# FILE NAME: 00055-00000031.soc
# TITLE: Football 1997
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00055-00000031.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 112
# NUMBER VOTERS: 626
# NUMBER UNIQUE ORDERS: 620
# ALTERNATIVE NAME 1: Vanderbilt
# ALTERNATIVE NAME 2: NC State
# ALTERNATIVE NAME 3: Temple
# ALTERNATIVE NAME 4: USC
# ALTERNATIVE NAME 5: ULM
# ALTERNATIVE NAME 6: Missouri
# ALTERNATIVE NAME 7: LSU
# ALTERNATIVE NAME 8: Louisiana
# ALTERNATIVE NAME 9: SMU
# ALTERNATIVE NAME 10: UAB
# ALTERNATIVE NAME 11: Iowa
# ALTERNATIVE NAME 12: Kentucky
# ALTERNATIVE NAME 13: Wyoming
# ALTERNATIVE NAME 14: New Mexico
# ALTERNATIVE NAME 15: Toledo
# ALTERNATIVE NAME 16: Iowa St
# ALTERNATIVE NAME 17: Army
# ALTERNATIVE NAME 18: Notre Dame
# ALTERNATIVE NAME 19: California
# ALTERNATIVE NAME 20: Tulsa
# ALTERNATIVE NAME 21: Utah St
# ALTERNATIVE NAME 22: Penn St
# ALTERNATIVE NAME 23: Akron
# ALTERNATIVE NAME 24: Georgia Tech
# ALTERNATIVE NAME 25: Michigan
# ALTERNATIVE NAME 26: TCU
# ALTERNATIVE NAME 27: Michigan St
# ALTERNATIVE NAME 28: Nebraska
# ALTERNATIVE NAME 29: Oklahoma St
# ALTERNATIVE NAME 30: Syracuse
# ALTERNATIVE NAME 31: Virginia
# ALTERNATIVE NAME 32: Oklahoma
# ALTERNATIVE NAME 33: Stanford
# ALTERNATIVE NAME 34: UTEP
# ALTERNATIVE NAME 35: North Carolina
# ALTERNATIVE NAME 36: Arizona
# ALTERNATIVE NAME 37: Boston College
# ALTERNATIVE NAME 38: Duke
# ALTERNATIVE NAME 39: Pittsburgh
# ALTERNATIVE NAME 40: Georgia
# ALTERNATIVE NAME 41: Louisville
# ALTERNATIVE NAME 42: Wake Forest
# ALTERNATIVE NAME 43: Arkansas St
# ALTERNATIVE NAME 44: N Illinois
# ALTERNATIVE NAME 45: Arizona St
# ALTERNATIVE NAME 46: West Virginia
# ALTERNATIVE NAME 47: W Michigan
# ALTERNATIVE NAME 48: Minnesota
# ALTERNATIVE NAME 49: Oregon St
# ALTERNATIVE NAME 50: Cincinnati
# ALTERNATIVE NAME 51: Wisconsin
# ALTERNATIVE NAME 52: Northwestern
# ALTERNATIVE NAME 53: Illinois
# ALTERNATIVE NAME 54: Idaho
# ALTERNATIVE NAME 55: UCLA
# ALTERNATIVE NAME 56: Maryland
# ALTERNATIVE NAME 57: BYU
# ALTERNATIVE NAME 58: Mississippi
# ALTERNATIVE NAME 59: Washington
# ALTERNATIVE NAME 60: Ohio St
# ALTERNATIVE NAME 61: Miami OH
# ALTERNATIVE NAME 62: Fresno St
# ALTERNATIVE NAME 63: Florida
# ALTERNATIVE NAME 64: Nevada
# ALTERNATIVE NAME 65: New Mexico St
# ALTERNATIVE NAME 66: Texas Tech
# ALTERNATIVE NAME 67: Tennessee
# ALTERNATIVE NAME 68: Kansas
# ALTERNATIVE NAME 69: Florida St
# ALTERNATIVE NAME 70: Memphis
# ALTERNATIVE NAME 71: Air Force
# ALTERNATIVE NAME 72: Hawaii
# ALTERNATIVE NAME 73: Colorado St
# ALTERNATIVE NAME 74: San Diego St
# ALTERNATIVE NAME 75: Ball St
# ALTERNATIVE NAME 76: Clemson
# ALTERNATIVE NAME 77: Bowling Green
# ALTERNATIVE NAME 78: Mississippi St
# ALTERNATIVE NAME 79: Houston
# ALTERNATIVE NAME 80: South Carolina
# ALTERNATIVE NAME 81: Rice
# ALTERNATIVE NAME 82: Kansas St
# ALTERNATIVE NAME 83: Oregon
# ALTERNATIVE NAME 84: Baylor
# ALTERNATIVE NAME 85: UCF
# ALTERNATIVE NAME 86: Virginia Tech
# ALTERNATIVE NAME 87: Miami FL
# ALTERNATIVE NAME 88: E Michigan
# ALTERNATIVE NAME 89: Colorado
# ALTERNATIVE NAME 90: Arkansas
# ALTERNATIVE NAME 91: Boise St
# ALTERNATIVE NAME 92: Rutgers
# ALTERNATIVE NAME 93: Navy
# ALTERNATIVE NAME 94: Tulane
# ALTERNATIVE NAME 95: Louisiana Tech
# ALTERNATIVE NAME 96: Texas
# ALTERNATIVE NAME 97: Kent
# ALTERNATIVE NAME 98: North Texas
# ALTERNATIVE NAME 99: Alabama
# ALTERNATIVE NAME 100: Auburn
# ALTERNATIVE NAME 101: Southern Miss
# ALTERNATIVE NAME 102: UNLV
# ALTERNATIVE NAME 103: East Carolina
# ALTERNATIVE NAME 104: San Jose St
# ALTERNATIVE NAME 105: Purdue
# ALTERNATIVE NAME 106: Texas A&M
# ALTERNATIVE NAME 107: Utah
# ALTERNATIVE NAME 108: Ohio
# ALTERNATIVE NAME 109: Indiana
# ALTERNATIVE NAME 110: Marshall
# ALTERNATIVE NAME 111: C Michigan
# ALTERNATIVE NAME 112: Washington St
2: 89,35,59,69,25,67,63,18,28,22,45,60,7,100,96,57,11,101,87,30,86,80,27,55,66,106,4,46,82,99,40,76,33,90,73,31,105,81,36,52,19,48,64,107,13,93,37,79,74,103,2,68,21,51,83,71,24,32,17,6,112,50,8,61,78,58,95,41,39,12,15,109,1,14,53,70,20,42,29,108,111,56,9,75,84,62,16,85,77,38,94,98,10,54,102,92,88,26,23,72,5,43,3,110,47,104,49,97,34,65,44,91
2: 67,28,18,69,59,25,89,60,35,63,22,87,100,30,106,7,36,11,4,96,55,86,73,99,27,76,101,57,40,45,82,41,46,80,50,37,74,66,33,32,2,103,51,112,90,78,79,52,105,110,68,19,53,24,81,31,93,13,107,84,83,64,71,38,6,29,58,48,109,61,39,9,16,1,56,3,70,42,20,75,14,49,15,72,12,62,17,92,8,26,94,104,54,21,102,77,95,85,111,34,47,5,88,108,98,91,44,43,23,65,10,97
2: 63,67,35,59,22,69,89,25,18,57,28,45,11,60,30,100,7,99,96,82,4,101,86,51,87,110,33,46,27,31,52,66,80,55,106,103,81,93,79,83,40,112,73,13,36,76,19,24,74,107,71,64,17,68,6,78,41,105,50,90,48,9,109,37,16,84,14,2,70,29,61,1,12,58,53,94,21,32,39,56,85,108,75,8,20,95,38,42,26,3,62,54,49,15,77,10,111,92,102,98,5,88,34,97,104,23,47,72,43,44,91,65
2: 25,69,28,60,67,40,82,35,22,55,45,7,112,63,59,100,106,29,51,73,86,78,11,105,30,101,71,46,6,15,58,57,110,76,31,89,4,27,14,81,83,13,95,80,50,61,66,24,33,99,87,108,36,2,12,18,47,94,96,39,42,64,9,107,52,93,62,21,68,75,90,19,49,54,79,85,103,37,17,1,72,5,74,88,98,102,32,10,34,70,3,77,104,48,97,84,109,65,43,38,20,56,23,91,111,16,8,41,53,92,26,44
2: 63,28,69,60,45,22,89,67,18,86,11,96,33,110,59,30,87,35,57,99,25,82,4,7,83,51,31,52,106,66,76,80,27,103,46,100,55,36,109,81,17,93,101,50,13,79,64,6,73,40,112,78,105,12,90,71,16,61,19,1,75,70,41,74,68,32,24,94,29,9,48,56,14,107,49,58,2,84,53,37,85,108,26,54,21,95,62,15,39,3,8,88,10,38,20,111,23,47,43,5,42,98,104,92,77,102,34,72,97,65,91,44
2: 63,28,60,69,67,22,89,57,99,82,86,45,30,18,59,52,25,103,101,7,35,100,17,11,13,71,96,66,55,107,73,61,64,4,15,87,83,74,51,31,106,93,33,110,46,75,68,27,76,40,36,54,81,50,80,14,8,90,24,48,21,84,78,105,41,37,58,79,95,29,19,32,9,6,85,53,12,112,20,108,111,70,26,56,109,77,43,62,5,39,47,94,2,10,1,88,16,91,92,98,42,38,49,104,23,102,72,3,34,44,65,97
1: 25,28,69,63,67,35,82,55,40,60,100,112,7,59,73,45,22,58,101,105,30,106,11,27,83,4,78,110,24,76,36,31,18,61,80,29,89,71,2,94,108,6,15,51,33,66,95,99,86,14,12,46,50,13,85,81,52,93,90,42,47,107,9,19,57,87,62,39,21,64,74,103,96,68,1,49,32,48,70,75,37,88,5,38,10,77,84,104,102,79,54,56,3,17,109,20,34,98,91,97,23,16,72,41,111,26,53,43,65,8,92,44
1: 28,60,63,35,67,69,89,18,25,22,59,7,11,45,30,96,4,100,86,106,82,101,87,66,99,57,55,27,52,33,46,76,80,73,36,51,40,90,105,31,93,50,68,48,81,37,103,79,107,13,112,64,2,24,74,61,83,6,110,19,41,78,32,39,17,71,109,53,84,8,58,95,56,21,42,14,16,12,20,1,108,29,15,77,85,62,9,26,111,75,70,38,94,88,3,10,54,102,49,92,47,43,5,23,98,104,72,97,34,44,91,65
1: 28,60,63,35,67,69,89,18,25,22,59,7,11,30,45,96,4,100,86,106,82,101,87,66,99,57,55,27,52,33,46,76,80,73,36,40,90,51,105,31,93,50,68,48,81,37,103,79,107,13,112,64,2,24,74,61,83,6,110,19,41,78,39,17,71,32,109,53,84,8,58,95,56,21,42,14,16,12,20,1,108,29,15,77,85,62,9,26,111,75,70,38,94,88,3,10,54,102,49,92,47,43,5,23,98,104,72,97,34,44,91,65
1: 28,60,63,35,67,69,89,18,25,22,59,7,11,30,96,4,45,100,87,86,106,82,99,57,27,52,101,66,55,46,73,33,76,80,40,36,90,51,105,31,68,50,93,2,112,81,37,103,61,13,79,24,74,83,6,19,110,64,107,39,78,48,71,41,17,32,109,21,58,53,95,12,84,29,14,108,1,56,8,42,15,20,62,111,16,85,77,9,26,38,94,70,75,88,5,47,10,54,102,72,3,49,92,23,43,104,98,97,34,44,65,91
1: 67,63,28,60,69,35,89,59,25,18,22,7,11,100,96,45,87,86,46,82,101,99,4,106,27,66,73,57,2,52,33,40,55,80,76,30,68,71,13,90,36,110,112,31,83,74,19,105,93,103,78,29,6,24,21,39,81,37,64,48,107,50,58,32,61,108,51,17,109,14,42,95,15,53,84,12,79,77,70,1,54,20,41,94,56,111,72,62,85,26,75,9,38,5,3,88,47,8,16,49,102,23,43,92,104,10,34,97,98,44,65,91
1: 67,60,59,69,63,35,28,25,7,22,45,100,86,89,55,11,99,73,82,27,18,106,112,68,87,101,66,40,13,57,71,76,52,83,29,46,33,2,4,96,105,39,107,36,74,80,93,110,19,103,61,6,30,37,21,24,14,31,58,51,109,15,108,81,90,48,50,78,95,42,32,54,9,64,12,17,84,77,41,94,1,47,85,70,111,56,53,72,5,20,49,88,26,3,38,62,79,102,75,43,8,23,16,98,92,10,104,65,34,97,91,44
1: 63,28,69,60,35,25,22,67,100,59,86,71,27,7,112,11,89,45,55,101,82,40,99,106,13,57,80,73,39,87,83,2,107,33,4,19,51,14,76,46,96,29,93,81,30,108,95,50,105,15,18,12,58,110,37,68,6,36,31,24,90,78,61,52,66,85,48,74,1,21,77,54,32,103,42,64,94,84,9,41,49,109,102,17,47,111,98,79,70,53,56,38,3,72,62,5,20,26,23,88,75,10,65,43,16,104,8,92,97,34,91,44
1: 63,60,28,25,69,35,100,67,22,71,7,59,86,82,27,99,11,112,89,55,45,106,40,13,33,57,46,50,4,15,29,101,108,78,58,105,73,39,51,96,19,107,110,24,14,2,68,80,30,83,90,18,61,12,76,6,81,87,95,36,93,66,52,85,32,42,31,1,37,74,21,54,103,48,94,102,49,77,9,84,79,38,109,64,56,70,47,98,10,41,72,88,17,20,62,111,26,3,53,5,16,104,23,75,97,34,65,43,92,91,8,44
1: 63,60,28,69,100,25,35,67,7,59,22,112,106,27,71,40,55,82,11,29,86,33,108,99,57,45,89,73,50,4,24,46,61,30,101,13,15,51,58,68,14,105,12,76,110,95,83,2,6,81,36,66,78,80,19,85,96,31,39,94,107,18,90,54,93,1,32,49,77,21,52,74,42,87,56,37,102,48,62,64,47,9,70,103,109,10,84,38,98,79,23,3,41,5,88,20,17,111,26,72,53,16,97,75,104,8,34,43,65,91,92,44
1: 100,28,25,63,69,67,35,7,59,22,60,27,71,112,106,55,82,40,29,86,45,11,108,15,46,24,73,30,33,99,61,14,51,105,13,101,58,50,89,110,57,81,80,31,36,18,66,78,85,94,4,96,12,2,83,95,76,68,54,49,90,1,6,93,19,39,52,42,47,87,107,21,32,9,74,102,70,37,77,56,48,64,98,10,62,84,3,38,79,103,109,72,88,23,5,17,41,111,34,26,97,75,91,20,53,16,104,8,43,65,92,44
1: 28,63,69,25,67,100,35,59,60,22,112,55,82,40,7,27,45,29,108,106,86,71,73,15,58,105,11,61,89,30,46,80,81,101,57,99,24,13,4,33,51,31,94,14,12,83,78,85,110,36,50,66,18,6,95,2,96,52,76,49,42,19,93,47,87,39,90,54,32,68,1,21,64,9,74,62,48,107,70,77,102,79,88,37,56,38,84,10,109,72,103,3,17,98,41,5,75,20,91,23,111,104,97,53,16,34,26,8,43,65,92,44
1: 25,28,69,63,67,59,100,60,35,22,112,82,55,40,7,45,108,27,15,105,73,11,46,89,101,106,80,99,29,30,58,86,71,4,57,61,24,81,33,51,78,12,13,18,110,83,6,50,94,36,66,14,31,76,85,2,95,42,87,21,52,96,19,49,90,9,64,47,93,107,39,62,74,79,68,32,1,48,77,103,54,88,102,70,37,56,38,10,104,84,5,17,109,72,75,3,41,97,16,20,23,91,98,111,34,53,26,65,8,92,43,44
1: 28,25,69,67,60,59,63,35,40,82,100,22,55,7,45,112,11,15,73,108,30,106,27,101,78,105,80,86,58,29,46,89,99,6,71,24,31,61,13,4,76,110,51,94,33,18,14,95,12,83,81,57,50,66,36,2,9,87,19,85,47,42,21,90,52,64,62,93,49,96,68,107,39,103,70,74,1,32,48,79,37,5,88,77,84,102,54,109,38,3,75,10,17,20,56,97,72,34,104,16,91,98,41,111,23,53,65,26,43,8,44,92
1: 25,69,28,67,60,63,40,82,59,7,35,100,55,112,45,22,73,11,106,105,30,78,86,80,27,29,101,58,15,61,108,71,46,4,89,51,31,110,83,6,13,94,76,24,99,18,66,14,36,12,95,81,50,57,2,33,9,87,85,42,47,52,93,19,64,21,90,62,74,103,107,68,39,1,96,49,70,48,75,88,32,37,5,102,79,109,38,77,54,84,20,10,17,3,56,72,97,34,23,16,98,91,104,41,111,53,43,26,65,8,92,44
1: 25,69,28,67,60,63,82,100,35,55,40,22,59,112,7,45,73,106,30,78,11,58,86,27,105,101,15,71,110,4,61,46,80,18,66,29,51,89,24,108,31,83,6,14,76,13,36,95,94,2,12,99,33,9,50,81,85,21,52,57,87,47,93,19,42,90,107,74,103,64,62,39,96,48,70,68,75,49,1,37,88,54,5,32,102,38,77,79,84,10,17,109,3,56,20,104,34,97,72,23,16,91,98,111,41,53,43,65,26,8,92,44
1: 25,28,69,67,63,60,35,82,55,100,40,22,112,7,45,59,73,106,30,11,105,101,27,58,18,78,71,110,4,61,86,76,29,24,46,15,83,31,89,80,51,14,6,108,2,94,36,95,66,33,99,12,13,85,81,52,50,87,93,90,47,107,9,42,57,21,19,39,62,64,103,74,96,68,48,37,32,1,75,49,70,88,5,38,77,10,84,54,104,102,17,3,79,56,109,20,34,98,91,97,23,16,72,41,111,26,53,43,65,8,92,44
1: 25,28,69,67,63,60,35,82,55,100,40,112,7,22,59,73,106,30,27,45,11,105,58,101,71,18,110,78,4,76,31,61,29,24,36,15,83,89,80,14,51,86,6,2,94,108,46,95,66,33,99,12,13,85,81,52,50,93,47,90,107,39,42,9,87,57,21,19,62,64,74,103,96,68,1,48,32,37,75,49,70,88,5,38,77,10,84,102,54,104,17,79,3,56,109,20,98,34,91,97,23,72,16,41,111,26,53,43,65,8,92,44
1: 25,28,69,67,63,60,35,82,55,40,100,112,7,73,22,59,30,27,45,11,106,105,58,101,110,71,18,78,4,76,31,61,29,24,36,83,89,80,51,86,6,108,2,94,15,46,14,66,95,33,99,12,13,85,93,52,81,50,90,47,107,39,42,9,87,57,19,21,62,74,64,103,96,68,1,48,32,37,75,49,70,88,5,38,77,10,104,102,84,54,79,3,56,17,109,20,91,34,98,97,72,23,16,41,111,26,53,43,65,8,92,44
1: 28,69,63,82,60,55,25,59,67,112,35,11,73,7,30,40,106,45,22,89,100,27,4,18,105,101,76,61,31,83,36,66,93,58,110,6,24,29,33,2,99,80,52,94,87,13,86,51,78,46,14,96,90,64,71,19,50,12,107,48,1,57,85,74,95,62,15,81,103,42,84,39,9,37,21,68,38,49,53,32,108,70,47,56,75,109,88,102,26,17,10,41,72,79,77,5,3,20,34,91,98,54,104,16,23,97,44,92,43,111,65,8
1: 28,63,60,69,18,67,89,96,22,25,106,30,64,82,66,45,59,35,100,11,4,87,31,57,7,99,86,27,33,55,76,51,68,73,52,103,13,83,105,80,112,46,90,84,74,71,40,107,36,61,101,93,19,2,41,97,24,95,50,53,15,48,102,78,37,109,32,6,1,56,17,58,81,110,79,29,91,16,26,54,111,12,75,43,14,49,8,47,9,70,62,21,88,94,38,85,77,44,20,39,108,5,3,65,42,92,104,10,72,98,34,23
1: 28,63,60,69,18,67,89,96,22,25,106,30,64,82,66,45,59,35,100,11,4,87,31,57,7,99,86,27,33,55,76,51,68,73,103,52,13,83,105,80,112,46,90,84,74,71,40,107,36,61,101,93,19,2,41,97,24,95,50,53,15,48,102,78,37,32,109,6,1,56,17,58,81,110,79,29,91,16,26,54,111,12,75,43,14,49,8,47,9,70,62,21,88,94,38,85,77,44,20,39,108,5,3,65,42,92,104,10,72,98,34,23
1: 28,63,60,67,69,18,89,96,22,25,106,30,82,59,45,35,66,100,11,64,86,4,87,31,57,7,99,27,33,73,76,55,68,52,13,51,103,83,112,105,80,46,90,101,84,74,40,71,2,36,61,93,19,107,24,50,95,53,41,15,97,48,102,37,78,109,6,56,1,32,17,110,81,58,29,111,12,54,79,91,26,16,75,14,21,49,47,39,43,70,9,62,85,88,77,94,20,38,8,108,44,5,65,3,42,104,10,92,72,98,34,23
1: 28,63,60,67,69,18,89,96,59,25,22,106,82,100,11,86,30,35,45,87,66,7,4,99,31,27,13,64,57,73,76,101,55,33,103,68,46,112,74,71,83,19,80,36,51,24,105,52,40,90,84,107,15,61,93,2,53,32,41,6,50,109,78,110,14,29,1,48,37,58,54,12,26,17,56,39,81,21,49,94,75,77,70,85,62,79,47,9,95,20,16,88,108,42,8,38,3,10,5,111,104,92,98,102,72,43,23,34,91,44,65,97
1: 63,28,67,60,69,25,59,22,18,89,106,66,86,11,35,55,45,82,100,7,27,13,87,99,30,4,96,31,101,73,57,112,76,83,19,105,33,64,74,40,68,46,24,103,52,71,80,61,36,2,107,84,51,15,29,93,109,90,41,48,6,14,78,58,32,85,50,53,37,17,39,9,110,1,54,12,26,77,21,56,81,49,94,75,70,42,88,47,108,79,38,62,95,20,16,5,10,72,3,102,111,104,8,98,92,43,34,23,91,44,65,97
1: 63,28,67,69,22,60,106,25,11,59,55,89,86,35,100,27,45,7,18,82,87,99,57,31,76,96,66,4,101,30,112,13,80,71,51,33,64,19,40,73,105,107,83,46,74,93,36,61,90,85,24,2,6,50,12,15,32,52,84,39,68,14,103,29,58,78,48,37,1,109,53,81,41,110,49,17,21,95,94,56,108,77,54,70,47,42,75,9,26,62,79,38,3,98,102,20,88,5,10,104,72,23,16,43,92,8,111,34,91,97,44,65
1: 63,28,67,22,69,11,60,106,25,59,35,82,55,27,89,7,100,18,86,112,4,99,33,30,96,57,45,66,13,76,87,101,31,46,71,19,40,51,105,36,73,107,80,61,24,50,93,78,6,12,74,90,29,52,110,85,15,2,32,64,39,58,68,14,84,103,109,53,1,83,108,49,37,81,94,95,48,41,56,42,21,17,9,54,70,38,26,79,98,47,3,62,75,10,88,77,102,20,5,72,92,104,16,43,111,23,34,44,8,91,65,97
1: 63,28,69,67,22,55,60,25,106,59,11,100,35,82,27,89,7,30,112,86,40,66,33,4,18,99,73,45,13,57,76,71,101,46,29,24,61,96,36,31,12,87,51,105,74,107,58,19,2,85,50,110,52,80,94,6,93,32,68,108,64,15,90,14,83,1,84,81,39,78,49,53,9,95,48,109,21,56,42,41,70,103,26,54,37,62,47,38,3,77,98,10,75,102,17,5,79,104,20,23,16,88,92,43,111,97,8,72,44,34,65,91
1: 28,63,69,67,60,59,22,106,55,25,100,11,30,82,7,27,35,73,112,89,33,45,18,40,86,66,71,61,99,13,31,29,46,36,57,76,101,4,105,94,51,24,87,110,80,2,52,58,96,15,14,12,108,74,50,85,93,19,64,107,68,90,81,6,1,84,32,83,42,49,48,78,37,9,53,95,21,39,103,70,56,26,109,54,10,47,38,41,62,98,3,17,102,75,77,5,79,72,88,104,20,23,16,34,92,91,44,8,43,111,97,65
1: 28,63,69,59,67,30,60,106,55,25,82,22,112,100,11,7,45,73,27,35,89,105,86,40,18,61,33,66,99,4,13,94,46,29,80,24,101,76,31,58,51,52,12,71,57,87,2,36,96,64,15,81,85,108,110,83,6,93,107,50,74,84,14,42,32,90,48,68,49,1,78,9,38,103,53,39,37,21,56,109,95,62,70,19,102,47,10,54,26,17,98,75,88,3,79,77,72,41,5,20,91,16,104,92,111,23,44,34,43,97,8,65
1: 28,63,59,69,67,60,11,25,30,55,82,22,106,100,35,89,112,73,45,7,18,27,105,40,99,61,66,33,46,101,13,80,86,29,4,24,64,76,57,87,58,94,12,83,31,51,36,21,110,2,71,15,52,81,6,50,96,85,93,74,14,48,108,90,107,49,42,32,68,84,9,78,103,1,62,19,39,38,95,37,53,56,70,47,109,10,26,102,79,17,72,77,20,88,41,16,3,104,75,5,91,97,54,34,98,44,23,92,8,43,111,65
1: 28,69,63,59,60,11,67,30,25,82,55,22,40,45,7,112,35,73,106,89,100,105,18,27,86,80,101,61,29,94,66,13,33,4,46,99,31,76,64,24,58,2,51,15,83,87,36,6,52,110,78,71,93,81,50,21,96,57,62,48,14,12,9,85,74,108,42,90,107,103,49,19,1,84,95,68,32,38,39,37,70,47,53,56,109,102,10,79,17,20,3,5,72,26,75,88,16,77,91,41,34,104,54,97,44,23,98,43,65,92,8,111
1: 28,69,60,67,63,11,25,59,7,55,112,82,30,73,106,45,22,40,27,105,89,18,35,100,86,4,61,29,80,83,66,101,13,31,46,64,36,24,76,6,51,93,2,58,33,78,110,52,99,94,87,71,57,50,48,15,21,14,81,96,62,12,9,1,85,74,19,90,107,37,42,108,103,84,49,95,68,38,70,39,32,102,109,53,47,75,56,79,10,72,20,41,88,26,16,17,5,34,3,77,91,97,104,23,54,92,44,98,43,111,65,8
1: 28,69,63,60,55,25,67,82,59,11,112,73,30,7,45,22,106,18,100,27,35,4,105,40,61,66,89,86,29,58,101,80,31,33,46,6,51,76,13,87,24,2,83,93,52,78,110,36,94,99,14,96,71,64,57,21,90,12,50,107,74,81,95,48,15,85,19,1,9,62,103,39,84,37,49,38,42,108,68,70,53,109,32,75,102,56,47,88,10,79,20,17,26,3,77,72,34,41,91,5,104,54,16,97,23,98,44,92,43,111,65,8
1: 28,69,63,67,60,82,55,25,112,11,22,59,106,45,7,73,30,18,35,40,100,4,105,27,89,76,86,101,6,93,61,58,66,31,46,94,51,33,83,87,29,36,24,80,52,2,110,99,78,14,13,64,71,90,48,57,19,96,95,62,107,50,21,85,74,81,15,39,1,103,84,12,9,42,37,38,49,108,53,68,70,47,75,32,56,88,109,17,10,79,26,3,102,77,41,20,72,5,34,91,104,98,54,16,23,97,44,92,43,111,65,8
1: 28,69,63,60,55,82,25,67,11,112,59,106,30,73,22,27,35,7,45,105,40,89,100,18,4,76,31,61,93,101,58,86,66,51,52,29,36,6,24,83,94,33,80,46,2,99,110,13,14,64,71,90,78,87,96,12,19,107,1,85,95,74,21,57,50,39,62,15,48,81,103,84,37,42,9,53,108,32,68,49,38,47,70,75,56,102,17,109,10,88,26,72,79,41,5,77,3,20,34,91,98,104,54,16,23,97,44,92,111,43,65,8
1: 28,69,63,60,55,25,82,67,112,11,59,30,7,73,27,22,35,40,106,45,4,18,100,89,105,76,31,61,101,6,93,66,86,51,83,36,94,58,29,46,52,110,2,87,33,24,71,99,80,13,96,78,90,64,14,19,107,74,50,85,48,1,95,57,39,62,81,21,15,37,84,42,103,9,12,53,32,68,108,49,38,70,47,109,75,56,88,102,17,72,26,10,79,77,3,41,20,5,34,91,104,54,98,16,23,97,44,92,43,111,65,8
1: 28,25,67,69,63,40,100,82,35,112,55,7,60,59,22,58,45,78,73,31,105,101,4,83,36,24,95,106,76,27,80,18,110,33,30,51,15,71,6,2,108,90,61,29,89,66,12,47,14,99,94,81,11,50,46,42,52,86,9,85,57,103,13,68,19,39,107,74,93,62,96,49,32,87,5,64,104,21,1,37,77,75,34,56,88,70,79,38,97,48,3,109,84,91,20,23,10,72,98,54,102,17,16,111,8,26,41,53,65,44,92,43
1: 63,69,60,42,46,22,59,35,28,89,25,67,100,14,18,112,19,45,87,7,11,99,86,96,78,101,4,74,27,21,71,94,52,83,13,76,40,80,33,82,95,103,58,111,15,110,90,72,108,39,73,55,29,57,6,24,106,49,109,31,68,1,70,12,23,66,54,65,79,84,107,53,93,85,36,92,34,50,47,77,32,81,9,2,104,17,105,43,56,5,16,48,44,26,97,88,8,62,64,98,10,41,30,20,61,3,38,102,37,75,51,91
1: 25,89,40,7,100,73,14,27,45,63,59,28,83,106,60,58,80,78,31,21,43,67,22,112,64,87,95,69,34,82,36,85,35,101,70,9,68,47,57,13,65,12,107,74,71,19,77,55,99,108,90,4,61,39,76,5,111,23,102,86,29,33,66,6,109,41,54,26,3,10,84,72,93,44,53,15,56,2,49,37,81,1,46,79,48,16,42,103,75,30,110,62,51,52,96,88,32,91,97,8,104,94,105,92,98,38,11,17,18,50,24,20
1: 100,63,71,15,60,28,69,40,22,27,95,25,35,86,82,83,14,112,59,7,19,58,81,76,89,105,67,80,33,101,78,13,39,2,47,29,57,73,11,77,46,108,12,37,106,51,111,45,90,99,18,3,50,21,30,68,93,107,49,74,110,1,31,9,55,61,94,24,52,32,43,36,64,103,102,48,85,6,87,72,4,109,42,96,98,84,41,38,56,97,5,65,70,66,34,79,91,104,44,23,54,16,26,20,62,53,75,92,17,88,8,10
1: 100,25,63,35,15,82,28,71,69,112,60,27,22,40,86,7,14,89,59,108,58,33,105,78,67,57,90,99,29,39,4,95,11,24,106,46,55,73,45,83,50,19,96,80,81,18,68,51,13,110,12,76,77,107,47,101,21,42,56,2,6,1,30,103,52,32,61,37,94,31,9,74,49,97,38,85,43,3,79,87,102,93,64,34,36,72,88,111,84,109,48,98,70,5,41,104,66,54,20,23,26,65,91,10,62,17,92,16,44,75,53,8
1: 28,63,100,35,15,40,112,25,82,67,106,69,27,7,59,33,60,29,71,105,108,78,55,22,57,89,58,14,31,18,4,83,12,80,24,56,95,96,47,90,77,61,45,86,73,81,76,99,50,85,36,3,51,11,19,13,46,68,42,30,2,101,94,9,49,37,39,52,103,1,110,54,21,74,64,32,6,23,38,93,5,102,109,87,97,79,98,66,72,62,107,84,88,104,48,20,70,92,17,111,75,34,10,41,26,16,8,91,44,65,53,43
1: 100,7,28,112,63,22,67,15,29,35,25,106,82,40,71,27,55,59,60,69,78,105,108,58,96,89,14,31,80,33,81,83,47,57,36,18,45,24,12,90,95,86,85,73,61,46,13,77,99,4,56,49,101,76,51,50,3,11,110,54,94,1,42,9,30,19,2,39,37,74,66,52,103,68,64,98,93,102,21,38,32,97,87,6,5,72,23,79,109,84,104,48,88,62,107,70,111,17,92,10,34,41,16,91,75,8,26,44,20,53,43,65
1: 28,63,100,67,112,22,82,15,35,7,59,58,40,29,25,69,55,106,60,78,108,105,31,80,45,89,57,4,81,71,33,83,12,27,36,24,95,61,96,47,14,90,86,73,85,51,18,99,46,6,77,42,76,52,19,101,13,30,49,94,11,2,56,110,39,68,9,74,50,3,32,87,79,64,66,1,103,109,97,62,38,72,88,93,21,37,102,54,84,5,104,48,23,107,75,98,91,70,17,111,34,10,41,16,20,8,44,92,65,53,26,43
1: 28,112,69,100,63,67,25,15,35,59,22,82,40,60,55,105,7,108,45,29,78,46,57,80,58,4,81,31,89,24,27,51,101,99,95,6,73,33,71,61,50,106,11,83,47,90,14,86,12,110,66,36,76,30,94,18,42,68,96,49,13,52,19,9,39,77,87,85,2,79,74,21,62,107,103,56,104,64,1,32,88,97,93,3,109,72,48,91,37,38,5,34,102,70,23,75,84,16,54,10,17,20,111,41,98,65,53,8,26,92,44,43
1: 28,69,67,25,40,35,15,22,59,82,60,63,100,112,78,7,55,45,108,105,11,80,31,95,101,58,6,106,29,4,24,73,27,46,51,71,89,47,76,57,33,99,81,61,86,30,90,66,14,110,50,83,12,94,36,68,18,9,13,19,42,87,52,49,2,62,103,21,96,64,77,39,97,32,85,1,74,34,5,56,79,88,109,107,37,104,3,70,84,20,48,93,72,38,75,91,102,16,54,10,17,23,98,111,41,65,8,53,26,44,92,43
1: 28,69,25,67,40,82,63,100,35,60,112,7,22,59,78,55,45,15,105,31,58,106,4,80,51,108,73,95,29,101,6,61,11,46,83,71,89,86,76,30,110,66,57,24,81,27,47,14,99,33,12,50,94,9,90,13,36,18,68,42,19,2,52,103,49,64,87,62,21,74,96,85,1,75,88,77,5,39,109,32,107,104,93,34,97,56,37,79,84,70,72,3,48,20,38,23,102,54,91,16,98,10,17,111,41,8,65,53,26,44,92,43
1: 69,28,25,67,82,100,35,112,63,22,40,60,55,78,45,59,15,7,58,4,105,106,46,31,51,101,80,95,110,71,73,66,6,30,61,14,24,86,83,108,29,76,27,36,89,18,47,33,9,57,2,12,11,81,99,90,94,13,50,52,42,103,74,21,68,19,87,96,85,107,49,64,62,93,77,75,39,34,104,32,5,88,56,97,1,37,48,70,79,109,3,84,38,54,17,72,20,23,102,91,16,10,111,98,8,41,53,65,44,26,92,43
1: 25,28,67,69,63,112,100,22,35,40,82,55,60,45,7,59,78,58,105,106,4,31,101,95,15,73,24,76,71,51,83,6,18,30,80,110,29,14,27,33,46,61,108,36,90,2,89,66,47,11,81,12,86,94,99,52,42,50,9,57,85,103,68,13,107,74,19,96,87,39,62,93,32,21,5,49,64,37,104,77,75,1,34,56,88,70,48,38,97,3,79,84,109,91,20,17,23,72,98,54,10,102,16,111,8,26,41,53,65,92,44,43
1: 25,28,67,69,63,112,100,40,35,82,55,60,22,7,58,59,45,78,106,105,31,4,27,101,15,95,73,76,36,18,71,24,30,83,6,51,80,110,29,14,33,108,61,2,89,66,90,47,11,81,12,46,94,99,86,52,42,50,9,85,57,39,103,68,13,107,74,19,62,96,93,32,87,21,49,5,64,104,37,1,75,77,34,88,56,70,48,38,97,79,3,109,84,91,20,23,17,98,54,10,72,102,16,111,8,26,41,53,65,44,92,43
1: 25,67,28,69,63,112,40,82,35,100,55,60,22,7,58,59,45,78,31,105,73,106,4,101,27,110,95,76,71,36,18,24,83,30,6,51,80,15,29,33,108,61,2,89,66,14,90,47,11,46,12,81,94,99,86,52,42,50,9,85,57,39,103,13,68,107,74,19,93,62,96,32,87,49,21,5,64,104,37,1,77,75,34,88,56,70,97,48,38,79,3,109,84,91,20,23,72,10,54,98,102,17,16,111,8,26,41,53,65,44,92,43
1: 28,25,69,63,82,67,112,35,60,55,40,73,105,101,22,59,100,7,45,58,4,83,106,36,6,76,30,51,27,11,89,31,78,94,24,110,2,18,14,29,52,93,61,66,80,33,19,12,90,95,46,99,50,85,39,9,62,1,71,103,96,107,81,15,86,87,48,42,32,13,74,57,37,68,38,16,21,64,49,84,70,109,108,53,10,47,34,56,104,20,102,41,26,88,72,75,91,79,5,3,17,54,98,97,77,23,92,111,44,65,8,43
1: 63,69,60,45,67,22,28,35,30,99,25,86,89,7,11,57,18,59,52,87,110,101,31,103,100,96,82,17,80,46,76,40,4,93,79,13,33,78,27,55,70,74,66,24,71,105,81,83,12,107,41,48,90,19,50,36,8,73,56,109,6,106,1,37,58,2,112,42,20,9,64,39,51,14,53,68,21,84,29,94,95,49,32,75,16,38,61,108,54,26,98,92,15,3,10,62,102,85,77,23,5,43,111,104,72,34,44,88,91,47,65,97
1: 63,69,60,45,67,99,22,28,35,2,25,46,89,86,7,11,57,87,18,59,52,101,31,103,100,78,96,82,17,12,80,13,112,76,40,4,93,50,33,73,30,27,21,39,71,74,24,105,81,83,72,1,90,19,36,56,109,65,6,106,29,58,37,66,79,68,61,110,42,9,95,14,53,23,70,94,49,32,92,38,84,55,108,47,26,111,15,41,62,54,20,107,102,85,5,104,43,34,64,48,51,8,16,98,88,91,77,75,10,3,97,44
1: 63,60,69,89,67,28,99,59,11,22,7,87,35,25,13,86,4,100,73,96,45,27,106,82,18,2,19,83,55,33,30,52,101,57,40,112,74,80,31,46,71,76,78,94,36,6,24,29,103,15,17,12,66,32,109,68,14,90,39,93,51,70,42,21,49,81,1,58,110,85,107,54,61,50,79,26,53,72,64,108,84,9,62,41,20,16,105,56,75,104,5,77,48,95,88,47,23,111,38,3,92,37,10,43,8,102,98,65,34,44,97,91
1: 63,25,59,69,67,60,28,99,11,22,86,7,35,89,55,13,45,27,100,87,73,112,106,4,40,19,33,101,76,2,57,29,82,83,30,78,74,66,31,68,51,80,109,24,96,17,103,12,42,32,93,52,6,39,36,105,71,81,85,94,18,1,21,61,54,58,15,107,46,14,49,70,9,108,64,50,110,41,79,90,72,84,26,48,53,77,20,37,88,56,95,5,38,62,75,16,3,10,104,111,102,47,98,43,23,92,8,34,65,44,97,91
1: 63,28,25,69,11,22,60,67,59,100,7,35,27,89,55,86,13,106,40,99,57,45,4,76,112,71,101,19,39,29,87,80,51,82,12,85,33,2,30,36,93,73,78,24,83,31,32,6,96,1,81,42,107,90,105,74,18,108,50,49,52,61,14,58,94,21,46,17,66,103,68,110,15,109,64,54,48,70,79,84,41,53,9,95,38,56,37,62,77,20,26,98,102,72,3,75,10,104,5,16,47,88,23,111,92,43,65,97,8,34,44,91
1: 63,28,69,25,22,60,67,59,11,100,35,7,86,27,55,89,99,13,40,106,4,82,112,45,78,29,71,57,33,39,24,76,19,101,12,30,32,36,18,51,73,96,61,42,85,2,105,6,46,87,58,83,49,80,31,50,108,107,74,81,15,110,90,1,109,14,94,38,21,93,66,103,9,52,68,54,53,79,95,70,48,84,17,64,41,56,102,98,62,10,37,20,26,3,72,104,16,88,75,5,77,47,111,92,23,43,34,97,65,44,8,91
1: 63,28,69,60,25,22,59,100,67,11,55,35,40,106,7,27,89,13,112,29,82,61,12,33,99,86,4,45,30,24,101,73,57,71,76,46,36,51,58,108,31,6,2,78,105,18,80,94,49,1,83,39,42,74,81,68,66,32,96,50,95,19,15,110,14,85,87,21,52,90,93,109,9,54,62,70,48,107,56,38,53,3,64,102,103,26,41,79,84,10,98,20,37,104,77,17,47,16,5,75,72,23,88,97,34,92,111,8,43,65,44,91
1: 28,22,69,25,100,60,7,63,67,59,27,11,35,106,55,82,40,29,45,112,89,13,99,30,73,24,36,61,33,31,51,86,46,80,105,18,4,12,14,101,71,81,94,83,58,108,49,66,57,76,85,42,2,96,52,78,110,19,15,68,32,50,39,93,87,6,90,21,95,1,74,54,9,38,70,64,107,109,84,56,103,48,3,102,10,53,26,79,37,47,98,72,41,62,5,17,104,16,77,34,88,20,75,23,97,111,44,8,92,43,91,65
1: 28,69,25,22,63,67,59,60,100,82,11,112,35,55,45,106,40,27,89,58,29,7,30,105,73,61,99,81,80,13,12,4,86,24,46,52,83,31,94,101,33,18,36,108,42,51,57,14,66,71,76,85,2,15,49,78,6,93,110,39,96,19,38,48,68,32,95,74,64,1,87,21,9,70,109,79,84,50,90,107,102,37,103,54,62,56,10,53,47,3,72,41,20,26,104,88,16,5,77,17,34,75,91,98,92,97,23,111,44,8,43,65
1: 28,69,25,60,22,63,59,67,11,82,35,100,112,55,40,105,45,89,27,7,80,99,73,30,58,81,101,46,66,106,4,36,12,6,18,29,24,83,31,33,42,86,52,57,50,61,94,9,78,13,76,15,51,2,64,49,85,110,93,90,108,87,19,96,48,32,21,107,68,14,71,74,38,39,79,103,95,62,1,70,56,10,109,37,102,47,16,84,72,53,54,104,41,26,20,77,3,17,88,5,91,34,92,75,97,23,98,8,44,111,65,43
