# FILE NAME: 00054-00000857.soc
# TITLE: Football 2015-01-11
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00054-00000857.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 128
# NUMBER VOTERS: 115
# NUMBER UNIQUE ORDERS: 115
# ALTERNATIVE NAME 1: Idaho
# ALTERNATIVE NAME 2: Colorado
# ALTERNATIVE NAME 3: Maryland
# ALTERNATIVE NAME 4: MTSU
# ALTERNATIVE NAME 5: Army
# ALTERNATIVE NAME 6: Oregon
# ALTERNATIVE NAME 7: Rice
# ALTERNATIVE NAME 8: TCU
# ALTERNATIVE NAME 9: Illinois
# ALTERNATIVE NAME 10: West Virginia
# ALTERNATIVE NAME 11: UCLA
# ALTERNATIVE NAME 12: Tulane
# ALTERNATIVE NAME 13: South Carolina
# ALTERNATIVE NAME 14: Minnesota
# ALTERNATIVE NAME 15: Pittsburgh
# ALTERNATIVE NAME 16: Buffalo
# ALTERNATIVE NAME 17: Hawaii
# ALTERNATIVE NAME 18: Boston College
# ALTERNATIVE NAME 19: New Mexico St
# ALTERNATIVE NAME 20: Air Force
# ALTERNATIVE NAME 21: South Alabama
# ALTERNATIVE NAME 22: LSU
# ALTERNATIVE NAME 23: Notre Dame
# ALTERNATIVE NAME 24: Georgia
# ALTERNATIVE NAME 25: Ohio St
# ALTERNATIVE NAME 26: Washington
# ALTERNATIVE NAME 27: Texas A&M
# ALTERNATIVE NAME 28: Ohio
# ALTERNATIVE NAME 29: North Texas
# ALTERNATIVE NAME 30: W Michigan
# ALTERNATIVE NAME 31: SMU
# ALTERNATIVE NAME 32: Utah St
# ALTERNATIVE NAME 33: Northwestern
# ALTERNATIVE NAME 34: Southern Miss
# ALTERNATIVE NAME 35: Indiana
# ALTERNATIVE NAME 36: Purdue
# ALTERNATIVE NAME 37: Texas
# ALTERNATIVE NAME 38: Colorado St
# ALTERNATIVE NAME 39: Missouri
# ALTERNATIVE NAME 40: Florida
# ALTERNATIVE NAME 41: New Mexico
# ALTERNATIVE NAME 42: Fresno St
# ALTERNATIVE NAME 43: UT San Antonio
# ALTERNATIVE NAME 44: Georgia Tech
# ALTERNATIVE NAME 45: Michigan St
# ALTERNATIVE NAME 46: Arkansas
# ALTERNATIVE NAME 47: Oregon St
# ALTERNATIVE NAME 48: Kansas
# ALTERNATIVE NAME 49: Temple
# ALTERNATIVE NAME 50: San Diego St
# ALTERNATIVE NAME 51: Alabama
# ALTERNATIVE NAME 52: Houston
# ALTERNATIVE NAME 53: Kansas St
# ALTERNATIVE NAME 54: Auburn
# ALTERNATIVE NAME 55: Arizona St
# ALTERNATIVE NAME 56: UNLV
# ALTERNATIVE NAME 57: Mississippi
# ALTERNATIVE NAME 58: Virginia
# ALTERNATIVE NAME 59: Arkansas St
# ALTERNATIVE NAME 60: Boise St
# ALTERNATIVE NAME 61: Syracuse
# ALTERNATIVE NAME 62: Louisiana Tech
# ALTERNATIVE NAME 63: Wake Forest
# ALTERNATIVE NAME 64: Old Dominion
# ALTERNATIVE NAME 65: Massachusetts
# ALTERNATIVE NAME 66: Appalachian St
# ALTERNATIVE NAME 67: South Florida
# ALTERNATIVE NAME 68: Texas St
# ALTERNATIVE NAME 69: C Michigan
# ALTERNATIVE NAME 70: Florida St
# ALTERNATIVE NAME 71: UCF
# ALTERNATIVE NAME 72: Arizona
# ALTERNATIVE NAME 73: Charlotte
# ALTERNATIVE NAME 74: Tennessee
# ALTERNATIVE NAME 75: Miami FL
# ALTERNATIVE NAME 76: Miami OH
# ALTERNATIVE NAME 77: Nevada
# ALTERNATIVE NAME 78: Louisville
# ALTERNATIVE NAME 79: Texas Tech
# ALTERNATIVE NAME 80: Georgia St
# ALTERNATIVE NAME 81: Marshall
# ALTERNATIVE NAME 82: UTEP
# ALTERNATIVE NAME 83: FL Atlantic
# ALTERNATIVE NAME 84: Connecticut
# ALTERNATIVE NAME 85: NC State
# ALTERNATIVE NAME 86: Bowling Green
# ALTERNATIVE NAME 87: North Carolina
# ALTERNATIVE NAME 88: Rutgers
# ALTERNATIVE NAME 89: Wisconsin
# ALTERNATIVE NAME 90: Ga Southern
# ALTERNATIVE NAME 91: Akron
# ALTERNATIVE NAME 92: Penn St
# ALTERNATIVE NAME 93: Kentucky
# ALTERNATIVE NAME 94: Virginia Tech
# ALTERNATIVE NAME 95: BYU
# ALTERNATIVE NAME 96: Tulsa
# ALTERNATIVE NAME 97: Utah
# ALTERNATIVE NAME 98: Oklahoma St
# ALTERNATIVE NAME 99: San Jose St
# ALTERNATIVE NAME 100: Michigan
# ALTERNATIVE NAME 101: USC
# ALTERNATIVE NAME 102: Kent
# ALTERNATIVE NAME 103: Florida Intl
# ALTERNATIVE NAME 104: N Illinois
# ALTERNATIVE NAME 105: California
# ALTERNATIVE NAME 106: Iowa St
# ALTERNATIVE NAME 107: ULM
# ALTERNATIVE NAME 108: Iowa
# ALTERNATIVE NAME 109: East Carolina
# ALTERNATIVE NAME 110: Toledo
# ALTERNATIVE NAME 111: Louisiana
# ALTERNATIVE NAME 112: Wyoming
# ALTERNATIVE NAME 113: Mississippi St
# ALTERNATIVE NAME 114: Ball St
# ALTERNATIVE NAME 115: Baylor
# ALTERNATIVE NAME 116: Oklahoma
# ALTERNATIVE NAME 117: WKU
# ALTERNATIVE NAME 118: Clemson
# ALTERNATIVE NAME 119: Memphis
# ALTERNATIVE NAME 120: E Michigan
# ALTERNATIVE NAME 121: Troy
# ALTERNATIVE NAME 122: Washington St
# ALTERNATIVE NAME 123: Stanford
# ALTERNATIVE NAME 124: Nebraska
# ALTERNATIVE NAME 125: Vanderbilt
# ALTERNATIVE NAME 126: Duke
# ALTERNATIVE NAME 127: Navy
# ALTERNATIVE NAME 128: Cincinnati
1: 51,123,118,25,52,117,45,116,100,57,50,24,127,87,66,74,23,8,86,122,89,22,6,62,78,108,113,110,46,70,30,33,115,97,59,67,34,75,26,98,40,101,81,90,91,49,124,95,15,60,94,105,104,54,128,28,119,14,69,38,92,4,20,84,80,41,11,79,72,126,77,37,85,10,99,27,106,32,55,125,53,96,58,35,83,21,9,3,103,64,39,121,7,63,82,2,109,43,93,16,61,19,112,76,88,102,44,1,13,31,36,12,42,65,18,111,114,56,68,29,47,5,17,107,48,71,73,120
1: 51,118,123,25,116,45,23,22,8,97,100,57,108,87,115,113,70,6,52,74,40,24,98,46,101,127,33,122,89,110,117,11,105,27,10,95,15,26,78,75,54,86,50,49,119,79,55,66,60,92,94,67,37,124,85,72,30,126,90,81,62,53,14,35,34,20,59,128,104,39,28,69,32,58,9,125,91,13,109,93,84,4,106,96,61,44,2,38,77,3,99,88,41,63,47,80,18,16,21,36,121,103,7,42,31,1,82,114,56,64,65,83,43,17,102,12,76,48,111,19,112,68,5,29,107,71,73,120
1: 51,118,25,116,123,23,52,57,87,45,22,115,8,70,108,74,100,113,127,98,46,97,24,89,40,6,110,101,117,27,122,105,10,33,78,11,15,119,26,54,95,86,49,75,67,79,66,50,60,94,85,55,92,126,124,30,37,90,81,14,72,53,35,128,39,20,62,34,58,104,9,13,69,61,44,125,59,109,93,32,28,84,91,4,96,3,106,63,18,38,41,88,2,99,77,80,36,16,47,121,21,31,103,114,65,5,56,12,83,7,42,112,64,102,1,82,111,76,17,43,19,48,68,120,29,71,107,73
1: 51,118,123,25,45,52,116,57,100,8,108,22,23,117,97,40,74,115,127,87,113,6,89,110,33,24,70,46,101,98,50,86,27,49,122,119,66,95,105,26,81,10,90,11,62,15,78,60,30,92,75,124,54,34,67,59,79,104,55,28,14,20,72,126,94,85,128,69,91,35,37,53,4,9,38,32,77,39,96,84,41,99,93,125,80,2,109,3,58,88,13,44,61,106,16,21,7,18,103,64,36,83,63,121,56,1,82,47,111,65,114,17,102,43,31,42,19,12,76,68,107,112,48,5,73,120,29,71
1: 51,118,25,45,123,116,108,8,57,22,100,52,23,33,97,40,127,98,6,24,89,74,115,113,117,46,70,110,87,101,105,122,27,11,119,95,49,54,10,15,86,66,75,92,78,26,79,50,67,14,124,55,30,81,72,37,62,90,126,60,53,35,59,128,94,39,85,9,34,28,20,125,69,91,104,93,4,84,96,3,109,88,32,58,106,41,61,38,13,77,2,44,99,80,47,36,21,16,63,1,7,64,18,82,103,31,114,121,42,12,102,83,65,76,56,111,43,17,19,68,48,112,107,29,5,73,120,71
