# FILE NAME: 00054-00000828.soc
# TITLE: Football 2013-09-23
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00054-00000828.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 122
# NUMBER VOTERS: 68
# NUMBER UNIQUE ORDERS: 68
# 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: South Alabama
# ALTERNATIVE NAME 21: Air Force
# ALTERNATIVE NAME 22: LSU
# ALTERNATIVE NAME 23: Georgia
# ALTERNATIVE NAME 24: Ohio St
# ALTERNATIVE NAME 25: Texas A&M
# ALTERNATIVE NAME 26: Washington
# ALTERNATIVE NAME 27: Ohio
# ALTERNATIVE NAME 28: North Texas
# ALTERNATIVE NAME 29: W Michigan
# ALTERNATIVE NAME 30: SMU
# ALTERNATIVE NAME 31: Utah St
# ALTERNATIVE NAME 32: Indiana
# ALTERNATIVE NAME 33: Purdue
# ALTERNATIVE NAME 34: Southern Miss
# ALTERNATIVE NAME 35: Texas
# ALTERNATIVE NAME 36: Colorado St
# ALTERNATIVE NAME 37: Missouri
# ALTERNATIVE NAME 38: Florida
# ALTERNATIVE NAME 39: New Mexico
# ALTERNATIVE NAME 40: Fresno St
# ALTERNATIVE NAME 41: UT San Antonio
# ALTERNATIVE NAME 42: Georgia Tech
# ALTERNATIVE NAME 43: Michigan St
# ALTERNATIVE NAME 44: Arkansas
# ALTERNATIVE NAME 45: Oregon St
# ALTERNATIVE NAME 46: Kansas
# ALTERNATIVE NAME 47: Temple
# ALTERNATIVE NAME 48: San Diego St
# ALTERNATIVE NAME 49: Alabama
# ALTERNATIVE NAME 50: Houston
# ALTERNATIVE NAME 51: Kansas St
# ALTERNATIVE NAME 52: Arizona St
# ALTERNATIVE NAME 53: Auburn
# ALTERNATIVE NAME 54: UNLV
# ALTERNATIVE NAME 55: Mississippi
# ALTERNATIVE NAME 56: Virginia
# ALTERNATIVE NAME 57: Arkansas St
# ALTERNATIVE NAME 58: Boise St
# ALTERNATIVE NAME 59: Syracuse
# ALTERNATIVE NAME 60: Louisiana Tech
# ALTERNATIVE NAME 61: Wake Forest
# ALTERNATIVE NAME 62: Massachusetts
# ALTERNATIVE NAME 63: Texas St
# ALTERNATIVE NAME 64: South Florida
# ALTERNATIVE NAME 65: C Michigan
# ALTERNATIVE NAME 66: Florida St
# ALTERNATIVE NAME 67: UCF
# ALTERNATIVE NAME 68: Arizona
# ALTERNATIVE NAME 69: Tennessee
# ALTERNATIVE NAME 70: Miami FL
# ALTERNATIVE NAME 71: Miami OH
# ALTERNATIVE NAME 72: Nevada
# ALTERNATIVE NAME 73: Louisville
# ALTERNATIVE NAME 74: Texas Tech
# ALTERNATIVE NAME 75: Marshall
# ALTERNATIVE NAME 76: UTEP
# ALTERNATIVE NAME 77: FL Atlantic
# ALTERNATIVE NAME 78: NC State
# ALTERNATIVE NAME 79: Connecticut
# ALTERNATIVE NAME 80: Bowling Green
# ALTERNATIVE NAME 81: North Carolina
# ALTERNATIVE NAME 82: Rutgers
# ALTERNATIVE NAME 83: Wisconsin
# ALTERNATIVE NAME 84: Akron
# ALTERNATIVE NAME 85: Penn St
# ALTERNATIVE NAME 86: Kentucky
# ALTERNATIVE NAME 87: Virginia Tech
# ALTERNATIVE NAME 88: BYU
# ALTERNATIVE NAME 89: Tulsa
# ALTERNATIVE NAME 90: Utah
# ALTERNATIVE NAME 91: Oklahoma St
# ALTERNATIVE NAME 92: San Jose St
# ALTERNATIVE NAME 93: UAB
# ALTERNATIVE NAME 94: Michigan
# ALTERNATIVE NAME 95: USC
# ALTERNATIVE NAME 96: Kent
# ALTERNATIVE NAME 97: Florida Intl
# ALTERNATIVE NAME 98: N Illinois
# ALTERNATIVE NAME 99: California
# ALTERNATIVE NAME 100: Iowa St
# ALTERNATIVE NAME 101: ULM
# ALTERNATIVE NAME 102: Iowa
# ALTERNATIVE NAME 103: East Carolina
# ALTERNATIVE NAME 104: Toledo
# ALTERNATIVE NAME 105: Louisiana
# ALTERNATIVE NAME 106: Wyoming
# ALTERNATIVE NAME 107: Mississippi St
# ALTERNATIVE NAME 108: Ball St
# ALTERNATIVE NAME 109: Baylor
# ALTERNATIVE NAME 110: Oklahoma
# ALTERNATIVE NAME 111: WKU
# ALTERNATIVE NAME 112: Clemson
# ALTERNATIVE NAME 113: Memphis
# ALTERNATIVE NAME 114: E Michigan
# ALTERNATIVE NAME 115: Troy
# ALTERNATIVE NAME 116: Washington St
# ALTERNATIVE NAME 117: Stanford
# ALTERNATIVE NAME 118: Nebraska
# ALTERNATIVE NAME 119: Vanderbilt
# ALTERNATIVE NAME 120: Duke
# ALTERNATIVE NAME 121: Navy
# ALTERNATIVE NAME 122: Cincinnati
1: 55,66,24,109,49,112,110,6,25,23,87,13,91,117,73,67,70,52,83,43,22,68,85,94,98,78,119,80,59,31,27,38,122,88,89,90,92,95,42,74,14,82,108,50,15,57,3,105,75,69,115,7,44,40,37,51,10,11,53,45,26,9,35,104,120,106,103,48,8,101,58,121,72,32,81,118,111,30,28,113,107,102,56,18,96,4,77,116,16,33,12,60,29,86,2,41,46,36,20,93,61,63,5,39,54,65,84,99,79,100,21,71,114,47,64,76,1,19,17,62,34,97