1: 28,60,69,25,59,67,22,11,40,82,7,45,63,55,35,30,112,105,73,80,27,6,58,89,78,101,100,66,106,24,9,31,36,94,29,76,4,46,18,86,13,52,83,2,15,95,81,12,99,19,33,50,42,51,48,61,14,93,110,90,87,64,62,68,108,49,71,103,38,32,21,70,57,85,84,109,96,1,37,39,107,74,79,102,20,34,16,72,47,56,10,5,3,91,53,41,54,88,17,104,26,97,75,77,44,98,65,23,111,92,8,43
1: 25,28,69,60,67,40,22,82,7,112,55,59,45,63,73,35,6,105,51,80,11,27,30,106,29,4,58,78,83,100,36,31,101,66,94,24,9,89,46,18,76,61,2,86,13,19,12,52,50,93,81,48,99,110,14,95,33,90,87,42,64,15,71,37,38,1,68,74,103,57,70,21,49,85,96,109,108,62,32,16,79,39,107,84,10,102,34,47,72,56,20,88,53,5,75,91,41,54,3,26,17,104,77,23,97,98,92,111,44,65,8,43
1: 25,28,69,22,60,67,82,55,63,45,112,35,100,73,40,59,106,105,51,58,6,4,27,101,66,18,7,78,11,30,83,36,80,76,29,2,31,89,52,94,46,61,24,110,19,86,12,71,14,9,90,95,33,93,48,15,99,13,21,87,103,50,107,96,42,38,37,85,39,81,74,1,57,68,62,49,64,10,70,109,32,34,16,84,20,102,108,47,53,79,56,41,88,75,104,91,3,5,54,72,26,17,77,97,23,92,98,111,44,65,8,43
1: 25,28,22,67,60,63,69,112,55,82,45,35,105,40,73,100,106,59,4,18,6,51,58,101,11,7,76,83,30,94,14,27,36,78,2,31,29,89,46,90,24,52,61,110,66,71,80,33,19,12,95,93,99,85,39,86,9,62,87,103,50,15,107,81,96,48,42,32,13,74,1,21,57,37,68,38,16,64,49,84,70,109,108,53,10,47,34,56,104,20,102,41,26,88,75,91,79,5,17,3,54,72,98,97,77,23,92,111,44,65,8,43
1: 25,28,60,63,69,67,112,55,82,35,22,105,73,100,40,106,27,58,59,4,6,51,101,11,7,36,45,30,76,18,89,83,31,78,94,14,24,2,29,52,61,110,66,71,80,33,19,12,39,90,95,93,46,99,85,9,62,1,103,96,50,15,107,81,86,87,48,42,32,13,74,21,57,37,68,38,16,64,49,84,70,109,108,53,10,47,34,56,104,20,102,41,26,88,72,75,91,79,5,17,3,54,98,97,77,23,92,111,44,65,8,43
1: 25,28,67,60,63,69,112,55,82,35,22,73,105,100,40,27,58,59,4,6,51,101,11,7,36,45,30,106,76,18,89,83,31,78,94,24,110,2,14,29,52,93,61,66,71,80,33,19,12,39,90,95,46,99,85,9,62,1,103,96,50,107,81,86,15,87,48,42,32,13,74,21,57,37,68,38,16,64,49,84,70,109,108,53,10,47,34,56,104,20,102,41,26,88,72,75,91,79,5,3,17,54,98,97,77,23,92,111,44,65,8,43
1: 28,69,25,35,60,63,67,82,55,22,112,59,40,100,45,106,83,101,73,105,6,11,27,89,7,58,4,78,51,36,18,30,76,29,52,24,31,80,2,46,99,14,95,33,90,61,87,12,32,66,86,19,39,81,110,50,94,42,93,1,62,96,13,107,103,71,68,48,108,57,64,74,9,21,37,15,70,84,49,38,85,79,75,109,34,72,47,3,41,5,56,20,53,26,16,104,98,102,88,10,91,17,54,77,92,111,23,97,8,44,43,65
1: 89,35,59,69,67,25,63,28,18,22,60,45,7,100,96,57,11,30,87,86,101,80,27,106,99,4,66,82,46,40,2,73,76,33,55,90,31,52,105,81,21,36,19,112,13,68,93,37,74,64,107,103,79,83,51,71,24,17,6,61,50,39,32,78,12,95,58,1,15,109,48,29,53,111,70,42,108,8,14,20,72,41,56,9,62,84,16,85,75,77,38,54,94,102,88,98,92,10,5,26,23,43,110,47,104,49,3,34,97,65,44,91
1: 89,35,59,69,25,67,63,28,18,22,60,7,100,45,96,57,11,87,86,101,27,106,4,99,82,66,80,2,30,46,40,73,55,31,33,90,19,52,21,13,83,112,74,68,64,79,36,103,76,105,24,107,81,15,71,93,6,42,51,32,39,61,50,78,95,109,12,1,58,14,53,29,48,70,108,111,8,20,41,37,17,94,9,85,84,56,54,72,62,16,77,110,75,38,102,10,5,98,26,92,88,23,49,43,47,3,104,34,65,44,91,97
1: 25,89,59,35,69,67,63,28,22,60,7,11,45,100,18,96,57,87,86,101,27,106,4,99,66,82,2,55,73,40,80,46,30,76,21,33,19,112,13,90,83,71,74,31,64,68,103,107,105,52,36,79,15,24,42,6,93,81,39,78,32,109,29,50,1,12,58,95,108,51,72,14,61,70,94,53,110,85,41,20,9,54,48,17,77,37,111,84,8,56,75,62,16,38,3,98,26,5,102,88,92,10,23,49,47,104,43,34,65,97,44,91
1: 25,59,89,35,69,63,67,28,45,22,7,60,11,96,100,57,86,106,27,101,18,87,99,4,66,82,55,73,40,76,112,46,105,30,33,80,2,19,21,13,83,31,32,52,39,24,74,103,68,107,36,79,71,64,42,81,93,9,51,90,15,6,109,78,108,37,29,12,1,14,58,110,95,61,48,70,41,50,85,94,53,20,84,111,72,56,54,77,8,38,16,17,62,102,75,5,88,26,98,92,49,10,3,23,47,104,34,65,44,97,43,91
1: 25,59,35,69,89,63,67,28,22,11,100,57,60,7,45,55,106,27,86,101,18,66,96,87,82,73,40,99,76,80,4,112,30,2,71,19,13,21,90,33,31,105,46,24,81,83,39,36,103,68,107,64,6,32,12,15,51,52,93,74,42,50,78,79,108,29,61,58,9,1,95,48,98,14,109,37,70,85,53,94,110,20,41,84,72,56,111,54,38,102,77,17,75,16,62,8,3,49,10,26,5,92,23,47,88,104,43,34,65,44,97,91
1: 25,63,28,69,59,67,35,89,22,11,100,7,106,60,57,27,55,45,86,112,4,101,82,40,18,99,96,73,2,76,46,24,87,30,33,39,19,80,71,66,83,105,81,42,107,15,90,78,21,31,6,13,36,50,14,52,108,12,32,29,103,9,64,68,74,93,61,58,51,94,1,95,109,79,85,98,49,48,54,110,53,37,70,38,102,41,84,20,56,62,72,77,3,17,26,16,47,75,111,88,5,92,8,23,10,104,97,34,44,43,91,65
1: 25,28,69,35,67,63,59,22,100,7,60,106,11,27,89,45,55,82,40,101,57,112,86,18,29,46,105,81,4,30,31,96,33,24,73,83,71,99,80,2,87,14,76,13,61,36,90,19,12,15,51,78,42,66,108,39,32,58,93,6,52,103,64,95,68,9,107,50,37,1,74,110,21,85,94,109,49,48,79,70,38,3,98,84,56,72,62,41,54,53,102,47,88,17,77,26,10,16,5,75,111,20,34,23,92,8,104,97,43,44,91,65
1: 69,63,25,28,35,59,67,60,100,11,106,22,89,45,55,82,40,27,112,57,101,86,58,7,4,29,46,73,30,105,61,33,99,80,18,81,83,2,24,13,12,31,76,14,52,96,87,36,15,6,66,108,78,42,51,90,19,39,71,95,93,64,62,9,48,1,94,68,21,37,32,79,107,50,103,74,110,85,109,70,49,38,84,56,72,41,102,53,54,3,47,20,77,88,17,98,10,16,75,26,5,111,92,23,104,8,91,34,97,43,44,65
1: 28,69,25,59,35,67,60,40,11,22,63,45,55,82,7,106,27,101,112,78,100,29,89,6,73,105,30,4,80,24,31,46,33,86,18,66,81,2,83,52,58,36,95,76,61,14,12,15,51,87,99,13,90,9,42,19,50,94,108,64,62,96,48,68,57,110,93,1,32,37,39,103,70,21,71,84,49,74,79,34,109,38,107,72,3,85,56,41,47,20,102,53,88,5,16,10,17,104,98,75,91,54,77,26,92,111,97,8,23,44,43,65
1: 69,25,28,35,67,60,63,40,59,22,82,45,11,55,83,106,112,7,27,105,73,101,6,89,78,100,58,29,4,30,66,51,80,46,31,18,86,81,99,33,2,24,76,36,14,52,87,12,61,50,9,13,57,19,42,95,90,64,96,108,94,110,93,62,48,68,1,37,32,39,103,21,79,74,15,71,70,49,38,109,107,72,75,84,85,56,47,102,41,16,3,88,34,20,53,10,5,104,17,77,54,26,91,98,92,23,111,8,97,43,44,65
1: 28,69,25,35,67,60,63,59,100,22,82,45,55,106,11,40,6,112,101,27,73,18,105,83,66,4,30,58,7,51,78,89,46,80,29,52,76,86,2,33,24,31,95,12,36,99,61,87,14,90,19,9,21,50,42,94,13,107,110,81,15,96,103,39,48,71,93,57,68,62,1,108,37,64,74,32,70,38,49,79,84,85,75,109,34,20,47,56,3,102,41,72,10,53,16,104,88,54,5,17,77,91,26,98,92,111,23,97,8,44,43,65
1: 28,25,69,67,35,60,63,22,40,82,112,55,45,106,11,83,59,105,101,6,73,100,27,78,51,4,18,29,30,58,76,7,89,46,52,80,2,99,31,24,14,95,90,33,36,86,61,87,12,32,66,19,81,94,50,42,39,110,62,96,93,13,71,107,103,68,1,48,108,57,64,74,9,37,70,84,15,49,38,85,79,21,75,109,34,47,3,41,5,56,20,53,26,16,104,98,72,102,88,10,91,17,54,77,92,111,23,97,8,44,43,65
1: 25,28,69,35,60,67,63,82,112,55,22,40,106,27,11,83,59,105,101,6,73,100,7,36,58,45,89,51,4,78,30,29,18,76,52,31,24,80,2,99,14,95,33,46,86,90,61,87,12,39,32,66,19,81,94,50,42,110,1,62,96,93,13,71,107,103,68,48,108,57,64,74,9,37,70,84,15,49,38,85,79,21,75,109,34,72,47,3,41,5,56,20,53,26,16,104,98,102,88,10,91,17,54,77,92,111,23,97,8,44,43,65
1: 28,25,69,35,60,67,63,82,112,55,100,22,40,27,106,11,83,59,105,73,101,6,7,36,58,45,89,51,4,78,30,29,18,76,52,31,24,80,2,99,95,33,46,86,14,90,61,87,12,39,32,66,19,81,94,110,50,42,93,1,62,96,13,71,107,103,68,48,108,57,64,74,9,37,15,70,84,49,38,85,79,21,75,109,34,72,47,3,41,5,56,20,53,26,16,104,98,102,88,10,91,17,54,77,92,111,23,97,8,44,43,65
1: 28,69,60,25,22,15,35,67,11,108,55,112,73,59,82,40,105,63,29,106,45,13,36,7,83,24,101,27,4,100,86,110,76,89,61,80,58,51,33,47,78,2,6,64,18,31,95,19,46,30,42,21,52,12,85,49,71,50,14,94,74,87,99,9,66,39,57,1,88,68,77,75,70,48,5,90,102,97,96,93,62,38,56,32,37,16,103,109,107,91,10,81,3,53,20,54,34,17,84,104,44,72,79,23,41,98,65,26,111,43,8,92
1: 69,28,25,60,67,82,40,55,73,112,35,63,105,22,59,29,11,106,100,15,108,36,7,83,27,101,80,13,51,78,31,24,4,45,89,58,6,76,18,64,110,47,86,2,85,12,33,95,61,19,42,30,52,66,49,1,94,46,50,74,99,71,21,93,14,87,9,5,90,68,75,88,48,38,102,77,57,62,39,109,70,103,32,91,10,96,16,56,97,81,37,107,84,53,54,72,34,20,3,17,44,104,98,23,111,79,41,26,65,43,8,92
1: 28,69,25,67,55,82,112,60,73,35,63,106,59,22,45,100,40,15,4,36,105,58,31,83,76,66,110,11,24,27,33,78,7,80,18,29,61,89,86,6,85,108,2,101,30,19,13,51,46,12,95,42,94,52,49,14,64,47,21,99,90,87,74,9,71,50,103,88,62,57,39,93,48,96,81,68,70,1,38,37,5,104,107,56,84,32,77,54,79,91,3,102,97,10,34,75,72,20,109,23,17,98,111,16,41,65,53,44,26,8,43,92
1: 28,67,25,69,63,55,112,40,82,60,22,100,59,35,7,45,106,11,105,58,78,73,4,83,29,27,66,18,6,76,80,31,24,51,110,30,15,95,36,89,33,101,14,71,2,12,61,85,46,99,90,86,108,94,52,9,19,81,13,96,109,8,104,42,21,62,49,47,57,74,93,87,39,64,107,88,5,50,54,1,68,103,32,75,98,48,70,91,56,37,10,34,38,77,84,111,102,72,3,97,20,79,17,23,92,16,41,53,65,26,43,44
1: 28,69,25,67,112,55,63,40,82,35,60,100,59,7,106,22,73,45,4,58,105,11,27,76,36,83,24,18,78,33,101,31,80,30,110,14,29,61,71,15,6,89,2,66,99,51,12,90,95,94,108,46,9,86,52,13,19,85,42,93,47,62,50,81,57,74,39,103,107,87,49,21,96,64,1,68,32,48,70,38,5,75,88,56,104,84,37,77,109,34,10,79,3,91,102,72,98,97,20,23,16,54,111,53,17,26,43,92,44,41,65,8
1: 28,55,25,67,112,69,35,40,63,59,60,82,100,22,45,36,7,4,58,78,27,83,80,76,33,31,24,105,2,95,106,18,11,90,99,30,12,73,101,51,6,29,19,71,110,61,46,108,42,94,52,15,14,86,89,9,47,66,81,85,103,49,39,13,93,57,1,87,74,50,62,96,107,5,32,38,104,56,21,37,79,34,68,64,48,75,70,84,3,77,109,72,20,88,97,10,16,102,17,23,91,98,41,111,54,8,26,53,44,92,43,65
1: 28,69,25,63,67,55,82,35,40,112,60,100,59,7,45,73,22,58,105,101,30,106,83,36,27,4,31,78,76,110,24,11,18,61,6,71,29,89,2,80,33,14,15,66,94,51,95,99,46,50,12,86,108,90,81,85,93,52,13,42,9,107,57,19,62,47,87,39,103,74,96,21,64,68,1,32,49,75,37,48,38,70,5,88,104,84,56,34,77,79,109,102,3,10,72,20,91,17,54,97,16,98,23,26,53,41,111,65,44,8,92,43
1: 63,28,69,67,22,60,89,59,18,25,35,45,99,30,57,96,87,11,7,86,100,82,4,33,52,51,106,27,55,66,101,103,46,31,76,73,83,36,80,13,40,64,107,93,81,112,71,74,79,17,19,68,105,90,78,50,41,24,6,37,109,48,61,32,110,84,53,2,12,58,14,29,9,75,16,56,15,70,1,39,95,8,21,20,94,26,108,62,85,54,49,111,38,42,77,3,88,92,102,10,47,5,104,98,43,23,72,34,97,91,44,65
1: 63,28,69,60,67,22,89,59,30,18,35,25,99,45,57,96,7,87,11,86,82,100,4,52,33,27,66,31,101,106,55,103,46,76,80,73,36,83,13,51,40,64,93,107,81,74,71,17,112,79,90,68,50,105,19,78,24,41,6,37,61,48,109,84,110,53,12,2,58,56,32,29,14,70,9,16,75,1,15,8,21,95,39,20,94,26,62,108,54,85,49,38,111,42,77,88,3,92,102,10,98,47,5,104,43,23,72,34,91,97,44,65
1: 63,67,28,69,60,89,22,59,18,35,99,87,25,86,96,7,57,45,11,82,30,52,100,4,33,73,46,31,106,27,103,76,101,2,80,40,112,83,36,55,66,13,93,68,71,78,74,50,17,81,61,90,12,51,24,19,105,6,37,29,109,21,79,39,64,1,58,56,110,107,53,41,32,14,95,15,70,84,108,9,111,62,94,75,26,16,48,20,72,54,47,85,38,49,42,88,8,5,77,102,92,23,104,10,98,43,3,34,65,97,91,44
1: 63,69,89,28,67,60,22,59,35,87,18,99,86,100,7,96,25,11,45,46,27,82,33,4,73,101,106,57,83,71,13,52,76,19,30,74,112,2,40,55,103,80,31,78,68,66,36,90,110,24,6,29,21,14,58,93,15,107,64,17,32,12,51,94,109,39,42,61,50,108,70,1,81,84,95,105,79,49,54,53,85,72,77,9,41,75,56,48,26,111,62,37,47,20,16,5,88,3,104,23,8,38,92,43,102,10,98,34,44,65,91,97
1: 63,67,60,25,59,22,69,28,7,45,35,89,100,99,27,86,82,11,73,87,76,112,55,40,13,83,106,57,101,71,19,46,33,68,52,4,2,78,66,18,103,74,31,96,30,29,14,80,58,36,107,15,21,105,109,110,6,9,12,51,93,64,42,39,61,37,81,32,90,95,108,24,49,1,17,54,70,48,84,85,41,50,77,47,94,72,111,53,3,56,79,26,75,5,88,38,62,102,43,20,16,65,34,98,23,10,8,104,92,91,44,97
1: 63,28,22,69,25,60,100,59,35,67,27,86,40,7,11,89,71,82,99,45,57,112,76,80,106,55,13,101,33,83,19,2,73,51,46,30,87,12,15,81,14,78,58,93,31,18,4,29,95,105,107,39,90,110,52,50,24,96,36,108,85,6,68,74,37,32,1,103,61,21,49,48,66,64,9,42,94,77,109,47,102,41,111,17,84,54,70,3,72,38,98,79,53,56,5,62,43,75,26,20,16,88,65,104,97,23,91,10,8,92,34,44
1: 63,28,69,25,100,35,22,60,67,59,27,82,7,86,112,89,40,71,99,55,11,57,33,106,45,78,4,46,15,13,58,76,105,24,108,14,73,19,29,18,50,101,30,80,96,12,83,51,2,90,110,39,107,31,81,87,68,61,32,95,36,42,52,6,85,21,103,93,74,49,1,94,9,37,56,109,66,38,48,77,64,47,102,70,79,84,54,41,3,72,88,17,111,98,53,62,5,97,20,34,10,26,75,16,104,23,43,65,92,91,44,8
1: 63,28,69,100,60,25,67,35,59,22,40,27,112,7,106,82,55,33,71,86,89,29,57,11,4,99,24,108,45,15,12,76,61,73,58,30,78,46,105,13,14,50,31,51,83,101,2,95,80,18,68,90,110,36,81,85,96,19,94,6,49,66,39,32,42,52,56,1,77,21,93,74,107,87,9,47,54,109,3,37,64,62,70,48,103,38,102,23,84,5,79,41,98,10,53,88,72,17,97,111,26,75,20,104,16,34,8,91,92,65,43,44
1: 28,100,63,67,69,22,7,25,35,59,60,27,112,55,82,40,106,71,29,86,24,33,45,15,108,46,99,31,105,89,11,61,73,58,14,30,57,78,13,80,51,81,18,36,110,50,12,101,76,94,4,83,96,85,66,2,90,95,49,68,42,19,47,1,52,9,6,93,54,32,56,39,87,74,21,77,70,107,37,3,64,102,38,109,48,103,72,98,84,62,23,88,5,10,79,17,41,97,111,34,53,26,75,91,104,16,20,8,92,44,65,43
1: 28,63,67,69,100,59,25,35,112,82,60,22,55,40,7,27,29,45,106,105,58,86,89,15,73,108,61,11,71,30,80,81,46,31,57,99,24,33,4,12,78,83,13,94,101,51,14,36,76,18,85,110,52,2,6,96,50,95,66,42,49,19,47,90,87,68,9,93,32,64,1,39,62,74,21,48,77,70,56,38,107,79,88,109,37,102,54,103,72,3,84,10,5,17,75,98,41,91,53,97,23,104,111,20,34,16,26,44,92,8,65,43
1: 28,63,69,67,25,59,100,60,35,82,22,112,55,40,7,45,105,27,15,11,46,29,89,73,99,80,108,58,101,106,30,57,81,24,33,4,78,61,86,31,71,12,51,83,6,110,36,18,76,50,13,94,66,14,42,2,85,95,90,49,52,9,87,96,21,47,19,64,68,107,62,93,74,39,32,79,103,1,48,77,56,38,88,70,104,37,102,109,72,3,84,54,5,10,97,17,75,91,16,23,41,34,53,20,111,98,26,65,92,8,44,43
1: 28,69,67,25,59,60,63,40,35,82,22,55,100,7,112,45,11,15,105,73,78,30,101,106,27,29,80,86,58,89,31,108,46,6,24,76,99,61,4,33,13,71,110,51,83,94,95,18,81,12,36,14,57,66,50,2,9,19,90,87,42,52,47,62,21,64,85,49,68,96,93,103,32,107,39,74,1,70,48,37,88,109,5,79,77,38,84,56,3,102,34,72,97,104,75,20,17,54,16,10,91,41,23,53,111,98,26,65,44,8,92,43
1: 69,28,25,67,60,63,40,82,59,7,55,35,100,112,22,45,73,105,78,11,106,29,30,58,80,31,86,27,101,61,15,83,4,6,51,46,89,76,110,71,24,13,108,36,99,66,94,12,14,81,18,95,33,57,50,9,2,52,19,42,90,87,64,47,93,21,62,85,68,103,74,49,1,96,107,75,39,32,48,70,88,37,109,38,5,77,79,84,102,34,56,72,3,20,104,97,10,16,54,17,23,91,98,41,111,53,26,44,65,8,92,43
1: 69,28,25,67,63,60,55,82,100,35,40,22,112,59,45,7,73,106,78,30,58,105,4,101,27,11,86,110,46,61,6,15,18,66,80,51,31,71,29,83,76,24,89,36,14,2,33,95,12,13,99,94,9,108,52,57,50,81,21,87,90,19,85,93,47,42,103,74,107,96,62,64,68,49,48,39,75,1,70,37,38,32,88,109,5,77,34,84,56,79,102,104,54,3,20,17,10,97,72,16,91,23,41,53,98,111,26,65,44,92,8,43
1: 25,28,67,69,63,55,60,82,22,112,35,40,100,45,59,7,73,106,105,30,101,58,78,18,11,4,76,27,29,110,6,71,61,83,31,24,46,14,86,51,2,89,15,80,36,66,33,94,95,99,90,81,12,108,52,85,50,13,9,93,87,57,107,42,47,62,19,21,39,103,74,96,64,68,32,49,1,37,75,48,38,70,5,88,104,84,56,34,77,109,3,79,102,17,20,10,91,54,72,98,97,16,23,53,26,41,111,8,65,92,44,43
1: 25,28,69,67,63,55,60,82,35,112,40,100,22,59,7,45,73,106,30,27,105,58,101,11,31,4,76,18,78,36,71,110,6,29,61,83,24,14,89,51,2,15,80,46,33,86,94,66,95,99,12,90,52,81,108,85,50,13,93,9,39,47,42,107,57,19,62,87,103,21,74,96,64,1,68,32,49,37,75,48,70,38,5,88,104,84,56,34,77,109,3,79,17,102,10,20,91,72,54,16,98,97,23,53,41,26,111,65,92,44,8,43
1: 28,25,69,67,63,55,60,82,35,112,40,100,22,59,7,73,45,27,30,58,105,106,101,4,31,11,110,76,18,78,36,71,6,83,29,61,24,2,89,51,80,14,46,33,86,15,66,94,95,99,12,90,108,81,52,93,85,50,13,9,42,39,47,107,19,57,62,87,74,103,21,96,68,1,64,32,49,37,75,48,38,70,5,104,88,84,56,34,77,109,3,79,102,72,10,20,91,17,54,16,97,98,23,53,26,41,111,65,8,44,92,43
1: 63,11,25,59,22,69,67,7,86,60,55,27,99,28,45,35,100,87,40,13,112,89,83,73,82,18,76,101,4,66,106,30,46,80,50,37,57,33,96,2,36,32,74,103,41,90,79,78,52,105,51,68,19,53,24,81,31,93,110,107,84,64,71,29,6,38,58,48,109,61,39,9,16,1,3,56,70,42,20,75,14,49,15,72,12,62,17,92,8,26,94,104,54,21,102,77,95,85,111,34,47,5,88,108,98,91,44,43,23,65,10,97
1: 28,25,67,63,69,100,82,40,55,35,112,73,60,7,22,59,58,45,105,101,15,110,71,30,83,61,106,78,95,36,31,108,24,18,47,14,27,51,4,29,6,50,81,94,76,2,89,66,33,86,46,57,11,80,9,107,12,52,13,90,93,42,99,103,39,68,85,74,62,64,87,21,75,96,32,19,77,37,104,5,88,34,49,70,1,10,3,79,56,109,48,91,84,17,23,38,97,98,20,54,102,111,16,72,8,26,53,41,44,65,43,92
1: 63,25,59,60,67,101,45,89,99,22,52,4,69,7,83,36,57,18,33,55,100,53,28,19,90,87,80,81,27,79,112,103,51,109,39,30,9,37,6,107,41,20,46,12,32,96,105,48,35,66,84,74,58,11,49,16,24,82,68,1,86,73,94,50,26,42,13,92,31,78,3,40,2,38,56,34,70,64,14,29,76,106,104,62,71,61,23,102,72,15,95,77,21,93,44,17,111,8,85,75,98,88,108,110,47,91,10,97,65,5,43,54
1: 52,30,63,59,60,25,45,89,101,67,99,69,57,7,100,18,83,4,36,33,87,55,28,90,22,81,80,19,103,107,66,9,37,79,39,6,112,46,27,35,20,12,53,82,96,86,41,73,13,24,74,16,84,68,94,58,31,109,105,50,1,49,78,26,92,40,11,38,48,56,64,2,42,3,34,14,106,76,70,29,71,61,23,15,62,21,104,95,77,93,72,102,17,111,44,98,85,8,75,108,88,110,32,47,10,97,91,65,43,5,51,54
1: 12,63,2,99,67,58,1,40,78,87,46,86,52,45,39,73,60,112,47,72,111,95,50,68,61,28,29,108,90,7,71,80,100,21,69,37,18,24,56,59,30,33,38,35,42,4,89,5,27,36,57,6,104,62,19,74,26,49,81,53,83,103,22,25,109,31,9,82,76,105,14,96,102,34,15,94,88,11,106,17,93,3,44,92,55,101,20,32,77,84,66,16,23,79,41,107,13,85,48,8,75,70,110,97,64,51,98,10,43,65,54,91
1: 63,78,67,58,46,2,89,90,68,100,7,29,99,80,40,27,87,42,6,108,60,69,1,33,59,95,82,28,83,22,18,71,96,19,35,45,72,49,94,21,74,112,86,15,12,14,52,73,77,32,25,84,101,76,47,106,39,111,11,3,13,70,50,107,110,61,66,4,56,64,36,30,103,24,104,5,31,38,51,9,26,57,23,81,62,109,105,48,88,53,34,37,55,20,102,75,16,85,93,92,43,44,79,17,54,8,98,41,65,10,97,91
1: 63,60,100,67,22,7,59,27,68,99,83,40,35,45,82,71,112,25,29,69,95,28,15,78,58,86,76,14,19,52,89,46,49,11,2,73,13,47,105,12,39,87,80,32,107,36,74,81,111,33,1,6,90,109,66,42,108,9,101,18,37,103,61,55,106,21,72,51,84,48,77,110,96,94,3,31,50,57,24,4,93,70,64,41,30,43,17,56,34,62,26,54,23,53,5,20,38,65,104,88,75,98,16,79,44,102,8,85,92,10,97,91
1: 63,100,60,22,71,27,40,35,28,25,69,95,83,86,15,112,19,14,82,59,67,80,7,58,2,11,29,78,81,99,39,33,90,105,12,13,68,1,51,46,89,101,76,45,77,6,106,107,37,108,48,57,50,52,110,49,61,24,18,73,47,55,93,36,111,32,30,31,109,96,9,74,21,87,103,3,4,42,84,72,94,66,38,98,102,41,85,64,56,70,53,5,79,62,65,20,16,17,34,23,26,104,54,75,43,97,44,88,8,92,10,91
1: 63,100,60,25,35,71,112,82,15,22,69,27,86,40,28,7,58,78,99,90,33,105,11,89,29,14,67,59,108,83,46,68,106,45,39,51,50,57,19,95,24,55,96,80,110,107,81,61,2,12,4,6,13,42,1,32,73,77,101,52,18,76,30,37,49,48,103,38,21,56,47,31,84,94,36,74,9,109,72,79,66,102,87,93,111,34,70,3,85,20,98,62,88,26,104,16,64,97,41,5,53,54,23,17,10,65,43,75,92,44,8,91
1: 63,100,60,35,112,28,69,25,71,40,27,22,67,29,7,33,15,59,82,106,68,108,14,86,24,50,95,51,61,78,105,57,55,90,46,58,89,83,12,99,11,4,81,45,77,6,110,2,76,56,96,19,73,31,101,80,13,30,39,47,49,36,66,94,18,32,42,1,107,3,52,37,85,21,62,109,38,48,84,54,23,93,103,74,9,102,87,72,5,64,10,79,34,70,111,88,20,98,104,26,53,16,8,97,41,17,75,91,44,92,43,65
1: 100,63,35,28,71,7,22,67,60,25,69,112,27,29,15,59,82,14,106,55,40,86,24,105,50,108,51,46,61,78,33,81,58,45,96,90,110,68,99,95,57,31,89,80,11,73,101,47,66,13,83,36,18,49,30,4,94,12,6,76,77,56,1,2,19,39,3,85,9,37,42,52,72,54,102,32,48,109,84,70,74,107,93,38,21,34,87,23,88,103,98,62,79,64,10,111,5,104,17,53,16,91,97,20,26,41,75,8,92,44,65,43
1: 63,100,28,67,35,112,69,25,22,59,15,60,82,29,105,55,71,40,7,108,61,81,27,45,58,86,51,14,106,78,89,57,46,24,73,31,80,83,33,50,95,47,4,94,30,6,96,110,101,99,12,11,68,90,13,36,66,52,49,76,77,19,42,39,2,18,1,85,32,56,9,62,87,88,74,79,3,21,72,93,48,64,70,109,37,102,107,38,84,54,103,17,104,91,23,10,34,20,53,75,5,16,111,98,97,41,8,44,26,92,43,65
1: 100,28,63,69,25,112,67,59,35,60,15,22,82,40,55,105,108,29,7,46,45,51,78,57,81,73,89,71,61,80,27,50,24,4,6,101,58,86,95,33,99,14,110,106,31,11,47,83,30,66,94,76,12,90,68,42,18,96,39,36,13,49,9,52,2,87,77,19,79,62,21,74,107,85,1,32,64,88,56,104,103,93,48,3,72,109,37,70,34,17,102,38,5,75,10,16,84,91,54,97,23,20,53,111,98,41,65,26,8,44,92,43
1: 28,25,69,67,60,59,15,35,100,82,40,22,63,112,55,78,45,108,7,105,73,6,101,71,51,29,46,95,11,86,106,30,61,27,14,110,31,89,47,50,58,80,24,57,81,4,76,33,99,94,83,68,13,66,9,90,18,87,12,19,36,62,42,21,2,39,49,52,64,96,103,77,1,74,32,107,79,3,34,88,37,109,56,70,85,104,84,5,20,93,75,48,17,97,72,38,102,16,10,91,23,54,53,98,111,41,26,65,44,8,92,43
1: 69,28,25,67,60,82,100,63,40,112,59,35,15,22,7,55,45,105,73,78,51,71,108,29,61,30,106,86,110,31,58,46,95,6,101,89,4,83,14,57,47,81,50,76,11,80,94,27,9,13,66,24,33,99,36,18,68,12,2,42,90,87,64,103,21,52,62,19,74,39,75,88,49,107,96,93,77,1,109,32,85,5,34,79,37,3,70,56,72,84,20,104,48,17,38,23,102,97,10,16,98,54,91,111,53,41,8,26,44,65,43,92
1: 69,25,28,67,82,100,60,63,112,35,22,55,15,45,40,59,78,71,73,7,105,110,30,58,61,46,106,51,14,86,101,6,4,95,108,47,29,66,31,89,9,83,27,57,24,76,81,80,18,50,94,36,11,13,2,33,103,12,21,99,87,52,74,42,90,68,107,64,96,19,75,62,85,93,39,77,49,34,88,70,17,32,37,104,1,48,5,56,109,3,79,84,54,97,20,72,102,10,38,23,91,16,98,111,53,8,41,44,43,26,65,92
1: 25,67,28,63,69,100,82,112,35,22,55,60,40,45,73,15,71,105,59,7,78,14,30,110,106,101,61,58,29,95,51,6,108,46,18,47,83,4,24,86,76,27,81,31,89,94,2,11,66,50,33,36,80,57,9,90,107,52,13,12,87,42,103,99,68,85,74,39,62,21,93,96,64,75,32,77,19,37,5,104,88,34,49,1,70,3,17,10,56,109,48,84,79,91,23,20,38,98,97,54,72,102,16,111,53,8,26,41,44,65,92,43
1: 25,67,28,63,69,100,82,112,35,40,55,60,22,73,7,15,71,30,105,45,59,106,58,14,110,101,61,27,78,18,29,95,51,31,6,108,47,83,4,76,36,81,24,94,46,89,2,86,66,11,50,33,80,57,9,39,107,52,90,13,12,42,103,99,74,85,68,62,93,21,87,64,96,75,32,77,19,37,5,104,88,34,49,1,70,3,17,10,109,56,48,84,79,91,23,20,98,38,97,54,102,16,111,72,53,8,26,41,44,65,43,92
1: 67,25,28,69,63,82,100,112,35,40,55,60,22,73,110,71,7,30,45,105,59,58,15,106,101,61,14,27,18,78,95,29,51,6,108,31,47,83,4,76,36,81,24,46,94,89,86,2,11,50,66,33,80,57,9,39,107,52,13,93,12,90,42,103,74,68,99,85,62,21,87,64,75,96,32,77,19,37,104,5,88,34,49,70,1,3,10,109,56,48,79,84,91,17,23,38,20,97,98,54,102,16,111,72,53,8,26,41,44,65,43,92
1: 22,63,69,59,67,28,35,89,60,7,30,96,52,18,87,25,99,100,33,57,76,11,4,82,27,31,106,103,90,36,55,101,80,40,24,78,66,50,51,2,1,56,6,64,58,70,29,68,46,16,38,21,86,61,42,41,48,12,45,84,32,93,109,73,53,79,88,105,74,17,13,15,102,112,107,110,37,81,85,9,54,62,95,26,10,91,8,14,5,71,94,75,43,20,83,19,49,34,108,111,104,72,3,77,92,39,98,47,97,65,23,44
1: 63,67,22,60,69,59,28,35,89,87,7,99,96,52,30,18,25,100,33,57,76,11,4,82,78,27,31,106,103,40,36,90,80,2,50,24,29,1,46,68,51,101,56,6,64,58,21,55,12,61,86,38,66,45,42,70,32,93,16,73,53,109,84,88,105,41,74,17,112,79,15,102,13,48,37,9,81,62,85,95,107,110,71,14,5,26,54,94,10,72,108,75,111,43,49,83,19,20,34,104,39,8,91,47,92,77,23,65,3,98,97,44
1: 59,63,67,69,35,7,25,99,22,100,60,28,40,76,27,89,52,11,82,87,29,18,68,106,86,2,96,78,101,103,55,45,33,51,57,80,30,31,73,32,90,66,64,24,58,36,1,42,21,46,50,12,112,4,15,6,84,70,105,48,109,13,93,41,74,38,61,56,9,107,71,17,110,88,95,16,53,14,54,94,102,83,85,62,37,81,19,108,49,111,5,79,72,75,26,43,39,10,20,47,77,104,34,8,3,92,65,91,23,98,97,44
1: 63,69,35,25,100,28,22,60,27,59,67,40,7,11,99,89,101,82,80,86,106,29,76,2,57,51,90,78,96,33,55,24,50,30,52,68,12,112,6,18,31,13,45,1,46,58,15,87,103,71,93,105,73,48,42,21,32,38,4,36,14,107,95,64,84,110,70,74,109,66,61,41,83,19,17,9,56,81,108,85,102,16,53,37,39,94,49,62,88,111,10,5,72,77,79,75,54,26,47,20,104,34,8,91,65,3,43,92,98,97,23,44
1: 63,35,25,60,100,69,22,28,27,59,40,99,67,11,78,7,89,82,86,29,24,106,51,90,55,57,112,33,46,58,96,71,50,68,105,2,45,101,80,76,42,30,32,38,12,52,61,73,14,103,4,15,110,18,31,21,1,87,13,107,95,6,93,108,70,84,36,48,64,74,102,109,19,9,56,39,66,41,79,83,94,81,85,17,111,16,37,88,62,10,49,72,53,77,5,47,34,54,26,75,20,104,3,91,8,92,23,98,65,97,44,43
1: 63,25,100,60,69,28,40,35,27,59,22,29,67,7,112,106,71,24,57,14,33,51,99,55,50,68,78,46,11,86,82,30,105,95,101,2,108,61,94,12,89,90,73,13,15,76,6,58,110,45,31,4,81,80,42,96,32,52,19,93,38,56,21,1,49,77,107,66,103,18,62,36,39,48,85,87,83,9,70,102,47,64,5,109,74,111,10,84,41,37,79,72,54,3,17,23,34,88,53,16,26,8,20,75,91,92,104,97,65,98,44,43
1: 100,63,35,67,69,28,25,60,22,7,59,27,29,71,112,40,82,24,106,50,14,55,86,78,51,99,46,105,30,45,61,33,90,81,31,108,68,96,11,95,101,15,89,57,13,80,110,73,58,94,36,2,76,18,12,66,49,4,54,42,85,1,83,32,9,47,52,70,72,56,19,38,6,93,21,77,102,107,103,87,39,10,74,5,109,37,64,3,34,84,62,88,48,79,17,23,41,16,91,53,111,104,26,98,8,75,92,97,20,44,43,65
1: 28,67,25,69,63,100,35,59,60,82,40,22,112,7,29,55,105,89,45,81,78,27,46,15,108,80,50,99,24,101,61,71,57,30,51,73,58,86,106,33,11,31,6,4,95,14,110,76,94,42,66,96,90,13,18,12,52,9,2,83,36,47,21,87,85,93,32,74,49,64,68,107,62,103,39,1,54,79,17,77,19,10,56,38,5,70,102,104,72,88,48,37,109,3,75,16,91,23,34,41,111,97,84,20,53,98,8,92,65,26,43,44
1: 67,69,25,28,40,60,63,82,100,7,35,59,78,55,22,45,112,29,105,30,73,51,58,86,71,46,101,31,61,106,89,95,11,27,76,80,14,81,4,15,50,108,13,94,110,6,57,24,9,83,99,18,66,33,36,47,90,42,2,12,103,93,64,52,21,87,68,74,62,19,96,32,39,85,75,1,5,70,49,88,17,37,107,109,79,10,38,102,56,54,3,34,104,77,48,20,84,16,72,91,23,41,98,97,8,111,53,92,43,26,65,44
1: 67,69,25,28,100,63,82,60,40,35,55,22,78,45,59,112,7,30,58,71,73,101,86,106,46,105,110,29,61,15,14,51,6,4,95,18,27,24,11,31,89,9,80,66,108,76,94,13,50,81,2,47,99,83,36,57,103,21,12,52,33,93,42,87,90,74,85,64,68,107,96,75,70,19,17,39,32,1,62,5,10,49,54,34,37,88,38,102,56,104,79,48,3,109,77,20,84,23,16,91,41,72,97,8,98,53,111,92,43,26,44,65
1: 67,25,69,63,28,100,40,82,22,55,35,60,112,45,7,59,78,30,73,71,105,101,14,106,58,110,29,61,18,46,76,27,95,24,86,51,11,31,4,89,6,15,81,94,108,2,83,80,50,90,47,33,36,66,99,57,9,93,13,85,52,42,103,12,87,107,74,64,21,39,68,62,32,96,5,70,10,37,75,19,1,17,88,34,49,104,38,54,56,3,79,109,102,77,48,20,84,91,16,98,23,72,41,97,8,53,111,26,92,43,65,44
1: 67,25,69,63,28,100,40,82,35,55,60,112,22,7,30,59,45,58,78,73,27,71,101,105,106,29,14,18,110,61,31,76,95,51,24,11,15,4,6,46,81,86,36,108,94,83,2,89,80,50,33,47,66,9,99,57,52,90,93,13,85,42,39,103,12,107,87,74,21,68,64,62,32,96,5,70,37,10,75,19,17,1,34,88,104,49,38,54,56,3,102,79,109,48,77,20,84,91,16,23,72,98,41,97,8,111,53,26,92,43,44,65
1: 67,25,69,28,63,40,100,82,35,55,60,112,22,7,30,73,59,45,78,58,71,27,110,105,101,18,29,61,106,31,76,14,95,51,24,6,46,4,11,86,81,36,108,94,83,2,15,89,50,80,33,47,93,66,9,99,52,57,90,13,85,42,39,103,12,107,87,74,21,68,62,64,32,96,5,37,70,10,75,19,1,34,88,17,104,49,38,3,54,56,79,102,109,48,77,20,84,91,16,23,72,98,41,8,97,26,111,53,92,43,44,65
1: 25,28,69,82,35,112,63,67,55,73,40,100,7,45,60,22,101,105,30,58,106,29,59,36,78,14,6,110,83,71,27,24,31,95,4,15,51,86,11,46,76,61,18,107,81,89,50,57,39,66,2,87,13,80,47,108,33,12,52,99,96,94,93,9,42,62,21,85,90,64,75,54,37,68,103,19,17,49,79,74,5,10,1,72,102,104,88,98,34,70,32,3,77,48,97,65,91,23,111,84,109,43,38,20,56,26,16,41,8,53,92,44
1: 63,67,59,35,22,69,89,25,18,28,60,11,100,7,99,57,45,96,82,86,87,46,33,27,4,101,30,80,51,52,106,112,110,31,40,83,76,2,19,103,73,66,78,71,68,55,13,24,74,81,93,6,64,29,79,36,17,58,72,107,90,84,50,32,105,14,70,21,61,1,12,39,41,9,109,108,42,37,16,48,94,95,53,75,15,49,56,38,26,47,111,3,62,54,5,20,85,8,98,88,92,34,23,104,43,102,77,10,91,65,44,97
