# FILE NAME: 00054-00000721.soi
# TITLE: Football 2007-01-07
# DESCRIPTION: 
# DATA TYPE: soi
# MODIFICATION TYPE: original
# RELATES TO: 
# RELATED FILES: 00054-00000721.soc
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 120
# NUMBER VOTERS: 113
# NUMBER UNIQUE ORDERS: 113
# 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: LSU
# ALTERNATIVE NAME 22: Notre Dame
# ALTERNATIVE NAME 23: Ohio St
# ALTERNATIVE NAME 24: Georgia
# 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: Northwestern
# ALTERNATIVE NAME 33: Purdue
# ALTERNATIVE NAME 34: Indiana
# ALTERNATIVE NAME 35: Southern Miss
# ALTERNATIVE NAME 36: Texas
# ALTERNATIVE NAME 37: Colorado St
# ALTERNATIVE NAME 38: Missouri
# ALTERNATIVE NAME 39: Florida
# ALTERNATIVE NAME 40: New Mexico
# ALTERNATIVE NAME 41: Fresno St
# ALTERNATIVE NAME 42: Georgia Tech
# ALTERNATIVE NAME 43: Michigan St
# ALTERNATIVE NAME 44: Kansas
# ALTERNATIVE NAME 45: Oregon St
# ALTERNATIVE NAME 46: Arkansas
# 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: South Florida
# ALTERNATIVE NAME 63: C Michigan
# ALTERNATIVE NAME 64: Florida St
# ALTERNATIVE NAME 65: UCF
# ALTERNATIVE NAME 66: Arizona
# ALTERNATIVE NAME 67: Tennessee
# ALTERNATIVE NAME 68: Miami FL
# ALTERNATIVE NAME 69: Miami OH
# ALTERNATIVE NAME 70: Nevada
# ALTERNATIVE NAME 71: Louisville
# ALTERNATIVE NAME 72: Texas Tech
# ALTERNATIVE NAME 73: Marshall
# ALTERNATIVE NAME 74: UTEP
# ALTERNATIVE NAME 75: FL Atlantic
# ALTERNATIVE NAME 76: Connecticut
# ALTERNATIVE NAME 77: NC State
# ALTERNATIVE NAME 78: Bowling Green
# ALTERNATIVE NAME 79: North Carolina
# ALTERNATIVE NAME 80: Rutgers
# ALTERNATIVE NAME 81: Wisconsin
# ALTERNATIVE NAME 82: Akron
# ALTERNATIVE NAME 83: Penn St
# ALTERNATIVE NAME 84: Kentucky
# ALTERNATIVE NAME 85: Virginia Tech
# ALTERNATIVE NAME 86: BYU
# ALTERNATIVE NAME 87: Tulsa
# ALTERNATIVE NAME 88: Utah
# ALTERNATIVE NAME 89: Oklahoma St
# ALTERNATIVE NAME 90: San Jose St
# ALTERNATIVE NAME 91: UAB
# ALTERNATIVE NAME 92: Michigan
# ALTERNATIVE NAME 93: USC
# ALTERNATIVE NAME 94: Kent
# ALTERNATIVE NAME 95: Florida Intl
# ALTERNATIVE NAME 96: N Illinois
# ALTERNATIVE NAME 97: California
# ALTERNATIVE NAME 98: Iowa St
# ALTERNATIVE NAME 99: ULM
# ALTERNATIVE NAME 100: Iowa
# ALTERNATIVE NAME 101: East Carolina
# ALTERNATIVE NAME 102: Toledo
# ALTERNATIVE NAME 103: Louisiana
# ALTERNATIVE NAME 104: Wyoming
# ALTERNATIVE NAME 105: Mississippi St
# ALTERNATIVE NAME 106: Ball St
# ALTERNATIVE NAME 107: Baylor
# ALTERNATIVE NAME 108: Oklahoma
# ALTERNATIVE NAME 109: WKU
# ALTERNATIVE NAME 110: Clemson
# ALTERNATIVE NAME 111: Memphis
# ALTERNATIVE NAME 112: E Michigan
# ALTERNATIVE NAME 113: Troy
# ALTERNATIVE NAME 114: Washington St
# ALTERNATIVE NAME 115: Nebraska
# ALTERNATIVE NAME 116: Stanford
# ALTERNATIVE NAME 117: Vanderbilt
# ALTERNATIVE NAME 118: Duke
# ALTERNATIVE NAME 119: Navy
# ALTERNATIVE NAME 120: Cincinnati
1: 93,38,21,10,24,23,44,108,6,52,86,85,39,36,120,45,67,18,62,53,9,92,17,110,88,72,83,61,81,84,76,56,97,20,11,105,65,89,41,58,64,8,43,25,40,46,33,113,49,13,80,66,87,71,2,114,3,101,115,26,42,34,51,50,75,100,15,106,117,63,119,78,116,32,68,35,77,104,79,99,70,48,109,22,60,4,55,29,90,98,69,111,27,107,37,16,57,74,59,112,102,73,54,82,12,19,31,5,7,118,47,14,94,91,103,28,30,95,96,1
1: 21,44,10,93,23,24,38,108,39,85,6,120,52,86,53,62,36,110,67,18,45,17,83,88,9,72,84,46,92,76,61,58,56,49,89,81,97,80,20,113,13,11,65,8,25,105,43,64,40,71,42,66,33,3,87,41,2,51,115,101,26,34,117,114,15,50,75,35,109,106,119,100,77,68,79,116,32,78,63,104,55,4,99,70,48,29,37,111,57,27,22,74,60,16,69,90,102,98,73,107,112,82,12,54,59,14,7,5,19,103,118,94,47,31,91,30,28,96,1,95
1: 21,38,24,44,85,93,10,23,108,18,67,39,52,86,53,6,45,36,62,110,92,84,9,17,120,61,105,46,56,81,83,76,72,13,64,88,97,89,25,49,11,20,65,113,80,3,42,58,43,2,41,33,66,40,115,8,87,117,71,114,77,75,101,51,119,15,26,34,68,116,63,79,100,32,78,106,104,99,55,22,50,48,98,35,69,4,60,70,90,107,27,111,37,16,29,59,102,57,109,82,118,112,5,54,73,47,103,74,14,94,12,19,7,31,28,91,95,96,1,30
1: 21,38,44,93,10,24,108,23,39,85,6,52,67,86,36,62,18,45,110,53,120,92,84,9,83,46,72,61,56,88,81,89,17,76,13,97,105,11,25,64,49,58,80,20,3,113,66,43,8,65,71,33,42,2,115,117,87,41,40,51,26,114,15,101,119,75,77,34,116,79,68,100,106,63,32,55,50,22,104,99,35,78,48,98,4,70,37,69,29,27,90,107,60,59,16,111,109,57,102,118,54,73,112,82,14,5,74,103,47,12,94,7,31,19,91,28,96,95,30,1
1: 38,21,93,10,24,44,18,23,85,108,86,52,67,6,45,36,120,62,39,92,53,17,9,61,110,56,88,81,76,84,83,105,72,20,65,97,64,46,11,87,40,25,89,80,33,8,41,13,58,49,43,101,2,42,71,113,119,3,66,115,114,50,34,75,117,63,77,32,78,100,51,26,15,116,68,106,35,104,79,99,22,48,98,90,60,109,69,55,70,111,107,29,16,102,27,4,37,57,59,112,73,82,74,5,47,12,54,118,7,19,91,31,103,94,14,96,28,95,30,1
1: 21,24,38,44,93,10,85,86,108,67,23,18,39,36,52,17,45,53,120,6,92,9,88,62,61,110,105,83,56,65,46,84,72,87,76,58,81,20,40,113,41,89,8,49,101,25,80,64,97,75,43,11,13,33,71,42,2,78,3,66,50,119,115,99,114,77,34,63,117,106,15,35,51,100,32,68,111,104,4,26,109,116,70,60,27,48,55,90,69,79,57,22,29,102,16,98,37,107,112,73,82,12,47,5,59,74,103,54,19,7,31,91,118,28,94,95,14,96,30,1
1: 21,44,38,24,10,93,23,108,85,52,67,92,39,18,86,6,53,36,17,45,120,62,9,110,84,83,61,81,105,76,72,46,56,88,25,89,97,49,13,65,64,11,80,20,43,58,87,33,71,41,40,42,2,115,8,3,66,119,101,75,114,113,34,117,63,15,26,51,77,100,68,50,116,32,106,78,104,35,79,4,99,22,98,55,48,69,111,107,57,29,70,59,60,16,73,102,27,90,37,82,112,103,74,5,118,47,109,54,7,14,12,91,94,19,28,31,96,95,30,1
