22,2,11,45,21,10,{3,4,5,6,7,9,12,13,14,15,16,17,18,19,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,3,20,19,9,70,100,39,75,64,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,2,1,7,22,11,28,21,90,63,{3,4,5,6,8,9,10,12,13,14,16,17,18,19,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,24,11,21,35,27,23,13,28,33,{2,3,4,5,6,7,8,9,10,12,14,15,16,17,18,19,20,22,25,26,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,58,43,15,7,100,5,4,14,59,{1,2,3,6,8,9,10,11,12,13,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,32,36,21,18,100,50,30,42,97,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,22,23,24,25,26,27,28,29,31,33,34,35,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 6,22,10,11,34,16,66,5,94,42,{1,2,3,4,7,8,9,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 15,6,3,9,42,7,28,10,4,66,{1,2,5,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,37,46,23,13,18,28,53,26,95,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,24,25,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,25,3,73,34,65,14,29,5,93,{1,2,4,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 61,31,23,10,5,28,29,51,4,16,{1,2,3,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,4,11,2,21,1,7,94,33,{3,5,6,8,9,10,12,13,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,57,13,20,21,12,14,43,29,49,{1,2,3,4,5,6,7,9,10,11,15,16,17,18,19,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,22,35,7,33,100,44,1,10,{2,3,4,5,6,8,9,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,59,14,9,38,30,7,22,6,1,{2,3,4,5,8,10,11,12,13,15,16,17,18,19,20,21,23,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,20,100,13,12,21,3,32,60,17,{1,2,4,5,6,7,8,9,10,11,15,16,18,19,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,1,53,18,23,34,5,16,14,38,{2,3,4,6,7,8,9,10,11,12,13,15,17,19,20,21,22,24,25,26,27,28,29,30,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,100,56,50,17,33,2,31,12,6,{1,3,4,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,6,74,52,21,3,28,89,58,5,{1,2,4,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,19,22,5,3,63,82,42,85,{2,4,6,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,2,6,26,18,48,4,31,91,17,{1,3,5,7,8,9,10,11,12,13,14,15,16,19,20,21,22,23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 11,5,22,25,65,7,20,17,35,4,{1,2,3,6,8,9,10,12,13,14,15,16,18,19,21,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,6,26,58,1,100,65,54,2,{3,4,5,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,100,9,2,29,11,95,18,42,12,{1,3,4,5,6,7,8,10,13,14,15,16,17,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 1,14,9,5,100,3,28,93,42,35,{2,4,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 15,25,32,48,28,4,6,14,16,65,{1,2,3,5,7,8,9,10,11,12,13,17,18,19,20,21,22,23,24,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,41,51,6,100,23,4,73,42,{1,3,5,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 30,12,100,79,34,4,7,23,1,42,{2,3,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,12,15,51,6,4,8,27,30,11,{1,2,3,5,7,9,10,13,14,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,31,59,25,14,20,48,28,89,{1,2,3,5,6,7,9,10,11,12,13,15,16,17,18,19,21,22,23,24,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 25,47,33,12,28,37,4,10,11,9,{1,2,3,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,37,61,7,23,59,6,100,3,{1,2,4,5,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,88,37,51,15,5,53,1,7,32,{2,3,4,6,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,1,45,43,22,15,8,11,6,51,{2,3,4,5,7,9,10,12,13,14,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,38,10,12,26,1,25,22,5,18,{2,3,4,6,7,9,11,13,14,15,16,17,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,32,79,20,4,11,2,22,3,100,{1,5,6,7,8,9,10,12,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,6,100,43,3,56,46,34,11,17,{1,2,4,5,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,29,13,11,64,21,9,30,15,50,{1,2,3,4,5,6,7,8,10,12,14,16,17,18,19,20,22,23,24,25,26,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,13,4,94,25,23,20,57,3,5,{1,2,6,7,8,9,10,11,12,14,15,16,17,18,19,21,22,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 12,5,8,22,15,31,61,23,10,55,{1,2,3,4,6,7,9,11,13,14,16,17,18,19,20,21,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,40,1,16,62,15,51,95,21,28,{2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,4,73,21,25,13,51,15,68,78,{1,2,3,5,6,7,9,10,11,12,14,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,4,41,13,19,10,21,27,46,5,{1,2,3,6,7,8,9,11,12,15,16,17,18,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,26,17,10,11,2,9,34,13,32,{1,3,4,5,6,7,8,12,14,15,16,18,19,20,21,22,23,24,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,11,100,46,34,78,16,5,30,{1,2,3,4,6,7,8,9,12,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,38,49,5,4,67,15,2,53,13,{1,3,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,26,36,95,30,33,12,7,49,{1,2,3,4,5,6,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 21,54,6,20,17,35,58,62,77,29,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,18,19,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,12,33,15,13,3,34,100,25,18,{1,2,4,5,6,7,8,10,11,14,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,22,57,16,19,17,21,23,3,7,{1,2,4,5,6,9,10,11,12,13,14,15,18,20,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,19,27,3,25,67,11,23,28,64,{1,2,4,5,6,7,8,9,10,12,14,15,16,17,18,20,21,22,24,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,66,1,39,31,6,77,42,35,{3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,3,38,78,4,35,32,7,59,23,{1,2,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,1,3,31,10,17,9,44,68,24,{2,4,5,6,7,8,11,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,11,10,5,7,28,99,42,16,{2,3,4,6,8,9,12,14,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,15,11,37,54,29,100,6,36,98,{1,2,3,4,5,7,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 8,79,9,31,63,2,26,74,33,40,{1,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,11,5,24,9,1,25,28,36,17,{2,4,6,7,8,10,12,13,14,15,16,18,19,20,21,22,23,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,100,46,10,99,16,2,87,50,22,{1,3,4,5,6,7,8,9,11,12,13,14,15,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98}
1: 15,13,25,21,16,18,40,17,52,22,{1,2,3,4,5,6,7,8,9,10,11,12,14,19,20,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,33,19,2,17,44,100,3,56,35,{1,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,37,1,45,8,61,12,20,48,69,{2,4,5,6,7,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,9,7,26,4,39,6,54,34,18,{1,2,3,5,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,22,45,67,6,24,68,3,11,49,{1,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,9,16,30,10,12,26,37,17,4,{1,2,3,5,6,7,8,11,13,14,15,18,19,20,21,22,23,24,25,27,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,14,21,23,30,15,36,66,91,64,{1,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,53,9,8,96,2,100,1,32,78,{3,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 32,2,1,100,13,28,7,17,29,50,{3,4,5,6,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,27,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,100,34,10,11,77,39,58,5,80,{1,2,3,4,6,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,51,44,4,13,34,8,31,64,56,{1,2,3,5,6,7,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,29,11,21,24,15,6,28,72,10,{1,2,3,4,5,8,9,12,13,14,16,17,18,19,20,22,23,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,5,30,35,6,1,27,52,28,11,{3,4,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,1,22,48,5,51,68,9,11,24,{2,3,4,6,7,8,10,12,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,8,7,34,10,11,23,12,24,27,{1,2,4,5,6,9,13,14,15,16,17,18,19,20,21,22,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,25,6,5,30,72,23,16,18,48,{1,2,3,4,7,8,9,10,11,12,13,14,15,17,19,20,21,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,24,9,49,5,75,6,25,58,{1,2,3,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,29,5,43,6,70,25,1,58,{3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,30,36,6,23,17,32,12,38,{1,2,3,4,5,7,8,9,10,11,14,16,18,19,20,21,22,24,25,26,27,28,29,31,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,2,47,26,67,38,49,29,15,12,{1,3,4,5,6,7,8,9,10,11,13,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,17,12,11,1,64,5,53,6,86,{2,3,4,7,8,9,10,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,9,98,1,7,21,56,25,46,28,{2,3,4,6,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 35,22,76,14,38,3,13,26,28,12,{1,2,4,5,6,7,8,9,10,11,15,16,17,18,19,20,21,23,24,25,27,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,11,9,15,99,18,28,17,12,78,{1,2,3,4,5,7,8,10,13,14,16,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 13,2,6,4,62,24,100,18,12,45,{1,3,5,7,8,9,10,11,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,22,33,1,36,46,5,17,29,23,{2,3,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,24,25,26,27,28,30,31,32,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,24,20,1,14,22,23,3,40,58,{2,4,5,6,7,9,10,11,12,13,15,16,17,18,19,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,25,20,62,54,100,7,70,23,2,{1,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,16,71,10,31,9,1,52,17,5,{2,3,4,6,8,11,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,27,22,3,42,48,31,29,60,80,{1,2,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,28,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,37,10,52,27,65,7,33,36,55,{1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,66,8,3,9,13,34,4,7,62,{1,2,5,6,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,22,12,39,54,45,29,5,48,4,{2,3,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,46,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,48,35,11,8,4,3,13,32,{2,5,6,9,10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,9,6,5,20,11,54,64,8,52,{1,2,3,4,7,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,45,33,2,3,4,5,11,24,93,{1,6,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 2,24,12,5,6,29,11,10,42,50,{1,3,4,7,8,9,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,18,49,25,24,64,30,100,74,59,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,22,19,26,20,36,12,24,28,{1,2,3,4,5,7,9,10,11,13,14,15,16,17,18,21,23,25,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,22,50,7,18,21,16,9,12,35,{1,2,4,5,6,8,10,11,13,14,15,17,19,20,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,15,47,6,29,1,5,18,33,40,{2,3,4,7,8,9,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,4,6,19,10,1,62,33,82,89,{2,3,5,7,8,9,11,12,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 4,15,14,10,37,11,34,5,85,7,{1,2,3,6,8,9,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,31,22,17,56,72,11,5,100,24,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,18,20,21,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,34,27,31,12,10,42,39,14,40,{1,2,3,4,5,6,7,9,11,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,33,35,36,37,38,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,7,13,22,41,33,28,14,60,59,{1,2,3,4,5,6,8,9,10,11,12,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,21,2,11,25,26,20,3,22,{1,4,5,6,7,9,10,12,13,14,15,16,17,18,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,1,73,2,100,64,71,14,28,12,{3,4,5,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,47,1,12,13,73,15,76,21,34,{2,3,4,5,6,7,8,9,10,11,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,24,63,64,26,37,1,25,3,40,{2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,13,21,25,32,5,42,14,6,4,{1,2,3,7,9,10,11,12,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,35,10,4,100,42,17,3,33,25,{1,2,5,6,7,8,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,3,15,5,51,33,23,17,52,58,{1,2,4,6,7,8,9,10,11,12,13,14,16,18,19,20,21,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,72,20,87,17,35,5,24,15,{1,3,4,6,7,8,9,10,11,12,14,16,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,5,1,57,7,8,50,17,59,{2,4,6,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 70,45,7,1,15,100,19,14,5,64,{2,3,4,6,8,9,10,11,12,13,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,72,3,37,100,31,58,96,39,49,{2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 2,8,19,3,64,9,12,4,14,28,{1,5,6,7,10,11,13,15,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 56,10,74,1,13,26,14,16,31,35,{2,3,4,5,6,7,8,9,11,12,15,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,7,2,34,68,16,29,42,60,48,{1,3,4,5,6,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,2,4,22,3,96,34,12,18,{1,5,7,8,10,11,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 21,13,2,22,6,24,28,51,14,29,{1,3,4,5,7,8,9,10,11,12,15,16,17,18,19,20,23,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,14,47,100,22,72,10,40,30,{1,2,3,4,5,7,8,9,11,12,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,6,18,55,100,63,38,47,24,96,{1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 10,66,33,16,44,11,2,13,96,23,{1,3,4,5,6,7,8,9,12,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 9,10,100,11,48,32,13,93,23,18,{1,2,3,4,5,6,7,8,12,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 6,37,2,3,53,11,16,18,1,49,{4,5,7,8,9,10,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,21,2,29,11,32,36,51,18,9,{1,3,4,5,6,7,8,10,12,14,15,16,17,19,20,22,23,24,25,26,27,28,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,3,9,24,43,4,5,29,40,{1,2,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,6,16,3,8,100,17,34,1,12,{2,4,5,7,9,10,11,13,14,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,21,58,3,44,49,29,9,62,81,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,37,19,15,22,1,20,25,14,58,{2,3,4,5,6,7,8,9,10,11,12,16,17,18,21,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,1,26,19,40,35,12,49,48,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,9,3,45,14,48,28,7,1,16,{2,4,5,6,8,10,12,13,15,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,12,8,13,54,24,10,4,51,25,{1,2,3,5,6,7,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,19,3,14,56,15,18,16,90,{1,4,5,6,7,8,9,11,12,13,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 4,6,25,8,14,100,79,12,17,5,{1,2,3,7,9,10,11,13,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,22,18,10,41,12,33,30,16,4,{1,2,3,5,6,7,8,9,11,13,14,15,17,20,21,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 72,50,31,4,7,35,29,60,33,42,{1,2,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,34,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,24,20,100,99,70,29,66,41,36,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,28,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 6,53,2,41,15,36,42,44,18,4,{1,3,5,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,31,3,47,89,8,24,33,42,40,{1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,34,35,36,37,38,39,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 4,27,2,30,32,37,19,72,47,5,{1,3,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,31,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,2,13,4,33,31,6,26,9,17,{1,3,5,7,8,11,12,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,5,7,17,36,39,26,68,15,99,{1,2,3,4,6,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 20,37,22,100,6,74,70,3,24,12,{1,2,4,5,7,8,9,10,11,13,14,15,16,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,38,100,25,9,24,28,3,34,16,{1,2,4,5,6,7,8,10,11,12,13,14,15,17,19,20,21,22,23,26,27,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,3,38,34,7,9,87,60,64,47,{1,2,4,5,6,8,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,57,39,42,30,14,32,1,28,38,{2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,29,31,33,34,35,36,37,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,16,6,49,87,19,64,8,42,29,{1,2,3,4,5,7,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,34,8,11,47,100,26,5,7,23,{2,3,4,6,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,22,95,12,93,2,16,39,32,7,{1,3,4,5,6,8,9,10,11,13,14,15,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,96,97,98,99,100}
1: 1,48,79,16,25,12,15,99,8,13,{2,3,4,5,6,7,9,10,11,14,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 11,100,31,98,23,16,30,7,12,4,{1,2,3,5,6,8,9,10,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 100,53,9,2,10,24,68,40,92,18,{1,3,4,5,6,7,8,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 25,4,50,14,33,3,5,27,68,24,{1,2,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,5,8,10,45,14,36,34,28,33,{1,2,3,4,6,7,9,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,29,22,35,1,7,28,52,91,{3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,30,53,56,7,47,1,12,36,18,{2,3,4,5,6,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,11,7,4,30,29,48,23,99,38,{2,3,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 4,8,19,61,100,76,27,34,11,30,{1,2,3,5,6,7,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,2,22,27,33,23,20,32,40,38,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,21,24,25,26,28,29,30,31,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,2,73,100,13,3,10,44,89,7,{1,4,5,6,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 12,31,5,11,23,3,94,18,53,39,{1,2,4,6,7,8,9,10,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 6,48,100,13,25,1,91,3,10,24,{2,4,5,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 10,9,31,15,32,7,27,55,45,1,{2,3,4,5,6,8,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,2,1,37,43,29,20,49,3,38,{4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,27,1,21,100,41,48,18,24,35,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,20,22,23,25,26,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,47,37,41,22,39,24,92,52,16,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,38,40,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 1,19,3,30,4,100,12,14,23,24,{2,5,6,7,8,9,10,11,13,15,16,17,18,20,21,22,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,5,20,73,18,48,29,15,64,8,{1,2,3,4,6,7,9,10,11,12,13,14,16,17,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,8,6,84,7,5,12,24,17,89,{1,2,3,4,9,10,11,13,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,5,20,1,28,2,90,64,18,{3,4,6,7,9,10,11,12,13,14,15,16,17,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,25,15,5,7,48,22,39,13,90,{2,3,4,6,8,9,10,11,12,14,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,46,53,22,13,8,36,100,73,10,{2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,57,47,9,3,35,25,58,42,7,{1,2,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,1,21,34,36,29,48,8,2,17,{3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,22,23,24,26,27,28,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,9,6,25,7,41,47,29,24,17,{1,2,4,5,8,10,11,12,13,14,15,16,18,19,20,21,22,23,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,26,53,69,22,13,28,59,93,{1,2,3,4,5,6,7,8,9,10,12,14,16,17,18,19,20,21,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 14,9,17,34,23,11,3,100,49,71,{1,2,4,5,6,7,8,10,12,13,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 33,4,54,6,9,45,25,46,38,18,{1,2,3,5,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,2,13,35,17,24,22,1,7,{3,4,5,6,10,11,12,14,15,16,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,37,27,74,5,26,35,100,31,4,{1,2,3,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,28,29,30,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,14,20,100,3,4,21,18,38,{1,2,5,6,7,9,10,12,13,15,16,17,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,20,6,12,5,30,66,94,33,32,{1,2,3,4,7,8,9,10,11,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 19,8,32,44,11,2,56,38,24,12,{1,3,4,5,6,7,9,10,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,60,16,22,5,11,18,19,24,4,{2,3,6,7,8,9,10,12,13,14,15,17,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,36,26,54,5,29,24,4,97,{1,2,3,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,23,25,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 