1: 63,67,59,35,22,69,25,28,60,11,100,7,99,89,45,86,112,27,82,76,83,33,87,40,18,57,96,51,2,73,46,101,4,80,110,52,106,31,55,13,30,19,103,66,71,68,29,78,81,93,36,24,17,107,105,74,14,58,6,64,72,39,9,109,32,95,79,90,84,1,37,50,15,12,70,61,108,21,42,41,49,47,48,94,111,54,53,3,16,75,56,38,26,62,5,98,85,20,8,88,92,34,23,104,43,65,102,77,10,91,97,44
1: 63,35,22,69,28,25,100,60,11,67,59,27,89,86,7,112,82,83,99,40,57,33,45,76,51,2,101,80,96,106,87,71,19,46,18,4,29,73,13,55,110,31,81,52,30,78,39,107,105,103,14,66,93,24,58,6,95,50,90,36,37,68,15,17,74,48,1,32,12,108,64,84,72,9,109,38,79,98,85,70,61,21,42,41,49,47,94,111,3,54,53,75,62,5,16,102,77,43,65,97,91,56,26,10,20,23,92,104,8,44,34,88
1: 63,35,22,69,28,25,100,60,11,67,59,27,89,86,7,112,82,99,33,40,57,45,83,51,71,96,46,4,29,76,55,2,101,78,80,106,105,87,19,18,110,24,73,13,31,39,81,30,52,58,50,90,107,15,103,14,66,93,32,6,36,95,68,37,74,38,79,12,108,48,1,42,64,84,17,72,9,109,98,85,70,61,21,41,49,47,94,3,102,77,54,53,75,62,5,16,56,10,34,88,111,43,65,97,91,26,20,23,92,104,44,8
1: 63,35,22,69,28,25,100,60,67,59,27,112,7,33,40,11,57,51,29,71,106,55,82,86,46,4,89,45,99,83,76,101,105,96,2,24,73,13,31,78,30,81,110,80,50,14,95,66,87,19,6,18,15,12,61,68,108,39,58,90,52,49,36,93,47,94,3,107,103,102,77,32,37,54,38,48,1,42,74,79,84,64,72,85,17,62,56,9,109,98,70,21,41,75,10,23,111,34,53,5,16,88,8,97,43,91,65,26,20,92,104,44
1: 22,35,69,28,25,100,7,63,67,59,27,112,60,29,11,106,71,51,55,82,40,86,46,45,33,101,105,99,24,57,96,89,73,13,31,78,81,4,30,110,83,76,2,14,50,36,80,66,18,87,15,95,61,19,6,58,12,49,108,90,68,39,47,94,52,93,3,102,85,54,1,72,32,103,37,42,77,9,107,38,79,48,98,70,84,74,64,17,62,56,109,21,34,10,88,111,41,53,23,65,75,5,16,8,97,43,91,104,92,44,26,20
1: 22,69,35,25,28,63,67,59,112,60,29,100,55,82,40,27,7,86,11,45,46,106,105,101,71,51,57,24,89,73,33,99,31,78,81,4,30,15,96,83,13,76,80,87,61,14,6,110,58,50,12,66,108,36,2,95,49,52,18,39,42,19,47,94,93,90,68,85,102,32,107,79,64,54,1,62,37,72,9,70,48,3,77,17,21,10,88,38,74,103,98,84,75,56,109,34,111,41,53,23,65,5,8,91,104,20,43,16,97,92,44,26
1: 22,69,25,28,35,63,67,59,112,60,100,55,82,40,29,7,11,46,45,105,27,101,51,86,57,106,24,89,73,33,99,15,71,78,81,6,4,30,76,80,87,110,58,50,31,61,96,66,83,108,14,13,2,95,12,39,42,49,36,18,47,93,107,94,79,64,62,68,54,52,19,90,85,9,21,32,102,1,37,72,17,10,74,88,103,75,77,104,70,48,3,65,5,98,34,38,97,16,84,56,109,111,41,53,23,8,91,20,43,26,92,44
1: 22,69,25,28,35,60,59,40,67,55,82,11,45,7,112,63,100,101,106,29,51,15,73,86,78,105,46,71,6,27,30,57,76,24,89,33,110,31,58,99,4,87,81,80,108,14,13,95,83,50,66,61,96,36,2,12,18,47,94,39,42,62,64,68,19,90,49,9,107,52,93,79,21,37,54,1,17,85,102,32,72,10,5,75,103,34,70,74,3,88,77,104,98,48,97,84,109,65,38,20,16,56,111,43,41,53,91,23,8,26,44,92
1: 25,28,82,22,67,69,112,35,63,60,55,45,100,40,106,73,7,30,101,29,78,86,71,105,14,59,6,46,51,11,110,15,27,58,76,95,31,4,61,89,24,107,81,57,83,66,87,36,2,50,13,18,80,47,108,39,33,12,96,52,99,94,93,9,42,62,90,21,85,64,75,54,37,68,103,19,17,49,79,74,5,10,1,72,102,104,88,98,34,70,32,3,77,48,97,65,91,23,111,84,109,43,38,20,56,26,16,41,8,53,92,44
1: 25,28,82,67,69,112,35,63,60,22,55,100,106,40,73,7,30,45,101,29,71,105,14,27,58,78,59,6,31,51,86,11,46,110,15,76,95,4,36,61,107,81,18,89,24,57,83,39,66,2,50,87,13,80,47,108,33,12,52,99,96,94,93,9,42,62,21,85,90,64,75,54,37,68,103,19,17,49,79,74,5,10,1,72,102,104,88,98,34,70,32,3,77,48,97,65,91,23,111,84,109,43,38,20,56,26,16,41,8,53,92,44
1: 25,28,67,82,69,112,35,63,60,22,55,73,40,100,7,30,45,106,101,29,71,105,27,58,14,78,59,6,31,110,51,86,11,46,76,95,4,36,15,61,107,81,18,89,24,57,83,39,66,2,50,87,13,80,47,108,33,12,52,99,96,94,93,9,42,62,21,85,90,64,75,54,37,68,103,19,17,49,79,74,5,10,1,72,102,104,88,98,34,70,32,3,77,48,97,65,91,23,111,84,109,43,38,20,56,26,16,41,8,53,92,44
1: 69,28,25,63,40,55,60,67,82,59,73,7,100,35,110,112,71,45,30,27,108,58,101,105,61,11,78,83,76,106,29,22,15,36,85,31,18,24,4,80,14,62,13,2,89,94,9,99,93,81,66,6,12,50,107,57,46,47,51,95,86,33,90,74,21,64,19,75,88,42,52,103,87,39,70,68,104,49,32,96,38,34,48,102,91,1,54,72,97,109,5,77,20,37,23,84,98,79,111,10,56,17,3,41,26,16,53,44,65,92,8,43
1: 89,67,28,63,100,69,59,25,60,30,18,35,57,22,11,106,7,99,4,101,87,96,82,86,45,64,51,66,46,73,33,76,103,27,61,107,13,15,80,81,19,83,93,41,40,74,31,52,112,36,78,9,95,55,71,90,50,77,68,24,17,84,75,21,37,111,2,48,8,108,14,79,6,88,26,29,20,58,56,54,105,85,32,12,109,39,70,10,62,23,53,1,98,16,94,43,5,38,47,49,102,42,34,92,97,104,3,72,44,65,91,110
1: 67,63,89,28,100,60,59,30,25,18,35,69,57,22,11,106,7,99,73,4,87,96,82,86,45,61,33,46,103,27,76,15,80,81,2,101,19,52,83,40,93,74,31,66,112,21,36,13,107,64,95,9,78,68,55,50,71,90,51,41,24,17,12,77,110,37,111,39,108,14,6,88,26,79,56,58,20,75,54,84,29,85,105,70,109,8,72,48,1,62,53,23,32,16,94,5,47,38,10,98,92,43,49,102,42,34,104,65,97,3,44,91
1: 63,69,67,89,28,59,100,60,25,35,7,11,106,30,22,18,99,73,87,57,96,82,86,4,45,46,101,19,83,33,27,74,76,61,15,55,71,40,103,107,31,64,13,80,66,2,24,112,21,95,52,93,77,68,78,51,41,90,36,110,32,81,6,9,58,50,12,108,29,39,17,85,14,94,20,84,75,54,37,105,111,70,26,56,42,88,62,91,79,72,48,1,109,23,8,53,49,5,102,3,104,16,92,47,43,38,10,98,65,97,34,44
1: 25,63,67,60,59,7,22,35,69,28,100,106,27,45,99,86,89,11,76,13,73,83,30,55,112,15,71,82,87,46,57,105,9,19,21,14,42,40,64,78,18,37,58,95,68,81,107,2,52,74,66,90,6,103,101,33,80,31,61,4,94,49,77,29,102,72,12,96,24,54,51,48,108,47,93,50,39,85,3,36,32,110,41,17,1,5,88,111,109,84,26,70,20,38,79,56,91,75,23,62,53,43,16,8,65,34,10,92,104,98,97,44
1: 63,25,28,60,100,67,59,22,69,35,27,7,40,86,11,71,106,30,57,89,99,15,55,82,76,13,83,45,101,73,93,50,90,95,81,80,46,33,78,12,19,112,29,58,18,9,51,87,85,21,64,31,105,2,102,24,94,107,52,108,6,74,4,49,61,37,110,39,48,68,77,66,36,42,96,32,72,14,1,103,41,3,54,47,5,98,84,97,111,88,109,38,70,91,17,20,62,56,26,79,23,75,53,43,16,104,92,8,65,10,34,44
1: 63,25,69,28,100,60,59,27,35,67,7,22,82,55,71,40,99,57,15,11,50,108,30,106,86,89,112,78,4,29,13,90,46,45,76,58,33,19,12,105,18,73,21,107,83,24,9,94,81,101,68,2,102,93,51,14,96,95,85,80,110,52,39,6,42,36,87,32,61,64,74,72,48,38,49,37,31,70,88,77,109,97,66,56,103,1,54,79,3,41,47,84,5,98,20,111,10,26,17,62,53,91,34,75,16,104,23,92,65,43,8,44
1: 63,28,69,100,25,60,67,40,59,7,35,27,71,106,82,22,108,55,29,15,112,30,86,50,57,99,4,76,73,33,24,12,89,68,61,78,58,105,90,95,94,85,13,14,45,19,83,46,2,36,51,18,81,66,101,31,21,93,11,9,102,52,107,110,39,96,77,70,49,54,80,62,32,42,64,56,6,74,1,87,3,37,72,38,47,48,23,10,109,88,97,98,84,5,79,41,103,111,20,26,91,53,16,17,34,75,8,104,43,65,92,44
1: 100,63,67,28,59,7,27,69,25,71,108,55,40,60,35,112,82,15,22,29,50,31,86,24,106,58,99,45,78,73,30,85,105,14,61,57,81,36,33,76,68,18,46,13,12,90,4,94,89,66,83,110,9,51,95,2,49,80,102,96,54,19,93,47,72,52,70,21,1,39,101,107,42,56,77,3,74,11,64,38,6,62,37,32,98,48,88,87,10,97,23,109,84,79,111,26,5,91,34,103,41,20,16,53,75,104,17,8,65,43,92,44
1: 63,28,69,67,25,100,59,108,27,55,82,60,35,71,112,7,40,29,15,73,22,45,58,105,30,57,86,89,81,31,61,106,78,50,12,83,13,24,85,4,76,99,33,46,14,80,36,51,94,68,52,18,11,49,66,2,9,110,90,62,19,72,6,47,95,88,96,93,42,101,39,102,87,64,48,74,70,79,21,77,107,56,54,32,1,38,3,84,37,97,91,109,10,98,23,104,111,75,103,20,34,5,26,41,16,53,17,8,44,65,92,43
1: 63,25,28,69,67,59,60,100,82,55,108,40,35,27,7,112,73,71,29,15,45,30,22,105,57,89,11,78,46,81,80,99,58,31,50,86,61,76,13,24,12,106,33,36,51,14,83,101,4,9,110,85,66,6,18,94,62,90,49,2,21,68,74,107,95,87,93,64,42,19,47,52,72,96,88,79,39,48,104,102,103,77,70,97,56,38,1,32,91,23,84,37,54,3,109,10,16,98,75,111,5,34,20,41,26,65,17,53,8,92,44,43
1: 25,28,59,67,69,60,63,40,82,55,7,100,35,108,73,30,78,11,27,15,112,45,71,29,22,31,76,58,80,13,86,105,106,9,99,57,101,89,61,46,14,24,81,83,50,51,110,12,6,36,62,33,85,2,94,18,95,4,21,47,19,90,107,66,49,93,70,42,68,64,74,87,52,34,88,72,96,48,39,103,104,97,1,79,102,77,109,38,5,84,32,20,91,54,75,3,56,37,23,111,98,10,16,41,44,26,65,17,53,8,92,43
1: 69,25,28,67,60,40,63,7,59,82,55,100,73,78,35,30,108,27,45,11,112,71,15,29,61,58,31,76,105,110,80,106,13,9,83,22,86,46,57,51,14,36,101,89,6,12,99,50,81,24,4,94,2,85,18,62,47,33,66,21,93,95,75,107,74,64,19,90,88,87,42,49,68,70,52,34,72,109,103,39,1,96,97,48,102,104,38,77,79,5,54,37,23,20,91,84,3,32,56,98,111,16,10,41,44,26,17,65,53,8,92,43
1: 69,25,28,67,63,60,59,55,40,82,100,7,73,78,71,35,30,27,110,45,112,15,61,58,22,108,11,106,29,18,105,46,14,101,31,86,76,9,4,66,80,13,51,83,36,57,12,85,2,6,24,89,94,21,50,99,81,107,47,62,93,33,74,75,95,90,19,103,64,87,52,88,42,49,104,68,34,70,96,48,72,39,109,102,97,38,54,77,1,79,37,5,20,91,3,23,84,56,32,98,17,111,10,16,41,26,44,65,53,92,8,43
1: 69,25,28,63,67,60,55,40,82,73,7,59,100,35,71,30,22,11,110,27,45,112,78,29,106,108,61,18,105,76,15,101,58,14,85,4,80,31,9,2,62,46,13,83,66,6,94,99,86,12,107,81,51,36,24,57,90,50,89,93,47,21,74,33,19,95,75,39,88,64,52,87,42,103,96,104,70,48,68,49,5,102,34,109,32,72,1,97,38,77,37,54,84,20,91,3,98,23,79,56,111,17,41,10,26,16,53,44,65,92,8,43
1: 69,25,28,63,60,67,55,40,82,73,7,59,100,35,71,30,27,110,112,11,106,108,45,61,29,22,58,105,78,76,14,15,101,18,85,31,36,80,4,13,83,62,24,2,94,89,9,66,6,81,99,51,46,12,107,86,93,57,47,50,21,95,90,74,33,75,64,19,88,39,52,42,87,103,68,104,70,32,49,96,48,102,91,34,38,54,1,72,97,109,77,5,37,20,98,84,23,17,111,79,10,56,3,16,26,41,53,44,65,92,8,43
1: 69,25,28,63,60,67,73,55,40,82,7,59,100,35,71,110,30,27,112,11,108,45,61,22,29,58,105,78,76,106,101,18,15,14,85,31,36,4,80,13,62,83,24,2,93,89,6,94,9,66,99,81,46,51,12,86,107,57,47,50,21,95,74,90,33,64,75,19,88,39,52,42,87,103,68,104,70,32,49,96,48,102,38,91,34,54,1,72,97,109,5,77,37,20,84,23,98,111,79,10,56,17,3,16,26,41,53,44,65,92,8,43
1: 28,69,25,63,67,82,55,40,35,60,112,59,100,7,73,45,22,30,101,106,105,110,58,61,27,11,31,83,76,94,36,71,15,78,29,108,4,24,2,14,18,6,86,89,66,50,46,80,95,51,93,12,13,81,47,85,33,99,9,107,57,52,87,21,42,64,62,39,90,19,74,103,68,1,88,70,75,96,49,37,32,48,38,77,5,102,34,104,91,3,10,97,84,56,20,54,72,79,98,17,111,23,109,41,26,16,53,65,44,43,92,8
1: 28,69,63,25,67,82,59,60,22,40,100,35,15,112,55,108,7,105,29,73,46,45,11,30,61,27,86,106,71,110,89,80,81,50,14,99,57,101,94,51,58,6,13,78,24,95,33,4,12,76,21,83,66,47,31,2,18,42,49,107,36,39,64,9,87,93,85,52,62,68,88,19,96,74,90,48,70,32,1,77,102,79,103,91,56,37,38,97,104,10,72,75,3,111,41,17,84,5,20,34,54,23,109,26,65,98,16,53,44,8,43,92
1: 28,69,59,60,25,82,67,40,63,15,55,35,22,7,11,30,112,73,100,108,45,86,29,106,105,61,110,46,94,27,71,101,14,78,50,13,6,31,80,89,76,99,51,95,58,81,24,57,21,83,9,66,87,33,18,47,64,12,62,4,2,36,88,19,107,39,42,68,49,70,93,52,85,90,96,1,48,74,103,37,32,77,97,3,75,102,38,91,34,20,72,79,84,5,56,104,10,109,111,54,17,41,23,16,65,26,98,44,53,43,8,92
1: 28,69,25,67,82,60,40,63,59,55,7,73,112,35,30,100,22,106,11,86,45,15,61,29,110,105,108,71,94,46,14,78,27,13,31,101,51,50,76,58,89,80,6,81,83,95,9,57,66,21,4,24,99,64,2,47,36,18,12,93,87,88,42,33,107,62,52,19,39,74,75,68,85,70,103,49,90,1,96,37,48,32,77,102,97,38,91,3,72,34,20,79,5,10,84,56,111,109,54,23,104,98,17,41,16,65,26,44,53,43,92,8
1: 69,28,25,67,82,60,63,55,40,100,112,73,22,59,35,30,106,7,110,61,45,86,15,71,46,14,11,105,78,27,29,101,58,94,108,66,51,13,6,76,4,21,31,9,89,95,50,80,18,47,83,2,24,57,81,36,87,12,99,93,107,64,33,52,85,74,42,103,19,62,39,88,70,75,68,96,90,48,49,37,1,77,34,97,38,102,54,91,3,32,20,17,104,5,10,72,84,79,56,111,109,23,41,98,16,26,65,53,44,43,92,8
1: 28,69,25,67,82,63,60,55,40,22,112,73,35,100,30,106,7,59,110,45,61,71,14,105,86,11,15,101,94,29,27,46,108,76,58,18,78,6,95,31,51,2,83,89,66,24,81,50,4,47,13,21,93,107,36,9,80,85,87,57,99,12,33,64,39,62,52,42,90,74,88,19,103,75,70,68,96,37,49,32,1,48,91,77,5,34,104,38,10,102,3,97,54,17,20,84,72,98,111,56,79,23,41,26,109,16,65,53,44,43,8,92
1: 28,69,25,67,63,82,60,55,40,112,35,73,100,30,106,22,7,59,110,61,11,27,105,45,71,14,101,15,29,94,86,58,108,76,31,46,18,6,78,95,2,51,36,4,83,24,66,50,89,47,81,13,93,21,80,107,9,12,85,57,39,87,33,99,64,52,62,42,74,90,19,88,103,75,70,68,96,37,1,49,32,48,91,38,77,34,102,104,5,3,10,97,17,54,20,84,98,72,56,79,111,23,41,109,26,16,65,53,44,43,92,8
1: 28,69,25,67,63,82,60,55,40,112,73,35,30,22,110,7,59,100,106,61,11,27,105,45,71,101,29,94,86,14,15,58,108,76,31,46,18,6,78,95,2,93,51,36,4,83,24,66,50,89,47,81,13,21,80,107,9,12,85,39,57,87,33,99,64,52,62,42,74,90,19,88,103,75,70,68,96,37,1,49,32,48,91,38,77,34,102,104,5,3,97,10,54,20,84,72,98,17,56,79,111,23,41,109,26,16,65,53,44,43,92,8
1: 63,28,69,22,67,60,89,45,18,86,11,96,33,59,99,87,35,57,46,73,82,52,4,7,83,25,31,110,106,2,101,76,80,27,103,30,100,36,109,51,13,81,17,93,112,66,40,55,6,50,12,61,78,105,79,68,90,29,19,1,71,70,74,14,24,41,94,75,16,32,9,56,49,21,58,39,64,85,53,37,5,54,108,47,107,84,62,26,15,95,111,20,88,38,23,10,72,48,42,98,8,104,43,92,77,3,102,34,65,97,91,44
1: 63,28,11,69,60,44,89,22,67,45,59,86,96,18,99,87,35,7,46,33,4,73,106,83,13,100,57,110,25,19,71,27,2,101,103,55,36,76,31,80,74,109,78,112,17,66,40,6,94,30,24,90,14,29,32,51,12,70,68,1,21,93,15,42,58,75,52,49,50,39,54,108,107,85,81,64,105,72,41,61,9,53,56,84,5,26,62,79,16,77,95,47,20,88,3,37,23,104,38,111,10,48,92,43,8,98,102,91,34,65,97,82
1: 63,55,28,69,11,60,22,59,25,45,67,86,35,99,87,7,13,27,106,73,33,89,57,100,19,112,40,83,82,110,4,76,109,101,66,2,103,71,51,18,31,29,105,36,78,68,9,74,46,17,30,24,32,93,54,12,6,80,42,21,14,81,1,85,94,58,37,108,49,39,107,15,70,50,61,64,52,41,75,48,96,84,72,95,90,77,56,53,5,79,26,20,88,62,47,38,98,3,111,10,102,23,65,43,16,104,92,8,34,97,91,44
1: 69,28,55,67,60,63,25,45,82,59,40,22,100,112,73,18,35,7,78,11,4,106,30,101,6,83,46,110,105,86,27,2,58,61,36,12,66,51,52,76,80,19,24,31,71,93,50,99,94,33,9,21,87,13,29,95,14,85,15,48,89,90,38,68,96,74,1,62,57,64,37,39,49,103,81,10,70,42,107,47,75,108,102,20,88,54,109,84,56,3,91,32,34,5,79,53,41,17,16,104,26,98,72,77,23,97,92,43,111,44,65,8
1: 69,63,55,28,25,67,60,82,112,35,59,100,40,45,11,73,27,4,36,7,30,22,105,101,106,83,6,110,18,76,58,61,2,78,24,31,52,12,94,93,46,71,51,19,50,39,33,99,90,80,89,14,85,86,62,66,95,1,29,87,96,68,21,15,48,9,74,81,107,64,13,38,103,37,32,49,42,47,57,75,70,108,10,88,84,54,3,53,56,91,104,5,20,102,16,17,109,41,26,34,72,98,79,77,23,97,43,92,111,44,65,8
1: 69,63,28,55,25,67,60,82,112,73,100,35,59,40,45,11,27,4,36,7,30,22,105,101,110,83,6,18,76,106,58,61,2,93,78,24,31,52,12,94,46,71,51,19,50,39,33,99,90,80,89,85,86,62,66,95,1,29,14,87,96,68,21,48,9,74,81,107,15,64,13,38,103,37,32,49,42,47,57,75,70,108,10,88,84,54,3,53,56,91,104,5,20,102,16,109,41,26,34,72,98,17,79,77,23,97,43,92,111,44,65,8
1: 69,25,28,63,60,40,55,35,67,7,82,59,100,112,45,11,76,73,58,31,2,36,106,30,83,27,4,22,101,78,24,80,12,89,29,6,61,18,33,105,99,110,85,94,71,19,108,13,90,38,93,46,42,86,15,14,52,50,57,66,107,51,62,9,49,21,81,74,64,1,95,87,39,70,96,32,103,88,47,102,84,56,48,75,37,16,41,68,20,5,97,104,54,77,79,72,23,53,3,26,98,17,91,10,34,111,109,44,65,92,8,43
1: 63,28,60,69,45,67,18,35,30,22,59,86,99,89,87,25,31,96,82,11,7,57,100,13,66,46,71,110,103,27,106,55,4,17,83,36,52,33,51,74,61,73,19,80,101,64,40,78,93,112,75,76,24,108,50,79,109,14,107,81,29,94,2,9,68,21,70,37,84,6,90,48,16,58,85,56,62,41,54,32,105,1,20,95,12,39,10,88,26,111,15,77,53,8,49,3,47,43,102,104,42,34,23,92,72,5,98,38,65,97,91,44
1: 63,69,67,28,25,86,55,45,99,60,30,35,11,57,82,48,89,59,87,22,31,110,51,33,100,13,78,6,36,46,106,19,85,103,73,74,108,76,27,4,83,96,52,66,9,7,80,58,53,40,112,107,14,61,101,24,64,77,29,93,47,84,16,81,18,21,71,68,17,62,23,2,109,32,54,75,88,79,111,56,49,41,70,90,37,26,12,102,20,10,105,104,72,39,15,5,50,95,1,65,3,42,38,97,94,34,92,43,8,91,98,44
1: 63,28,25,69,67,55,60,35,45,11,48,22,59,99,57,82,86,30,89,31,51,4,33,87,106,108,27,40,78,80,6,52,46,76,13,112,107,36,61,73,100,74,83,53,19,85,7,96,14,110,58,9,103,93,68,101,109,81,66,12,64,21,47,71,41,62,77,23,32,84,24,49,18,16,2,111,95,79,17,56,29,105,75,1,54,15,20,26,88,90,70,102,104,37,72,38,39,50,10,97,3,94,5,65,42,34,92,43,98,91,8,44
1: 63,67,25,28,69,55,35,60,45,11,59,82,86,99,22,89,48,57,30,33,31,4,87,51,112,78,108,36,100,80,27,40,6,46,76,13,106,110,7,83,52,73,19,85,107,61,74,53,58,96,9,14,12,103,24,93,68,32,109,101,81,84,16,62,71,66,47,64,77,2,29,79,18,49,21,23,56,105,41,90,17,102,20,88,75,26,54,111,104,70,37,1,15,10,39,72,95,38,50,97,3,5,94,65,42,34,92,98,43,91,8,44
1: 63,69,67,25,28,55,60,35,59,45,22,11,99,82,86,30,89,57,33,40,31,4,112,48,27,51,100,80,110,36,108,106,13,76,46,7,87,83,73,78,6,61,52,85,74,19,58,12,107,14,96,24,93,101,71,66,18,9,81,29,53,32,21,103,62,68,2,49,16,109,64,105,84,79,54,77,41,47,56,90,23,102,17,70,20,75,1,26,50,15,94,95,37,104,38,39,111,10,42,3,88,65,72,5,97,34,98,92,91,43,8,44
1: 25,7,100,63,67,28,35,27,59,69,40,55,108,82,60,22,106,112,31,58,71,86,30,45,29,33,12,76,24,85,99,80,94,73,49,89,13,2,36,15,11,61,78,18,83,101,46,105,110,4,42,57,51,52,50,1,21,70,93,81,107,19,32,66,95,64,14,38,6,68,9,47,56,74,41,102,87,96,54,109,97,77,90,39,23,48,88,3,62,26,10,37,98,91,111,17,72,103,84,104,53,79,16,75,5,20,34,44,92,65,8,43
1: 63,28,25,67,69,100,7,59,108,82,35,60,55,40,58,27,22,11,112,45,29,86,106,31,99,30,71,85,12,76,36,89,33,80,73,15,83,2,61,105,13,94,57,49,78,101,4,52,18,42,24,46,81,38,21,110,93,19,6,1,70,14,64,32,9,48,51,50,107,62,47,56,66,95,74,102,88,54,41,39,96,84,90,87,97,68,79,37,77,16,3,53,20,103,26,75,5,23,98,109,10,104,72,111,17,34,91,44,92,65,43,8
1: 63,28,25,67,69,59,7,60,100,82,40,35,55,11,108,58,22,45,99,112,27,80,30,12,36,31,76,106,33,73,29,85,86,105,101,83,46,57,15,78,2,71,13,89,49,61,4,18,42,94,21,24,110,6,81,9,19,93,52,38,64,14,90,50,107,66,32,48,62,51,74,56,87,47,95,96,88,1,70,84,41,102,79,39,103,54,77,37,97,16,23,104,20,68,75,26,3,10,17,53,5,72,111,98,109,91,34,92,44,65,8,43
1: 28,25,67,40,63,59,60,69,7,82,55,100,35,11,58,45,22,30,112,108,99,80,31,27,86,2,78,76,36,12,106,73,29,15,105,85,13,83,33,101,24,61,57,89,94,46,18,6,71,42,49,9,19,110,21,52,4,14,93,81,38,64,95,62,90,66,50,32,107,1,51,48,70,47,74,87,84,88,96,103,102,41,77,5,56,39,97,37,54,79,16,20,75,68,23,3,72,104,44,111,17,109,26,34,91,53,98,10,65,92,43,8
1: 25,40,67,63,60,28,69,7,59,55,82,11,100,58,35,45,112,30,73,22,29,106,27,80,76,31,36,78,2,12,86,83,99,6,105,61,108,101,13,89,24,71,85,4,18,94,33,46,15,110,57,19,9,42,93,21,52,50,14,38,49,81,51,66,64,90,1,107,62,95,87,74,48,70,88,32,47,102,96,75,16,84,37,103,20,68,56,39,41,5,79,54,97,77,23,72,3,104,111,10,91,109,26,53,17,34,98,44,92,65,43,8
1: 25,69,60,63,67,28,40,55,7,100,59,82,11,35,45,22,112,58,73,30,106,27,2,76,31,78,86,18,36,80,83,61,29,12,101,4,105,71,99,6,110,24,33,13,85,46,94,89,15,108,19,51,21,52,38,93,66,14,57,90,42,9,50,107,81,49,87,64,62,74,95,48,39,70,1,47,102,88,96,37,75,32,103,84,20,56,16,41,68,54,5,97,77,79,3,104,23,17,72,53,91,10,109,34,111,26,98,44,92,65,8,43
1: 25,69,63,60,28,67,40,55,7,100,82,59,11,35,45,112,22,58,106,76,30,73,31,2,18,27,36,4,83,78,101,12,29,80,105,99,61,86,71,6,33,24,94,110,85,89,46,19,108,13,52,15,14,93,51,90,38,42,66,57,107,21,50,9,81,62,49,39,87,64,74,95,1,70,32,48,47,103,88,96,37,102,84,75,56,41,20,16,68,5,97,104,54,77,79,3,53,17,98,23,26,91,72,10,34,111,109,92,44,65,8,43
1: 25,69,60,63,28,67,55,40,7,82,100,35,11,59,112,45,27,76,58,73,30,22,106,31,2,36,4,83,18,29,78,24,101,105,80,71,12,99,61,89,6,33,86,94,110,85,13,19,108,52,90,14,15,46,51,93,38,42,66,21,57,107,50,9,62,81,49,39,74,64,1,87,95,70,96,32,47,48,102,103,88,84,37,56,75,41,20,16,68,5,104,54,97,77,72,79,53,3,17,98,23,26,91,10,34,111,109,92,44,65,8,43
1: 25,69,60,63,28,67,40,55,7,100,35,82,11,59,112,45,73,27,76,58,30,22,31,2,36,106,4,18,83,78,29,24,105,101,71,80,12,99,61,89,6,110,33,86,94,85,13,19,108,90,46,52,93,51,38,42,15,14,21,66,57,107,62,50,9,81,49,39,74,64,1,87,95,70,96,102,32,47,48,103,88,84,37,56,75,41,20,16,68,5,104,54,97,72,77,79,53,3,23,98,26,91,17,10,34,111,109,92,44,65,8,43
1: 69,28,63,25,67,55,59,60,40,35,100,82,7,112,45,73,58,11,27,22,4,31,76,105,83,30,78,101,24,106,36,2,110,61,99,18,89,80,29,33,6,94,12,85,90,71,46,13,66,52,15,19,93,14,108,42,86,51,50,9,95,81,62,107,1,87,49,57,38,64,21,74,47,103,96,48,32,39,68,70,88,56,75,37,102,109,84,77,72,5,91,20,104,34,16,79,3,97,53,23,54,17,41,10,26,98,111,44,92,65,8,43
1: 25,59,89,67,112,7,63,73,55,27,69,57,60,4,22,21,40,100,74,78,19,14,83,101,12,86,13,107,99,68,45,49,70,66,82,64,58,31,28,76,36,9,93,80,47,41,39,2,108,96,6,26,85,42,111,34,46,106,72,52,87,37,103,95,43,56,71,77,3,29,30,53,35,90,110,102,79,48,1,54,10,98,15,65,61,5,32,38,44,88,109,92,17,16,8,51,91,97,33,105,81,84,23,62,11,94,75,18,24,104,50,20
1: 28,63,69,67,40,7,59,100,60,25,55,35,82,27,22,112,108,106,99,4,71,58,12,86,33,11,15,85,30,78,89,29,76,101,73,13,61,24,94,2,57,45,80,105,31,49,50,95,1,19,14,36,83,90,18,6,68,51,46,110,42,81,77,56,21,9,74,52,32,54,66,39,70,107,47,23,93,102,109,64,87,96,3,62,38,41,5,88,48,37,98,97,53,26,111,103,79,72,10,20,104,84,17,75,91,16,43,34,44,65,8,92
1: 28,67,63,100,7,59,25,27,69,40,55,35,60,22,82,112,108,106,58,15,71,99,31,86,24,85,30,33,29,73,80,45,61,94,78,105,89,11,12,13,49,46,18,76,110,36,14,2,101,4,83,51,50,66,81,57,42,1,95,52,90,47,19,70,9,93,6,54,68,21,74,56,96,107,32,77,64,87,39,109,38,3,102,37,23,48,98,88,62,103,5,72,97,84,41,10,26,111,91,53,17,79,75,104,34,16,44,20,43,92,8,65
1: 63,67,28,100,59,69,55,25,82,60,40,112,35,7,27,108,58,22,15,105,99,45,30,106,86,29,89,11,73,61,85,31,94,80,12,71,4,24,13,33,78,83,101,81,2,46,76,36,57,52,49,18,42,14,51,110,66,6,95,47,1,19,90,50,9,64,93,70,21,96,74,87,88,32,38,56,77,48,62,68,39,107,109,102,37,54,72,103,3,84,79,91,97,5,41,111,98,23,53,75,10,17,104,20,26,44,16,34,43,92,8,65
1: 63,67,28,59,69,25,55,60,100,82,40,35,112,7,27,11,99,22,45,58,105,108,15,73,30,89,80,101,29,46,33,4,61,106,24,12,31,78,36,83,13,86,85,94,18,76,57,49,2,81,42,110,71,52,90,6,14,66,51,9,21,19,50,64,95,87,47,93,107,1,62,96,74,32,68,48,103,56,38,77,88,70,39,109,79,102,37,72,97,84,91,104,23,3,41,53,5,10,75,54,111,16,20,17,26,34,98,44,92,65,8,43
1: 67,28,63,59,69,60,40,25,55,7,82,100,11,35,112,45,27,30,22,78,58,15,80,99,105,73,31,29,108,76,101,24,89,86,106,13,61,12,2,4,33,94,46,36,83,6,18,110,85,42,9,14,19,52,66,90,71,95,49,81,51,57,50,21,64,47,87,62,1,93,70,103,32,68,48,107,74,96,38,88,109,77,56,39,37,84,5,97,102,72,3,91,79,75,20,34,23,16,104,111,41,10,53,54,17,44,26,98,65,92,43,8
1: 69,67,63,28,25,55,60,40,59,100,7,35,112,82,22,45,11,58,73,30,27,105,4,106,76,78,18,31,101,24,61,83,2,110,99,29,80,36,46,6,94,86,89,33,71,12,85,90,14,15,52,66,51,13,93,108,19,42,9,87,81,95,50,62,21,107,57,64,49,47,38,1,74,39,103,48,96,32,70,68,37,88,75,56,109,84,102,77,5,3,91,20,34,72,79,16,53,104,17,97,54,23,41,10,26,98,111,44,92,65,8,43
1: 69,63,28,67,25,55,60,40,59,100,35,7,82,112,11,73,27,22,58,45,30,105,31,4,76,78,24,110,106,101,18,36,2,61,83,99,29,89,80,6,71,94,33,12,85,46,90,86,13,52,93,14,51,15,66,108,19,42,9,81,95,62,50,21,87,107,1,57,64,49,38,74,47,39,48,103,96,32,70,68,88,37,75,56,109,102,84,72,77,5,91,3,20,104,34,16,79,53,97,54,17,23,41,10,26,98,111,44,92,65,8,43
1: 25,28,67,63,69,100,40,82,55,112,35,58,59,7,45,73,60,105,83,22,71,78,15,61,36,110,31,101,30,18,4,81,27,24,95,106,66,89,50,9,14,108,33,2,29,76,46,51,6,80,47,90,107,94,57,62,86,99,85,52,39,21,103,11,42,93,13,68,12,32,74,96,104,75,64,37,77,49,98,87,5,34,19,97,79,91,84,88,3,70,38,20,72,48,109,54,56,111,23,1,26,10,17,16,8,102,65,43,41,53,44,92
1: 76,60,25,100,63,7,27,35,95,45,22,67,40,71,89,59,112,83,15,99,82,46,14,73,37,42,21,49,78,87,103,13,69,68,81,9,86,58,105,74,52,2,47,11,32,19,3,1,28,72,94,77,29,84,110,90,107,6,109,61,18,108,39,12,55,33,50,111,80,64,48,51,66,93,36,101,30,96,41,106,54,43,31,57,65,4,34,17,24,62,70,5,98,23,88,56,26,20,79,75,38,102,104,91,85,16,97,44,92,8,53,10
1: 60,63,100,95,71,40,25,22,15,76,27,69,35,28,82,89,86,14,46,59,83,7,57,19,58,78,50,112,90,80,99,12,81,37,33,67,2,105,73,45,9,49,32,13,108,1,21,52,29,77,11,93,39,51,94,68,30,47,18,74,110,48,72,24,3,102,42,107,87,103,101,55,106,64,6,84,61,85,111,98,38,109,96,66,97,41,36,31,43,4,65,70,5,56,62,79,34,20,16,54,17,91,23,104,26,92,8,75,88,53,44,10
1: 100,60,63,82,25,69,35,71,89,15,27,90,40,59,14,78,28,112,57,22,24,46,99,33,108,7,50,86,58,95,67,105,19,55,42,4,45,83,73,96,76,68,39,81,80,21,106,9,51,103,18,2,29,110,30,94,37,32,107,52,13,77,11,6,12,1,49,102,61,101,38,87,48,93,97,84,79,64,3,74,72,88,85,34,56,98,47,111,36,70,109,41,66,10,31,43,5,62,20,54,17,65,104,26,91,16,23,92,75,53,8,44
1: 100,63,60,28,69,35,71,112,40,67,15,25,59,82,27,106,33,57,7,90,89,24,50,108,95,14,29,78,22,68,86,61,105,58,55,83,46,4,12,51,30,76,73,99,94,77,81,45,31,96,42,18,2,80,56,9,3,37,19,85,39,32,110,47,13,49,36,21,52,66,6,101,84,62,103,11,54,107,1,98,93,48,87,64,102,74,38,97,34,72,111,8,79,70,10,23,88,41,109,5,91,43,65,104,26,20,17,53,16,92,75,44
1: 100,67,28,71,63,112,7,60,27,35,15,25,69,59,22,82,29,40,108,24,106,55,14,50,78,57,90,58,33,81,89,46,31,105,86,61,45,95,66,99,94,96,51,80,36,30,73,18,83,68,110,4,12,49,47,76,77,13,9,85,37,42,2,3,101,56,54,98,72,39,32,102,19,6,93,1,11,48,103,87,64,52,97,38,74,107,84,111,70,79,21,34,62,23,91,88,10,8,41,109,5,17,104,65,53,16,26,20,43,92,75,44
1: 100,67,63,28,112,59,69,25,82,60,35,15,71,81,29,55,105,22,108,40,89,58,7,57,27,45,61,78,24,46,73,80,31,106,14,33,86,51,83,30,90,50,94,4,96,95,99,42,36,66,6,62,12,68,47,52,18,13,101,79,110,39,77,2,9,76,49,19,32,72,85,87,37,56,3,64,11,103,74,84,93,48,38,98,97,88,70,102,21,91,1,111,54,107,10,104,34,109,41,8,23,75,20,17,5,53,43,16,65,26,92,44
1: 67,100,28,63,69,112,25,59,60,82,15,35,40,22,81,55,105,7,46,89,45,71,108,78,57,29,58,61,73,80,24,99,27,50,33,4,14,51,6,30,101,31,90,83,94,66,95,106,9,110,86,76,62,42,47,12,36,18,68,96,79,49,13,104,11,52,39,77,2,107,21,87,103,19,74,32,72,85,93,37,64,3,56,97,84,38,48,88,91,98,34,102,70,111,16,109,1,41,5,10,23,75,8,65,54,17,53,20,43,26,92,44
1: 67,28,69,100,60,59,15,25,63,40,82,35,112,45,78,22,7,55,46,108,71,81,101,89,105,6,30,73,58,29,61,57,106,24,50,14,27,95,9,11,31,51,80,99,76,4,90,33,83,86,47,94,66,110,62,13,18,68,36,42,12,19,21,104,2,87,52,49,96,34,107,37,39,79,77,103,97,32,84,64,85,74,3,72,70,93,56,5,48,88,109,20,91,38,98,1,102,16,75,111,54,23,8,65,10,41,17,53,43,26,44,92
1: 67,69,28,100,25,82,40,60,63,59,15,112,78,7,35,45,61,55,105,46,71,58,22,73,83,30,89,81,31,106,101,57,9,108,51,29,6,14,4,80,95,110,86,50,24,27,66,76,11,94,99,90,47,33,13,36,18,62,12,2,68,42,21,103,64,75,74,107,52,93,19,77,104,34,39,96,49,37,32,87,79,97,85,84,72,88,5,109,3,98,38,70,20,56,23,48,91,1,102,54,111,16,8,10,65,41,17,43,53,26,92,44
1: 67,69,25,100,28,82,63,60,112,40,78,45,35,59,55,15,22,71,7,58,46,105,61,30,14,73,110,66,4,83,101,86,9,81,51,106,89,6,57,31,27,18,108,29,24,80,95,50,94,47,76,36,2,99,21,33,103,90,13,11,107,62,52,12,74,42,68,96,75,104,85,93,64,77,37,87,49,34,32,39,19,97,79,84,48,3,5,72,88,70,98,38,109,20,56,23,54,91,17,1,111,102,16,8,10,65,43,53,41,26,44,92
1: 67,25,100,63,28,69,112,82,40,22,55,45,35,60,71,78,15,59,7,105,30,58,61,73,18,46,14,110,106,81,83,101,4,89,24,29,6,66,31,51,95,86,76,108,90,9,27,50,2,47,33,80,57,107,36,62,94,85,99,11,21,52,68,103,13,42,39,96,74,32,12,93,37,104,75,87,64,77,98,5,34,49,19,97,3,84,88,79,91,38,70,20,48,72,56,109,54,1,23,111,17,10,26,16,102,8,65,43,53,41,44,92
1: 25,67,100,63,28,69,112,40,82,55,35,60,22,58,71,59,45,15,7,105,30,78,61,73,106,27,18,14,83,110,31,81,4,101,36,29,66,6,46,51,95,76,89,108,9,24,2,33,47,86,50,80,90,57,107,62,94,99,39,85,11,21,52,103,68,13,42,74,12,32,96,93,37,75,104,64,77,87,98,34,49,19,5,3,97,84,88,79,91,38,48,20,70,109,72,54,56,23,111,1,17,26,10,16,8,102,65,43,53,41,44,92