1: 49,6,91,66,22,55,110,117,25,23,24,26,13,112,109,11,73,42,37,38,74,68,52,83,70,94,95,67,87,85,45,53,90,40,43,119,35,81,3,8,118,88,107,31,50,116,58,82,80,51,69,14,98,108,9,121,102,122,44,15,56,32,59,104,18,103,106,78,101,27,75,7,120,89,72,41,10,28,92,61,4,30,2,105,99,48,16,111,86,36,46,20,113,57,33,63,93,96,79,100,12,115,77,47,84,54,5,29,60,17,21,39,65,64,114,34,76,62,71,97,1,19
1: 49,6,22,91,117,24,110,26,23,66,73,112,13,38,74,94,70,42,37,55,11,95,109,68,25,87,53,85,67,83,52,107,90,3,116,14,80,31,40,43,45,118,82,122,35,8,50,119,81,103,121,88,59,44,32,69,58,102,15,108,98,75,27,4,106,28,9,56,120,51,104,7,92,57,105,89,61,18,101,41,78,10,63,30,111,115,113,99,86,93,72,100,2,16,46,20,54,36,96,77,33,12,48,79,84,39,5,17,114,21,76,65,47,60,71,64,29,34,97,1,19,62
1: 22,74,49,40,3,112,94,24,73,66,117,55,98,110,91,37,11,26,53,42,25,67,6,14,90,45,109,70,121,68,50,43,2,87,118,13,95,23,85,44,52,102,82,38,83,116,80,27,15,122,9,78,56,18,106,103,4,63,108,10,104,101,72,16,41,51,35,58,46,30,69,20,31,107,59,32,8,99,119,81,105,88,7,120,54,12,28,89,115,92,93,57,111,75,33,36,96,61,86,84,100,39,113,21,65,48,114,79,77,76,47,17,5,64,34,71,62,97,60,29,19,1
1: 25,6,109,66,24,91,22,49,112,74,23,73,110,11,13,83,42,90,40,52,118,117,94,68,51,3,45,70,37,58,55,26,31,43,59,8,98,35,102,107,38,14,122,81,67,85,95,9,50,119,88,78,82,69,44,10,32,15,53,87,75,121,104,106,105,92,72,33,120,99,103,56,30,108,89,116,100,115,48,18,57,80,27,60,21,47,86,111,36,93,41,96,101,2,61,79,7,76,46,63,28,64,17,20,39,29,16,84,4,5,77,65,113,12,54,114,34,62,71,19,97,1
1: 6,109,66,49,91,11,26,37,23,42,22,3,68,117,25,55,112,73,24,83,67,74,121,13,106,38,70,95,53,43,69,90,31,116,32,9,14,85,52,107,81,8,110,51,15,88,87,2,59,27,82,104,56,80,119,118,45,44,102,120,94,41,122,98,40,108,78,103,50,35,28,86,72,75,58,113,7,18,79,4,99,100,36,84,105,10,93,92,46,39,30,111,48,101,33,77,89,20,115,63,61,54,16,12,47,96,76,1,60,57,17,65,62,34,21,5,71,97,29,114,19,64
1: 49,117,22,112,6,110,24,23,13,73,94,25,66,98,109,67,74,85,91,11,70,38,45,90,26,52,53,43,55,35,118,56,51,14,42,96,88,92,68,8,40,58,95,59,31,78,107,87,83,37,89,82,81,69,80,9,122,3,119,44,10,104,57,27,101,105,108,4,102,50,15,100,30,120,7,103,33,48,72,116,99,46,121,60,32,28,18,75,61,106,86,113,21,16,41,115,20,12,111,71,54,47,63,65,93,79,39,76,114,2,36,34,77,17,5,64,84,19,1,97,29,62
1: 49,6,23,25,22,24,109,112,13,38,117,91,73,66,11,110,40,55,8,83,94,52,98,26,53,118,70,51,95,43,88,45,74,82,67,35,68,85,42,87,119,122,107,58,15,37,31,69,48,102,44,59,14,78,90,81,3,92,30,106,32,116,80,108,100,7,28,75,105,121,99,9,89,103,86,79,56,104,120,111,50,101,41,57,10,33,27,72,4,18,16,63,76,34,96,115,39,54,113,61,36,20,46,2,77,21,64,12,93,29,5,60,65,84,47,17,114,97,1,71,19,62
1: 6,109,66,49,25,91,23,24,117,22,83,73,11,110,13,42,52,85,112,90,31,26,3,38,74,95,118,107,37,88,67,59,70,55,68,102,43,94,81,51,35,45,8,116,53,40,58,87,119,78,15,80,32,9,69,122,121,106,105,14,82,44,120,98,108,30,103,50,104,92,100,75,7,56,79,86,36,113,72,28,89,27,10,99,48,33,84,2,4,18,96,57,41,46,61,39,60,47,111,63,77,17,16,54,93,20,12,5,101,76,115,64,21,62,65,34,71,114,29,1,19,97
1: 6,11,73,26,66,22,83,49,91,118,25,109,67,70,3,38,74,85,23,68,116,37,107,53,9,42,121,110,112,117,52,95,2,8,94,32,59,90,88,69,24,106,31,13,87,75,14,86,15,122,120,44,43,108,41,80,78,56,55,50,82,35,58,81,27,28,40,113,103,102,79,98,7,63,104,51,36,93,111,105,45,84,119,72,20,30,10,39,76,18,33,57,47,92,54,99,4,46,96,34,61,115,89,77,12,101,100,60,48,71,16,5,1,21,114,17,19,64,97,29,65,62