9,72,29,10,3,30,42,86,11,39,{1,2,4,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,19,8,54,88,1,4,14,38,16,{2,3,5,6,7,9,10,11,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,100,41,9,21,12,76,15,18,7,{1,2,3,4,6,8,10,11,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,33,28,51,37,61,20,57,55,23,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,24,25,26,27,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,45,2,35,72,8,12,23,11,18,{1,3,4,5,7,9,10,13,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,18,21,1,50,4,30,100,9,{3,5,6,7,8,10,11,12,14,15,16,17,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,53,14,12,100,30,6,4,43,48,{1,2,3,5,7,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,20,6,51,14,29,12,16,44,58,{1,2,3,4,5,7,8,9,10,11,13,15,17,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,5,100,17,9,14,24,28,6,4,{1,2,3,7,8,10,11,12,13,15,16,18,19,20,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,100,41,72,29,75,52,24,25,14,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,59,64,21,14,3,50,63,40,90,{1,2,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 13,51,41,21,8,3,29,24,63,16,{1,2,4,5,6,7,9,10,11,12,14,15,17,18,19,20,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,1,11,26,16,25,15,100,49,{3,4,5,6,7,8,10,12,13,14,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,37,15,14,3,42,77,20,25,10,{2,4,5,6,7,8,9,11,12,13,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,7,26,1,33,5,4,69,17,21,{2,3,6,8,9,10,11,12,13,14,15,16,18,20,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,36,1,100,2,47,9,12,29,6,{3,4,5,7,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,11,29,100,9,33,68,10,51,35,{1,2,3,4,5,6,7,8,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,6,1,12,11,39,47,4,7,56,{2,3,5,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 73,13,8,2,19,34,22,9,5,4,{1,3,6,7,10,11,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,1,71,2,3,13,10,33,28,56,{4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,7,6,16,38,4,55,33,24,{1,2,3,5,9,10,11,12,13,14,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,8,2,22,31,33,66,27,17,80,{1,3,4,5,6,7,9,11,12,13,14,15,16,18,19,20,21,23,24,25,26,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,46,2,70,41,44,63,42,5,35,{1,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,1,5,4,85,72,55,18,6,16,{2,7,8,9,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,46,26,7,4,70,17,1,51,14,{2,3,5,6,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,40,22,4,14,57,15,18,81,{1,2,3,5,6,7,10,11,12,13,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,4,37,47,24,12,3,99,51,43,{1,2,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 26,19,36,3,20,45,21,33,12,98,{1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,22,23,24,25,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 5,1,9,35,14,16,50,17,2,26,{3,4,6,7,8,10,11,12,13,15,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,8,11,47,61,20,25,100,4,7,{1,2,3,5,6,9,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,22,100,17,21,7,96,3,5,38,{1,2,6,8,9,10,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 14,2,46,9,17,3,10,15,7,27,{1,4,5,6,8,11,12,13,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,22,7,4,9,6,55,16,28,29,{1,2,5,8,10,11,12,13,14,15,17,18,19,20,21,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,18,34,23,15,21,33,17,69,38,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,19,20,22,24,26,27,28,29,30,31,32,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,100,17,5,9,3,39,20,34,59,{1,2,4,6,7,8,10,11,12,13,14,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,5,51,100,7,35,23,30,52,{1,2,3,4,6,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,22,41,37,15,91,63,12,50,6,{1,2,3,4,5,7,8,9,10,11,13,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,6,3,22,50,1,82,48,4,32,{2,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,4,51,46,12,95,89,7,1,11,{2,3,5,6,8,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,96,97,98,99,100}
1: 4,1,12,7,21,62,20,29,48,83,{2,3,5,6,8,9,10,11,13,14,15,16,17,18,19,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,3,47,13,32,82,36,67,25,31,{1,2,4,5,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,61,26,19,34,1,29,33,24,50,{3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,27,28,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 55,2,36,8,34,13,31,17,42,18,{1,3,4,5,6,7,9,10,11,12,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,55,6,23,26,3,14,25,100,49,{1,2,4,5,7,8,9,10,11,12,13,15,17,18,19,20,21,22,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,47,36,39,54,11,17,10,12,13,{1,2,3,4,5,6,7,8,9,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,10,2,51,36,11,9,5,65,3,{1,4,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,13,1,14,41,100,35,48,10,12,{2,3,4,5,6,7,8,9,11,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,36,8,24,37,6,28,21,93,29,{1,2,3,4,5,7,10,11,12,13,14,15,16,17,18,19,20,22,23,25,26,27,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 13,18,11,14,76,20,3,87,24,35,{1,2,4,5,6,7,8,9,10,12,15,16,17,19,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,100,3,30,74,67,62,26,4,32,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 75,21,11,44,12,13,15,4,1,17,{2,3,5,6,7,8,9,10,14,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,7,31,20,42,11,14,28,24,78,{1,2,3,4,5,6,9,10,12,13,15,16,17,18,19,21,22,23,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,45,10,7,5,19,11,33,54,8,{1,3,4,6,9,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,25,100,33,26,11,13,3,38,{1,4,5,7,8,9,10,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,26,27,13,31,100,4,5,65,{1,3,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,24,25,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,39,8,11,6,14,7,12,18,62,{1,2,3,4,5,9,10,13,15,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,9,22,74,37,11,42,90,39,{1,2,4,5,6,7,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 30,60,29,24,6,17,16,28,10,75,{1,2,3,4,5,7,8,9,11,12,13,14,15,18,19,20,21,22,23,25,26,27,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,13,34,18,11,100,3,15,12,40,{1,2,4,5,6,7,8,10,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,3,17,37,100,7,48,40,18,34,{1,2,5,6,8,9,10,11,12,13,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,10,14,58,25,9,4,100,57,29,{2,3,5,6,7,8,11,12,13,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,1,34,6,27,12,16,49,72,{2,3,4,5,7,9,10,11,13,14,15,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,76,15,29,1,42,12,17,93,{2,3,4,5,7,9,10,11,13,14,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 19,27,32,1,54,98,50,12,28,68,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 61,2,7,11,100,95,36,32,48,12,{1,3,4,5,6,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 17,10,25,4,26,39,75,50,16,5,{1,2,3,6,7,8,9,11,12,13,14,15,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,72,8,9,25,10,22,30,100,29,{1,2,3,4,5,7,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,29,22,34,13,24,51,56,7,88,{1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,23,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,26,2,71,100,7,89,21,4,29,{1,3,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 21,1,100,32,17,5,14,46,12,52,{2,3,4,6,7,8,9,10,11,13,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 94,6,37,15,1,38,21,100,23,42,{2,3,4,5,7,8,9,10,11,12,13,14,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 2,8,46,22,51,49,92,18,1,52,{3,4,5,6,7,9,10,11,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 36,27,73,37,16,7,13,25,1,18,{2,3,4,5,6,8,9,10,11,12,14,15,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,35,1,7,5,26,98,18,16,{2,3,4,8,9,10,11,12,13,14,15,17,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 6,43,9,44,17,3,16,12,4,14,{1,2,5,7,8,10,11,13,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,6,32,34,4,23,82,12,14,{1,3,5,7,8,9,10,11,13,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,27,11,2,98,39,17,7,23,{1,3,5,6,8,10,12,13,14,15,16,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 19,8,2,3,45,7,1,36,11,16,{4,5,6,9,10,12,13,14,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,47,17,5,19,8,24,51,77,35,{1,2,3,4,6,7,10,11,12,13,14,15,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,20,4,40,29,12,28,16,14,59,{1,2,5,6,7,8,9,10,11,13,15,17,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,6,10,7,11,8,76,31,18,28,{1,2,3,4,5,9,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,18,46,74,26,43,9,25,100,{2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,2,18,30,74,11,13,4,35,16,{1,3,5,6,7,8,9,12,14,15,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,9,37,10,20,62,25,3,7,24,{1,2,4,5,6,8,11,12,14,15,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,21,27,8,100,23,6,2,31,10,{3,4,5,7,9,11,12,13,14,15,16,17,18,19,20,22,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,95,37,4,100,22,23,5,49,17,{1,2,3,6,7,9,10,11,12,13,14,15,16,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 10,1,16,5,63,69,13,14,92,17,{2,3,4,6,7,8,9,11,12,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 2,8,7,51,50,27,10,33,28,9,{1,3,4,5,6,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,27,64,5,4,3,18,36,1,99,{2,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 3,14,18,6,34,100,5,29,11,59,{1,2,4,7,8,9,10,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,4,46,78,28,40,14,9,100,53,{1,2,3,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,2,11,49,26,23,1,21,55,18,{3,5,6,7,8,9,10,12,13,14,15,16,17,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,21,14,35,5,12,16,29,38,40,{1,2,3,4,6,7,8,9,10,13,15,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,100,41,5,87,93,16,7,29,{2,3,4,6,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,94,95,96,97,98,99}
1: 8,79,19,5,27,25,94,16,4,14,{1,2,3,6,7,9,10,11,12,13,15,17,18,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 19,11,47,9,7,55,12,30,6,4,{1,2,3,5,8,10,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,14,11,100,10,2,74,7,42,35,{1,3,4,5,6,8,9,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,11,41,3,69,45,7,5,4,{1,6,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,7,41,18,11,50,30,1,38,16,{2,3,4,5,6,8,9,10,12,13,14,15,17,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,19,13,1,6,29,25,12,42,4,{2,3,5,7,8,9,10,11,14,16,17,18,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,20,5,16,6,29,15,30,34,4,{1,2,3,7,8,9,10,11,12,13,14,17,18,19,21,22,23,24,25,26,27,28,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,47,2,8,100,64,12,16,11,69,{1,3,4,5,6,7,9,10,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,1,37,28,30,13,6,18,16,7,{2,3,4,5,8,9,10,11,12,14,15,17,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 59,1,27,21,76,77,42,30,17,23,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,22,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,2,13,12,82,1,21,51,78,{3,4,5,6,7,8,9,10,11,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,18,4,25,16,14,7,22,69,70,{1,3,5,6,8,9,10,11,12,13,15,17,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,11,100,7,24,23,46,60,30,{1,2,3,4,5,6,8,9,10,12,13,15,16,17,18,20,21,22,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,31,4,41,100,18,27,10,72,23,{1,3,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,7,15,31,18,14,12,17,6,30,{2,3,4,5,8,9,10,11,13,16,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,9,43,79,25,15,7,13,38,48,{1,2,3,4,5,6,8,10,11,12,14,16,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,11,6,21,33,43,39,1,70,{2,3,4,5,7,8,9,10,12,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,20,46,13,37,28,67,3,17,16,{1,2,4,5,6,7,8,9,10,11,12,14,15,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,29,9,4,7,16,15,44,10,32,{1,2,3,6,8,11,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,3,35,26,29,51,13,20,99,{1,2,4,5,6,7,8,9,11,12,14,15,16,17,18,19,21,22,23,24,25,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 9,15,18,11,57,40,78,14,30,12,{1,2,3,4,5,6,7,8,10,13,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,53,31,6,20,36,4,2,12,52,{1,3,5,7,8,9,10,11,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,57,41,29,24,12,14,3,16,5,{1,2,6,7,8,9,10,11,13,15,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,65,36,4,18,5,15,23,27,21,{1,2,3,6,7,8,10,11,12,13,14,16,17,19,20,22,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,100,15,65,9,7,25,36,14,10,{1,2,3,4,5,6,8,12,13,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,22,51,13,2,20,30,5,26,100,{1,3,4,7,8,9,10,11,12,14,15,16,17,18,19,21,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,100,44,29,58,20,8,17,21,4,{1,2,3,5,6,9,10,11,12,13,14,15,16,18,19,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,72,30,12,16,67,31,39,18,64,{1,2,3,4,5,6,7,8,9,11,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 30,52,15,2,27,3,1,25,19,35,{4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,26,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,5,12,28,46,70,60,14,6,4,{1,2,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,22,13,84,10,33,25,17,62,{1,2,3,5,6,7,8,11,12,14,15,16,18,19,20,21,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,1,13,36,23,2,30,62,55,{3,5,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,84,7,6,39,46,20,12,28,33,{1,2,3,4,5,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,30,1,17,16,22,13,73,12,86,{2,3,4,5,6,7,8,9,10,11,14,15,18,19,20,21,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 50,3,4,33,87,41,19,23,30,28,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,29,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,4,8,17,7,14,2,51,12,33,{1,3,5,6,9,10,11,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,15,9,5,2,98,51,83,27,23,{1,3,4,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 3,4,6,39,12,13,14,51,43,36,{1,2,5,7,8,9,10,11,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,8,100,13,5,64,12,28,17,{1,2,3,6,7,10,11,14,15,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 48,22,47,33,12,24,63,25,38,17,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,18,19,20,21,23,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,22,76,30,25,15,31,17,53,9,{1,2,3,4,5,6,8,10,11,12,13,14,16,18,19,20,21,23,24,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,11,5,3,15,28,22,39,12,{1,2,4,6,7,9,10,13,14,16,17,18,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,3,2,5,100,93,53,23,22,84,{1,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 41,37,68,31,34,18,53,12,50,54,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,22,10,17,2,77,3,37,48,29,{1,4,5,6,7,8,9,11,12,13,14,16,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,15,16,17,18,46,6,73,14,24,{1,2,3,4,5,7,8,9,10,11,12,13,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,25,23,11,78,77,40,59,72,92,{1,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 13,2,5,53,15,38,4,67,7,49,{1,3,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,2,16,25,9,11,10,40,100,90,{1,3,4,5,6,7,8,12,13,14,15,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 8,5,21,23,20,27,4,6,3,28,{1,2,7,9,10,11,12,13,14,15,16,17,18,19,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,100,10,5,30,49,58,31,48,89,{1,2,3,4,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 48,16,11,75,98,25,10,7,1,73,{2,3,4,5,6,8,9,12,13,14,15,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 8,1,4,9,11,7,100,48,17,60,{2,3,5,6,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,9,20,6,52,82,28,100,24,4,{1,3,5,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,100,15,32,13,20,26,23,51,5,{1,2,3,4,6,7,8,9,10,11,12,14,16,17,18,19,21,22,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,100,11,5,43,96,46,23,37,17,{1,3,4,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 26,4,11,14,5,36,9,31,71,58,{1,2,3,6,7,8,10,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 73,26,21,11,20,7,29,80,23,6,{1,2,3,4,5,8,9,10,12,13,14,15,16,17,18,19,22,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,1,26,3,25,54,17,29,38,{4,5,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,26,9,23,81,32,7,11,10,59,{1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,47,13,5,12,7,36,30,24,4,{2,3,6,8,9,10,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,5,100,32,4,71,63,43,47,{1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,19,8,34,58,36,49,15,4,28,{1,2,3,5,6,7,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 77,23,8,100,26,29,17,4,7,48,{1,2,3,5,6,9,10,11,12,13,14,15,16,18,19,20,21,22,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,6,22,3,34,31,23,7,46,28,{1,2,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,60,11,33,63,4,7,8,2,44,{1,3,5,6,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,30,19,5,14,17,21,10,99,{1,2,3,4,7,8,9,11,12,13,15,16,18,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 27,1,28,64,51,2,85,9,14,38,{3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,27,32,21,37,33,44,41,7,2,{3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,34,35,36,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,37,2,58,29,50,28,35,69,{1,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,12,100,26,18,23,88,60,8,{1,2,3,5,6,7,9,10,11,13,14,15,16,17,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 100,2,62,37,22,21,60,67,57,17,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,61,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,8,14,57,10,3,55,23,16,6,{1,2,5,7,9,11,12,13,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,7,43,22,48,1,11,30,59,{3,4,5,6,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,15,3,5,57,12,33,17,4,{1,2,7,8,9,10,11,13,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,35,3,6,44,4,2,16,18,75,{1,5,7,8,9,10,11,12,13,14,15,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,29,53,65,8,4,37,12,17,52,{1,2,3,5,6,7,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,8,58,6,22,5,27,40,16,14,{1,2,3,4,7,9,10,11,12,13,15,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,2,32,11,20,12,23,34,100,92,{3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,21,22,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 1,62,21,13,3,51,100,35,42,16,{2,4,5,6,7,8,9,10,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,44,100,9,73,91,7,96,17,{1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,97,98,99}
1: 4,26,7,52,19,29,61,20,60,34,{1,2,3,5,6,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,26,92,31,17,45,35,51,4,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 13,41,8,5,22,3,11,52,28,12,{1,2,4,6,7,9,10,14,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,3,56,18,13,20,9,1,17,{2,4,5,7,10,11,12,14,15,16,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,11,22,14,25,100,70,61,23,{1,2,3,4,5,6,7,9,10,12,13,15,16,17,18,20,21,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,12,65,50,24,13,29,17,36,1,{2,3,4,5,6,7,8,9,10,11,14,15,16,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,1,25,18,6,28,46,29,35,{3,4,5,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,7,29,3,100,25,22,17,15,33,{1,2,4,5,6,8,9,10,11,12,13,14,16,18,19,20,21,23,24,26,27,28,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,37,39,32,36,23,14,51,24,74,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,19,20,21,22,25,26,27,28,29,30,31,33,34,35,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,20,41,14,10,21,100,5,23,69,{1,2,3,6,7,8,9,11,12,13,15,16,17,18,19,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,46,27,16,9,7,26,15,12,54,{1,2,3,4,5,6,8,10,11,13,14,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,33,20,49,63,11,100,3,40,{2,5,6,7,8,9,10,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,3,26,40,34,56,16,53,95,94,{1,2,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,96,97,98,99,100}