1: 51,25,118,116,123,100,45,57,52,23,89,108,22,70,8,97,74,127,113,87,24,115,40,101,110,117,46,26,33,6,66,98,50,105,95,119,11,27,86,60,49,10,78,54,122,15,67,92,124,90,30,81,75,85,94,55,126,79,34,20,62,72,14,59,128,35,9,104,69,37,44,53,4,32,28,39,91,109,61,18,38,58,3,93,125,41,96,99,84,88,2,77,13,106,63,121,16,80,36,21,56,47,103,1,111,114,42,83,7,64,31,65,68,82,19,12,43,102,76,5,17,112,107,120,73,29,48,71
1: 51,118,45,25,116,123,108,8,57,22,23,100,33,98,52,40,115,74,89,6,24,46,113,127,97,70,87,27,54,101,122,105,117,10,119,79,110,15,11,75,78,49,92,95,37,86,66,26,124,14,53,55,67,9,30,50,72,90,126,35,39,94,85,62,81,59,106,128,3,125,60,34,93,28,69,58,13,84,104,20,88,91,109,4,44,96,61,32,36,2,41,99,47,38,77,21,63,80,121,16,1,18,103,31,82,64,7,48,114,12,111,83,42,102,43,65,19,56,68,76,17,112,29,107,5,73,71,120
1: 51,118,116,25,123,57,45,100,8,22,108,23,74,115,52,98,89,46,70,113,40,87,33,127,97,24,6,101,10,27,105,54,119,117,110,11,15,122,78,79,26,49,86,92,75,95,124,66,37,55,67,50,14,53,85,126,30,94,90,9,72,60,35,39,106,81,62,128,59,34,3,125,44,58,69,20,13,93,28,104,109,61,84,32,4,88,96,91,36,2,63,99,38,41,77,47,18,121,80,21,16,31,1,103,114,83,7,56,48,64,111,12,42,65,82,102,43,68,19,76,17,112,5,107,29,73,120,71
1: 51,25,118,116,123,57,74,46,22,100,113,87,26,115,23,52,70,45,8,6,101,117,54,127,24,89,108,97,50,27,60,105,110,86,10,40,122,11,67,98,119,55,95,78,124,15,30,85,49,90,66,94,34,92,79,33,13,75,44,14,35,81,20,37,39,126,72,58,32,62,53,59,109,128,69,61,93,125,4,18,9,104,106,84,3,99,28,2,63,91,80,41,38,77,96,121,88,36,16,47,83,5,65,56,21,114,112,31,1,42,111,103,76,102,12,64,43,82,7,68,19,120,29,17,48,107,71,73
1: 51,25,118,123,116,57,45,23,52,100,74,115,127,8,110,22,117,70,108,113,87,46,97,6,89,86,101,98,24,119,49,66,40,95,50,26,27,90,33,105,81,122,60,10,11,124,15,54,30,67,78,75,92,59,62,34,55,85,79,104,94,28,69,37,128,20,72,91,14,126,35,53,4,32,109,39,44,9,125,84,38,99,96,58,106,13,93,18,16,61,80,77,3,2,88,121,41,63,103,21,36,65,7,114,83,102,76,47,111,56,43,64,1,82,5,42,19,68,31,12,17,107,73,112,120,48,71,29
1: 51,118,123,45,25,108,116,8,52,87,23,57,97,98,22,33,40,70,24,100,127,115,6,113,117,122,89,74,110,46,105,95,75,101,15,27,50,78,10,11,49,119,66,54,86,79,26,60,126,90,67,72,94,62,81,30,55,85,92,59,53,20,34,128,37,14,104,28,35,124,39,91,69,9,84,93,58,32,4,77,38,41,99,125,96,109,106,61,88,3,44,13,21,80,2,63,18,103,7,16,47,64,121,82,36,42,12,1,31,56,111,114,17,102,76,68,43,48,65,19,83,112,5,29,107,73,71,120
1: 51,116,118,115,25,57,123,70,8,22,87,46,23,6,113,101,45,26,100,74,52,60,24,98,10,54,97,11,89,27,55,119,105,117,78,127,95,108,44,124,85,94,86,110,40,79,15,72,122,50,53,90,49,126,75,13,67,37,30,14,39,92,81,32,35,62,66,128,20,18,109,34,33,58,59,104,93,61,106,9,69,2,38,4,3,99,88,125,63,96,77,28,36,84,91,47,16,41,121,56,80,111,83,5,31,7,42,114,65,12,103,21,112,1,71,43,68,64,76,17,102,48,82,107,29,120,19,73
1: 51,116,118,25,123,74,87,8,100,57,22,115,23,70,46,113,26,101,52,45,127,97,10,108,89,6,60,117,11,105,24,119,27,86,54,78,98,85,40,110,95,15,67,49,124,94,50,44,55,122,90,92,33,30,66,79,126,75,72,9,37,34,20,35,53,18,14,39,58,81,32,61,106,13,109,128,104,125,69,3,63,62,93,4,59,2,84,99,28,91,121,36,38,96,88,77,41,16,47,80,5,65,83,56,114,103,111,42,31,76,1,21,43,112,102,48,68,7,12,17,19,120,107,82,64,71,73,29
1: 51,118,25,116,123,45,57,8,52,22,108,23,100,127,98,115,40,33,97,6,74,24,113,70,87,122,46,89,117,110,101,119,105,27,54,49,10,15,11,95,75,78,86,79,66,26,126,92,50,67,30,55,37,90,124,14,72,53,60,81,94,128,85,62,35,39,59,9,34,20,125,104,28,69,91,13,93,84,109,3,4,32,96,106,61,88,41,38,44,77,58,99,2,80,63,21,16,36,47,31,18,7,103,114,64,121,102,42,82,1,12,65,112,56,83,111,76,48,43,17,19,68,5,29,71,73,120,107
1: 51,118,25,45,123,116,8,52,108,23,57,98,70,100,22,127,115,117,24,97,40,87,33,89,66,110,113,6,122,50,46,49,74,119,101,11,81,78,95,75,90,27,105,86,62,60,15,10,26,59,54,94,79,92,72,126,30,53,67,55,34,128,41,14,85,28,69,104,9,124,20,93,37,125,35,58,39,77,84,38,91,2,44,32,4,106,109,3,61,88,96,13,36,99,63,80,18,47,82,7,21,121,111,42,16,83,17,64,1,103,68,107,114,19,112,102,31,76,65,56,12,71,43,29,48,73,5,120
1: 51,118,25,116,123,45,57,100,22,74,23,108,113,70,8,87,46,40,115,89,52,97,24,101,6,127,98,27,26,105,33,122,10,54,110,11,119,78,15,95,117,49,92,86,67,124,79,55,75,50,30,85,66,60,94,35,14,37,90,126,72,81,53,9,13,128,44,34,62,20,69,39,3,104,109,58,61,93,125,59,32,4,28,106,84,88,91,96,2,36,63,18,38,47,99,41,77,31,80,16,121,48,21,114,83,65,1,103,42,56,12,7,64,112,5,102,76,43,111,71,82,29,19,17,68,120,107,73
1: 51,123,118,116,45,25,57,8,108,100,22,6,33,115,52,97,87,23,46,74,70,98,40,89,113,101,122,127,24,117,105,75,11,10,15,26,27,78,110,79,124,95,66,54,119,37,50,49,86,55,92,81,72,126,67,90,30,62,53,60,59,34,94,14,85,128,9,35,20,28,91,4,39,69,58,104,125,106,32,84,44,3,61,93,41,96,109,88,77,38,99,13,2,21,63,47,36,103,18,121,80,82,7,1,64,16,42,83,114,31,19,68,12,111,56,102,43,76,65,48,17,112,107,29,5,73,71,120
1: 51,116,118,123,25,57,8,115,46,26,52,74,100,70,87,113,22,23,45,60,10,117,6,98,54,89,50,101,97,110,108,105,67,55,24,127,94,11,95,78,124,122,37,27,49,90,53,30,86,85,15,34,40,75,119,14,79,44,35,106,58,72,126,18,33,92,13,39,9,62,20,109,81,2,59,61,66,4,63,93,32,128,41,69,3,84,125,96,28,91,99,77,104,38,36,80,88,121,47,5,83,56,16,65,112,42,48,31,76,114,12,21,1,111,64,102,82,43,120,7,103,71,19,29,68,107,17,73
1: 51,118,45,25,123,116,108,57,22,8,100,33,23,98,97,52,6,40,74,46,115,127,89,113,87,24,70,101,122,105,117,110,27,54,10,15,11,75,119,95,79,78,86,49,92,66,50,26,124,14,90,37,30,72,55,126,53,67,9,35,81,62,94,85,59,60,39,128,28,34,69,106,3,20,104,125,91,93,58,84,4,32,109,88,96,13,44,61,77,99,2,47,36,38,41,21,80,63,121,1,16,82,103,31,18,64,7,114,48,42,12,111,83,19,102,68,65,43,56,17,76,29,112,107,71,5,73,120
1: 51,25,118,123,57,116,46,52,74,26,117,115,50,22,113,70,8,100,6,10,23,110,45,87,105,89,55,30,67,54,60,97,90,101,122,24,108,124,37,95,127,94,78,34,75,49,53,98,35,11,72,27,15,58,86,14,106,126,119,62,92,13,44,33,85,2,4,81,66,28,20,39,79,59,9,18,109,40,80,41,96,77,91,128,61,99,38,84,63,3,69,121,32,104,93,125,83,47,36,88,5,31,65,76,42,82,16,21,56,112,64,48,114,102,103,7,12,1,29,120,19,111,43,71,68,107,17,73
1: 51,25,123,118,8,57,45,116,6,46,113,74,52,70,22,115,23,117,100,87,108,26,89,122,98,95,24,127,97,33,10,40,110,54,60,101,75,49,72,50,105,124,53,119,55,11,27,78,81,37,79,62,90,66,30,86,14,15,94,85,92,128,39,59,126,44,104,28,67,20,4,91,109,58,2,77,35,41,38,61,9,93,13,18,69,125,96,34,99,32,88,84,3,36,106,63,7,47,80,42,16,114,103,65,12,83,82,21,64,102,121,76,111,1,43,56,107,17,5,112,71,68,29,19,31,48,73,120