1: 66,49,109,25,23,6,91,22,112,117,26,110,68,13,24,42,74,3,37,94,67,73,87,53,52,55,40,38,11,85,58,15,81,2,83,70,95,90,78,119,98,121,45,9,118,51,116,89,8,59,80,103,107,14,41,108,82,50,7,44,32,27,120,36,4,104,31,56,16,105,30,113,18,10,72,57,43,96,122,69,92,28,88,106,101,93,33,75,35,54,99,79,115,12,102,20,46,61,39,65,84,48,63,60,47,86,17,111,77,100,97,114,21,62,76,5,29,1,34,71,64,19
1: 6,49,109,25,66,23,83,55,91,117,22,26,13,112,42,11,85,52,110,24,70,67,31,68,73,74,95,88,38,90,37,119,59,35,51,53,107,3,81,43,116,14,45,8,69,118,58,80,94,40,78,56,9,121,102,15,87,32,7,106,108,92,104,72,122,113,82,44,50,75,105,36,103,98,30,120,41,10,28,96,27,18,4,33,89,86,2,100,48,101,61,99,63,57,93,84,77,16,54,79,46,17,111,115,20,12,60,29,47,76,5,39,65,34,62,21,64,71,114,1,97,19
1: 6,49,91,109,25,66,117,23,110,112,24,22,83,55,52,13,73,26,11,42,70,35,94,67,37,45,43,38,31,95,68,90,85,119,74,51,81,88,14,118,40,59,87,3,98,80,107,58,15,8,82,122,92,116,108,102,50,44,56,69,10,53,18,27,106,103,78,48,7,57,89,30,121,105,32,104,72,100,75,9,28,120,96,4,33,79,101,61,41,113,86,111,115,63,16,99,36,2,60,54,93,20,84,46,64,17,47,77,5,65,114,12,39,71,76,29,21,97,34,62,19,1
1: 6,49,66,25,117,91,22,112,23,109,110,73,13,70,38,42,67,85,53,116,95,52,83,24,94,11,74,37,26,55,45,90,31,15,56,88,8,35,51,3,107,43,68,40,58,118,98,102,59,119,87,81,69,82,78,9,122,44,121,106,100,32,80,27,28,108,14,104,50,30,105,92,10,120,48,89,7,99,79,103,72,75,33,20,111,86,47,41,18,4,113,2,36,101,46,12,61,60,96,57,84,77,64,16,21,115,39,17,63,93,76,5,54,29,34,65,114,71,62,97,1,19
1: 49,6,66,22,112,91,23,117,109,25,110,11,73,24,26,13,42,38,55,68,70,37,74,94,67,52,83,85,95,53,3,118,90,87,40,45,98,31,116,107,121,43,8,14,81,15,88,58,35,82,122,119,51,59,69,80,44,9,78,50,102,32,56,104,108,106,27,103,120,2,75,10,92,7,89,41,28,18,105,72,4,30,99,101,57,100,86,113,63,48,36,96,79,46,111,61,33,16,20,115,93,54,60,39,12,47,84,77,76,21,17,65,5,64,34,114,29,97,1,71,62,19
1: 6,117,110,109,24,22,91,49,73,42,66,112,26,70,11,68,74,55,23,94,13,25,37,67,38,40,52,83,14,85,80,45,43,87,95,121,50,35,98,122,118,82,31,90,88,103,108,3,15,27,107,119,8,102,53,81,51,92,4,58,89,105,59,106,116,56,75,104,44,78,101,32,69,120,7,28,2,48,41,113,61,57,63,9,72,18,10,30,20,111,96,100,86,16,93,36,33,54,12,115,65,99,79,39,47,77,46,5,76,17,71,84,21,60,114,64,29,34,62,19,1,97
1: 49,6,22,110,112,66,25,117,91,70,23,11,109,94,73,26,52,24,67,55,53,13,37,38,74,68,118,83,40,98,14,42,87,56,104,116,85,121,43,15,8,9,3,45,78,69,81,82,119,95,27,90,107,58,88,35,32,120,10,4,92,59,44,122,101,50,28,51,31,30,102,80,41,18,2,72,113,75,105,103,57,54,100,20,33,7,106,108,16,96,61,89,115,39,63,111,65,77,36,46,99,12,21,114,48,84,93,79,17,86,5,76,47,60,97,1,64,71,34,19,62,29
1: 6,49,66,91,22,112,109,11,73,23,117,25,26,68,37,67,38,52,83,13,110,74,24,90,121,42,87,3,70,55,53,116,95,31,107,118,94,85,81,8,32,58,80,88,98,9,122,51,45,69,15,40,75,106,102,43,59,14,104,120,35,108,82,2,44,78,50,119,7,41,105,27,28,103,56,86,18,113,10,100,36,92,72,111,79,4,93,30,63,89,16,46,84,20,101,99,33,57,61,39,47,77,96,12,48,60,115,54,17,76,21,5,1,34,71,62,65,64,114,29,97,19
1: 22,53,49,94,73,112,11,91,23,40,110,67,66,68,42,70,26,55,37,6,117,27,74,45,116,3,109,14,98,87,85,50,121,15,82,38,118,24,90,20,95,25,13,9,56,41,52,44,32,2,4,102,43,122,80,78,83,81,103,63,106,28,120,101,18,58,69,59,107,10,88,54,35,7,72,104,108,8,75,16,99,51,92,46,119,30,39,100,89,79,111,31,12,113,61,47,48,97,57,86,105,36,96,93,77,84,34,76,115,114,33,65,29,17,64,5,21,60,1,71,62,19
1: 49,22,110,24,117,6,66,112,73,94,13,91,38,11,23,109,40,45,25,98,95,122,67,74,118,51,85,26,70,42,58,55,35,68,83,37,88,80,87,108,82,52,43,90,121,27,31,57,3,50,89,14,53,78,107,44,60,81,8,119,104,103,102,105,10,92,4,15,111,116,100,75,56,48,61,59,106,32,115,69,9,101,120,46,72,86,64,2,79,96,20,18,63,30,12,47,76,21,7,41,28,39,65,93,99,54,16,34,33,71,113,29,36,17,5,77,97,1,114,84,19,62