1: 2,8,24,78,41,20,30,21,34,37,{1,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,27,28,29,31,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,34,20,62,21,54,76,3,5,52,{1,2,4,6,7,8,9,10,11,12,13,14,15,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,13,3,100,21,66,83,77,56,{1,2,5,7,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,6,100,26,25,13,31,59,28,{1,2,3,4,5,7,8,9,11,12,14,15,16,17,18,20,21,22,23,24,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,19,26,31,20,17,25,1,18,10,{2,3,4,5,6,7,8,9,11,13,14,15,16,21,22,23,24,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,6,74,1,3,5,77,28,68,{2,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,19,11,9,36,13,24,12,60,{1,2,3,4,5,6,7,10,14,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,36,45,20,50,18,72,5,76,75,{1,2,3,4,6,7,8,9,10,11,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,6,13,27,2,10,49,30,35,{1,3,5,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 28,12,9,7,22,27,11,1,26,44,{2,3,4,5,6,8,10,13,14,15,16,17,18,19,20,21,23,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,10,33,100,1,44,49,16,29,40,{2,3,4,5,6,7,8,9,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,43,2,11,26,10,1,15,41,12,{3,4,5,6,7,9,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 57,80,48,6,19,3,65,15,18,36,{1,2,4,5,7,8,9,10,11,12,13,14,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 46,31,50,26,13,8,2,100,59,4,{1,3,5,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,3,38,4,57,41,27,14,25,13,{2,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,22,37,44,2,50,65,100,24,23,{1,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,2,32,74,11,6,14,16,17,99,{1,3,4,5,7,8,9,10,12,13,15,18,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 100,6,22,53,27,68,13,12,62,1,{2,3,4,5,7,8,9,10,11,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,13,9,48,6,82,14,17,43,100,{1,3,4,5,7,8,10,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,6,15,1,3,21,44,28,40,51,{2,4,5,7,8,9,11,12,13,14,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,53,9,15,28,18,22,32,5,17,{1,2,3,4,6,7,8,10,11,12,13,14,16,19,20,21,23,24,25,26,27,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,1,3,64,52,20,11,13,31,24,{2,4,5,6,7,8,9,10,12,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,4,62,14,23,10,32,11,72,16,{1,2,3,5,6,7,8,9,12,13,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,9,3,22,100,25,44,32,29,28,{1,2,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,58,7,28,48,4,27,54,2,18,{1,3,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,8,21,26,60,7,23,38,100,{1,2,3,4,5,6,9,11,12,13,15,16,17,18,19,20,22,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,79,100,15,30,1,26,3,24,56,{2,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,25,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 38,3,26,74,1,11,14,9,46,42,{2,4,5,6,7,8,10,12,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,2,27,36,71,33,68,29,4,{1,3,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,16,12,65,34,32,49,20,46,{1,3,4,5,6,7,8,9,11,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,4,15,24,22,10,66,9,2,7,{1,3,5,6,8,11,12,13,14,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,4,13,43,2,56,59,48,9,41,{1,3,5,6,7,8,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,21,15,100,39,26,50,43,5,3,{1,2,4,6,7,8,9,10,11,12,14,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,19,17,24,2,88,13,5,3,26,{1,4,6,7,9,10,11,12,14,15,16,18,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,6,25,3,18,24,47,72,48,45,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,11,75,100,10,23,50,40,17,{1,3,4,5,6,7,9,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,100,79,3,5,15,22,12,28,23,{1,2,4,6,7,9,10,11,13,14,16,17,18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,31,100,7,36,21,15,18,55,4,{1,2,3,5,6,9,10,11,12,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,41,100,5,31,39,34,38,51,44,{1,2,3,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,37,40,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 60,25,31,15,14,10,18,23,27,4,{1,2,3,5,6,7,8,9,11,12,13,16,17,19,20,21,22,24,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,79,8,22,91,23,11,6,7,49,{1,2,3,4,9,10,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 35,13,18,100,24,61,25,21,5,60,{1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,19,20,22,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,5,61,18,21,26,6,10,45,38,{2,3,4,7,8,9,11,12,13,14,15,16,17,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,99,5,12,100,30,25,10,39,{1,2,3,6,7,8,9,11,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 1,6,28,39,18,21,2,57,33,41,{3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,18,100,84,31,17,5,80,33,24,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,8,61,2,14,18,5,100,1,4,{3,6,7,9,10,11,12,13,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,13,47,4,8,41,12,7,2,17,{1,3,5,6,9,10,11,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,47,9,4,13,24,82,34,26,97,{1,2,3,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 12,4,11,39,27,65,47,100,33,72,{1,2,3,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,3,62,21,9,34,26,11,46,1,{2,4,5,6,7,10,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 39,27,13,25,1,9,77,60,18,35,{2,3,4,5,6,7,8,10,11,12,14,15,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,8,2,20,15,21,32,23,52,12,{1,3,4,5,6,7,9,10,13,14,16,17,18,19,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,15,71,25,74,23,28,30,17,{1,3,4,5,6,7,8,9,10,11,12,14,16,18,19,20,21,22,24,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,4,26,48,5,56,7,83,38,59,{1,2,3,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,21,3,8,76,34,14,1,23,15,{2,4,5,6,7,10,11,12,13,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,15,79,27,12,23,24,39,28,{1,3,4,5,6,7,8,9,10,11,13,14,16,17,18,19,21,22,25,26,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,11,14,12,7,38,32,24,96,{1,2,3,4,6,8,9,10,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 4,37,22,100,32,55,62,81,12,24,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,36,1,10,28,17,21,48,11,63,{2,3,5,6,7,8,9,12,13,14,15,16,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,22,2,21,36,39,17,41,33,{3,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,23,24,25,26,27,28,29,30,31,32,34,35,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,70,79,100,35,32,26,28,5,{1,2,3,4,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,7,15,23,31,2,26,94,13,17,{1,4,5,6,8,9,10,11,12,14,16,18,19,20,21,22,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 19,10,26,1,32,15,92,23,17,13,{2,3,4,5,6,7,8,9,11,12,14,16,18,20,21,22,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 41,8,36,4,1,6,44,72,7,71,{2,3,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,7,37,82,58,12,39,24,59,{2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,19,15,7,44,77,63,5,6,4,{1,3,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,64,11,26,23,18,17,51,46,14,{1,2,3,4,5,6,7,8,9,10,12,15,16,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,11,61,44,100,6,30,3,69,28,{1,2,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,13,22,36,11,23,5,21,16,55,{1,2,3,4,6,7,8,9,10,12,14,17,18,19,20,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,27,10,21,73,3,71,38,26,93,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 30,25,11,3,100,86,6,23,12,29,{1,2,4,5,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,37,5,41,25,9,1,63,48,4,{2,3,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,62,20,7,9,5,4,16,17,14,{1,2,3,6,8,10,11,12,13,15,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,100,4,3,54,23,1,12,45,77,{2,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,10,42,23,46,27,5,2,26,34,{1,3,4,6,7,8,11,12,13,14,15,16,17,18,19,20,21,22,24,25,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,41,22,10,25,11,28,5,6,7,{1,2,3,4,8,9,12,13,14,16,17,18,19,20,21,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 45,2,62,56,18,52,36,20,49,16,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,50,51,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,11,15,7,60,36,67,32,17,{1,2,3,4,5,8,10,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,7,38,48,37,23,50,49,42,{1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,43,44,45,46,47,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,9,20,80,14,11,78,13,6,30,{1,2,3,4,5,8,10,12,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,14,59,11,9,6,39,23,74,40,{1,2,3,4,5,7,8,10,12,13,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,19,70,11,20,44,27,7,84,{1,2,3,4,5,6,9,12,13,14,15,16,17,18,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,14,63,5,23,3,59,49,7,{1,4,6,8,9,10,11,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,8,5,46,24,16,65,23,4,{1,2,3,6,7,9,10,12,13,14,15,17,18,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,49,40,6,7,16,21,55,51,32,{1,2,3,4,5,8,9,10,11,12,13,14,15,17,18,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,100,1,26,22,38,5,13,57,4,{2,3,6,7,8,9,10,11,12,14,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,4,10,46,100,58,64,5,14,15,{1,2,3,6,7,8,9,11,12,13,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,7,2,36,59,10,14,55,63,75,{1,3,4,5,6,8,9,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,60,61,62,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,20,7,61,5,37,28,82,45,18,{1,3,4,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,19,4,20,36,18,12,16,28,14,{1,2,3,5,6,8,9,10,11,13,15,17,21,22,23,24,25,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,1,33,24,9,8,7,22,16,21,{2,3,4,5,6,10,11,12,13,14,15,17,18,19,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,4,2,9,25,33,6,44,35,29,{1,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,14,30,8,24,45,98,5,2,37,{1,3,4,6,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 15,27,41,63,93,26,58,29,18,100,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 6,4,11,28,8,38,31,100,36,60,{1,2,3,5,7,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,25,51,30,53,33,14,54,28,7,{1,2,4,5,6,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,26,27,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,30,3,31,21,19,12,10,27,75,{1,2,4,5,6,7,8,9,11,13,14,15,16,17,18,20,22,23,24,25,26,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,2,19,16,55,46,95,32,3,18,{1,4,5,6,7,8,9,10,11,12,13,14,17,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 15,13,28,17,32,51,34,36,74,45,{1,2,3,4,5,6,7,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,29,30,31,33,35,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,19,1,10,39,62,12,7,18,{2,3,4,5,6,8,9,11,13,14,16,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 29,99,37,4,35,39,17,69,34,25,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,30,31,32,33,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 15,19,36,50,11,27,7,63,51,23,{1,2,3,4,5,6,8,9,10,12,13,14,16,17,18,20,21,22,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,4,9,46,34,10,36,33,14,95,{1,2,3,5,6,7,8,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 7,2,45,25,37,17,12,20,10,4,{1,3,5,6,8,9,11,13,14,15,16,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,25,17,3,14,11,4,61,8,18,{1,2,6,7,9,10,12,13,15,16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,6,11,43,10,27,12,33,7,38,{1,2,3,4,5,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,50,3,100,81,21,49,23,29,{1,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,2,20,7,49,29,8,28,38,4,{1,3,5,6,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,37,45,8,9,18,14,13,52,23,{1,2,3,4,5,6,7,10,11,12,16,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,52,7,4,2,10,97,44,69,64,{1,3,5,6,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 14,4,11,35,5,46,23,38,6,27,{1,2,3,7,8,9,10,12,13,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,53,11,44,88,17,31,24,18,33,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 53,64,26,15,11,22,4,60,16,56,{1,2,3,5,6,7,8,9,10,12,13,14,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,27,48,7,24,50,2,3,39,67,{1,4,5,6,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,23,67,21,18,13,29,24,84,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,20,22,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,1,20,13,49,65,2,26,3,32,{4,5,6,7,8,9,10,11,12,14,15,17,18,19,21,22,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,4,21,2,8,9,25,1,29,43,{3,5,6,7,10,11,12,13,14,15,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,13,100,74,22,20,14,9,11,{2,3,5,6,7,8,10,12,15,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,11,20,9,15,1,16,14,38,56,{2,3,4,5,6,7,8,10,12,13,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,10,100,12,6,29,18,1,43,23,{2,4,5,7,8,9,11,13,14,15,16,17,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,9,13,39,32,8,6,16,4,7,{1,2,3,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,6,15,9,10,42,46,2,23,35,{1,3,4,5,7,8,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,14,51,17,44,7,50,71,40,{2,3,4,5,6,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,14,11,27,67,1,100,52,3,17,{2,4,5,6,7,8,9,10,12,13,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,21,52,7,10,11,28,3,16,14,{1,2,4,5,6,8,9,12,13,15,17,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,6,13,87,15,39,78,81,17,{2,3,4,5,8,9,10,11,12,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,26,100,4,6,16,57,52,42,58,{1,2,3,5,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,43,87,13,12,14,56,8,60,16,{1,2,3,4,5,6,7,9,11,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,100,10,3,7,65,22,30,94,12,{1,2,4,5,6,8,9,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 66,17,37,9,45,5,10,72,27,13,{1,2,3,4,6,7,8,11,12,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,19,76,32,20,41,39,28,24,12,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,21,22,23,26,27,29,30,31,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,18,5,1,9,10,19,34,14,16,{2,3,4,6,7,11,12,13,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,26,25,1,20,39,63,52,28,75,{2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,21,22,23,24,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,26,27,34,18,29,32,24,56,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,25,28,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,15,76,45,14,20,46,4,86,49,{2,3,5,6,7,8,9,10,11,12,13,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,1,22,11,3,39,17,5,87,71,{2,4,6,7,8,9,10,12,13,15,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,27,18,8,21,2,37,15,45,49,{1,3,5,6,7,9,10,11,12,13,14,16,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,44,3,7,60,37,20,33,14,96,{1,2,4,5,6,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 6,2,31,38,9,7,5,24,95,35,{1,3,4,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 26,53,13,5,100,30,20,12,93,23,{1,2,3,4,6,7,8,9,10,11,14,15,16,17,18,19,21,22,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 1,6,21,2,24,39,100,14,40,4,{3,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,4,15,3,10,32,24,7,59,14,{1,2,5,6,8,9,11,12,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,5,10,20,8,2,40,53,7,25,{1,3,4,6,9,11,12,13,14,15,16,17,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,21,25,31,6,71,47,4,12,{1,2,3,5,7,9,10,11,13,14,16,17,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,21,27,2,39,5,12,62,54,16,{1,3,4,7,8,9,10,11,13,14,15,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,6,11,5,37,18,10,28,24,{1,3,4,7,8,12,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 40,11,32,10,94,20,28,2,68,60,{1,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 83,27,64,21,7,15,1,8,42,38,{2,3,4,5,6,9,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,22,100,3,30,11,87,58,40,{1,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 91,9,7,2,34,13,5,38,20,28,{1,3,4,6,8,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 1,3,9,26,12,29,4,56,14,62,{2,5,6,7,8,10,11,13,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,71,34,9,16,15,22,18,20,28,{1,2,3,4,5,6,7,8,10,11,12,13,14,17,19,21,23,24,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,7,10,75,11,15,20,45,36,{1,2,3,4,5,6,9,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,16,6,41,42,9,2,68,20,15,{1,3,4,5,7,8,10,11,12,13,14,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,13,30,24,51,6,40,85,32,{1,2,3,4,5,7,8,9,10,12,14,15,16,17,18,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,43,40,20,34,21,7,12,6,{1,2,3,4,5,9,10,11,13,14,15,16,17,18,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,8,4,9,11,41,14,56,2,3,{1,5,6,7,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,10,4,22,76,24,15,25,96,36,{2,3,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,23,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 15,3,7,100,10,14,1,35,97,42,{2,4,5,6,8,9,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 40,83,30,5,11,39,21,25,23,36,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,20,22,24,26,27,28,29,31,32,33,34,35,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,100,17,11,55,7,58,37,16,44,{1,2,3,4,5,6,8,9,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,11,19,3,5,25,68,42,30,17,{1,2,4,6,7,9,10,12,13,14,15,16,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,29,9,47,14,100,96,82,45,59,{1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 7,10,22,19,20,42,18,59,31,23,{1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,21,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 71,100,26,89,14,49,10,4,17,9,{1,2,3,5,6,7,8,11,12,13,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 24,37,30,15,100,25,14,49,1,7,{2,3,4,5,6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,100,39,85,18,23,12,54,8,41,{1,2,3,4,5,6,7,9,10,11,13,14,15,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 24,20,4,31,64,34,6,100,29,7,{1,2,3,5,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,27,28,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,52,1,23,41,38,4,30,5,10,{2,3,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,20,100,11,23,57,7,26,12,{1,3,4,5,6,8,9,10,14,15,16,17,18,19,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,100,7,2,10,41,66,12,90,{3,4,5,6,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 11,19,47,14,31,29,15,16,54,90,{1,2,3,4,5,6,7,8,9,10,12,13,17,18,20,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 4,10,13,20,3,21,49,30,16,23,{1,2,5,6,7,8,9,11,12,14,15,17,18,19,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,72,57,50,21,18,38,73,23,17,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,51,33,22,93,3,44,71,29,{1,2,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 27,13,20,9,25,1,21,7,29,48,{2,3,4,5,6,8,10,11,12,14,15,16,17,18,19,22,23,24,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,4,13,20,44,18,56,100,5,7,{1,2,3,8,9,10,11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,8,6,38,7,5,12,30,11,63,{1,2,3,4,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,22,6,8,14,30,1,17,78,25,{2,3,4,5,7,9,10,11,12,13,16,18,19,20,21,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 75,15,70,5,13,21,20,49,25,10,{1,2,3,4,6,7,8,9,11,12,14,16,17,18,19,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,3,37,14,1,11,13,5,45,32,{2,6,7,8,9,10,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,6,2,5,100,21,13,17,39,28,{1,3,4,7,8,9,10,11,12,15,16,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,6,100,13,11,64,1,5,74,86,{2,3,4,7,8,9,10,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,32,27,23,11,25,4,85,49,24,{1,2,3,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,16,58,100,11,25,31,14,51,34,{1,2,3,4,5,6,8,9,10,12,13,15,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,1,7,49,5,14,87,42,23,17,{2,3,4,6,8,9,10,11,12,13,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,9,1,76,41,5,7,24,39,18,{2,4,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,2,46,21,6,33,16,10,15,58,{1,3,4,5,7,8,9,11,12,13,14,17,18,19,20,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,6,33,2,58,76,25,1,7,40,{3,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,1,14,5,29,21,15,25,64,{2,3,4,6,7,9,10,11,12,13,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,1,7,12,24,60,14,35,13,18,{2,3,4,5,6,8,9,10,11,15,16,17,19,20,21,22,23,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,4,13,26,16,7,10,14,41,43,{1,3,5,6,8,9,11,12,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,28,33,19,29,3,22,59,9,14,{1,2,4,5,6,7,8,10,11,12,13,15,16,17,18,20,21,23,24,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,7,12,88,1,2,6,23,52,24,{3,4,5,8,9,11,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,5,10,15,8,33,14,73,44,6,{1,2,3,4,7,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,15,17,1,7,2,46,21,37,4,{3,5,6,8,9,10,11,12,13,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,11,20,13,100,45,60,24,6,{1,3,4,5,7,8,9,10,12,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,20,15,21,32,2,18,100,16,6,{1,3,4,5,7,8,9,10,12,13,14,17,19,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,6,37,11,5,46,68,35,17,1,{2,3,4,7,8,9,10,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,41,10,13,15,21,12,24,70,5,{1,2,3,4,7,8,9,11,14,16,17,18,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,70,54,12,11,35,5,46,23,92,{1,2,3,4,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 13,27,9,25,17,26,29,18,51,36,{1,2,3,4,5,6,7,8,10,11,12,14,15,16,19,20,21,22,23,24,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,11,32,22,6,26,18,29,17,5,{1,2,3,4,7,8,9,10,12,14,15,16,19,20,21,23,24,25,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,41,3,11,46,21,37,28,70,{1,2,4,5,7,8,9,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,8,6,23,16,30,48,70,42,95,{1,2,3,4,5,7,9,10,11,12,13,14,15,17,18,19,20,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 48,31,100,2,78,27,40,24,52,6,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,6,13,44,82,12,14,66,33,51,{1,2,3,4,5,8,9,10,11,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,35,20,9,16,11,1,29,60,30,{2,3,4,5,6,7,8,10,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,32,24,14,43,22,39,100,60,16,{1,2,3,4,5,6,7,8,9,10,12,13,15,17,18,19,20,21,23,25,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,37,25,22,21,16,23,48,4,35,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,24,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,100,5,3,4,44,88,40,33,63,{1,2,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 45,20,1,21,18,32,55,43,100,24,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,1,100,23,62,7,22,30,78,29,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,27,28,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,30,20,40,14,18,43,6,17,4,{1,3,5,7,8,9,10,11,12,13,15,16,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,21,13,47,10,18,12,93,28,38,{1,2,3,4,5,7,8,9,11,14,15,16,17,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 37,9,3,29,22,40,41,54,27,39,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,30,31,32,33,34,35,36,38,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,51,18,37,16,79,89,12,25,98,{1,2,3,4,5,6,7,9,10,11,13,14,15,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,99,100}