1: 51,116,118,25,123,8,57,45,52,115,100,22,23,97,127,108,87,98,117,74,70,113,6,110,89,101,40,46,24,105,33,10,119,26,122,11,95,66,86,50,27,49,60,54,67,78,79,15,81,90,75,30,92,55,62,124,34,126,72,85,37,94,59,20,53,14,128,104,35,28,4,69,91,9,32,39,84,109,38,125,96,41,106,93,3,99,77,44,61,13,58,2,88,80,18,63,16,47,121,36,21,103,7,56,31,64,83,65,114,111,1,42,82,102,12,112,43,76,17,5,48,68,19,29,107,120,71,73
1: 57,51,118,116,45,25,115,98,8,97,100,52,70,22,27,113,10,79,110,46,40,74,33,6,123,23,108,89,101,24,54,49,92,105,55,50,35,26,117,122,11,127,78,125,93,39,20,95,13,32,87,60,53,119,106,37,72,2,62,59,77,47,99,66,80,90,86,3,30,67,128,75,15,14,9,4,28,81,84,126,109,94,58,85,36,124,44,34,61,63,18,69,104,96,38,41,91,88,21,1,121,16,83,31,42,102,76,114,65,103,64,43,82,7,12,19,111,5,120,112,56,48,71,29,68,17,107,73
1: 51,118,45,25,123,116,108,57,22,100,52,8,23,33,97,40,127,98,24,6,89,117,70,74,113,87,110,115,46,101,66,105,122,27,119,86,15,11,95,54,49,75,10,50,78,92,79,90,26,81,30,62,67,14,59,124,60,126,72,55,85,34,94,28,37,35,53,128,9,91,20,69,104,39,4,32,93,125,84,3,96,41,38,58,109,77,88,106,99,61,44,13,80,21,2,16,36,47,64,63,103,82,7,1,121,18,114,31,111,42,102,83,65,68,12,19,56,43,76,17,112,48,107,29,5,73,120,71
1: 51,118,25,116,123,57,45,8,100,22,23,52,108,115,74,70,113,97,87,46,89,127,6,98,24,40,117,110,101,33,105,10,27,122,26,11,54,119,95,86,50,78,49,15,66,75,60,79,92,124,67,90,30,55,94,85,81,14,37,126,62,72,53,34,35,59,128,20,39,9,28,104,69,44,32,58,91,4,125,109,106,93,13,84,3,61,96,38,41,77,99,88,2,18,63,80,36,16,121,21,47,103,7,83,114,64,1,31,82,65,42,56,111,102,12,76,43,5,68,112,19,48,17,107,29,120,71,73
1: 51,25,118,123,45,116,8,23,57,97,52,100,110,22,117,115,87,24,108,70,6,89,98,113,40,74,95,127,86,60,46,50,33,101,11,27,49,105,66,26,122,30,10,81,119,90,75,54,78,15,94,62,55,92,126,59,34,67,14,72,20,104,79,28,124,85,4,69,37,128,32,91,38,35,53,41,9,39,77,93,125,58,96,2,99,84,109,13,44,80,88,3,61,106,16,18,63,103,21,64,7,36,114,47,121,42,56,82,83,102,65,1,76,12,111,17,43,31,19,48,68,107,112,120,5,29,73,71
1: 51,118,123,45,25,52,116,108,117,57,8,23,100,127,22,33,97,110,40,66,89,6,98,70,115,24,87,113,50,86,74,122,49,119,101,46,95,81,105,90,27,11,15,62,75,59,30,60,10,78,92,54,67,26,34,28,79,124,91,126,14,128,20,104,72,69,85,55,37,94,4,35,53,9,41,84,38,96,32,39,77,80,109,93,99,21,125,64,58,16,61,13,88,3,103,7,82,106,44,121,1,111,2,63,31,83,114,36,18,102,65,76,42,43,12,68,19,47,56,112,17,29,5,73,48,107,120,71
1: 51,118,52,25,123,45,108,117,116,8,127,66,87,50,110,57,100,115,23,70,97,89,24,98,33,81,22,40,86,49,74,113,122,6,119,60,95,90,62,59,34,46,10,105,78,126,11,27,15,75,30,67,91,28,101,104,20,26,54,94,72,79,92,85,128,69,4,38,77,41,124,55,53,35,14,32,84,96,80,99,37,9,39,109,93,16,21,103,7,64,82,58,125,61,88,121,1,111,2,44,106,3,13,18,63,114,83,65,42,56,102,12,76,43,68,19,17,36,47,31,112,5,73,107,29,120,48,71
1: 51,25,8,118,123,57,116,46,6,52,115,74,113,70,45,100,22,122,117,105,50,23,26,108,89,127,97,98,87,24,10,101,54,75,78,55,40,60,124,37,110,94,33,86,30,11,53,62,126,67,79,90,95,27,15,58,72,119,49,35,85,92,14,34,20,59,39,9,44,77,13,106,66,3,81,2,128,28,91,41,4,96,38,109,69,125,61,18,32,99,104,93,63,84,80,88,36,83,121,47,112,31,42,76,64,82,5,21,16,65,12,56,102,48,103,7,1,114,43,29,111,19,107,71,68,17,120,73
1: 51,118,45,116,25,123,8,100,108,115,23,57,52,89,70,87,40,98,24,97,22,127,6,122,74,33,110,49,113,117,46,101,11,95,26,27,72,10,50,75,28,119,15,54,126,60,55,92,59,66,105,81,94,90,86,104,30,78,67,79,85,62,128,37,34,53,14,124,77,38,93,39,91,20,32,35,99,80,4,69,106,44,58,41,84,82,7,125,88,96,13,16,9,21,63,2,61,3,103,109,121,111,64,42,18,65,43,76,83,36,31,12,114,68,47,56,1,107,19,17,112,71,102,29,48,5,73,120
1: 118,51,25,116,74,100,40,70,52,45,33,22,23,24,57,110,89,97,123,113,95,50,127,46,87,85,78,8,108,115,117,60,27,66,119,49,94,10,126,15,92,86,98,30,67,54,101,90,18,81,11,14,26,124,105,20,39,75,28,128,32,6,61,125,59,37,104,9,79,69,13,122,63,35,99,109,84,38,58,55,72,41,91,44,53,93,3,77,4,62,96,34,121,88,21,106,112,114,83,1,80,36,103,16,47,56,102,2,64,111,31,7,42,76,5,68,120,17,19,12,65,48,71,82,107,43,29,73
1: 51,25,116,118,57,115,123,8,23,100,74,22,87,70,45,46,101,113,6,24,97,27,108,10,98,89,54,52,11,40,26,105,127,60,78,95,15,119,92,117,124,85,55,44,79,110,94,86,122,90,49,50,33,75,67,66,126,37,72,53,30,35,9,39,14,58,34,62,106,128,20,13,32,3,18,109,81,93,125,69,104,61,59,4,63,2,88,84,28,99,38,96,36,91,121,47,77,16,103,41,56,80,31,5,114,111,83,65,21,7,12,42,102,1,68,43,76,71,17,112,64,48,107,19,82,73,120,29
1: 51,118,25,116,123,57,100,74,70,87,23,115,46,26,22,52,113,45,101,8,89,10,127,108,97,60,50,11,6,105,78,54,24,117,86,110,15,98,124,85,67,27,55,94,95,40,122,119,49,92,44,30,90,33,75,126,79,66,35,14,34,37,20,58,72,61,53,106,81,13,18,9,109,63,62,32,69,39,128,3,59,4,104,2,28,125,93,84,96,99,91,121,36,88,38,77,41,80,16,47,56,83,65,5,31,1,114,42,21,112,103,12,111,76,68,7,120,48,43,19,102,64,82,107,17,71,29,73
1: 51,118,25,45,123,116,108,23,8,52,57,22,33,87,97,70,98,127,100,40,24,115,113,6,89,74,46,110,117,101,105,15,122,78,27,119,75,11,95,49,54,10,86,66,26,79,92,126,50,94,67,85,30,55,60,90,37,72,81,124,14,53,35,128,62,59,104,9,20,58,34,39,28,69,91,61,84,32,125,93,3,109,96,4,44,106,38,41,88,77,13,63,99,21,2,18,36,47,16,80,121,1,103,64,114,7,12,42,31,82,102,56,65,111,17,76,19,112,83,68,48,43,5,73,107,29,120,71
1: 51,25,118,116,8,123,115,57,45,22,23,6,74,100,24,46,70,101,113,89,87,108,97,27,11,98,54,40,52,10,105,127,26,78,119,55,33,124,117,95,60,79,122,92,44,15,75,110,37,86,72,53,94,39,85,49,14,126,66,50,81,62,90,30,128,13,35,104,20,9,58,93,67,3,59,32,125,106,34,109,18,69,28,4,88,2,61,38,36,91,84,47,99,63,77,96,41,16,121,103,7,21,114,83,111,80,65,42,56,102,43,5,68,12,31,17,1,64,82,48,76,71,112,107,19,73,29,120
1: 51,118,116,123,25,52,57,8,45,115,117,50,87,70,100,22,108,46,74,6,113,89,110,23,97,98,26,127,60,24,122,86,10,101,67,34,105,90,30,49,78,95,54,119,11,40,75,55,33,15,94,124,27,59,66,81,20,62,37,53,79,85,72,92,126,14,4,35,58,41,28,128,91,69,106,104,9,39,109,32,77,38,84,44,93,99,96,13,80,18,2,125,61,63,3,36,83,121,88,5,16,56,64,82,21,76,112,65,42,31,47,1,114,12,102,111,43,19,7,103,48,68,120,29,17,107,71,73