1: 67,25,28,63,69,100,112,82,40,55,22,35,60,71,58,59,45,73,7,105,30,110,15,78,61,18,27,83,31,81,106,4,101,14,36,46,51,29,66,6,95,76,89,108,24,9,2,33,86,50,47,80,90,107,57,62,94,39,99,85,11,21,52,103,68,93,13,42,74,12,32,96,37,75,104,64,77,87,98,49,19,5,3,34,97,84,88,79,91,38,48,70,20,109,72,54,56,23,111,1,17,10,26,16,8,102,65,43,53,41,44,92
1: 28,69,25,63,67,40,82,55,100,112,35,60,59,73,71,45,58,7,110,22,101,61,83,78,36,105,30,31,27,15,106,14,76,18,24,108,95,4,29,50,6,81,85,11,2,94,86,89,46,57,66,33,107,93,47,9,51,80,99,62,13,90,21,12,74,42,52,39,103,64,75,68,19,87,96,5,34,32,104,49,37,91,88,70,77,54,98,10,38,20,97,1,102,72,17,48,3,79,84,56,109,23,26,111,16,65,53,43,8,44,41,92
1: 63,60,28,69,89,22,67,59,99,25,52,86,71,82,45,101,18,103,100,87,73,57,35,46,7,30,11,21,96,110,61,27,66,15,55,83,74,13,17,106,78,107,33,90,68,40,4,76,95,93,54,64,84,14,80,29,31,75,2,77,19,81,36,58,48,24,51,85,108,50,112,94,6,32,9,72,47,26,12,70,105,42,56,111,8,37,39,20,1,109,41,53,5,62,49,43,79,16,88,10,38,65,104,23,3,102,91,97,98,92,34,44
1: 63,60,67,59,28,22,25,69,45,89,86,100,7,35,99,71,82,57,73,103,13,55,83,46,101,11,76,40,27,52,18,87,15,74,110,31,17,21,68,106,66,30,107,14,4,61,54,105,33,78,81,29,77,95,112,93,96,36,58,9,19,2,37,109,90,108,80,24,6,64,12,50,32,84,48,47,75,43,94,39,72,42,85,51,111,26,3,20,5,1,56,70,41,49,88,79,8,53,65,62,16,102,23,38,34,10,98,104,91,44,92,97
1: 63,28,60,71,69,22,67,100,25,86,59,57,89,82,35,45,99,7,27,40,15,101,14,18,55,11,13,76,83,110,46,73,31,30,80,106,103,33,4,81,61,96,108,87,95,74,93,2,21,50,68,17,52,90,105,112,36,77,85,58,107,78,66,51,29,24,12,39,19,9,37,6,48,5,64,32,94,47,1,54,111,3,98,72,43,109,84,56,79,70,20,26,42,75,49,41,38,53,102,16,88,62,8,65,23,104,97,91,10,34,92,44
1: 63,28,100,69,71,60,67,22,25,82,35,86,59,57,89,7,15,99,108,55,14,33,45,112,27,46,40,90,110,50,76,106,4,13,83,18,58,105,11,78,103,73,31,30,96,95,80,29,61,2,68,21,101,24,81,85,107,52,12,77,74,9,19,39,66,87,51,36,93,6,42,5,17,37,94,64,32,1,54,38,102,47,79,43,84,70,72,56,48,49,20,98,109,88,26,3,97,62,111,34,65,75,16,53,23,104,10,41,91,92,44,8
1: 28,63,100,69,60,71,67,35,112,40,59,25,82,106,15,7,108,27,22,29,55,57,33,86,61,89,50,14,76,95,99,4,24,45,46,90,83,13,68,30,31,73,12,110,58,105,78,18,2,77,81,85,5,11,96,21,94,36,80,101,52,51,19,9,54,56,47,6,42,93,66,39,74,62,49,32,3,103,37,70,107,64,1,102,98,87,38,72,23,10,84,17,109,48,79,20,26,88,65,97,34,104,75,16,111,53,91,41,8,43,92,44
1: 100,28,67,71,63,7,60,69,35,27,15,40,59,112,22,82,25,55,106,108,29,86,14,61,31,50,33,45,57,89,24,46,58,105,99,81,13,78,85,110,94,30,90,18,73,95,36,83,76,47,96,80,54,68,4,12,66,49,2,11,101,9,51,5,77,21,98,42,1,93,52,56,102,72,70,74,37,19,6,64,3,32,39,62,107,87,10,38,17,48,23,103,97,88,91,34,109,79,84,26,111,16,104,65,53,75,20,41,8,92,44,43
1: 28,63,67,100,69,59,82,112,71,35,15,40,60,25,55,108,29,58,22,7,45,106,81,105,61,27,86,57,89,73,31,14,30,78,80,94,46,33,85,13,50,24,83,99,12,110,4,11,95,62,51,96,36,47,76,52,101,49,18,90,2,6,68,42,9,19,66,64,21,77,74,54,93,5,72,32,102,87,39,70,79,56,88,1,3,98,38,91,107,48,37,10,84,97,103,109,17,75,104,23,111,34,16,53,65,41,20,26,92,8,44,43
1: 28,63,67,69,100,25,59,82,60,40,15,112,35,108,22,55,71,45,7,29,105,81,46,57,89,106,73,61,50,58,99,27,86,78,14,80,101,31,30,24,11,6,110,33,4,94,83,12,51,95,85,13,76,36,9,21,62,18,47,66,90,49,2,42,52,68,96,74,19,93,107,64,87,39,77,104,79,102,5,72,103,32,54,88,91,48,56,37,70,97,38,17,3,1,10,98,109,75,84,34,23,65,111,16,53,20,41,26,92,8,44,43
1: 28,67,40,69,60,63,82,59,25,35,15,100,7,55,112,22,45,78,108,71,11,29,106,101,73,86,58,30,61,105,6,46,31,89,81,50,14,27,95,110,57,80,76,24,99,94,9,13,4,83,51,33,62,47,36,12,21,18,90,85,66,2,19,87,68,42,64,52,93,49,107,74,96,5,39,103,104,34,77,70,32,37,72,102,97,54,88,79,48,84,91,3,17,20,56,1,75,109,38,10,98,16,111,65,23,26,53,44,41,92,8,43
1: 28,69,67,40,25,63,60,82,100,59,7,112,55,78,45,71,35,61,15,29,73,106,22,11,58,86,105,101,30,108,46,31,110,83,6,14,81,89,50,57,80,27,13,94,76,9,51,4,95,24,36,99,47,66,33,62,12,21,18,2,85,90,93,64,74,42,87,75,19,68,52,107,103,5,49,88,39,34,96,54,77,104,102,70,72,37,32,97,109,79,91,38,98,48,1,84,17,20,10,3,56,23,111,16,65,26,53,44,41,92,8,43
1: 28,69,67,25,63,40,82,60,100,55,112,35,59,71,22,45,78,61,7,110,15,73,58,86,106,30,46,14,101,105,27,29,108,4,31,83,66,11,6,18,57,9,51,95,24,89,76,81,80,13,50,94,21,36,47,2,93,33,85,99,74,12,62,107,103,90,42,52,75,87,64,19,68,96,70,54,34,5,104,49,77,39,88,37,17,102,10,48,97,32,72,38,79,91,98,20,84,109,3,56,1,23,111,16,65,26,53,43,8,44,41,92
1: 28,69,25,67,63,40,82,60,100,55,112,22,35,71,45,59,73,61,7,110,106,78,30,14,101,58,15,105,86,46,18,29,31,76,27,83,108,11,6,95,24,4,81,89,85,51,50,2,94,66,57,107,36,47,9,80,62,21,33,93,13,99,90,12,74,52,42,87,64,103,75,39,68,96,19,5,32,34,104,37,49,91,77,88,54,70,98,17,10,20,38,97,102,72,48,1,3,84,79,56,109,23,26,111,16,65,53,43,8,44,41,92
1: 28,69,25,67,63,40,82,60,100,55,112,35,71,22,59,73,61,7,110,45,58,106,27,30,14,101,15,78,31,105,18,29,76,36,83,11,108,86,6,95,4,46,81,24,85,2,89,51,50,94,66,107,47,57,9,80,33,93,21,62,13,99,90,39,12,52,74,42,64,103,75,68,87,19,96,5,32,34,104,37,49,91,77,88,70,54,98,17,10,20,38,97,102,1,3,72,48,84,79,56,109,23,26,111,16,65,53,43,8,44,41,92
1: 28,69,25,67,63,40,60,82,55,112,100,71,35,73,110,22,59,61,7,45,58,27,30,101,78,31,106,14,105,18,15,29,36,76,83,108,86,11,6,46,95,4,24,81,85,89,2,51,50,94,93,66,107,47,57,9,80,33,62,21,13,99,90,39,74,12,52,42,64,103,75,68,87,19,96,5,32,34,104,37,49,91,88,77,70,54,98,10,20,38,97,17,102,1,3,72,48,84,79,56,109,23,26,111,16,65,53,43,8,44,41,92
1: 28,25,69,63,67,82,55,40,35,100,112,73,7,60,59,22,45,58,105,101,61,30,110,78,15,83,95,106,36,24,4,27,71,31,29,94,108,18,6,51,47,76,14,81,2,11,50,80,89,66,46,33,86,9,12,57,90,99,107,13,42,52,85,93,39,74,68,62,64,87,103,21,19,96,75,1,49,32,37,70,77,104,88,34,5,48,38,56,84,3,79,109,102,10,20,23,72,17,98,97,91,111,16,26,41,53,54,44,8,65,92,43
1: 28,63,60,69,67,89,22,82,18,86,30,52,45,57,99,25,7,59,35,11,96,31,87,103,66,4,100,61,13,74,101,15,83,64,106,107,68,71,33,55,73,17,50,46,90,76,75,27,80,41,36,40,24,93,84,81,56,105,8,58,26,19,12,78,53,37,48,14,6,112,21,79,108,20,62,70,29,88,95,51,77,109,111,47,9,2,39,1,16,32,54,43,72,94,104,10,85,38,23,98,3,42,34,49,110,5,65,44,102,92,91,97
1: 28,63,60,67,69,86,89,52,45,99,87,22,82,18,61,57,68,25,7,73,71,59,35,30,46,50,11,96,31,40,103,4,100,74,15,83,106,12,33,58,78,108,112,21,111,17,90,29,95,76,47,39,27,80,2,1,36,72,24,93,13,66,101,107,81,64,56,55,105,51,75,26,19,53,37,6,41,88,84,14,109,62,9,48,8,32,70,20,77,79,16,94,54,104,38,85,43,10,5,42,98,3,23,34,110,49,65,44,102,92,97,91
1: 28,63,89,60,69,67,86,87,22,18,45,7,99,59,82,35,96,27,100,52,74,15,83,33,90,46,68,25,80,40,71,13,95,30,61,19,101,58,73,78,112,107,64,11,50,103,2,57,84,1,108,42,29,31,106,94,77,32,4,14,70,66,12,51,21,47,39,49,55,111,76,17,75,41,36,24,93,72,81,56,62,105,6,26,8,53,48,20,79,3,109,9,37,110,16,38,88,5,104,43,85,10,98,23,34,65,44,92,54,102,97,91
1: 28,63,60,67,69,25,22,89,82,86,7,99,59,52,45,35,100,15,18,68,83,61,103,30,66,11,27,87,96,71,31,57,13,40,73,107,74,64,33,101,4,19,76,55,90,50,46,80,106,36,51,112,58,84,47,95,105,41,75,81,17,93,32,37,12,14,29,78,48,77,109,6,26,56,111,2,49,108,21,53,8,70,39,1,88,24,62,9,94,20,43,72,16,79,42,110,3,38,85,10,65,104,54,34,44,23,98,5,102,91,97,92
1: 63,60,28,69,22,100,25,86,35,82,67,71,7,89,59,83,15,27,13,95,40,99,45,57,11,101,112,33,107,58,29,19,80,73,52,90,14,81,46,18,51,61,50,68,106,105,78,2,12,39,30,93,37,103,96,31,77,87,47,66,76,48,74,36,24,1,55,108,111,64,6,4,21,84,32,41,9,94,49,109,110,70,3,85,56,42,17,102,98,72,75,79,38,26,62,53,5,20,23,104,88,10,8,16,44,34,65,54,43,92,97,91
1: 69,63,25,28,35,60,100,22,86,71,89,7,82,67,112,59,106,45,57,99,33,27,51,15,55,58,50,78,46,4,40,107,105,61,90,83,29,11,39,68,73,96,13,14,18,24,30,108,81,95,80,2,12,19,56,52,101,103,87,76,66,74,93,32,37,110,31,1,6,36,79,42,48,94,102,84,77,47,38,9,21,64,111,41,70,109,88,49,3,85,72,26,10,17,34,62,98,75,65,104,8,5,20,53,23,16,97,44,92,54,43,91
1: 69,25,28,63,35,100,112,60,22,106,67,59,27,29,40,7,86,71,55,33,82,50,61,57,15,105,73,89,58,4,46,51,108,14,95,24,68,12,78,39,45,81,11,99,30,2,83,90,56,94,107,13,66,80,101,76,96,84,110,77,49,6,36,18,19,47,102,3,31,42,1,32,93,85,38,48,87,52,37,21,70,9,62,23,109,74,79,111,103,88,72,10,64,41,5,26,8,34,104,98,53,75,20,17,97,54,44,65,92,16,43,91
1: 100,28,25,69,67,22,35,112,63,27,7,29,59,106,60,55,71,86,82,15,58,61,40,46,50,105,73,51,24,81,14,108,45,33,78,57,94,30,66,11,89,80,4,110,96,36,12,13,68,99,90,18,83,39,101,49,31,2,47,102,56,84,95,1,3,6,76,93,107,42,9,77,48,19,70,85,38,52,37,32,72,88,87,74,21,109,62,23,79,10,34,111,103,64,41,5,98,53,104,26,75,54,97,17,20,92,16,44,8,65,91,43
1: 28,69,25,67,63,112,100,35,22,59,29,55,82,60,86,58,106,105,61,40,7,73,27,81,45,15,71,108,46,57,51,30,89,94,78,14,50,80,4,24,83,11,33,12,31,101,110,66,99,13,36,47,39,6,2,42,49,68,96,52,95,18,90,76,102,32,84,56,19,85,9,62,88,93,87,79,48,1,74,107,70,21,38,77,3,72,37,109,64,104,10,103,111,23,75,34,41,20,53,17,5,98,97,54,26,16,44,91,8,92,65,43
1: 28,69,25,67,35,59,63,22,60,112,82,100,55,40,7,45,73,15,86,78,29,30,106,105,11,58,61,46,51,108,101,27,80,81,50,4,89,71,94,6,24,57,33,14,110,83,66,99,18,31,47,12,95,76,9,13,42,68,36,2,87,90,39,62,21,19,52,49,107,84,64,32,96,103,70,74,48,102,79,88,56,1,3,85,34,93,104,77,37,38,109,20,72,5,75,97,10,23,16,17,111,41,53,26,44,98,65,91,8,92,54,43
1: 28,69,25,67,82,112,63,35,40,60,55,100,59,7,73,45,22,86,61,105,29,58,78,30,106,51,46,11,4,15,80,81,71,83,50,94,101,27,57,89,108,66,6,110,14,95,24,9,47,31,76,12,13,36,2,33,18,99,42,64,68,87,21,93,39,52,62,103,90,107,19,74,84,32,88,48,70,96,102,49,1,75,85,79,38,77,56,37,109,3,34,72,104,20,23,5,10,97,111,16,17,41,98,53,26,44,65,91,8,92,54,43
1: 69,28,67,25,82,63,100,60,55,112,40,35,22,59,45,15,78,7,73,58,30,61,46,105,106,86,110,101,71,51,4,95,29,14,6,66,27,80,108,47,24,11,94,89,83,31,9,18,57,81,36,76,2,50,13,12,33,99,42,21,52,90,103,87,74,107,68,64,85,19,96,93,62,39,75,49,70,77,1,48,34,37,88,32,104,56,3,38,5,109,84,79,102,17,20,72,23,97,10,111,16,91,98,41,53,54,44,26,8,65,92,43
1: 28,25,67,69,63,82,100,112,55,22,40,35,60,45,73,7,59,105,30,15,78,106,61,58,101,110,29,95,71,14,46,51,6,18,4,24,86,27,83,11,94,108,81,76,47,89,31,66,80,2,36,50,33,90,9,57,12,107,99,13,52,42,85,87,39,68,62,21,74,103,93,64,96,19,37,75,32,49,1,77,104,70,88,34,5,48,3,38,56,84,109,79,17,20,102,23,10,98,72,91,97,111,16,26,41,53,54,44,8,65,92,43
1: 28,25,67,69,63,82,100,112,55,40,35,60,22,7,73,59,30,106,45,105,58,15,61,101,110,27,78,29,95,71,14,18,6,51,4,11,31,94,83,24,108,36,76,81,47,46,86,2,66,89,80,50,33,9,57,12,90,107,39,13,99,52,42,85,21,87,62,68,74,93,64,103,96,19,75,37,32,1,49,77,70,104,88,34,5,48,38,3,56,84,109,79,17,102,20,10,23,98,72,91,97,111,16,26,53,41,54,44,8,65,92,43
1: 28,25,67,69,63,82,112,55,40,100,35,60,73,22,7,59,30,45,105,58,110,61,106,101,27,15,71,78,29,95,18,51,6,4,31,14,11,83,94,24,108,36,46,76,47,81,86,2,66,89,80,50,33,9,12,57,39,90,13,107,99,52,42,93,85,74,87,62,21,68,103,64,19,96,37,75,32,1,49,77,70,104,88,34,5,48,38,3,56,84,109,79,102,20,10,23,72,17,98,97,91,111,16,26,53,41,54,44,8,65,92,43
1: 28,25,69,63,67,40,55,82,100,35,112,60,59,7,73,45,58,22,101,105,110,83,71,106,36,78,30,27,76,11,18,61,24,31,4,15,108,29,6,95,14,2,89,51,85,80,33,94,50,66,13,12,99,46,86,81,47,93,90,62,9,57,52,21,107,74,42,19,39,64,87,103,68,5,75,1,96,32,49,88,70,48,10,38,104,54,77,37,102,91,34,84,98,56,17,97,79,23,20,3,72,109,16,111,41,26,53,65,43,8,44,92
1: 28,63,69,60,22,89,67,25,18,99,59,86,87,82,57,35,45,30,11,100,4,96,31,106,52,7,51,66,83,103,55,107,13,46,101,33,27,73,36,71,76,74,68,64,40,17,80,112,37,61,15,75,41,19,50,78,53,84,105,93,32,90,81,109,58,48,24,14,79,8,2,56,62,6,70,26,29,12,21,77,111,20,39,95,16,9,1,92,47,38,108,54,88,49,104,94,85,72,43,10,5,42,98,3,102,23,34,110,65,44,91,97
1: 28,63,69,60,22,89,67,25,18,99,59,86,87,82,30,57,35,45,11,52,100,4,96,31,106,7,66,83,103,55,107,13,51,46,101,33,27,73,36,71,76,74,68,64,40,17,80,112,37,61,15,75,41,19,50,78,53,84,105,93,90,81,109,58,48,24,32,14,79,8,2,56,62,6,70,26,29,12,21,77,111,20,39,95,16,9,1,92,47,38,108,54,88,49,104,94,85,72,43,10,5,42,98,3,102,23,34,110,65,44,91,97
1: 28,63,69,60,22,89,67,25,18,99,86,87,59,82,57,45,35,30,11,52,100,4,96,31,106,7,83,103,73,46,51,66,33,27,13,55,71,101,68,36,76,40,107,74,17,112,61,80,64,37,50,78,15,19,53,105,2,41,93,75,90,81,58,109,84,14,24,32,21,62,29,79,12,48,56,6,26,8,111,70,39,95,1,77,20,9,47,16,108,92,72,38,54,5,88,49,104,94,85,42,43,10,98,3,23,102,34,110,65,44,91,97
1: 63,28,69,60,67,89,22,25,59,18,99,87,86,82,35,45,100,11,57,96,106,30,4,52,7,31,83,46,71,101,13,73,66,51,27,103,33,68,107,55,74,76,40,36,64,112,80,78,19,15,17,61,2,58,75,37,84,50,32,90,14,29,21,105,53,93,24,41,109,81,48,70,6,62,12,39,26,56,77,79,111,8,108,95,1,20,72,9,54,47,16,92,94,49,42,38,5,85,88,104,3,43,110,10,23,102,98,34,65,44,91,97
1: 63,69,28,60,67,22,25,59,89,99,86,82,45,35,87,18,100,11,57,7,106,52,83,31,96,13,55,4,30,73,71,27,51,68,66,107,101,46,103,76,40,33,112,36,74,15,61,17,64,80,37,29,19,78,14,105,2,58,109,84,41,50,93,32,81,75,21,90,24,48,39,53,6,12,111,70,77,95,62,108,26,9,56,54,79,47,1,8,20,72,42,85,94,16,38,49,92,110,5,88,43,3,104,98,102,10,23,65,34,44,91,97
1: 63,28,69,60,22,67,25,86,89,59,35,100,99,82,11,45,57,87,71,18,106,27,83,7,13,51,31,4,30,101,96,55,107,40,52,112,46,33,76,73,68,66,36,15,80,103,14,37,74,105,61,19,2,50,93,81,78,29,90,64,17,39,58,48,32,41,12,84,24,6,21,109,95,75,108,77,53,1,111,70,62,79,56,54,85,9,47,26,110,38,20,8,72,94,98,42,49,16,3,92,5,102,43,10,88,104,23,65,34,91,44,97
1: 63,60,28,69,22,25,86,67,35,89,100,99,59,11,82,45,71,57,7,106,51,55,18,83,27,13,112,87,4,46,96,30,33,107,101,31,15,73,40,68,52,76,66,105,50,61,36,103,78,14,29,80,90,58,19,74,37,2,32,81,93,39,24,108,12,64,17,6,84,48,21,109,95,41,77,79,110,56,70,53,75,1,62,38,85,9,54,111,26,42,47,20,72,49,102,94,10,98,88,16,8,92,3,5,104,43,34,23,65,91,44,97
1: 63,60,28,69,22,25,35,100,67,59,86,89,71,82,11,106,99,7,57,112,45,55,51,27,33,30,46,13,4,101,40,83,73,31,61,68,18,96,29,76,87,50,107,66,36,15,14,52,108,105,58,24,81,12,80,78,90,103,2,74,19,6,32,95,37,93,39,64,77,21,62,48,56,84,109,17,41,54,85,110,1,70,47,79,94,53,9,42,75,38,10,49,26,102,111,3,20,8,98,72,5,16,88,23,92,104,43,34,65,91,97,44
1: 28,63,69,60,22,100,25,35,67,59,86,71,7,82,106,45,55,27,89,99,11,51,46,30,57,13,112,101,31,29,33,73,61,18,40,14,96,15,4,50,66,36,83,87,68,81,105,76,24,80,78,108,107,58,52,12,90,2,74,19,103,95,6,93,32,37,85,54,39,64,110,47,21,77,94,84,1,70,17,56,9,48,62,109,49,102,42,79,41,38,10,72,53,75,3,26,98,88,111,5,20,16,8,34,23,104,92,91,43,65,97,44
1: 63,28,69,60,25,67,35,22,100,59,82,45,71,86,55,7,89,106,112,27,11,73,57,30,61,99,40,46,31,51,15,13,4,101,81,83,33,29,105,108,14,80,87,18,96,58,36,66,50,76,24,52,68,12,78,6,95,107,2,74,93,32,47,19,64,94,85,110,90,62,21,54,39,103,37,48,42,17,77,84,70,9,49,79,1,56,102,38,109,41,88,72,10,75,53,3,20,98,5,111,26,91,16,104,8,34,23,92,43,97,65,44
1: 28,69,63,100,25,60,59,67,35,82,112,55,22,108,15,45,40,73,7,71,105,46,61,89,27,11,57,106,80,29,86,99,51,101,81,4,30,50,14,58,110,31,33,13,83,6,78,36,95,12,66,18,76,85,24,21,47,94,87,96,42,62,52,90,107,2,74,64,19,68,9,39,49,93,77,54,79,32,88,102,103,48,1,56,70,17,5,10,75,38,37,72,104,84,91,109,3,97,23,20,98,16,41,111,34,53,65,26,8,43,92,44
1: 28,60,69,25,59,82,63,67,35,40,100,55,15,112,108,7,45,22,73,11,71,78,106,105,30,61,101,86,27,110,29,80,6,46,14,31,51,13,95,89,76,57,50,81,4,58,99,47,83,36,33,94,24,12,18,21,85,66,62,2,9,87,64,19,68,42,52,90,74,96,107,49,93,77,88,39,5,103,70,32,54,102,48,75,1,37,79,84,97,17,72,109,3,34,56,10,38,91,20,104,23,16,111,98,41,65,53,26,44,43,8,92
1: 69,28,25,60,82,67,59,63,100,35,7,55,112,73,40,45,15,61,108,71,110,105,11,106,22,29,30,86,51,31,6,27,78,101,13,83,95,4,76,89,14,80,46,58,50,81,57,47,36,94,66,24,2,18,9,99,33,64,21,12,85,62,42,87,52,74,19,75,68,88,93,107,103,90,77,102,5,49,96,70,54,39,1,48,32,97,38,37,23,72,84,109,10,17,34,20,79,56,91,98,104,3,111,16,41,65,43,26,53,44,8,92
1: 69,25,28,60,82,67,63,100,35,55,59,112,45,73,71,15,7,110,40,22,61,106,78,108,30,105,4,14,11,101,58,51,6,95,29,31,27,83,66,18,86,76,46,13,89,47,36,80,2,24,57,21,9,81,94,85,50,33,12,74,52,99,42,62,93,64,87,107,19,75,103,68,88,90,54,96,77,70,102,49,5,48,39,10,34,38,17,32,104,97,37,1,84,23,91,56,109,72,20,79,3,98,111,16,41,65,43,53,44,26,8,92
1: 25,69,63,67,28,60,82,55,100,35,112,40,73,22,59,45,71,7,110,105,61,15,101,11,106,30,14,78,76,108,18,4,58,29,83,27,95,51,6,31,24,2,46,81,94,36,47,80,85,33,86,89,66,13,50,12,21,9,57,107,99,62,52,93,74,42,90,64,19,103,87,75,68,39,5,88,96,32,49,54,77,104,70,48,10,102,37,38,91,34,1,98,17,97,84,56,20,23,3,79,109,72,111,16,41,26,53,65,43,8,44,92
1: 25,69,67,28,63,60,100,82,40,55,35,112,7,59,73,22,71,58,45,106,27,30,110,105,101,61,11,15,78,18,14,76,31,29,36,108,4,83,95,24,51,6,2,89,80,85,94,86,46,66,81,47,33,13,12,99,50,9,90,21,57,107,62,52,39,93,42,74,19,64,87,103,75,68,5,96,88,1,32,49,70,48,54,77,104,10,37,102,38,91,34,98,84,17,56,97,3,20,23,79,109,72,16,111,41,26,53,65,43,8,44,92
1: 25,28,67,69,63,60,100,82,40,55,35,112,73,7,59,22,71,110,58,45,30,106,27,105,101,61,11,18,78,15,76,31,108,29,36,4,14,83,95,51,6,24,89,2,80,85,94,86,46,66,13,81,47,33,12,99,93,50,9,90,21,62,57,107,52,74,39,42,19,64,87,103,75,68,5,96,1,88,32,54,49,70,104,48,77,10,37,102,38,91,34,98,84,17,97,56,3,23,20,72,79,109,16,111,41,26,53,65,43,8,44,92
1: 28,25,69,67,63,40,55,100,35,82,112,60,59,22,7,45,58,78,105,73,31,101,106,83,27,4,36,24,30,76,95,6,110,51,71,80,15,29,11,2,89,33,61,18,50,94,14,12,81,90,46,47,68,86,42,66,13,52,85,99,57,103,93,108,74,39,9,19,62,96,32,107,87,5,70,75,49,1,37,38,34,48,104,21,109,64,10,77,3,84,56,16,79,88,102,23,20,17,72,53,26,111,41,91,98,8,97,44,92,54,43,65
1: 63,100,25,28,59,60,69,22,7,35,71,27,78,89,99,67,82,112,15,4,55,33,57,40,58,90,50,14,86,105,46,24,18,39,30,80,95,76,45,81,106,12,68,19,83,77,11,2,13,73,29,96,21,101,31,6,51,52,110,42,94,1,74,87,37,49,85,103,32,47,5,36,61,108,34,79,56,70,38,9,107,109,64,93,3,41,111,104,98,44,16,20,26,23,65,84,62,53,72,48,102,17,54,10,75,88,92,66,8,43,91,97
1: 63,28,100,60,69,59,67,35,112,71,40,25,7,27,106,22,33,15,82,55,89,50,78,29,24,57,4,68,12,76,95,86,105,14,58,30,99,61,31,83,46,18,90,77,45,81,96,80,2,94,51,73,11,6,101,56,13,19,110,39,47,36,21,37,85,49,52,3,108,109,74,5,1,87,32,23,42,70,64,54,62,38,9,103,34,93,79,26,41,104,53,48,107,44,66,10,20,111,16,65,102,72,98,84,17,75,8,88,92,91,43,97
1: 100,67,28,63,7,60,71,59,35,22,112,69,27,55,25,15,82,40,29,106,89,24,81,50,14,31,105,86,33,58,78,57,18,96,46,45,99,61,90,95,80,94,30,4,68,47,73,36,83,51,12,110,76,13,101,11,108,77,56,2,49,85,6,37,74,66,1,52,3,19,9,42,109,39,21,87,70,23,64,54,5,93,72,32,103,34,38,102,48,111,10,98,53,84,104,16,62,79,41,26,44,17,107,8,88,75,92,20,65,91,97,43
1: 67,63,28,100,59,69,82,112,35,60,25,55,40,7,22,15,105,58,81,29,71,45,89,27,31,57,61,78,86,80,106,24,73,14,30,33,4,46,94,96,83,99,51,6,52,95,11,50,12,110,47,36,18,108,101,13,76,19,2,68,85,49,90,42,77,87,74,56,1,109,21,39,32,64,62,3,9,66,70,37,103,93,48,38,79,5,72,104,88,17,84,102,23,53,44,41,10,75,107,111,34,16,20,54,8,26,92,91,98,97,65,43
1: 67,28,63,69,100,59,25,82,60,112,35,40,55,22,15,7,105,45,89,29,81,80,78,58,31,57,46,24,27,99,71,6,4,73,61,101,33,86,51,50,106,30,11,110,14,94,83,12,95,18,76,36,52,47,90,96,68,108,42,19,2,87,13,49,77,85,74,39,21,66,9,56,64,103,1,79,62,109,32,104,107,48,93,5,3,88,37,38,70,53,72,75,102,84,34,23,17,16,20,41,10,44,111,26,8,91,54,92,65,97,98,43
1: 67,28,69,59,40,63,60,100,25,82,35,15,7,22,45,112,78,55,105,11,6,31,58,101,30,89,80,46,29,24,73,27,106,4,71,81,86,99,95,61,76,51,57,50,33,110,94,14,47,83,12,90,36,13,19,108,68,18,87,2,52,9,42,66,103,21,96,49,64,62,74,109,39,77,32,1,85,56,5,3,37,48,70,93,34,79,107,88,104,20,84,75,38,72,16,102,10,53,17,23,44,41,111,26,8,92,91,97,65,98,54,43
1: 67,69,28,25,40,63,100,82,60,59,7,35,78,112,45,55,22,105,15,31,58,30,73,106,6,29,101,80,4,11,89,46,61,51,71,83,86,81,76,27,24,110,57,95,94,14,99,50,13,9,36,47,33,12,2,66,68,52,90,18,19,108,87,42,103,74,64,21,93,62,75,96,1,109,85,32,49,77,5,39,56,88,48,107,37,70,34,3,84,38,20,72,104,102,79,17,10,16,23,53,111,41,8,44,26,92,91,98,97,65,54,43
1: 67,25,63,69,28,100,40,112,82,55,22,35,60,45,59,7,78,105,58,73,106,30,4,31,24,71,76,101,6,29,18,51,83,27,110,15,89,14,46,95,80,61,2,33,11,86,36,94,81,47,90,52,12,99,42,50,57,13,87,85,68,66,103,108,74,39,9,96,93,19,107,32,62,37,5,64,49,75,1,34,56,70,104,38,109,77,84,48,3,21,88,20,17,16,79,10,23,102,53,72,8,41,111,26,44,91,92,97,98,54,65,43
1: 25,67,63,69,28,100,40,55,112,82,35,60,22,106,59,7,58,45,27,78,105,31,73,30,110,4,76,101,71,6,18,24,83,29,36,51,14,89,95,61,15,2,80,11,33,94,81,46,86,47,52,12,90,50,99,42,13,57,39,85,66,68,108,74,93,103,87,9,96,19,32,107,62,5,75,1,64,37,49,70,34,56,77,109,38,104,21,84,48,3,88,20,16,10,79,23,102,17,53,72,8,111,41,26,44,91,92,97,98,54,65,43
1: 28,67,25,69,63,40,100,55,35,112,82,60,22,59,7,27,78,45,105,106,58,30,73,31,4,76,101,110,6,71,18,24,51,83,36,29,11,95,15,80,2,61,89,46,33,14,86,81,94,50,47,12,90,68,66,42,52,13,85,39,93,57,99,108,103,74,9,62,32,96,87,107,19,5,75,70,37,49,1,34,38,21,48,104,109,3,64,77,10,84,56,16,88,102,79,23,17,20,72,53,111,26,98,41,91,8,97,44,92,54,43,65
1: 28,69,25,63,67,35,82,60,55,40,100,73,112,59,45,58,30,7,61,101,71,36,15,22,110,18,106,4,105,27,89,78,83,14,11,66,94,31,86,50,76,29,108,24,6,80,51,2,47,13,95,107,81,33,46,9,57,99,90,93,64,74,85,21,52,12,1,42,87,19,103,62,68,70,39,77,32,75,49,37,96,34,48,88,5,3,38,91,109,104,56,84,72,102,10,17,23,79,54,20,97,98,26,53,111,16,41,44,65,43,92,8
1: 63,60,22,89,27,90,87,78,42,94,95,71,2,21,19,86,46,68,82,112,45,49,58,108,100,76,69,40,72,11,7,6,28,35,18,83,74,33,106,15,59,80,14,67,1,96,73,99,101,84,29,47,77,61,54,12,52,13,30,107,39,32,110,50,5,70,62,75,111,3,64,26,56,48,55,51,85,103,17,23,36,43,88,24,109,93,98,105,104,34,79,92,9,57,4,31,65,25,81,10,38,41,20,16,66,37,8,53,97,91,102,44
1: 63,60,67,27,22,100,49,35,45,25,7,40,71,76,28,99,82,59,86,83,69,95,13,112,11,68,15,73,29,14,106,21,78,19,2,89,46,110,58,101,87,74,42,107,1,55,12,54,109,72,6,108,105,9,52,30,47,80,103,61,81,17,37,77,36,39,31,32,111,94,66,90,51,33,43,18,48,84,3,65,50,93,41,5,70,4,64,62,75,98,96,57,26,20,34,56,88,102,16,79,85,24,38,10,91,23,97,53,8,92,44,104
1: 63,60,28,22,40,71,100,27,25,82,15,67,95,69,35,86,76,59,11,14,80,83,112,106,2,12,78,7,13,81,19,99,29,46,89,21,105,110,50,57,58,49,68,33,1,101,30,45,108,107,51,55,90,73,85,39,61,36,93,6,37,77,31,48,94,24,74,72,43,18,102,52,9,54,47,32,109,87,42,98,111,3,38,17,41,70,66,5,103,4,84,65,64,96,62,97,16,20,91,75,56,26,88,10,79,104,53,8,34,23,92,44
1: 63,82,100,22,60,71,69,40,27,28,35,15,25,67,112,86,106,7,14,59,78,89,99,11,108,55,105,50,58,46,57,33,29,45,90,95,19,30,110,68,2,12,21,107,24,76,4,61,83,73,51,39,13,80,42,81,101,32,49,37,36,1,102,18,6,38,96,94,72,52,85,74,31,47,93,54,70,9,109,77,48,103,17,98,87,79,88,43,66,5,56,3,111,64,97,84,62,41,10,34,75,16,53,20,65,26,91,104,92,8,23,44
1: 63,60,28,69,100,40,67,71,27,22,112,35,59,15,25,82,106,7,29,86,108,61,14,55,89,33,24,95,57,50,30,4,68,105,12,73,76,94,2,46,11,110,78,99,58,51,45,90,83,19,36,13,101,81,31,21,6,54,49,107,32,47,80,85,96,56,39,42,18,1,37,66,77,3,52,62,70,102,93,74,5,9,38,109,10,98,72,64,48,87,88,84,103,23,17,97,79,41,53,111,34,75,20,16,26,104,43,8,91,65,92,44
1: 100,28,67,63,60,71,69,27,15,7,22,112,59,82,35,25,40,55,108,86,29,14,61,24,106,50,30,89,105,94,58,46,33,78,73,45,99,57,31,81,110,36,51,11,95,68,76,80,18,2,13,4,66,90,12,47,96,83,54,101,85,21,49,19,70,9,6,42,1,37,107,56,32,72,52,3,102,77,93,74,39,98,64,10,109,48,62,88,38,87,5,103,84,97,17,91,34,23,79,111,53,41,75,26,16,104,8,20,43,65,92,44
1: 28,63,67,100,69,82,59,112,60,25,15,35,71,22,40,55,105,61,108,7,27,29,73,86,81,58,89,30,45,14,94,57,106,24,78,46,31,50,80,33,83,51,12,110,4,11,95,36,99,13,47,76,6,49,2,52,96,101,66,85,68,18,21,42,19,62,64,90,9,74,70,32,54,88,93,1,77,87,107,39,72,56,102,3,37,48,79,38,109,10,91,103,98,97,84,17,75,5,104,111,34,41,20,53,23,16,26,65,43,92,8,44
1: 28,67,63,69,25,82,59,100,60,15,112,35,40,22,105,55,61,73,7,71,45,89,108,46,29,81,30,27,57,14,24,78,50,58,86,110,80,99,94,83,106,11,51,6,33,101,21,31,95,12,4,66,36,47,13,76,18,9,2,62,64,42,49,107,90,85,19,52,87,74,68,96,93,39,88,77,32,79,103,1,104,54,48,72,70,56,102,97,37,91,109,38,10,17,3,5,75,84,34,23,16,98,111,20,53,41,65,26,43,92,8,44
1: 28,67,69,60,82,59,25,63,40,15,35,112,55,22,100,73,7,30,45,11,61,105,86,78,71,29,27,108,89,110,94,46,14,106,58,101,31,6,24,80,81,21,50,76,95,4,47,13,51,12,36,57,83,99,33,66,9,64,18,2,19,87,62,85,42,52,107,74,49,90,88,68,93,103,70,32,77,1,48,39,102,96,37,109,97,72,3,5,56,17,34,104,79,54,75,84,91,10,20,38,16,23,111,41,53,98,65,26,44,43,92,8
1: 69,28,25,67,60,82,59,40,63,35,100,55,45,7,73,61,112,15,78,30,86,71,22,4,105,11,27,101,29,58,80,89,94,46,106,66,6,36,9,110,51,108,83,14,24,31,50,13,57,18,76,81,99,47,95,2,21,87,64,52,19,33,90,12,68,74,1,42,103,49,77,70,107,62,93,75,32,37,109,48,88,85,34,56,96,3,72,39,38,5,102,84,23,104,17,91,10,20,79,97,53,98,111,16,54,26,44,41,65,43,92,8
1: 69,25,28,67,82,63,60,35,100,55,59,40,73,45,112,61,71,30,86,7,22,15,78,58,27,66,110,4,101,46,106,105,14,89,11,18,29,80,36,6,51,94,13,108,9,76,57,21,31,83,47,24,50,2,81,95,33,12,99,87,52,107,74,64,103,90,19,42,85,70,1,77,68,93,49,75,62,48,37,32,96,88,34,39,3,109,102,56,5,38,17,72,84,104,23,10,91,54,79,97,20,53,111,16,98,41,26,44,65,43,92,8
1: 25,69,28,67,63,60,82,35,100,55,40,112,73,59,45,22,71,30,61,7,58,15,101,86,18,110,106,78,4,14,27,89,105,11,66,29,46,36,94,76,6,51,108,80,31,24,83,2,13,47,81,50,107,95,57,33,9,99,21,90,52,87,74,64,85,12,42,103,19,93,62,1,68,32,39,77,37,70,75,49,48,96,34,88,3,5,91,84,38,109,104,56,17,72,102,10,23,79,20,98,54,26,97,53,16,111,41,44,65,43,92,8
1: 25,69,28,63,67,60,82,35,100,55,40,112,73,59,30,71,61,45,58,7,27,22,15,101,106,18,110,36,14,4,89,105,11,86,78,66,29,31,94,76,6,51,108,46,80,2,47,83,13,24,50,107,81,95,57,33,9,21,99,90,52,74,64,85,12,87,1,42,93,103,19,62,39,68,77,32,70,37,75,96,49,48,34,88,3,5,91,109,38,84,104,17,56,72,102,10,23,79,20,54,98,97,26,53,16,111,41,44,65,43,92,8
1: 25,69,28,67,63,60,35,82,55,40,73,100,112,59,30,71,61,45,58,27,110,7,22,101,15,18,106,36,4,89,11,14,86,105,78,66,29,31,94,76,6,51,108,46,80,2,83,13,47,24,50,107,81,95,33,57,9,21,99,93,90,52,74,64,85,12,87,1,42,103,19,62,39,68,77,32,70,37,75,49,96,48,34,88,3,5,91,109,38,84,104,72,56,102,17,10,23,79,20,54,98,97,53,26,16,111,41,44,65,43,92,8
1: 28,69,63,25,60,55,67,59,35,82,45,100,112,11,7,22,40,73,30,27,101,110,106,105,89,4,83,18,31,76,36,24,99,58,86,2,61,46,33,71,80,78,93,94,13,6,51,66,52,29,87,50,12,85,14,19,81,15,57,107,108,96,42,90,74,62,21,95,64,39,48,1,9,103,68,37,70,49,32,38,47,109,84,75,56,17,79,88,41,53,77,16,10,3,102,5,104,20,54,91,98,34,72,26,23,111,97,92,8,43,44,65
1: 63,28,60,69,67,45,22,89,86,99,59,25,18,35,87,52,30,82,11,96,31,7,4,83,27,100,71,55,73,33,57,46,17,101,103,40,36,76,51,13,66,112,80,106,68,93,105,24,12,50,109,78,19,2,61,74,81,6,41,37,56,39,53,90,1,107,54,84,79,58,70,29,21,64,48,9,14,62,49,75,108,94,95,32,20,16,38,8,15,42,111,85,47,26,92,72,88,77,3,104,10,110,98,23,65,34,102,5,43,91,44,97