1: 100,5,14,4,52,45,20,67,42,21,{1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,23,22,30,56,41,79,20,1,{3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,21,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,27,3,12,13,14,21,25,30,{1,2,4,5,6,7,8,9,10,15,16,17,18,20,22,23,24,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,9,47,20,10,37,31,62,22,28,{1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,21,23,24,25,26,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,3,11,41,46,33,43,75,48,{1,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,31,2,1,5,3,88,24,60,30,{4,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,73,22,5,23,45,6,79,14,92,{1,2,3,4,7,9,10,11,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 4,91,6,1,87,5,31,2,12,37,{3,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,92,93,94,95,96,97,98,99,100}
1: 47,53,32,50,57,5,34,27,35,58,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,13,79,22,3,6,8,15,19,40,{1,2,4,5,7,9,10,12,14,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,56,7,41,100,8,32,11,10,76,{1,2,3,4,5,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,2,1,5,27,31,13,17,23,{3,4,6,7,9,11,12,14,15,16,18,19,20,21,22,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,15,18,2,32,21,10,11,94,46,{1,3,5,6,7,8,9,12,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 19,6,18,17,99,65,75,48,71,3,{1,2,4,5,7,8,9,10,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 2,28,4,23,14,99,35,84,25,18,{1,3,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,24,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 15,9,27,69,20,52,57,78,28,16,{1,2,3,4,5,6,7,8,10,11,12,13,14,17,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,13,9,30,22,3,4,21,26,55,{1,2,5,6,7,8,10,12,14,15,16,17,18,19,20,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,56,12,30,92,33,66,100,37,18,{2,3,4,5,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 8,6,15,10,100,22,11,56,40,12,{1,2,3,4,5,7,9,13,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,19,100,11,49,48,10,34,23,{1,2,3,5,6,7,8,9,12,13,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,5,32,10,63,2,42,21,40,4,{1,3,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,8,15,34,11,2,100,14,46,30,{1,3,5,6,7,9,10,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,41,13,25,33,14,1,3,29,5,{2,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,26,27,28,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,26,7,3,66,35,29,4,77,38,{1,2,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,34,4,6,1,27,18,23,5,3,{2,7,8,9,10,12,13,14,15,16,17,19,20,21,22,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,11,53,2,96,65,100,43,25,24,{1,3,4,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 36,19,14,28,31,44,78,40,21,34,{1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,20,22,23,24,25,26,27,29,30,32,33,35,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,46,37,66,22,47,89,30,3,7,{1,2,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,85,100,7,46,48,51,28,6,58,{1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,53,13,9,5,38,1,19,58,3,{2,4,6,7,8,10,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 88,9,13,82,1,19,24,100,4,53,{2,3,5,6,7,8,10,11,12,14,15,16,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 95,19,9,87,59,8,100,58,49,17,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,96,97,98,99}
1: 10,61,2,18,27,21,35,14,69,7,{1,3,4,5,6,8,9,11,12,13,15,16,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,45,28,1,29,30,76,34,37,23,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,31,32,33,35,36,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,29,1,2,18,8,41,4,39,12,{3,5,6,7,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,8,76,3,13,25,54,23,60,74,{1,2,4,5,6,7,9,10,11,12,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,2,37,13,1,100,62,23,5,12,{3,4,6,8,9,10,11,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,79,21,26,96,2,8,12,80,3,{1,4,5,6,7,10,11,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 9,11,13,15,2,7,10,12,16,28,{1,3,4,5,6,8,14,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,27,22,100,1,53,29,52,28,25,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24,26,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 34,11,15,78,68,24,7,22,16,45,{1,2,3,4,5,6,8,9,10,12,13,14,17,18,19,20,21,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,13,1,4,62,8,61,100,7,{2,3,5,6,9,10,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,1,12,7,17,36,15,13,75,6,{2,3,4,5,8,9,10,11,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 54,43,1,24,100,8,2,31,5,58,{3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 45,30,2,26,16,21,25,12,38,28,{1,3,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,22,23,24,27,29,31,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,3,75,74,33,44,12,50,42,{1,2,4,5,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,35,4,5,63,29,54,77,27,{1,2,3,6,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,13,29,46,7,11,47,35,17,42,{1,3,4,5,6,8,9,10,12,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,21,50,7,3,22,45,99,25,{1,2,4,5,8,9,10,11,12,13,14,15,16,17,18,20,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 64,13,2,38,7,77,51,20,52,6,{1,3,4,5,8,9,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,20,2,9,4,11,100,38,7,18,{1,5,6,8,10,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,1,15,6,51,14,13,25,12,20,{2,3,4,5,7,8,9,10,11,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 60,37,41,15,18,31,27,1,16,11,{2,3,4,5,6,7,8,9,10,12,13,14,17,19,20,21,22,23,24,25,26,28,29,30,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,27,13,34,8,7,9,50,56,36,{1,2,3,4,5,6,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,45,10,1,14,29,43,17,75,67,{3,4,5,6,7,8,9,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,8,47,25,1,38,100,11,13,12,{2,3,4,5,6,7,9,10,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,4,9,27,1,29,42,12,52,7,{2,3,5,6,8,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,20,58,100,30,52,1,3,71,7,{2,4,5,6,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,49,12,8,18,6,31,17,23,45,{1,2,3,4,5,7,9,10,11,13,15,16,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,14,11,1,26,10,30,23,70,16,{2,3,4,5,6,7,8,9,12,13,17,18,19,20,21,22,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,19,8,17,9,2,68,24,63,5,{1,3,4,6,7,10,11,12,13,14,16,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,15,27,100,7,22,90,51,29,{1,2,3,4,5,6,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 5,26,12,47,51,42,9,53,4,6,{1,2,3,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,43,19,9,40,7,3,31,82,51,{1,2,4,5,6,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,34,6,3,15,42,67,7,55,95,{1,4,5,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 14,2,9,34,6,56,24,28,42,16,{1,3,4,5,7,8,10,11,12,13,15,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,25,21,59,39,23,100,50,29,38,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,26,27,28,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,74,43,100,5,9,6,44,12,4,{1,2,3,7,8,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,21,1,38,6,74,14,22,35,63,{2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,42,10,44,4,31,65,8,17,28,{1,2,3,5,6,7,9,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,28,10,5,3,75,9,11,82,34,{1,2,4,6,7,8,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,100,8,30,19,20,50,25,15,14,{1,2,3,4,5,6,7,9,10,11,12,13,16,17,18,21,22,23,24,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,14,1,2,20,25,22,100,3,7,{4,5,8,9,10,11,12,13,15,16,17,18,19,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,8,19,16,39,22,100,67,5,10,{1,2,3,4,6,7,9,11,12,13,14,15,17,18,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,50,9,15,12,82,5,23,100,52,{1,2,3,4,6,7,8,11,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,36,11,7,5,38,18,56,51,52,{1,2,3,4,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,18,11,7,1,100,28,23,36,39,{2,3,4,5,6,8,9,10,12,14,15,16,17,19,20,21,22,24,25,26,27,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,1,19,61,26,32,36,23,63,12,{2,3,4,5,6,7,8,10,11,13,14,15,16,17,18,20,21,22,24,25,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,21,42,28,39,12,35,9,66,71,{1,3,4,5,6,7,8,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,45,11,21,46,22,9,35,24,{1,2,3,4,5,6,7,10,12,13,14,15,16,17,18,20,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,12,4,20,33,29,74,40,79,9,{1,2,5,6,7,8,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,17,20,24,10,33,70,18,28,44,{1,2,3,4,5,7,8,9,11,12,13,14,15,16,19,21,22,23,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,19,61,4,44,98,66,29,17,5,{2,3,6,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 8,2,73,47,6,33,100,3,5,20,{1,4,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,8,15,16,2,5,23,57,12,38,{1,3,4,6,7,9,10,11,13,14,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,3,1,57,33,4,14,5,12,24,{2,6,7,8,9,10,11,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,68,79,18,11,29,7,12,8,64,{1,2,3,4,5,6,9,10,13,14,15,16,17,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,17,11,10,27,1,26,7,93,16,{2,3,4,5,8,9,12,13,14,15,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 16,35,62,100,43,85,49,27,1,33,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,4,34,9,14,8,17,5,66,90,{1,2,3,7,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 4,15,22,100,11,21,7,1,82,46,{2,3,5,6,8,9,10,12,13,14,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,53,15,22,26,100,1,46,84,4,{2,3,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 45,26,6,27,46,40,31,16,1,19,{2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,11,23,74,18,31,24,55,6,15,{1,2,3,4,5,7,8,9,12,13,14,16,17,19,20,21,22,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,3,44,61,100,52,25,18,5,55,{1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 59,41,9,1,5,14,18,10,24,29,{2,3,4,6,7,8,11,12,13,15,16,17,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,24,6,8,18,31,11,39,30,57,{1,2,3,4,5,7,9,10,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,32,33,34,35,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,10,14,6,1,27,52,21,35,55,{2,3,4,7,8,9,11,12,13,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,37,2,32,13,44,14,30,8,12,{1,3,4,5,6,7,9,10,11,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,53,26,33,57,11,39,4,7,69,{1,3,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,1,15,55,48,20,2,34,100,9,{3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,9,38,18,5,26,2,51,30,48,{1,3,4,6,7,8,10,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,3,26,1,25,11,100,12,4,59,{2,5,6,7,8,9,10,13,14,15,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 47,13,9,20,6,16,34,5,49,25,{1,2,3,4,7,8,10,11,12,14,15,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,27,6,2,100,7,73,4,17,32,{1,3,5,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,19,26,15,5,50,38,85,21,4,{1,2,3,6,7,8,10,11,12,13,14,16,17,18,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,19,3,18,52,16,1,42,6,70,{2,5,7,8,9,10,11,12,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,61,100,9,22,52,35,3,5,12,{1,2,4,6,7,8,10,11,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,18,23,37,14,51,30,72,29,70,{2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,19,20,21,22,24,25,26,27,28,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,100,19,5,9,36,24,32,4,6,{1,2,3,7,8,10,11,12,13,14,16,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,100,19,7,13,11,43,5,27,1,{2,3,4,8,9,10,12,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,37,2,77,21,23,69,27,30,75,{1,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,22,24,25,26,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,6,15,3,14,43,58,40,60,{1,2,4,5,7,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,6,2,100,52,18,95,14,23,17,{1,3,4,5,7,8,9,10,11,12,13,16,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 4,13,9,6,11,16,23,35,3,34,{1,2,5,7,8,10,12,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,19,54,46,3,50,17,25,1,40,{2,4,5,6,7,8,9,10,11,12,14,15,16,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,22,4,62,6,24,8,12,33,91,{1,2,3,7,9,10,11,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 8,16,2,38,3,5,6,9,24,7,{1,4,10,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,37,13,14,3,24,18,11,40,21,{2,4,5,6,7,8,9,10,12,15,16,17,19,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,26,47,24,13,43,55,32,50,30,{1,2,3,4,5,6,7,8,10,11,12,14,15,16,17,18,19,20,21,22,23,25,27,28,29,31,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,9,18,12,51,17,1,25,62,{2,3,5,6,7,10,11,13,14,15,16,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,34,13,9,63,24,19,31,23,48,{1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,20,21,22,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,37,6,22,43,14,50,27,41,32,{1,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,33,34,35,36,38,39,40,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,11,9,51,21,67,40,62,12,{1,2,3,4,5,6,7,10,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,20,10,1,100,16,11,9,91,13,{2,3,4,5,6,7,8,12,14,15,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 8,11,20,26,28,51,100,78,25,4,{1,2,3,5,6,7,9,10,12,13,14,15,16,17,18,19,21,22,23,24,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,7,14,16,34,17,38,18,12,3,{1,2,4,5,6,8,10,11,13,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,15,25,20,38,11,29,76,3,73,{1,2,4,5,6,7,8,9,10,12,13,14,16,17,18,19,21,22,23,24,26,27,28,30,31,32,33,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,41,17,20,16,30,68,12,7,55,{1,2,3,4,5,6,8,9,10,11,13,14,15,18,19,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,43,11,50,29,5,49,24,17,{2,3,4,6,7,8,9,10,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,79,41,38,100,3,71,31,10,1,{4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,7,85,45,13,41,56,35,4,48,{1,2,3,5,6,8,9,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,53,36,32,62,44,33,54,12,16,{1,2,3,4,5,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,100,3,25,23,34,49,42,56,14,{1,2,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,38,8,4,2,20,24,12,1,7,{3,5,6,9,10,11,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,75,46,28,33,23,26,35,36,89,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,27,29,30,31,32,34,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 100,8,27,20,10,30,46,14,4,70,{1,2,3,5,6,7,9,11,12,13,15,16,17,18,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,51,6,36,100,28,12,5,17,16,{1,2,3,4,7,8,9,10,11,13,14,15,18,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,44,8,7,48,74,2,13,31,14,{1,3,4,5,6,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,12,21,1,2,8,53,10,7,62,{3,4,5,6,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,17,3,32,16,10,12,9,8,{2,4,5,6,7,11,13,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,39,46,21,19,14,1,9,18,44,{2,3,4,5,6,7,8,10,11,12,13,15,16,17,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,10,6,44,7,2,25,43,49,27,{1,3,4,5,8,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,18,71,15,79,17,51,24,4,{3,5,6,7,8,9,10,11,12,13,14,16,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,12,99,4,1,30,27,24,17,43,{2,3,5,6,7,9,10,11,13,14,15,16,18,19,20,21,22,23,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 6,1,33,100,3,4,9,19,8,35,{2,5,7,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,100,33,20,13,25,95,35,70,10,{1,2,3,4,5,6,7,8,9,11,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 34,28,57,1,33,26,75,50,58,49,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 65,4,11,46,34,29,37,16,78,60,{1,2,3,5,6,7,8,9,10,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,15,2,72,24,10,51,27,12,{3,4,5,6,7,9,11,13,14,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,41,100,36,3,5,15,27,24,48,{1,2,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,26,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,10,9,57,52,13,27,33,17,64,{1,2,3,5,6,7,8,11,12,14,15,16,18,19,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,47,12,65,9,87,73,6,1,55,{2,3,4,7,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,22,33,100,5,6,15,61,16,64,{1,2,3,7,8,9,10,11,12,13,14,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,13,4,6,10,2,44,23,93,64,{1,3,5,7,8,11,12,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 5,100,7,44,76,66,31,12,21,1,{2,3,4,6,8,9,10,11,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,7,14,20,8,2,27,26,25,55,{1,3,4,5,6,9,10,11,12,13,15,16,17,18,19,21,22,23,24,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,29,88,24,18,21,81,12,9,{1,3,4,5,6,7,8,10,13,14,15,16,17,19,20,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,2,19,11,7,67,15,68,33,16,{1,3,4,5,6,8,9,10,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,9,11,8,1,3,14,32,64,6,{2,4,5,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,22,17,81,31,27,29,74,7,16,{1,2,3,4,6,8,9,10,11,12,13,14,15,18,19,20,21,23,24,25,26,28,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,58,11,3,32,35,14,63,28,{1,4,5,6,7,8,9,10,12,13,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,10,6,25,11,16,26,98,30,40,{1,2,3,4,5,7,8,9,13,14,15,17,18,19,20,21,22,23,24,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 10,20,22,29,2,34,3,19,36,16,{1,4,5,6,7,8,9,11,12,13,14,15,17,18,21,23,24,25,26,27,28,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,19,50,27,21,5,35,30,6,{1,3,4,7,8,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,15,11,14,29,50,33,31,41,{2,3,4,5,7,8,9,10,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,5,2,11,8,41,33,32,86,17,{1,3,4,6,7,9,10,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,35,21,8,3,23,11,93,6,7,{1,2,5,9,10,12,13,14,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 4,20,35,22,78,49,16,12,24,85,{1,2,3,5,6,7,8,9,10,11,13,14,15,17,18,19,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,2,6,5,15,7,46,1,17,42,{3,4,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,38,6,8,84,15,22,48,16,99,{1,2,3,4,5,7,9,10,11,12,13,14,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 1,26,8,3,38,27,42,36,12,4,{2,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,9,26,3,14,46,77,33,24,28,{1,2,4,5,6,7,8,10,11,12,13,15,16,17,19,20,21,22,23,25,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,19,68,1,28,48,62,17,94,6,{2,3,4,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 11,4,7,100,19,5,87,31,91,66,{1,2,3,6,8,9,10,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,92,93,94,95,96,97,98,99}