1: 21,10,24,38,85,44,93,23,108,39,86,36,18,52,67,6,120,17,62,9,65,92,45,83,110,88,87,53,56,61,113,58,84,76,101,105,72,81,20,41,89,46,40,43,80,8,25,97,75,33,78,49,64,11,106,13,42,119,2,63,115,71,3,34,35,50,104,66,100,77,15,32,99,4,26,114,117,51,68,111,69,29,116,27,70,60,48,16,57,22,90,102,82,55,79,47,74,98,107,112,73,109,12,5,59,37,54,103,7,31,19,94,118,91,14,28,95,30,96,1
1: 93,10,21,38,44,108,6,39,24,23,85,36,45,86,92,110,72,83,120,67,66,81,11,52,58,43,62,56,18,9,46,89,61,3,84,25,88,53,8,13,97,80,20,17,114,87,40,15,49,64,105,2,26,71,115,65,41,33,76,42,117,113,101,51,34,116,98,119,79,22,100,35,70,32,55,68,14,37,106,50,75,48,29,69,77,90,99,104,59,73,27,63,16,118,78,102,107,112,54,109,111,7,12,4,82,57,31,74,47,60,30,103,96,94,5,19,1,91,95,28
1: 21,24,38,93,10,85,23,44,52,18,39,67,86,108,6,62,45,36,92,53,110,76,9,84,120,56,83,81,105,17,46,88,61,97,13,89,64,49,11,72,25,20,65,80,113,43,33,58,3,40,87,41,66,42,8,71,117,2,75,115,101,77,114,119,15,51,34,26,63,68,78,32,116,100,106,79,99,104,50,55,22,35,48,98,4,69,60,111,90,27,70,57,107,29,102,16,109,37,59,82,5,73,118,47,103,112,54,14,12,94,74,19,31,91,95,7,28,96,1,30
1: 21,24,38,44,93,10,23,108,67,85,39,18,86,36,52,17,53,45,6,120,61,83,9,88,110,92,62,46,56,72,84,105,65,81,76,87,58,40,113,64,41,20,8,80,89,25,75,43,49,97,101,33,13,71,42,11,2,78,34,3,66,50,115,114,100,117,15,32,77,106,68,99,119,51,63,35,111,116,104,26,4,79,69,27,70,22,60,48,16,90,29,57,55,102,98,109,107,112,82,47,12,59,37,5,74,28,103,73,54,31,19,118,91,94,7,95,14,30,1,96
1: 21,10,38,44,24,93,108,23,39,85,6,52,67,86,18,36,120,62,53,110,45,92,84,9,17,83,61,76,88,46,81,72,56,58,65,97,80,13,20,49,105,89,11,43,25,64,113,33,40,87,8,71,41,101,3,42,66,2,117,115,51,34,75,15,119,26,114,77,50,100,63,78,106,35,32,68,79,116,104,99,55,70,4,22,48,27,29,111,98,69,57,37,60,16,90,102,82,59,74,73,112,107,14,109,54,47,12,5,118,103,19,94,31,7,91,96,28,30,95,1
1: 21,38,10,44,24,93,108,39,23,6,85,52,120,36,62,86,67,53,17,45,18,110,92,46,72,84,83,9,58,88,76,61,81,56,89,97,65,113,105,49,80,13,25,20,87,11,64,8,41,43,40,33,71,66,42,101,2,3,115,75,119,26,117,51,114,34,50,15,35,116,106,100,63,78,68,77,32,109,104,55,79,99,4,70,22,111,98,48,27,57,29,69,60,90,37,16,102,73,74,107,59,82,12,54,112,118,14,103,47,5,7,19,31,94,91,28,30,96,95,1
1: 10,108,38,44,21,85,23,6,93,92,39,110,120,9,83,25,36,52,45,97,67,46,13,24,113,89,72,56,105,115,84,61,64,3,76,18,80,81,43,62,53,34,33,65,87,86,17,99,49,117,41,98,42,51,55,63,2,69,106,119,20,88,71,8,40,66,22,114,11,26,58,15,77,35,101,79,29,100,116,75,50,68,78,59,118,32,14,109,4,57,107,16,82,70,111,73,48,37,102,104,27,103,60,5,47,112,96,94,54,90,91,12,31,19,7,74,30,95,28,1
1: 21,24,38,10,44,93,23,85,18,108,39,52,67,86,6,36,53,62,17,120,45,92,110,84,61,9,56,83,81,76,88,105,46,65,72,20,58,87,80,113,49,13,97,25,64,89,40,41,43,11,101,33,8,42,71,75,3,2,115,119,117,34,77,66,78,63,50,114,15,106,51,32,100,68,35,26,99,116,104,79,109,111,55,4,69,48,70,27,22,60,29,57,90,98,16,102,107,37,82,59,112,74,5,73,12,47,19,54,103,94,118,14,91,7,31,28,95,96,30,1
1: 21,38,10,44,93,24,23,108,85,39,6,67,86,36,52,18,120,53,45,62,92,110,9,17,83,84,61,72,46,81,88,56,76,105,89,58,97,65,80,49,13,20,25,64,11,43,113,8,87,41,40,33,66,3,71,42,101,2,115,117,75,119,114,15,34,51,26,50,77,100,63,106,68,35,32,78,116,79,99,104,55,70,22,4,48,98,111,29,69,27,37,90,60,57,16,102,109,107,73,59,82,112,74,54,14,12,118,47,5,103,7,19,94,31,91,96,30,28,95,1
1: 21,38,10,44,24,108,85,93,23,18,86,52,36,67,17,92,39,6,120,62,45,9,83,65,53,110,88,56,61,87,81,76,72,58,84,20,105,46,113,40,41,80,101,33,25,8,43,89,64,97,75,49,11,119,63,13,78,2,34,42,71,50,115,3,106,100,35,66,32,15,104,51,99,77,114,117,111,68,27,4,69,70,26,57,116,60,29,90,102,109,16,48,98,79,22,82,55,47,73,74,112,107,12,103,37,5,7,19,54,59,14,94,31,91,118,96,28,95,30,1
1: 21,24,38,23,44,93,10,85,108,17,18,36,67,52,6,53,120,92,39,9,110,86,72,83,81,56,45,61,62,58,84,88,46,76,87,49,40,97,119,20,25,64,43,80,8,105,65,41,50,42,63,33,101,89,75,71,113,78,13,34,100,3,32,66,35,2,15,11,106,51,77,4,102,99,115,69,70,116,68,117,114,60,26,90,111,104,22,27,79,16,29,109,82,47,12,74,98,73,7,112,57,48,103,37,19,107,55,5,59,31,96,94,95,14,54,91,28,118,1,30
1: 21,24,44,17,10,23,38,93,108,18,86,85,120,36,6,52,92,72,45,56,101,61,39,53,58,9,67,88,87,76,40,46,83,20,84,81,110,113,41,62,8,105,65,43,78,99,89,71,64,34,80,33,63,25,75,49,106,11,50,2,16,32,109,111,97,35,119,100,68,117,3,114,13,29,42,4,70,116,115,77,15,47,69,104,51,102,82,55,66,57,60,37,79,73,12,112,22,94,27,90,96,107,26,5,48,19,7,103,91,98,74,54,59,31,118,30,95,14,28,1
1: 21,44,85,24,93,10,23,38,108,39,53,18,45,52,67,6,62,110,84,92,9,86,120,61,76,13,46,36,83,105,11,64,72,81,56,17,97,88,43,89,20,49,80,42,66,71,117,3,58,113,25,65,33,115,51,26,2,114,15,41,34,8,77,79,68,100,116,40,119,87,106,75,22,101,63,32,55,78,99,104,98,35,70,50,29,48,69,118,59,37,4,27,90,60,14,109,112,16,107,57,111,54,82,74,102,47,5,73,103,12,31,19,94,96,91,7,30,28,95,1
1: 93,10,21,38,108,44,23,39,6,24,85,110,120,62,36,86,52,83,53,45,67,72,92,88,89,84,18,46,58,61,11,9,66,80,13,8,43,56,3,81,97,113,49,25,26,64,76,20,71,51,15,105,117,33,65,2,115,40,87,41,17,42,114,34,79,119,116,101,35,100,106,55,75,68,37,22,63,77,50,32,98,48,99,70,4,29,104,14,109,73,54,59,118,27,16,78,57,102,112,69,90,74,111,107,60,31,12,82,103,7,94,30,47,96,5,1,91,19,28,95