1: 6,49,109,25,117,66,23,110,112,22,55,13,24,94,91,83,11,42,73,52,85,43,67,68,74,38,59,51,70,95,118,35,81,37,3,26,31,119,58,45,90,78,122,40,88,98,80,8,107,10,87,53,92,82,15,116,104,102,106,89,69,44,14,50,108,56,30,57,7,121,72,48,105,120,9,103,99,96,18,41,75,27,33,28,4,79,32,2,113,46,60,101,61,16,100,115,86,36,93,63,111,47,54,21,20,17,39,77,65,64,12,84,76,5,29,114,62,71,97,34,1,19
1: 49,24,6,117,112,73,22,23,66,25,13,11,91,110,94,70,38,109,55,43,118,52,83,40,74,67,8,87,98,95,68,35,85,58,14,45,26,90,107,82,51,31,42,88,3,27,122,37,57,53,69,89,92,105,80,108,10,81,78,101,119,9,103,104,15,59,102,72,116,50,121,100,60,96,48,44,111,33,7,106,120,75,99,79,56,41,4,61,115,21,2,65,30,32,28,63,36,54,16,47,18,39,20,113,77,76,93,46,12,84,64,71,17,29,86,5,114,97,1,19,34,62
1: 6,49,66,109,22,23,24,25,91,83,110,38,73,42,13,117,11,112,95,52,55,37,70,68,26,35,94,31,74,43,90,8,45,85,51,118,88,58,107,87,3,122,67,53,102,81,69,40,121,119,59,44,116,32,14,82,15,80,104,98,106,18,75,9,78,50,108,10,92,56,79,33,120,103,99,86,100,48,7,105,89,61,30,2,36,72,47,28,57,17,41,27,96,101,4,113,46,111,77,21,16,64,60,63,93,84,5,29,115,39,65,34,54,62,20,12,71,76,114,19,1,97
1: 6,49,66,109,91,22,73,110,83,23,25,24,38,117,68,13,95,26,11,112,37,42,52,74,85,31,90,67,3,8,107,53,118,116,122,70,58,94,88,102,51,43,87,55,44,81,35,69,45,121,75,59,9,15,106,32,119,82,50,98,104,80,40,78,14,99,120,100,10,108,86,18,105,72,56,27,28,89,79,103,92,7,2,30,36,48,41,33,46,61,47,113,93,4,111,57,17,60,21,84,96,101,77,16,54,63,64,34,115,76,12,39,5,65,29,71,20,1,62,114,97,19
1: 49,22,6,112,117,91,66,94,37,74,55,110,11,26,24,67,98,53,42,73,23,40,70,95,13,25,87,3,38,68,52,90,109,50,116,45,121,118,15,14,27,85,83,9,44,43,122,56,2,82,18,102,80,78,8,35,69,104,106,58,10,81,4,31,72,101,107,88,51,108,32,89,103,41,99,59,105,46,28,30,119,63,120,16,7,75,92,33,54,57,96,86,115,111,100,20,61,36,93,39,21,12,84,48,79,113,17,65,77,71,34,114,76,60,5,47,64,1,97,62,19,29
1: 49,6,117,22,112,23,66,25,94,24,13,26,11,110,38,91,37,68,70,42,73,52,95,55,109,74,118,98,83,85,43,53,87,90,67,45,3,40,14,121,58,51,78,88,81,9,82,116,32,44,119,107,35,31,104,56,102,8,59,122,15,69,2,103,80,99,50,120,27,18,92,30,108,10,75,89,106,4,72,101,7,100,105,28,33,41,113,96,61,57,48,46,63,54,36,60,93,86,20,79,47,111,12,16,115,65,77,21,39,97,17,34,29,84,114,76,5,64,71,62,1,19
1: 6,49,25,66,109,117,22,91,11,110,42,23,24,83,94,13,26,112,52,38,73,55,68,85,74,70,118,37,51,67,31,90,8,35,88,43,45,95,81,40,107,3,59,58,53,122,119,87,80,98,78,44,15,116,69,102,14,82,99,32,10,104,7,9,92,121,56,50,108,106,75,103,105,120,18,30,57,100,72,89,33,101,46,27,86,96,4,47,28,41,63,2,79,60,115,111,48,36,61,21,16,113,12,93,39,54,76,20,84,5,17,77,34,65,64,114,29,71,97,62,19,1
1: 6,109,49,66,42,91,25,68,73,22,26,117,23,83,11,37,52,94,24,112,55,13,121,110,70,31,67,90,74,38,53,116,80,32,69,95,107,85,88,35,3,87,81,119,59,43,58,9,75,8,120,51,118,45,44,104,14,50,108,122,98,40,82,106,15,78,28,7,103,41,2,102,56,10,86,92,113,105,27,57,111,115,30,36,4,99,89,46,18,93,33,72,12,63,96,77,47,84,39,101,20,100,79,16,60,17,61,48,21,54,76,5,29,65,62,34,64,71,114,1,19,97
1: 112,49,66,26,40,23,22,37,121,68,91,74,67,11,110,53,98,42,15,6,2,25,109,87,13,116,73,70,3,94,38,117,9,118,14,78,80,27,50,85,55,82,32,95,41,24,58,104,28,103,8,90,45,81,56,44,89,120,52,107,63,36,4,75,108,54,7,72,122,30,18,106,20,69,39,102,10,83,46,96,35,43,88,93,105,59,92,119,101,51,97,31,84,99,115,113,57,16,12,79,76,1,114,77,60,65,48,61,34,111,86,17,33,47,19,100,5,29,62,21,71,64