1: 37,57,46,33,28,47,4,6,50,59,{1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,48,49,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,19,13,5,47,75,42,4,7,{1,2,3,6,9,10,11,12,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,5,3,40,9,2,18,11,53,54,{1,4,6,8,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,16,100,49,23,37,17,24,2,5,{1,3,4,7,8,9,10,11,12,13,14,15,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,3,100,10,7,2,1,54,23,4,{5,6,8,9,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,23,4,5,25,70,35,47,33,7,{1,2,3,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,24,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,21,31,7,6,5,42,15,100,25,{1,2,4,8,9,10,11,12,13,14,16,17,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,19,15,5,38,47,30,54,81,25,{1,2,3,4,6,7,8,9,10,11,13,14,16,17,18,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,8,9,44,60,21,6,15,95,35,{1,2,3,4,5,7,10,11,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,19,20,34,23,6,100,17,29,40,{2,3,4,5,7,8,9,10,11,12,13,14,15,16,18,21,22,24,25,26,27,28,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,15,5,36,34,51,79,100,23,30,{2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,24,25,26,27,28,29,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,2,4,19,48,58,98,12,3,100,{1,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 22,18,1,63,13,35,99,24,71,16,{2,3,4,5,6,7,8,9,10,11,12,14,15,17,19,20,21,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 9,10,2,15,16,11,23,38,18,17,{1,3,4,5,6,7,8,12,13,14,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,2,30,3,18,7,40,84,12,{1,4,5,6,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,9,57,7,53,79,14,11,62,18,{1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,20,13,5,9,37,11,53,39,58,{1,2,3,4,6,7,8,10,12,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,5,30,35,38,14,67,29,21,7,{1,2,3,4,6,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,31,32,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,6,8,100,22,16,1,29,70,12,{2,3,4,5,7,9,10,11,13,14,15,17,18,19,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,8,34,14,12,36,28,30,20,15,{1,2,3,4,5,6,7,9,10,11,13,16,17,18,19,21,22,23,24,25,27,29,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,4,35,22,50,10,33,24,13,27,{2,3,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,23,25,26,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,27,11,21,9,16,100,48,4,51,{1,2,3,5,6,7,8,10,12,13,14,15,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,6,8,100,25,41,46,28,99,55,{1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 14,21,1,22,11,46,50,71,91,13,{2,3,4,5,6,7,8,9,10,12,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 13,100,32,23,33,20,2,44,22,4,{1,3,5,6,7,8,9,10,11,12,14,15,16,17,18,19,21,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,15,25,20,45,10,34,100,24,14,{1,2,3,4,5,7,8,9,11,12,13,16,17,18,19,21,22,23,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,37,1,23,25,2,5,7,28,24,{3,4,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,26,13,9,3,68,43,67,28,16,{1,2,4,5,6,7,8,10,11,12,14,15,17,18,19,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,19,58,3,1,62,52,41,5,7,{2,4,6,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,32,23,31,5,69,14,22,10,51,{1,2,3,4,6,7,8,9,11,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,30,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,5,21,32,18,35,65,12,98,{1,2,3,4,6,7,9,10,11,13,14,15,16,17,19,20,22,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 7,8,20,3,100,18,22,24,89,16,{1,2,4,5,6,9,10,11,12,13,14,15,17,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 27,2,36,50,39,10,41,3,12,14,{1,4,5,6,7,8,9,11,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,42,51,45,55,5,23,6,33,{1,2,3,4,7,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,43,44,46,47,48,49,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,43,26,10,22,3,21,15,6,92,{1,2,4,5,7,8,9,11,12,13,14,16,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 47,63,39,1,18,16,8,35,7,13,{2,3,4,5,6,9,10,11,12,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,15,10,11,19,26,2,96,29,38,{1,3,4,5,6,7,8,9,13,14,16,17,18,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 15,3,27,38,12,42,62,20,2,28,{1,4,5,6,7,8,9,10,11,13,14,16,17,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,32,100,3,5,27,45,10,89,1,{2,4,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 8,7,31,46,17,44,25,40,21,14,{1,2,3,4,5,6,9,10,11,12,13,15,16,18,19,20,22,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,6,23,26,9,3,57,16,7,{1,2,4,5,10,11,12,13,14,15,17,18,20,21,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,2,89,20,9,5,40,38,58,7,{1,3,4,6,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 9,5,72,61,15,21,18,62,13,35,{1,2,3,4,6,7,8,10,11,12,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,41,21,2,10,26,37,33,9,23,{1,3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,20,22,24,25,27,28,29,30,31,32,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,11,20,13,21,49,35,10,78,12,{1,2,3,4,5,6,7,8,9,14,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,14,21,54,35,17,44,8,30,76,{1,2,3,4,5,6,7,9,10,11,12,13,15,16,18,19,20,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,14,53,37,42,10,21,50,54,17,{1,2,3,4,5,7,8,9,11,12,13,15,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,27,13,100,42,15,5,33,43,29,{1,2,3,4,6,7,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,35,36,37,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,2,100,8,88,53,59,15,73,1,{3,4,5,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 7,41,22,15,20,36,6,12,77,49,{1,2,3,4,5,8,9,10,11,13,14,16,17,18,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,11,1,99,10,12,49,100,5,{2,3,6,7,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 19,2,26,100,4,6,3,40,48,97,{1,5,7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 22,5,11,14,18,48,21,20,31,42,{1,2,3,4,6,7,8,9,10,12,13,15,16,17,19,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,1,26,5,48,7,17,20,4,58,{2,6,8,9,10,11,12,13,14,15,16,18,19,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,62,47,14,78,3,69,72,84,{1,2,4,5,6,7,8,9,10,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,71,73,74,75,76,77,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,69,3,1,12,31,23,27,30,89,{2,4,5,6,7,8,10,11,13,14,15,16,17,18,19,20,21,22,24,25,26,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 3,61,2,21,9,20,10,64,55,42,{1,4,5,6,7,8,11,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,8,21,2,47,29,42,30,52,{1,3,4,5,7,9,10,11,12,13,14,15,16,17,18,20,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,10,68,15,8,53,100,27,25,7,{1,2,4,5,6,9,11,12,13,14,16,17,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,53,31,100,46,18,9,41,71,69,{1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,29,26,1,5,75,3,34,18,4,{2,6,7,8,9,10,11,12,13,14,15,16,17,20,21,22,23,24,25,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 35,27,47,26,43,7,30,10,12,28,{1,2,3,4,5,6,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,32,33,34,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,20,4,8,1,2,100,38,5,56,{3,6,7,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,62,22,63,10,49,73,33,53,59,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,60,61,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,3,32,67,33,20,30,15,82,19,{1,2,4,5,6,7,8,9,11,12,13,14,16,17,18,21,22,23,24,25,26,27,28,29,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,5,8,3,21,31,2,25,27,59,{1,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,49,3,60,69,34,55,17,51,33,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,56,57,58,59,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,48,8,11,16,6,19,1,2,51,{3,4,5,7,9,10,12,13,14,15,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,15,62,17,14,38,68,23,99,41,{1,2,3,4,5,6,7,8,9,11,12,13,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 19,15,1,5,30,74,32,7,58,16,{2,3,4,6,8,9,10,11,12,13,14,17,18,20,21,22,23,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,42,8,18,21,5,49,28,4,40,{1,2,3,6,7,9,11,12,13,14,15,16,17,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,22,54,12,5,8,1,23,13,18,{2,3,4,6,7,9,10,11,14,15,16,17,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,1,27,2,18,53,5,48,50,74,{3,4,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,20,24,27,51,100,23,5,39,74,{1,2,3,4,6,7,8,9,10,12,13,14,15,16,17,18,19,21,22,25,26,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 39,12,10,24,7,9,5,92,86,38,{1,2,3,4,6,8,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 41,100,12,19,8,26,5,37,44,3,{1,2,4,6,7,9,10,11,13,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 35,6,47,5,100,38,23,18,16,12,{1,2,3,4,7,8,9,10,11,13,14,15,17,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,76,36,11,24,1,6,30,69,9,{2,3,4,5,7,8,10,12,13,14,15,16,17,18,20,21,22,23,25,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,20,17,10,46,18,27,13,8,4,{1,2,3,5,6,7,11,12,14,15,16,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,3,1,63,100,36,7,4,97,{2,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 2,3,5,22,47,35,57,6,14,63,{1,4,7,8,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,48,100,29,21,49,16,7,36,13,{1,2,3,5,6,8,9,10,11,12,14,15,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,20,4,47,5,60,1,12,24,17,{2,3,6,7,8,9,10,11,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,13,3,9,100,38,11,20,17,{1,2,4,5,6,7,10,12,14,15,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,21,34,13,8,32,16,35,100,18,{1,2,3,4,5,6,7,9,10,12,14,15,17,19,20,22,23,24,25,26,27,28,29,30,31,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,76,73,26,5,4,12,35,16,99,{1,2,3,6,7,8,9,10,11,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 15,85,2,25,9,23,5,70,28,33,{1,3,4,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,24,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,12,19,3,8,2,17,100,47,38,{1,4,5,6,7,9,10,11,13,14,15,16,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,4,20,6,31,63,24,5,32,17,{1,2,3,7,8,9,10,11,12,13,14,15,16,18,19,21,22,23,25,26,27,28,29,30,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,12,44,40,30,43,6,27,15,23,{2,3,4,5,7,8,9,10,11,13,14,16,17,18,19,20,21,22,24,25,26,28,29,31,32,33,34,35,36,37,38,39,41,42,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 57,10,13,22,100,23,64,24,12,97,{1,2,3,4,5,6,7,8,9,11,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 13,35,28,65,2,23,22,100,71,25,{1,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,24,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,15,5,79,100,33,28,36,17,{2,3,4,6,7,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,26,37,15,7,19,1,18,28,25,{2,3,4,5,6,8,9,10,11,12,13,14,16,17,20,21,23,24,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,17,2,12,26,6,61,63,25,38,{1,3,4,5,7,8,9,10,11,13,14,15,16,18,19,20,21,23,24,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,24,19,14,26,8,22,15,34,35,{1,2,3,4,5,6,7,9,10,11,12,16,17,18,20,21,23,25,27,28,29,30,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,18,76,12,26,100,16,5,13,49,{1,2,3,4,6,7,8,9,10,11,14,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,5,11,22,21,3,17,28,6,41,{2,4,7,8,9,10,12,13,14,15,16,18,19,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,10,100,5,3,2,4,59,75,38,{1,6,7,8,9,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,27,9,26,18,31,64,43,55,16,{1,2,3,4,5,6,7,8,10,12,13,14,15,17,19,20,21,22,23,24,25,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,25,4,21,59,18,100,38,16,33,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,17,20,22,23,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,15,26,5,63,73,64,35,24,17,{1,2,3,6,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,25,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,16,13,1,43,3,52,58,35,{2,4,5,6,7,8,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,53,100,7,99,42,14,66,12,29,{1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 1,43,34,13,27,41,30,6,17,4,{2,3,5,7,8,9,10,11,12,14,15,16,18,19,20,21,22,23,24,25,26,28,29,31,32,33,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 76,18,4,6,48,49,3,84,7,24,{1,2,5,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,36,41,9,99,19,27,13,5,69,{1,2,3,4,6,7,8,10,11,12,14,15,16,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 8,20,79,100,29,6,10,63,4,28,{1,2,3,5,7,9,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,26,10,3,21,5,20,100,23,56,{1,4,6,7,8,9,11,12,13,14,15,16,17,18,19,22,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,29,10,2,11,100,5,72,19,23,{1,3,4,6,7,8,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,79,26,7,39,46,10,22,58,12,{1,2,3,4,5,6,9,11,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,23,9,79,20,12,24,14,35,54,{1,2,3,4,5,7,8,10,11,13,15,16,17,18,19,21,22,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 54,21,31,38,17,1,30,4,9,47,{2,3,5,6,7,8,10,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,20,54,9,46,29,60,24,17,77,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,18,19,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,7,19,27,29,3,39,25,54,24,{1,2,5,6,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,71,10,100,3,48,5,60,92,{1,2,4,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 19,6,27,5,23,31,39,34,13,36,{1,2,3,4,7,8,9,10,11,12,14,15,16,17,18,20,21,22,24,25,26,28,29,30,32,33,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,10,100,15,7,49,33,24,6,8,{2,3,4,5,9,11,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,27,15,7,20,3,10,44,51,4,{1,2,5,6,8,9,11,12,14,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,29,32,37,31,13,8,6,16,12,{1,2,3,4,5,7,9,10,11,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,23,53,24,64,69,35,40,93,30,{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,31,32,33,34,36,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 11,8,31,14,65,41,1,98,29,57,{2,3,4,5,6,7,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 54,15,41,7,19,8,2,36,100,17,{1,3,4,5,6,9,10,11,12,13,14,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,3,9,25,23,12,6,4,7,70,{1,2,5,10,11,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,36,24,16,32,7,86,90,23,{2,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,21,22,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 10,42,77,29,11,2,18,94,21,4,{1,3,5,6,7,8,9,12,13,14,15,16,17,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,19,7,10,11,27,39,25,40,16,{1,2,3,4,5,6,9,12,13,14,15,17,18,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,11,13,6,9,18,100,12,33,5,{1,2,3,4,7,8,10,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,5,9,15,1,4,12,23,36,17,{2,3,7,8,10,11,13,14,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,41,22,33,4,6,14,23,80,17,{1,2,3,5,7,8,10,11,12,13,15,16,18,19,20,21,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,16,23,45,68,12,50,72,57,{1,3,4,5,6,7,8,9,10,11,13,14,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 44,6,4,34,16,39,11,17,13,49,{1,2,3,5,7,8,9,10,12,14,15,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,66,23,18,7,46,11,49,22,45,{1,2,3,4,5,6,8,9,10,13,14,15,16,17,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,30,57,2,9,29,100,76,38,56,{1,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,17,6,25,5,3,44,56,100,9,{2,4,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,39,10,8,40,26,74,15,31,58,{1,2,4,5,6,7,9,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,1,32,63,39,77,12,29,69,{3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,26,31,20,43,3,5,16,22,12,{1,2,4,6,7,8,9,10,11,13,14,15,17,18,21,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,25,13,30,38,28,50,78,67,44,{1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,20,21,22,23,24,26,27,29,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 70,11,2,9,42,10,30,12,34,69,{1,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,15,11,100,25,16,18,35,17,4,{1,3,5,6,7,8,9,10,12,13,14,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,55,1,10,12,9,6,49,3,31,{2,5,7,8,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,37,4,1,12,15,34,6,29,{2,3,5,7,8,9,10,11,13,14,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,16,24,7,30,27,53,23,89,2,{1,3,4,5,6,8,9,10,11,12,13,14,17,18,19,20,21,22,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 19,15,9,6,100,4,16,21,48,70,{1,2,3,5,7,8,10,11,12,13,14,17,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,15,4,1,9,41,20,18,11,29,{2,3,5,7,8,10,12,13,14,16,17,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,11,4,28,18,46,14,69,98,17,{1,2,3,5,6,7,8,10,12,13,15,16,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 29,25,1,9,27,2,42,7,39,12,{3,4,5,6,8,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,28,30,31,32,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,22,32,25,34,12,33,35,4,75,{1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,30,31,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 32,91,8,27,17,82,3,22,38,75,{1,2,4,5,6,7,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 1,22,32,21,8,41,7,26,59,51,{2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,23,24,25,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,14,37,11,63,5,36,17,7,3,{1,2,4,6,8,9,10,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,79,10,3,42,50,66,12,20,40,{1,2,4,5,6,7,8,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,14,32,4,28,63,96,71,5,{1,3,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 7,80,5,42,49,56,20,19,8,64,{1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 27,10,47,31,15,20,91,49,24,12,{1,2,3,4,5,6,7,8,9,11,13,14,16,17,18,19,21,22,23,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,12,15,46,100,25,31,35,5,40,{1,2,3,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,11,50,6,26,8,15,16,42,28,{1,2,4,5,7,9,10,12,13,14,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,100,20,13,41,9,10,35,29,{1,2,3,4,5,6,7,11,12,14,15,16,17,18,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,35,15,77,100,62,43,76,49,1,{2,3,4,5,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,13,5,11,4,33,24,50,16,45,{1,2,3,6,7,8,9,10,12,14,15,17,18,20,21,22,23,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,23,9,31,6,17,45,75,38,{1,2,3,4,5,7,10,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 59,19,37,7,1,3,42,11,30,17,{2,4,5,6,8,9,10,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,11,100,6,18,16,60,35,74,{1,3,4,5,7,8,9,10,12,13,14,15,17,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 16,3,8,2,19,6,33,29,35,23,{1,4,5,7,9,10,11,12,13,14,15,17,18,20,21,22,24,25,26,27,28,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,64,36,33,10,21,75,9,7,1,{2,3,4,5,6,8,11,12,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 43,22,15,2,19,54,82,21,33,35,{1,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,19,10,57,25,27,11,47,100,32,{1,3,4,5,6,7,8,9,12,13,14,15,16,17,18,20,21,22,23,24,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,10,20,19,96,38,18,24,5,37,{1,2,3,6,7,8,9,11,12,13,14,15,16,17,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 12,13,20,11,7,4,21,19,70,62,{1,2,3,5,6,8,9,10,14,15,16,17,18,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,5,39,60,1,10,33,25,69,{3,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,13,19,46,1,18,33,5,16,29,{2,3,4,7,8,9,10,11,12,14,15,17,20,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,9,15,3,16,46,5,24,54,{1,2,4,7,10,11,12,13,14,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,28,7,70,8,16,1,18,23,64,{2,3,4,5,9,10,11,12,13,14,15,17,19,20,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 76,9,62,15,3,36,35,67,78,4,{1,2,5,6,7,8,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,68,69,70,71,72,73,74,75,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,38,71,22,14,24,20,32,4,19,{1,2,3,6,7,8,9,10,11,12,13,15,16,17,18,21,23,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,16,12,82,10,75,49,3,60,{1,4,5,6,7,8,11,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,2,14,17,5,10,18,21,25,{1,4,6,7,8,9,11,12,13,15,16,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,9,3,10,7,28,34,18,32,27,{2,4,5,6,8,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,29,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,17,12,1,31,59,26,22,7,45,{2,4,5,6,8,9,10,11,13,14,15,16,18,19,20,21,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,11,2,6,20,22,1,29,10,40,{3,4,5,7,8,9,12,13,14,15,16,17,18,19,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,11,38,6,22,18,70,30,25,12,{1,2,3,4,5,7,8,9,10,13,14,16,17,19,20,21,23,24,26,27,28,29,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,15,1,5,14,19,9,10,6,17,{2,3,4,7,8,11,12,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,38,22,7,29,13,98,32,9,3,{1,2,4,5,6,8,10,11,12,14,15,16,17,18,19,20,21,23,24,25,27,28,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 13,24,6,14,47,5,18,32,35,29,{1,2,3,4,7,8,9,10,11,12,15,16,17,19,20,21,22,23,25,26,27,28,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,44,8,76,9,16,100,14,36,3,{1,2,4,5,7,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,1,5,17,23,54,21,11,35,31,{2,3,4,6,7,8,9,10,12,13,14,15,16,18,19,20,22,24,25,27,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,12,48,63,4,25,35,5,19,28,{1,2,3,6,7,8,9,10,11,13,14,15,16,18,20,21,22,23,24,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,4,40,46,47,11,51,29,3,{1,2,5,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,2,4,17,6,14,39,24,7,38,{1,3,5,8,9,10,11,12,13,15,16,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,41,22,9,11,37,2,55,13,15,{1,4,5,6,7,8,10,12,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,12,1,9,16,31,48,100,40,42,{2,3,4,5,6,7,8,10,11,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,4,1,41,9,11,10,100,88,3,{2,5,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99}