1: 63,28,69,60,67,89,59,45,99,22,86,35,25,87,96,18,82,7,46,100,11,30,83,27,101,52,71,33,4,13,55,31,73,19,40,110,57,76,112,17,66,103,2,80,78,74,68,36,106,24,51,6,12,93,29,109,107,90,58,14,84,70,1,50,54,39,105,61,41,94,108,21,64,42,15,81,49,32,37,53,56,48,62,9,75,95,79,85,20,77,16,26,3,72,47,8,38,111,92,104,88,98,10,23,102,5,43,91,34,65,97,44
1: 63,28,69,60,67,59,25,45,22,86,35,99,55,11,89,7,27,87,100,82,83,13,18,112,101,52,30,40,46,71,33,31,66,73,19,4,51,96,110,57,76,17,36,109,2,68,103,24,106,93,29,78,105,74,80,12,107,14,39,41,6,61,58,37,84,81,54,108,50,1,9,64,48,42,15,90,49,70,21,94,32,56,53,85,95,75,79,77,20,62,38,111,26,16,47,3,8,72,88,92,98,102,10,104,23,5,43,65,34,91,97,44
1: 63,28,25,69,22,60,67,35,59,45,11,86,27,55,99,89,100,7,40,82,87,112,101,13,30,71,33,83,106,46,51,31,18,12,52,57,80,76,93,4,110,96,2,19,36,24,73,78,107,105,66,17,29,50,6,1,39,85,37,103,81,68,58,14,90,109,74,48,61,41,108,15,49,94,42,64,84,70,21,95,32,9,54,53,38,56,62,77,79,75,3,47,98,20,111,16,26,72,102,88,10,92,8,104,5,43,23,65,91,97,34,44
1: 63,28,69,25,60,22,35,67,11,59,86,55,99,45,27,82,100,7,89,112,40,33,106,110,46,13,30,4,18,71,87,101,51,96,78,83,31,12,57,52,76,24,105,2,50,36,29,19,93,80,73,107,66,6,58,61,68,39,108,109,15,103,81,14,17,90,1,74,85,32,37,48,42,49,94,70,84,41,95,9,56,38,21,79,64,53,54,62,77,75,20,3,10,47,88,16,26,111,98,72,102,92,104,23,5,43,8,97,65,34,91,44
1: 63,28,69,25,60,22,67,35,59,55,100,11,27,40,86,45,7,112,99,82,106,89,33,30,46,13,110,101,71,4,24,51,12,29,76,31,18,73,57,83,52,2,66,87,50,105,36,61,96,108,6,93,78,19,58,80,68,94,81,15,107,14,85,1,74,39,109,32,90,42,49,48,56,95,70,103,62,37,41,17,21,38,9,54,84,64,77,53,79,3,47,10,75,20,26,16,98,102,88,23,104,111,72,5,8,92,43,65,97,34,91,44
1: 63,28,69,25,67,60,22,59,35,55,100,27,7,45,82,11,86,112,30,99,106,40,89,46,33,110,18,24,13,31,101,51,71,29,73,105,66,76,36,4,83,52,12,94,61,57,87,2,50,96,108,81,80,15,78,14,58,93,68,6,85,19,107,1,32,42,74,90,70,49,109,39,103,17,21,56,37,48,9,95,54,84,38,64,62,41,47,77,53,3,79,10,75,26,98,88,102,16,23,20,72,104,91,111,8,5,34,92,43,97,65,44
1: 63,28,69,67,25,59,60,35,55,22,100,45,27,82,112,11,30,86,40,7,89,99,106,46,105,33,73,101,13,18,24,29,31,71,4,83,51,52,61,80,12,94,58,76,108,81,15,57,66,36,87,2,110,96,78,93,50,6,14,19,85,42,68,32,107,1,49,48,70,109,39,74,21,62,37,64,90,103,95,9,38,56,17,84,47,41,54,79,53,77,88,10,3,75,102,20,16,26,98,72,91,104,111,23,5,8,92,34,43,97,65,44
1: 63,28,69,25,59,67,60,55,35,11,22,45,82,100,27,112,40,89,30,7,99,46,86,105,106,101,18,33,73,24,80,13,4,83,51,29,71,57,76,31,36,12,110,61,87,52,15,108,58,81,66,94,2,78,6,50,93,96,19,14,42,85,107,21,68,48,103,64,74,32,49,39,62,9,90,1,70,95,109,37,56,17,79,38,47,84,41,77,88,10,53,16,75,102,3,104,20,54,26,72,91,23,5,111,98,8,34,92,97,65,43,44
1: 28,63,69,60,59,25,67,55,35,11,82,45,22,30,7,100,40,112,27,86,89,73,105,101,46,99,106,18,31,13,33,110,24,80,76,83,51,29,4,71,78,94,15,87,36,61,52,6,58,2,66,108,12,57,81,93,50,14,19,96,42,103,85,62,21,64,48,9,107,68,74,70,95,39,90,49,32,109,1,84,37,17,47,38,56,79,41,5,3,75,88,77,16,20,10,53,102,72,54,104,91,26,34,23,111,98,97,92,8,65,43,44
1: 69,28,63,60,25,67,59,55,82,11,35,7,45,22,100,112,30,40,27,73,86,89,106,105,110,46,101,18,83,31,99,4,13,76,80,29,24,51,71,61,78,36,94,33,6,87,58,66,52,2,93,12,57,81,15,50,108,14,19,42,64,85,96,21,74,9,103,107,62,48,68,1,70,39,90,95,109,49,37,32,38,84,47,17,75,79,56,88,5,16,41,102,20,3,77,10,53,72,54,91,104,34,26,23,98,111,97,92,8,43,65,44
1: 69,28,63,60,25,67,55,59,82,45,22,35,11,100,7,112,30,40,27,106,86,73,110,18,89,101,4,46,105,99,31,76,83,24,61,51,80,78,66,71,13,58,36,6,33,87,2,52,29,94,12,93,15,14,50,57,81,19,85,108,21,96,107,74,42,9,48,95,64,103,90,62,39,68,1,70,37,109,49,47,38,17,75,32,84,56,79,88,41,77,3,16,102,20,53,10,54,5,104,91,34,72,98,23,26,111,97,92,8,43,65,44
1: 69,63,28,25,67,60,55,59,82,22,35,45,11,112,100,7,30,40,73,106,27,18,110,101,105,86,89,4,76,46,31,24,83,99,61,71,2,51,58,36,6,33,80,52,87,94,78,66,13,29,93,14,12,85,50,15,81,19,57,107,108,96,21,42,74,90,39,95,62,64,48,9,103,68,1,37,32,70,49,38,47,109,17,84,75,56,88,79,41,53,3,77,16,10,102,20,5,104,54,91,98,34,26,72,23,111,97,92,8,43,65,44
1: 69,63,28,25,60,67,55,59,82,35,11,112,45,22,100,30,7,27,40,73,106,110,101,105,18,89,4,76,31,86,83,99,36,24,46,71,61,2,51,58,6,80,33,78,13,94,52,29,66,93,14,87,12,85,50,15,81,19,57,107,108,96,21,42,39,90,74,62,95,48,64,9,1,103,68,37,32,70,49,47,38,109,17,84,75,56,88,79,41,53,77,3,16,10,102,20,5,104,54,91,98,34,26,72,23,111,97,92,8,43,65,44
1: 28,69,63,25,60,67,55,59,82,35,11,112,45,100,22,30,7,27,73,40,110,106,101,18,105,89,4,76,31,86,83,36,99,24,46,71,61,2,51,58,6,93,80,33,13,78,52,94,66,29,87,12,85,14,50,19,81,15,57,107,108,96,21,42,39,74,90,62,95,48,64,9,1,103,68,37,32,70,49,38,47,109,84,75,56,17,88,79,41,53,77,3,16,10,102,20,104,5,54,91,98,72,34,26,23,111,97,92,8,43,44,65
1: 63,67,28,25,100,112,40,69,55,7,58,82,45,59,83,35,73,78,22,105,60,18,71,4,36,30,81,33,15,9,57,101,27,24,107,61,31,29,14,89,62,99,106,66,2,110,50,46,90,6,51,76,95,80,86,94,74,32,39,52,104,47,103,96,85,11,108,13,42,68,37,93,21,75,98,12,34,84,49,19,87,64,79,3,77,72,20,5,26,91,88,97,38,1,70,54,56,102,17,48,109,23,16,111,10,65,8,43,41,53,44,92
1: 25,60,22,100,27,35,7,95,76,63,45,71,67,37,89,40,109,82,83,49,86,46,15,59,112,99,73,42,68,14,29,78,21,13,103,19,69,11,28,2,52,32,106,47,58,87,81,9,72,110,107,61,3,90,84,77,12,105,74,94,1,51,111,54,108,39,36,43,17,50,48,6,93,18,80,101,33,30,96,66,55,31,75,62,5,41,70,64,65,98,23,10,91,57,85,38,88,24,79,53,16,97,8,56,102,44,92,104,26,34,20,4
1: 71,60,100,63,86,22,95,25,27,15,28,35,40,82,19,83,81,69,89,46,14,76,2,37,58,59,90,50,78,7,12,80,57,73,112,99,109,32,29,51,13,45,24,68,93,49,105,30,67,1,52,33,94,11,110,9,101,106,39,42,48,102,108,21,72,61,74,107,77,47,103,3,6,18,111,98,87,64,36,84,85,38,54,96,55,31,70,43,17,65,66,10,75,91,62,97,5,41,23,88,79,53,16,8,56,44,92,104,26,34,20,4
1: 100,71,82,15,25,60,63,35,69,90,24,22,27,89,57,86,28,46,42,50,112,40,59,58,14,105,78,19,99,7,33,95,81,67,2,96,94,108,51,37,73,83,103,106,45,76,68,32,9,30,52,29,39,55,110,80,4,12,38,93,109,11,61,18,21,13,102,72,107,101,1,77,6,48,49,3,47,74,79,56,88,64,97,36,84,111,54,70,98,87,10,85,34,66,31,43,17,62,65,75,91,5,41,23,53,16,8,44,92,104,26,20
1: 63,28,100,60,69,35,25,67,15,112,71,40,24,82,27,59,57,90,22,50,106,95,86,33,7,61,14,68,108,89,29,105,78,30,94,2,51,46,58,12,81,42,55,73,83,99,76,4,19,32,77,96,56,45,31,9,37,3,49,110,80,18,39,52,47,103,93,36,66,54,101,13,109,85,21,38,6,11,1,72,102,48,84,62,98,10,107,70,64,79,23,88,87,74,97,111,5,34,8,43,17,91,65,75,41,53,16,44,92,104,26,20
1: 100,67,28,63,7,112,22,35,25,27,15,71,24,60,59,69,82,40,55,86,29,50,81,57,90,105,33,108,61,96,78,106,14,46,58,30,89,94,95,31,36,66,99,68,18,51,45,2,80,73,83,47,12,42,49,32,77,76,9,4,110,19,13,37,3,101,56,52,72,93,54,98,85,102,39,103,1,109,6,11,21,38,70,88,48,64,79,62,10,84,97,107,111,87,74,23,91,34,5,8,17,43,65,75,41,53,16,44,92,104,26,20
1: 63,67,100,28,112,59,25,35,82,15,69,81,7,71,29,55,105,60,22,58,89,40,57,24,108,27,86,45,61,96,78,73,30,33,46,83,80,106,51,31,50,42,62,90,14,94,95,4,68,52,99,47,36,32,2,6,66,18,19,79,12,49,39,77,13,76,101,72,9,110,3,87,37,84,103,88,56,85,64,93,102,98,74,54,21,91,109,38,1,11,70,97,48,111,10,75,23,34,107,104,17,5,8,20,43,41,65,53,16,44,92,26
1: 63,67,28,100,112,25,59,69,82,15,81,60,35,7,22,55,40,89,29,71,105,57,45,46,24,33,73,99,58,78,50,30,108,4,80,61,83,6,27,86,51,14,62,90,9,66,94,96,106,101,95,42,31,104,18,47,68,2,79,13,36,52,76,39,110,32,12,87,49,107,19,77,72,93,21,37,103,74,64,3,84,98,85,88,11,56,97,102,91,1,54,38,111,48,70,16,10,34,75,23,17,5,109,44,65,8,20,43,41,53,92,26
1: 67,63,28,100,40,82,59,25,69,60,15,7,78,112,22,35,45,55,81,57,71,89,58,30,73,29,9,6,46,101,24,105,50,106,99,33,86,14,95,108,90,62,27,61,4,83,51,66,80,76,18,31,47,94,104,68,13,96,11,2,32,42,87,19,110,79,84,34,37,36,52,21,12,39,93,49,107,72,77,103,3,97,64,74,70,98,85,56,88,1,38,102,20,48,5,91,16,54,75,111,109,10,44,23,17,65,8,43,41,53,92,26
1: 67,28,69,63,100,82,25,15,59,40,7,60,112,45,55,78,35,58,105,61,30,83,73,22,71,81,46,57,89,29,9,4,106,101,6,86,50,14,108,33,24,51,99,31,47,66,95,110,62,27,76,80,90,94,18,2,13,36,11,104,75,68,93,96,32,42,77,103,19,21,12,34,79,37,87,74,52,84,49,39,88,107,97,64,72,98,3,70,85,109,1,38,23,44,56,54,91,5,20,111,48,102,16,10,17,65,43,8,41,53,92,26
1: 67,28,100,63,25,69,82,55,112,59,45,40,78,15,7,60,35,22,58,71,30,73,105,14,83,46,61,81,57,4,9,101,66,18,29,106,89,6,86,24,33,110,51,99,27,2,50,62,31,107,108,47,95,80,36,94,103,76,104,13,96,90,74,21,11,42,52,75,68,32,93,77,12,37,49,84,34,19,79,87,72,98,39,97,64,85,88,3,70,20,38,54,48,109,1,56,17,5,91,44,23,102,16,111,10,65,43,8,41,53,92,26
1: 67,63,25,100,28,112,69,40,55,45,82,7,22,78,35,59,58,73,71,15,30,60,83,18,14,81,105,9,4,29,106,57,107,61,33,89,46,62,6,101,24,66,90,2,76,86,51,31,50,110,27,80,99,36,95,47,96,94,74,108,104,32,21,85,13,103,52,68,11,42,93,39,98,37,75,49,84,34,12,87,77,19,64,72,79,20,3,5,88,1,26,97,91,54,38,17,70,102,56,48,109,23,111,44,16,10,65,43,8,41,92,53
1: 67,63,25,28,100,112,40,69,55,82,7,45,58,35,22,59,73,60,71,78,83,30,18,105,81,4,15,9,27,29,14,57,33,36,106,61,107,62,110,46,66,31,6,89,2,101,24,51,90,76,50,86,99,80,39,95,74,32,94,52,104,47,96,108,13,11,85,103,42,21,68,37,93,98,75,84,49,34,12,19,87,64,3,77,72,79,20,5,26,91,88,97,1,38,54,70,56,102,17,48,109,23,16,111,10,65,8,43,41,53,44,92
1: 28,69,25,63,35,73,55,82,67,60,40,112,7,100,59,45,101,22,105,110,61,58,30,106,83,11,4,36,78,76,14,15,31,94,27,29,6,95,24,71,2,50,93,18,51,89,66,80,81,47,46,108,12,107,13,85,33,9,86,62,90,99,52,57,64,21,42,19,103,74,87,39,1,96,68,75,88,91,49,70,32,48,104,37,34,38,54,5,10,102,98,84,77,56,97,20,72,79,3,109,17,23,26,16,41,53,111,65,44,43,92,8
1: 63,60,45,69,28,22,57,89,67,18,86,35,59,11,30,99,7,82,96,25,87,13,17,51,52,64,33,46,66,93,31,103,100,101,4,27,83,74,81,106,55,75,80,76,71,79,107,36,73,50,112,61,19,110,6,40,78,14,109,9,108,41,24,15,105,29,70,68,48,54,56,84,37,90,21,32,12,95,16,8,26,62,85,111,20,94,1,58,2,53,49,39,98,77,23,88,10,5,47,3,104,42,43,34,38,92,102,72,97,44,91,65
1: 63,60,45,69,28,30,22,57,89,67,18,86,35,59,11,99,7,82,96,25,87,13,17,64,52,33,46,66,93,31,103,100,101,4,27,83,74,81,106,55,75,51,80,76,71,79,107,36,73,50,112,61,19,110,6,40,78,14,109,9,108,41,24,15,105,29,32,70,68,48,54,56,84,37,90,21,12,95,16,8,26,62,85,111,20,94,1,58,2,53,49,39,98,77,23,88,10,5,47,3,104,42,43,34,38,92,102,72,97,44,91,65
1: 69,60,67,22,63,57,89,18,28,35,59,11,99,13,73,101,87,7,82,96,25,2,86,17,30,33,52,93,45,31,103,100,46,4,27,61,83,74,81,106,66,80,112,76,36,79,21,55,110,71,19,6,40,50,39,12,75,78,14,54,29,109,64,9,24,68,15,70,105,32,107,56,23,37,90,1,51,84,20,108,95,111,26,65,62,58,41,94,16,85,72,47,53,49,77,88,92,5,98,10,104,42,43,48,8,34,38,97,3,102,91,44
1: 59,63,60,69,28,101,67,11,13,89,19,86,87,46,25,100,35,4,57,73,74,112,7,22,71,42,27,18,99,96,55,103,83,110,14,52,24,54,106,53,45,2,76,93,36,109,31,29,21,95,39,33,94,15,68,17,78,40,77,6,80,66,30,58,82,61,32,108,64,70,49,85,107,12,84,23,79,26,47,50,90,16,105,104,9,1,62,72,81,20,75,92,111,102,56,88,41,65,5,3,10,8,34,38,43,48,97,37,51,91,98,44
1: 25,67,63,59,112,55,69,89,73,7,60,27,101,86,76,19,13,4,22,2,21,100,40,57,28,66,107,45,99,83,14,68,74,78,106,71,58,82,9,12,11,39,6,64,108,52,42,70,41,80,54,36,29,30,15,110,93,46,85,87,31,103,35,72,49,53,102,95,26,32,111,77,47,48,61,96,90,37,56,38,109,105,88,51,1,5,43,18,79,10,34,3,24,17,81,33,94,65,91,16,50,97,98,8,75,84,92,23,20,44,62,104
1: 63,28,40,67,22,69,100,106,55,112,59,71,25,80,27,11,85,101,60,7,86,58,35,13,76,12,82,95,2,51,19,45,4,107,99,14,57,33,89,31,39,73,108,49,9,78,29,90,93,15,110,54,43,61,87,81,6,102,83,1,30,24,21,46,50,36,48,66,77,64,105,32,74,42,5,68,41,94,52,37,53,111,18,103,72,109,98,47,70,3,91,96,38,17,84,104,97,56,23,88,26,20,79,62,75,10,65,44,16,34,92,8
1: 63,69,100,28,22,112,67,27,7,82,35,60,86,11,55,106,59,40,25,108,71,78,4,99,58,15,13,76,12,24,19,2,110,101,33,45,107,29,14,50,57,89,80,85,46,61,105,73,32,39,51,36,30,42,49,90,18,1,83,6,95,31,68,96,21,9,93,94,70,102,81,109,66,47,74,52,87,54,38,56,48,37,103,98,53,64,97,72,88,41,77,3,10,79,104,111,20,26,17,84,43,5,62,75,44,23,34,91,16,65,92,8
1: 63,28,69,100,22,67,60,25,112,55,40,106,35,7,59,27,108,82,71,11,29,33,58,13,86,73,61,24,4,12,14,99,15,89,57,101,76,45,110,85,2,30,78,50,46,36,83,95,1,49,105,51,94,80,68,19,107,31,66,6,90,32,39,54,21,81,18,42,9,77,102,74,93,56,70,48,47,96,62,64,52,98,38,10,87,3,97,109,23,104,41,37,72,53,26,103,84,5,88,79,75,17,20,34,111,65,16,44,91,43,8,92
1: 100,28,63,67,69,7,27,22,25,35,60,59,112,55,106,82,40,108,29,73,61,71,24,14,15,11,110,58,45,13,33,86,46,30,51,105,31,94,99,85,80,2,101,50,89,36,78,49,81,76,57,18,83,12,1,66,4,95,42,68,47,9,107,90,96,6,54,21,93,52,19,70,32,102,39,64,77,38,74,48,56,10,72,98,87,37,3,109,62,103,84,88,97,26,91,34,23,5,104,17,41,53,79,75,44,111,16,20,65,43,8,92
1: 63,28,69,67,100,59,25,35,112,82,55,60,40,22,27,7,73,61,108,45,58,29,106,15,105,30,11,80,81,46,86,13,89,94,14,24,71,12,101,99,51,83,31,110,57,33,85,4,78,2,49,76,50,95,47,66,36,52,42,6,18,1,9,21,96,64,93,19,107,70,32,68,48,90,62,38,102,39,87,74,88,54,72,77,91,10,56,103,84,37,109,79,98,104,3,97,34,53,41,75,20,5,17,26,111,23,44,16,65,43,8,92
1: 63,69,28,59,67,25,60,100,35,82,55,112,40,73,22,105,11,7,45,15,27,80,30,108,46,61,29,101,89,99,106,58,81,24,110,57,51,13,78,14,33,50,4,12,86,94,83,71,66,6,76,42,2,18,31,21,36,9,95,85,49,47,64,107,62,90,87,52,19,93,96,74,1,68,32,39,103,48,79,70,10,38,102,88,72,77,104,56,91,84,37,97,54,109,75,34,20,5,16,23,3,17,98,26,41,53,65,111,44,8,43,92
1: 28,69,60,59,67,63,25,40,35,55,82,7,11,73,100,22,30,15,112,45,105,78,80,101,108,106,29,27,61,86,110,58,14,46,76,94,6,13,24,95,51,31,81,89,71,9,99,50,83,4,2,12,66,33,18,57,47,36,62,21,64,42,19,87,90,85,52,49,68,93,1,107,103,70,96,74,48,39,32,38,91,34,88,97,102,79,75,84,72,77,5,37,109,20,10,104,54,3,56,17,16,98,23,65,41,44,53,26,111,43,8,92
1: 28,69,60,25,67,7,40,63,73,59,82,55,112,35,100,45,11,105,61,30,22,29,15,78,106,110,80,51,86,101,27,58,14,83,6,46,13,94,95,4,31,76,71,108,81,50,89,9,24,66,36,18,2,57,64,12,47,99,21,93,33,42,62,87,19,85,52,1,90,74,107,103,68,88,70,49,75,39,48,96,38,34,102,37,91,32,72,79,109,5,10,97,84,20,54,77,56,98,3,23,16,104,17,111,26,41,53,65,44,43,92,8
1: 69,28,25,60,63,67,55,82,73,100,112,35,45,7,40,59,22,61,106,110,15,78,30,58,101,11,105,4,71,86,51,14,46,27,29,6,66,95,80,18,31,83,76,24,21,2,36,9,13,12,47,94,108,89,50,81,57,93,52,87,99,33,107,85,64,74,19,103,90,42,62,1,39,96,70,75,48,88,68,49,38,34,37,102,54,91,97,109,10,104,20,79,77,84,32,5,56,17,72,3,98,23,16,53,41,111,26,65,44,43,92,8
1: 69,28,25,67,63,60,55,35,112,82,73,22,40,100,45,7,59,106,61,110,105,101,11,30,14,15,78,58,76,71,29,4,18,27,46,6,94,95,83,24,51,86,2,31,36,80,66,81,47,93,108,50,89,12,107,85,21,9,13,33,90,99,52,62,87,64,57,42,39,19,103,74,1,96,75,68,88,91,70,37,49,48,32,104,34,38,54,5,10,98,102,77,84,17,56,97,3,79,20,109,72,23,26,16,41,53,111,65,44,43,92,8
1: 69,28,25,63,67,60,55,35,112,73,82,40,100,7,22,30,45,106,59,61,105,110,101,11,14,27,58,15,71,76,29,4,78,6,36,94,31,95,83,51,18,2,24,46,86,89,66,81,47,80,93,108,50,13,107,12,9,21,85,33,62,90,99,52,39,57,64,42,87,74,19,103,1,96,75,68,88,91,70,49,48,37,32,104,34,38,54,102,5,10,98,84,77,17,56,97,72,20,109,3,79,23,26,16,41,53,111,65,44,43,92,8
1: 28,69,25,63,67,60,73,55,35,112,82,40,100,7,22,110,30,45,59,61,105,101,11,106,27,58,71,14,76,29,4,78,15,6,36,31,94,95,83,51,18,24,2,93,46,86,89,47,66,80,81,108,50,13,107,12,85,9,21,33,62,52,90,99,39,57,64,42,87,74,19,103,1,96,75,68,88,91,49,70,48,37,32,104,34,38,54,102,5,10,98,77,84,56,97,72,20,3,109,79,17,23,26,16,41,53,111,65,44,43,92,8
1: 28,69,63,60,25,55,59,45,82,67,35,112,11,40,30,7,4,22,73,100,27,83,106,101,89,36,18,105,33,76,66,31,110,93,24,58,61,6,19,94,99,52,80,46,2,29,78,87,86,13,51,71,50,14,96,12,107,103,57,81,90,85,62,48,9,74,39,21,108,42,64,49,68,32,70,95,37,84,1,15,79,109,38,75,16,17,56,47,41,3,53,88,20,102,104,10,34,54,26,5,72,77,91,98,23,92,97,111,8,43,65,44
1: 63,45,60,28,69,22,18,67,89,59,30,35,11,25,86,96,33,99,57,4,110,82,55,87,52,83,51,36,100,31,27,103,46,66,17,7,13,101,106,112,71,93,80,79,19,76,109,40,73,74,64,81,105,6,68,78,50,61,16,24,94,48,41,90,84,37,70,75,107,9,53,12,108,29,14,32,2,58,56,39,85,21,49,1,8,3,62,26,54,95,20,111,92,15,38,88,104,10,77,47,102,42,98,43,34,23,5,72,65,97,91,44
1: 63,45,60,28,69,30,22,18,67,89,59,35,11,25,86,96,33,99,57,4,110,82,55,87,52,83,36,100,31,27,103,46,66,17,7,13,101,106,112,51,71,93,80,79,19,76,109,40,73,74,64,81,105,6,68,78,50,61,16,24,94,48,41,90,84,37,70,75,107,9,53,12,108,29,14,32,2,58,56,39,85,21,49,1,8,3,62,26,54,95,20,111,92,15,38,88,104,10,77,47,102,42,98,43,34,23,5,72,65,97,91,44
1: 63,45,28,60,67,69,22,18,89,59,35,86,99,11,25,96,33,87,30,57,4,82,46,13,101,52,55,83,110,36,100,31,73,27,103,17,7,112,106,66,93,80,2,19,76,109,40,79,74,81,51,61,105,6,68,71,12,29,24,78,94,70,39,50,90,37,9,64,53,21,14,41,16,54,32,108,75,84,56,85,58,107,1,49,20,62,26,47,111,48,95,72,15,38,92,88,8,104,77,10,3,102,42,23,98,43,34,5,65,97,91,44
1: 63,60,45,28,59,69,67,22,89,86,35,11,25,87,99,96,13,18,4,100,46,82,19,110,101,55,83,33,73,27,7,57,103,30,36,112,71,74,106,52,31,24,17,66,109,2,76,40,93,94,80,6,29,78,39,68,70,12,21,79,85,14,54,32,108,61,64,50,53,51,58,107,84,90,9,15,81,49,105,16,26,42,41,75,37,95,56,1,47,62,20,77,104,48,111,3,92,72,88,102,10,8,38,5,23,43,91,98,34,65,97,44
1: 63,45,67,60,59,25,69,55,28,86,22,35,11,112,89,87,99,13,27,7,33,19,101,4,57,100,73,110,30,66,83,82,18,76,106,40,109,46,74,36,2,31,71,17,24,96,103,52,93,39,29,108,51,80,85,105,68,6,9,58,64,78,21,107,12,37,70,61,14,42,81,94,54,48,32,79,41,50,49,15,84,53,56,90,1,75,102,26,77,47,20,16,88,111,3,38,95,72,62,10,5,92,8,43,104,98,23,34,91,97,65,44
1: 63,28,67,59,25,22,60,55,69,86,45,11,35,57,27,112,71,89,100,106,30,40,4,13,7,101,87,99,33,82,76,110,12,51,36,19,80,93,31,73,83,2,46,18,85,39,81,96,94,29,52,50,66,74,78,108,24,58,17,6,107,49,105,37,32,14,64,48,103,41,61,70,9,109,21,1,68,42,15,90,53,79,84,95,56,38,3,54,102,62,77,16,47,75,20,98,26,72,5,104,88,111,92,10,43,97,23,8,34,91,65,44
1: 63,28,67,60,22,59,69,55,86,25,35,11,27,45,100,112,7,82,4,99,89,57,13,30,71,106,33,40,12,110,46,18,36,101,19,78,76,87,51,83,31,96,50,73,105,2,80,24,93,108,61,39,29,94,49,74,85,81,52,32,58,6,66,109,15,107,70,68,14,103,9,42,48,1,79,17,21,37,41,64,90,56,53,38,95,84,75,3,62,10,54,47,16,102,20,98,88,77,26,72,104,5,92,111,97,43,23,34,8,91,65,44
1: 63,28,69,67,60,22,59,55,25,35,11,27,40,100,45,86,112,106,82,30,33,71,7,13,89,4,99,57,110,46,12,29,61,36,18,76,101,51,94,73,108,24,83,66,93,87,2,31,74,50,105,19,58,81,96,80,85,78,6,52,49,32,14,70,39,15,109,68,21,1,9,107,48,42,64,62,90,56,95,41,17,103,53,79,38,37,3,84,54,10,47,75,102,77,16,26,20,23,104,98,5,88,97,72,92,111,8,43,34,65,91,44
1: 28,63,67,69,60,59,22,55,25,45,35,27,100,11,7,112,82,106,30,40,86,71,33,110,89,13,18,46,99,36,61,94,29,73,31,4,57,108,24,101,83,51,105,12,93,80,81,66,87,76,14,2,52,85,50,58,96,19,74,15,78,49,32,70,6,42,21,68,9,64,39,107,109,1,90,48,56,103,17,37,95,38,10,47,41,53,79,3,54,84,62,102,75,26,23,5,77,16,98,72,88,104,97,92,34,20,91,111,8,43,44,65
1: 28,63,69,67,59,60,45,55,25,22,11,82,35,100,112,27,30,86,40,61,106,89,33,4,99,105,73,46,29,7,18,94,13,71,110,58,108,36,101,83,80,12,57,31,24,81,66,52,51,87,85,2,93,76,6,19,96,15,50,14,78,49,42,64,48,70,32,74,21,9,109,39,68,103,107,1,62,37,38,84,79,56,95,90,17,54,47,102,41,53,88,10,3,75,72,16,77,5,20,26,104,98,92,23,34,111,97,91,8,43,44,65
1: 28,63,69,67,59,60,25,45,11,55,22,82,35,30,100,112,40,27,89,46,99,33,105,106,86,101,73,4,18,36,61,7,83,80,13,29,110,66,57,94,12,24,87,58,71,108,31,81,51,52,6,93,2,76,50,19,21,85,15,96,14,49,78,64,42,103,9,48,32,107,74,62,68,39,79,70,109,90,37,84,1,56,38,47,17,95,88,102,16,10,41,53,54,3,75,104,72,20,77,5,26,92,97,23,34,98,91,111,8,65,44,43
1: 28,60,59,69,67,63,45,11,25,55,40,30,82,22,35,112,7,27,100,105,86,73,106,89,101,33,4,36,46,18,80,29,13,99,83,31,78,94,61,6,66,24,110,76,87,52,58,71,51,93,2,12,19,108,15,57,50,81,9,14,64,103,96,85,48,21,62,42,70,49,32,107,74,68,39,90,109,95,84,79,37,1,47,38,17,3,16,102,56,88,10,54,75,41,20,5,72,53,77,26,104,34,97,91,23,98,92,111,8,65,44,43
1: 28,60,69,67,25,59,63,45,55,11,40,82,30,7,112,35,22,27,73,4,106,105,100,83,89,86,18,101,29,36,61,46,80,6,66,13,33,78,110,31,94,24,87,93,51,99,71,19,76,52,12,2,58,50,81,57,14,9,48,64,108,103,85,96,21,70,62,74,42,107,49,68,109,32,39,15,90,37,95,1,79,84,75,38,16,17,47,102,88,3,20,56,10,54,72,41,53,5,26,34,77,104,23,91,97,98,92,111,8,65,43,44
1: 28,69,60,25,55,67,63,45,59,82,11,22,30,40,112,35,100,18,106,27,7,4,66,73,83,86,89,101,105,33,110,61,46,36,80,78,6,93,71,58,31,87,29,13,51,24,52,19,76,2,94,99,12,14,21,50,57,96,9,48,85,81,103,107,108,74,62,39,64,42,90,15,49,70,95,37,68,109,84,32,79,38,1,75,47,16,17,3,20,102,88,56,41,54,53,10,104,34,5,26,77,72,23,97,91,98,92,111,8,65,43,44
1: 28,69,60,25,67,63,55,45,59,22,11,82,112,35,30,40,18,106,4,7,27,100,73,105,83,101,89,76,66,110,46,33,36,61,86,31,6,93,58,24,87,29,71,52,51,19,94,2,78,80,99,13,14,12,50,107,85,96,21,62,81,39,48,103,57,9,90,42,108,74,64,49,32,95,37,68,70,15,84,38,109,1,75,17,79,47,16,3,56,53,41,88,20,102,104,10,34,54,5,26,91,77,72,98,23,97,92,111,8,65,43,44
1: 28,69,60,25,63,55,67,59,11,45,82,30,112,27,35,22,40,106,4,18,73,100,7,36,105,89,101,83,76,66,31,33,110,61,6,24,58,93,46,71,29,52,86,19,51,94,2,87,80,78,99,13,14,12,50,39,96,107,85,81,21,62,48,103,57,90,9,42,74,108,64,49,32,95,68,70,37,15,84,1,38,109,75,17,79,47,16,3,56,53,41,88,20,102,104,10,54,34,5,26,72,91,77,98,23,97,92,111,8,65,43,44
1: 28,69,60,25,63,55,67,59,11,45,82,30,112,27,35,22,73,40,100,18,4,7,36,106,105,89,83,101,76,31,66,33,110,93,61,6,24,46,58,71,52,86,29,19,51,94,2,87,80,99,78,13,14,12,50,39,96,107,85,62,81,21,48,103,57,90,9,74,108,42,64,49,32,95,68,70,37,84,15,1,38,109,75,79,16,47,17,3,56,53,41,88,20,102,104,10,54,34,5,26,72,91,77,98,97,23,92,111,8,65,43,44
1: 28,69,63,67,25,40,100,55,35,82,112,7,59,60,58,45,78,22,73,105,31,4,106,76,83,24,27,36,101,80,11,110,2,18,30,99,89,61,33,90,12,29,95,6,15,85,66,51,71,108,14,42,46,52,94,47,19,81,86,50,1,13,62,93,107,32,9,57,103,68,39,96,87,49,74,5,75,38,21,64,56,48,88,109,37,70,77,104,84,34,79,72,3,102,16,10,23,97,54,17,20,53,41,111,91,26,98,8,44,65,92,43
1: 28,69,67,40,63,25,7,100,60,82,59,55,78,35,112,45,58,80,31,11,22,4,105,106,29,15,73,27,61,6,83,76,110,24,12,99,89,30,36,108,101,86,66,46,51,95,33,13,71,2,90,18,81,57,19,14,50,47,42,52,94,9,85,68,1,87,5,49,64,74,109,88,103,75,21,93,62,96,32,39,38,77,48,56,107,70,37,79,84,23,72,102,97,34,54,20,3,10,16,104,17,111,41,53,26,91,44,98,8,65,92,43
1: 69,28,63,67,100,25,55,40,82,60,35,112,59,22,78,7,45,58,106,80,15,4,105,27,110,73,31,61,11,66,6,24,46,29,101,30,12,76,18,83,2,36,33,99,89,51,71,86,95,90,14,108,47,85,13,42,52,9,19,81,57,94,103,50,87,21,96,49,1,107,93,68,74,75,48,62,5,64,38,88,39,70,56,109,32,77,37,104,34,84,54,79,17,97,3,23,102,20,10,72,16,111,53,41,91,26,44,98,8,65,92,43
1: 67,63,69,25,28,100,40,55,35,112,82,60,7,59,58,22,78,27,106,45,105,76,31,11,4,36,73,24,80,110,83,30,2,6,18,29,61,101,99,89,15,33,12,95,90,71,85,51,14,66,108,46,52,47,94,42,81,86,19,39,13,1,50,93,107,62,9,57,32,103,96,68,87,5,49,74,75,21,38,64,48,56,88,37,109,70,77,104,84,34,79,72,3,17,102,16,10,23,54,97,20,53,111,41,91,26,98,44,8,65,92,43
1: 67,28,63,69,25,100,40,55,112,35,60,82,7,59,58,22,78,27,45,105,31,11,76,73,4,106,110,24,80,36,30,83,2,6,101,29,18,61,33,89,12,99,90,95,71,15,85,51,66,108,46,52,42,94,47,86,14,81,19,13,1,39,93,62,50,9,57,107,96,68,103,87,32,74,49,5,21,75,38,64,48,56,88,109,37,70,77,104,84,34,72,79,3,102,16,10,54,97,23,17,20,53,111,91,41,26,98,8,44,65,92,43
1: 28,69,25,63,67,55,60,40,35,82,59,112,100,73,7,45,11,22,105,27,106,58,83,4,110,76,36,78,101,61,29,30,24,31,2,89,80,93,6,85,18,33,13,12,99,66,71,52,14,51,19,108,94,42,90,86,1,15,62,46,95,87,81,49,50,21,107,9,48,57,47,74,96,32,64,38,39,68,54,103,75,10,5,102,70,109,88,84,37,56,77,72,104,17,91,98,34,16,3,20,53,79,97,23,26,111,41,43,65,44,8,92
1: 67,22,63,89,33,59,45,28,96,69,60,83,57,73,7,18,99,11,13,35,80,86,106,55,82,25,71,30,27,76,4,64,46,74,78,52,100,36,40,51,101,103,12,112,66,6,85,87,90,19,31,1,58,17,110,81,29,93,21,2,50,24,75,54,9,62,70,68,109,14,32,43,39,61,5,49,108,95,16,56,79,107,104,105,84,111,47,15,23,26,88,77,98,94,72,42,41,102,53,48,92,10,8,20,65,37,3,97,38,91,34,44
1: 67,22,63,45,7,59,60,33,28,86,83,69,11,99,35,57,25,55,89,96,76,73,40,27,12,80,106,100,87,78,110,52,51,13,85,18,82,103,36,112,90,46,9,54,109,64,19,58,4,17,30,66,105,31,71,1,2,14,74,93,29,61,70,50,101,81,5,39,95,24,21,6,49,107,32,15,75,108,68,47,98,42,23,56,48,77,111,43,26,104,37,79,84,41,94,62,102,16,20,88,10,65,72,3,53,38,8,92,91,34,97,44
1: 11,22,63,67,33,28,83,35,60,45,27,69,59,57,40,7,86,106,99,96,100,55,71,12,51,25,89,87,80,13,85,110,82,112,78,76,36,54,46,93,73,6,30,50,103,90,19,2,4,1,109,49,58,31,29,66,101,18,61,74,70,39,17,108,105,14,15,81,95,52,32,98,68,48,5,47,24,104,77,64,62,42,9,37,102,21,111,10,107,94,75,38,79,84,43,23,3,56,72,41,16,91,88,20,26,65,53,8,92,97,44,34
1: 63,100,28,60,35,69,27,22,40,67,112,11,7,59,82,86,106,99,29,25,55,71,33,45,14,58,110,108,78,76,2,80,4,12,13,46,101,50,54,89,90,19,83,24,36,30,61,85,49,57,6,31,15,18,95,70,42,105,39,5,1,87,21,68,109,93,32,102,51,74,52,107,73,96,62,77,81,56,94,38,72,9,48,10,37,98,17,47,66,111,84,3,79,64,88,103,43,16,41,53,20,75,34,23,65,91,97,104,26,8,92,44
1: 28,100,63,60,69,40,35,27,67,22,112,59,25,29,106,7,55,71,33,11,82,99,24,86,108,61,4,110,58,45,76,2,12,14,13,78,85,89,30,36,101,31,19,80,83,90,95,54,49,57,50,1,94,105,46,6,18,93,5,42,51,70,74,73,52,39,15,32,68,96,87,66,62,109,21,102,81,56,9,77,107,48,10,38,98,47,23,72,3,37,17,64,79,41,84,103,104,111,16,88,75,53,43,34,91,8,26,65,97,20,92,44
1: 28,100,27,67,69,63,22,60,59,25,35,7,112,106,40,55,82,11,71,29,24,108,45,110,58,61,33,105,99,31,85,86,14,89,2,54,30,73,80,36,13,76,15,94,78,4,12,18,49,83,46,52,42,51,1,57,101,21,70,19,66,50,81,68,90,96,32,6,93,74,9,95,87,102,47,98,109,107,48,39,10,72,5,62,56,38,77,64,37,17,3,23,26,88,75,84,53,103,91,34,16,79,41,97,104,111,43,65,8,20,44,92
1: 28,67,69,63,59,25,100,27,60,112,35,40,22,82,55,11,29,106,45,58,7,108,105,61,73,71,80,89,24,86,85,30,12,4,99,15,110,33,13,31,2,78,83,76,36,52,94,81,57,14,49,46,18,51,93,42,101,54,19,66,48,6,1,96,21,70,87,50,62,102,95,9,74,32,47,90,68,38,109,64,39,107,72,10,56,77,5,88,98,37,84,17,91,75,103,79,3,53,16,104,23,41,111,34,20,97,26,43,65,8,44,92
1: 28,69,59,67,25,63,60,100,35,40,82,55,112,22,11,27,45,105,7,106,29,73,80,108,89,99,58,24,4,15,12,61,30,110,33,78,46,13,85,71,2,101,76,36,86,83,31,18,57,42,51,14,21,52,6,49,66,81,94,93,19,87,48,50,62,9,90,74,1,96,95,54,64,107,32,47,102,68,39,109,70,38,10,56,72,103,5,77,88,79,17,75,84,37,104,91,98,16,3,23,97,53,34,20,26,111,41,65,43,8,92,44
1: 28,69,59,67,25,60,40,63,55,35,82,11,22,100,112,7,45,27,105,73,106,29,78,80,30,58,108,15,76,24,89,110,86,13,61,31,4,99,6,2,101,83,12,33,71,36,14,85,18,51,94,46,52,19,42,66,93,62,49,87,21,48,81,9,57,95,50,1,90,32,64,47,96,74,54,68,107,70,109,39,102,38,5,103,72,10,84,77,75,88,17,56,37,79,3,34,91,16,97,98,20,104,23,53,111,41,26,65,43,44,8,92
1: 28,69,25,67,60,40,59,63,55,82,7,100,11,35,112,45,22,73,105,29,106,27,78,80,58,61,110,30,4,83,89,76,13,31,24,6,86,36,2,71,51,12,108,14,99,101,85,18,33,46,66,93,52,94,19,15,87,42,21,48,62,1,81,49,9,57,95,90,50,64,74,47,54,107,32,96,109,70,102,38,68,39,5,75,103,88,72,10,84,37,17,56,77,98,16,79,34,3,20,91,23,97,104,53,111,26,43,41,65,8,44,92