1: 6,49,117,110,22,37,73,23,68,70,24,112,66,42,11,91,26,55,52,38,109,67,74,8,25,45,31,94,83,121,13,102,98,90,95,87,88,43,107,119,118,100,9,53,85,40,59,3,32,81,58,106,122,79,14,120,48,44,116,51,69,78,108,80,104,35,103,28,75,111,64,50,7,82,86,93,61,15,89,36,47,56,20,33,77,2,18,99,72,4,113,92,17,10,30,46,41,5,60,63,34,57,27,84,29,96,16,12,101,105,71,76,115,39,114,21,65,1,54,19,62,97
1: 49,112,66,23,11,110,117,22,6,42,91,26,37,121,40,70,68,67,74,13,109,53,94,55,73,38,3,98,15,2,87,14,50,24,25,52,85,82,95,116,9,27,118,103,81,56,78,32,90,28,44,41,4,102,83,108,63,80,106,120,107,72,43,18,101,69,45,58,8,122,104,119,7,10,20,59,46,75,92,54,31,88,89,39,16,30,99,113,61,35,36,93,57,77,111,86,84,115,96,12,51,105,76,114,5,65,33,60,34,79,47,1,17,97,100,21,29,19,48,71,62,64
1: 66,112,23,49,26,91,68,37,11,22,6,13,74,42,121,25,67,38,9,109,3,73,110,32,116,53,95,55,8,70,118,15,85,117,14,24,2,81,106,78,98,80,28,40,108,90,31,87,58,41,44,104,120,119,107,75,94,27,82,122,83,69,52,102,72,103,45,51,18,88,59,7,50,56,63,36,35,30,10,93,43,113,100,4,54,79,39,92,105,99,46,61,84,20,89,96,12,101,76,115,86,16,60,1,48,97,77,111,57,34,33,17,114,65,5,29,47,19,21,62,71,64
1: 49,6,22,110,117,91,66,24,112,23,94,38,13,25,73,74,83,109,95,37,11,87,85,67,26,118,43,42,68,98,70,58,122,53,82,90,55,52,44,45,8,31,40,35,51,107,50,88,3,102,27,14,121,15,80,81,10,119,69,104,78,59,108,116,89,106,105,57,72,103,92,75,4,56,9,101,30,99,120,28,18,115,7,61,32,41,111,100,60,33,96,48,46,86,21,63,2,79,93,16,65,47,36,54,12,113,77,20,64,34,76,17,29,5,84,39,114,71,97,1,19,62
1: 6,49,66,117,25,22,110,91,83,38,23,24,112,73,109,13,95,42,55,37,74,8,85,45,51,58,35,11,26,94,88,67,90,43,31,68,119,102,70,87,52,107,69,118,3,82,44,81,53,40,122,59,15,100,98,78,116,56,10,121,108,48,104,106,50,14,30,92,89,99,9,80,47,105,72,120,7,79,41,33,32,18,75,60,103,64,28,111,86,61,46,101,27,96,21,4,57,77,115,113,16,2,84,20,36,76,29,17,12,93,63,34,39,5,65,114,97,71,54,1,62,19
1: 6,91,49,109,66,26,23,117,42,112,22,13,37,55,73,110,68,38,11,24,52,25,3,95,74,67,83,94,90,45,53,31,98,121,40,70,116,15,87,85,107,81,88,43,118,102,122,32,35,80,41,8,104,58,69,50,75,9,14,51,78,18,106,27,56,7,120,103,119,10,2,44,4,82,59,105,92,89,108,30,86,111,28,72,101,46,99,113,48,36,16,20,54,100,33,57,93,84,77,12,39,63,60,96,79,61,115,65,17,76,21,47,5,34,64,29,1,114,71,62,97,19
1: 49,6,117,22,110,112,24,38,23,13,66,25,11,94,91,68,26,109,73,85,74,55,42,70,118,52,45,95,37,83,51,67,87,43,3,53,35,119,40,14,107,90,98,122,82,81,44,78,121,59,92,31,108,58,80,8,69,102,27,116,88,103,4,120,15,104,56,89,99,57,50,101,105,32,10,18,61,2,30,9,96,72,100,106,28,33,111,75,7,115,41,60,46,86,48,63,113,16,93,65,77,12,47,20,36,21,54,79,76,39,114,5,84,64,71,17,97,29,34,19,62,1
1: 6,49,117,25,22,112,66,11,23,24,110,13,109,38,52,94,68,45,91,95,26,55,37,83,118,74,85,42,51,90,70,67,43,73,35,40,119,87,98,31,116,53,14,3,59,44,122,58,88,81,107,78,102,15,8,99,69,10,89,121,82,92,18,108,30,56,104,50,105,2,57,32,80,103,4,120,33,100,9,7,101,46,106,27,60,72,75,96,61,86,48,113,28,115,111,93,63,36,41,76,79,54,12,16,47,20,77,64,65,39,21,29,17,84,5,97,114,34,71,1,62,19
1: 6,66,109,26,49,22,73,11,25,37,91,112,74,42,68,53,23,24,3,110,94,117,90,9,67,70,118,121,38,116,85,95,83,32,13,52,31,80,87,122,58,14,40,55,107,106,44,78,8,45,43,2,15,69,88,75,98,82,51,108,50,102,120,27,56,104,103,59,81,28,35,7,10,119,41,18,72,99,46,105,86,4,30,57,92,63,20,36,115,79,12,93,113,96,16,111,84,89,54,101,100,61,33,39,77,60,47,48,76,21,17,65,5,34,29,114,97,62,64,1,71,19
1: 109,6,49,91,23,66,73,22,25,26,70,83,24,11,110,13,90,42,67,55,31,37,68,112,52,85,117,38,88,107,74,59,35,94,81,53,95,80,119,108,3,87,75,118,121,8,50,122,69,32,58,28,45,116,106,7,43,51,102,9,27,104,41,56,89,113,105,14,86,4,82,103,120,36,111,101,40,61,77,78,15,57,93,98,115,44,2,92,18,30,12,33,72,16,46,96,63,5,20,84,99,79,39,17,10,47,76,60,48,54,29,100,114,65,21,34,62,71,64,1,97,19
