# FILE NAME: 00054-00000874.soc
# TITLE: Football 2016-08-01
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00054-00000874.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 128
# NUMBER VOTERS: 59
# NUMBER UNIQUE ORDERS: 59
# 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: NC State
# ALTERNATIVE NAME 85: Connecticut
# 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: 51,116,22,118,70,101,25,74,123,6,57,100,24,124,8,60,46,98,78,45,26,115,89,11,27,113,23,94,40,108,37,87,10,15,95,75,44,54,97,92,53,52,55,122,79,72,84,39,33,105,67,128,50,14,117,110,18,66,127,104,90,13,49,81,126,20,58,30,2,61,119,125,47,86,63,69,34,93,3,35,77,88,109,85,62,36,32,106,4,59,9,96,28,38,99,71,41,7,42,31,121,114,102,48,103,112,5,56,91,82,76,83,64,111,17,16,43,80,21,12,1,107,65,19,120,68,29,73
1: 51,22,118,74,116,25,57,100,98,123,26,70,23,15,45,24,40,78,101,54,52,108,11,46,97,113,87,75,33,89,124,115,95,122,6,60,8,92,49,10,37,119,27,14,72,66,67,84,105,44,30,50,94,55,2,53,128,39,18,79,126,61,81,117,110,90,69,35,127,3,63,36,32,104,20,34,93,58,85,9,88,125,47,77,41,99,86,13,96,38,59,4,62,106,109,121,64,28,102,103,114,1,31,42,111,56,7,83,80,5,76,112,91,16,21,82,48,73,43,71,120,68,17,12,65,19,107,29
1: 51,25,6,123,116,118,22,70,115,45,24,57,46,113,8,89,101,27,100,23,54,74,26,98,60,40,11,55,87,97,13,78,124,52,53,39,10,44,108,95,37,117,94,15,92,127,72,110,75,105,50,81,84,90,14,122,33,32,128,66,62,79,86,126,119,49,125,104,58,18,30,67,59,109,61,35,20,93,88,9,3,106,47,77,34,38,63,69,4,99,2,28,96,36,85,42,111,71,114,121,16,7,41,91,83,21,112,31,5,102,103,80,82,29,56,43,64,48,107,76,12,17,65,68,1,120,19,73
1: 51,25,118,123,116,57,45,23,52,100,74,115,127,8,110,22,117,70,108,113,87,46,97,6,89,86,101,98,24,119,49,66,105,40,95,50,26,27,90,33,81,122,60,10,11,124,15,54,30,67,78,75,92,59,62,34,55,84,79,104,94,28,69,37,128,20,72,91,14,126,35,53,4,32,109,39,44,9,125,85,38,99,96,58,106,13,93,18,16,61,80,77,3,2,88,121,41,63,103,21,36,65,7,114,83,102,76,47,111,56,43,64,1,82,5,42,19,68,31,12,107,17,73,112,120,48,71,29
1: 51,116,118,115,25,57,123,8,70,22,87,6,23,113,46,101,26,45,52,100,74,60,98,24,54,10,97,89,27,11,55,119,78,44,127,108,117,105,95,124,79,94,86,110,40,84,72,15,122,13,126,53,49,90,75,50,67,37,30,39,92,32,14,35,81,62,20,66,18,109,128,33,34,58,104,93,61,59,106,9,69,2,38,88,3,4,125,99,63,96,28,77,36,85,47,91,16,121,41,56,80,31,83,114,111,7,5,42,65,12,103,21,112,71,1,43,68,64,76,48,17,102,82,107,120,29,19,73
1: 51,118,70,116,25,100,22,45,123,52,108,98,8,57,115,23,74,24,87,40,11,26,97,66,122,89,6,46,78,75,30,54,101,33,127,60,50,81,117,79,27,59,124,92,110,37,95,113,15,94,49,10,105,72,93,119,34,62,55,53,90,4,28,91,86,128,9,20,67,14,84,104,69,2,44,38,125,126,32,41,39,35,96,99,85,77,13,58,106,109,3,88,63,36,18,47,61,7,111,121,82,21,80,83,64,76,56,1,103,16,42,31,102,17,19,114,68,107,112,65,12,71,43,48,73,5,120,29