1: 38,21,44,24,10,93,23,108,85,52,45,86,67,18,6,36,39,53,17,62,120,92,9,110,84,76,61,83,81,46,105,72,56,88,97,89,25,11,20,13,64,80,40,65,49,58,41,113,2,8,87,71,66,43,33,3,42,115,114,75,101,15,117,34,119,26,116,77,51,50,100,32,68,63,104,78,106,79,99,48,22,35,98,55,69,70,60,90,111,107,109,4,59,37,57,29,102,27,16,54,112,73,74,82,118,5,47,12,103,19,7,14,94,31,91,28,96,95,30,1
1: 93,21,38,44,24,10,108,85,39,45,36,86,23,6,120,92,72,83,67,18,61,9,81,46,88,84,89,53,80,110,8,56,17,97,58,52,49,43,105,25,76,11,64,114,20,3,66,15,13,26,62,40,2,41,71,33,117,101,65,87,42,79,115,100,116,22,34,75,32,113,99,68,37,63,119,51,77,98,55,14,35,70,50,106,48,78,90,27,29,59,104,73,111,112,118,12,7,82,54,107,109,16,102,103,47,69,31,30,57,60,74,4,5,19,96,1,91,94,28,95
1: 10,24,44,38,21,93,23,85,86,108,67,18,36,17,45,53,92,39,120,52,9,61,62,83,110,6,72,56,81,105,88,76,46,84,65,41,89,58,113,80,87,40,33,101,20,25,75,64,43,8,49,71,119,42,13,97,3,66,77,78,63,100,34,99,11,2,15,32,114,106,50,115,117,109,35,51,111,68,79,116,4,29,27,26,98,70,102,22,60,90,55,82,16,57,48,104,112,37,73,107,69,47,12,103,59,5,7,74,19,14,31,118,94,28,91,54,96,95,1,30
1: 21,24,38,93,10,44,108,52,67,85,6,39,23,86,18,53,45,36,62,120,17,84,110,46,105,9,92,61,56,76,72,97,13,83,49,88,81,11,25,64,89,65,20,80,58,113,87,41,40,66,42,71,43,2,101,8,3,33,115,117,114,75,15,77,26,51,116,34,68,119,50,78,55,32,106,100,63,35,79,104,99,22,60,109,111,70,90,4,107,29,57,48,69,102,27,16,37,98,59,5,82,112,12,73,19,74,47,118,54,103,91,31,7,14,94,95,28,96,1,30
1: 21,24,38,44,10,85,93,23,86,17,108,18,52,67,36,39,120,45,62,6,53,9,83,110,61,88,56,76,58,92,65,81,84,87,72,105,41,20,46,113,25,40,89,80,8,101,49,75,43,33,13,64,97,78,42,71,11,34,3,50,115,66,119,106,2,15,77,63,109,35,99,117,32,114,100,51,104,68,27,111,16,26,4,70,60,69,90,48,29,55,79,102,57,116,22,107,82,98,47,37,112,5,74,12,59,73,19,54,31,94,91,103,118,14,7,28,95,1,30,96
1: 10,93,38,44,108,21,39,85,24,23,6,36,110,45,86,92,120,72,67,83,62,56,88,58,61,18,81,66,46,43,52,11,89,3,80,53,9,25,84,8,13,20,87,17,15,97,71,26,49,105,64,65,2,40,115,76,33,41,117,42,114,113,101,119,51,34,35,79,98,100,22,116,70,50,63,32,68,14,106,55,75,37,29,77,48,99,90,59,73,104,27,109,102,78,112,16,54,7,118,111,12,107,4,74,69,30,82,57,47,31,60,96,103,5,94,19,91,1,28,95
1: 21,24,38,44,10,85,23,108,86,18,93,17,67,120,36,39,52,53,62,9,6,45,92,110,58,76,83,81,61,72,84,65,105,56,88,41,87,46,20,80,25,33,113,89,101,49,8,40,43,13,97,64,42,75,71,34,78,63,50,119,11,35,3,70,106,2,32,99,115,100,66,51,77,15,117,111,27,114,104,60,68,90,29,69,4,102,57,16,48,79,26,116,74,82,112,12,19,47,55,107,22,98,5,37,73,103,7,94,59,54,109,31,91,28,96,118,14,95,1,30
1: 44,21,38,24,10,93,85,23,108,17,86,18,67,52,39,36,45,53,120,6,62,9,110,105,92,61,84,76,56,83,72,88,46,81,65,58,20,89,87,25,49,113,97,64,41,40,13,11,8,80,101,71,43,42,33,75,3,2,66,115,114,34,119,51,77,78,50,117,15,26,106,63,99,104,32,100,68,35,116,109,48,79,4,70,69,55,60,111,90,22,27,57,16,29,107,102,37,82,98,112,59,74,5,47,12,73,54,118,19,103,94,91,7,31,28,14,95,96,30,1
1: 21,10,38,108,44,93,23,39,36,24,110,86,6,83,85,120,62,9,18,43,58,45,20,46,65,52,81,80,53,89,92,88,8,67,113,17,87,50,61,11,97,42,25,84,72,56,64,15,49,71,33,40,76,35,3,119,41,101,2,66,63,26,117,34,70,51,105,115,100,106,13,114,57,75,104,37,12,98,99,79,68,32,73,29,94,102,69,14,103,55,60,54,78,47,109,4,27,30,74,16,111,90,116,112,48,82,22,77,7,19,1,31,107,96,28,59,5,118,95,91
1: 6,21,93,10,23,108,44,24,38,39,52,85,62,36,120,86,18,67,110,53,97,84,83,9,81,64,92,45,17,61,87,72,88,49,76,89,80,113,13,3,66,46,41,8,115,43,56,58,26,11,51,105,40,33,117,25,20,71,42,65,2,104,68,114,101,15,79,77,75,106,32,100,50,55,119,116,34,35,78,63,99,98,57,27,37,102,90,70,22,4,82,107,48,29,109,59,94,60,111,118,69,54,14,74,31,112,16,19,5,73,47,96,103,95,12,91,7,30,28,1
1: 21,24,10,67,93,108,38,86,44,39,53,85,23,6,120,36,17,18,62,46,105,84,92,45,61,9,88,83,49,72,110,52,65,13,8,87,20,76,40,80,56,97,81,41,89,58,64,43,33,113,11,101,71,25,117,42,66,15,3,75,34,50,2,119,51,100,114,115,78,68,77,35,26,106,32,63,70,109,104,116,79,55,99,111,60,27,57,90,4,48,29,69,37,16,74,102,107,22,59,98,112,12,82,73,19,54,47,5,14,103,31,118,7,91,94,96,30,28,95,1
1: 21,10,38,24,108,44,93,23,39,85,120,86,6,62,18,67,53,36,17,9,52,83,45,110,92,61,46,84,88,72,105,58,20,81,65,76,49,113,13,56,89,8,41,64,11,43,87,97,80,25,71,40,3,101,33,119,66,15,51,2,42,117,34,115,106,35,75,50,26,78,114,69,77,104,100,99,63,68,32,116,4,109,27,73,79,111,55,29,70,48,16,22,57,74,37,90,102,112,98,60,82,54,14,107,103,59,47,94,5,7,12,118,19,91,28,31,96,30,95,1
1: 21,10,44,38,23,108,24,85,39,93,86,18,6,120,62,17,110,36,52,58,67,9,92,84,83,53,45,72,80,88,65,81,41,20,46,89,76,61,33,87,25,113,43,105,13,3,49,40,56,8,101,97,66,42,11,71,64,51,63,117,106,77,15,119,115,34,35,2,75,78,50,109,70,29,26,100,99,32,104,27,114,79,111,102,4,55,68,60,48,90,116,57,98,16,37,69,73,74,22,112,14,12,5,82,47,107,94,54,19,7,103,59,31,91,118,96,30,1,28,95
1: 21,10,24,38,39,44,93,108,18,62,23,6,120,85,36,67,83,9,110,92,84,53,45,86,52,72,76,88,81,13,61,80,89,49,46,33,25,97,56,71,3,64,17,15,20,105,58,65,87,34,40,43,42,119,8,51,2,77,117,101,113,11,115,41,66,100,109,26,63,106,104,32,68,75,50,35,78,114,29,116,99,27,102,111,70,57,48,69,37,55,79,74,4,22,5,112,59,82,90,60,107,19,12,98,94,73,14,16,54,91,47,103,96,28,7,30,118,31,1,95
1: 10,21,44,93,108,38,23,24,86,85,6,17,52,36,58,39,120,18,62,110,92,88,67,45,83,9,72,53,65,20,81,87,61,76,56,84,41,46,8,40,80,89,97,33,43,25,105,101,49,11,42,13,64,50,3,66,119,71,35,34,51,2,115,15,113,117,26,70,100,77,114,32,104,111,116,68,79,48,60,90,63,106,75,78,37,55,74,22,12,73,98,29,54,19,99,107,4,7,31,69,5,27,57,16,14,59,91,118,109,102,82,30,1,47,112,94,103,96,28,95