1: 6,109,66,91,49,112,73,68,55,42,37,23,26,11,25,13,38,22,117,24,67,121,116,107,3,69,70,9,102,81,98,15,106,74,95,31,53,41,119,85,90,83,110,108,2,32,28,104,118,94,59,87,88,8,75,35,14,120,27,56,52,78,86,122,4,16,45,111,80,50,44,39,72,103,113,18,10,105,58,82,51,36,63,101,43,84,61,40,7,99,20,77,76,92,100,12,17,30,1,89,46,57,93,48,79,96,60,33,5,115,54,34,114,71,21,29,65,62,47,19,97,64
1: 6,66,49,112,26,22,68,11,117,37,116,91,53,55,42,23,94,74,70,2,67,38,98,110,3,15,121,87,95,13,14,52,24,109,40,90,45,73,118,25,56,9,104,50,85,44,82,18,81,41,69,107,78,80,27,83,8,43,32,120,99,58,102,122,20,106,4,28,72,59,108,92,31,88,54,63,10,75,103,101,119,35,105,46,89,7,30,51,61,39,16,93,115,84,36,57,96,113,33,12,111,1,86,65,77,17,79,114,100,97,48,47,76,34,60,29,64,5,21,71,19,62
1: 49,6,66,112,23,22,25,11,91,13,117,42,68,37,38,26,55,109,24,70,110,52,74,83,67,95,90,3,53,116,85,73,87,81,31,45,118,94,119,69,107,121,15,8,43,51,88,2,44,40,9,78,56,35,14,58,104,98,59,32,82,106,120,122,18,80,102,99,50,10,103,72,92,75,108,7,41,27,28,4,30,89,105,101,46,33,100,61,36,113,79,48,93,96,63,86,57,12,16,111,54,20,115,39,84,77,60,21,47,17,65,76,34,64,97,29,1,5,62,114,71,19
1: 6,11,66,49,22,68,26,91,42,3,109,37,55,117,24,112,73,53,74,107,14,25,85,95,23,59,9,38,94,90,110,44,69,83,87,116,13,52,70,15,118,81,2,99,45,56,120,67,41,61,31,102,32,18,78,88,43,119,50,51,86,35,106,10,33,8,82,104,121,46,122,58,103,40,100,92,113,108,30,28,80,75,79,72,1,47,84,101,89,93,7,17,96,36,39,12,115,63,54,27,20,34,114,4,57,77,98,111,16,29,105,5,71,97,76,65,64,21,60,48,62,19
1: 6,49,25,109,23,66,13,117,112,22,55,83,24,91,110,85,11,42,52,38,51,26,45,35,73,70,95,88,119,74,68,59,67,94,8,31,37,43,90,107,81,78,44,40,102,14,53,15,122,87,3,69,82,118,80,48,58,100,116,98,10,92,56,7,30,108,79,120,106,32,89,50,103,33,99,72,104,105,57,96,18,121,9,113,75,61,28,86,47,4,101,27,16,36,41,2,77,54,64,115,63,60,5,111,17,46,29,65,84,93,20,12,39,76,62,114,21,71,34,97,1,19
1: 25,6,49,109,117,24,13,66,73,55,85,11,23,52,94,92,110,83,59,22,42,91,70,51,112,38,88,57,119,96,81,43,8,122,31,80,89,67,30,98,68,118,87,95,74,35,15,60,7,107,53,37,108,78,48,113,45,40,90,26,58,115,120,69,105,56,100,16,79,10,103,41,116,75,121,104,82,97,102,28,14,3,44,33,106,99,27,50,47,4,18,63,93,111,32,17,29,36,72,77,76,9,39,5,65,114,62,64,101,86,61,21,46,2,12,34,20,84,54,1,71,19
1: 6,49,66,112,25,23,55,22,117,42,13,91,24,11,109,26,70,110,68,52,38,37,67,83,74,90,3,85,45,73,95,94,53,119,40,78,31,118,51,116,87,81,56,14,88,35,59,69,15,107,43,8,9,98,121,82,44,102,58,50,2,122,80,106,120,99,10,32,108,103,92,104,18,30,72,4,27,48,105,7,28,41,101,75,89,46,79,33,113,16,100,61,57,96,63,36,86,20,111,60,12,115,84,77,54,93,39,29,47,5,21,17,64,76,97,62,65,114,34,1,71,19
1: 6,49,66,112,23,73,24,117,13,22,91,11,25,68,55,38,110,109,67,26,94,52,70,83,95,3,74,42,37,85,87,35,98,45,118,53,116,51,90,81,40,121,31,69,107,43,108,82,44,50,88,27,119,14,104,122,15,106,59,8,102,78,80,28,9,41,32,105,103,58,4,75,56,10,18,120,7,2,92,99,89,30,72,20,111,86,63,113,101,79,61,39,100,48,36,57,96,84,16,77,46,33,76,47,54,12,115,17,60,5,65,93,62,97,21,114,64,34,29,71,1,19
1: 6,26,42,66,91,112,31,49,38,109,73,55,22,37,11,110,52,13,24,95,117,3,23,68,74,121,90,116,102,94,67,107,75,59,122,25,85,70,80,2,83,118,106,87,50,43,45,53,44,40,105,63,14,69,32,9,56,81,8,88,35,120,82,98,58,103,18,51,108,28,104,10,57,4,41,27,78,15,119,86,111,46,61,7,12,20,72,54,115,113,99,36,84,60,76,77,93,5,79,39,100,114,92,47,101,89,30,96,65,21,64,33,16,62,29,17,1,48,19,34,71,97
1: 49,117,110,112,22,94,6,91,11,73,67,26,23,13,66,40,24,70,55,74,85,25,38,98,109,53,68,37,80,121,42,27,52,3,78,87,50,118,103,81,90,82,14,56,122,44,92,58,9,15,41,108,4,43,89,95,2,31,69,88,83,101,57,7,107,32,119,35,63,10,96,116,59,28,104,8,102,106,18,72,30,75,46,99,120,16,115,113,54,105,111,86,39,93,33,61,60,12,84,76,21,114,77,5,65,36,34,45,71,17,20,19,1,51,47,100,79,97,48,64,29,62