1: 51,118,116,22,25,100,70,74,123,57,23,45,24,115,101,52,108,26,98,8,6,78,46,87,40,11,97,113,54,124,27,89,75,10,15,60,122,92,33,37,50,95,94,105,67,127,79,55,72,44,49,84,110,53,39,30,117,66,119,14,126,13,35,20,128,18,93,81,90,2,125,86,9,34,61,3,63,104,58,69,32,106,62,59,88,4,85,47,109,36,121,96,28,77,99,38,41,80,91,111,103,16,31,56,114,83,7,102,64,112,71,48,42,1,21,5,76,17,12,82,43,19,65,68,120,73,29,107
1: 51,116,118,123,25,57,8,115,46,26,52,74,100,70,87,113,22,23,45,60,10,117,6,98,54,89,50,101,97,110,108,105,67,55,24,127,94,11,95,78,124,122,37,27,49,90,53,30,86,84,15,34,40,75,119,14,79,44,35,106,58,72,126,18,33,92,13,39,9,62,20,109,81,2,59,61,66,4,63,93,32,128,41,69,3,85,125,96,28,91,99,77,104,38,36,80,88,121,47,5,83,56,16,65,112,42,48,31,76,114,12,21,1,111,64,102,82,43,120,7,103,71,19,29,68,107,17,73
1: 25,51,57,74,46,123,115,118,116,52,117,100,50,8,23,22,87,105,26,6,10,55,60,45,110,30,97,70,49,113,101,67,54,122,124,11,90,94,24,98,89,37,95,108,34,15,27,127,78,72,86,66,53,35,75,92,2,28,4,84,106,79,44,33,62,13,58,9,80,14,126,119,96,59,41,39,81,38,125,77,91,32,99,85,128,63,20,109,104,93,121,40,18,36,69,61,3,83,65,31,47,114,42,88,76,102,5,16,12,82,19,64,103,56,112,120,1,48,7,29,107,21,111,68,73,71,17,43
1: 118,116,51,74,26,57,22,25,70,46,123,115,8,52,100,60,87,98,101,10,78,45,108,6,24,11,97,113,89,15,95,122,117,50,23,124,54,94,75,72,14,55,30,119,67,27,81,110,34,90,92,49,44,105,66,33,84,35,2,126,86,37,79,39,20,127,61,58,128,53,40,77,18,59,13,85,41,9,69,63,38,62,4,32,99,106,96,104,36,93,88,121,80,28,3,109,125,91,83,5,64,112,102,114,56,47,76,16,111,1,103,31,120,12,82,42,7,48,65,29,43,21,17,71,107,68,73,19
1: 51,116,118,25,123,57,115,8,46,100,74,26,22,113,6,70,45,23,52,101,87,97,89,54,10,60,11,98,24,108,27,105,117,55,78,124,40,94,127,122,95,50,110,15,84,53,67,37,119,44,79,49,86,75,13,126,39,72,34,30,90,92,33,14,18,58,35,81,109,66,106,20,62,32,61,9,128,2,93,3,4,125,59,69,104,63,96,85,77,36,41,38,28,99,88,91,47,80,121,5,56,42,112,114,16,83,65,111,31,21,43,12,103,48,64,1,7,76,71,82,102,68,120,17,107,29,19,73
1: 51,118,22,116,25,100,70,45,123,23,57,74,108,24,101,52,8,98,26,11,6,40,87,115,78,75,97,89,27,46,33,60,122,113,127,54,117,15,50,95,124,66,110,126,119,72,81,105,86,67,35,104,10,92,79,90,30,62,49,14,59,55,84,34,94,28,37,53,128,9,91,20,69,39,4,32,93,125,85,3,96,41,38,58,109,77,88,106,99,61,44,13,80,21,2,16,36,47,64,63,103,82,7,1,121,18,114,31,111,42,102,83,65,68,12,19,56,43,76,17,112,48,107,29,5,73,120,71
1: 51,118,116,25,123,57,22,70,100,74,45,8,115,23,52,46,101,87,6,24,98,108,113,89,26,97,11,78,40,27,54,10,60,95,127,117,122,124,15,110,50,33,75,105,94,55,119,92,49,37,67,84,79,66,86,72,30,53,90,126,44,14,81,39,128,35,20,34,104,13,62,59,58,9,69,18,32,125,93,61,4,106,109,28,2,3,85,77,63,96,38,88,99,91,41,36,47,121,80,16,83,114,7,111,103,31,42,56,21,64,102,5,112,82,1,76,65,12,48,71,43,68,17,19,107,120,29,73