1: 21,10,38,44,93,24,23,108,85,39,86,6,120,52,67,18,36,53,62,17,45,110,9,83,88,84,92,61,72,58,46,56,76,81,105,65,20,89,49,97,87,113,8,64,80,11,41,25,40,13,43,33,42,71,101,3,66,2,34,75,115,51,26,50,117,119,15,106,35,78,114,63,100,77,109,32,68,99,116,104,70,55,79,111,4,48,29,69,27,60,57,22,90,37,74,16,98,102,73,107,112,54,12,19,82,59,5,47,118,7,103,14,31,91,94,28,30,1,95,96
1: 24,10,38,21,93,44,108,23,85,39,53,67,45,86,36,6,120,92,52,18,88,62,110,83,9,46,105,61,72,56,84,17,76,89,81,25,113,49,11,8,65,58,80,13,64,40,97,66,43,20,71,41,3,101,87,15,2,33,42,117,75,115,114,26,100,51,77,34,116,99,35,119,106,55,50,78,32,63,98,22,68,79,4,109,29,104,48,111,70,69,90,37,57,27,60,16,73,107,59,102,112,12,47,82,5,54,103,74,118,31,14,7,19,91,94,28,95,96,30,1
1: 21,10,38,44,24,23,108,93,85,86,39,36,52,6,18,67,120,17,92,62,53,9,45,83,110,72,88,81,65,61,58,76,56,84,87,46,20,113,105,80,89,25,33,43,40,97,8,101,49,64,41,13,11,75,71,42,2,115,63,34,119,78,3,50,106,66,35,100,15,51,114,117,32,26,104,77,68,99,116,69,111,4,27,70,29,57,16,79,98,48,102,22,60,90,82,73,55,107,47,37,74,112,5,59,54,103,109,12,14,7,94,31,118,19,91,28,96,30,95,1
1: 21,38,93,24,10,108,23,44,52,86,36,45,67,6,85,92,39,62,18,53,9,17,120,88,81,97,83,84,56,110,76,61,72,40,20,11,25,58,105,41,89,8,46,65,66,2,13,80,87,33,49,115,113,64,43,101,114,71,75,26,116,3,119,42,15,32,51,63,100,34,117,77,50,78,104,106,48,68,60,35,99,98,70,22,90,107,55,79,37,111,4,69,29,102,59,57,27,16,54,74,73,82,19,112,31,5,12,47,7,109,14,103,118,91,94,28,1,95,96,30
1: 24,93,21,38,10,67,86,108,45,44,53,85,39,23,46,36,88,120,17,6,92,105,61,72,65,18,52,110,9,83,8,81,84,62,66,113,75,87,41,56,89,49,25,11,40,114,101,80,71,58,43,20,15,76,3,64,99,97,42,13,26,50,119,33,116,117,77,2,22,35,111,34,100,78,115,32,79,4,55,73,37,29,68,106,70,63,98,48,90,57,103,27,51,12,60,104,112,109,59,102,16,69,31,7,95,107,54,47,5,82,28,118,91,74,19,14,30,96,94,1
1: 21,24,93,44,38,10,86,67,45,6,36,108,85,52,53,120,39,62,23,18,84,92,17,97,105,72,8,89,61,88,9,40,83,110,113,46,56,41,11,20,49,13,25,76,66,81,75,87,64,80,65,101,58,71,33,114,115,99,51,116,2,42,3,117,43,50,104,63,15,26,48,119,78,77,34,106,109,55,100,60,68,35,90,79,22,107,32,70,69,27,4,37,57,98,16,112,111,102,29,59,82,54,74,103,5,73,19,47,118,12,94,91,31,7,28,95,14,96,1,30
1: 23,21,93,10,39,108,44,38,85,120,24,6,52,62,53,86,83,36,9,110,67,76,92,72,45,18,89,46,113,8,84,88,81,13,26,11,58,80,64,43,49,97,3,20,66,71,25,51,56,117,33,61,15,105,42,40,41,115,2,114,65,17,100,87,34,79,106,68,116,119,55,35,32,101,50,75,48,37,77,4,104,63,99,22,54,29,14,98,70,78,73,69,74,109,16,59,118,111,27,102,112,57,60,103,107,94,31,7,12,90,30,91,1,19,28,5,82,96,47,95
1: 21,44,38,24,23,93,10,85,108,67,92,17,39,52,18,53,36,6,86,9,45,120,62,84,110,83,81,105,46,61,72,76,56,88,25,13,89,49,65,64,97,11,80,43,20,113,33,87,58,41,42,71,2,115,40,3,8,119,66,101,75,114,117,34,77,63,26,15,51,100,68,32,116,106,50,78,99,22,79,104,35,98,55,48,69,111,4,29,16,57,27,107,102,59,73,70,82,60,90,37,112,47,103,5,14,118,74,7,54,109,12,94,91,28,96,95,19,31,30,1
1: 21,38,93,10,108,24,44,85,23,39,6,52,18,67,86,36,62,110,120,45,53,92,84,9,83,17,61,46,72,88,81,56,76,58,65,97,11,89,20,80,49,25,105,64,43,33,13,40,8,87,113,41,3,42,66,2,101,71,51,117,119,26,75,34,115,63,114,15,50,77,78,106,100,68,35,116,32,79,55,104,99,70,4,22,111,48,69,29,98,27,60,37,57,90,109,16,102,107,59,82,73,112,74,14,5,12,118,54,47,103,94,19,31,7,91,96,28,95,1,30
1: 44,38,21,85,24,10,23,93,17,86,108,39,18,52,67,120,36,53,62,6,110,45,9,83,61,65,76,56,72,105,92,81,58,84,87,46,88,20,113,41,89,40,25,8,49,80,64,97,43,33,101,75,13,11,42,71,3,2,119,50,34,66,115,78,51,106,15,114,99,63,117,35,77,100,68,32,104,26,109,4,116,69,27,111,70,79,29,48,90,16,22,57,60,55,102,98,74,73,37,112,107,47,12,59,82,54,103,94,7,5,19,28,118,31,91,14,95,96,30,1
1: 21,24,44,38,93,10,85,23,108,67,52,86,39,18,17,53,45,6,36,120,62,84,110,9,105,46,61,92,56,76,83,81,72,88,97,49,13,65,64,89,20,58,113,25,11,41,87,40,8,80,43,71,66,42,101,33,3,2,75,115,114,117,51,77,34,26,119,15,50,116,78,68,106,63,100,32,99,104,35,55,79,109,48,22,70,4,111,60,90,69,57,27,107,16,98,29,37,102,59,112,74,82,5,73,12,54,47,19,118,103,91,7,94,31,14,28,95,96,30,1
1: 21,38,44,24,85,23,10,108,17,39,86,52,93,9,18,67,62,53,120,36,92,45,83,110,81,6,76,65,61,84,105,58,20,72,87,89,113,41,25,88,46,56,33,43,8,40,80,49,101,13,64,75,115,42,78,97,119,11,50,3,66,63,2,34,35,114,71,15,106,117,26,77,51,48,57,104,70,22,4,100,68,99,60,55,29,32,102,79,111,90,73,82,98,107,116,69,5,37,16,27,59,47,54,103,14,19,112,74,12,31,91,118,7,109,95,94,30,28,96,1
1: 23,44,21,93,10,108,39,85,6,38,24,52,120,62,110,83,53,36,46,9,86,72,45,89,88,67,84,13,80,76,92,49,97,18,58,8,11,113,25,81,51,61,56,3,26,43,64,66,20,115,71,117,2,41,33,105,40,65,17,42,15,114,34,87,79,116,68,100,106,35,101,77,119,55,32,50,70,75,37,48,29,63,98,99,4,104,14,22,59,73,118,54,78,16,74,57,111,60,102,27,69,7,107,109,31,90,112,82,12,94,103,91,30,19,1,5,28,96,47,95
1: 10,44,38,93,108,21,23,24,39,85,62,36,6,120,110,86,52,67,18,45,83,46,53,58,72,81,9,61,65,88,17,56,113,84,20,43,76,11,80,89,25,8,105,64,87,13,97,49,66,3,92,71,2,41,33,40,101,42,51,106,75,34,15,78,114,115,26,50,35,117,100,68,99,79,119,55,70,77,32,63,4,116,29,27,104,111,16,69,22,57,37,109,102,48,112,90,82,60,74,12,98,47,54,59,31,107,118,5,94,73,91,30,19,14,28,103,95,7,1,96