1: 51,25,45,23,118,57,100,8,116,74,108,22,123,70,127,46,87,113,115,97,52,24,33,98,95,27,15,54,119,6,89,40,92,78,105,50,110,10,86,49,101,26,66,75,117,60,79,11,85,94,67,124,55,90,126,69,35,58,122,14,63,53,81,62,20,37,59,39,32,128,61,125,44,104,72,34,109,106,93,13,84,3,28,91,4,96,9,99,77,88,38,36,47,80,18,121,2,16,21,31,7,30,1,41,42,103,56,83,114,64,82,111,12,68,65,48,19,43,107,112,17,5,76,102,29,71,120,73
1: 51,118,25,45,116,123,108,52,57,8,22,23,100,33,40,98,127,74,115,89,24,6,70,97,113,46,87,110,117,101,27,119,54,105,122,49,10,66,15,11,79,78,92,75,86,95,26,14,50,67,30,124,37,55,90,53,81,72,59,62,126,128,9,35,39,60,94,85,28,34,69,125,91,104,93,20,3,4,84,58,106,109,32,61,96,88,41,38,77,44,13,99,2,21,36,16,80,47,63,18,64,103,1,82,102,7,121,114,42,83,111,65,76,43,56,19,17,68,31,12,112,73,107,5,29,120,48,71
1: 51,25,118,116,45,123,100,108,57,8,22,23,33,74,70,89,52,98,6,97,115,46,40,87,127,113,24,101,110,10,122,105,27,11,54,15,117,119,92,79,86,78,75,49,26,95,124,66,50,55,14,90,126,94,37,30,67,85,53,35,72,9,81,60,59,62,106,28,69,128,3,104,20,39,34,58,109,44,13,32,91,88,93,125,4,61,84,96,36,2,63,99,38,77,47,41,80,121,18,21,16,31,1,114,103,48,7,82,83,64,65,42,12,68,111,56,19,76,43,102,17,5,107,112,29,120,71,73
1: 51,116,25,57,118,115,123,22,74,8,23,101,70,46,100,87,113,45,24,11,27,10,6,98,105,89,97,26,40,54,117,60,108,52,78,44,55,94,124,95,85,79,110,127,15,119,86,122,92,37,49,75,50,72,90,30,66,39,67,53,126,33,62,13,34,14,9,81,93,58,20,35,59,125,18,128,32,4,106,61,109,2,104,3,69,63,99,28,36,88,96,84,38,91,41,121,47,77,83,80,16,103,56,114,111,65,7,31,5,68,42,12,112,1,102,43,21,107,17,64,82,19,76,48,71,120,29,73
1: 51,118,25,57,45,100,123,52,116,22,23,70,97,108,87,115,98,74,8,89,40,110,113,127,119,46,33,86,24,49,101,27,66,95,6,117,105,10,78,60,122,85,30,11,15,67,124,54,26,14,75,90,50,94,92,104,72,126,79,55,35,20,28,128,69,37,81,39,61,9,53,4,93,62,32,125,91,44,109,99,3,84,38,41,59,34,58,18,13,63,88,2,77,96,16,121,47,106,36,114,56,64,103,102,83,17,80,42,111,21,65,76,31,112,7,82,19,1,43,68,5,12,107,120,73,48,29,71
1: 51,118,123,25,57,116,23,45,46,52,74,8,115,100,22,113,101,97,26,110,87,117,6,127,70,27,119,105,124,86,24,11,54,108,89,95,60,40,67,122,10,50,55,66,49,30,98,15,33,81,78,90,79,34,32,94,92,62,85,35,44,69,104,39,75,59,14,20,37,84,128,109,126,28,9,18,53,4,72,125,58,80,91,13,93,106,3,38,2,61,121,99,63,41,77,96,36,16,83,88,5,21,65,111,56,102,31,43,114,76,42,47,107,103,12,1,19,112,73,68,120,17,64,7,82,29,48,71
1: 51,118,45,25,123,116,52,57,23,22,108,100,8,127,33,117,97,110,40,70,98,113,66,89,24,115,6,74,87,119,86,46,49,95,50,105,122,101,15,27,75,81,11,30,62,90,78,59,10,54,60,67,92,28,34,26,79,20,128,126,91,104,85,72,14,69,94,124,4,35,55,53,41,38,77,32,37,84,9,96,39,99,109,80,21,93,16,64,125,103,7,82,58,61,88,121,2,1,111,3,106,44,13,63,83,114,42,18,102,19,65,76,43,56,12,68,17,36,47,31,112,73,107,5,29,120,71,48
1: 51,25,123,118,116,45,57,100,52,22,23,127,108,117,110,8,97,33,113,6,70,40,66,115,74,98,87,46,101,89,86,24,50,119,122,49,95,105,15,27,90,30,81,11,54,26,92,75,62,60,10,78,124,67,34,79,28,59,14,20,128,85,104,72,69,32,126,91,37,94,35,4,55,53,9,39,84,96,38,41,77,125,109,93,58,3,13,44,80,21,61,106,103,16,64,88,7,2,121,99,18,1,31,63,83,36,82,111,114,102,56,43,47,42,65,68,76,19,29,112,12,17,107,5,48,73,71,120
1: 51,118,116,57,25,22,123,45,113,74,115,23,8,108,98,46,100,89,52,70,87,24,117,6,33,27,10,40,54,127,101,105,97,79,119,86,75,122,78,15,11,110,26,37,55,85,95,90,124,53,67,94,30,92,9,49,126,72,62,35,60,14,104,81,39,66,58,106,28,50,128,34,44,69,59,13,125,3,91,93,61,84,88,4,109,20,36,18,32,2,96,63,38,99,41,16,121,21,77,47,83,103,65,12,80,102,114,31,7,82,5,76,56,1,64,42,111,48,43,19,17,68,71,112,107,73,120,29
1: 51,118,25,116,45,123,100,57,22,23,115,8,108,46,113,74,97,70,52,87,101,127,98,89,6,27,10,24,33,40,105,54,110,11,78,119,15,79,122,26,117,95,49,86,92,124,60,85,67,55,94,53,66,75,14,37,90,50,30,35,39,72,126,62,106,44,13,3,34,81,69,109,9,125,128,104,61,20,93,59,58,28,4,96,18,88,99,84,2,63,32,47,91,36,38,41,77,121,16,56,80,31,1,103,21,65,114,48,83,12,111,102,43,42,7,5,64,17,68,76,82,19,112,107,71,29,120,73
1: 51,25,123,118,45,116,100,22,108,57,8,23,52,97,33,127,40,6,74,113,115,98,89,70,24,117,110,46,87,101,105,27,122,15,11,95,54,119,66,49,78,10,26,92,86,75,50,79,124,81,67,14,30,55,62,126,94,90,72,35,59,60,85,37,34,53,69,128,39,9,91,28,20,104,125,93,4,109,84,96,3,58,32,88,61,106,44,13,77,38,2,41,99,63,18,80,16,47,36,103,21,7,121,64,1,114,82,83,31,65,102,111,56,42,76,12,43,19,68,5,17,48,107,112,29,73,71,120
1: 51,123,25,118,116,45,100,108,57,8,115,23,87,22,70,97,52,74,98,89,117,6,113,33,24,40,127,101,46,105,122,11,50,95,10,26,27,15,78,75,54,60,110,92,49,119,79,126,66,124,85,81,72,62,86,94,34,55,14,67,20,35,53,90,9,37,30,128,59,32,4,39,38,44,93,41,77,69,58,104,99,109,125,91,96,84,28,3,61,106,2,13,88,63,18,80,36,103,16,7,64,121,82,47,83,56,21,42,43,31,111,17,1,5,65,12,112,114,102,68,76,19,73,107,29,48,120,71
1: 51,118,25,123,45,116,57,100,52,23,108,8,70,22,74,97,127,89,87,40,113,33,115,117,24,101,46,6,98,110,66,105,119,86,50,11,49,95,26,27,122,15,78,54,10,60,75,81,30,67,92,90,124,62,85,79,94,55,34,14,126,59,72,20,128,35,28,104,69,37,53,4,91,32,9,44,96,39,38,109,84,41,61,125,77,58,99,3,13,93,2,106,88,18,80,36,63,16,21,121,47,103,1,114,64,7,56,83,82,31,65,42,111,68,102,12,19,76,43,17,112,5,107,48,120,29,73,71
1: 51,118,25,45,123,116,57,22,108,100,23,8,52,33,97,74,127,40,113,6,98,115,24,89,70,117,46,87,110,122,101,105,119,27,86,66,95,11,54,49,15,10,26,75,78,92,50,30,67,79,124,14,81,90,60,62,55,59,72,37,128,35,85,34,94,28,126,53,9,20,69,104,39,4,91,125,32,96,84,3,109,93,13,58,61,38,106,88,41,44,77,99,80,2,21,36,16,47,63,31,18,121,103,64,7,1,114,82,83,42,65,102,12,111,43,56,76,19,68,112,17,48,29,107,71,120,5,73
1: 51,118,116,25,45,123,23,8,22,57,108,115,70,100,97,113,87,6,98,52,127,40,117,46,89,74,33,24,122,105,110,101,11,78,10,54,15,95,27,75,26,86,50,119,79,49,60,66,90,85,92,55,94,30,67,126,72,124,37,14,35,81,62,20,53,34,9,128,32,59,104,39,58,28,106,69,3,61,91,84,44,4,109,93,125,99,38,96,63,77,13,41,88,2,18,80,47,121,21,36,16,1,7,31,56,103,82,42,64,12,114,112,111,65,83,76,102,17,19,48,68,43,5,107,29,120,73,71
1: 51,25,118,123,116,100,45,52,57,8,108,70,97,23,22,127,110,66,117,33,87,24,89,40,50,74,115,98,113,86,46,6,60,49,95,101,122,10,81,11,105,119,27,26,15,62,75,78,90,34,59,30,67,92,54,126,28,20,79,85,94,124,72,91,55,104,69,128,4,14,38,53,32,35,41,77,37,9,84,96,99,93,39,80,109,58,125,61,16,44,2,106,88,21,103,13,7,121,3,63,64,1,82,18,111,56,83,114,36,42,43,68,47,65,76,19,12,31,17,102,112,5,107,73,120,48,29,71