1: 51,70,22,116,74,89,45,123,33,95,98,25,118,87,15,78,100,46,52,101,57,108,8,26,97,117,66,50,122,113,23,11,119,24,6,54,84,30,27,110,81,92,67,72,86,60,94,127,75,105,69,124,104,37,10,126,40,2,79,115,99,77,80,85,125,20,55,128,34,35,49,90,93,41,64,62,53,7,96,28,32,61,102,4,91,63,39,18,88,16,44,36,83,76,14,103,121,38,112,109,9,1,19,114,111,82,58,59,5,3,31,106,120,73,47,42,56,17,13,21,71,12,43,48,65,29,107,68
1: 51,118,70,116,25,74,22,100,123,57,23,115,8,101,45,24,78,11,108,52,26,6,98,87,40,75,46,54,122,27,124,97,60,89,37,15,50,67,94,113,10,33,92,55,95,44,53,79,72,105,49,128,126,84,30,14,117,35,39,2,20,13,93,58,125,18,66,127,59,104,34,63,4,106,9,90,3,110,81,119,69,61,85,77,99,32,96,28,86,88,47,38,36,62,91,109,41,83,121,111,56,82,112,7,103,5,42,64,80,48,31,16,71,102,114,19,21,12,1,76,17,120,73,43,68,65,29,107
1: 51,118,70,116,22,25,74,123,100,57,23,115,8,101,45,11,78,108,24,6,52,87,75,40,98,54,46,27,124,122,26,37,97,60,89,15,50,94,67,113,10,33,55,92,95,53,44,72,105,84,128,79,49,117,30,126,14,35,2,39,20,18,58,125,13,93,66,59,104,127,63,34,81,119,110,4,90,106,9,3,69,85,61,77,99,28,32,96,86,88,47,36,38,62,91,109,41,111,83,121,56,82,112,5,7,42,103,48,64,31,80,102,16,19,71,114,1,21,76,12,120,17,73,43,68,65,29,107
1: 51,25,118,45,123,52,116,108,57,117,89,8,22,23,127,33,100,70,97,110,87,66,98,24,115,40,113,50,86,95,74,6,122,81,46,119,101,105,27,49,11,15,90,62,75,60,59,10,54,78,92,30,126,67,91,34,26,79,72,28,84,104,94,128,124,20,55,37,4,14,69,9,53,35,32,96,38,77,41,80,85,93,39,99,109,21,64,125,88,61,7,58,103,16,2,106,13,121,82,44,111,3,1,102,31,76,19,63,68,83,47,42,114,12,36,18,43,65,56,17,112,107,5,73,29,48,120,71
1: 51,118,25,45,123,116,70,115,52,89,8,6,57,24,23,127,22,108,117,81,98,60,110,97,113,11,78,100,87,66,50,101,95,27,40,86,54,74,104,90,126,33,26,72,119,55,75,59,124,46,39,128,62,94,10,15,53,92,122,49,32,38,28,14,20,105,79,109,4,84,30,37,69,44,13,91,67,77,7,34,35,111,88,9,99,16,41,125,3,18,42,61,21,93,114,64,96,71,58,85,82,47,121,2,68,103,106,43,63,83,80,12,56,29,1,112,102,36,107,31,65,17,5,19,76,48,73,120
1: 51,25,8,118,123,57,116,46,6,52,115,74,113,70,45,100,22,122,117,105,50,23,26,108,89,127,97,98,87,24,10,101,54,75,78,55,40,60,124,37,110,94,33,86,30,11,53,62,126,67,79,90,95,27,15,58,72,119,49,35,84,92,14,34,20,59,39,9,44,77,13,106,66,3,81,2,128,28,91,41,4,96,38,109,69,125,61,18,32,99,104,93,63,85,80,88,36,83,121,47,112,31,76,42,64,82,5,21,16,65,12,56,102,48,103,7,1,114,43,29,111,19,107,71,68,17,120,73
1: 51,118,116,70,100,25,123,22,23,115,57,74,45,8,52,108,98,24,87,27,89,6,26,46,101,40,97,122,113,11,95,75,110,10,72,54,15,78,60,49,92,127,33,94,119,124,117,37,55,79,50,105,67,128,90,53,84,126,104,39,86,13,30,14,44,81,125,66,28,59,35,106,20,32,93,62,58,85,99,18,61,42,77,34,69,38,63,4,96,2,88,114,3,109,9,80,36,91,112,41,7,121,16,47,31,83,111,82,21,71,5,103,64,12,102,76,17,56,65,43,48,107,1,68,29,19,120,73