1: 69,28,25,67,60,63,55,59,82,40,100,22,35,45,112,7,106,11,73,27,78,58,105,110,4,29,61,80,30,24,86,83,76,89,18,6,2,31,66,36,71,13,12,51,14,101,93,85,33,52,99,46,108,15,19,21,87,42,94,90,48,95,9,62,81,57,49,1,74,50,47,107,96,54,38,64,109,102,39,68,103,70,75,32,10,5,88,84,37,17,72,77,56,34,16,3,98,104,20,79,91,97,23,53,111,41,26,43,65,44,8,92
1: 28,25,69,67,60,55,63,82,40,22,35,112,100,59,45,11,106,7,73,105,27,110,58,29,76,4,78,30,61,83,24,18,89,2,101,31,6,36,80,71,14,86,93,51,85,33,13,66,12,52,99,46,108,94,19,87,42,15,90,62,21,95,81,48,107,9,49,1,57,50,47,74,96,32,39,64,38,68,54,103,75,10,5,102,109,70,88,84,37,17,56,77,104,72,91,98,34,16,3,53,20,79,97,23,26,111,41,43,65,8,44,92
1: 25,69,28,67,60,55,63,40,82,35,112,100,59,11,22,73,106,7,27,45,105,58,110,30,76,29,4,61,36,78,83,31,24,2,89,6,18,101,71,80,14,93,51,85,13,33,52,12,66,99,86,108,94,19,90,42,15,46,62,1,21,87,95,81,48,107,9,49,57,50,47,74,96,39,32,64,38,68,54,103,75,10,5,102,109,70,88,84,37,17,56,72,77,104,91,98,34,16,3,53,20,79,97,23,26,111,41,43,65,44,8,92
1: 28,25,69,67,60,55,63,40,82,35,112,59,100,73,11,22,7,27,45,105,106,58,110,30,76,29,4,36,61,78,83,31,24,2,89,93,6,18,71,101,80,51,85,13,33,52,14,12,99,66,86,108,19,94,42,90,46,62,15,1,21,87,95,48,81,9,107,49,50,74,57,47,96,39,32,64,38,68,54,103,75,102,10,5,109,70,88,84,37,56,72,77,104,17,91,98,34,16,3,53,20,79,97,23,26,111,41,43,65,44,8,92
1: 25,28,67,69,63,100,40,55,82,35,112,7,60,58,59,73,45,22,105,78,101,95,83,31,36,71,110,15,4,24,106,30,61,27,51,76,108,18,80,6,29,47,14,33,2,81,94,50,66,89,11,90,12,46,86,9,99,57,85,13,42,52,93,107,62,103,74,68,39,87,64,21,19,75,96,32,1,5,49,10,104,77,37,34,70,88,48,56,109,79,38,17,54,84,91,3,72,98,23,102,97,20,16,111,53,8,41,26,43,65,44,92
1: 100,25,28,69,35,63,59,71,27,89,60,58,15,82,7,57,78,40,22,90,112,33,105,99,67,95,24,14,45,80,73,108,86,4,18,83,46,19,55,12,77,39,31,85,81,51,13,96,76,29,101,56,42,50,61,9,47,106,107,1,74,2,110,103,11,21,68,52,32,49,30,6,102,84,37,54,64,109,36,94,87,34,93,38,111,79,70,23,3,5,72,48,88,98,41,65,104,62,10,75,66,43,97,44,17,91,53,92,26,20,16,8
1: 28,100,63,67,60,69,59,35,40,25,112,15,7,82,27,71,33,57,58,95,78,90,106,22,29,55,12,105,108,89,4,24,83,14,61,80,77,99,31,50,45,73,51,68,86,85,101,76,56,46,11,18,36,47,81,13,19,96,6,23,49,110,1,39,54,30,2,66,94,21,109,5,9,3,42,74,37,64,107,102,111,62,32,52,87,10,70,103,98,84,72,48,93,79,38,88,34,41,75,8,104,26,53,97,44,91,17,20,43,16,65,92
1: 100,67,28,63,7,59,112,35,25,15,40,27,69,60,58,71,22,82,55,78,29,95,80,90,24,105,31,33,108,14,57,106,81,45,46,50,61,86,99,12,36,51,96,89,83,85,47,18,73,101,4,66,110,13,77,11,49,76,94,56,1,68,54,19,30,6,9,42,39,2,3,5,23,109,37,74,52,102,84,70,72,111,87,98,21,93,10,103,88,48,64,38,34,32,79,62,107,91,97,53,104,75,41,17,16,8,44,20,92,26,43,65
1: 67,100,63,28,59,112,69,25,58,82,40,35,55,7,60,15,22,105,29,78,80,45,57,108,81,71,27,31,95,61,24,4,12,90,89,33,99,83,73,51,106,14,46,36,101,86,47,85,94,96,6,19,66,50,13,11,52,30,49,110,18,42,77,76,1,68,2,9,56,39,74,79,87,109,62,88,64,32,72,5,54,21,3,93,38,48,84,102,70,103,23,111,10,37,91,107,75,104,98,17,97,34,53,41,44,20,16,8,43,65,92,26
1: 67,100,63,28,112,69,59,25,40,55,35,60,7,82,15,22,58,78,80,105,45,99,4,57,108,29,81,24,101,33,31,90,89,27,46,95,51,12,73,83,6,71,36,61,50,11,66,14,76,49,106,18,47,19,110,42,94,85,86,96,52,30,9,13,68,79,87,77,2,1,39,74,21,56,62,64,103,32,107,104,109,5,88,93,48,72,38,3,54,23,102,10,84,37,53,70,75,91,34,17,97,111,41,16,20,98,44,65,26,8,92,43
1: 67,100,40,63,28,69,59,25,60,78,35,112,7,82,55,15,45,22,58,80,105,101,95,4,31,108,99,11,24,90,6,27,12,29,73,33,51,76,89,46,106,57,81,83,71,36,66,47,61,30,50,19,110,14,9,86,18,13,94,68,42,49,52,2,87,85,1,5,62,103,109,77,96,32,64,21,56,74,79,39,34,88,84,70,107,104,48,37,3,75,97,38,72,93,20,10,102,17,16,23,91,54,53,111,98,41,44,65,26,8,43,92
1: 67,100,40,69,63,28,25,7,78,60,59,82,35,112,55,58,80,45,22,15,105,31,4,101,95,51,83,29,73,99,6,12,106,90,61,108,24,89,11,76,27,46,66,71,57,30,36,81,110,33,86,9,50,94,47,14,13,18,19,68,2,42,52,1,85,103,5,87,49,64,74,62,109,21,75,96,32,77,88,56,93,39,107,34,48,79,84,70,38,72,37,104,23,10,20,3,102,97,17,16,54,98,111,91,53,41,8,44,43,26,65,92
1: 67,100,69,63,25,40,28,78,55,35,112,82,60,58,7,59,22,45,80,4,15,105,101,31,51,95,24,46,83,106,73,66,6,27,12,30,71,90,36,110,99,76,18,61,29,86,89,33,14,108,9,2,47,11,94,57,81,52,50,42,103,13,85,19,74,68,87,21,96,1,49,5,107,93,62,75,48,64,109,77,56,32,39,70,34,79,88,104,84,37,38,10,17,3,23,72,97,102,54,20,16,53,111,91,98,41,8,44,43,26,65,92
1: 67,100,63,25,69,40,28,55,112,35,22,82,78,60,7,58,45,59,105,80,4,101,31,24,90,18,76,83,95,51,73,106,15,27,30,6,12,33,36,29,71,2,99,46,89,110,66,11,14,61,108,94,81,47,52,86,42,50,85,9,57,103,19,13,68,107,87,74,1,96,39,62,32,5,49,93,21,109,56,48,64,75,37,104,38,77,70,34,84,79,10,88,3,17,16,72,23,20,53,91,102,98,97,54,111,41,8,26,44,43,92,65
1: 67,100,63,25,69,40,28,55,112,35,7,58,82,60,22,78,59,45,105,80,31,4,101,27,36,24,18,76,83,106,95,90,51,73,15,30,12,6,33,29,71,99,2,110,89,66,11,14,61,108,94,47,81,52,46,42,85,50,86,9,57,103,39,19,1,13,68,107,74,62,32,96,87,49,5,93,109,21,48,64,75,56,104,37,77,38,70,34,79,84,10,88,3,17,16,72,23,20,53,91,102,98,97,54,111,41,8,26,44,43,65,92
1: 67,63,25,100,69,40,28,55,112,35,7,58,82,60,22,78,59,45,105,80,31,4,101,27,73,36,24,18,76,83,51,95,90,106,30,6,12,33,71,29,110,99,2,15,89,66,11,61,108,94,14,47,46,81,52,42,50,85,86,9,57,103,39,19,13,1,68,74,107,62,93,32,96,87,49,5,109,21,48,64,104,75,56,37,77,38,70,34,79,84,10,88,3,16,72,23,17,20,53,102,91,98,97,54,111,41,8,26,44,43,92,65
1: 69,28,63,25,60,82,55,35,45,73,7,101,59,40,11,22,30,67,105,112,106,100,76,89,4,36,27,83,58,6,31,93,52,18,66,110,61,2,24,87,46,29,90,50,78,80,19,94,99,51,12,14,33,85,103,48,32,96,86,62,39,1,42,71,95,13,37,64,107,81,74,9,57,38,68,15,21,84,16,70,75,49,109,53,108,47,3,88,41,56,10,79,17,104,26,72,54,5,102,20,77,98,34,91,97,92,23,44,43,8,65,111
1: 63,28,45,89,22,69,67,60,18,106,11,25,86,30,35,59,82,99,87,27,57,7,4,51,33,96,76,52,110,83,66,46,100,55,31,79,109,80,101,36,73,64,105,17,40,93,81,103,78,6,13,32,50,71,90,61,16,68,12,48,29,112,24,74,19,53,107,1,84,37,41,2,70,75,58,108,94,56,14,39,9,49,3,38,62,54,88,95,26,15,8,21,85,111,20,42,47,77,23,92,102,98,104,43,5,10,72,34,65,44,97,91
1: 63,28,22,89,45,67,69,30,60,106,18,25,11,86,35,59,82,52,27,87,99,4,7,57,96,33,76,46,66,83,110,51,100,31,55,101,80,109,79,105,64,73,36,81,93,40,17,13,6,78,103,50,61,90,71,112,29,32,48,12,68,16,74,24,1,107,53,19,2,41,37,84,70,94,108,58,75,14,56,9,39,3,49,54,62,38,15,26,95,88,21,8,42,20,111,85,47,77,92,23,104,98,102,5,43,10,34,72,44,65,97,91
1: 63,28,67,89,22,69,60,18,106,45,11,25,86,99,35,30,87,59,82,27,52,57,7,4,33,96,46,76,73,83,100,101,51,110,31,109,80,36,105,66,55,17,40,93,81,103,79,6,13,61,78,50,12,2,112,90,64,29,71,68,32,24,16,74,19,53,39,1,37,70,84,41,48,108,94,107,56,58,14,75,9,54,49,21,111,38,62,88,95,26,15,47,85,20,42,3,77,8,23,92,102,98,104,43,72,5,10,65,34,97,44,91
1: 63,28,89,67,69,22,60,106,45,11,25,86,59,35,18,99,87,82,7,27,30,4,96,46,100,76,73,57,83,101,33,110,52,55,13,36,109,66,31,71,40,6,2,17,103,78,80,51,19,32,74,24,29,112,12,93,64,105,90,68,81,79,39,94,50,61,1,53,70,14,108,107,84,16,48,58,49,15,37,41,75,56,42,85,54,9,21,62,111,95,26,3,47,77,88,38,20,104,23,92,8,5,102,43,72,10,98,34,91,65,97,44
1: 63,28,25,67,69,22,86,60,45,106,59,11,89,35,99,27,7,87,55,18,76,82,100,57,73,4,101,33,30,83,40,109,66,13,110,96,46,52,29,105,31,51,2,112,36,17,19,78,6,32,103,24,68,93,64,71,12,39,81,74,80,61,37,48,108,50,94,1,85,79,41,14,9,107,58,90,84,70,49,15,42,53,56,21,54,75,38,16,111,3,77,88,95,26,20,47,62,102,5,10,92,104,23,43,72,8,98,34,91,65,97,44
1: 63,28,25,67,22,69,106,11,60,59,45,89,86,27,35,7,55,99,57,76,87,100,82,18,101,4,30,51,40,33,110,96,46,13,71,36,12,93,29,83,105,80,31,73,112,6,2,52,39,19,50,109,78,32,81,66,17,85,24,64,1,61,90,37,48,108,107,94,103,79,68,41,14,49,74,58,42,84,70,15,38,53,95,3,56,9,21,75,16,62,77,54,47,102,20,26,111,88,98,5,104,23,10,92,43,72,8,97,91,65,44,34
1: 63,28,25,67,22,69,35,11,60,106,59,86,27,89,45,99,7,55,100,82,18,76,4,30,46,57,87,101,33,51,13,40,110,105,78,96,71,12,32,29,112,36,50,73,61,83,109,6,39,19,24,2,81,66,31,93,52,80,108,49,90,48,58,15,107,85,38,94,1,37,103,79,68,64,14,74,42,17,9,84,70,53,95,41,3,56,21,16,75,62,54,10,102,20,77,88,98,26,47,111,5,104,92,23,43,72,97,8,34,44,91,65
1: 63,28,69,25,60,22,67,59,106,35,27,55,89,11,45,100,86,30,33,99,40,7,82,29,46,76,12,61,4,101,13,57,110,18,105,112,51,24,78,71,73,6,87,66,36,50,108,32,109,2,52,83,81,94,31,93,39,96,80,1,19,49,68,48,15,90,58,14,74,85,95,64,42,38,70,3,56,9,107,62,79,53,41,21,84,37,103,17,54,16,75,77,102,26,47,10,20,23,98,88,5,104,92,43,111,72,97,8,34,91,65,44
1: 63,28,69,25,67,60,22,59,27,106,45,35,100,11,7,55,89,82,30,29,86,99,18,46,33,51,40,110,61,105,24,101,112,13,36,73,94,31,71,76,81,57,12,87,78,80,4,66,52,108,83,32,96,50,6,93,2,109,14,19,49,15,68,39,90,70,48,58,64,85,38,1,42,3,37,56,74,9,107,84,103,79,95,21,53,17,54,41,47,10,62,16,102,26,75,77,23,88,5,72,98,104,20,92,34,43,111,91,97,8,44,65
1: 63,28,69,67,25,60,59,45,82,35,22,100,89,55,11,27,30,106,105,61,29,86,7,99,112,46,40,18,33,73,80,101,36,52,81,94,13,76,12,4,31,24,110,78,83,66,51,57,87,58,6,71,48,93,2,108,32,96,109,50,64,14,15,42,49,39,38,70,19,85,37,79,68,95,1,90,84,74,9,103,107,21,62,3,53,56,47,17,88,41,10,16,77,54,102,75,72,26,20,5,98,92,104,23,91,111,34,43,8,97,44,65
1: 63,28,69,60,67,25,59,45,82,35,22,89,55,11,27,30,105,100,106,46,61,7,101,99,40,29,80,112,18,86,33,73,36,87,81,66,76,110,4,31,24,12,78,6,83,51,57,52,58,64,94,13,48,93,2,32,96,109,50,15,42,103,108,49,9,71,90,38,14,21,19,85,79,39,37,68,107,84,62,74,95,70,1,56,47,17,53,3,10,88,16,41,77,102,104,75,72,26,20,54,5,92,23,91,111,98,34,8,97,44,43,65
1: 28,60,69,67,63,25,59,30,45,11,55,82,35,22,40,7,89,27,106,105,29,80,101,86,112,100,78,18,31,73,61,6,46,76,99,36,24,87,33,66,110,52,13,83,51,2,9,4,15,94,58,109,48,93,81,19,50,12,64,14,32,96,57,103,62,90,38,95,70,42,71,39,84,37,68,21,108,49,85,3,1,79,74,107,47,17,88,53,16,41,10,75,56,20,5,72,102,77,54,34,91,104,26,23,92,111,97,98,44,8,65,43
1: 60,28,69,25,67,63,55,82,7,30,59,45,11,40,35,106,27,22,73,29,105,112,61,6,80,86,100,89,78,18,31,83,4,101,46,36,76,66,51,24,87,110,93,52,94,13,99,58,2,19,9,50,109,48,81,33,12,64,14,71,96,37,57,32,15,38,103,42,90,95,70,39,68,21,1,84,62,74,85,49,75,79,16,108,88,107,47,3,10,53,41,56,20,17,5,102,72,34,77,54,91,26,23,98,92,111,104,97,44,8,43,65
1: 69,28,60,25,63,55,67,82,45,22,11,18,106,35,30,7,59,73,101,66,40,27,100,6,4,112,58,80,86,46,51,89,87,52,105,76,61,78,29,31,36,110,83,24,93,2,19,50,103,48,71,90,12,33,13,99,14,9,96,15,94,21,39,42,37,95,85,64,57,38,62,109,32,74,107,68,81,1,16,70,75,84,49,79,108,47,3,10,88,53,41,56,20,17,102,104,54,5,34,77,97,91,26,92,23,72,98,44,43,8,65,111
1: 69,28,25,60,63,55,22,67,82,11,45,35,18,106,30,7,73,101,76,40,105,59,112,4,27,6,100,58,46,89,87,52,66,61,2,31,36,110,93,29,83,86,51,24,90,78,14,80,19,50,94,99,71,12,39,33,85,103,48,32,62,96,42,95,13,37,64,107,81,74,9,15,21,57,38,68,1,84,16,70,75,49,109,53,108,47,3,17,88,41,56,10,79,104,26,54,5,102,20,77,98,34,91,97,92,23,72,44,43,8,65,111
1: 69,25,60,63,28,55,82,11,30,67,35,22,27,106,45,7,73,101,76,40,105,59,112,89,18,4,36,6,100,58,31,52,66,61,2,46,110,87,93,29,83,51,24,90,78,14,80,86,19,50,39,94,99,71,12,33,85,103,48,32,96,62,1,42,95,13,37,64,107,81,74,9,15,21,57,38,68,84,16,70,75,49,109,53,108,47,3,17,88,41,56,10,79,104,26,72,54,5,102,20,77,98,34,91,97,92,23,44,43,8,65,111
1: 28,69,25,60,63,55,82,11,30,73,35,22,67,27,45,7,101,76,40,105,59,112,89,18,4,106,36,100,6,58,31,93,52,66,110,61,2,46,87,29,83,51,24,90,78,80,86,19,50,39,94,99,71,12,14,33,85,103,48,32,96,62,1,42,95,13,37,64,107,81,74,9,21,57,38,68,15,84,16,70,75,49,109,53,108,47,3,88,41,56,10,79,17,104,26,72,54,5,102,20,77,98,34,91,97,92,23,44,43,8,65,111
1: 28,69,55,25,67,63,35,112,82,59,40,60,45,100,73,4,7,58,83,36,76,106,22,101,31,24,30,78,27,2,33,11,110,105,80,18,6,85,12,94,89,61,19,90,66,99,52,93,71,42,29,51,14,95,47,46,62,50,81,107,15,74,49,13,86,103,108,1,9,39,87,38,57,96,21,5,75,48,37,104,56,64,32,68,70,88,72,3,34,79,102,84,109,20,17,91,77,16,10,97,98,54,53,23,41,26,111,44,92,65,43,8
1: 63,69,28,60,45,22,67,35,89,86,30,59,18,11,99,87,96,57,25,82,33,7,52,103,31,110,4,51,55,46,66,101,27,100,83,17,36,93,106,81,80,13,76,79,71,74,73,64,112,19,40,6,78,109,50,105,107,90,68,24,41,12,70,48,37,32,9,56,16,94,2,61,75,14,29,84,58,53,21,39,8,26,1,20,49,108,62,85,15,42,95,38,54,92,3,111,98,104,88,10,23,102,77,34,47,5,43,72,97,91,65,44
1: 63,69,28,60,45,30,22,67,35,89,86,59,18,87,11,99,96,25,57,52,82,33,7,103,31,110,4,55,46,101,66,27,100,83,17,36,93,106,81,80,13,76,79,51,71,74,73,64,112,19,40,6,109,78,50,105,90,107,68,24,41,12,70,37,48,9,56,94,16,2,32,61,75,14,29,84,58,53,21,39,8,26,1,20,49,108,62,85,15,42,95,38,54,92,3,111,98,104,88,10,23,102,77,34,47,5,43,72,97,91,65,44
1: 63,69,28,60,67,22,45,86,35,89,99,87,59,18,96,57,25,52,11,46,82,33,103,7,101,31,30,4,73,2,27,13,100,17,112,83,93,106,80,36,81,76,110,55,66,74,12,40,79,19,78,50,6,109,105,68,61,71,29,90,39,21,24,14,37,70,9,56,51,94,64,32,1,41,84,58,108,53,107,26,16,75,20,62,49,85,54,15,42,72,95,38,111,47,8,48,92,5,104,98,88,23,10,102,77,34,3,43,97,65,91,44
1: 63,69,28,60,59,67,89,22,86,11,87,46,35,99,45,96,25,7,101,100,18,13,27,73,103,4,33,110,19,83,112,71,82,74,2,57,55,52,106,78,31,36,21,80,42,40,76,93,17,39,90,24,14,94,6,66,29,68,109,70,32,108,30,58,12,72,54,15,81,85,107,1,49,95,50,53,9,64,77,84,79,56,61,105,26,47,5,62,104,41,20,16,75,48,111,37,38,3,51,92,23,88,10,8,102,98,34,43,97,65,91,44
1: 63,67,59,60,69,25,22,45,11,55,112,28,7,86,99,27,89,13,35,100,73,87,19,101,4,76,57,14,74,71,40,82,83,2,103,39,106,78,58,42,46,66,21,109,31,110,33,68,9,54,52,29,108,15,96,36,107,93,85,80,6,12,105,70,81,95,30,49,32,64,77,18,72,24,37,90,1,61,47,94,17,5,3,41,79,48,56,50,102,26,84,65,88,38,53,111,75,51,20,62,16,98,34,10,23,92,8,43,97,104,91,44
1: 63,28,67,22,25,59,11,69,100,60,55,112,71,7,27,40,86,35,89,13,101,57,45,85,80,19,58,4,73,14,76,82,106,31,99,39,12,78,87,81,2,93,33,110,83,15,95,108,21,29,30,107,51,46,36,54,90,49,102,64,105,24,37,9,74,94,32,18,50,1,3,52,77,61,48,47,42,96,6,103,72,41,5,109,68,70,66,98,53,111,56,65,79,84,38,17,62,26,97,75,23,20,16,88,91,10,104,34,92,43,44,8
1: 63,28,100,67,22,7,59,25,69,55,11,35,112,60,27,40,71,82,86,4,78,89,58,13,85,14,99,57,108,12,106,73,80,33,45,101,19,15,31,110,24,39,76,105,46,18,29,107,49,21,90,50,36,96,83,30,2,51,54,81,42,1,102,32,95,87,9,94,61,74,93,64,56,6,52,68,47,109,103,37,77,72,3,38,70,79,41,48,53,98,5,97,66,88,84,17,26,75,34,10,62,65,111,23,104,20,16,91,92,43,44,8
1: 63,28,100,67,69,60,40,59,7,55,22,35,25,112,82,27,106,11,58,108,33,71,12,85,4,78,13,89,29,57,73,99,110,15,31,45,80,61,24,14,86,101,76,105,83,30,1,49,36,46,90,18,95,94,50,19,54,2,51,21,81,42,96,56,9,6,68,77,39,74,32,64,102,93,47,109,3,52,107,87,98,66,70,38,62,37,5,23,97,48,41,103,53,75,79,72,26,10,17,88,104,84,20,111,16,34,91,44,92,65,8,43
1: 28,100,67,63,7,59,55,69,22,35,40,60,112,25,27,82,58,106,108,11,71,29,31,85,15,110,45,80,78,73,33,61,24,89,13,36,12,14,105,99,83,30,86,46,94,18,4,76,49,101,81,1,57,51,2,42,47,95,90,96,54,50,19,66,93,74,9,56,21,52,64,6,77,68,32,3,98,109,38,39,102,87,37,70,107,5,103,72,23,62,48,17,97,10,84,88,26,79,75,41,53,104,111,34,91,16,44,20,92,8,65,43
1: 28,67,63,59,100,69,55,58,82,112,40,7,35,25,60,22,108,11,45,106,27,29,80,73,61,15,105,31,85,89,78,30,12,4,81,83,24,99,13,71,33,94,86,57,36,110,76,46,101,49,18,42,1,52,47,2,14,51,6,19,95,64,66,90,96,9,21,62,50,56,74,38,77,93,87,48,109,32,72,102,68,39,107,54,88,70,3,79,37,103,5,84,17,97,75,10,98,104,41,53,91,23,20,34,111,26,44,16,92,65,8,43
1: 28,67,63,59,69,55,100,25,40,82,112,35,60,7,11,22,58,45,80,99,108,105,78,4,73,27,12,15,85,101,36,89,31,106,29,24,83,33,30,46,81,61,57,49,76,18,94,110,13,42,66,6,86,2,71,21,47,9,51,52,90,50,14,1,64,19,96,107,87,62,95,74,103,56,68,93,79,48,77,38,32,104,39,109,72,102,88,37,70,5,97,54,3,10,17,75,84,34,23,91,41,20,16,98,53,26,111,44,92,65,8,43
1: 28,67,59,69,40,55,63,60,25,82,35,11,7,45,112,22,78,100,80,58,73,31,30,105,4,24,12,15,101,106,27,99,36,76,33,29,83,6,85,108,13,94,61,110,89,18,46,66,2,19,86,9,81,49,95,71,42,52,1,51,50,62,47,90,64,57,14,21,87,103,5,68,48,74,93,70,107,96,38,32,56,109,104,39,37,102,79,97,34,72,88,3,84,77,20,75,10,17,54,91,16,98,41,53,23,111,44,26,65,92,8,43
1: 28,67,69,40,55,59,25,63,60,82,7,35,45,112,78,100,73,80,11,22,58,4,83,31,106,30,12,105,29,36,101,24,6,27,76,13,33,61,99,94,85,110,18,66,89,46,51,2,86,9,71,15,19,81,1,108,95,42,52,50,49,87,90,64,47,14,57,21,62,93,103,74,5,48,75,68,107,70,38,88,109,37,96,56,102,39,32,79,72,34,20,84,104,3,17,10,54,16,23,77,97,91,98,41,53,111,26,44,65,92,8,43
1: 69,28,67,55,25,63,40,59,60,82,45,35,112,100,22,78,4,73,58,7,80,106,83,66,18,30,11,31,36,33,110,101,6,24,76,2,27,12,105,61,85,46,71,29,86,13,89,94,51,99,15,52,19,9,47,42,21,90,14,95,93,87,108,49,81,103,74,50,107,1,57,62,48,96,75,64,38,5,37,39,56,68,70,88,104,20,109,102,79,84,3,34,17,32,72,54,10,77,97,16,23,91,41,98,53,111,26,44,92,65,43,8
1: 28,69,67,55,25,63,112,45,35,40,60,82,59,22,100,73,4,58,7,76,106,83,18,30,78,11,31,24,101,36,105,33,2,80,110,6,27,85,12,94,61,46,66,90,71,99,19,52,29,51,89,93,14,42,86,15,95,47,62,81,107,13,87,74,108,9,49,103,21,50,1,39,57,38,96,37,5,48,64,75,104,56,32,68,88,70,3,17,84,34,72,79,102,20,109,91,10,98,16,77,54,97,23,26,53,41,111,92,44,65,43,8
1: 69,28,67,55,25,63,35,112,40,60,82,59,45,100,73,4,58,76,36,7,22,30,27,106,31,83,11,24,78,18,2,33,101,105,80,110,6,85,12,94,61,89,19,66,71,90,52,99,29,14,51,93,42,46,86,15,95,47,62,81,39,107,13,1,74,49,108,9,87,103,21,50,57,38,96,37,5,64,48,75,104,56,32,68,88,70,17,72,3,34,84,102,79,20,109,91,98,10,16,77,54,53,97,23,26,41,111,92,44,65,43,8
1: 28,69,55,67,25,63,35,112,40,60,82,59,100,45,73,4,58,76,36,7,22,30,27,31,83,106,24,11,78,18,110,2,33,101,105,80,6,85,12,94,61,89,19,66,71,90,99,52,93,29,46,51,42,86,14,62,47,95,13,39,81,107,74,15,108,1,49,87,9,103,21,50,57,38,5,96,37,64,104,75,48,56,32,68,88,70,72,3,34,84,102,79,17,20,91,109,98,77,10,16,97,54,53,23,26,41,111,92,44,65,43,8
1: 28,25,69,63,60,55,82,35,67,112,59,73,100,40,101,7,30,45,22,106,83,4,36,27,76,6,105,18,11,58,89,110,93,31,66,52,24,2,61,51,46,78,14,39,90,99,50,29,33,94,12,19,80,87,95,107,86,71,103,81,62,96,32,9,85,1,13,74,21,42,57,48,64,38,15,37,108,47,49,68,70,84,75,3,79,104,53,41,91,26,20,56,88,109,16,10,34,5,98,72,102,17,54,77,23,97,92,111,43,44,65,8
1: 63,22,69,59,28,67,89,35,60,96,7,18,87,25,99,30,100,33,11,57,76,4,82,86,51,27,106,73,45,55,31,52,66,46,112,103,83,81,36,41,78,80,79,93,40,107,6,32,19,37,101,105,24,64,13,90,110,71,74,50,61,17,48,53,1,109,70,84,2,68,14,29,12,16,49,56,94,108,39,58,21,26,85,95,9,111,15,77,62,20,5,75,54,38,88,3,8,42,98,47,23,92,102,43,10,34,72,104,91,44,65,97
1: 63,22,69,59,28,67,89,35,60,96,7,18,30,87,25,99,100,33,11,57,76,4,82,86,27,52,106,73,45,55,31,51,66,46,112,103,83,81,36,41,78,80,79,93,40,107,6,19,37,101,105,24,64,13,90,32,110,71,74,50,61,17,48,53,1,109,70,84,2,68,14,29,12,16,49,56,94,108,39,58,21,26,85,95,9,111,15,77,62,20,5,75,54,38,88,3,8,42,98,47,23,92,102,43,10,34,72,104,91,44,65,97
1: 63,22,69,28,67,59,89,35,60,96,7,18,87,99,25,100,33,30,11,57,86,76,4,73,82,27,52,106,55,31,51,45,46,112,103,83,40,81,36,80,66,101,93,78,6,19,37,79,13,105,24,2,90,32,110,41,74,12,61,64,17,50,70,71,107,1,53,68,109,29,21,14,39,84,49,56,94,48,108,111,16,85,58,26,95,9,54,15,20,62,5,77,47,38,75,88,42,98,72,3,23,8,102,92,43,10,34,104,91,65,97,44
1: 63,59,69,28,22,67,89,7,35,60,96,87,18,99,25,100,11,33,86,73,4,57,82,76,27,30,106,55,46,19,45,101,112,31,83,13,40,103,71,66,32,51,36,24,2,52,78,6,110,80,74,107,93,90,29,12,109,70,64,81,1,79,14,39,37,68,21,105,94,41,108,49,17,53,50,61,15,84,85,77,48,42,58,26,95,56,3,54,9,20,5,62,16,111,75,88,47,72,38,23,102,98,92,8,43,104,10,34,91,97,65,44
1: 63,59,69,22,67,28,7,35,25,60,99,89,55,11,86,100,87,33,45,27,73,18,57,76,112,82,96,106,4,13,30,19,51,66,40,101,83,31,32,2,24,78,46,107,103,93,105,110,29,36,71,39,37,52,109,74,80,81,68,6,12,64,108,14,41,61,1,21,70,49,85,9,17,50,48,84,94,58,42,53,90,79,15,77,95,26,5,54,111,56,3,88,20,38,102,62,16,98,47,75,72,10,23,92,43,8,104,34,91,97,44,65
1: 28,63,22,69,67,25,59,35,60,100,89,55,11,7,27,57,86,106,99,33,76,112,82,45,96,51,40,87,71,18,4,101,19,30,80,31,39,12,107,13,73,93,110,32,36,81,78,83,24,46,2,29,6,105,66,37,90,14,1,50,74,85,108,52,64,49,103,61,48,68,41,94,21,42,109,15,58,53,70,79,84,9,17,95,77,98,3,38,56,62,26,5,102,54,111,75,20,47,16,23,88,10,72,92,43,104,91,8,34,97,44,65
1: 63,28,22,69,67,35,59,25,60,100,11,7,55,89,27,86,82,112,106,57,99,33,4,96,18,45,40,76,46,13,71,51,110,30,101,32,78,39,24,107,73,36,29,50,12,87,83,31,80,19,81,105,66,2,6,61,93,74,108,14,49,90,85,103,58,15,109,52,42,68,1,37,79,38,9,94,21,48,64,95,70,41,53,84,56,17,98,102,62,3,77,26,88,54,10,20,5,75,16,47,72,111,92,23,104,43,97,34,91,8,44,65
1: 63,28,22,69,25,67,60,35,59,100,55,106,11,7,27,112,33,82,89,40,57,4,46,30,86,45,99,29,73,13,76,24,18,12,101,110,96,51,61,71,36,66,31,81,83,32,50,78,108,105,80,87,6,39,2,74,93,107,68,14,58,19,1,94,95,52,49,85,15,21,42,90,70,48,9,109,64,62,38,103,37,3,41,79,53,56,84,102,54,26,77,98,17,10,5,20,47,88,23,75,16,104,92,72,111,8,34,97,43,91,44,65
1: 28,22,69,63,67,59,7,60,25,100,35,55,106,11,27,82,112,30,45,89,40,73,46,18,29,99,33,31,110,36,24,81,86,4,13,51,57,61,101,80,96,71,105,12,66,14,83,32,76,108,78,87,94,2,50,93,52,15,58,68,6,39,9,42,49,19,85,107,70,21,1,90,95,74,64,37,38,103,3,48,79,109,56,84,53,102,41,26,54,47,62,10,98,17,5,88,72,77,75,16,23,34,104,20,91,8,92,111,97,43,44,65
1: 28,69,63,22,67,59,60,25,35,55,100,82,11,106,112,45,7,30,89,40,27,73,46,4,29,81,61,80,86,99,18,105,101,33,31,12,13,58,24,36,110,57,83,51,52,66,108,76,6,96,94,14,78,32,2,87,93,71,42,15,39,9,50,49,64,85,38,95,70,68,19,48,21,107,79,37,74,1,62,90,84,103,109,102,53,56,41,47,3,54,10,88,72,17,26,20,5,77,98,16,75,91,104,92,34,23,111,8,43,97,44,65
1: 28,69,63,22,59,67,60,25,35,11,55,100,82,45,7,30,112,89,73,40,46,106,27,80,105,99,81,4,18,101,36,66,33,86,12,6,110,83,29,24,31,57,61,51,58,76,87,13,50,42,78,9,52,2,108,64,96,93,94,32,15,21,14,107,19,85,79,49,39,48,62,90,103,74,95,71,68,38,70,37,1,47,56,84,109,102,41,53,10,3,88,16,104,72,17,26,54,5,20,91,77,75,23,92,98,34,8,97,111,44,65,43
1: 28,69,59,60,22,67,25,63,35,55,11,40,82,7,30,45,73,112,6,106,100,80,46,27,101,105,86,89,78,31,18,4,36,24,76,9,29,66,110,83,13,99,81,33,51,58,52,12,2,94,87,61,15,50,14,93,95,64,19,62,57,108,42,48,103,21,96,32,39,90,70,71,68,38,79,49,37,74,107,85,84,1,109,3,47,5,102,20,16,56,88,41,53,72,10,17,91,34,54,75,104,26,97,98,23,77,92,44,111,8,65,43
1: 25,69,28,60,67,55,63,59,82,40,7,35,22,30,45,73,11,112,6,106,83,100,80,4,27,46,29,105,36,78,31,51,18,101,86,66,24,89,110,76,9,61,93,13,87,58,81,94,52,12,2,99,33,50,14,19,64,95,57,103,42,21,71,62,48,39,90,96,108,37,38,70,74,15,32,1,79,68,49,107,85,75,84,109,47,88,16,102,3,20,5,56,10,34,41,53,72,91,54,26,17,104,98,23,77,97,92,111,43,44,65,8
1: 69,25,28,60,67,55,63,22,82,35,59,45,100,73,18,30,112,106,40,66,7,4,6,11,101,27,83,78,51,46,110,80,86,58,36,52,105,89,24,61,76,2,31,12,93,87,29,33,9,21,14,19,71,95,99,50,103,94,13,107,90,81,39,57,96,48,15,74,38,37,42,62,85,64,70,1,108,47,68,84,49,32,79,75,109,20,102,3,41,88,56,10,53,34,16,54,5,91,104,17,26,72,98,77,97,23,92,111,43,44,65,8
1: 25,28,69,60,63,67,55,22,35,82,112,45,73,100,18,30,106,40,59,11,7,101,4,6,76,105,83,46,27,110,51,58,36,66,52,2,89,61,24,31,78,93,14,29,87,86,99,90,33,94,12,39,19,80,71,95,107,50,103,81,62,32,9,21,96,85,13,74,42,57,48,64,15,38,37,1,108,47,49,68,70,84,75,3,79,104,53,41,91,26,20,56,88,109,16,10,34,5,17,98,102,72,54,77,23,97,92,111,43,44,65,8
1: 25,28,69,60,63,67,55,35,82,112,27,73,30,100,40,59,106,22,18,11,36,101,7,4,6,76,45,105,83,89,110,58,51,31,66,52,2,39,61,24,46,93,14,78,29,90,99,33,94,12,19,80,86,87,71,95,107,50,103,81,62,96,32,9,21,85,1,13,74,42,57,48,64,15,38,37,108,47,49,68,70,84,75,3,79,104,53,41,91,26,20,56,88,109,16,10,34,5,17,98,72,102,54,77,23,97,92,111,43,44,65,8
1: 25,28,69,60,63,67,55,35,82,112,73,100,27,30,40,59,22,18,11,36,101,7,4,6,106,76,45,105,83,110,89,58,51,93,31,66,52,2,39,61,24,46,78,29,90,99,14,33,94,12,19,80,86,87,71,95,107,50,103,81,62,96,32,9,21,85,1,13,74,42,57,48,64,38,15,37,108,47,49,68,70,84,75,3,79,104,53,41,91,26,20,56,88,109,16,10,34,5,98,72,102,17,54,77,23,97,92,111,43,44,65,8
1: 28,69,25,67,63,40,55,35,112,82,100,59,60,7,45,58,22,4,78,31,36,76,83,24,27,106,80,101,105,73,33,2,18,99,11,12,90,30,89,6,110,29,95,42,66,51,71,61,19,52,85,94,15,46,14,108,81,86,50,13,9,49,103,93,47,1,62,57,74,32,39,96,107,68,87,38,5,56,64,21,48,37,104,70,109,79,34,84,75,88,77,72,3,20,102,16,97,17,23,54,98,10,91,26,41,111,53,92,65,44,8,43
1: 63,28,100,27,82,25,40,35,7,67,112,69,59,22,108,15,55,86,78,4,105,60,58,89,71,31,18,80,24,57,33,96,11,12,14,85,19,56,47,76,73,99,45,13,81,42,2,39,30,46,106,52,90,101,103,32,50,21,3,83,94,9,51,49,29,74,107,95,37,54,110,38,93,1,64,87,102,109,36,68,77,61,6,79,72,41,34,48,5,70,84,97,65,88,104,75,17,53,26,111,62,23,20,98,92,16,66,91,10,44,43,8
1: 28,63,40,100,35,25,67,59,82,106,27,112,7,69,60,22,108,15,33,55,78,29,58,89,31,12,71,105,4,57,80,85,18,45,24,13,61,86,99,14,83,95,73,90,11,56,77,76,49,96,47,101,1,81,2,30,36,46,51,42,19,50,9,110,54,94,3,109,52,68,21,39,74,64,103,23,37,6,32,93,102,38,87,5,98,75,66,62,97,70,72,107,79,104,48,88,17,84,41,20,111,26,10,34,53,16,92,44,91,65,8,43
1: 28,100,7,63,67,22,35,59,27,25,40,82,106,112,60,29,55,15,69,108,58,78,31,80,89,71,33,105,85,45,24,12,14,36,18,83,13,86,96,99,57,61,81,47,73,4,46,49,90,95,11,101,110,76,1,30,42,54,77,51,56,2,94,50,9,19,52,3,74,66,64,39,21,109,103,93,37,68,32,6,102,5,98,87,38,72,23,97,70,88,107,62,48,79,84,75,104,17,111,41,26,10,34,44,16,91,53,92,20,65,8,43
1: 28,63,67,59,82,100,40,112,35,7,69,25,58,22,55,108,15,60,29,106,78,45,80,105,31,27,89,85,4,33,12,57,11,61,24,81,86,83,99,71,73,36,14,18,95,47,13,101,46,49,30,42,90,76,96,52,94,51,2,6,19,110,1,77,9,56,64,50,74,39,21,87,66,32,109,68,3,62,93,103,38,72,79,102,5,88,54,48,37,70,107,84,75,97,23,104,98,17,111,10,41,34,91,16,20,44,26,53,92,65,8,43
1: 28,63,59,67,69,100,40,35,25,82,112,22,60,55,7,15,45,58,78,80,105,108,99,11,4,31,27,33,29,12,57,101,24,89,36,83,46,106,85,81,73,18,49,6,90,76,42,30,61,86,71,66,2,95,51,52,13,94,14,47,19,96,9,110,50,1,21,87,68,64,77,103,74,39,56,62,32,79,107,93,109,38,104,48,72,3,37,88,102,70,54,5,84,16,97,23,17,34,75,41,98,10,20,91,111,26,92,53,65,44,8,43
1: 28,59,67,40,63,69,25,82,60,35,100,22,7,78,55,112,45,11,15,80,58,31,105,4,108,24,27,106,12,99,29,101,33,6,76,89,95,36,83,90,73,30,66,18,46,19,2,86,61,42,13,57,81,51,9,71,94,52,85,49,110,47,14,50,68,87,1,103,62,64,96,5,32,21,56,109,74,70,93,77,39,48,38,107,37,79,3,104,34,84,88,72,97,102,20,16,75,54,10,17,23,98,91,41,111,26,44,65,53,92,8,43
1: 28,67,40,69,63,25,7,100,82,59,35,60,78,55,112,22,45,80,58,31,4,11,106,12,105,83,29,101,24,99,6,15,27,36,76,89,73,33,66,30,95,61,90,108,51,46,86,18,2,13,110,19,71,94,9,42,57,81,14,85,50,52,68,1,47,49,103,64,87,74,62,5,96,93,109,21,32,56,48,38,70,107,75,88,39,37,72,77,79,84,34,104,102,3,16,20,97,23,54,10,17,98,91,111,41,26,53,44,65,92,8,43
1: 28,69,67,25,63,40,55,82,100,35,60,112,59,22,45,78,7,4,58,80,106,31,24,66,83,105,36,27,76,33,18,6,101,15,11,2,29,12,30,73,89,46,99,110,51,61,86,71,90,95,42,14,52,19,9,108,13,94,57,81,85,49,103,47,50,74,87,96,21,93,68,62,107,1,38,32,64,48,56,39,5,37,70,104,109,34,75,79,84,88,77,3,72,20,102,16,17,97,54,23,10,41,98,111,91,26,53,92,44,65,8,43