1: 51,118,25,116,123,45,52,57,117,8,100,22,127,108,110,23,66,97,115,33,70,98,113,87,40,74,89,6,24,119,86,46,50,101,81,95,49,105,15,90,30,62,122,60,27,11,59,10,54,75,26,92,78,67,34,28,79,14,128,124,126,91,85,20,72,104,55,69,37,94,4,32,35,9,53,38,39,41,77,84,109,125,96,44,99,58,3,93,21,80,16,61,106,64,103,88,7,82,121,13,18,2,63,36,1,111,83,114,42,102,56,47,65,76,68,43,31,19,12,17,112,73,107,29,5,120,48,71
1: 51,118,116,25,123,108,45,57,23,8,22,100,115,87,46,98,70,33,74,52,113,89,40,127,97,6,101,24,117,105,110,10,27,54,78,15,122,11,26,86,119,79,95,75,50,124,49,66,90,92,30,67,60,94,85,55,37,126,14,53,72,9,62,35,81,59,106,34,39,44,69,20,128,58,104,3,125,109,28,4,32,13,93,91,61,84,96,88,99,63,36,2,18,77,38,121,41,80,47,16,21,31,103,56,1,114,83,65,111,7,42,82,48,12,64,102,43,68,76,19,5,17,112,107,29,120,71,73
1: 51,25,118,116,100,57,45,123,70,23,74,8,89,108,115,22,10,46,24,113,127,110,52,87,26,101,40,33,98,97,105,11,15,124,86,78,94,85,117,54,49,92,6,119,79,50,27,122,60,30,75,44,66,53,126,106,67,95,90,55,81,14,37,72,35,20,128,9,69,13,62,34,58,61,104,109,3,28,63,39,4,125,32,36,84,93,59,2,91,96,88,18,121,99,16,77,38,47,80,31,114,65,83,56,103,41,1,48,68,21,5,42,76,111,43,7,19,120,102,64,12,112,107,17,82,71,29,73
1: 51,118,45,25,123,116,52,108,57,8,22,117,100,23,33,127,97,40,110,98,66,113,115,24,89,6,74,87,70,46,122,86,119,49,50,101,95,105,81,27,15,75,54,11,62,90,30,10,78,59,92,60,26,79,34,28,67,91,14,128,126,55,72,85,94,20,69,53,4,37,9,124,35,39,104,84,32,125,96,93,41,109,38,58,3,61,106,21,44,88,64,16,99,13,77,7,114,82,121,103,36,63,1,47,42,80,2,83,18,31,111,76,102,43,68,12,19,56,29,17,112,65,73,48,107,71,5,120
1: 51,116,118,25,123,100,74,57,45,22,97,46,101,108,113,8,105,115,89,23,52,87,127,6,70,117,10,98,26,54,24,119,27,33,110,40,124,50,11,78,75,86,60,15,30,49,92,122,95,67,79,35,66,55,9,85,94,14,34,72,37,62,90,126,44,13,20,59,53,106,128,69,81,28,3,61,2,109,32,93,58,39,4,96,125,104,88,84,99,91,36,18,38,77,121,63,47,83,56,16,80,41,1,114,103,21,111,31,65,5,42,64,19,43,102,68,7,12,82,48,112,76,107,120,29,73,17,71
1: 51,118,25,45,116,123,108,52,57,8,22,23,100,33,40,98,127,74,115,6,89,24,97,70,113,46,122,87,110,117,101,27,119,105,54,49,10,11,66,79,15,92,78,75,95,86,26,14,67,50,37,55,124,30,53,90,72,81,39,128,59,62,126,9,35,60,125,94,85,28,34,13,93,69,20,91,104,3,84,4,58,106,109,32,96,88,61,41,38,77,44,99,80,2,21,36,16,47,31,63,64,82,7,103,18,102,114,1,121,83,42,43,111,65,112,56,76,12,19,48,17,68,29,73,5,107,120,71
1: 51,118,45,123,25,116,108,8,57,52,100,22,23,33,98,115,40,127,6,89,74,97,122,24,70,117,66,87,113,110,46,27,119,10,105,101,49,50,95,79,54,11,81,15,78,75,92,86,90,30,62,59,26,60,14,37,126,67,72,53,91,35,34,85,124,9,69,28,94,55,20,128,4,104,39,13,93,88,96,80,125,106,77,41,38,3,84,109,61,32,7,58,99,44,82,21,2,64,103,16,31,63,47,18,121,1,36,111,42,114,12,19,48,65,56,68,83,43,112,76,102,5,29,17,71,107,73,120
1: 51,118,123,25,116,45,108,57,52,8,100,87,23,115,74,22,70,40,127,89,97,113,98,33,117,46,101,6,24,86,27,110,105,122,10,11,49,50,54,15,119,78,95,66,26,75,90,79,92,60,124,67,126,30,85,94,55,62,81,14,72,59,53,35,34,20,104,37,9,128,69,28,39,91,4,32,58,44,93,109,106,84,3,96,125,61,13,99,77,38,88,2,41,63,18,80,36,121,16,47,21,103,1,31,7,114,65,64,56,111,83,82,12,42,102,76,68,43,17,19,5,48,112,107,29,120,73,71
1: 51,116,118,25,57,123,100,23,115,26,87,70,113,74,101,22,60,127,8,52,117,46,45,97,105,86,95,11,119,89,110,6,50,67,10,108,98,78,40,85,27,24,66,124,94,49,54,44,15,55,30,122,90,34,20,126,75,18,92,72,79,33,81,32,62,59,128,14,37,61,4,104,9,109,35,69,39,58,53,125,2,63,99,38,41,91,13,28,84,106,3,96,93,121,77,88,16,56,36,80,47,83,111,65,103,42,114,21,112,102,5,1,31,76,68,12,7,43,17,107,64,19,120,82,71,48,73,29
1: 51,118,25,45,116,123,52,8,100,108,57,23,33,22,127,98,117,70,89,40,115,24,74,97,110,87,113,6,66,46,119,49,122,101,50,86,78,95,10,30,27,75,15,81,92,105,54,11,67,62,90,59,79,60,14,26,126,34,124,94,91,35,28,104,85,37,128,72,69,20,4,53,9,55,96,125,84,39,41,38,77,32,88,109,3,93,106,61,99,13,80,58,21,64,7,44,16,103,63,2,82,18,36,121,83,12,1,31,47,114,111,42,65,102,19,68,56,76,17,43,107,112,5,48,73,29,120,71
1: 51,118,45,25,123,116,108,57,22,8,33,100,23,98,97,6,52,74,40,46,115,89,113,24,87,70,127,27,101,122,105,54,110,10,117,15,11,119,79,75,78,92,86,95,49,66,26,50,14,124,90,37,55,53,72,30,126,9,35,67,94,85,62,59,81,60,39,3,128,28,106,69,34,20,93,104,125,58,91,88,13,84,4,32,109,96,44,61,36,77,2,99,47,41,38,63,21,80,121,16,1,31,18,82,103,48,64,114,7,42,12,111,83,68,102,19,65,56,17,43,76,112,29,107,5,71,73,120
1: 51,118,25,123,45,52,116,127,108,8,23,100,22,57,66,117,33,110,98,40,89,6,74,24,113,97,87,115,49,86,119,81,70,46,101,15,95,50,105,122,30,92,90,75,62,27,54,10,78,11,59,67,34,79,26,14,60,128,20,91,28,85,72,69,126,55,94,96,35,9,104,37,53,4,32,84,124,109,38,125,3,88,93,106,58,64,39,99,41,13,44,61,80,7,77,2,16,21,31,103,63,114,83,121,1,36,42,102,47,82,18,111,12,68,17,76,19,65,56,43,112,29,107,48,73,71,120,5
1: 51,118,116,25,123,52,57,115,8,87,23,45,117,70,100,22,110,127,86,113,74,108,46,98,6,89,50,24,97,49,10,67,60,119,26,101,95,40,105,78,90,11,66,15,30,27,75,94,33,81,54,62,85,34,126,124,79,55,59,128,122,92,20,104,72,37,28,35,53,14,91,4,109,69,58,84,39,96,44,32,9,77,61,106,38,125,93,99,18,41,2,63,121,3,16,88,13,83,103,36,65,47,80,21,82,7,114,56,64,1,111,76,102,12,19,43,42,68,5,120,31,17,107,112,73,29,71,48
1: 51,25,118,123,57,45,22,116,100,74,46,8,113,23,24,115,52,108,6,89,97,54,87,40,127,70,98,33,117,27,101,105,110,122,78,10,26,11,15,124,50,119,95,75,79,86,37,92,55,94,90,30,49,66,14,60,72,126,85,67,53,39,35,81,62,9,34,44,125,58,13,128,106,20,59,93,104,3,69,91,28,61,88,32,109,4,84,99,2,18,63,77,36,96,38,41,47,80,121,16,21,114,103,65,1,7,83,42,102,56,76,31,111,48,5,12,82,64,43,19,112,68,17,107,120,71,29,73
1: 51,118,25,116,45,123,52,23,8,57,108,22,100,115,98,70,40,6,127,113,46,74,33,89,87,24,101,97,105,10,54,27,110,79,78,122,49,119,92,117,11,26,15,55,37,53,86,95,75,67,124,50,66,90,14,60,9,72,35,85,62,106,30,125,39,34,126,94,128,59,93,13,3,20,28,81,58,84,69,109,44,104,91,32,4,2,61,96,88,77,38,99,41,80,21,47,36,121,103,16,31,64,43,82,7,63,19,18,83,1,114,111,102,42,76,65,112,56,68,17,12,5,120,29,73,107,48,71
1: 51,118,25,45,123,116,108,52,57,8,22,23,100,33,127,40,98,89,97,24,74,117,115,6,113,110,70,46,87,66,119,101,27,49,105,86,54,15,95,11,10,78,122,75,50,92,30,79,81,26,67,90,14,62,59,124,60,37,55,72,126,28,34,128,53,85,35,94,9,91,104,69,20,39,4,84,125,93,32,41,96,38,109,3,58,77,61,88,99,106,44,21,16,13,2,80,64,36,103,7,82,63,1,47,121,18,114,102,111,83,42,65,76,43,56,19,68,12,17,31,112,73,107,29,5,120,48,71