1: 118,51,25,116,74,100,40,70,52,45,33,22,23,24,57,110,89,97,123,113,95,50,127,46,87,84,78,8,108,115,117,60,27,66,119,49,94,10,126,15,92,86,98,30,67,54,101,90,18,81,11,14,26,124,105,20,39,75,28,128,32,6,61,125,59,37,104,9,79,69,13,122,63,35,99,109,85,38,58,55,72,41,91,44,53,93,3,77,4,62,96,34,121,88,21,106,112,114,83,1,80,36,103,16,47,56,102,2,64,111,31,7,42,76,5,68,120,17,19,12,65,48,71,82,107,43,29,73
1: 51,116,118,25,115,57,123,87,74,23,100,70,22,113,26,52,101,8,46,45,10,127,97,98,108,27,6,89,105,60,119,40,24,117,11,86,110,54,78,15,95,67,84,122,55,94,124,49,79,44,50,30,92,126,66,75,33,90,37,35,13,34,109,58,20,39,18,32,53,14,128,61,9,81,69,72,125,104,106,62,93,63,4,85,3,59,2,96,28,91,99,38,36,88,121,77,41,16,47,80,5,31,65,56,83,114,103,112,21,111,42,1,102,12,43,76,7,120,48,64,17,71,68,82,19,29,107,73
1: 116,22,51,70,118,74,25,101,100,98,57,6,78,46,24,40,60,123,54,10,26,108,23,87,115,8,11,15,27,75,113,97,124,44,45,89,37,72,79,92,52,95,84,94,122,53,55,39,18,128,13,33,67,50,105,58,66,20,30,90,127,81,104,14,93,35,2,49,63,117,32,125,69,119,106,85,126,36,9,3,61,110,88,96,86,62,59,109,4,77,99,34,121,38,47,28,5,31,41,111,91,103,102,7,42,71,16,48,56,114,83,112,64,76,21,65,1,17,82,12,80,43,19,120,68,107,73,29
1: 51,25,118,116,123,57,8,115,45,22,23,100,74,6,46,70,24,113,101,87,89,108,97,98,27,11,52,54,40,10,127,105,26,78,119,33,117,124,55,95,122,79,60,75,15,110,92,37,86,44,94,72,84,53,49,39,66,50,14,126,62,30,90,81,128,35,104,13,20,59,67,58,9,93,32,34,3,125,69,106,109,18,28,4,2,88,61,38,91,36,99,85,63,77,47,96,41,16,121,103,7,21,80,114,83,111,65,56,102,42,43,5,68,31,1,12,82,64,17,76,48,112,71,107,19,73,29,120
1: 51,116,118,25,123,115,87,8,52,57,100,45,22,70,23,74,98,117,110,108,127,89,40,97,113,24,10,46,86,60,101,122,11,6,50,26,119,49,95,67,27,33,105,66,81,78,84,126,15,54,94,124,79,90,92,55,75,34,62,14,30,37,104,53,35,72,128,20,109,69,4,59,28,13,58,44,93,39,125,9,91,32,96,85,106,18,61,63,2,38,77,41,99,80,3,88,121,16,103,5,36,83,65,114,31,64,56,102,47,111,21,1,112,82,43,7,12,76,120,42,48,17,19,68,29,71,107,73
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1: 116,74,57,118,26,70,22,51,87,101,115,98,108,100,123,78,46,11,113,95,15,23,122,45,84,10,25,8,67,66,60,119,75,117,124,27,33,44,52,86,24,94,89,61,6,49,30,50,79,69,126,20,90,37,34,105,110,40,53,97,58,63,18,54,2,104,92,14,35,72,128,85,55,9,125,59,4,36,81,106,3,127,32,39,41,99,88,96,109,13,121,93,28,47,56,77,62,38,31,80,5,102,112,103,114,91,16,83,64,76,1,7,48,111,120,82,12,19,71,17,21,43,42,73,65,68,107,29