1: 21,24,44,38,93,85,10,23,67,108,39,53,52,18,45,6,86,17,36,84,92,110,62,46,9,105,120,61,81,83,72,56,13,76,49,64,97,89,25,88,11,80,65,20,3,66,43,113,42,2,117,71,115,41,33,114,58,8,77,40,87,26,75,15,116,101,51,119,34,68,100,79,32,22,63,55,106,78,104,99,98,50,48,35,69,4,37,107,59,70,60,90,111,29,102,16,27,57,118,82,73,112,54,5,47,103,109,14,74,94,12,7,19,31,28,91,95,96,30,1
1: 21,93,44,38,10,24,85,23,108,39,45,86,6,53,67,18,120,52,62,36,92,110,61,9,46,83,84,72,17,88,105,76,81,56,97,64,13,89,11,66,80,20,49,113,71,25,8,65,43,41,3,58,114,40,42,33,15,117,2,87,26,75,115,119,101,51,77,116,34,79,68,100,63,106,32,22,99,50,35,78,55,104,4,48,70,98,37,29,69,111,60,90,109,27,57,59,16,118,73,112,102,54,103,107,82,14,74,12,47,31,5,7,94,19,28,96,91,95,30,1
1: 21,24,44,38,10,93,23,85,108,52,86,18,92,67,39,36,6,17,120,53,45,62,9,110,83,61,84,56,81,76,105,88,72,46,65,20,49,89,25,97,80,64,13,33,113,87,58,43,11,40,41,8,42,101,71,2,119,115,75,3,66,34,117,63,114,51,77,100,15,78,32,50,26,68,106,116,35,99,104,111,98,69,22,55,79,4,57,48,27,70,29,16,60,102,90,73,107,82,59,47,103,112,37,74,12,5,7,54,14,118,109,94,19,31,28,91,96,95,30,1
1: 21,38,44,93,23,24,10,108,85,18,53,39,67,6,36,110,52,92,120,62,9,84,45,83,81,72,46,86,56,61,76,13,105,64,49,25,89,88,11,97,43,17,3,71,80,113,42,65,66,2,20,33,115,114,26,117,58,41,51,8,40,77,15,34,87,101,79,68,100,116,75,119,55,63,32,106,22,98,50,78,35,4,99,69,48,104,37,59,107,118,16,57,29,70,102,27,111,60,90,82,14,112,73,5,54,47,103,12,7,74,109,94,31,19,95,91,30,28,96,1
1: 21,44,38,24,10,93,85,23,17,108,52,67,86,18,39,36,53,6,120,45,62,9,110,84,61,83,105,46,76,92,81,56,72,65,88,58,25,89,87,49,20,113,13,41,97,64,80,40,11,43,8,33,101,42,71,75,2,115,3,66,34,117,114,77,15,50,78,119,51,26,100,68,106,116,32,63,35,104,99,79,111,55,48,70,4,109,22,69,60,90,27,57,29,16,102,107,98,82,74,37,59,112,47,5,73,12,54,19,103,118,7,94,91,31,28,14,95,96,30,1
1: 21,93,10,38,24,85,108,44,39,23,6,45,92,36,110,86,67,83,66,120,11,81,18,72,61,9,43,53,52,62,56,84,88,46,3,89,80,25,13,8,58,105,97,26,20,17,64,49,65,33,71,15,114,41,2,40,76,117,42,87,119,113,34,101,22,51,116,115,79,32,98,63,100,68,55,35,50,75,14,106,77,29,70,37,78,99,73,48,90,59,112,104,118,27,107,16,111,4,102,7,12,57,54,69,31,82,109,47,30,96,103,74,60,5,19,94,91,1,95,28
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1: 24,21,38,10,6,93,23,85,18,108,44,92,67,39,62,36,86,120,53,52,9,45,84,83,110,56,17,49,88,97,61,11,43,105,13,81,72,46,76,25,65,101,89,58,80,64,87,20,3,71,33,40,41,8,2,66,119,42,15,100,34,113,77,115,51,32,106,116,26,63,104,117,78,75,27,114,35,50,99,68,74,69,79,16,111,29,98,4,55,57,70,73,82,102,112,22,47,60,90,54,48,7,37,59,14,5,12,103,118,94,107,109,19,28,31,96,91,30,95,1
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1: 93,10,23,108,38,21,6,39,36,44,85,92,24,110,52,72,86,83,45,81,67,66,120,53,62,97,46,11,18,43,8,80,88,89,58,25,71,61,26,9,33,56,115,3,15,84,13,20,49,87,114,64,17,2,76,42,65,100,119,105,51,22,34,101,117,40,116,35,50,98,63,14,41,68,79,32,55,106,77,37,113,70,29,48,104,73,59,107,7,12,75,74,102,27,30,90,78,99,118,111,112,82,54,4,69,16,96,57,94,91,5,60,103,47,19,31,1,109,28,95
1: 21,24,38,44,10,23,93,86,108,85,18,17,67,36,120,39,9,52,92,6,58,53,88,65,62,81,83,110,72,61,45,56,87,84,76,101,20,80,40,46,105,41,113,89,33,8,43,75,25,119,49,78,97,13,50,64,42,99,11,63,34,109,106,100,3,71,66,111,2,77,32,27,15,35,51,115,69,29,68,104,70,117,114,4,102,57,116,60,26,16,79,90,74,48,112,47,82,73,22,98,12,37,55,7,103,94,5,107,19,28,31,59,54,91,96,14,118,95,30,1
1: 44,24,85,38,93,21,46,53,10,108,39,67,84,105,23,92,18,110,9,52,61,13,81,64,6,45,117,36,3,49,62,72,120,76,56,83,89,25,80,15,66,42,71,2,77,17,115,86,79,68,11,114,26,41,43,116,97,88,65,119,22,51,20,34,33,8,32,113,55,98,101,40,58,75,100,118,87,99,106,29,73,50,48,63,59,112,35,104,37,111,4,14,103,27,107,78,69,57,102,90,16,70,7,12,47,82,60,54,5,74,96,109,94,95,28,91,31,19,30,1
1: 44,21,38,17,24,10,93,23,108,85,86,36,18,52,67,120,58,88,92,61,87,83,39,9,65,45,72,56,53,81,41,6,40,62,113,110,20,76,101,8,75,105,46,84,78,80,33,50,63,119,43,89,64,111,97,25,35,106,42,99,34,49,100,71,27,32,13,109,2,70,3,69,11,114,77,66,15,4,16,29,68,90,57,60,115,102,117,51,104,116,47,112,82,12,79,22,98,26,48,74,73,37,103,7,55,19,5,107,94,59,31,54,28,96,91,95,118,30,14,1
1: 21,10,24,38,93,44,85,23,108,39,6,86,52,67,18,120,36,62,17,45,53,110,9,61,83,92,88,76,84,65,56,72,105,46,58,81,113,20,97,89,41,87,49,80,64,25,13,43,11,40,8,33,101,71,42,3,75,66,2,34,115,114,78,50,117,51,119,63,106,15,26,35,68,77,100,109,32,99,104,4,79,116,70,55,60,111,27,69,29,48,90,57,16,22,102,98,37,107,82,74,73,112,12,59,5,19,54,47,103,94,118,31,91,7,14,28,95,96,30,1
1: 21,10,44,93,39,108,38,23,6,85,24,110,120,62,52,18,46,36,86,88,83,45,67,61,72,53,20,76,9,92,84,58,80,56,17,49,81,97,65,89,8,43,33,64,66,3,40,11,113,25,101,42,51,13,87,105,100,71,75,34,41,117,106,15,2,50,109,119,63,35,114,4,70,68,79,99,78,115,27,26,16,90,29,111,104,57,32,37,74,116,69,60,77,102,112,48,47,22,12,82,55,54,94,73,103,7,98,19,31,30,118,96,5,14,59,91,107,1,28,95
1: 93,10,21,24,38,44,85,108,39,92,23,45,36,67,46,83,6,81,86,18,61,9,72,53,17,120,88,89,43,110,66,11,25,84,80,3,56,52,58,13,62,49,64,71,8,105,41,97,115,76,15,26,114,65,2,20,33,113,40,117,42,79,87,77,34,51,119,98,68,101,22,100,32,55,116,63,50,14,106,70,35,29,37,99,75,78,90,73,48,112,104,27,12,118,16,82,109,111,59,69,4,31,60,102,47,7,54,74,30,103,96,57,107,5,94,19,91,1,28,95