1: 51,118,25,45,123,116,52,108,8,100,57,22,23,33,127,117,97,110,98,89,40,24,70,66,115,87,6,113,74,46,86,50,119,95,122,49,101,105,27,81,15,11,75,78,90,10,62,30,54,59,60,92,67,26,79,28,34,126,14,72,91,124,128,20,85,104,94,55,69,35,4,53,37,9,41,39,38,77,32,84,96,93,125,99,109,80,21,58,61,3,88,16,64,106,2,103,7,44,82,13,1,121,63,18,111,36,114,47,42,102,83,56,76,65,12,68,19,43,17,31,112,107,73,29,5,48,120,71
1: 51,25,123,118,57,116,46,8,74,115,52,100,26,22,113,6,45,70,87,23,101,10,24,117,54,55,50,89,97,108,105,122,110,60,98,124,127,11,67,95,78,37,75,27,94,53,13,72,30,15,49,14,40,86,79,85,44,58,35,92,33,39,90,34,119,126,62,2,106,18,20,9,81,109,93,125,128,66,4,61,41,32,3,59,28,84,104,69,91,96,63,88,38,77,99,47,36,80,83,121,5,31,48,42,16,65,56,112,103,82,76,114,64,12,7,21,102,43,71,29,1,111,120,19,68,17,107,73
1: 51,25,116,118,45,123,22,52,57,110,100,117,97,23,127,8,108,33,115,66,70,40,113,6,98,74,87,89,46,105,24,86,101,95,122,119,50,11,90,59,60,49,30,26,62,54,27,81,15,75,92,10,28,34,67,124,78,55,37,72,79,14,104,91,32,20,128,126,69,39,85,94,38,77,4,41,84,21,53,35,80,9,99,16,109,96,93,58,125,13,44,61,103,64,82,3,83,121,7,88,43,111,2,1,19,68,56,42,102,18,106,112,65,36,63,76,114,47,17,73,31,12,107,5,29,120,71,48
1: 51,118,123,25,45,116,52,57,8,108,22,23,100,97,33,115,87,6,74,70,98,40,113,24,127,110,89,117,46,101,105,15,66,122,119,27,11,95,49,10,54,78,86,75,26,50,67,92,79,30,124,81,60,14,90,62,55,59,126,72,94,37,34,85,128,35,20,53,28,69,39,104,91,9,4,96,32,84,125,109,93,58,38,77,41,44,61,13,99,3,106,80,2,88,21,63,16,18,36,64,121,103,7,47,1,83,82,111,65,31,114,43,19,56,42,102,12,112,17,68,76,48,107,5,29,120,73,71
1: 51,25,118,116,123,117,52,100,45,127,108,66,57,110,115,22,86,8,23,113,70,98,89,50,87,49,97,74,24,90,33,40,6,119,46,81,122,60,62,59,101,11,15,27,95,34,30,105,54,67,75,85,10,78,28,91,126,79,26,20,72,92,104,124,94,69,128,14,4,35,80,38,55,96,37,53,99,32,9,109,41,77,84,39,16,121,93,21,103,3,88,7,125,106,64,13,82,44,2,58,61,63,83,111,1,43,31,19,42,65,68,114,36,47,76,56,102,12,18,112,17,5,29,107,73,120,48,71
1: 51,116,115,123,25,52,118,8,87,46,98,45,57,70,75,113,50,74,10,22,122,6,89,23,30,55,100,34,108,90,105,78,94,67,37,86,110,101,97,85,127,26,117,24,54,128,11,53,106,60,15,95,35,49,40,79,119,58,124,14,72,20,27,44,62,9,126,13,59,18,33,109,28,92,39,2,93,69,96,38,4,3,104,121,66,41,32,36,125,77,81,63,91,84,61,99,83,112,88,80,31,114,76,65,12,56,64,16,47,5,48,102,103,21,29,82,19,1,120,111,42,7,71,43,68,107,73,17
1: 51,25,118,116,123,57,8,45,115,22,100,52,74,113,23,46,87,6,108,70,24,89,97,127,98,117,101,40,122,110,10,26,105,27,33,54,11,119,78,50,95,86,66,15,60,49,75,55,67,124,79,30,90,81,92,94,85,62,126,72,37,14,53,34,39,59,20,128,35,104,44,9,13,69,4,28,58,32,109,91,93,125,3,84,38,61,106,77,88,96,2,41,99,18,63,80,36,47,121,16,21,103,7,83,82,114,31,64,1,111,65,42,56,5,112,43,12,102,76,48,68,19,17,29,71,107,120,73
1: 51,118,25,116,123,57,45,100,23,52,22,8,108,74,115,127,113,70,97,87,89,117,46,40,98,6,24,101,110,33,119,105,26,86,66,95,27,11,10,54,49,50,78,15,60,122,67,92,30,75,124,90,79,55,81,85,14,34,94,59,62,126,72,37,20,128,35,53,9,39,104,69,28,4,91,32,44,125,84,109,58,93,61,3,41,38,96,99,106,77,2,13,18,88,63,16,80,36,121,21,47,103,56,83,1,114,64,65,42,7,111,102,82,76,43,31,12,68,19,17,112,5,107,73,120,48,29,71
1: 51,118,116,123,100,25,8,57,115,74,45,52,89,108,22,113,87,97,60,127,46,117,23,50,70,10,24,119,26,98,110,86,101,95,105,66,40,67,49,78,11,85,27,33,6,124,90,15,20,122,34,94,18,30,126,69,54,55,62,81,128,4,79,59,44,9,99,92,104,109,38,75,32,28,72,35,91,14,77,125,84,93,41,37,80,96,58,53,61,39,121,16,2,103,88,56,5,13,111,63,43,83,106,7,82,1,64,102,65,21,36,3,19,76,12,114,68,42,73,107,31,112,120,47,17,29,48,71
1: 51,118,45,25,123,116,108,52,57,100,22,8,23,33,97,127,117,40,98,110,70,89,113,115,74,46,6,24,87,101,119,86,66,105,49,15,27,95,54,10,78,11,75,30,92,50,67,79,26,81,14,90,124,62,59,28,60,128,122,37,126,55,85,35,94,72,34,9,69,91,53,104,39,20,4,125,84,3,109,96,93,58,61,32,106,88,44,41,38,77,21,99,16,36,63,64,2,7,103,18,1,82,114,47,121,102,83,13,42,76,12,65,111,80,56,68,19,43,31,17,107,73,120,48,112,29,5,71
1: 51,25,118,116,57,8,123,46,74,6,45,115,113,100,22,23,52,70,98,87,24,26,117,54,108,101,105,10,97,89,122,50,124,55,37,40,78,127,67,75,95,33,27,110,53,94,72,11,30,79,90,58,60,15,44,14,126,62,85,119,86,92,35,49,34,13,106,39,9,93,128,59,18,125,41,20,109,2,66,81,4,63,28,61,3,84,69,96,36,91,104,99,32,77,88,38,80,47,83,121,16,5,42,31,65,112,76,64,12,21,103,102,82,114,56,1,48,111,7,29,107,19,71,43,68,17,120,73
1: 51,118,25,123,116,45,57,8,100,52,23,22,108,115,74,70,97,89,87,113,127,46,24,6,98,40,117,110,101,10,33,105,26,11,27,122,54,119,95,50,49,78,60,86,15,66,75,30,67,124,92,79,55,94,90,81,126,14,85,72,62,34,53,37,20,128,35,59,9,28,104,39,44,91,69,32,109,58,4,84,13,125,106,93,3,96,61,38,99,41,2,77,88,18,63,80,16,47,36,21,121,103,114,83,7,31,1,64,65,56,82,111,42,12,102,76,68,43,48,19,17,112,107,5,29,73,120,71
1: 51,25,118,57,116,123,23,52,74,46,8,45,70,115,22,100,87,127,40,6,110,119,108,113,97,98,27,49,24,101,54,89,122,78,26,105,33,117,95,15,67,37,10,11,86,79,124,104,75,13,94,60,55,44,128,90,50,14,92,30,35,18,85,126,39,69,53,58,125,66,109,72,84,81,106,20,61,32,62,28,3,9,36,93,63,96,34,2,88,4,59,99,41,5,38,91,16,77,80,47,83,114,65,48,121,56,31,21,102,12,103,7,76,111,112,71,43,17,120,82,42,1,107,64,68,19,29,73
1: 51,118,25,123,45,116,57,22,108,8,100,33,74,23,52,46,89,98,40,24,115,113,6,97,127,70,87,54,101,27,122,10,105,110,117,79,78,11,15,119,75,92,26,66,95,49,86,124,14,37,50,53,55,30,90,67,72,9,126,35,94,39,85,62,81,59,106,3,60,125,128,93,69,34,28,58,91,13,20,88,104,84,4,109,44,61,32,96,36,77,99,41,2,47,38,63,80,21,121,16,1,31,18,82,103,64,48,114,7,42,111,83,12,102,65,43,19,68,76,56,17,112,29,5,107,73,71,120
1: 51,118,45,116,57,123,25,108,22,8,52,33,100,98,40,23,46,97,115,6,74,70,89,24,113,127,110,87,27,122,119,101,54,117,105,10,11,79,66,49,75,78,15,37,124,86,95,92,26,30,90,50,14,53,72,67,55,35,59,9,126,81,62,39,94,85,104,60,128,106,3,69,28,125,84,13,20,34,93,4,88,91,44,96,58,109,61,80,32,36,2,41,47,77,21,63,38,99,121,18,31,1,48,16,82,114,103,7,64,19,42,12,68,111,65,83,17,107,56,102,43,76,29,112,71,5,120,73
1: 51,118,45,116,25,123,108,23,70,8,87,33,57,52,98,100,6,40,115,22,127,97,89,49,74,101,50,122,113,95,119,86,117,24,11,46,110,66,27,78,59,67,105,54,15,75,10,90,81,30,62,92,79,55,26,60,126,28,14,72,85,124,20,128,34,94,69,9,35,104,53,91,37,32,4,39,84,109,3,41,58,93,77,99,38,96,125,44,106,21,80,61,88,13,16,121,103,64,2,1,36,63,47,18,7,31,111,114,42,68,82,83,102,56,12,76,19,65,17,43,112,29,107,48,5,73,120,71