1: 6,10,72,25,20,34,18,52,42,74,{1,2,3,4,5,7,8,9,11,12,13,14,15,16,17,19,21,22,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,9,26,3,38,13,16,10,50,49,{1,2,4,5,6,7,11,12,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 57,100,2,63,11,16,30,14,58,35,{1,3,4,5,6,7,8,9,10,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,41,15,1,16,11,62,5,48,17,{2,3,4,6,7,8,9,12,13,14,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,26,9,1,24,7,3,54,18,13,{2,4,5,8,10,11,12,14,15,16,17,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 41,47,24,3,16,12,1,32,10,56,{2,4,5,6,7,8,9,11,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,15,20,91,14,50,24,7,4,59,{1,2,3,5,6,8,9,10,12,13,16,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 4,3,44,12,42,40,26,5,13,1,{2,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,34,22,25,23,12,11,28,71,43,{1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,24,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,33,32,4,18,10,71,39,30,40,{1,2,3,5,6,7,8,9,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,31,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,2,13,21,27,100,3,52,28,12,{1,4,5,6,7,8,9,10,11,14,16,17,18,19,20,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,14,4,26,67,22,12,54,34,23,{1,2,3,5,6,7,9,10,11,13,15,16,17,18,19,20,21,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,20,57,19,10,47,85,5,63,35,{1,2,3,4,6,7,8,9,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,12,3,32,11,27,42,48,13,60,{1,2,4,5,6,7,9,10,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,5,30,11,1,16,27,4,23,35,{2,3,6,7,8,10,12,13,14,15,17,18,19,20,21,22,24,25,26,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,41,54,21,10,5,27,7,46,85,{1,2,3,4,6,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,19,8,41,37,16,5,34,7,14,{1,2,3,4,9,10,11,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,100,41,51,14,36,3,57,78,49,{1,2,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,1,2,9,8,22,44,23,29,24,{3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,14,24,26,10,16,21,25,64,33,{1,2,3,4,5,6,7,8,9,11,12,13,15,17,18,20,22,23,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,100,1,25,5,53,13,3,26,62,{2,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,3,22,15,63,18,31,35,16,28,{1,2,5,6,7,8,9,10,11,12,13,14,17,19,20,21,23,24,25,26,27,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,18,5,15,9,26,16,6,50,70,{1,2,3,7,8,10,11,12,13,14,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,12,25,30,100,50,5,47,63,16,{1,2,3,4,6,7,8,9,10,11,13,14,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,37,25,18,5,34,100,4,54,10,{1,2,3,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 17,19,27,100,12,39,29,25,23,16,{1,2,3,4,5,6,7,8,9,10,11,13,14,15,18,20,21,22,24,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 65,32,1,52,22,23,35,37,25,48,{2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,26,27,28,29,30,31,33,34,36,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 73,27,4,65,21,100,10,18,7,35,{1,2,3,5,6,8,9,11,12,13,14,15,16,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,15,7,5,82,69,33,12,26,4,{1,2,3,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,19,8,43,41,34,22,10,14,35,{1,2,3,4,5,7,9,11,12,13,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,35,13,30,15,7,33,46,75,91,{1,2,3,4,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 53,8,18,6,2,15,66,5,7,40,{1,3,4,9,10,11,12,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,13,16,15,5,1,35,18,68,33,{2,3,4,6,7,8,9,10,11,12,14,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,14,21,30,62,40,6,50,69,44,{1,2,3,4,5,7,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,61,37,6,15,7,25,30,86,16,{1,2,4,5,8,9,10,11,12,13,14,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 83,40,12,47,19,35,13,4,5,7,{1,2,3,6,8,9,10,11,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,6,4,25,53,2,13,51,63,7,{1,3,5,8,9,10,11,12,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,2,25,22,62,5,30,19,49,51,{1,3,4,6,7,8,9,10,12,13,14,15,16,17,18,20,21,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,27,8,1,63,89,28,4,18,7,{2,3,5,6,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 61,8,3,22,30,47,72,16,14,87,{1,2,4,5,6,7,9,10,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,9,15,80,40,14,21,12,52,17,{1,2,3,4,5,6,7,8,10,13,16,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,4,31,72,76,20,19,80,24,{1,3,5,6,7,8,10,11,12,13,14,15,16,17,18,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,15,9,23,53,41,47,100,21,1,{2,3,4,5,6,7,8,10,11,12,14,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 50,6,31,43,74,18,34,30,4,100,{1,2,3,5,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,32,33,35,36,37,38,39,40,41,42,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,37,57,3,20,25,18,10,28,12,{1,2,4,5,6,8,9,11,13,14,15,16,17,19,21,22,23,24,26,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,20,17,36,55,4,3,16,27,6,{1,2,5,8,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,16,50,3,5,38,52,32,54,{1,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,6,26,9,10,29,46,23,16,69,{1,3,4,5,7,8,11,12,13,14,15,17,18,19,20,21,22,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,29,92,15,17,5,6,78,30,68,{2,3,4,7,8,9,10,11,12,13,14,16,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 41,15,19,1,27,100,35,65,10,5,{2,3,4,6,7,8,9,11,12,13,14,16,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,9,27,22,4,20,34,24,23,18,{1,2,3,5,6,7,8,10,11,12,14,15,16,17,19,21,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,93,5,41,18,31,11,12,69,42,{1,2,3,4,6,7,8,9,10,13,14,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 4,15,5,100,51,28,7,19,46,34,{1,2,3,6,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,53,7,31,21,14,24,12,30,99,{1,2,3,4,5,6,8,9,10,11,13,16,17,18,19,20,22,23,25,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 100,41,27,14,30,40,28,6,17,37,{1,2,3,4,5,7,8,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,29,31,32,33,34,35,36,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,7,26,51,3,31,11,18,4,1,{2,5,6,9,10,12,13,14,15,16,17,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,13,2,14,1,3,34,98,24,42,{4,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 6,43,40,5,30,9,29,19,2,32,{1,3,4,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,31,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,18,4,36,20,31,5,55,9,51,{1,2,3,6,7,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,19,33,34,18,27,11,12,14,{3,4,5,6,7,8,9,10,13,15,16,17,20,21,22,23,24,25,26,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 75,9,16,1,18,3,30,96,48,35,{2,4,5,6,7,8,10,11,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 4,37,88,21,11,7,31,48,30,49,{1,2,3,5,6,8,9,10,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,10,12,24,100,31,25,21,48,90,{1,2,3,4,5,6,7,8,9,11,14,15,16,17,18,19,20,22,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 100,8,25,3,63,62,24,30,35,18,{1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,79,37,38,50,29,20,11,18,25,{1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,21,22,23,24,26,27,28,30,31,32,33,34,35,36,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 11,59,21,16,17,34,25,28,27,7,{1,2,3,4,5,6,8,9,10,12,13,14,15,18,19,20,22,23,24,26,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,3,26,14,64,5,28,36,1,27,{2,4,6,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,24,25,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,10,47,1,31,19,30,9,24,37,{2,3,4,5,6,7,8,11,12,13,15,16,17,18,20,21,22,23,25,26,27,28,29,32,33,34,35,36,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,10,58,100,45,31,16,24,1,7,{2,3,4,5,8,9,11,12,13,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,3,95,32,5,12,14,8,27,10,{1,4,6,7,9,11,13,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 6,10,9,24,1,71,11,28,13,82,{2,3,4,5,7,8,12,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,25,13,7,1,10,4,30,46,18,{2,3,5,6,9,11,12,14,15,16,17,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,1,13,100,40,20,50,14,59,78,{2,3,4,5,7,8,9,10,11,12,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,79,9,14,5,58,23,22,6,40,{1,2,3,4,7,8,10,11,12,13,15,16,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,32,12,24,26,87,4,23,18,{2,3,5,6,7,8,9,10,11,13,14,15,16,17,19,20,21,22,25,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,22,3,25,13,15,42,92,30,75,{1,2,4,5,6,7,8,10,11,12,14,16,17,18,19,20,21,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 1,19,15,17,3,7,23,60,35,58,{2,4,5,6,8,9,10,11,12,13,14,16,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 38,3,100,14,5,23,1,4,50,28,{2,6,7,8,9,10,11,12,13,15,16,17,18,19,20,21,22,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,7,29,56,11,4,13,49,16,46,{1,2,3,5,6,8,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,61,9,6,41,5,32,19,21,13,{1,3,4,7,8,10,11,12,14,15,16,17,18,20,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,14,16,11,95,3,7,10,34,{1,2,4,5,6,9,12,13,15,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 9,12,48,100,52,27,7,23,31,5,{1,2,3,4,6,8,10,11,13,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,33,100,63,5,20,89,16,29,17,{1,3,4,6,7,8,9,10,11,12,13,14,15,18,19,21,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 25,1,8,21,3,7,11,10,5,56,{2,4,6,9,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,20,5,2,14,67,35,44,28,33,{1,3,4,6,7,8,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32,34,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,6,33,12,9,72,3,5,49,7,{1,2,4,8,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 55,19,73,26,28,68,7,100,40,58,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,59,60,61,62,63,64,65,66,67,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,12,61,13,7,35,39,16,53,18,{1,2,3,4,5,6,9,10,11,14,15,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,3,4,47,8,19,2,23,42,25,{1,5,6,7,10,11,12,13,14,15,16,17,18,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,2,5,16,49,51,15,18,28,17,{1,3,4,6,7,8,10,11,12,13,14,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,21,6,8,26,4,36,12,22,9,{1,2,3,7,10,11,13,14,15,16,17,18,19,20,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,41,16,11,12,10,39,18,56,2,{1,3,4,5,6,7,8,9,13,14,15,17,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,84,6,5,14,51,48,40,55,{1,3,4,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,49,50,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,26,4,11,13,29,16,56,14,{1,2,3,5,6,7,9,10,12,15,17,18,20,21,22,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,72,7,57,11,25,21,4,45,17,{2,3,5,6,8,9,10,12,13,14,15,16,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,10,68,12,9,44,32,8,11,19,{1,2,3,4,5,6,7,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,1,15,8,5,41,51,17,46,7,{2,3,4,6,9,10,11,13,14,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,38,43,7,3,34,73,27,24,{1,2,4,5,6,9,10,11,12,13,14,15,16,17,18,20,21,22,23,25,26,28,29,30,31,32,33,35,36,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,20,3,27,1,11,51,53,17,28,{4,5,6,7,8,9,10,12,13,14,15,16,18,19,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,22,15,25,2,40,16,60,5,{1,3,4,6,7,9,10,11,12,14,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,13,31,14,10,17,22,7,3,36,{1,2,4,5,6,8,9,11,12,15,16,18,19,20,23,24,25,26,27,28,29,30,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,50,16,6,13,11,32,2,7,70,{3,4,5,8,9,10,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,26,3,22,17,13,18,4,29,78,{1,2,5,6,7,8,9,10,11,12,14,15,16,19,20,21,23,24,25,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,19,4,20,9,21,13,24,18,97,{1,2,3,5,6,8,10,11,12,14,15,16,17,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 37,20,3,11,14,66,33,7,38,17,{1,2,4,5,6,8,9,10,12,13,15,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,19,8,11,2,67,26,100,6,17,{1,4,5,7,9,10,12,13,14,15,16,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,15,27,12,82,33,30,42,24,{1,2,3,4,5,6,7,9,10,11,13,14,16,17,18,20,21,22,23,25,26,28,29,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,100,19,2,3,50,25,56,15,18,{1,4,5,6,7,8,9,11,12,13,14,16,17,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,20,14,37,8,26,3,18,43,32,{1,2,4,5,6,7,9,10,11,12,15,16,17,19,21,22,23,24,25,27,28,29,30,31,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,47,45,37,7,2,10,6,25,96,{1,3,4,5,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 8,26,9,42,24,70,29,18,93,94,{1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,19,20,21,22,23,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,95,96,97,98,99,100}
1: 53,11,43,20,100,10,3,16,37,45,{1,2,4,5,6,7,8,9,12,13,14,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,50,16,3,5,39,53,9,24,4,{1,2,6,7,8,10,11,12,13,14,15,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 24,59,49,3,9,4,16,43,7,18,{1,2,5,6,8,10,11,12,13,14,15,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,27,8,5,7,58,29,25,80,17,{1,2,3,4,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,21,29,14,72,2,74,35,25,6,{1,3,4,5,7,8,9,10,11,12,13,15,16,17,18,19,20,22,24,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,6,36,20,5,14,25,47,28,59,{1,2,4,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,26,27,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,35,100,79,6,1,2,14,10,29,{3,4,5,7,8,9,11,12,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,19,8,23,17,20,11,100,5,7,{1,2,3,4,6,10,12,13,14,15,16,18,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,8,44,34,5,29,33,18,54,10,{1,2,3,4,6,7,9,11,12,13,14,15,16,17,19,20,21,23,24,25,26,27,28,30,31,32,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,15,51,57,45,12,35,29,18,{2,3,4,5,6,7,8,9,10,11,13,14,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,9,100,10,21,85,23,11,91,15,{2,3,4,5,6,7,8,12,13,14,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,92,93,94,95,96,97,98,99}
1: 8,40,1,55,14,20,31,69,52,24,{2,3,4,5,6,7,9,10,11,12,13,15,16,17,18,19,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,26,79,5,46,27,21,18,52,63,{1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,19,20,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,1,60,71,19,6,15,20,90,33,{2,3,4,5,8,9,10,11,12,13,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 1,14,2,12,20,16,6,3,95,32,{4,5,7,8,9,10,11,13,15,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 1,55,34,25,2,9,19,7,30,49,{3,4,5,6,8,10,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,22,5,27,34,18,12,24,48,{1,2,3,6,7,9,10,11,13,14,15,16,17,19,20,21,23,25,26,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,3,2,26,10,5,41,17,51,{1,4,6,7,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,8,21,91,27,7,20,50,30,58,{1,2,3,5,6,9,10,11,12,13,14,15,16,17,18,19,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 100,8,2,47,22,12,34,83,4,66,{1,3,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,25,1,16,39,55,54,29,12,24,{2,4,5,6,7,8,9,10,11,13,14,15,17,18,19,20,21,22,23,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,3,26,7,33,17,10,8,63,1,{4,5,6,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,34,11,49,3,12,5,55,60,{1,2,6,7,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 56,15,19,20,11,1,8,3,5,43,{2,4,6,7,9,10,12,13,14,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,2,32,13,25,35,16,24,28,{3,4,5,6,7,8,9,10,11,12,14,17,18,19,20,21,22,23,26,27,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,8,1,27,33,3,20,42,34,36,{2,4,5,6,7,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,28,29,30,31,32,35,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,100,29,28,1,5,7,46,49,25,{2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 58,4,3,44,87,60,67,1,12,74,{2,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,59,61,62,63,64,65,66,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,15,4,22,82,56,59,17,62,5,{2,3,6,7,8,9,10,11,12,13,14,16,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 75,30,100,12,37,6,25,54,34,23,{1,2,3,4,5,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,24,26,27,28,29,31,32,33,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,5,19,18,100,41,22,17,92,10,{1,2,3,4,6,8,9,11,12,13,14,15,16,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99}
1: 22,14,2,50,1,4,24,17,9,97,{3,5,6,7,8,10,11,12,13,15,16,18,19,20,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 3,28,2,100,31,19,27,15,11,83,{1,4,5,6,7,8,9,10,12,13,14,16,17,18,20,21,22,23,24,25,26,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,61,6,37,13,15,2,12,50,65,{1,3,4,5,7,8,9,10,11,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,47,100,10,65,16,14,3,30,35,{1,2,4,5,6,7,8,9,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,9,47,1,7,13,17,12,52,18,{2,3,5,6,8,10,11,14,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,15,8,5,30,3,25,13,76,{1,2,4,6,7,10,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,57,100,65,6,26,22,51,12,17,{1,3,4,5,7,8,9,10,11,13,14,15,16,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 75,2,40,3,1,17,39,23,66,87,{4,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,3,96,66,17,43,100,51,40,{1,2,4,5,7,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 21,32,2,37,57,42,92,28,95,40,{1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,33,34,35,36,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,96,97,98,99,100}
1: 8,10,6,39,79,61,18,64,49,50,{1,2,3,4,5,7,9,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,77,22,27,46,42,98,74,7,{2,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 1,45,19,7,4,13,30,11,16,14,{2,3,5,6,8,9,10,12,15,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,20,10,9,29,22,43,69,97,25,{1,2,4,5,6,7,8,11,12,13,14,15,16,17,18,19,21,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 21,5,2,57,1,33,40,15,10,98,{3,4,6,7,8,9,11,12,13,14,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 9,43,15,48,3,76,77,52,19,8,{1,2,4,5,6,7,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,70,15,13,80,22,3,10,78,52,{1,2,4,5,7,8,9,11,12,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 88,100,47,6,26,24,98,59,18,38,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,25,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,99}