1: 49,6,24,66,25,117,23,22,109,112,73,13,91,110,11,94,83,52,42,70,26,55,118,38,74,95,43,37,90,35,68,58,85,3,40,8,87,67,31,107,116,88,51,53,81,45,119,69,59,102,82,122,78,14,56,44,32,121,103,98,15,9,80,104,10,99,75,120,50,106,108,27,92,18,7,100,79,30,105,36,89,86,2,48,113,61,28,33,72,46,101,57,16,111,4,21,93,115,41,77,96,20,84,54,47,63,39,12,60,5,17,64,76,34,29,71,65,62,114,97,19,1
1: 6,49,117,55,91,24,25,109,22,23,26,13,68,66,73,11,38,35,112,37,83,52,110,70,42,43,45,94,8,95,118,107,85,51,87,74,88,119,53,81,116,90,122,69,59,14,31,67,102,3,40,32,58,104,44,18,15,80,9,82,92,86,75,108,10,103,100,98,121,120,78,61,99,7,33,56,101,48,106,28,89,36,30,50,46,105,27,2,57,79,41,113,111,16,64,72,93,96,4,47,54,77,76,5,17,115,60,84,20,12,63,65,34,29,39,71,114,21,19,62,1,97
1: 6,109,66,11,91,68,70,49,38,37,26,23,112,22,73,74,13,121,24,25,42,67,3,69,9,55,53,8,104,107,2,116,106,118,15,98,85,119,81,32,117,78,95,110,41,31,87,90,14,102,56,45,28,75,83,44,88,82,59,86,120,94,103,108,36,50,52,58,27,40,79,7,51,16,99,111,80,77,72,63,4,100,35,30,10,39,43,20,18,122,105,113,84,46,48,92,96,61,89,101,93,29,1,76,12,54,60,17,47,5,57,62,65,34,19,115,114,97,33,21,64,71
1: 49,112,22,117,66,23,6,110,25,94,11,24,13,26,73,109,91,37,98,40,70,74,38,87,42,68,67,53,55,3,118,121,52,95,14,116,15,82,45,85,50,27,58,90,43,78,8,83,104,56,9,102,44,122,81,107,2,103,32,35,80,119,69,72,99,89,106,10,51,59,108,4,28,18,88,30,92,31,101,7,120,54,75,105,41,16,36,46,63,20,79,93,48,33,96,57,86,61,100,84,113,39,115,111,65,77,12,97,47,21,114,17,60,76,34,5,1,64,29,71,62,19
1: 49,6,112,66,117,22,23,25,73,24,110,11,13,38,91,94,109,40,26,98,70,68,74,67,55,42,83,118,121,87,58,82,52,95,45,53,37,51,8,122,43,85,44,14,50,3,31,35,15,107,27,119,116,108,78,2,80,104,59,103,10,57,89,90,9,81,96,32,41,120,4,88,56,63,101,18,102,105,69,7,106,75,20,28,48,72,30,99,92,54,16,46,111,61,115,60,36,12,93,79,113,65,84,47,33,86,39,77,100,97,114,17,21,5,76,29,1,64,34,71,19,62
1: 49,6,66,22,110,13,91,23,83,38,117,25,24,94,51,88,52,70,112,85,109,43,31,11,119,122,95,73,55,118,26,44,8,37,80,67,45,42,68,35,58,74,82,78,81,10,69,107,40,87,98,90,53,100,59,15,3,92,102,48,32,30,89,14,108,106,103,99,50,60,7,57,104,105,47,33,56,75,86,115,18,116,120,72,96,64,79,29,63,28,121,101,111,9,21,76,41,4,93,17,5,36,16,46,61,39,27,12,65,34,2,84,20,54,113,114,97,71,1,19,62,77
1: 22,112,49,94,45,73,23,53,11,67,66,6,110,70,3,40,42,91,117,55,37,68,26,14,74,90,20,27,15,13,98,24,116,109,50,85,87,38,95,121,82,118,56,25,44,52,2,103,9,102,4,80,122,43,41,83,106,32,81,78,63,28,88,35,120,101,18,51,69,108,58,107,72,7,59,54,10,46,100,104,119,111,16,99,79,75,39,48,92,8,89,12,30,47,31,113,76,86,97,61,57,105,29,77,96,36,34,115,17,33,65,114,93,64,84,60,21,62,5,1,71,19
1: 49,66,109,6,117,25,112,74,42,37,22,26,73,55,23,91,70,68,3,52,13,24,14,9,53,11,110,83,116,90,87,122,67,85,95,58,38,31,94,44,56,27,119,50,121,40,88,59,32,51,106,15,43,45,82,98,92,80,30,75,18,118,102,89,36,107,35,28,120,81,105,69,63,72,41,78,108,7,57,103,2,54,10,8,99,104,61,113,4,115,93,12,39,16,101,46,33,84,20,17,86,76,79,96,65,111,5,77,114,100,48,47,60,21,1,34,62,97,29,19,64,71
1: 49,112,22,40,26,110,37,66,6,117,23,121,74,91,53,42,109,68,70,67,11,25,38,87,2,14,55,13,73,82,94,85,24,98,15,27,116,9,50,52,32,80,3,56,118,95,78,101,107,58,18,108,28,44,90,63,69,81,8,4,103,104,120,54,106,41,89,72,59,30,92,7,57,122,83,16,20,46,45,96,61,36,102,115,10,31,99,93,119,75,43,113,111,114,88,12,5,105,35,84,65,39,21,77,33,60,51,97,1,86,34,76,79,17,47,19,48,29,100,71,62,64