1: 51,25,116,26,57,70,115,123,24,118,74,45,27,100,40,89,113,22,101,10,52,46,8,87,11,23,98,97,108,6,55,117,49,95,122,54,60,105,127,53,78,50,119,124,75,110,94,79,81,67,85,13,33,15,86,44,72,93,92,126,30,106,34,39,37,128,62,58,32,20,104,109,14,35,9,90,69,4,125,2,66,18,59,77,41,88,96,38,3,61,28,16,84,99,83,80,47,31,43,63,111,91,65,114,56,103,121,7,36,64,71,42,82,1,112,68,5,12,120,29,21,48,19,76,107,102,17,73
1: 51,118,25,45,123,108,57,116,52,8,33,100,22,23,97,98,127,110,115,6,40,89,74,70,24,117,113,87,119,46,66,122,27,49,11,105,101,95,86,50,78,10,15,75,54,30,90,81,79,124,26,92,59,60,67,62,55,72,14,126,35,53,37,28,34,128,104,9,94,91,84,69,20,85,39,4,32,93,41,96,125,109,38,88,3,99,58,77,61,106,80,21,44,2,13,16,63,47,36,64,18,103,7,82,1,121,114,42,102,111,31,56,12,65,76,83,17,43,68,19,48,112,5,29,107,73,120,71
1: 51,118,25,23,123,116,8,108,45,100,22,57,89,97,52,127,33,115,24,40,113,27,98,10,110,119,74,70,122,54,46,87,6,117,101,95,105,79,49,66,11,78,75,92,15,124,72,86,37,26,81,60,39,55,67,53,9,14,50,126,30,13,90,35,93,94,128,85,28,62,125,104,59,84,20,69,91,44,109,96,106,4,34,41,32,18,3,88,58,77,36,99,38,61,80,47,2,21,16,63,7,64,65,31,103,82,56,111,17,112,102,42,114,121,68,1,73,83,12,43,19,29,76,107,120,5,48,71
1: 51,116,25,118,123,115,57,74,87,100,23,52,22,113,70,45,46,117,101,8,127,26,110,97,108,6,86,89,27,98,60,24,40,119,10,105,95,11,54,67,50,49,122,90,66,124,15,78,55,30,85,34,92,94,79,81,33,75,62,44,35,104,32,20,37,126,59,109,14,69,128,39,13,53,72,9,4,58,18,28,84,125,93,91,61,106,3,99,96,2,63,38,77,80,121,41,88,16,36,5,103,83,65,47,56,114,31,21,111,102,43,7,112,76,1,42,64,12,82,68,19,17,120,48,71,29,107,73
1: 51,118,25,116,57,123,45,22,8,115,23,100,52,74,108,98,46,113,40,70,127,33,6,24,89,87,97,27,54,10,101,110,79,119,105,117,78,122,49,11,15,37,92,26,75,95,86,124,53,55,67,14,66,30,94,90,39,85,106,35,50,126,9,72,125,128,3,93,60,13,81,58,62,69,44,59,34,109,104,28,61,84,88,20,91,32,4,36,96,18,2,63,38,99,47,41,77,16,80,121,21,102,114,31,65,103,1,76,83,48,7,111,42,12,56,43,64,82,5,19,17,68,112,73,29,107,120,71
1: 51,25,118,116,123,57,45,100,108,22,74,23,8,52,70,115,87,113,89,127,97,46,110,24,98,40,6,33,101,27,117,10,86,122,11,54,49,105,119,95,26,15,78,66,50,92,75,79,124,60,67,90,85,94,55,81,126,30,72,37,35,53,14,62,59,28,34,69,104,128,9,20,39,91,93,109,106,44,58,32,13,4,125,61,84,3,96,88,38,99,2,77,18,41,80,63,16,121,36,21,47,103,114,65,7,1,31,111,76,83,64,56,102,82,12,5,42,43,68,19,17,112,107,120,73,29,48,71
1: 51,116,118,25,123,45,57,100,23,22,8,74,115,52,113,108,70,101,97,87,127,46,6,89,98,40,110,33,117,105,24,26,86,119,27,95,10,11,54,66,15,78,50,122,60,49,92,30,90,124,75,79,67,55,14,85,94,72,62,20,9,59,126,81,37,34,128,35,53,104,28,69,44,32,39,3,91,4,125,106,109,58,84,61,93,13,38,96,41,99,18,2,77,88,63,36,121,16,80,47,21,56,114,31,103,111,1,65,83,102,42,64,68,7,17,12,76,112,82,43,19,5,107,48,120,73,29,71
1: 51,25,118,116,123,45,8,57,100,23,115,22,52,108,98,74,87,127,97,46,6,113,33,70,89,40,110,24,27,117,10,101,105,122,79,119,54,11,15,78,26,49,92,86,37,95,75,50,30,53,55,90,124,67,66,14,94,85,35,72,126,60,81,106,62,9,39,104,128,69,28,34,125,59,58,3,13,20,93,44,91,32,109,61,88,84,4,96,18,99,38,2,63,36,77,41,16,47,80,121,21,114,103,102,65,7,76,1,31,83,48,64,56,42,82,111,12,43,5,19,17,68,112,73,107,120,29,71
1: 51,118,25,116,57,100,70,23,22,123,117,26,45,115,46,113,101,40,86,127,110,74,11,10,6,8,97,78,87,92,89,24,98,105,54,85,14,95,90,15,60,27,66,52,50,32,108,124,49,67,75,20,30,62,119,33,55,34,94,35,9,79,122,81,3,28,18,44,104,106,61,37,58,128,126,109,72,69,59,91,38,4,125,53,39,36,84,13,99,121,80,63,83,96,93,16,65,2,77,42,41,47,21,31,88,56,111,103,1,64,114,68,43,112,102,19,76,17,7,12,120,107,5,73,71,82,48,29
1: 51,118,116,25,57,123,115,100,74,70,23,8,101,87,22,26,113,46,89,10,97,45,11,52,108,105,24,98,60,6,40,27,127,78,54,117,95,85,44,110,119,86,15,124,55,94,50,122,79,49,33,92,67,126,75,72,66,53,90,37,20,30,34,9,13,106,39,14,35,32,18,62,58,81,61,109,128,4,93,125,104,3,59,2,63,69,99,84,28,96,38,88,36,121,77,91,41,47,56,16,80,83,5,65,31,103,42,111,114,1,21,112,7,43,12,68,48,17,76,102,107,82,64,19,71,120,29,73
1: 51,118,25,116,123,57,8,115,100,74,23,70,22,101,46,87,45,113,89,6,52,108,24,97,26,98,10,40,54,11,127,105,27,78,117,110,60,95,15,55,124,122,33,50,94,79,119,75,85,92,49,86,44,72,37,67,126,53,66,90,39,30,14,13,81,106,62,35,34,9,58,20,32,128,59,61,93,125,109,104,3,18,69,4,2,84,63,38,99,28,96,88,91,77,36,47,41,121,80,16,56,42,83,31,103,114,21,111,65,7,5,1,12,43,112,48,68,102,76,82,64,17,71,19,107,29,120,73
1: 51,118,25,116,123,45,57,100,8,22,108,23,52,74,115,98,40,33,89,46,70,113,24,127,87,97,6,101,10,27,110,54,105,119,79,11,15,122,117,78,49,92,26,75,95,86,124,37,66,53,67,55,14,50,94,85,126,30,9,90,72,35,106,60,128,39,81,3,125,62,58,44,69,13,93,34,59,20,28,61,109,104,84,32,88,91,4,96,36,2,63,99,38,18,47,41,77,16,121,80,21,31,1,114,103,65,83,42,7,102,111,56,48,64,12,82,76,43,68,19,112,17,5,107,29,120,73,71
1: 51,25,118,116,123,22,52,100,57,127,97,74,8,46,70,24,108,115,45,110,23,113,10,6,33,89,66,78,87,117,119,54,40,86,60,26,95,98,90,50,15,101,105,49,122,27,11,67,124,30,85,92,81,55,62,94,79,14,37,39,72,28,35,75,34,91,20,59,69,104,53,9,125,13,93,128,126,4,109,77,44,41,3,18,99,96,38,84,32,2,58,61,106,47,88,80,63,36,64,121,21,16,103,65,83,31,56,102,7,17,111,43,42,76,114,48,82,5,12,112,1,19,68,73,29,120,107,71
1: 51,118,25,116,45,123,57,100,8,108,22,23,52,115,74,70,46,40,98,97,33,87,113,6,89,127,24,101,110,54,10,27,105,122,117,15,11,79,78,92,49,75,119,26,95,86,124,66,55,14,67,37,53,50,90,94,126,35,30,9,85,106,72,39,3,60,81,62,128,125,69,58,93,59,34,28,20,44,13,109,61,88,91,104,84,32,4,96,2,36,63,47,77,99,80,38,18,121,41,31,16,21,1,103,114,48,7,102,12,64,83,111,65,82,42,43,76,68,19,5,17,112,29,107,56,73,120,71
1: 51,118,25,123,57,116,45,22,100,108,23,8,74,46,87,127,98,113,89,6,40,101,115,70,97,52,27,110,33,24,54,117,86,119,78,15,10,105,11,124,26,122,95,49,92,79,75,90,94,50,55,37,85,60,66,67,126,72,35,14,30,9,69,39,53,34,81,44,106,62,104,59,128,3,13,20,28,58,93,109,32,61,125,84,88,96,99,91,63,18,4,2,36,38,47,77,80,16,41,31,121,114,21,65,5,12,103,56,1,48,64,42,83,7,102,68,76,82,19,111,43,112,17,107,120,29,71,73