1: 4,28,68,88,2,74,72,10,24,6,{1,3,5,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,73,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,5,15,14,18,8,30,22,11,29,{1,2,3,4,6,7,10,12,13,16,17,19,20,21,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,72,30,23,15,32,46,16,12,{2,4,5,6,7,8,9,10,11,13,14,17,18,19,20,21,22,24,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,62,61,7,5,13,20,48,12,33,{1,2,3,4,6,8,9,10,11,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,7,2,14,16,26,6,13,21,4,{1,3,5,8,9,10,12,15,17,18,19,20,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,4,2,9,25,79,10,6,93,7,{1,3,5,8,11,12,13,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 3,26,15,100,71,34,29,32,1,63,{2,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,27,28,30,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,13,12,52,8,6,4,16,17,{1,2,3,5,7,9,11,14,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,23,37,70,100,29,33,30,7,71,{1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 21,8,1,11,30,23,96,44,49,15,{2,3,4,5,6,7,9,10,12,13,14,16,17,18,19,20,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 23,8,7,11,22,3,2,28,12,77,{1,4,5,6,9,10,13,14,15,16,17,18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,6,28,4,42,17,39,63,32,27,{1,2,3,5,7,8,9,10,11,12,13,14,15,16,18,19,20,21,23,24,25,26,29,30,31,33,34,35,36,37,38,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,3,7,28,65,9,26,37,8,13,{1,2,4,5,6,10,11,12,14,15,16,17,18,19,21,22,23,24,25,27,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,36,65,20,9,8,67,100,21,32,{1,2,3,4,5,6,7,10,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,30,31,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,23,69,1,4,21,18,50,5,3,{2,6,7,8,9,10,11,12,13,14,15,16,17,19,20,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,25,9,1,10,21,55,23,30,{2,3,5,6,7,11,12,13,14,15,16,17,18,19,20,22,24,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,22,26,34,13,18,1,40,91,81,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,19,21,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 15,41,20,3,1,100,13,7,16,28,{2,4,5,6,8,9,10,11,12,14,17,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 61,18,11,31,5,9,49,56,60,90,{1,2,3,4,6,7,8,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,57,58,59,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 2,8,6,15,71,13,27,100,1,12,{3,4,5,7,9,10,11,14,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 5,21,4,1,74,45,30,9,26,12,{2,3,6,7,8,10,11,13,14,15,16,17,18,19,20,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,9,15,63,77,5,21,18,49,{1,3,4,6,7,8,10,12,13,14,16,17,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,25,100,7,6,13,80,4,12,{1,2,3,5,8,9,10,14,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,10,47,22,23,13,48,4,12,16,{2,3,5,6,7,8,9,11,14,15,17,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,14,1,31,2,8,88,22,10,16,{3,5,6,7,9,11,12,13,15,17,18,19,20,21,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 16,35,21,31,8,22,23,2,28,67,{1,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,24,25,26,27,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,79,11,12,20,28,7,16,17,1,{2,3,4,6,8,9,10,13,14,15,18,19,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 48,2,9,19,12,33,99,23,81,17,{1,3,4,5,6,7,8,10,11,13,14,15,16,18,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100}
1: 22,27,31,9,1,5,23,40,68,30,{2,3,4,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,28,29,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,22,40,39,23,48,100,17,10,5,{1,2,3,4,7,8,9,11,12,13,14,15,16,18,19,20,21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 39,100,30,59,38,46,8,40,6,2,{1,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,35,10,52,12,24,40,2,50,3,{1,5,6,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,3,2,11,34,23,7,42,14,38,{1,4,5,6,8,10,12,13,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,35,36,37,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,27,2,21,8,18,73,14,4,12,{1,3,5,6,7,9,10,11,15,16,17,19,20,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,31,45,79,75,39,33,17,6,12,{1,3,4,5,7,8,9,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,35,36,37,38,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,14,6,74,20,81,3,2,30,4,{1,5,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,13,31,7,44,21,8,100,9,41,{2,3,4,5,6,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,20,14,9,47,24,18,13,100,42,{1,3,4,5,6,7,8,10,11,12,15,16,17,19,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,1,28,24,29,55,10,23,75,40,{2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,41,20,2,15,8,7,23,90,24,{1,4,5,6,9,10,11,12,13,14,16,17,18,19,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 81,23,18,14,36,3,10,6,26,7,{1,2,4,5,8,9,11,12,13,15,16,17,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,27,31,4,6,10,11,82,28,30,{1,2,3,5,7,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 79,11,5,25,29,3,21,12,55,46,{1,2,4,6,7,8,9,10,13,14,15,16,17,18,19,20,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,41,3,13,18,8,35,11,40,39,{1,2,4,5,6,7,9,12,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,23,9,11,27,44,66,33,5,29,{1,2,3,4,6,7,8,10,12,13,14,15,16,17,18,19,21,22,24,25,26,28,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,21,19,28,1,48,17,11,23,10,{2,3,5,6,7,8,9,12,13,14,15,16,18,20,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,100,6,2,99,24,19,63,27,25,{1,3,4,5,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98}
1: 6,41,100,9,1,20,19,58,4,3,{2,5,7,8,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 36,21,82,2,12,52,22,100,3,48,{1,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,100,6,84,13,29,11,14,35,17,{1,2,3,4,5,7,9,10,12,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,53,26,22,11,10,3,5,72,38,{1,2,4,6,7,8,9,12,13,14,15,16,17,18,19,20,21,23,24,25,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,7,31,21,36,27,23,17,13,30,{2,3,4,5,6,8,9,10,11,12,14,15,16,18,19,20,22,24,25,26,28,29,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,63,32,18,46,11,6,29,16,30,{2,3,4,5,7,8,9,10,12,13,14,15,17,19,20,21,22,23,24,25,26,27,28,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,13,10,2,21,100,56,5,30,3,{1,6,7,8,9,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,53,41,13,54,27,12,9,5,3,{1,2,4,6,7,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,34,4,10,19,81,8,44,5,66,{1,2,6,7,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,82,31,39,35,34,3,6,13,25,{1,2,4,5,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,6,9,15,8,5,14,7,2,50,{1,3,4,10,11,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,22,34,3,65,7,13,64,83,40,{1,2,4,5,6,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,3,5,82,14,10,24,38,4,{1,6,7,8,9,12,13,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,11,10,55,9,5,14,45,31,54,{1,2,3,4,6,7,8,12,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,30,31,3,5,15,48,25,19,59,{1,2,4,6,7,8,9,10,11,12,13,14,16,17,20,21,22,23,24,26,27,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,1,6,7,17,33,3,64,36,14,{2,4,5,9,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,7,10,19,58,51,30,40,18,{2,3,4,5,6,8,9,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,35,38,2,1,11,29,31,10,95,{3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,33,34,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 15,34,18,7,6,30,41,17,49,51,{1,2,3,4,5,8,9,10,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,100,26,3,6,47,20,18,30,1,{2,4,5,7,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,4,58,26,5,13,27,24,72,7,{1,2,3,6,9,10,11,12,14,15,16,17,18,19,20,21,22,23,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 18,9,39,10,16,38,24,67,22,29,{1,2,3,4,5,6,7,8,11,12,13,14,15,17,19,20,21,23,25,26,27,28,30,31,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 30,17,59,1,7,10,5,21,47,45,{2,3,4,6,8,9,11,12,13,14,15,16,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,26,11,18,36,39,100,33,89,{1,2,3,4,5,6,7,9,10,12,13,14,15,16,17,20,21,22,23,24,25,27,28,29,30,31,32,34,35,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 41,6,76,100,8,31,24,36,56,1,{2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,8,11,3,30,25,40,10,52,14,{1,4,5,6,7,9,12,13,15,16,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,26,49,14,95,12,98,59,7,34,{1,3,4,5,6,8,9,10,11,13,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,99,100}
1: 3,21,31,2,22,15,25,63,97,42,{1,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,20,23,24,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 21,19,53,6,17,36,10,7,64,12,{1,2,3,4,5,8,9,11,13,14,15,16,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,79,2,27,91,11,16,42,6,4,{1,3,5,7,8,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,99,100}
1: 45,2,7,26,44,28,1,25,27,34,{3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,29,30,31,32,33,35,36,37,38,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,41,37,9,15,13,6,74,58,{2,3,4,5,7,8,10,11,12,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,25,2,5,78,17,65,32,81,97,{1,3,4,6,7,8,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 14,9,2,53,24,25,26,29,58,81,{1,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,21,22,23,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,18,10,27,52,25,17,50,29,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,20,21,22,23,24,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,2,62,11,21,15,14,5,29,74,{1,3,6,7,8,9,10,12,13,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,33,14,5,21,52,60,49,44,23,{1,2,3,4,6,7,8,9,10,11,13,15,16,17,18,19,20,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,9,27,10,13,26,3,2,94,39,{1,4,5,6,7,8,11,12,14,15,16,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 87,35,4,15,2,42,12,18,29,100,{1,3,5,6,7,8,9,10,11,13,14,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,56,15,44,43,38,11,16,13,59,{1,2,3,4,5,6,7,8,9,10,12,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,61,41,22,1,2,34,16,24,86,{3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,21,23,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,53,3,13,6,29,24,12,52,4,{1,5,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,4,9,10,6,26,16,7,34,39,{1,2,5,8,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,37,76,22,21,98,34,39,100,18,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,19,20,23,24,25,26,27,28,29,30,31,32,33,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 19,25,13,1,40,38,41,24,98,44,{2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,37,39,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 1,24,28,52,79,34,27,6,85,3,{2,4,5,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,27,13,25,16,46,28,12,30,23,{1,2,3,4,5,6,7,8,10,11,14,15,17,18,19,20,21,22,24,26,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,31,32,52,41,35,46,16,12,33,{1,2,3,4,5,6,7,8,9,10,11,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,34,36,37,38,39,40,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,7,29,5,44,22,12,64,97,38,{1,2,3,4,6,8,9,10,11,13,14,16,17,18,19,20,21,23,24,25,26,27,28,30,31,32,33,34,35,36,37,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 4,1,8,100,50,28,2,12,93,71,{3,5,6,7,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 13,8,27,7,6,12,20,18,42,30,{1,2,3,4,5,9,10,11,14,15,16,17,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,100,5,66,6,20,45,2,32,{1,3,4,7,9,10,11,12,13,14,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,37,8,62,44,32,30,11,23,17,{1,2,3,4,5,6,7,9,10,12,13,14,16,18,19,20,21,22,24,25,26,27,28,29,31,33,34,35,36,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,73,55,25,22,39,33,30,56,38,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,26,27,28,29,31,32,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,5,78,61,1,62,75,49,19,4,{2,3,6,8,9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,63,64,65,66,67,68,69,70,71,72,73,74,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,18,5,3,75,70,10,60,50,51,{1,2,4,6,7,8,9,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,27,4,5,22,7,12,23,37,60,{1,2,6,8,9,10,11,13,14,15,16,17,18,19,20,21,24,25,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,2,11,82,14,21,40,60,46,35,{1,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,2,3,27,11,67,44,1,14,16,{4,5,6,7,8,9,10,12,13,15,17,18,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,100,19,58,21,28,42,62,6,11,{1,2,3,4,5,7,8,9,10,12,13,14,15,16,17,18,20,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,29,16,15,2,63,92,11,34,33,{1,3,4,5,6,7,8,9,12,13,14,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 3,32,21,56,14,1,59,28,30,4,{2,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,2,1,48,7,95,10,16,33,28,{3,4,5,6,8,9,11,12,13,14,15,17,18,19,21,22,23,24,25,26,27,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 100,14,5,2,46,20,40,18,22,58,{1,3,4,6,7,8,9,10,11,12,13,15,16,17,19,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,74,1,9,5,72,13,4,14,81,{2,3,6,7,8,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 73,95,9,25,23,14,5,29,16,6,{1,2,3,4,7,8,10,11,12,13,15,17,18,19,20,21,22,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 8,41,18,9,11,77,3,5,49,40,{1,2,4,6,7,10,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,54,51,21,3,15,46,14,29,33,{2,4,5,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,5,2,15,18,10,32,24,17,{1,3,4,6,7,9,11,12,14,16,19,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 29,1,15,32,37,18,16,55,2,5,{3,4,6,7,8,9,10,11,12,13,14,17,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,13,11,8,5,100,27,22,16,29,{2,3,4,6,7,9,10,12,14,15,17,18,19,20,21,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 25,4,3,88,10,2,16,9,40,17,{1,5,6,7,8,11,12,13,14,15,18,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,5,100,11,15,27,28,33,24,42,{1,3,4,6,7,8,9,10,12,13,14,16,17,18,19,20,21,22,23,25,26,29,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,61,26,21,15,14,32,5,3,31,{1,2,6,7,8,9,10,11,12,13,16,17,18,19,20,22,23,24,25,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,41,36,100,16,15,3,23,40,{1,2,5,6,7,9,10,11,12,13,14,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,7,2,45,9,27,29,14,51,16,{3,4,5,6,8,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,45,15,24,73,52,10,42,31,43,{1,2,3,4,5,6,7,8,9,11,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,2,22,100,13,38,10,4,30,33,{1,3,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,41,65,27,3,20,18,7,12,38,{1,2,4,5,6,8,10,11,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,90,40,26,48,3,44,14,13,4,{2,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 7,30,3,100,16,13,2,42,55,98,{1,4,5,6,8,9,10,11,12,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 2,22,44,16,76,27,36,39,17,12,{1,3,4,5,6,7,8,9,10,11,13,14,15,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,9,11,29,5,10,79,46,51,32,{1,3,4,6,7,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,20,8,17,5,23,16,77,4,{1,3,6,7,9,10,11,12,13,14,15,18,19,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,10,20,29,28,45,40,21,18,64,{1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,19,22,23,24,25,26,27,30,31,32,33,34,35,36,38,39,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,18,9,31,23,32,8,13,2,49,{1,3,4,5,6,7,10,11,12,14,15,16,17,19,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,14,1,22,10,5,6,30,17,97,{2,3,7,8,9,11,12,13,15,16,18,19,20,21,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 9,2,19,7,13,48,21,100,6,17,{1,3,4,5,8,10,11,12,14,15,16,18,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,37,25,4,1,40,13,17,39,21,{2,3,5,6,8,9,10,11,12,14,15,16,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,8,11,17,19,32,14,43,16,29,{1,2,3,4,5,6,7,9,10,12,13,15,18,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,14,5,17,3,30,72,67,9,{1,6,7,8,10,11,12,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,7,11,44,2,10,54,41,21,3,{1,4,5,6,9,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,1,37,24,27,52,17,68,25,7,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,20,21,22,23,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,32,33,13,1,18,98,3,65,11,{2,4,5,6,7,8,10,12,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 43,7,25,20,40,51,27,12,11,36,{1,2,3,4,5,6,8,9,10,13,14,15,16,17,18,19,21,22,23,24,26,28,29,30,31,32,33,34,35,37,38,39,41,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,24,12,38,16,1,3,50,40,{2,4,5,6,7,8,9,10,11,13,14,15,17,18,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,3,36,23,14,4,68,59,51,29,{1,2,5,6,7,8,9,11,12,13,15,16,17,18,19,20,21,22,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,2,64,19,6,12,26,14,92,7,{1,3,4,5,8,9,10,13,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 8,1,27,41,39,22,14,9,35,51,{2,3,4,5,6,7,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,28,29,30,31,32,33,34,36,37,38,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,7,15,3,39,55,29,48,86,78,{1,2,4,5,6,8,9,10,11,12,13,14,16,17,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,40,42,11,4,18,91,23,87,17,{2,3,5,6,7,8,9,10,12,13,14,15,16,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,92,93,94,95,96,97,98,99,100}
1: 6,56,14,17,8,32,18,100,38,81,{1,2,3,4,5,7,9,10,11,12,13,15,16,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 22,14,13,34,39,66,33,35,7,10,{1,2,3,4,5,6,8,9,11,12,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,8,7,40,5,12,17,30,14,38,{1,2,3,4,6,9,10,11,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,4,6,13,33,46,84,16,17,18,{1,2,3,5,7,9,10,11,12,14,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,64,5,30,100,1,6,12,26,87,{2,3,4,7,8,9,10,11,13,14,16,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 3,27,18,41,25,72,53,9,32,29,{1,2,4,5,6,7,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,28,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,47,61,5,18,28,56,38,68,7,{1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 1,95,41,6,26,39,35,63,64,16,{2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 37,61,10,1,49,21,100,84,57,40,{2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,20,29,10,74,3,23,98,6,4,{1,2,5,7,8,9,11,12,13,14,16,17,18,19,21,22,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 25,14,6,10,5,100,79,18,20,11,{1,2,3,4,7,8,9,12,13,15,16,17,19,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,45,26,5,3,17,23,4,34,13,{1,2,6,8,9,10,11,12,14,15,16,18,19,20,21,22,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,19,41,29,17,13,46,36,3,1,{2,4,5,6,7,8,10,11,12,14,15,16,18,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,9,2,27,7,100,67,1,18,45,{3,4,5,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,10,100,5,9,42,7,6,74,71,{1,2,3,4,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 41,22,9,54,82,49,83,42,6,35,{1,2,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,43,44,45,46,47,48,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,15,27,22,18,5,6,7,78,48,{1,2,3,4,9,10,11,12,13,14,16,17,19,20,21,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,12,19,21,6,36,20,7,23,16,{1,2,3,5,8,9,10,11,13,14,15,17,18,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,48,53,13,6,60,15,33,50,14,{1,2,3,4,5,7,8,10,11,12,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,51,52,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,100,15,47,41,18,5,10,17,38,{1,3,4,6,7,8,9,11,12,13,14,16,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,6,39,31,15,9,12,1,4,86,{2,3,5,7,8,10,11,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 5,20,58,2,100,70,47,95,68,12,{1,3,4,6,7,8,9,10,11,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 2,15,6,67,25,7,12,35,21,17,{1,3,4,5,8,9,10,11,13,14,16,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,15,41,34,2,29,9,20,22,30,{1,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,21,23,24,25,26,27,28,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,1,13,100,6,31,9,62,59,93,{2,3,4,5,7,8,10,11,12,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99}