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1: 51,116,25,22,118,123,57,8,70,11,74,26,115,100,101,23,108,27,98,46,54,6,45,40,24,78,87,124,97,60,89,113,75,52,37,15,92,94,84,55,122,10,44,72,79,33,126,95,93,30,39,53,105,18,35,127,14,67,58,20,125,50,110,49,13,4,128,119,9,3,86,117,2,32,66,61,106,47,81,104,59,34,63,77,109,28,85,38,36,90,88,5,96,99,62,69,91,48,71,42,41,7,111,121,56,83,80,16,31,65,82,114,21,112,1,17,12,43,76,103,64,19,102,120,68,29,107,73
1: 51,118,22,100,116,70,74,123,52,24,108,78,46,57,25,54,26,45,101,87,8,40,98,11,97,67,15,115,27,110,92,60,49,75,37,10,122,66,33,89,94,30,95,23,124,6,50,104,53,117,90,128,35,113,77,69,72,96,86,55,39,59,119,34,2,127,79,81,88,85,20,28,106,4,32,18,9,105,99,84,64,62,14,3,109,125,102,48,91,80,58,36,41,126,12,63,56,83,112,16,93,44,31,38,121,13,103,82,5,71,21,73,114,111,61,47,17,1,7,43,42,65,76,120,19,68,29,107
1: 51,25,118,116,123,45,100,57,108,22,23,8,74,33,70,46,97,115,89,52,87,113,40,98,6,127,24,101,27,110,10,54,105,122,11,117,15,78,119,86,92,26,79,75,49,124,95,50,66,55,14,90,37,84,94,30,53,67,126,35,72,9,60,81,62,106,59,39,3,69,128,34,20,44,28,58,104,13,93,125,109,32,61,88,4,91,85,96,36,2,63,99,77,47,38,41,18,80,121,16,21,31,1,114,103,48,7,65,83,42,56,64,82,12,111,68,102,76,43,19,17,5,112,107,29,120,71,73
1: 51,25,116,123,118,57,8,115,26,46,74,113,87,6,70,100,45,52,22,10,23,101,60,24,50,97,11,54,117,89,55,95,105,108,78,98,27,127,124,110,119,122,94,44,72,40,53,75,84,15,67,49,37,39,86,90,30,34,62,81,18,126,14,13,79,92,58,20,109,35,128,2,106,33,32,66,59,9,4,69,61,125,93,38,104,77,63,3,85,41,99,96,91,28,88,47,36,121,83,16,5,80,56,7,42,111,31,82,112,114,103,65,21,12,43,64,102,71,76,29,1,48,17,68,19,120,107,73
1: 51,118,116,70,22,25,74,123,23,100,57,26,115,24,6,78,87,98,8,101,11,45,27,108,124,89,113,10,40,54,52,46,95,94,75,97,15,60,37,44,122,72,79,90,127,53,39,55,50,92,125,126,13,18,67,128,84,66,33,61,105,119,104,110,117,49,81,14,106,63,32,58,35,3,30,20,86,109,85,88,47,69,99,2,9,4,96,36,34,93,59,121,77,62,38,31,5,41,102,71,28,114,112,111,83,42,91,80,7,16,56,17,64,103,12,48,82,21,76,1,107,29,120,43,68,65,19,73
1: 51,118,25,116,22,123,57,100,45,70,8,74,23,108,115,52,24,46,98,6,101,26,40,11,89,87,97,113,54,27,78,127,33,122,75,124,15,60,117,10,110,105,66,92,79,95,50,37,30,119,55,72,94,49,86,81,126,84,53,14,67,90,35,93,39,59,62,44,9,128,34,20,125,104,28,4,58,13,3,91,69,106,32,2,85,18,61,109,88,38,77,96,99,41,47,36,63,80,21,121,16,7,111,83,82,42,1,103,114,64,56,31,65,102,5,48,76,43,19,68,12,17,71,112,107,73,29,120
1: 51,118,25,45,123,116,57,8,52,22,100,108,23,74,127,115,24,89,33,98,113,40,46,97,6,110,117,70,54,122,87,66,105,10,27,78,119,101,15,79,49,50,75,86,92,90,95,26,11,30,14,124,62,37,67,81,72,126,53,55,60,9,94,59,39,84,28,128,35,34,125,91,69,93,20,3,106,4,104,58,85,109,77,32,61,88,13,96,99,44,41,38,21,2,16,36,80,47,121,63,1,103,64,82,7,18,102,83,111,114,42,43,65,19,56,68,76,31,17,12,112,73,107,29,5,48,120,71