1: 51,118,25,116,57,45,123,8,100,22,108,23,52,74,115,98,40,33,46,70,89,113,24,127,87,97,6,101,10,27,54,110,105,79,119,11,78,15,117,122,49,92,26,75,95,124,86,37,53,67,14,55,66,50,85,94,126,9,30,35,106,72,90,39,60,128,125,3,81,58,44,93,62,13,69,34,61,59,28,20,109,104,84,88,32,4,91,96,36,2,63,18,38,99,47,41,77,16,121,80,21,31,114,1,103,65,102,83,42,7,56,111,48,64,12,76,82,43,19,68,112,17,5,29,120,107,73,71
1: 51,25,116,123,118,57,8,115,26,46,74,100,45,113,87,6,70,52,22,101,10,23,24,60,50,97,11,54,117,89,55,95,105,27,108,78,98,127,124,119,110,122,94,44,53,75,72,40,85,15,67,49,37,86,30,90,39,34,62,81,14,18,126,13,79,92,58,35,109,20,32,33,128,2,106,9,66,59,4,61,125,69,93,104,38,3,77,63,84,99,96,41,91,28,88,121,47,36,83,16,5,80,56,42,7,31,82,112,111,103,65,21,12,114,43,102,64,76,29,71,1,48,17,68,19,107,120,73
1: 51,118,25,52,123,116,45,117,108,110,8,127,100,66,87,57,23,89,115,97,70,50,22,81,24,98,86,122,74,49,40,6,33,90,113,95,59,119,60,62,34,46,78,15,105,11,67,27,91,10,75,28,101,26,94,69,20,92,104,30,54,77,41,126,38,85,128,4,79,124,72,80,55,14,35,32,99,37,96,53,109,39,16,93,82,103,21,84,9,7,64,58,121,125,111,61,13,1,88,2,102,83,65,44,18,43,56,63,19,68,106,3,114,12,76,42,31,5,17,36,112,73,47,29,107,120,71,48
1: 51,116,25,118,57,115,123,8,74,23,22,100,101,87,113,70,46,45,26,97,10,89,60,11,24,98,6,52,105,27,40,117,95,127,108,54,44,119,78,110,124,94,55,86,85,15,50,79,49,122,67,75,66,92,126,37,90,72,30,39,53,34,33,20,62,81,14,18,32,13,35,128,9,125,4,104,59,58,109,61,106,93,69,2,3,63,38,99,28,96,91,84,88,41,36,77,121,47,16,56,80,83,103,111,65,114,5,42,7,31,102,21,112,43,1,12,17,68,64,82,76,107,71,48,19,120,29,73
1: 51,25,116,100,118,123,57,74,89,70,46,26,52,113,45,115,22,23,60,50,87,24,101,127,8,10,40,117,54,97,66,6,86,110,108,11,27,119,90,95,81,49,55,67,124,30,105,98,78,15,85,20,92,44,94,32,62,34,122,14,79,128,126,75,53,109,35,59,72,4,33,28,13,37,104,69,58,39,61,38,3,77,91,99,106,18,93,9,84,41,96,121,2,125,80,88,36,16,21,63,83,114,1,56,65,111,31,47,42,68,7,112,5,103,64,43,82,19,120,76,29,107,12,17,71,102,48,73
1: 51,25,115,57,116,8,6,123,118,23,22,46,70,74,45,24,27,100,89,101,11,113,87,40,54,97,10,98,94,55,44,60,52,108,124,105,13,15,78,95,53,127,26,39,37,122,79,75,110,49,92,117,119,72,33,14,90,126,128,85,50,32,81,18,125,109,104,58,30,35,67,62,86,106,20,93,9,61,63,36,3,2,69,88,38,96,59,66,84,47,77,99,28,4,34,114,71,41,91,16,83,42,111,103,5,48,12,121,31,102,17,107,21,65,7,112,56,43,82,64,68,76,80,1,19,29,120,73
1: 51,118,25,123,116,108,45,115,57,52,46,23,8,6,89,100,74,110,87,70,117,124,10,22,101,113,122,33,98,75,55,94,86,14,26,53,37,49,97,35,127,15,11,67,79,105,30,58,92,104,24,106,40,78,85,50,126,90,95,69,44,13,18,54,28,36,119,72,128,2,60,27,109,62,34,9,88,59,63,3,91,81,96,84,66,39,4,80,20,125,32,61,99,93,5,16,114,77,41,83,65,38,121,76,102,48,43,31,64,82,7,21,47,12,111,120,103,19,68,42,56,1,29,107,73,112,17,71
1: 51,118,25,45,116,123,57,8,100,108,23,22,52,115,70,98,74,33,87,40,24,113,6,89,127,46,97,117,101,110,27,11,119,54,122,105,10,15,49,86,50,95,78,26,66,75,79,92,55,60,124,67,90,81,30,94,53,85,59,126,37,72,14,62,34,128,35,39,9,20,28,104,125,44,69,58,93,106,32,91,13,84,4,38,3,109,41,61,96,88,2,77,99,63,18,80,36,47,21,16,121,103,7,1,42,83,114,82,111,64,31,65,102,56,12,68,76,43,19,17,112,48,5,107,29,71,73,120
1: 51,118,45,25,123,116,22,57,100,52,8,108,115,23,40,97,33,113,6,98,74,117,24,89,110,46,70,127,66,101,87,27,105,119,78,54,49,122,95,11,50,75,92,10,30,26,86,81,90,62,91,79,15,59,14,67,60,124,55,34,28,72,128,37,53,85,20,69,126,35,9,104,4,39,94,125,32,96,84,41,93,3,38,109,77,61,106,58,88,99,21,44,80,13,2,16,31,64,47,7,36,63,82,103,1,121,18,114,42,83,111,102,76,19,43,56,65,12,68,17,112,107,48,29,73,120,5,71
1: 51,123,118,45,57,116,6,108,97,25,8,33,22,46,52,100,40,23,101,98,122,115,105,89,74,113,70,127,87,110,24,11,27,119,117,54,10,66,95,79,26,124,75,49,86,50,15,78,55,90,37,92,72,59,81,30,67,60,62,14,9,53,128,126,39,28,94,35,85,34,104,91,84,69,20,4,93,125,106,3,32,96,109,13,58,44,61,41,88,36,38,99,21,77,63,18,64,80,31,103,16,121,7,82,12,47,1,2,102,114,111,83,76,48,65,43,29,5,68,42,19,73,56,71,112,17,120,107
1: 51,118,25,45,123,116,108,57,52,22,100,8,23,33,97,127,117,40,113,110,98,70,89,24,6,74,87,115,66,46,101,119,86,105,27,95,50,122,49,15,54,11,75,78,10,81,30,92,90,26,62,59,60,67,79,28,14,124,34,126,72,128,85,55,20,91,94,104,35,69,37,53,4,9,39,32,41,38,84,125,77,96,93,109,99,3,58,61,21,88,80,106,44,16,2,13,64,103,7,82,1,63,36,121,18,47,114,42,111,102,83,31,56,76,68,12,17,65,19,43,112,107,29,48,73,5,120,71
1: 51,25,118,116,123,57,100,23,22,74,115,45,70,113,46,52,87,8,127,97,108,101,110,6,89,40,24,117,26,105,27,98,86,11,119,95,10,49,54,78,15,33,67,60,124,122,75,85,92,50,94,66,30,90,55,79,34,126,14,37,81,104,53,62,44,72,128,35,39,69,20,59,9,28,91,109,125,58,32,18,13,61,4,3,106,84,93,63,96,2,99,88,38,16,77,36,41,121,80,47,103,114,56,65,102,21,83,31,7,5,76,111,42,1,12,43,82,64,68,17,19,112,48,107,120,71,73,29
1: 51,25,118,116,123,57,70,74,89,113,22,45,46,115,24,26,8,6,23,101,100,54,97,52,11,10,27,108,87,40,55,60,78,105,44,50,98,127,95,124,119,15,49,94,122,126,110,85,117,79,92,81,13,53,75,67,66,90,86,72,39,37,14,35,33,109,30,32,20,58,128,62,3,18,34,61,93,9,106,104,69,4,59,2,38,88,96,77,36,47,125,28,99,84,63,41,91,121,80,16,5,83,56,42,111,114,21,31,1,65,103,112,7,71,43,64,68,82,12,19,107,76,17,48,120,29,102,73
1: 51,118,25,45,57,116,22,123,8,100,52,23,98,74,108,46,40,33,115,24,89,113,127,6,97,54,70,27,79,110,87,10,117,105,78,101,122,37,119,53,92,15,11,14,124,49,26,75,95,66,86,50,39,55,9,125,30,67,106,72,126,93,90,62,94,35,3,85,81,13,60,128,59,58,69,28,34,88,91,84,61,20,109,44,4,104,32,36,47,77,99,2,96,41,21,38,80,63,121,16,18,1,103,64,82,7,102,31,114,111,42,83,43,48,65,56,17,12,76,68,112,19,107,29,73,5,120,71
1: 51,118,123,45,25,116,108,57,52,8,22,23,100,33,98,40,127,115,74,97,24,89,6,113,70,46,87,110,117,122,27,101,105,119,10,54,15,66,49,11,75,78,95,86,79,92,26,50,67,30,14,124,90,55,37,72,62,81,59,53,35,126,94,128,60,9,85,39,28,69,34,125,20,104,91,93,3,4,84,58,106,32,109,61,96,13,41,88,38,77,44,99,80,2,21,16,47,36,63,7,64,82,18,1,103,121,31,114,102,42,111,83,56,43,12,65,76,19,68,112,17,48,29,5,73,107,120,71
1: 51,118,25,45,123,116,57,8,52,22,100,108,23,74,127,115,24,89,33,98,113,40,46,97,6,110,117,70,54,122,87,66,105,10,27,78,119,101,15,79,49,50,75,86,92,90,95,26,11,30,14,124,62,37,67,81,72,126,53,55,60,9,94,59,39,85,28,128,35,34,125,91,69,93,20,3,106,4,104,58,84,109,77,32,61,88,13,96,99,44,41,38,21,2,16,36,80,47,121,63,1,103,64,82,7,18,102,83,111,114,42,43,65,19,56,68,76,31,17,12,112,73,107,29,5,48,120,71