1: 6,9,2,48,72,46,20,25,32,13,{1,3,4,5,7,8,10,11,12,14,15,16,17,18,19,21,22,23,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,11,95,4,31,5,100,14,12,17,{1,2,3,7,8,9,10,13,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99}
1: 8,27,14,20,90,31,55,26,17,30,{1,2,3,4,5,6,7,9,10,11,12,13,15,16,18,19,21,22,23,24,25,28,29,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100}
1: 20,11,5,19,2,1,60,48,7,35,{3,4,6,8,9,10,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,21,7,34,31,4,48,5,22,42,{1,2,3,6,8,9,10,11,12,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,32,33,35,36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,15,61,100,12,66,3,14,56,20,{1,2,4,5,6,7,8,9,10,11,13,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,57,58,59,60,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,22,67,26,7,34,21,100,3,17,{1,2,4,5,6,9,10,11,12,13,14,15,16,18,19,20,23,24,25,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,22,3,28,6,45,49,40,7,60,{1,2,4,5,8,9,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,1,15,9,3,7,17,14,32,18,{4,5,6,8,10,11,12,13,16,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 26,100,11,9,80,40,20,21,59,6,{1,2,3,4,5,7,8,10,12,13,14,15,16,17,18,19,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,43,3,30,41,23,20,78,51,4,{1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,4,6,17,50,15,39,26,31,18,{1,2,3,5,7,8,9,10,12,13,14,16,19,20,21,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,26,45,6,16,3,100,30,14,52,{1,4,5,7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,11,18,9,38,5,23,33,25,56,{1,2,3,4,6,7,8,10,12,14,15,16,17,19,20,21,22,24,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,24,3,5,11,14,29,27,85,46,{1,2,4,6,7,8,9,10,12,13,15,16,17,18,19,20,21,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 27,6,20,54,32,7,22,17,92,28,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,19,21,23,24,25,26,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 100,19,61,26,77,16,6,33,27,68,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,17,18,20,21,22,23,24,25,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 31,21,11,2,10,100,26,53,84,16,{1,3,4,5,6,7,8,9,12,13,14,15,17,18,19,20,22,23,24,25,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,41,9,11,3,31,80,61,48,52,{1,2,4,5,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,7,8,11,17,30,32,21,34,28,{1,2,3,4,5,6,10,12,13,14,15,16,18,19,20,22,23,24,25,26,27,29,31,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,6,44,14,7,30,17,18,24,12,{2,3,4,5,8,9,10,11,13,15,16,19,20,21,22,23,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 73,8,4,46,18,3,12,89,29,42,{1,2,5,6,7,9,10,11,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,24,5,50,38,3,23,87,17,{1,2,4,6,7,9,10,12,13,14,15,16,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,6,13,2,3,21,18,24,16,67,{1,4,5,7,8,9,10,11,12,14,15,17,20,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 53,10,31,38,21,18,23,25,5,17,{1,2,3,4,6,7,8,9,11,12,13,14,15,16,19,20,22,24,26,27,28,29,30,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,38,20,53,22,1,25,100,50,17,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,18,19,21,23,24,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,35,6,22,100,7,9,15,73,3,{1,2,5,8,10,11,12,13,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,1,76,12,17,78,80,55,100,75,{2,3,4,5,6,7,8,10,11,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,77,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,8,88,32,16,52,14,51,85,6,{1,2,3,4,5,7,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,46,21,3,9,44,66,7,48,69,{1,2,4,5,6,8,10,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,100,9,53,10,1,18,32,8,43,{2,3,4,5,7,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,19,31,11,43,32,23,18,56,62,{1,2,3,5,6,7,8,9,10,12,13,14,15,16,17,20,21,22,24,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,9,100,8,19,61,12,48,25,14,{1,2,4,5,6,7,10,11,13,15,16,17,18,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,11,21,38,17,23,31,4,39,{1,3,5,7,8,9,10,12,13,14,15,16,18,19,20,22,24,25,26,27,28,29,30,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,27,8,21,34,26,10,24,63,4,{1,3,5,6,7,9,11,12,13,14,15,16,17,18,19,20,22,23,25,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,9,6,12,16,5,24,23,54,25,{1,2,3,4,7,8,10,11,14,15,17,18,19,20,21,22,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 20,13,27,62,3,100,75,16,54,70,{1,2,4,5,6,7,8,9,10,11,12,14,15,17,18,19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,63,64,65,66,67,68,69,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 26,5,60,100,15,33,20,21,66,34,{1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,22,23,24,25,27,28,29,30,31,32,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,100,11,47,17,16,45,29,6,97,{1,2,3,4,5,7,8,9,10,12,13,14,15,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,35,36,37,38,39,40,41,42,43,44,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99}
1: 19,16,23,11,100,17,2,80,7,5,{1,3,4,6,8,9,10,12,13,14,15,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 7,100,11,79,5,32,3,17,12,58,{1,2,4,6,8,9,10,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 9,13,22,94,3,29,57,26,14,2,{1,4,5,6,7,8,10,11,12,15,16,17,18,19,20,21,23,24,25,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99,100}
1: 8,54,73,21,24,22,37,17,3,7,{1,2,4,5,6,9,10,11,12,13,14,15,16,18,19,20,23,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,3,98,6,5,100,28,8,51,4,{2,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 4,6,11,76,100,21,10,16,56,25,{1,2,3,5,7,8,9,12,13,14,15,17,18,19,20,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 37,19,7,2,74,1,36,14,30,12,{3,4,5,6,8,9,10,11,13,15,16,17,18,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,100,8,25,3,10,49,50,32,35,{1,2,4,5,6,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 53,15,27,18,16,35,7,4,31,3,{1,2,5,6,8,9,10,11,12,13,14,17,19,20,21,22,23,24,25,26,28,29,30,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,10,26,24,30,15,13,62,4,34,{1,2,3,5,6,7,8,9,11,12,14,16,17,18,19,20,21,22,23,25,27,28,29,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,37,20,35,9,1,10,29,30,69,{3,4,5,6,7,8,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,31,32,33,34,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,41,22,20,21,50,12,38,7,{1,2,3,4,5,6,8,9,10,11,13,15,16,17,18,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,57,7,96,64,3,19,8,13,4,{1,2,5,6,9,10,11,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100}
1: 19,18,14,62,13,51,27,15,33,12,{1,2,3,4,5,6,7,8,9,10,11,16,17,20,21,22,23,24,25,26,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,6,25,42,95,23,4,30,24,{1,3,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,26,27,28,29,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 20,8,11,18,19,23,28,26,69,25,{1,2,3,4,5,6,7,9,10,12,13,14,15,16,17,21,22,24,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 47,11,2,26,10,5,17,42,56,28,{1,3,4,6,7,8,9,12,13,14,15,16,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,2,5,13,3,71,12,16,52,90,{1,4,6,7,8,9,10,11,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 8,3,5,12,32,44,6,9,28,77,{1,2,4,7,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 37,24,51,23,20,5,29,1,17,84,{2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,19,21,22,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,44,76,12,15,24,100,62,23,78,{1,2,3,4,5,6,7,8,9,10,11,14,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,9,21,10,1,13,41,28,59,7,{2,3,4,5,6,11,12,14,15,16,17,18,19,20,22,23,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,19,26,50,42,45,53,3,51,52,{1,2,4,5,6,7,8,9,11,12,13,14,15,16,17,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,46,47,48,49,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,13,23,40,46,7,29,48,24,51,{1,2,3,4,5,6,8,10,11,12,14,15,16,17,18,19,20,21,22,25,26,27,28,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,47,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,3,23,6,1,13,100,78,77,51,{2,4,5,7,8,9,10,11,12,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,21,46,29,5,100,35,50,48,1,{2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,47,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 12,11,70,30,13,15,39,54,17,21,{1,2,3,4,5,6,7,8,9,10,14,16,18,19,20,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,1,92,9,44,3,56,70,36,40,{2,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,41,42,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,99,100}
1: 32,11,17,24,40,13,63,30,16,39,{1,2,3,4,5,6,7,8,9,10,12,14,15,18,19,20,21,22,23,25,26,27,28,29,31,33,34,35,36,37,38,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,34,2,7,31,53,9,5,69,25,{1,3,4,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,100,15,16,25,76,73,33,43,67,{1,2,3,4,5,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,24,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 42,10,44,2,50,45,35,12,28,34,{1,3,4,5,6,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,36,37,38,39,40,41,43,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,35,33,95,18,51,68,1,24,7,{2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,23,25,26,27,28,29,30,31,32,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,96,97,98,99,100}
1: 6,35,50,17,100,19,45,71,69,7,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 32,53,6,13,100,49,22,38,19,69,{1,2,3,4,5,7,8,9,10,11,12,14,15,16,17,18,20,21,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,16,21,26,32,35,18,36,24,45,{1,2,3,5,6,7,8,9,10,11,12,13,14,15,17,19,20,22,23,25,27,28,29,30,31,33,34,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,20,48,14,46,19,8,34,54,13,{1,2,3,4,5,6,7,9,10,11,12,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,47,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,16,50,34,28,66,40,10,8,25,{1,3,4,5,6,7,9,11,12,13,14,15,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,35,36,37,38,39,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 11,5,3,7,12,100,50,16,69,54,{1,2,4,6,8,9,10,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 4,1,27,70,25,17,38,45,44,56,{2,3,5,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,12,28,68,10,6,3,45,30,49,{1,2,5,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,11,3,53,32,25,49,14,4,23,{1,5,6,7,8,9,10,12,13,15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,64,12,1,8,51,7,59,52,{3,5,6,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,53,54,55,56,57,58,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 36,19,26,1,4,3,5,6,49,17,{2,7,8,9,10,11,12,13,14,15,16,18,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,20,64,3,22,13,24,12,18,79,{1,2,4,5,6,7,8,9,11,14,15,16,17,19,21,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 10,54,15,1,17,9,12,26,100,25,{2,3,4,5,6,7,8,11,13,14,16,18,19,20,21,22,23,24,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,11,18,7,39,46,27,4,29,10,{1,2,3,5,8,9,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,13,21,23,17,15,28,55,61,3,{1,2,4,5,6,7,8,9,10,11,12,14,16,18,20,22,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,17,9,6,29,15,13,20,39,{2,3,4,5,7,8,10,11,12,14,16,18,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 18,20,46,3,100,37,45,29,43,84,{1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,30,31,32,33,34,35,36,38,39,40,41,42,44,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 10,13,2,19,25,1,29,39,78,64,{3,4,5,6,7,8,9,11,12,14,15,16,17,18,20,21,22,23,24,26,27,28,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,8,7,2,39,9,34,57,59,24,{1,3,4,5,6,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 13,15,19,53,32,42,9,23,17,7,{1,2,3,4,5,6,8,10,11,12,14,16,18,20,21,22,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,21,5,6,100,57,16,40,14,59,{1,2,3,4,7,8,9,10,11,12,13,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,41,54,3,22,1,74,100,14,4,{2,5,6,7,9,10,11,12,13,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,41,11,5,27,29,22,46,34,23,{1,2,3,4,7,8,9,10,12,13,14,15,16,17,18,19,20,21,24,25,26,28,30,31,32,33,35,36,37,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 100,1,6,9,10,12,22,26,48,63,{2,3,4,5,7,8,11,13,14,15,16,17,18,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,1,100,51,30,14,24,89,28,6,{2,3,4,5,7,9,10,11,12,13,15,16,17,18,19,20,21,22,23,25,26,27,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99}
1: 4,29,3,51,19,16,24,10,17,81,{1,2,5,6,7,8,9,11,12,13,14,15,18,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,8,67,5,6,45,14,10,7,3,{1,2,4,9,11,12,13,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,11,65,24,30,32,6,5,59,23,{1,2,3,4,7,9,10,12,13,14,15,16,17,18,19,20,21,22,25,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,6,4,53,14,12,52,15,100,16,{1,2,3,5,7,9,10,11,13,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 55,48,25,38,50,7,100,28,33,18,{1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,26,27,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,22,4,31,55,53,12,3,23,43,{1,2,5,6,7,8,9,10,11,13,14,15,16,17,18,20,21,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,33,14,46,39,4,24,23,9,52,{1,2,3,5,6,7,10,11,12,13,15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 14,19,7,25,34,64,3,30,18,35,{1,2,4,5,6,8,9,10,11,12,13,15,16,17,20,21,22,23,24,26,27,28,29,31,32,33,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,10,76,38,36,57,1,43,17,56,{3,4,5,6,7,8,9,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 4,2,15,37,14,3,7,1,5,51,{6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,91,73,33,16,88,3,41,4,23,{1,2,5,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,92,93,94,95,96,97,98,99,100}
1: 19,15,27,20,11,46,30,32,5,98,{1,2,3,4,6,7,8,9,10,12,13,14,16,17,18,21,22,23,24,25,26,28,29,31,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99,100}
1: 10,41,11,1,21,8,6,7,22,56,{2,3,4,5,9,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,9,6,11,10,39,23,89,17,52,{1,2,3,4,5,7,8,12,13,14,15,16,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100}
1: 15,7,36,50,12,17,20,27,23,37,{1,2,3,4,5,6,8,9,10,11,13,14,16,18,19,21,22,24,25,26,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 23,27,10,20,34,14,55,41,97,75,{1,2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,21,22,24,25,26,28,29,30,31,32,33,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,98,99,100}
1: 13,9,23,20,31,6,1,47,14,16,{2,3,4,5,7,8,10,11,12,15,17,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 34,22,61,6,16,9,42,25,3,13,{1,2,4,5,7,8,10,11,12,14,15,17,18,19,20,21,23,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 9,94,100,5,28,31,55,21,16,52,{1,2,3,4,6,7,8,10,11,12,13,14,15,17,18,19,20,22,23,24,25,26,27,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,95,96,97,98,99}
1: 9,100,19,26,4,44,20,80,60,36,{1,2,3,5,6,7,8,10,11,12,13,14,15,16,17,18,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,8,13,6,21,74,20,14,39,84,{1,2,3,4,5,7,9,10,11,12,15,16,17,18,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,100,11,19,2,4,60,39,23,12,{3,5,6,7,8,9,10,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,9,3,58,11,35,27,1,23,64,{4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,24,25,26,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 7,47,35,100,54,14,87,18,28,1,{2,3,4,5,6,8,9,10,11,12,13,15,16,17,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 77,27,13,2,41,9,30,18,15,100,{1,3,4,5,6,7,8,10,11,12,14,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 6,36,51,44,45,7,30,21,34,25,{1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,26,27,28,29,31,32,33,35,37,38,39,40,41,42,43,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,2,79,9,24,11,17,42,29,56,{1,3,4,5,6,7,10,12,13,14,15,16,18,19,20,21,22,23,25,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,2,36,30,11,49,25,16,15,1,{3,4,5,7,8,9,10,12,13,14,17,18,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,5,29,26,25,7,14,50,35,{1,2,3,4,6,8,9,10,11,12,13,15,16,17,18,20,21,22,23,24,27,28,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 100,3,20,7,17,46,14,83,15,53,{1,2,4,5,6,8,9,10,11,12,13,16,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 8,2,9,22,100,33,87,5,64,4,{1,3,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,93,94,95,96,97,98,99}
1: 14,51,18,12,17,21,13,6,42,49,{1,2,3,4,5,7,8,9,10,11,15,16,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,19,34,22,42,39,44,33,24,66,{1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,20,21,23,25,26,27,28,29,30,31,32,35,36,37,38,40,41,43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 33,5,15,42,61,63,24,72,29,21,{1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20,22,23,25,26,27,28,30,31,32,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 61,23,43,22,33,46,24,5,52,17,{1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,18,19,20,21,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,41,42,44,45,47,48,49,50,51,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 8,10,5,30,27,59,13,32,6,40,{1,2,3,4,7,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 25,4,12,15,3,23,11,55,34,65,{1,2,5,6,7,8,9,10,13,14,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 6,15,64,11,18,2,72,28,9,27,{1,3,4,5,7,8,10,12,13,14,16,17,19,20,21,22,23,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,10,5,34,26,100,65,36,14,90,{1,2,3,4,6,7,8,9,11,12,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99}
1: 2,13,27,3,7,30,6,100,22,12,{1,4,5,8,9,10,11,14,15,16,17,18,19,20,21,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 15,24,19,5,8,9,4,60,16,32,{1,2,3,6,7,10,11,12,13,14,17,18,20,21,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 12,24,47,11,4,44,48,6,27,93,{1,2,3,5,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100}
1: 36,20,14,33,54,27,78,38,3,5,{1,2,4,6,7,8,9,10,11,12,13,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32,34,35,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,23,19,47,27,7,14,49,31,4,{2,3,5,6,8,9,10,11,12,13,15,16,17,18,20,21,22,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 22,2,31,70,25,18,14,6,24,17,{1,3,4,5,7,8,9,10,11,12,13,15,16,19,20,21,23,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,13,100,19,76,34,1,7,86,51,{2,3,4,5,6,8,9,10,11,12,14,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 19,10,26,84,20,15,12,34,32,31,{1,2,3,4,5,6,7,8,9,11,13,14,16,17,18,21,22,23,24,25,27,28,29,30,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 3,10,26,46,77,76,2,18,22,8,{1,4,5,6,7,9,11,12,13,14,15,16,17,19,20,21,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 19,100,1,15,10,4,5,27,20,70,{2,3,6,7,8,9,11,12,13,14,16,17,18,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 20,9,41,64,13,5,30,18,7,43,{1,2,3,4,6,8,10,11,12,14,15,16,17,19,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,39,40,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 17,25,43,27,21,4,3,37,16,72,{1,2,5,6,7,8,9,10,11,12,13,14,15,18,19,20,22,23,24,26,28,29,30,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 21,8,9,11,96,100,16,3,55,50,{1,2,4,5,6,7,10,12,13,14,15,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99}
1: 6,51,34,33,40,37,18,2,23,28,{1,3,4,5,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,24,25,26,27,29,30,31,32,35,36,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 1,2,27,31,3,11,20,17,10,51,{4,5,6,7,8,9,12,13,14,15,16,18,19,21,22,23,24,25,26,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 2,8,18,13,27,14,100,7,30,56,{1,3,4,5,6,9,10,11,12,15,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}
1: 2,6,1,10,96,67,12,91,3,45,{4,5,7,8,9,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,97,98,99,100}
1: 8,2,9,23,10,34,6,29,7,25,{1,3,4,5,11,12,13,14,15,16,17,18,19,20,21,22,24,26,27,28,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 15,8,5,25,1,29,51,4,23,69,{2,3,6,7,9,10,11,12,13,14,16,17,18,19,20,21,22,24,26,27,28,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100}
1: 13,8,6,15,69,100,22,59,98,45,{1,2,3,4,5,7,9,10,11,12,14,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,60,61,62,63,64,65,66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,99}
1: 19,6,37,100,41,22,23,21,46,58,{1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,18,20,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99}