1: 21,24,38,93,44,10,23,85,52,108,39,67,18,6,53,86,45,36,92,62,110,84,9,120,61,46,17,83,105,81,56,76,13,97,72,88,49,64,89,11,25,20,80,65,43,113,3,117,66,33,42,2,115,58,71,40,41,8,87,114,77,101,75,26,51,119,15,34,116,68,32,100,79,63,78,55,106,22,104,99,50,98,48,35,69,4,70,60,107,111,37,90,27,59,102,57,29,16,82,109,118,5,73,112,54,103,47,14,74,94,12,19,31,7,91,95,28,96,1,30
1: 21,24,38,93,10,44,108,52,67,6,85,39,23,86,18,45,53,36,62,120,17,84,110,46,105,9,92,61,56,76,97,72,88,83,13,49,11,81,25,64,89,65,20,80,58,113,40,87,41,66,71,42,8,43,2,101,3,115,33,114,117,75,15,77,26,116,51,34,68,119,50,78,55,32,104,106,100,63,35,79,48,99,22,60,70,111,109,90,4,107,29,57,69,27,102,37,16,98,59,5,82,112,12,19,73,74,54,47,118,103,91,31,7,14,94,95,28,96,1,30
1: 21,24,93,38,10,44,108,52,6,67,85,39,23,86,18,36,45,53,120,62,17,84,92,46,9,105,110,72,56,97,11,61,76,88,13,49,83,81,25,64,65,89,20,87,80,58,66,2,40,71,113,41,101,43,3,8,42,116,115,15,114,33,51,117,75,26,77,119,68,100,34,32,50,99,104,35,55,78,63,98,106,22,79,109,48,4,60,111,29,69,107,90,27,70,59,57,74,102,37,73,54,12,16,82,5,112,19,118,103,7,47,94,28,31,14,91,95,1,30,96
1: 21,24,38,23,44,10,85,108,93,86,17,18,39,52,67,36,9,120,62,110,53,92,6,81,58,45,56,83,65,76,84,72,88,61,20,46,87,105,80,41,40,89,113,25,33,101,13,43,8,49,97,64,63,119,75,78,42,11,3,71,34,106,115,50,2,109,117,66,35,77,15,51,32,99,100,104,114,111,27,70,102,60,68,26,29,4,90,69,79,48,116,57,55,16,98,82,22,107,74,37,112,73,19,47,5,12,103,94,59,54,7,14,91,31,118,96,28,1,95,30
1: 10,108,44,21,38,39,6,93,23,62,24,120,110,52,85,36,72,86,83,45,46,58,53,84,89,67,92,18,97,9,88,80,11,66,13,76,49,25,51,61,81,43,3,26,56,17,71,8,20,64,33,113,42,2,65,115,117,15,105,40,41,87,114,79,34,116,101,100,106,119,55,77,68,35,50,37,75,70,104,32,22,98,63,48,4,29,54,14,99,78,118,16,57,109,73,27,59,69,102,90,60,74,107,111,82,112,31,94,12,5,30,103,47,7,1,96,19,91,95,28
1: 44,21,24,38,93,10,108,23,85,17,52,18,67,86,36,53,120,39,6,62,45,9,84,46,72,92,110,76,105,81,61,83,56,13,88,58,87,65,20,113,49,97,41,40,80,11,64,25,89,3,2,8,42,101,71,75,66,43,33,115,119,117,114,15,51,77,34,100,32,68,99,26,116,50,78,35,104,106,63,109,79,55,70,48,4,111,60,69,90,22,27,57,29,102,107,98,16,37,74,59,112,73,82,12,5,19,47,54,103,118,7,91,31,94,14,95,28,1,96,30
1: 21,38,44,24,10,93,23,108,85,39,6,53,67,52,18,120,62,110,84,45,46,92,36,9,86,83,61,13,105,17,81,72,76,49,64,97,11,56,89,25,88,80,43,66,3,117,71,42,65,20,113,2,114,33,26,58,115,41,8,51,77,15,40,68,34,79,87,116,101,119,100,75,32,55,22,63,106,104,50,98,78,48,35,99,37,70,4,59,69,118,29,60,90,16,107,27,14,57,111,54,102,73,82,112,109,5,103,47,74,94,12,31,19,96,7,91,95,28,30,1
1: 24,21,38,85,10,23,108,67,44,39,92,6,18,9,62,93,52,86,53,45,36,120,84,110,83,25,89,105,81,76,17,46,61,88,49,13,11,65,56,33,72,43,80,97,115,20,71,64,87,66,101,58,2,113,3,42,41,40,8,15,26,34,117,77,51,75,119,63,114,55,32,104,98,116,22,106,35,68,78,100,48,50,99,79,73,107,29,59,102,14,4,69,5,57,60,70,37,82,111,27,90,54,16,103,74,118,112,47,109,91,12,7,19,31,94,95,28,30,96,1
1: 10,38,93,21,23,85,44,24,108,6,52,39,120,18,45,62,67,86,110,36,53,92,84,61,9,76,83,17,81,97,46,56,88,72,11,105,13,64,80,89,25,66,43,20,49,3,71,65,42,58,114,33,113,8,41,117,26,2,40,87,115,15,77,51,101,68,119,79,34,116,75,100,32,50,63,22,106,104,35,78,55,48,99,37,98,70,4,69,60,29,90,109,111,59,118,27,16,57,73,54,102,107,14,82,112,74,5,47,103,12,94,31,19,7,96,91,28,95,30,1
1: 21,44,24,38,10,93,85,108,23,67,53,36,6,45,86,39,52,18,92,84,105,17,120,62,46,9,72,61,83,110,49,97,13,81,88,89,56,76,64,11,25,65,20,66,41,80,8,71,40,117,113,3,114,115,2,43,33,42,87,77,101,51,26,58,75,116,15,119,34,68,79,100,32,63,104,22,55,48,106,99,78,98,50,107,35,37,69,4,59,70,90,60,16,27,111,102,29,118,57,109,82,54,112,5,73,47,14,103,94,74,12,7,19,31,91,28,96,95,30,1
1: 10,108,6,21,93,39,44,38,24,23,85,36,52,120,62,110,53,84,67,72,86,45,46,92,83,89,11,80,58,18,97,13,49,61,88,66,51,9,43,71,81,64,76,26,56,25,3,65,8,17,20,113,117,33,2,105,42,40,115,15,101,114,41,79,55,87,116,34,35,77,100,119,68,50,106,37,63,75,104,48,32,98,22,4,70,29,14,118,99,78,54,109,73,27,57,74,60,16,90,59,111,69,102,82,31,107,112,5,12,96,103,94,47,30,19,7,91,1,95,28
1: 21,44,10,93,108,38,24,6,85,39,23,36,53,52,67,45,86,84,120,62,92,110,18,72,46,83,89,61,97,9,49,13,11,88,17,81,105,80,76,64,56,25,66,71,65,43,58,20,8,3,51,113,117,26,2,33,40,42,41,115,114,101,87,15,77,79,116,34,119,68,75,100,55,63,106,50,104,32,35,48,22,37,98,99,78,4,70,29,118,60,90,59,27,16,69,107,109,57,54,14,111,73,102,82,112,74,5,47,103,94,12,31,96,7,19,91,28,30,95,1
1: 21,10,38,44,93,108,24,23,39,85,6,120,62,52,53,110,18,67,45,86,36,84,46,92,9,83,61,72,76,13,11,97,81,89,88,64,49,17,66,56,80,105,43,3,25,20,71,58,113,65,42,117,26,8,33,2,51,114,41,115,15,40,87,79,34,77,68,101,119,116,100,75,55,106,63,50,22,32,104,35,78,37,48,70,98,99,4,29,118,69,59,60,90,16,54,27,14,109,57,107,73,111,82,102,112,74,5,94,103,31,47,12,19,96,7,91,30,28,95,1
1: 21,44,38,23,93,24,10,108,85,39,53,52,6,67,18,62,120,86,45,110,36,84,92,9,46,83,61,13,105,72,81,76,49,64,56,89,17,97,11,88,25,80,43,113,3,117,20,71,66,42,115,65,26,58,33,2,8,114,41,51,40,15,77,34,68,87,116,79,119,101,100,75,55,32,106,22,63,50,104,99,48,98,78,35,37,4,70,69,59,29,60,16,111,118,90,107,27,57,102,54,14,73,109,112,82,74,5,103,47,94,12,31,19,7,91,96,28,95,30,1
1: 21,38,10,24,44,108,23,39,85,6,93,67,18,120,62,53,110,36,52,84,45,92,86,46,9,83,61,13,17,81,64,105,49,89,72,56,11,25,76,97,43,3,66,26,117,20,65,58,41,88,42,113,71,80,2,115,8,51,114,40,119,15,77,98,87,34,101,79,68,116,33,48,100,75,32,55,63,106,107,22,50,37,35,104,99,70,4,69,29,60,90,59,78,57,111,16,118,102,14,54,73,109,82,27,112,5,91,103,47,96,94,12,74,31,95,19,7,30,28,1