1: 28,67,25,69,63,40,55,112,35,100,82,60,22,59,45,7,78,4,58,76,31,24,83,106,80,105,18,36,33,2,101,27,11,6,99,90,73,30,29,12,89,66,95,51,42,46,110,71,15,52,61,14,85,19,94,86,108,81,9,13,50,103,49,57,47,93,62,87,96,32,107,74,68,1,39,38,21,5,56,64,37,48,104,70,84,109,34,79,75,3,88,77,72,20,102,16,17,97,54,23,98,10,91,26,41,111,53,92,65,44,8,43
1: 28,69,67,25,63,40,55,35,112,100,82,60,59,7,22,45,58,78,4,31,76,27,24,36,106,83,80,105,18,2,33,101,11,6,30,73,99,29,90,12,89,66,95,42,51,71,15,110,52,14,61,85,94,19,46,81,108,86,9,13,50,103,47,49,57,62,93,39,1,96,74,32,107,68,87,38,21,5,64,56,48,37,104,70,109,34,84,79,75,88,3,72,77,20,102,16,17,97,54,10,98,23,91,26,41,111,53,92,65,44,8,43
1: 28,67,69,25,63,40,55,35,112,100,82,60,59,7,22,45,58,4,78,31,76,27,36,24,106,83,80,105,18,2,33,73,101,11,6,30,99,29,89,90,12,110,66,95,42,71,51,52,61,85,46,19,94,15,14,108,81,86,13,9,50,93,103,47,49,62,57,39,1,74,96,32,107,68,87,38,21,5,64,56,48,37,104,70,109,84,34,79,75,88,3,72,77,20,102,16,17,97,54,23,98,10,91,26,41,111,53,92,65,44,8,43
1: 28,25,67,63,69,40,100,35,55,112,82,7,58,59,60,78,45,22,73,105,4,83,36,31,101,80,95,24,76,90,106,33,27,71,18,51,12,30,2,110,99,15,29,89,6,66,61,94,108,14,11,81,50,47,42,46,52,9,85,86,57,68,19,13,103,74,62,1,93,107,39,5,49,32,96,87,64,104,21,75,56,70,37,34,48,38,109,77,10,79,84,88,3,17,102,72,91,98,54,16,23,20,97,111,53,8,41,26,43,65,44,92
1: 67,28,112,100,69,63,25,35,40,59,60,22,15,55,7,82,78,105,80,58,29,45,99,46,4,108,24,57,27,81,89,51,101,31,73,33,90,95,12,6,71,50,83,11,61,106,14,76,66,36,42,86,110,49,94,30,18,68,47,96,13,9,19,85,52,39,79,2,87,1,77,74,56,62,21,64,107,103,5,32,104,93,109,72,88,38,48,54,3,102,37,10,70,17,34,91,75,84,23,16,97,98,41,111,20,53,65,8,43,44,26,92
1: 67,28,69,40,35,25,100,63,59,60,78,112,22,15,82,7,55,45,80,58,105,95,101,31,24,108,11,4,73,27,51,6,29,90,99,46,106,12,33,76,89,71,57,81,83,30,86,50,66,14,36,61,47,19,9,13,110,68,18,94,42,49,2,87,52,1,85,5,62,103,96,64,21,32,39,109,56,79,74,77,34,70,3,37,107,84,104,93,48,38,72,88,75,20,102,97,10,17,54,91,16,98,111,23,41,53,65,8,43,44,26,92
1: 67,69,28,40,25,100,63,60,35,78,7,112,59,82,55,58,45,22,80,31,105,15,4,51,95,73,101,29,83,106,76,46,24,6,99,12,89,90,71,27,11,86,30,108,57,66,61,81,33,36,9,110,14,50,94,13,18,47,42,2,68,19,52,1,103,87,5,64,85,49,74,62,109,21,96,93,32,39,75,56,107,34,77,79,70,48,84,72,37,38,88,104,3,102,10,17,20,54,23,98,16,97,91,111,53,41,8,43,65,26,44,92
1: 67,25,28,63,69,40,100,112,35,55,82,60,7,58,22,78,59,45,73,105,31,4,80,95,27,101,36,106,83,71,24,76,18,51,30,90,29,6,33,110,12,89,15,2,99,66,11,14,61,108,46,81,94,47,52,42,86,9,50,85,57,39,68,13,74,103,19,93,62,1,107,5,87,96,32,49,64,21,104,37,48,75,109,56,70,34,38,77,10,84,79,3,88,17,72,91,102,98,16,54,23,20,97,111,53,8,41,26,43,65,44,92
1: 28,69,63,25,67,55,40,112,100,35,59,82,60,7,45,22,58,4,73,83,106,76,36,27,101,105,78,31,24,11,80,30,18,2,33,110,89,99,6,12,61,90,29,85,94,51,66,15,14,19,71,108,95,13,42,46,52,81,86,50,93,9,57,62,107,49,74,47,103,1,21,87,64,96,39,68,32,38,48,5,56,70,75,88,84,37,104,77,102,109,20,34,54,72,79,3,10,97,16,17,98,91,23,26,41,53,111,44,65,92,8,43
1: 28,63,69,60,22,67,89,18,25,87,59,82,99,45,86,4,35,30,11,100,31,106,96,57,51,52,55,7,27,83,66,33,36,103,46,40,68,101,76,112,80,107,73,71,105,53,13,74,110,37,41,19,90,84,32,109,78,24,48,50,58,2,64,17,81,56,70,12,93,61,6,79,29,26,14,1,62,75,16,39,15,20,8,92,9,38,49,54,94,21,42,77,95,85,111,47,3,72,104,5,88,108,34,98,91,102,44,43,23,65,10,97
1: 28,63,69,60,22,30,67,89,18,25,87,59,82,99,45,86,4,35,11,52,100,31,106,96,57,55,7,27,83,66,51,33,36,103,46,40,68,101,76,112,80,107,73,71,105,53,13,74,110,37,41,19,90,84,109,78,32,24,48,50,58,2,64,17,81,56,70,12,93,61,6,79,29,26,14,1,62,75,16,39,15,20,8,92,9,38,49,54,94,21,42,77,95,85,111,47,3,72,104,5,88,108,34,98,91,102,44,43,23,65,10,97
1: 69,63,28,60,67,22,89,18,87,25,59,82,86,99,4,30,35,11,100,52,31,106,96,57,45,7,101,27,83,55,46,33,66,36,13,103,112,73,51,2,76,80,40,105,53,110,68,71,74,37,78,19,90,109,32,84,12,24,50,41,107,17,70,29,61,81,58,56,79,14,64,39,93,6,21,48,26,1,20,54,15,62,75,9,16,92,38,49,72,94,8,85,95,111,42,47,77,5,104,88,3,108,23,98,34,43,65,102,10,44,91,97
1: 63,69,28,60,67,89,59,22,87,25,18,100,86,4,99,35,82,11,96,101,83,46,45,31,30,13,55,57,27,106,73,7,52,2,36,66,112,103,71,19,33,110,24,40,68,74,76,78,32,109,80,107,53,84,29,90,39,105,51,12,58,21,14,15,50,70,37,41,17,93,6,26,48,61,64,42,81,94,1,54,79,49,56,62,9,20,75,92,72,85,77,95,16,47,38,111,108,104,8,5,3,88,34,23,98,43,102,65,10,44,91,97
1: 63,69,67,60,25,59,28,22,89,45,86,87,55,100,99,35,7,11,18,112,4,101,82,27,83,66,13,57,73,30,40,106,46,76,31,52,19,2,33,71,103,68,105,36,96,107,74,109,24,29,51,58,78,32,110,80,39,37,84,12,14,41,53,93,15,21,9,6,64,48,50,70,90,81,61,42,54,1,26,85,49,94,108,56,77,20,17,79,95,38,75,62,47,72,111,3,16,92,8,5,88,102,104,98,34,65,43,10,23,44,91,97
1: 63,28,69,67,25,59,22,100,60,27,112,86,71,55,89,7,35,40,101,57,45,11,76,19,80,13,82,4,87,99,73,83,58,2,12,39,33,30,18,31,106,14,46,15,81,51,93,105,85,78,107,24,36,29,110,90,32,37,74,52,95,50,49,9,68,108,1,64,103,94,48,6,21,41,61,84,54,109,42,96,66,77,53,3,47,102,70,5,72,98,79,38,62,56,111,75,26,20,104,65,17,16,92,23,10,34,97,88,8,91,44,43
1: 63,28,69,67,59,100,25,22,112,60,27,35,55,7,82,86,4,89,71,11,99,40,57,45,33,18,101,13,106,46,76,78,24,58,19,12,73,105,15,110,83,14,39,80,30,31,50,87,36,108,2,51,96,29,107,32,85,90,74,68,81,52,6,93,42,61,103,49,1,109,94,9,21,37,95,56,64,41,54,70,84,48,66,79,53,38,77,47,102,3,72,98,75,20,5,26,62,104,88,10,17,97,34,16,92,111,65,23,44,91,8,43
1: 63,28,69,67,100,59,25,60,112,106,35,22,55,27,82,7,40,89,33,4,11,71,57,58,45,86,29,99,12,24,73,13,108,46,101,83,30,110,15,76,18,31,61,105,80,36,14,78,51,85,50,2,19,90,68,81,94,87,74,39,32,95,66,96,6,49,1,107,42,56,52,21,93,54,9,109,77,64,47,37,70,48,103,62,3,41,102,38,98,53,84,5,79,75,23,26,104,10,72,20,17,97,88,16,34,111,92,65,8,44,91,43
1: 28,100,63,67,7,69,59,22,112,55,27,25,60,35,106,82,40,29,58,71,31,15,45,89,33,24,108,73,105,18,11,13,80,46,14,86,110,36,57,99,61,4,83,30,85,78,101,12,81,76,51,94,2,96,50,66,90,49,42,9,95,1,54,47,19,68,52,74,87,6,39,93,32,56,21,64,77,107,109,37,103,98,102,3,70,38,48,5,84,62,72,10,75,23,41,88,79,53,97,104,26,34,17,16,111,20,91,44,92,65,8,43
1: 28,63,67,69,59,100,112,82,25,55,22,60,40,35,7,58,106,45,27,29,105,15,89,73,108,4,11,80,31,61,24,57,99,46,30,33,86,81,12,83,71,101,13,85,18,78,36,110,14,76,51,94,52,2,6,42,96,66,19,49,87,95,50,90,47,9,1,32,68,64,39,74,21,62,54,56,93,48,77,109,103,38,107,84,70,102,37,72,79,88,5,3,75,104,98,10,41,53,97,17,23,91,16,20,34,111,26,44,65,92,8,43
1: 28,63,69,67,59,25,100,112,82,60,55,22,35,40,7,45,105,11,27,15,99,58,106,80,89,4,73,101,24,46,57,108,33,12,31,29,83,30,18,36,81,78,76,13,110,86,61,51,66,6,85,14,94,2,71,42,19,50,52,87,49,9,90,96,21,68,95,64,47,74,32,107,39,62,103,1,48,93,56,79,77,109,38,37,104,54,84,70,5,102,88,72,3,10,75,16,41,53,20,97,98,17,34,23,91,26,111,65,44,92,8,43
1: 28,67,69,63,59,40,60,25,82,22,55,7,100,35,112,11,45,80,106,78,15,105,27,58,73,101,4,30,31,89,24,99,29,76,6,108,12,46,83,33,36,13,86,18,66,51,110,57,2,61,94,81,14,19,71,9,95,90,50,52,85,42,87,62,49,68,64,47,21,96,103,32,74,1,107,48,93,39,70,84,5,109,37,56,38,77,79,54,102,72,20,88,104,3,75,16,34,10,97,17,91,41,98,53,23,26,111,65,44,92,8,43
1: 69,28,67,63,40,25,7,100,60,55,59,82,112,35,80,45,78,22,58,11,106,4,73,105,31,83,101,12,27,29,99,6,24,30,15,76,61,36,89,110,13,46,33,66,51,108,86,94,18,2,14,85,71,81,57,95,90,9,19,50,42,52,64,1,62,21,49,87,47,74,68,103,93,5,107,96,48,32,75,70,109,38,88,39,77,102,84,54,56,37,72,20,79,34,104,10,16,97,98,23,3,17,91,41,53,111,26,65,44,8,92,43
1: 69,28,67,63,25,55,100,40,60,112,82,59,7,35,22,45,78,4,106,58,80,73,11,83,27,105,31,24,101,30,18,110,15,76,36,61,66,12,6,2,33,89,29,46,51,99,14,86,13,71,108,94,90,85,95,19,9,52,57,42,81,21,50,47,74,93,87,49,103,107,62,64,1,96,68,48,38,39,75,70,32,5,88,77,56,84,37,109,102,54,104,20,34,72,79,17,3,10,97,16,23,98,91,41,53,111,26,44,65,92,8,43
1: 69,28,63,67,25,55,112,40,100,60,35,82,22,59,7,45,4,58,106,73,78,76,105,83,11,80,24,101,31,18,27,30,2,36,110,33,6,61,12,99,29,89,15,51,46,14,85,90,66,94,71,95,108,19,86,52,13,42,81,9,93,50,57,107,62,87,47,21,49,74,103,1,64,39,96,68,32,38,48,5,56,37,75,70,84,88,104,77,102,109,34,20,54,3,17,79,72,10,16,98,91,97,23,26,41,53,111,65,44,92,8,43
1: 69,63,28,67,25,55,112,40,100,60,35,82,59,7,22,45,58,4,106,27,73,76,105,83,11,36,31,78,24,101,30,80,18,2,33,110,6,61,89,99,12,29,15,51,14,90,85,94,71,66,95,108,46,19,13,52,42,86,81,9,93,50,57,107,62,47,21,74,49,103,1,39,87,64,96,68,32,38,48,5,56,75,70,37,88,84,104,77,102,109,20,34,54,72,17,79,3,10,98,16,91,97,23,26,53,41,111,65,44,92,8,43
1: 69,28,63,67,25,55,112,40,100,60,82,35,59,7,22,45,58,73,4,27,106,76,83,11,36,105,31,78,24,30,101,80,18,110,2,33,6,89,61,99,29,12,51,90,85,71,94,66,15,14,108,13,46,95,19,52,42,86,81,93,9,50,62,57,107,74,47,21,49,103,1,87,39,64,96,68,32,38,48,5,56,75,70,37,88,84,104,77,102,109,20,54,34,72,79,3,10,17,97,16,91,98,23,26,53,41,111,65,44,92,8,43
1: 28,69,63,67,25,55,40,35,59,112,82,60,100,7,45,58,73,4,22,76,106,78,83,36,101,27,24,11,31,105,2,80,110,30,18,61,33,89,99,6,85,12,29,66,90,15,71,94,108,42,14,19,51,13,95,46,52,93,86,81,50,62,9,47,1,57,107,74,49,103,21,87,64,39,96,32,68,38,48,5,70,75,88,56,37,104,77,109,84,102,34,72,79,54,20,3,10,97,16,17,91,98,23,26,41,53,111,44,65,92,8,43
1: 28,40,100,63,59,25,80,85,69,67,7,58,71,22,89,27,86,112,60,31,57,76,101,43,55,54,73,35,11,93,45,82,13,2,14,95,106,4,9,81,74,12,90,78,19,15,108,51,30,99,83,102,21,33,39,5,46,87,64,110,111,77,107,24,36,47,105,37,94,32,52,103,61,18,29,3,49,72,42,48,50,91,70,41,6,1,53,109,96,68,56,38,84,97,65,23,104,17,98,88,62,79,44,34,66,16,26,75,10,20,92,8
1: 28,63,100,69,7,27,67,59,82,40,35,112,22,25,86,55,60,108,4,78,58,71,11,85,15,76,80,89,24,12,99,106,57,33,18,13,105,2,31,101,19,45,14,73,30,46,42,110,96,50,90,39,56,81,95,51,29,83,47,32,54,94,52,36,49,74,6,9,21,61,107,93,1,103,102,77,68,109,87,70,64,3,37,38,97,88,72,43,41,48,111,5,79,53,98,17,23,20,91,104,84,26,75,10,66,62,34,44,16,92,65,8
1: 28,63,100,67,40,69,59,106,82,60,25,35,112,7,27,55,22,108,71,58,85,33,4,89,12,76,78,29,15,99,13,11,57,80,24,61,73,86,45,31,14,101,2,105,95,83,90,110,18,36,30,77,54,1,49,46,50,51,19,81,56,74,94,42,6,9,96,21,68,93,102,47,39,64,32,109,52,23,5,70,66,107,87,98,97,3,38,62,88,103,37,48,72,41,10,79,111,104,53,75,26,17,91,84,20,16,34,44,65,92,8,43
1: 28,100,63,67,7,59,27,69,40,35,106,82,55,25,112,22,60,108,58,85,71,31,15,80,24,29,33,45,14,61,78,89,13,99,105,73,110,11,18,86,12,76,57,46,36,101,4,2,30,83,81,54,90,49,94,95,1,47,42,51,96,50,9,93,74,66,77,21,19,52,6,56,68,64,32,70,87,5,109,102,39,98,107,38,23,3,37,103,97,88,72,48,10,62,75,91,17,111,26,41,84,79,104,53,34,16,44,20,65,92,8,43
1: 28,63,67,100,59,69,82,40,112,55,35,25,58,7,60,108,27,106,45,15,22,85,29,80,11,105,61,73,31,89,4,78,24,12,57,99,71,33,86,13,81,101,46,83,110,30,14,36,18,2,94,76,49,42,47,52,51,6,95,96,19,1,90,66,64,9,21,77,50,87,54,93,74,62,32,56,39,70,68,48,109,88,102,38,72,107,5,103,37,3,79,75,84,98,97,23,10,104,111,91,41,17,34,53,16,20,44,26,65,92,8,43
1: 28,63,67,59,69,100,25,40,82,55,60,35,112,7,45,11,22,58,15,80,27,99,108,105,106,101,73,78,89,4,24,12,85,33,29,57,31,46,36,61,83,81,13,110,18,30,76,2,14,71,6,86,42,49,94,66,90,51,21,50,52,9,19,47,95,64,87,96,1,74,62,68,93,107,103,77,32,39,48,109,56,79,88,70,38,102,54,72,104,5,37,10,75,84,97,3,23,16,98,34,17,91,20,41,53,111,26,65,44,92,8,43
1: 28,67,40,59,63,69,60,25,82,55,100,35,7,11,112,45,78,80,22,15,58,27,106,105,73,101,108,24,99,31,29,4,12,76,30,6,89,85,13,61,33,36,110,2,83,46,86,18,95,14,71,66,94,57,81,90,19,42,9,51,50,52,47,49,64,62,21,87,1,68,103,93,5,74,96,32,70,48,107,109,77,39,88,38,54,56,72,102,37,84,79,75,34,97,104,3,10,20,16,91,23,98,17,111,41,53,26,44,65,92,8,43
1: 28,67,69,40,63,25,60,59,7,55,100,82,35,112,78,45,11,80,58,106,73,22,27,29,4,105,101,31,61,83,24,6,12,15,110,99,76,36,30,89,13,85,108,46,2,66,33,86,71,18,51,14,94,95,81,90,57,9,19,42,50,64,52,1,87,47,21,62,93,49,74,68,103,5,70,96,107,109,48,75,32,88,38,39,77,102,54,72,37,56,84,79,34,10,97,20,16,23,104,3,98,17,91,111,41,26,53,44,65,92,8,43
1: 28,69,67,63,25,55,40,60,100,82,59,35,112,45,7,22,78,106,58,4,11,80,73,27,110,24,61,31,101,83,105,66,18,76,15,30,6,2,36,29,12,33,46,89,85,71,86,13,99,14,108,51,95,90,19,94,42,52,9,21,57,81,93,47,87,50,74,49,62,103,64,107,1,96,68,48,38,39,75,70,32,88,5,109,77,37,54,102,56,84,104,34,79,72,20,3,97,17,10,16,23,98,91,111,41,53,26,44,65,92,8,43
1: 28,69,67,63,25,55,40,60,112,35,100,82,59,45,22,7,106,11,58,4,78,73,76,24,27,101,31,105,83,18,80,110,2,30,61,36,6,29,33,85,99,89,46,12,15,71,14,66,90,51,108,94,86,42,13,95,52,19,81,93,87,9,62,50,47,21,57,107,74,49,103,64,1,39,32,96,38,68,48,5,75,37,88,70,56,77,109,104,84,34,102,54,79,3,17,72,20,16,10,91,98,97,23,26,41,53,111,44,65,92,8,43
1: 69,28,67,63,25,55,40,60,35,112,100,82,59,7,45,22,58,27,11,106,73,4,76,78,24,31,36,101,105,83,30,2,80,18,110,61,6,29,89,33,85,99,12,71,15,14,66,90,51,94,108,13,46,42,95,52,19,86,81,93,62,9,47,50,21,57,107,74,1,87,39,49,103,64,96,32,38,68,48,5,75,70,88,37,56,109,104,77,84,102,34,72,54,79,17,20,3,10,16,98,91,97,23,26,41,53,111,44,65,92,8,43
1: 69,28,67,63,25,55,40,60,112,35,100,82,59,7,45,22,73,58,27,11,4,106,76,78,24,31,36,101,110,105,83,30,2,80,18,61,6,89,29,33,85,99,71,12,66,15,90,51,14,13,108,94,46,42,95,52,19,93,86,81,62,9,47,50,21,57,107,74,1,87,39,49,103,64,96,32,68,38,48,5,75,88,70,37,56,104,109,77,84,102,72,34,54,79,3,20,16,10,97,91,17,98,23,26,41,53,111,44,65,92,8,43
1: 28,69,55,67,25,63,35,40,60,59,82,112,100,45,7,36,76,58,22,73,4,31,83,24,11,27,101,78,106,2,80,110,30,18,61,33,6,99,89,71,85,105,15,42,19,66,12,29,46,94,108,13,93,52,14,95,9,50,86,81,51,62,90,107,47,74,87,21,38,49,57,1,32,96,39,103,109,68,64,48,88,5,70,56,37,75,104,34,84,91,72,77,97,102,79,20,3,16,17,23,10,98,54,26,41,53,111,44,92,8,65,43
1: 30,63,28,60,45,69,89,22,35,59,18,67,86,82,25,11,52,57,96,87,99,17,66,103,4,31,27,7,101,46,55,36,100,71,33,13,106,83,81,93,79,74,80,73,76,40,112,107,50,19,24,64,109,68,6,61,41,105,78,9,14,16,51,48,37,94,84,75,90,70,29,53,108,12,39,1,56,54,2,21,58,8,20,62,49,26,85,3,32,95,92,15,111,38,42,77,98,88,104,5,10,102,23,47,34,43,72,110,97,91,65,44
1: 63,60,67,69,28,89,22,35,59,18,99,30,87,86,45,82,25,11,57,96,52,17,73,103,101,4,31,27,7,2,13,36,100,33,106,83,81,93,55,74,80,61,66,40,112,76,71,68,39,19,50,29,46,24,12,21,109,6,79,14,105,9,51,78,54,37,94,70,1,90,108,53,107,84,56,64,16,41,85,5,20,75,49,58,26,47,72,32,111,62,95,92,23,15,48,38,42,8,88,77,104,102,110,10,98,34,65,3,43,91,97,44
1: 63,59,60,67,69,89,22,35,28,87,99,86,25,100,27,73,96,18,11,101,13,45,2,74,19,4,7,83,106,52,82,71,55,57,30,24,46,112,36,103,33,94,40,29,39,31,14,21,6,68,66,78,93,109,90,76,80,54,42,61,70,12,50,85,1,49,15,110,108,58,17,72,81,111,84,47,107,32,26,9,64,79,95,53,5,77,105,62,20,16,23,92,56,75,51,37,41,104,38,48,88,3,34,65,8,91,10,43,102,98,44,97
1: 59,25,63,67,60,27,69,22,35,89,45,99,86,55,73,28,100,112,7,13,19,11,87,74,101,106,83,2,40,57,14,4,76,96,39,82,42,29,21,33,24,71,109,66,68,52,49,46,36,58,6,93,103,18,9,61,30,31,85,78,54,107,70,111,94,12,108,110,15,64,1,77,47,80,90,72,81,105,95,17,50,37,5,84,32,26,79,48,38,41,56,51,102,3,88,65,20,53,62,23,75,98,92,34,16,91,10,104,8,43,44,97
1: 63,25,28,67,59,22,60,27,69,55,100,35,86,45,112,89,7,101,71,40,85,99,11,57,13,73,106,14,87,76,19,2,58,12,33,80,93,39,82,4,49,29,108,30,110,95,83,36,15,24,107,21,46,61,81,74,6,96,31,78,1,9,51,42,90,77,54,94,52,111,18,64,50,37,105,102,66,70,109,47,48,68,32,103,41,84,5,72,17,3,56,38,98,62,91,53,65,23,79,88,26,20,104,34,16,10,75,92,97,44,8,43
1: 63,28,100,27,67,59,69,25,60,35,7,22,55,112,99,40,82,86,108,11,85,45,58,71,13,57,15,4,14,106,12,89,101,76,78,33,2,110,29,73,61,24,49,46,30,36,18,50,105,80,19,95,6,96,107,39,90,31,21,83,9,1,42,51,93,94,81,87,74,70,109,54,32,102,77,52,56,68,47,64,38,88,37,111,66,48,72,103,5,41,3,23,84,17,62,98,91,79,97,53,10,34,20,65,104,26,75,16,44,92,43,8
1: 28,63,100,67,69,60,59,27,35,40,7,25,55,112,22,108,82,13,99,106,85,58,33,29,61,4,76,71,11,15,12,45,86,57,14,101,24,2,73,30,110,89,78,49,105,1,94,6,95,36,50,31,80,46,90,83,18,77,51,9,19,81,21,74,54,42,93,70,96,39,23,109,56,32,66,52,107,68,102,47,87,62,64,48,38,88,5,3,97,37,72,98,111,41,103,17,104,91,53,79,26,75,84,34,10,20,65,16,44,43,8,92
1: 28,100,67,63,27,59,35,7,69,60,25,55,108,40,112,82,22,58,15,106,61,45,85,24,33,29,99,110,71,14,13,31,73,105,86,11,30,2,46,76,89,18,80,101,78,94,49,36,12,4,57,81,1,51,83,42,95,9,66,47,90,50,21,70,93,54,52,6,96,74,109,77,19,87,107,32,56,68,64,23,39,38,102,88,48,62,37,72,5,91,97,3,98,103,84,17,111,75,26,10,104,34,41,79,53,16,65,44,20,43,92,8
1: 67,28,63,100,59,69,55,60,27,35,82,25,40,112,108,58,7,45,15,61,105,85,29,73,22,99,106,11,80,13,81,30,24,89,86,33,12,4,71,101,31,94,46,57,110,2,78,76,14,83,18,36,49,52,42,47,6,66,51,1,95,96,9,70,21,64,93,50,19,88,77,87,109,90,48,62,38,74,32,54,56,39,102,107,72,68,91,37,84,103,23,5,97,75,111,79,3,10,98,104,17,41,53,34,20,16,26,44,65,92,43,8
1: 67,63,28,59,69,25,100,60,55,35,82,40,112,45,27,108,7,99,11,15,105,58,73,101,80,22,61,89,29,85,33,46,24,106,13,12,30,110,81,36,78,4,57,76,83,18,2,31,42,94,14,86,6,71,49,21,66,52,9,50,51,90,47,64,87,95,93,19,62,1,96,74,107,48,109,77,103,88,70,68,32,39,38,56,79,102,72,23,97,91,54,84,37,5,104,75,10,111,16,3,34,20,53,17,41,98,26,65,44,92,8,43
1: 67,69,28,63,55,25,60,100,40,59,82,35,45,7,112,27,78,11,73,58,22,61,110,106,80,4,101,18,30,105,24,15,76,85,29,2,6,83,31,12,13,36,66,46,99,108,86,89,71,14,33,94,51,9,93,52,95,42,21,87,90,47,19,81,50,57,64,107,1,62,48,74,103,49,75,96,38,109,88,70,39,68,32,5,77,37,102,54,84,97,91,56,79,20,23,34,104,10,16,72,3,17,111,53,41,98,26,44,8,65,92,43
1: 67,69,28,63,25,55,60,40,35,100,82,59,112,45,11,22,7,73,27,76,58,110,61,101,78,106,4,105,24,18,30,2,85,83,29,80,31,6,99,36,46,15,12,14,71,89,108,33,94,93,13,86,66,52,90,42,19,51,95,87,81,9,47,62,50,21,107,64,57,1,39,38,74,48,103,96,32,49,75,88,109,70,68,5,37,91,77,56,84,104,102,54,97,34,20,79,23,16,10,17,3,72,53,111,98,41,26,44,92,8,65,43
1: 69,28,67,25,55,60,63,35,40,82,112,100,59,27,22,45,11,76,7,73,31,58,24,36,78,4,110,2,18,106,80,83,71,61,101,30,6,99,85,89,105,29,33,15,42,66,12,46,86,108,52,19,94,13,9,93,14,95,51,62,81,50,90,47,74,107,21,87,39,38,57,96,32,109,49,1,64,103,48,68,88,5,70,56,37,75,104,84,34,77,91,72,97,102,3,79,20,16,17,23,10,54,98,53,26,111,41,44,92,8,65,43
1: 28,69,63,25,67,82,55,40,73,59,112,100,60,35,7,22,61,45,105,30,58,110,101,106,83,27,31,94,11,89,15,36,14,24,6,18,4,71,76,108,86,2,78,50,46,29,51,66,85,80,13,95,21,33,93,64,47,99,12,81,9,57,62,87,107,52,74,90,39,42,19,103,88,32,75,96,37,70,68,77,91,48,49,38,1,97,102,20,104,84,5,3,56,23,79,54,34,10,109,72,17,98,111,16,41,26,53,65,44,92,43,8
1: 63,100,60,28,67,59,40,69,27,22,89,25,112,82,106,35,71,7,86,55,108,4,15,33,29,30,68,50,76,73,78,61,94,45,99,57,24,11,58,12,31,14,83,46,95,105,21,18,2,13,101,90,51,110,81,49,85,6,80,19,1,36,96,56,77,52,74,62,39,32,47,87,3,42,70,9,37,64,107,54,109,66,23,97,88,5,38,93,102,98,41,79,20,16,103,48,53,111,91,34,84,104,72,17,10,8,26,92,75,43,65,44
1: 100,67,63,27,28,22,60,7,69,82,25,35,59,15,71,112,106,40,55,108,29,86,50,89,61,24,105,14,30,45,46,94,31,33,58,99,110,81,11,57,18,13,51,49,68,73,12,76,78,83,36,80,66,101,4,2,95,96,85,47,90,70,21,56,9,52,6,93,42,39,107,19,3,1,37,77,74,64,54,102,38,32,88,97,48,98,87,72,109,41,23,91,84,111,16,62,34,10,79,104,53,103,20,5,26,17,75,8,65,44,92,43
1: 67,63,28,82,100,69,59,112,22,55,25,15,40,60,35,86,108,105,27,61,7,73,89,106,29,30,94,58,45,71,11,14,46,24,83,31,57,51,80,50,13,78,33,110,4,81,99,12,101,6,2,49,52,85,36,76,47,95,18,21,42,66,64,96,19,87,70,9,74,1,68,62,93,88,107,32,77,39,48,90,56,37,38,3,102,97,109,103,91,79,72,84,41,54,98,10,17,75,20,111,104,23,5,53,26,16,34,92,43,44,65,8
1: 67,28,63,69,59,82,25,100,22,112,55,40,60,15,105,35,73,7,46,11,108,89,61,45,29,86,27,30,106,80,110,101,24,94,57,14,50,58,78,99,71,4,51,6,83,13,33,31,21,18,12,81,2,36,66,95,76,47,64,49,9,42,87,52,85,107,62,19,90,74,96,93,39,77,68,48,103,88,32,1,56,70,97,79,91,38,102,37,104,109,3,72,10,84,75,20,23,17,41,54,5,16,53,34,111,98,26,92,65,43,44,8
1: 28,67,69,59,82,25,60,40,63,22,55,15,11,73,100,112,35,7,30,45,86,105,106,61,108,46,29,27,101,78,89,94,110,14,6,58,31,13,24,50,80,71,51,21,83,99,76,95,18,33,4,47,57,2,9,64,66,12,87,36,81,62,19,52,42,49,107,85,103,90,74,88,68,39,93,48,32,70,97,96,77,1,37,3,102,91,38,56,84,79,20,109,72,75,5,104,34,17,10,54,23,41,16,111,98,26,44,65,92,53,43,8
1: 28,69,67,25,82,40,60,63,59,55,73,112,7,100,22,11,61,30,45,105,15,35,86,106,46,29,110,94,78,89,14,108,27,13,6,83,31,101,58,51,71,80,50,4,21,76,24,9,57,36,64,18,95,2,47,99,66,81,12,87,33,19,62,93,52,42,74,85,88,107,103,90,49,48,70,39,75,68,37,1,32,77,102,96,97,91,38,20,3,109,79,72,56,84,23,10,34,5,54,17,104,111,98,41,16,26,65,92,44,53,43,8
1: 69,28,67,25,82,63,55,60,40,100,73,22,59,112,45,61,86,35,30,106,7,15,110,46,105,14,11,78,58,27,71,101,94,6,21,29,51,89,4,13,108,18,83,31,66,24,80,36,2,76,95,9,50,47,57,64,12,87,99,33,81,85,52,93,107,74,19,103,62,42,88,39,90,48,70,75,96,37,77,49,97,68,102,91,38,32,20,3,54,1,17,84,104,79,56,34,109,23,5,10,72,111,41,16,98,53,26,65,92,44,43,8
1: 28,69,25,67,63,82,55,22,60,112,40,73,100,59,35,45,106,30,61,7,110,105,14,86,11,15,101,71,46,94,58,18,27,6,29,89,83,108,76,78,24,31,4,51,2,95,21,50,36,13,66,47,80,85,64,81,93,87,33,9,57,107,12,99,62,52,39,74,42,90,103,19,88,37,75,96,70,32,91,48,68,77,49,38,97,102,3,104,1,20,84,5,54,17,56,34,79,98,23,10,109,72,111,41,16,26,53,65,92,44,43,8
1: 28,69,25,67,63,82,55,60,112,40,73,100,22,35,59,30,106,61,7,110,105,14,45,27,11,15,101,71,58,94,86,31,18,29,6,46,89,83,76,108,36,2,24,51,4,95,78,21,50,13,47,66,80,85,64,93,81,33,9,57,107,87,39,12,99,62,52,74,42,90,103,19,88,37,96,70,75,32,91,48,68,77,49,38,97,1,102,104,3,20,84,5,54,17,34,56,79,98,23,10,72,109,111,41,16,26,53,65,92,44,43,8
1: 28,69,25,67,63,55,82,73,40,60,112,100,59,22,35,30,110,7,61,105,106,27,45,58,11,101,14,71,18,89,31,15,94,86,6,83,46,36,76,4,24,108,29,2,51,78,21,66,80,13,85,50,93,95,33,47,64,99,81,9,12,52,57,87,39,62,107,74,90,19,42,103,88,37,32,96,75,70,77,48,91,68,49,38,97,1,102,3,104,20,84,5,56,23,54,34,79,109,72,10,17,98,111,16,41,53,26,65,44,92,43,8
1: 63,28,100,67,25,69,55,112,59,82,40,58,35,73,60,45,105,7,101,22,4,31,61,15,30,83,76,18,71,36,89,2,33,106,99,29,27,24,78,80,66,6,14,50,11,110,94,81,12,57,93,108,85,13,51,9,42,46,103,90,86,95,62,87,74,107,64,38,75,96,19,77,47,1,52,68,49,21,56,102,104,34,32,39,70,109,79,23,84,37,72,5,17,111,88,20,48,97,54,10,91,41,26,3,44,98,16,53,92,8,65,43
1: 100,63,82,69,7,27,28,35,60,67,40,112,86,108,22,99,71,14,4,58,15,25,55,2,59,57,89,101,78,12,80,11,30,33,95,31,85,76,19,56,13,110,73,105,90,46,83,106,45,107,24,39,51,42,32,50,94,81,77,29,21,54,47,74,61,97,52,18,9,68,96,6,93,70,109,36,38,1,88,102,66,111,48,103,79,64,37,72,3,87,49,43,5,23,41,98,34,91,10,84,104,17,53,20,44,26,75,62,92,16,65,8
1: 100,28,63,67,69,7,82,60,112,40,59,108,35,58,22,25,27,33,55,71,4,106,15,99,85,12,29,14,86,31,73,105,89,57,13,76,11,90,24,56,61,45,101,80,95,78,2,50,83,19,30,51,46,21,23,81,110,54,94,77,68,18,9,47,36,97,42,62,1,6,107,102,93,32,3,5,74,66,49,38,52,96,39,70,111,64,48,109,98,88,87,79,84,91,72,37,10,34,103,26,53,17,75,16,43,41,65,104,20,44,8,92
1: 100,67,28,7,69,63,27,112,40,59,22,15,58,60,14,108,55,82,35,25,80,85,71,99,106,73,29,31,61,101,105,12,24,78,89,110,86,30,18,94,33,57,46,4,76,11,81,90,13,2,66,36,45,83,51,56,95,47,50,9,54,93,49,42,1,23,96,77,19,21,38,3,68,107,102,97,74,6,70,87,64,52,62,39,72,34,111,98,109,5,37,91,32,88,48,79,84,103,10,17,26,75,41,92,53,44,65,16,43,8,20,104
1: 100,67,69,63,28,40,112,58,82,15,55,108,59,105,80,7,25,22,60,85,35,12,29,31,73,81,61,27,99,94,101,110,71,46,45,11,4,89,86,30,106,57,24,78,95,83,18,66,14,51,13,76,9,33,2,90,93,36,6,42,56,87,52,47,50,64,91,19,96,107,38,49,88,77,23,1,62,74,79,21,109,39,48,68,103,3,72,54,32,102,70,84,5,111,75,97,98,10,34,53,37,20,17,104,44,41,16,65,92,43,8,26
1: 67,100,69,63,28,40,105,55,82,80,112,59,22,15,7,60,25,73,58,108,4,35,45,99,101,12,11,46,31,89,81,78,57,85,18,30,110,24,13,29,76,94,51,27,33,106,83,66,95,36,9,71,6,14,21,2,42,86,61,90,50,19,52,93,87,88,64,49,77,103,79,38,107,47,56,23,96,91,39,74,62,109,1,68,32,104,48,3,111,72,34,97,70,20,102,5,75,10,84,53,16,54,98,65,37,44,17,41,26,8,92,43
1: 28,67,60,69,63,55,105,59,25,100,7,40,112,101,15,30,82,22,11,35,73,18,80,110,58,78,29,45,6,94,13,95,81,4,89,76,108,83,24,99,46,12,31,36,27,86,2,87,51,50,106,71,57,42,85,19,14,93,33,9,66,52,88,61,47,90,64,109,62,103,56,49,21,107,38,77,96,79,68,111,70,5,32,34,23,91,48,74,1,84,102,97,72,39,75,3,20,16,104,37,41,65,44,17,98,92,53,54,10,8,26,43
1: 67,69,55,28,63,25,100,60,105,7,15,82,59,112,40,58,101,29,35,22,45,6,110,73,76,11,61,4,86,89,27,46,78,31,30,13,12,18,83,71,33,94,80,36,9,24,108,106,14,99,57,93,81,2,66,87,85,50,51,64,62,95,42,52,103,90,21,75,38,88,47,49,96,70,19,77,74,109,23,72,102,56,1,107,97,32,37,34,48,79,84,68,39,111,91,104,5,20,16,3,10,54,44,41,53,92,17,98,26,65,8,43
1: 69,67,55,25,28,100,63,58,60,82,15,112,105,45,59,4,22,18,35,27,29,101,40,33,61,86,89,110,6,30,73,76,71,46,11,31,106,83,80,108,78,7,2,36,85,14,13,24,57,9,94,87,12,99,93,66,51,81,103,64,50,95,19,21,38,90,62,47,42,75,96,52,74,77,1,107,88,23,72,97,56,70,109,49,102,79,39,68,34,48,37,111,32,104,84,54,20,91,3,17,10,5,41,92,53,26,44,16,98,8,65,43
1: 67,25,100,69,55,28,63,112,58,40,60,82,22,35,45,59,4,18,105,29,27,101,33,73,15,76,30,61,71,89,11,106,7,14,36,31,86,6,78,83,46,80,108,24,2,12,110,94,99,85,87,93,51,81,57,66,9,50,90,13,47,95,62,42,64,74,103,38,75,96,1,52,21,19,56,109,107,77,49,39,68,104,102,37,32,23,84,88,70,34,79,97,48,111,72,20,3,91,54,17,5,10,26,41,53,98,44,92,16,8,65,43
1: 67,55,69,63,25,100,28,112,60,40,58,82,35,22,59,105,18,15,73,101,33,31,76,29,4,27,11,61,45,71,110,36,106,30,14,2,6,13,24,89,78,99,46,80,94,7,12,108,83,85,86,51,81,93,50,42,9,90,57,47,95,66,87,64,74,38,103,52,96,62,19,21,75,49,56,77,39,109,32,1,23,70,79,68,84,107,104,88,72,48,37,34,102,54,53,17,111,20,97,3,5,98,41,91,26,10,92,16,44,65,8,43
1: 67,100,25,69,63,55,28,40,58,112,22,35,60,82,27,73,105,59,4,18,71,45,29,61,33,76,30,11,101,31,89,15,36,106,14,110,2,7,99,80,6,108,78,83,24,94,46,86,51,93,85,81,50,13,66,12,57,90,9,95,87,103,74,47,42,62,75,52,96,21,38,107,1,64,19,39,104,77,68,109,56,49,32,37,84,102,72,48,70,34,79,88,23,54,3,5,111,17,20,97,91,26,41,10,98,16,53,44,92,8,65,43
1: 25,28,69,55,63,67,112,35,82,60,40,100,22,73,45,7,59,105,101,58,30,6,106,78,110,29,27,31,46,76,4,24,83,51,71,36,11,18,14,81,86,89,66,95,15,61,2,94,39,80,90,52,50,33,12,108,87,57,42,13,99,103,96,1,37,9,107,85,74,62,47,68,64,93,21,19,32,75,49,70,79,48,38,88,5,84,3,104,109,56,34,17,16,10,102,97,98,77,91,72,20,26,23,54,41,53,111,92,65,8,43,44
1: 89,22,63,59,69,67,60,35,28,7,18,96,87,99,25,33,27,100,4,76,82,73,86,52,57,11,106,80,112,46,31,2,30,45,40,24,103,55,51,101,74,90,36,83,66,81,78,37,68,6,56,71,50,32,93,58,12,110,13,88,41,64,79,19,70,20,111,1,53,29,108,14,61,17,95,21,107,84,39,72,48,105,75,42,109,9,85,102,38,94,26,15,62,5,47,8,16,97,92,23,98,49,77,54,10,3,34,43,104,65,44,91
1: 89,22,63,59,69,67,60,35,28,7,18,96,87,99,25,33,27,100,82,86,76,11,4,2,73,106,112,46,80,45,40,57,55,103,52,31,24,101,74,83,90,66,51,78,68,36,6,32,71,30,19,81,13,58,12,110,64,93,70,1,88,108,56,42,29,79,14,21,107,17,95,41,53,111,84,39,72,48,94,50,20,109,15,85,9,105,75,62,102,38,26,77,61,5,47,49,3,37,92,8,97,23,16,98,54,10,34,43,104,91,65,44