1: 66,49,6,109,68,23,26,112,53,91,121,22,42,11,70,37,73,25,110,118,74,40,38,67,117,52,116,85,13,15,87,32,94,98,95,9,24,107,3,27,82,55,90,59,81,41,56,50,69,8,101,14,108,2,120,28,58,80,7,83,104,106,44,31,78,75,102,103,18,10,122,16,92,72,54,35,99,45,30,4,63,88,36,89,105,43,119,20,79,113,57,86,96,51,84,111,39,12,93,115,61,46,77,5,114,100,48,47,33,1,97,34,60,21,65,76,19,17,29,62,71,64
1: 6,91,66,49,11,26,37,22,109,23,112,70,38,25,74,68,24,117,42,13,110,55,73,121,67,53,8,83,118,95,52,116,3,69,87,90,104,98,15,85,107,9,31,32,14,40,81,45,58,106,94,119,56,82,59,88,80,44,27,72,50,122,10,43,75,102,78,35,120,51,28,18,108,41,2,103,99,7,101,92,4,89,111,30,105,36,20,46,63,48,54,61,79,113,100,33,93,16,12,86,39,96,57,115,84,17,47,77,60,65,21,34,76,1,5,29,71,62,114,97,64,19
1: 6,49,109,66,91,23,11,22,25,110,117,13,38,112,68,24,73,70,83,26,55,74,37,52,42,8,3,67,58,118,53,94,95,119,85,35,107,87,69,81,31,88,43,51,45,90,82,44,121,116,15,122,40,98,14,104,102,56,106,32,50,10,59,78,9,100,120,72,80,75,89,99,7,27,79,92,18,103,2,101,105,108,61,48,30,33,28,46,86,4,41,36,111,54,113,93,57,21,47,16,96,60,115,63,65,12,77,76,17,64,84,39,34,20,5,29,1,62,114,71,97,19
1: 49,6,91,66,23,22,109,25,117,11,110,13,38,112,24,73,26,83,52,68,70,74,55,42,37,8,95,118,67,85,3,53,94,58,31,35,87,107,119,90,88,51,69,43,81,45,122,116,44,82,121,102,32,40,98,15,106,14,59,9,78,104,75,56,50,80,10,120,100,7,27,99,92,89,105,79,108,103,18,72,2,86,28,30,61,48,46,33,36,4,101,113,41,111,21,93,47,57,54,60,96,16,115,63,12,64,77,17,84,76,34,65,39,5,20,29,1,71,114,62,97,19
1: 6,66,49,73,23,112,91,22,11,26,109,42,38,37,70,24,110,68,55,87,67,13,3,25,94,32,117,74,40,85,121,15,53,27,80,14,45,90,35,118,82,81,95,69,88,103,107,56,104,8,98,120,41,44,50,4,83,116,52,31,119,58,9,75,78,51,28,89,113,20,122,2,39,72,101,111,43,86,7,102,108,54,63,105,59,76,16,48,92,106,18,10,79,57,36,30,97,61,99,19,77,115,96,93,84,100,65,46,17,34,12,64,5,60,21,114,1,71,33,47,29,62
1: 49,112,66,6,23,22,117,25,13,11,110,38,68,26,109,37,24,74,91,42,67,70,94,40,73,52,55,85,95,53,118,87,98,3,121,90,45,116,83,78,14,81,58,15,80,82,51,104,43,31,2,9,8,32,122,44,103,35,88,107,119,27,56,69,120,50,108,92,102,59,18,89,106,30,4,28,75,41,72,99,7,10,105,96,36,101,57,48,113,33,54,63,46,16,93,61,79,100,115,20,86,60,39,84,12,77,111,65,47,76,21,97,17,114,5,29,1,64,34,19,62,71
1: 6,49,109,66,25,22,91,24,83,117,23,73,110,55,112,42,70,26,52,13,11,95,38,94,85,35,8,87,31,119,45,43,118,59,58,88,122,68,74,37,107,53,51,67,90,44,3,81,75,69,98,82,40,102,78,105,15,50,116,108,80,7,57,89,56,14,121,92,18,120,106,104,10,48,103,64,27,99,79,9,32,100,86,111,30,72,28,33,36,2,47,115,61,101,60,113,46,96,63,34,12,4,93,77,17,5,16,54,41,76,29,21,84,20,39,71,65,114,97,62,19,1
1: 49,6,66,25,83,73,38,110,109,22,85,67,112,117,91,70,23,13,95,24,11,52,26,94,68,43,42,107,118,74,90,55,102,51,81,8,87,59,82,31,44,88,122,37,35,53,45,78,3,116,58,103,9,119,15,40,100,32,69,79,99,30,10,7,50,48,106,14,4,98,64,89,120,56,108,113,80,121,92,72,41,75,27,86,28,33,104,105,60,47,18,2,57,21,96,46,93,111,76,39,61,36,12,63,5,101,16,29,84,65,54,20,17,115,34,114,19,1,71,97,62,77
1: 49,117,22,110,112,26,40,66,11,6,67,37,68,91,109,121,74,42,70,94,53,73,23,14,24,55,25,38,98,3,50,13,87,85,82,2,15,116,95,27,9,118,80,52,56,78,44,90,32,4,103,28,108,107,18,106,69,58,122,101,83,63,41,104,102,120,72,45,54,46,59,81,20,43,8,61,57,35,89,75,31,7,92,88,119,30,16,111,115,12,10,99,105,36,113,96,39,93,114,84,65,5,51,86,33,77,76,21,60,1,34,97,17,79,19,47,29,48,71,62,100,64
1: 117,42,49,66,83,6,23,38,67,31,91,25,119,109,13,52,59,26,55,24,11,88,110,73,85,51,37,112,3,22,98,90,107,81,94,122,45,58,95,89,105,92,87,57,70,68,7,108,8,116,113,104,15,74,118,35,75,80,106,69,43,41,30,10,44,36,56,96,50,4,82,60,103,102,48,120,53,63,115,121,84,40,28,78,93,12,27,16,79,14,100,72,77,33,9,46,32,101,111,47,39,18,20,86,29,76,2,65,97,1,61,99,34,71,21,17,54,5,62,114,64,19