1: 21,93,24,10,38,23,108,44,39,6,85,52,18,67,86,53,120,62,36,45,110,92,9,84,61,83,46,88,56,81,105,13,97,76,11,64,17,72,49,89,25,43,20,3,113,66,80,117,71,65,8,33,58,42,114,41,2,115,40,26,87,77,51,101,34,75,68,119,79,15,116,100,32,55,63,106,22,50,78,99,35,104,48,98,4,37,70,69,107,60,29,90,111,59,16,57,27,102,14,118,109,73,82,54,5,103,112,47,12,94,31,19,74,91,95,7,96,28,30,1
1: 10,108,21,44,93,38,120,39,6,24,62,23,52,85,67,13,110,86,84,46,53,11,92,89,97,18,80,66,9,88,45,72,76,8,83,56,58,36,25,26,71,61,43,81,20,64,33,17,42,49,3,79,117,2,113,51,65,41,114,40,115,34,15,100,101,119,105,77,116,106,22,75,68,87,37,50,35,98,55,63,48,70,104,32,99,29,4,78,109,14,73,54,57,74,107,118,90,69,82,59,27,16,112,111,60,102,12,47,103,31,1,94,5,19,96,30,7,28,91,95
1: 21,24,93,23,38,10,44,85,108,18,67,86,17,36,53,52,39,81,110,9,120,6,72,92,45,61,83,56,58,62,46,84,65,87,105,20,88,40,76,33,8,80,41,25,43,89,97,42,34,64,50,75,119,101,49,113,71,13,3,63,78,15,32,66,11,111,35,2,106,70,115,117,114,68,26,116,27,100,77,51,69,102,79,99,29,90,16,104,60,47,22,55,112,48,12,82,98,107,109,74,7,4,57,73,19,37,103,94,5,59,31,91,96,54,28,30,118,14,95,1
1: 10,44,21,93,108,38,23,39,6,120,24,85,62,52,110,53,45,36,46,86,67,72,88,83,84,58,76,18,97,11,89,13,80,49,66,61,71,25,56,92,20,9,17,8,3,64,81,51,113,42,105,26,2,40,43,115,65,117,114,41,33,15,101,87,109,34,50,116,35,79,77,75,37,104,106,55,119,68,48,100,4,70,74,22,78,32,99,63,29,57,54,98,27,111,102,73,14,90,16,118,69,60,107,12,7,59,82,112,30,5,31,103,94,47,91,28,19,96,1,95
1: 21,44,10,38,93,24,23,17,86,108,85,52,36,18,67,39,120,6,58,65,83,87,61,62,88,92,56,53,9,110,45,81,76,113,20,72,41,40,84,101,105,8,80,46,75,33,78,43,119,97,64,89,25,50,63,106,49,42,13,34,11,100,35,2,71,111,3,115,99,32,69,27,114,104,66,68,117,77,15,70,4,51,57,16,60,102,29,90,116,26,109,82,79,48,47,112,22,74,12,55,98,107,37,73,19,5,103,94,7,59,54,31,28,91,96,118,14,95,30,1
1: 21,44,38,24,85,23,93,10,108,67,39,17,18,53,52,6,36,92,84,86,45,9,110,62,46,105,120,61,81,83,13,72,56,76,49,64,25,89,97,88,11,65,3,80,117,42,43,20,113,2,41,71,115,66,58,33,77,114,40,87,8,26,51,101,119,68,34,15,75,116,79,100,32,63,22,55,106,78,98,104,50,99,48,35,69,107,37,70,60,59,90,4,102,16,29,27,111,109,57,82,118,112,5,73,47,54,14,103,94,74,12,19,7,31,91,96,28,95,1,30
1: 21,10,44,24,38,23,93,108,120,39,85,36,67,6,53,18,62,52,17,86,9,72,92,45,83,84,110,46,76,81,80,56,105,88,58,61,49,89,13,33,71,43,97,20,87,40,65,25,64,8,41,113,42,11,15,34,115,2,101,51,100,117,3,32,50,66,75,114,119,78,68,77,106,35,63,26,109,104,70,116,111,79,55,99,27,29,60,48,102,4,90,98,69,57,16,74,107,37,59,12,22,82,73,112,47,19,54,7,14,5,94,103,31,118,91,28,30,1,96,95
1: 21,44,24,38,93,23,85,67,10,108,39,17,52,53,18,6,45,36,84,86,92,46,105,110,62,9,120,61,81,13,83,72,56,49,76,64,97,25,89,11,88,43,42,2,65,117,80,115,3,20,66,41,71,114,113,33,58,8,26,40,77,87,51,116,101,68,34,75,15,119,100,79,32,55,22,63,106,104,78,48,98,50,99,69,35,107,59,37,70,4,16,60,111,90,27,102,29,118,57,82,5,112,54,73,47,14,109,103,74,94,12,7,91,19,31,96,28,95,30,1
1: 21,10,24,93,44,38,108,85,39,23,6,120,86,62,52,45,67,53,36,110,18,17,84,72,46,9,61,83,76,89,88,97,11,113,92,58,105,13,56,49,65,81,64,20,25,66,80,41,71,8,43,3,87,40,42,33,51,2,101,26,114,115,75,117,15,34,50,109,106,68,77,35,119,79,63,78,55,116,104,99,100,70,4,32,48,60,90,29,22,37,27,57,69,111,16,98,107,73,74,82,54,112,59,12,102,5,19,118,31,103,91,14,94,47,7,28,95,96,1,30
1: 21,44,24,38,93,10,67,23,53,108,85,6,39,36,52,18,86,45,84,92,105,17,46,61,9,83,62,72,120,110,49,13,81,97,89,88,56,25,11,64,76,117,66,41,115,80,65,43,33,20,2,114,8,113,3,71,40,42,87,26,101,77,51,58,75,116,68,34,15,119,100,79,32,55,22,63,104,48,106,98,78,50,99,35,107,69,37,59,4,60,70,90,16,111,102,27,57,29,118,54,5,82,73,112,109,47,14,103,74,94,12,19,7,31,91,96,28,95,30,1
1: 21,24,44,38,10,23,93,85,108,67,39,17,52,18,86,53,6,92,36,45,62,120,9,110,84,83,46,61,81,105,56,76,72,88,49,25,89,13,65,58,97,20,64,80,113,11,41,33,43,87,40,42,71,8,101,115,2,66,3,117,75,119,34,114,51,77,63,32,26,15,78,100,68,106,50,116,35,55,99,104,109,79,48,22,98,111,70,69,4,60,90,27,29,107,57,102,16,59,37,73,82,112,5,74,47,103,54,12,118,14,19,91,7,94,31,28,96,95,30,1
1: 21,44,24,10,38,93,108,85,23,67,86,36,53,6,45,18,52,17,39,92,120,105,84,62,72,9,83,61,88,46,110,89,97,81,49,76,56,65,25,13,41,8,113,40,20,64,11,87,80,33,58,101,71,75,43,66,115,3,2,42,114,117,51,77,34,26,119,15,63,100,78,116,104,99,32,68,106,50,79,48,35,55,22,4,69,70,98,60,90,27,109,111,16,107,57,29,102,37,59,82,112,47,5,54,73,74,118,103,94,12,14,19,7,91,28,31,96,95,30,1
1: 38,44,21,93,24,10,23,108,52,85,67,6,39,86,36,18,53,45,17,120,62,9,92,83,84,110,61,81,105,56,88,46,76,72,97,49,89,25,11,20,13,65,64,43,58,40,80,33,41,87,8,115,2,113,71,66,42,101,114,34,117,3,75,51,26,100,32,15,119,116,77,50,68,63,78,104,106,55,35,99,48,79,22,60,70,111,98,90,69,107,29,4,57,27,102,16,37,59,82,74,112,5,54,12,73,19,47,118,103,14,31,7,91,94,95,28,96,1,30
1: 21,44,93,23,10,24,38,17,85,108,36,52,18,9,86,67,92,81,39,45,120,53,46,6,61,76,110,58,83,72,56,84,62,88,64,43,25,71,105,80,89,8,66,40,3,97,41,20,11,42,13,65,87,119,33,101,75,49,115,32,114,34,50,2,22,26,113,51,116,68,63,100,15,117,106,79,98,90,77,70,111,104,78,35,60,107,27,74,29,55,48,102,14,16,69,47,59,82,37,112,94,99,4,73,12,57,54,19,7,30,103,96,5,31,118,95,91,1,28