1: 22,63,59,69,67,60,35,28,25,7,99,89,27,100,86,11,112,76,45,82,33,73,55,106,87,4,96,18,40,2,57,80,103,52,31,68,24,101,51,83,46,66,74,13,78,36,71,32,19,6,30,81,58,12,110,93,64,90,1,108,42,15,105,29,37,70,14,107,17,95,41,21,88,111,39,85,9,56,53,84,109,79,48,94,50,72,61,38,75,62,20,102,26,77,5,47,49,3,92,8,16,97,23,98,54,10,34,43,104,65,91,44
1: 22,63,69,28,35,60,25,100,67,59,89,27,112,86,11,7,33,82,55,106,76,40,71,57,101,99,45,4,96,80,2,73,18,103,31,24,81,52,51,87,46,83,13,90,78,36,19,74,68,6,39,12,32,30,58,66,110,93,1,108,42,15,105,29,37,64,95,14,107,41,21,50,85,48,70,79,53,88,111,56,38,17,94,9,49,84,61,62,109,75,102,98,72,77,97,26,20,5,47,3,92,8,16,23,54,10,34,104,65,91,43,44
1: 22,63,69,28,35,60,25,100,67,59,27,89,112,86,11,7,33,82,55,106,40,71,99,57,45,4,96,24,76,101,46,73,51,81,18,31,78,80,103,83,13,2,90,105,52,87,19,36,39,42,74,68,32,30,58,66,110,6,12,15,108,1,50,29,93,95,14,107,37,64,21,38,79,70,85,41,48,88,56,9,49,53,94,109,61,84,111,17,62,75,102,98,72,77,97,26,20,5,47,3,92,16,23,54,10,34,8,104,65,91,43,44
1: 22,63,69,28,35,60,25,100,67,59,27,112,33,106,7,55,40,11,71,57,29,24,82,76,46,4,86,45,89,101,73,99,51,81,96,31,13,2,105,18,30,83,78,80,12,68,103,36,90,52,19,87,42,74,32,66,110,6,95,15,108,58,50,1,39,93,14,61,21,64,107,37,56,85,38,48,79,70,49,94,41,9,88,62,3,109,84,53,102,77,111,17,26,97,23,20,47,5,54,98,72,75,16,92,10,34,8,104,65,91,43,44
1: 22,69,28,35,25,100,63,67,59,7,60,27,112,106,55,29,11,71,24,82,40,45,33,46,86,73,57,81,31,76,101,99,51,13,96,4,105,30,89,36,18,83,78,80,2,12,110,15,90,52,66,68,103,87,19,42,108,32,58,1,14,6,50,61,95,74,39,93,94,49,64,21,37,85,56,79,70,48,9,38,107,88,3,102,41,109,84,53,62,47,17,72,77,111,26,54,5,97,23,98,10,34,16,75,91,20,92,104,8,65,43,44
1: 22,69,28,35,25,63,67,59,60,112,100,55,29,82,45,27,7,40,46,86,11,106,24,73,81,105,57,71,31,33,101,76,4,30,89,58,99,13,15,51,83,80,78,36,52,12,18,61,96,110,42,108,2,94,87,6,66,90,32,68,1,14,95,19,103,74,39,50,93,49,64,21,79,37,85,48,70,62,47,9,56,88,38,107,102,41,84,53,3,109,17,72,77,75,111,54,5,97,23,10,20,91,16,104,34,98,26,92,8,65,43,44
1: 22,69,28,35,25,63,67,59,60,112,100,55,45,82,7,40,46,11,105,24,81,101,73,27,29,57,15,33,4,76,86,89,30,106,99,51,80,78,71,31,58,108,83,36,6,13,18,110,12,66,42,52,2,87,61,96,50,94,95,90,68,32,1,103,74,64,39,14,19,49,93,21,79,85,9,107,62,48,47,37,70,56,88,38,102,41,77,53,3,109,17,104,75,16,84,97,5,72,54,10,91,23,111,20,34,98,26,92,65,8,43,44
1: 25,69,28,67,60,55,35,22,45,82,40,7,59,63,112,100,73,105,106,78,30,51,29,31,76,6,11,101,46,86,81,15,4,24,57,27,71,83,89,80,58,33,36,110,66,13,18,95,61,108,12,52,42,2,87,94,99,50,103,68,90,14,64,9,1,21,74,19,96,93,49,47,37,39,32,62,75,70,79,85,48,38,88,109,107,3,84,5,102,56,16,17,34,104,97,20,10,77,23,72,91,41,54,53,98,111,26,92,65,8,43,44
1: 25,69,28,67,60,55,35,22,45,82,112,63,100,40,78,59,73,106,7,30,6,101,105,51,46,86,29,4,110,15,76,31,24,11,71,27,58,66,18,81,14,36,57,83,89,80,95,13,61,12,52,2,33,87,108,94,42,103,50,99,90,21,9,96,1,74,68,64,47,93,19,107,37,39,49,62,75,70,85,79,48,38,32,88,109,84,3,5,102,56,17,34,16,104,97,20,10,77,23,72,91,54,41,53,98,111,26,92,65,8,43,44
1: 25,28,67,55,69,63,22,112,35,60,45,82,100,40,73,106,30,7,59,105,6,101,29,78,71,110,76,24,51,4,46,31,86,18,11,27,14,81,58,83,36,15,66,89,95,61,2,94,80,90,52,33,87,12,108,57,42,13,50,99,103,39,96,1,37,9,107,85,74,62,47,21,68,64,93,19,32,75,49,70,79,48,38,88,5,84,3,104,109,56,17,34,16,10,102,97,98,77,91,20,26,23,72,54,41,53,111,92,65,8,43,44
1: 25,28,67,55,69,63,112,35,60,82,22,100,40,73,30,106,45,7,59,105,6,101,29,71,27,58,110,78,31,76,51,4,24,18,11,46,14,86,81,83,36,89,15,66,95,61,2,94,39,80,90,52,33,12,87,108,57,42,13,50,99,103,96,1,37,9,107,85,74,62,47,21,68,64,93,19,32,75,49,70,79,48,38,88,5,84,3,104,109,56,17,34,16,10,102,97,98,77,91,72,20,26,23,54,41,53,111,92,65,8,43,44
1: 25,28,67,55,69,63,112,35,60,82,22,100,40,73,30,45,7,59,105,6,101,106,29,71,27,58,110,78,31,76,51,4,24,18,11,46,14,86,81,83,36,89,66,95,15,61,2,94,39,80,90,52,33,12,87,108,57,42,13,50,99,103,96,1,37,9,107,85,74,62,47,21,68,64,93,19,32,75,49,70,79,48,38,88,5,84,3,104,109,56,34,17,16,10,102,97,98,77,91,72,20,26,23,54,41,53,111,92,65,8,43,44
1: 25,63,40,22,35,60,28,7,27,69,71,99,82,95,59,13,11,86,100,15,14,2,67,12,19,81,50,112,108,45,110,76,29,107,61,83,51,6,80,58,105,33,49,55,46,37,30,101,78,39,73,1,93,68,111,90,47,87,36,57,66,42,21,77,89,85,52,102,32,48,24,9,94,74,18,41,70,64,109,97,96,3,88,38,98,31,103,72,62,84,17,16,20,91,4,79,23,65,92,53,5,26,56,54,104,106,34,75,8,44,10,43
1: 106,82,63,25,7,40,22,69,35,86,28,112,60,27,100,11,14,99,71,108,59,67,15,13,50,95,29,33,45,78,105,110,107,61,55,58,2,19,83,51,46,12,6,81,30,42,57,90,89,32,39,96,73,68,37,76,24,101,80,1,49,21,102,66,93,111,88,4,48,87,36,47,52,38,85,94,97,74,70,79,77,18,9,109,64,3,103,31,41,98,84,62,72,34,56,20,17,16,10,65,92,91,53,5,26,23,75,104,54,8,44,43
1: 40,63,69,25,106,22,28,35,7,112,60,27,108,100,29,82,86,59,71,11,67,15,14,61,55,95,13,33,73,30,46,50,12,76,110,57,2,24,99,6,105,83,51,45,94,19,68,66,81,58,4,101,49,78,107,96,32,89,42,39,36,85,90,47,37,31,1,80,77,52,93,21,48,62,3,111,97,102,38,70,74,88,54,9,18,64,23,87,56,79,109,41,98,84,20,10,8,103,34,16,72,65,17,91,5,75,53,104,26,92,43,44
1: 25,63,69,28,106,22,100,27,35,7,112,82,108,67,40,60,59,86,15,71,29,11,61,14,30,55,45,46,110,105,73,24,66,94,13,50,33,99,51,81,95,12,58,2,57,76,96,78,101,83,49,6,89,36,47,80,19,68,107,31,85,1,70,42,18,32,93,90,4,48,102,39,37,77,88,9,52,21,3,54,97,74,111,38,64,91,62,87,56,23,34,98,10,79,41,84,72,109,103,8,20,16,75,17,104,65,5,53,26,92,43,44
1: 69,28,63,25,112,82,35,22,108,67,60,40,100,59,86,27,15,29,30,55,7,61,106,71,105,11,14,45,73,94,81,110,46,58,12,13,51,50,89,57,33,6,95,83,80,78,99,101,76,47,24,66,31,2,96,42,88,36,32,49,19,85,107,4,21,70,52,93,39,64,18,48,1,68,102,37,87,77,90,9,74,62,79,91,111,97,3,38,20,54,56,41,10,75,17,84,98,23,34,72,103,104,109,8,16,53,65,26,5,92,43,44
1: 28,69,63,25,35,22,60,82,112,67,59,11,40,100,108,15,55,30,29,7,61,105,27,45,106,86,46,71,110,14,73,81,57,89,6,51,94,50,12,101,80,33,95,99,13,78,76,58,21,83,24,42,47,66,2,107,18,96,64,4,31,36,88,87,85,39,93,32,49,9,19,97,62,79,48,90,70,52,74,102,77,1,91,68,37,111,20,75,103,38,104,3,41,56,16,10,34,17,23,84,65,54,72,5,98,8,109,92,53,26,43,44
1: 28,69,25,60,35,82,59,63,67,22,11,40,112,30,15,73,55,86,7,100,108,61,45,106,29,14,110,105,27,94,71,46,101,6,76,13,95,78,51,50,47,89,12,21,31,81,57,58,83,80,33,64,99,87,24,2,18,42,66,9,19,36,88,97,39,107,96,62,70,4,85,93,32,90,68,49,37,52,74,1,3,103,79,48,77,91,75,102,111,20,38,34,84,5,104,41,16,72,17,54,109,65,56,23,10,98,8,92,26,53,44,43
1: 28,69,25,60,82,67,112,63,40,35,59,11,30,22,7,55,73,86,61,106,100,15,45,110,29,14,71,105,94,46,108,76,27,13,51,95,78,6,89,50,31,47,81,57,83,101,64,12,58,21,80,2,87,66,42,9,24,36,18,33,93,99,4,88,19,107,39,85,97,96,74,70,75,62,52,103,32,68,90,37,1,49,91,102,79,48,3,20,77,111,38,23,5,34,84,16,104,72,98,41,54,17,109,10,56,65,8,92,26,53,44,43
1: 25,28,69,55,82,63,35,112,67,40,73,22,60,100,45,59,7,106,101,105,6,30,29,71,31,76,27,11,58,110,24,36,83,18,14,46,86,66,51,78,81,2,15,94,4,61,9,89,95,12,50,39,93,80,107,57,108,52,33,87,47,99,42,103,62,37,13,74,68,96,85,75,90,19,32,21,1,48,70,38,3,17,34,49,5,79,104,64,72,20,102,16,84,109,56,26,10,88,77,91,54,98,41,53,23,97,111,65,8,92,43,44
1: 22,63,28,69,89,35,67,59,18,96,33,7,11,60,87,73,30,93,99,103,106,76,57,100,25,46,4,82,107,86,31,71,52,27,101,79,55,112,81,66,40,51,17,6,45,80,74,41,24,36,83,37,68,78,19,13,20,95,8,56,90,48,53,12,62,110,50,58,32,105,109,29,85,64,14,39,111,102,42,2,77,16,1,108,49,9,72,94,26,61,88,21,70,84,92,38,3,75,104,54,5,98,34,10,43,15,23,47,65,97,91,44
1: 22,63,28,69,89,35,67,59,18,96,33,7,11,60,30,87,73,93,99,103,106,76,57,100,25,52,46,4,82,107,86,31,71,27,101,79,55,112,81,66,40,17,6,45,80,74,41,24,36,51,83,37,68,78,19,13,20,95,8,56,90,48,53,12,62,110,50,58,105,109,32,29,85,64,14,39,111,102,42,2,77,16,1,108,49,9,72,94,26,61,88,21,70,84,92,38,3,104,75,54,5,98,34,10,43,15,23,47,65,97,91,44
1: 22,28,63,69,89,67,35,59,18,96,33,7,87,11,60,99,73,93,103,106,76,57,100,25,52,30,4,82,86,31,46,112,40,27,71,45,81,101,55,17,6,2,80,74,24,36,107,79,83,51,37,12,68,78,19,50,62,95,56,13,110,90,58,66,53,20,41,39,85,105,109,29,32,72,1,14,21,111,108,64,102,42,61,8,77,49,9,94,16,26,48,88,38,70,84,54,104,47,5,92,75,98,10,23,34,15,3,43,65,97,91,44
1: 22,28,69,89,59,63,67,35,96,7,33,18,87,11,60,99,106,100,46,76,25,82,86,73,103,4,27,57,71,31,112,40,101,2,74,93,45,6,52,80,107,24,55,78,58,12,68,83,19,30,81,110,13,17,90,36,95,51,66,20,85,29,42,32,14,72,50,109,94,79,21,1,108,39,53,37,64,49,84,62,26,9,70,41,77,15,105,3,48,56,111,102,61,38,104,16,8,88,54,47,5,75,23,43,91,92,10,98,34,65,97,44
1: 22,69,59,63,28,67,35,7,11,25,60,99,27,89,86,100,106,33,76,82,112,45,18,87,73,31,55,46,40,57,101,103,71,96,52,4,68,107,2,24,93,19,80,29,78,58,12,13,83,74,110,81,6,36,17,66,85,42,32,105,14,109,30,51,50,94,1,9,37,108,39,90,49,84,26,48,64,41,21,95,72,79,15,38,111,61,77,3,53,20,102,62,56,54,104,16,70,88,8,47,5,75,98,65,43,10,92,34,23,91,97,44
1: 22,63,69,28,11,35,25,60,27,100,89,86,7,106,59,67,33,76,112,82,31,40,99,55,46,57,71,45,101,107,96,80,18,24,4,2,73,87,81,93,19,29,12,13,52,78,58,103,83,68,110,6,36,85,42,32,105,51,14,50,39,90,30,94,1,37,108,17,9,49,48,66,109,74,26,38,15,95,3,84,21,64,41,79,72,53,111,102,61,77,62,20,56,54,104,16,70,98,75,97,88,47,65,5,8,43,10,23,91,92,44,34
1: 22,63,69,28,11,35,25,60,27,100,86,89,7,106,59,67,33,112,82,55,40,99,46,57,71,45,107,24,31,76,96,18,4,73,29,101,81,78,58,105,13,32,80,19,12,42,103,2,83,68,87,93,50,90,110,52,14,51,39,85,36,30,94,6,108,9,49,38,1,37,109,66,74,26,15,95,61,79,48,84,21,17,56,3,41,72,53,64,102,62,20,77,54,104,16,70,98,88,111,75,97,47,10,34,5,43,65,8,23,91,92,44
1: 22,63,69,28,35,25,60,27,100,59,7,106,67,33,112,55,40,11,86,46,71,57,24,89,31,76,82,99,29,73,81,4,101,12,45,105,13,96,68,107,50,18,2,51,58,32,80,78,42,83,93,110,108,14,19,30,85,90,36,94,6,66,52,15,49,95,61,87,103,39,9,38,1,37,109,21,3,56,74,62,79,48,84,17,41,64,102,26,77,54,20,104,72,53,70,47,10,16,98,88,75,97,5,8,43,34,23,111,91,65,92,44
1: 22,69,28,25,100,7,63,35,60,27,59,67,106,112,55,71,11,86,46,29,24,31,82,40,99,33,81,105,51,57,73,76,101,45,89,13,96,18,50,80,12,68,14,4,2,78,58,30,66,110,94,36,108,107,83,93,32,42,90,15,61,85,52,49,9,19,6,1,95,39,38,87,37,103,3,102,56,109,79,74,54,72,21,48,17,70,84,62,41,64,26,47,77,10,34,98,88,5,104,20,53,16,91,111,75,97,8,23,43,65,92,44
1: 22,69,28,25,63,35,60,67,59,112,55,100,7,27,29,82,86,11,46,81,106,71,31,40,105,45,73,99,89,76,57,101,24,51,58,33,80,12,4,30,13,96,14,18,78,94,108,15,61,83,50,42,2,66,110,68,52,93,32,36,107,95,6,85,9,49,90,38,39,87,37,19,1,79,74,62,3,102,72,21,48,103,56,17,109,47,64,70,54,77,84,41,20,26,98,5,104,10,88,53,16,34,75,97,111,91,8,23,43,65,92,44
1: 22,69,28,25,63,35,60,67,59,112,55,100,7,82,11,46,27,105,40,81,29,45,73,86,99,101,71,89,106,31,76,33,80,57,15,30,108,24,51,4,58,12,18,78,66,13,96,50,107,42,14,94,61,83,110,6,2,36,68,9,52,93,32,95,39,87,85,49,62,79,90,38,74,37,19,1,21,103,3,102,17,72,47,48,56,64,77,104,5,70,41,54,20,16,84,88,75,97,26,109,53,10,34,111,65,91,98,8,23,92,43,44
1: 22,69,28,25,35,60,67,59,55,40,7,63,82,11,45,112,100,106,15,29,73,101,86,30,27,105,71,31,76,81,51,78,108,6,46,58,94,89,80,110,33,18,24,14,13,66,57,12,50,4,95,61,9,99,68,83,62,93,87,36,42,37,96,107,39,2,52,19,90,32,103,3,38,49,1,21,48,70,79,74,17,47,20,5,85,64,34,84,102,72,16,109,56,75,77,104,88,97,41,26,53,54,10,111,91,65,98,23,8,92,43,44
1: 25,69,28,60,67,55,22,40,7,63,35,82,112,59,45,100,106,29,73,86,105,30,71,31,51,11,76,81,6,78,101,15,46,94,58,27,89,80,66,110,57,18,14,50,13,4,61,108,9,83,12,24,95,36,93,87,33,99,68,42,2,107,39,52,75,62,103,37,47,74,19,96,90,32,3,38,49,1,21,48,70,79,17,20,64,5,85,34,16,84,102,72,109,56,88,77,104,26,41,53,54,10,23,97,111,98,91,65,8,92,43,44
1: 25,69,28,60,67,55,22,63,82,35,112,45,100,40,106,7,73,86,6,78,59,71,30,101,29,15,58,46,105,110,66,51,14,31,11,27,4,76,18,81,94,61,9,24,80,12,95,89,36,57,2,13,87,50,93,108,107,52,83,103,33,99,42,39,74,47,96,68,75,37,62,19,90,21,48,70,17,3,32,38,85,34,49,1,79,5,104,102,20,64,16,84,72,109,56,54,88,77,10,26,41,53,23,97,111,91,98,65,8,92,43,44
1: 25,28,67,22,55,63,82,69,35,112,60,100,40,45,106,7,73,6,71,30,101,29,105,59,86,14,11,78,110,31,76,27,18,15,46,66,51,81,94,58,61,24,4,2,9,95,89,36,12,80,87,50,83,93,107,57,108,39,52,33,47,103,99,42,90,62,13,37,74,96,68,75,32,85,19,21,48,70,17,3,38,34,5,49,1,79,104,64,20,102,16,84,109,56,26,10,72,88,77,91,54,98,41,53,23,97,111,65,8,92,43,44
1: 25,28,67,55,82,63,69,35,112,22,60,100,40,106,7,6,73,30,71,45,101,29,105,59,27,31,14,11,110,76,15,86,18,51,66,46,81,58,36,78,94,24,61,4,2,9,39,95,89,12,83,80,50,107,57,93,108,52,33,87,47,103,99,42,62,37,13,74,68,96,90,75,85,19,32,21,48,70,17,1,3,38,34,5,49,79,104,64,72,20,102,16,84,109,56,26,10,88,77,91,54,98,41,53,23,97,111,65,8,92,43,44
1: 25,28,67,55,82,63,69,35,112,22,60,100,40,73,7,6,30,106,71,45,101,29,105,59,27,31,11,110,14,76,86,18,51,66,46,81,58,15,36,78,24,94,61,2,4,9,39,95,89,12,93,83,80,50,107,57,108,52,33,87,47,103,99,42,62,37,13,74,68,96,90,75,85,19,32,21,48,70,1,3,38,17,34,5,49,79,104,64,72,20,102,16,84,109,56,26,10,88,77,91,54,98,41,53,23,97,111,65,8,92,43,44
1: 63,67,28,55,69,100,59,25,82,40,7,60,112,11,27,35,106,30,22,58,73,108,89,45,86,99,12,105,94,80,13,85,15,61,29,2,83,31,101,4,24,33,18,49,78,36,52,76,110,71,46,42,1,57,81,51,14,66,64,19,6,21,50,70,9,93,107,47,54,32,95,87,48,38,74,109,62,90,56,102,68,39,96,88,103,77,37,53,84,41,98,72,3,5,75,10,79,26,17,97,20,104,23,16,111,91,44,34,92,43,65,8
1: 63,67,28,55,69,59,25,11,60,100,82,7,40,112,35,27,73,30,22,58,45,99,106,105,80,89,101,12,13,108,83,94,33,15,4,46,18,36,86,29,61,85,2,24,110,78,31,49,57,64,21,76,42,52,66,81,14,19,71,6,9,51,107,50,1,87,90,93,32,48,62,103,74,47,38,68,95,70,96,56,54,39,102,88,77,109,37,72,79,84,41,53,10,104,75,17,26,5,20,97,3,23,98,16,91,34,44,111,92,65,43,8
1: 28,63,67,59,69,55,60,11,40,25,7,82,100,30,112,35,73,27,22,45,80,58,106,105,78,13,89,99,101,86,12,15,2,94,29,31,83,24,76,4,61,36,33,18,108,85,110,46,6,66,19,64,42,14,52,21,49,9,51,71,57,50,1,81,62,87,107,93,90,48,95,70,103,47,32,38,74,68,96,102,109,54,88,39,56,37,84,77,72,5,75,20,79,3,10,41,97,53,17,16,26,104,98,91,34,23,44,111,65,92,43,8
1: 100,28,63,60,35,69,67,59,40,15,25,82,112,7,27,33,58,95,78,57,71,31,90,105,22,108,12,29,55,24,61,80,4,77,89,14,83,99,68,50,106,51,86,85,110,76,45,46,56,101,11,47,13,73,18,81,19,6,36,23,96,2,30,1,39,49,109,94,42,3,5,66,9,37,74,111,32,52,64,54,107,21,103,87,97,88,102,70,62,75,38,93,84,79,48,34,98,72,10,41,104,26,53,44,91,8,17,20,43,16,65,92
1: 100,67,28,63,7,35,112,15,59,25,40,60,27,69,22,58,82,55,78,71,31,29,95,90,24,80,105,108,14,33,61,46,110,57,81,45,86,50,12,99,51,96,47,36,106,83,89,18,101,13,85,4,77,73,11,66,76,68,56,94,49,1,30,19,6,42,9,2,5,23,39,3,109,37,52,74,111,54,84,88,70,72,87,102,103,93,48,97,38,64,34,32,79,98,21,62,107,75,10,91,53,41,17,104,44,16,8,20,92,43,26,65
1: 100,67,63,28,59,112,69,25,35,58,82,40,60,7,15,55,22,105,29,78,31,80,45,81,57,27,108,61,95,71,24,12,90,89,4,33,99,14,83,73,51,46,86,101,106,36,47,110,11,94,6,96,13,76,85,19,66,52,42,50,30,18,77,49,68,2,1,56,39,9,88,87,109,79,74,32,5,62,64,72,3,38,48,23,84,21,103,75,70,111,54,93,37,91,102,97,107,104,10,17,34,53,41,98,44,20,16,8,43,65,92,26
1: 67,100,63,69,28,112,59,25,35,40,60,55,7,82,15,22,58,78,105,80,45,99,31,4,24,29,57,81,108,101,90,46,27,33,89,95,51,12,6,73,83,61,11,110,76,36,50,71,14,66,47,42,18,19,94,49,86,106,52,30,68,96,13,85,9,79,87,77,2,1,39,56,74,103,62,109,32,5,64,88,107,21,104,38,48,72,75,3,23,97,91,37,93,17,84,34,53,70,54,111,102,41,10,16,20,98,65,44,26,8,92,43
1: 67,100,63,40,69,28,59,25,35,60,78,7,112,82,55,15,22,45,58,80,31,105,95,101,11,24,4,99,108,90,6,27,76,12,29,51,33,73,46,89,81,57,110,61,83,47,106,71,30,66,36,50,19,14,9,86,18,13,68,94,42,2,52,49,87,85,5,1,109,103,77,62,96,56,32,64,21,79,74,88,34,39,84,97,70,107,104,75,48,37,3,38,20,72,17,23,93,16,111,91,102,10,53,54,41,98,44,65,8,26,43,92
1: 67,100,69,40,63,28,25,7,78,60,82,35,59,112,58,55,80,45,31,22,15,105,4,101,95,51,29,83,76,6,99,73,12,11,90,61,24,106,110,89,46,27,108,66,71,30,57,81,36,33,86,9,47,50,94,14,13,18,68,2,19,42,52,1,103,85,5,87,109,64,49,75,74,62,77,96,32,21,88,56,39,34,107,48,79,84,70,38,93,23,37,97,72,104,20,3,17,10,16,102,111,54,91,53,98,41,8,44,26,65,43,92
1: 67,100,69,63,25,40,28,78,35,55,82,112,60,58,7,22,59,45,80,15,4,105,31,101,51,24,95,110,46,76,6,66,27,83,73,12,106,90,30,71,61,36,99,18,29,14,89,33,86,2,11,47,9,108,94,57,81,42,52,13,50,103,85,19,68,74,87,96,21,1,5,49,75,107,77,48,109,56,64,62,93,32,39,70,34,88,79,38,104,84,37,17,97,3,23,54,72,16,20,10,53,102,111,91,41,98,8,44,43,65,26,92
1: 67,100,63,25,69,40,28,55,35,112,22,78,82,60,7,58,45,59,105,31,80,4,24,101,76,90,18,83,95,51,15,106,27,6,73,12,30,110,29,33,2,36,71,99,46,11,89,66,61,14,47,94,108,81,52,42,86,85,50,9,103,57,68,13,19,5,107,87,1,96,39,74,32,62,49,93,75,56,109,48,64,21,37,38,77,104,70,34,84,88,79,3,17,16,23,10,97,20,91,53,72,54,111,98,102,41,8,26,44,65,92,43
1: 67,100,63,25,69,40,28,55,112,35,7,58,82,60,78,22,59,31,45,105,80,101,27,4,76,24,18,36,90,83,95,51,106,15,30,12,73,6,29,110,33,2,71,99,11,89,66,61,14,47,94,108,81,52,46,42,85,50,86,9,57,103,68,13,1,39,19,5,107,74,32,96,62,87,49,93,75,109,56,48,64,21,77,38,37,104,70,34,88,79,84,3,17,23,16,10,97,20,53,91,72,54,98,111,102,41,8,26,44,65,43,92
1: 67,63,25,100,69,40,28,55,112,35,7,82,58,60,22,78,59,45,31,105,80,101,4,27,76,24,18,73,36,83,90,51,110,95,106,30,12,6,29,33,71,15,2,99,11,89,66,61,47,108,14,94,46,52,81,42,85,50,86,9,103,57,13,68,1,39,19,5,74,107,32,62,96,93,87,49,109,75,48,56,64,21,77,38,104,37,70,34,88,84,79,3,16,23,97,10,17,20,91,53,72,54,111,98,102,41,8,26,44,65,43,92
1: 28,25,67,63,69,40,112,55,100,35,82,7,59,58,22,60,45,78,4,31,83,36,24,76,80,33,95,105,90,101,18,2,27,73,106,12,99,51,30,42,110,19,71,89,52,11,6,29,66,94,108,46,81,14,15,85,61,49,103,47,86,50,9,57,39,74,13,5,62,68,93,32,107,56,96,1,87,104,38,37,34,79,48,77,3,84,109,64,75,21,70,88,20,72,97,16,102,17,23,26,98,10,91,54,111,41,92,65,44,53,8,43
1: 27,22,47,3,37,100,46,25,58,103,95,60,45,71,89,9,99,42,7,77,35,15,59,112,67,14,13,87,81,63,82,40,90,73,11,68,76,83,49,1,52,78,109,61,31,69,105,19,28,29,106,86,74,55,72,65,84,94,111,108,43,54,5,21,80,6,36,2,98,39,101,33,66,32,12,70,75,64,110,18,4,34,23,57,93,96,48,62,50,56,44,107,85,88,38,79,8,30,10,102,17,97,24,92,16,20,26,41,51,53,91,104
1: 27,15,22,86,47,3,37,40,105,18,80,46,71,103,24,69,25,81,42,19,76,89,63,28,52,73,2,32,83,101,59,57,64,60,30,45,102,14,51,13,100,72,95,65,74,31,111,58,93,91,110,9,90,35,99,82,33,7,5,108,49,1,78,94,77,98,11,67,112,12,39,29,106,21,36,50,43,38,61,48,66,55,109,85,87,97,79,56,44,104,4,107,68,23,17,16,70,8,96,75,54,84,41,34,6,26,10,92,62,53,88,20
1: 25,63,15,71,89,100,67,112,82,27,105,28,35,73,14,7,55,69,18,108,59,31,21,40,78,96,24,56,22,86,47,57,107,33,4,11,80,81,76,3,45,60,34,83,19,42,58,29,106,103,52,39,46,37,2,49,12,65,13,36,50,32,94,30,85,110,87,38,68,41,51,54,84,97,6,109,74,104,62,88,20,93,92,9,90,99,95,77,111,79,5,101,1,53,61,64,98,44,26,23,17,75,102,66,72,48,91,16,70,10,8,43
1: 35,15,63,100,25,27,105,33,28,67,112,40,7,106,18,59,29,55,82,31,89,78,60,69,24,57,71,96,108,14,22,83,58,80,13,76,45,81,56,47,4,36,95,77,61,86,85,73,11,2,42,12,49,51,50,90,94,3,30,19,52,68,74,9,37,46,103,38,32,23,54,21,93,109,104,99,5,39,6,110,92,101,1,79,87,20,17,75,97,64,98,88,102,66,111,84,72,44,62,48,16,70,107,10,41,26,34,53,8,65,91,43
1: 100,7,63,67,112,29,55,22,71,28,96,40,35,60,15,81,59,36,25,27,78,83,105,33,82,106,57,58,18,80,31,108,89,45,69,85,24,12,14,47,13,4,76,54,49,90,95,99,77,61,1,86,73,9,101,42,51,19,2,98,46,56,30,94,50,74,52,66,3,103,37,93,38,11,5,21,68,64,32,109,104,110,39,92,6,102,23,17,97,79,87,72,88,84,48,75,111,62,16,70,44,107,10,41,26,34,8,91,53,65,20,43
1: 63,100,67,7,58,40,28,78,82,22,112,35,80,15,25,29,106,59,69,60,55,31,108,12,105,89,45,57,4,36,83,33,81,24,27,95,90,71,47,61,96,99,14,11,18,73,86,51,76,42,77,46,19,101,52,49,13,30,6,85,94,2,110,56,9,39,74,5,3,68,50,64,32,87,103,79,109,1,21,62,72,38,66,93,37,102,104,88,97,54,84,75,48,107,23,98,17,111,70,34,91,16,41,10,92,65,44,20,53,8,26,43
1: 28,22,63,112,15,67,69,35,100,82,59,40,7,60,25,78,55,105,31,58,45,108,80,4,57,12,99,33,29,24,90,36,95,6,27,81,83,89,76,18,101,11,47,51,49,46,19,42,96,106,73,71,52,14,9,30,86,50,2,77,68,85,66,94,13,39,61,79,87,56,1,5,74,103,32,104,21,110,62,64,3,109,38,107,93,37,72,48,16,102,84,54,88,97,17,98,75,34,70,23,41,91,111,10,92,65,20,53,44,8,26,43
1: 22,28,25,60,40,59,15,11,67,69,35,63,82,100,78,7,112,80,45,105,55,31,58,108,4,95,12,90,24,106,99,6,33,76,101,29,27,36,83,89,19,51,57,18,46,66,81,73,42,30,9,47,71,52,14,68,49,86,2,5,50,13,94,61,96,87,110,56,103,62,1,32,85,109,74,104,64,34,39,79,37,21,3,84,77,38,107,48,93,72,70,20,16,97,88,102,75,17,10,54,98,91,23,41,111,65,26,92,53,44,8,43
1: 25,69,28,22,40,67,35,63,100,78,7,82,60,112,80,31,58,59,55,45,12,95,4,90,99,106,83,24,6,105,101,36,76,11,33,29,15,51,89,19,66,57,27,73,81,9,46,30,108,18,71,42,2,86,14,68,61,13,94,50,5,52,110,49,47,1,103,96,74,62,109,32,87,85,56,64,93,104,34,21,84,38,37,107,75,72,79,39,77,48,20,88,70,3,16,102,97,17,23,10,98,54,91,111,41,26,65,92,44,53,8,43
1: 25,69,22,28,67,35,40,60,63,82,100,112,55,78,59,45,7,4,58,80,31,83,36,24,106,95,105,33,76,6,101,12,90,15,18,66,51,2,99,89,29,27,46,14,30,71,42,73,19,9,57,86,11,52,81,110,61,94,108,103,49,47,13,74,50,68,96,107,87,56,62,21,93,32,104,85,5,34,38,1,48,37,39,84,79,64,77,109,75,3,70,20,72,16,17,88,97,102,10,23,54,98,111,41,91,92,26,65,44,53,8,43
1: 25,22,28,67,63,69,40,112,60,100,82,35,55,45,7,59,78,4,58,31,76,24,80,83,95,33,36,90,106,105,6,18,2,101,12,51,99,29,27,30,89,42,71,73,66,46,14,11,19,15,52,81,110,94,108,85,9,61,86,57,103,47,49,50,68,96,74,32,13,5,107,62,87,39,56,1,93,104,38,37,34,84,48,21,79,64,3,77,109,20,70,75,88,72,16,17,102,97,26,98,23,10,91,54,111,41,92,65,44,53,8,43
1: 28,25,67,63,69,40,100,112,82,35,55,60,22,7,58,59,78,45,31,4,76,24,80,36,95,83,33,106,27,105,90,18,2,101,6,12,51,99,30,29,42,89,71,73,52,66,11,15,14,19,46,81,110,94,108,85,61,86,47,9,103,57,49,39,50,68,74,96,32,5,13,107,62,56,93,87,1,38,104,37,34,48,84,79,21,77,3,64,109,20,70,75,88,72,16,17,97,102,26,10,23,98,91,54,111,41,92,65,44,53,8,43
1: 28,67,25,63,69,40,112,82,35,55,100,60,22,7,59,58,45,78,4,31,76,24,36,80,83,33,95,106,27,18,105,90,2,101,6,12,73,51,99,30,29,89,42,71,110,66,52,11,19,46,108,81,94,14,15,86,61,85,47,103,9,49,39,57,50,74,68,96,13,32,62,5,93,107,56,87,1,104,38,37,34,84,48,79,21,3,77,64,109,75,70,20,88,72,16,97,102,17,23,26,98,10,91,54,111,41,92,65,44,53,8,43
1: 28,69,63,55,25,67,40,35,59,82,60,100,7,112,73,45,58,101,105,11,36,83,22,76,4,31,30,27,78,106,24,2,110,61,80,18,6,89,99,94,12,90,33,51,85,14,93,29,66,52,19,71,95,50,1,62,46,13,42,107,15,108,81,86,9,64,74,47,103,87,21,48,38,57,49,39,96,75,32,88,70,68,37,56,5,84,91,104,102,34,77,109,20,53,79,16,10,3,72,26,97,23,98,41,17,54,111,44,92,65,43,8
1: 63,7,27,60,86,22,59,67,45,13,28,40,69,55,99,25,82,35,73,87,2,19,100,76,68,101,71,112,14,11,49,108,78,42,6,15,83,29,95,89,9,21,52,58,110,46,103,107,30,39,33,12,80,74,106,61,54,105,70,94,77,1,109,72,85,37,36,32,18,90,47,81,51,50,66,24,64,4,93,48,5,26,88,31,111,38,41,84,102,57,17,3,56,43,96,98,53,97,20,10,79,34,91,62,75,65,16,23,104,44,92,8
1: 63,22,67,28,27,60,40,25,69,100,7,55,71,59,86,11,35,82,101,112,76,13,19,80,12,14,2,45,106,99,15,95,78,107,85,58,89,73,108,87,39,33,110,30,6,49,81,21,46,93,57,83,51,50,29,1,90,36,105,24,68,52,32,61,42,4,18,77,102,48,9,94,37,47,31,103,70,64,74,54,3,72,41,5,66,109,111,38,98,43,88,84,97,56,53,26,17,79,20,62,96,91,65,10,23,75,104,34,44,16,92,8
1: 63,28,100,67,22,69,27,82,7,40,60,55,59,25,86,112,35,11,71,78,106,12,99,108,58,89,15,4,14,101,13,80,76,45,85,107,33,57,73,24,19,2,50,46,110,30,29,90,39,105,18,21,95,36,51,42,32,49,6,61,1,83,93,102,87,68,31,94,74,81,52,9,70,103,47,64,38,54,56,37,109,77,41,96,48,88,72,66,3,53,97,79,98,5,43,111,84,26,10,20,17,62,23,34,104,75,91,44,65,16,92,8
1: 63,28,100,69,67,40,55,22,60,59,7,25,112,82,27,106,35,108,71,12,11,58,4,73,86,99,24,33,85,30,89,15,101,76,57,78,13,29,14,61,80,45,2,50,110,105,36,95,46,51,31,1,90,19,83,94,18,21,6,68,49,32,107,42,39,81,56,93,74,9,54,102,66,70,52,77,64,47,3,87,109,48,38,96,41,62,53,23,97,37,5,98,88,10,26,103,79,72,84,20,104,75,34,111,17,43,91,16,65,44,8,92
1: 63,67,100,28,7,55,69,22,59,40,60,112,27,82,25,35,106,108,58,71,73,24,11,85,45,80,31,61,29,15,30,99,33,12,14,86,89,36,13,110,78,105,94,18,101,46,4,51,76,83,57,2,50,81,49,95,1,90,66,42,19,9,93,47,6,54,52,21,68,74,70,96,107,64,56,32,102,39,87,38,3,77,109,37,48,98,10,5,23,88,62,53,84,97,103,26,72,41,91,79,75,34,104,17,111,16,44,20,43,8,92,65
1: 63,67,28,100,69,59,55,82,40,112,25,7,58,60,35,22,108,27,45,73,106,80,30,61,105,29,89,11,85,15,12,99,31,24,71,86,4,81,13,83,94,78,33,101,46,36,57,76,14,2,18,52,110,51,42,49,66,1,95,6,47,19,93,64,50,90,9,74,21,38,48,70,96,87,62,32,88,107,56,77,68,102,39,54,109,84,79,37,103,91,10,72,3,5,98,53,97,41,75,104,23,20,26,17,44,111,34,16,43,92,8,65
1: 63,67,69,28,59,100,55,25,60,40,82,112,7,35,11,22,80,45,58,105,73,99,30,27,89,108,15,101,12,106,24,4,61,46,29,78,36,33,31,83,81,85,13,18,110,76,57,42,66,6,86,51,2,94,49,71,64,21,50,14,90,9,52,19,95,47,87,93,1,107,62,74,32,48,96,68,103,38,88,79,77,56,39,70,102,104,10,109,91,97,37,84,72,5,75,23,53,3,41,20,16,54,26,34,17,98,44,111,65,92,8,43
1: 67,28,63,40,69,59,60,55,7,25,82,11,100,35,45,112,80,30,22,78,73,58,105,15,27,31,101,106,99,24,76,6,108,4,89,29,13,12,61,36,83,2,33,86,110,94,18,46,9,66,19,95,51,14,81,85,42,62,90,50,52,71,64,21,47,57,49,87,1,93,48,103,107,74,70,68,32,38,88,96,5,109,77,84,39,102,97,91,79,37,56,75,20,72,34,3,104,10,16,53,23,44,41,54,26,17,98,111,65,43,92,8
1: 67,69,28,40,63,60,7,25,55,59,82,100,112,11,73,45,80,35,78,58,105,30,22,31,83,61,106,4,27,101,6,29,36,76,24,12,110,99,13,51,89,86,94,18,46,2,66,9,15,14,108,19,33,95,81,64,85,50,71,90,52,1,93,21,42,62,87,57,47,74,48,49,103,75,107,88,68,70,38,5,32,37,96,109,102,84,39,77,91,79,20,56,34,72,10,97,16,23,3,104,53,41,26,54,98,17,111,44,65,92,43,8
1: 69,67,28,63,55,25,40,60,100,82,7,59,45,112,35,73,22,78,58,11,80,106,4,30,18,61,101,27,105,110,31,83,36,66,6,24,12,2,76,51,86,89,99,46,14,29,15,71,94,13,33,21,52,9,90,85,19,95,93,108,50,81,47,87,42,64,107,1,74,48,62,57,103,75,38,49,88,96,70,37,39,68,102,5,109,84,20,32,56,91,34,77,79,10,104,97,3,53,16,23,72,54,17,41,26,111,98,44,92,65,43,8
1: 69,67,63,28,55,25,40,60,100,112,7,22,82,35,45,59,73,11,58,106,105,18,76,30,4,101,78,31,61,83,110,27,2,80,36,24,6,14,99,12,94,90,51,89,46,29,33,85,52,71,66,93,86,95,19,15,62,13,107,108,81,42,21,9,50,87,1,64,47,74,103,48,39,57,38,49,75,96,32,88,37,70,68,5,84,56,91,104,102,34,77,109,20,3,53,79,16,10,97,26,23,17,98,41,72,54,111,44,92,65,43,8
1: 69,63,28,55,67,25,40,60,100,112,35,7,82,73,59,11,58,45,27,22,30,76,105,106,36,4,101,31,78,18,83,61,2,24,110,80,6,89,14,94,99,12,51,90,29,33,71,52,85,66,93,86,46,19,95,15,1,13,62,107,81,42,108,9,21,50,64,47,74,39,87,103,48,57,38,49,96,75,32,88,70,37,68,5,56,84,91,104,102,34,109,77,20,53,3,79,10,16,72,26,97,17,23,98,41,54,111,44,92,65,43,8
1: 69,28,63,55,67,25,40,60,112,100,73,35,7,82,59,11,58,45,27,22,30,76,105,36,4,101,31,78,18,110,83,106,2,24,61,80,6,89,99,94,12,51,90,33,29,71,14,93,52,85,66,19,46,86,95,13,62,1,107,15,42,81,108,9,21,50,64,74,47,39,87,103,48,38,57,49,96,75,32,88,70,37,68,5,56,84,91,104,102,34,109,77,20,53,3,79,72,16,10,26,97,23,98,41,17,54,111,44,92,65,43,8