1: 38,24,44,21,93,85,10,108,23,67,53,36,86,45,39,18,92,61,17,72,110,83,46,120,9,6,65,52,56,81,88,41,105,87,62,58,84,89,76,43,113,80,20,25,49,101,75,33,8,40,3,64,66,119,50,63,42,2,99,78,13,71,34,100,106,97,15,35,114,117,11,77,32,115,111,29,27,51,79,4,26,68,98,90,70,55,102,69,22,16,116,60,112,57,12,47,73,37,48,103,82,7,104,107,59,31,74,5,14,19,96,118,28,94,91,95,54,30,1
1: 21,24,38,10,93,44,39,23,108,85,6,53,52,67,62,92,36,110,120,18,45,46,84,86,9,83,72,13,49,61,81,89,56,105,88,97,76,25,11,80,64,17,113,43,65,66,3,20,2,58,71,42,115,33,8,51,117,26,87,41,101,114,40,34,15,75,119,55,116,100,68,50,77,35,63,79,32,106,98,4,22,99,104,78,48,57,111,107,73,29,37,70,59,14,102,69,60,27,118,74,16,90,103,12,7,54,82,112,5,91,31,47,30,95,19,94,28,96,1
1: 93,10,24,38,85,44,6,108,21,39,45,86,23,36,92,120,83,11,61,66,110,72,18,88,3,43,56,9,67,15,62,80,81,53,8,20,84,89,58,40,52,97,46,13,25,87,26,105,71,114,17,49,65,76,41,64,2,101,113,33,75,119,115,98,117,42,35,70,116,22,99,63,50,68,55,34,51,90,79,32,37,14,29,48,106,100,78,77,104,73,31,27,59,103,118,60,112,4,7,57,54,111,12,16,30,82,102,47,74,69,96,1,107,19,94,91,5,95,28
1: 21,93,10,44,23,38,24,108,17,86,85,36,58,120,18,39,52,6,67,45,110,62,83,81,53,72,92,88,61,87,56,65,9,40,41,80,8,20,76,46,113,84,33,50,101,97,105,89,25,75,119,42,64,43,49,71,13,63,35,11,34,78,106,3,100,66,70,99,32,111,2,27,115,15,51,114,117,68,29,69,104,4,90,102,77,57,16,60,26,116,79,74,48,82,112,12,47,22,19,37,55,73,98,7,94,103,107,5,54,96,59,31,91,28,14,30,118,1,95
1: 21,44,24,38,93,10,23,85,108,52,67,39,86,6,36,18,53,45,120,92,17,62,9,84,110,61,83,46,81,72,105,88,76,56,97,89,13,49,64,25,80,11,20,65,58,43,8,40,71,41,113,66,87,33,3,42,101,115,2,114,75,117,119,51,34,26,15,77,116,100,32,63,68,50,106,79,78,104,22,35,55,99,48,98,70,60,4,111,90,69,29,27,37,107,16,57,102,59,82,112,74,73,54,47,118,14,5,12,103,94,19,7,31,91,96,28,95,30,1
1: 21,93,6,10,39,24,108,23,38,62,110,85,53,86,120,52,67,45,44,18,46,92,11,97,84,36,49,66,9,13,56,72,43,61,81,88,64,83,76,105,26,80,3,65,42,71,58,8,15,89,20,116,17,2,87,41,113,79,33,68,114,100,40,119,117,35,25,34,101,77,51,50,106,22,55,73,32,75,37,74,14,115,104,118,29,63,57,98,4,70,54,12,30,99,27,48,5,111,69,112,103,78,60,7,94,28,107,19,102,59,82,1,16,95,91,96,47,31,90
1: 21,93,10,108,120,36,38,9,44,52,85,23,45,18,97,56,81,6,92,39,43,83,67,13,24,105,42,17,84,53,110,61,76,64,3,49,46,2,117,80,62,113,55,65,87,86,20,88,71,8,40,77,4,101,66,50,114,79,48,68,25,37,89,99,75,34,115,72,33,111,100,63,69,106,78,119,22,15,118,11,26,32,116,59,58,14,41,35,104,51,60,73,57,91,107,90,70,16,82,54,102,27,5,31,19,12,112,103,95,29,7,47,74,96,30,28,1,94,98
1: 93,10,21,23,108,38,39,24,6,36,44,85,53,92,86,120,62,67,110,52,97,18,46,45,13,83,66,88,26,58,9,72,71,49,84,81,61,89,80,43,11,3,64,76,33,42,8,15,25,20,119,117,2,51,56,114,17,115,105,113,87,41,65,40,35,100,68,22,50,116,34,55,101,63,79,106,77,29,37,32,98,75,70,14,104,4,118,48,99,54,107,74,111,73,78,27,69,82,112,16,59,94,7,90,57,102,31,5,103,30,12,96,91,60,19,1,47,28,95
1: 21,24,44,38,10,93,23,85,86,17,108,52,18,67,36,39,120,6,53,62,45,9,92,110,83,61,56,58,88,76,65,84,81,72,105,87,20,46,41,40,113,80,25,89,101,49,33,97,8,64,43,13,75,11,42,71,119,50,34,78,2,3,115,63,66,35,106,32,117,100,77,114,51,15,99,68,104,111,26,70,27,116,69,60,90,29,4,48,79,57,102,55,16,22,98,82,107,74,112,12,37,47,19,5,73,59,54,103,7,94,91,31,118,14,28,95,96,1,30
1: 21,24,10,38,93,6,23,44,39,85,120,108,36,18,62,92,52,67,86,110,83,45,53,9,88,84,97,61,17,80,46,89,49,81,8,65,64,72,87,56,101,25,105,11,20,76,43,58,41,113,13,33,40,66,71,119,42,115,2,3,117,51,63,104,26,50,15,35,75,100,114,34,106,68,99,77,55,32,116,79,102,74,37,29,4,57,98,27,111,73,48,70,78,22,69,59,54,12,60,90,107,82,7,16,47,118,112,14,103,94,5,19,30,31,96,91,1,28,95
1: 38,44,21,93,10,24,108,85,23,39,67,6,53,45,92,52,18,120,36,62,110,86,84,46,9,61,105,83,72,17,81,76,11,49,13,97,89,64,56,88,58,25,66,43,80,20,71,3,113,114,42,65,41,2,8,26,33,117,119,115,51,15,40,87,34,77,68,116,75,79,100,63,101,22,55,32,106,50,98,35,104,99,4,48,78,37,70,69,59,111,118,29,73,107,57,27,16,90,60,14,54,102,112,103,82,47,5,74,12,7,94,31,91,96,95,19,28,30,1
1: 21,93,10,108,24,23,38,44,6,85,36,53,92,39,110,9,83,67,18,120,86,84,72,45,52,62,17,65,88,58,46,61,76,43,87,80,89,49,56,105,20,8,33,97,81,113,101,13,25,11,40,64,71,41,2,3,42,66,50,34,115,75,35,51,15,117,104,106,100,77,63,114,26,68,119,70,78,57,32,29,99,79,4,55,90,27,60,116,48,22,74,111,69,82,102,16,98,37,47,54,73,112,107,12,5,59,94,19,103,31,14,118,7,91,30,1,96,95,28
1: 21,24,38,10,44,23,93,85,108,86,67,18,52,39,17,36,53,6,120,62,45,9,92,110,83,84,61,56,76,105,88,81,65,58,72,46,87,20,25,89,41,40,49,80,13,101,97,33,113,64,43,8,11,71,42,75,115,34,2,3,50,66,78,119,117,63,51,15,77,32,35,114,106,100,68,104,26,99,116,111,70,55,60,48,27,79,69,29,90,4,102,22,57,16,98,107,82,74,37,112,5,12,59,73,19,47,54,103,7,91,94,31,118,14,28,95,96,1,30
1: 21,10,38,44,23,108,93,85,24,6,36,18,120,86,39,52,67,83,92,17,72,58,62,110,53,45,9,81,61,76,46,88,65,20,87,80,84,56,43,40,105,8,13,3,33,113,97,89,25,49,41,64,11,2,101,42,71,51,50,114,100,63,115,119,15,34,26,117,106,75,68,35,66,70,32,116,4,79,77,78,104,98,99,74,73,29,16,111,27,55,102,112,37,69,22,48,57,14,107,60
1: 21,38,44,93,10,108,23,24,85,39,6,18,52,36,67,92,110,53,62,120,83,9,45,86,61,56,81,17,72,76,84,89,46,65,88,43,33,25,49,58
1: 21,24,93,38,23,10,44,108,85,36,18,67,39,86,53,52,120,92,17,9,110,72,6,81,45
1: 21,93,24,10,38,23,44,108,36,85,67,18,53,39,86,92,52,9,72,81,110,6,17,120,56
1: 21,93,24,23,38,10,44,108,85,36,18,67,52,53,86,39,17,9,92,120,81,110,72,6,83