# FILE NAME: 00054-00000755.soc
# TITLE: Football 2008-12-08
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00054-00000755.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 119
# NUMBER VOTERS: 110
# NUMBER UNIQUE ORDERS: 109
# 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: 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: Northwestern
# ALTERNATIVE NAME 33: Southern Miss
# ALTERNATIVE NAME 34: Purdue
# ALTERNATIVE NAME 35: Indiana
# 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: Oregon St
# ALTERNATIVE NAME 45: Kansas
# 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: Clemson
# ALTERNATIVE NAME 110: Memphis
# ALTERNATIVE NAME 111: E Michigan
# ALTERNATIVE NAME 112: Troy
# ALTERNATIVE NAME 113: Washington St
# ALTERNATIVE NAME 114: Nebraska
# ALTERNATIVE NAME 115: Stanford
# ALTERNATIVE NAME 116: Vanderbilt
# ALTERNATIVE NAME 117: Duke
# ALTERNATIVE NAME 118: Navy
# ALTERNATIVE NAME 119: Cincinnati
2: 108,36,39,72,88,93,49,83,58,24,119,42,85,23,15,18,8,64,79,89,43,106,44,6,38,86,114,61,55,97,68,32,109,100,3,10,45,13,101,77,76,118,80,29,20,7,62,56,21,81,116,87,63,16,22,14,70,66,17,41,84,37,2,46,112,50,9,115,67,107,117,60,53,52,71,34,51,90,25,33,96,54,11,78,75,105,40,74,47,110,59,57,103,92,82,104,73,35,31,95,4,65,27,91,94,113,98,102,19,111,99,5,48,1,12,26,69,30,28
1: 108,93,36,39,49,83,72,88,58,24,6,89,119,8,23,44,43,15,38,106,97,114,86,55,42,100,32,10,66,85,18,79,45,64,13,29,7,101,20,87,112,61,21,80,76,118,68,81,62,14,109,63,116,115,3,16,70,84,22,41,52,77,50,67,46,17,107,9,37,53,2,56,78,11,60,51,33,96,71,103,57,47,75,54,25,34,74,90,82,95,40,110,92,105,117,73,4,59,91,27,104,31,65,35,99,113,94,98,102,26,111,19,5,48,12,30,69,1,28
1: 108,36,39,72,93,83,49,88,58,89,8,24,38,23,42,64,114,85,6,79,18,43,44,119,109,15,55,97,100,61,86,45,106,68,32,10,13,77,3,56,21,66,80,76,118,81,20,116,62,117,107,22,70,87,101,29,7,14,2,9,16,84,67,115,17,52,46,53,50,41,63,37,112,51,34,60,25,78,33,11,54,71,92,96,40,105,47,90,82,74,110,59,73,31,103,75,57,98,35,104,65,27,95,4,5,91,102,94,48,111,19,99,113,26,12,69,30,1,28
1: 108,88,36,39,72,49,58,83,93,24,8,119,23,15,43,42,89,86,38,85,64,18,114,79,106,32,6,61,55,44,100,10,68,45,20,97,109,13,3,118,76,29,80,77,101,21,81,7,62,116,87,14,63,37,56,70,22,16,84,2,41,46,17,112,66,9,67,50,60,107,117,54,53,51,34,71,25,115,90,40,78,52,105,33,96,75,104,92,11,59,47,74,110,57,82,103,35,31,73,95,27,4,65,91,98,19,94,48,111,5,99,102,113,1,12,69,26,30,28
1: 93,108,8,39,83,36,72,58,49,50,23,87,44,114,89,38,6,9,55,70,24,88,62,66,100,106,112,81,97,21,80,15,119,64,110,45,86,33,76,57,42,13,18,46,40,43,109,34,29,78,96,67,20,10,85,103,7,71,101,61,107,32,115,118,22,82,63,111,41,53,68,27,94,17,37,3,56,16,84,75,52,11,104,19,102,12,116,4,92,79,74,95,105,60,14,90,31,91,2,77,35,73,54,51,47,98,5,25,117,69,59,65,28,99,30,26,48,1,113
1: 39,93,83,108,58,36,49,88,24,8,72,106,100,38,15,89,119,6,64,23,42,97,43,18,55,44,85,79,86,109,10,114,32,80,61,68,66,118,76,29,62,45,13,112,81,87,20,101,3,7,21,16,77,9,22,116,14,63,50,70,96,115,84,34,67,107,33,78,56,52,41,117,53,17,51,46,47,37,2,60,57,71,82,40,75,110,103,74,92,25,54,90,11,27,95,73,4,105,59,94,35,31,65,111,91,102,98,99,104,19,5,69,48,30,12,113,1,26,28
1: 108,36,72,88,39,49,93,58,83,119,24,8,42,23,85,89,86,18,64,79,15,43,38,6,114,44,68,106,61,109,10,55,32,97,3,45,77,13,100,56,20,76,118,101,80,21,62,29,7,81,117,116,87,70,2,17,22,63,37,14,16,41,46,66,84,50,107,60,115,9,67,112,53,51,54,90,52,25,71,34,78,40,33,11,105,59,96,47,74,75,92,82,104,110,31,73,103,57,35,65,4,27,95,5,91,48,98,94,19,102,111,113,99,1,69,12,26,30,28
1: 108,36,39,72,93,88,49,83,58,8,24,89,23,38,42,119,64,86,85,6,18,79,44,15,43,55,114,109,97,100,106,61,68,10,45,32,13,118,80,77,3,76,56,20,21,62,81,101,87,66,7,116,29,117,22,70,16,14,115,2,107,50,9,63,84,46,17,37,67,112,41,53,52,51,34,60,33,78,25,40,54,96,71,11,90,47,92,105,74,82,59,110,75,73,103,31,57,104,65,35,27,4,95,98,94,5,91,102,111,48,19,99,113,69,26,12,30,1,28
1: 108,39,93,49,36,72,88,83,119,24,23,58,18,6,15,43,42,44,89,8,86,106,38,32,79,64,97,114,85,101,61,10,55,13,100,7,68,3,45,109,76,66,118,29,87,21,20,77,81,62,80,116,14,63,22,56,115,112,2,46,84,16,41,50,70,37,52,53,67,9,17,60,11,117,107,51,71,25,33,78,54,34,96,75,90,105,103,110,74,57,59,40,47,73,104,92,95,65,82,91,4,35,113,98,27,31,94,99,26,102,111,5,19,48,12,69,30,1,28
1: 93,39,108,36,83,24,109,38,8,49,72,58,97,64,44,10,6,23,89,45,100,21,18,85,86,80,66,114,55,88,42,15,62,13,87,67,81,52,61,119,43,76,68,79,56,53,118,3,32,34,46,77,51,50,106,115,116,22,92,33,20,107,9,112,11,101,117,84,71,70,2,17,25,40,14,98,29,63,41,7,78,37,96,73,105,74,54,59,16,57,26,113,27,35,110,65,90,102,82,104,60,75,91,4,47,94,69,31,48,103,111,99,30,5,12,95,19,1,28
1: 108,36,72,88,39,58,49,93,83,24,8,89,119,23,42,6,106,15,38,43,86,85,64,44,18,114,79,97,32,55,10,100,61,45,68,109,118,29,13,20,3,7,80,76,77,101,81,21,62,16,87,116,63,56,22,66,14,70,112,37,46,9,50,115,84,41,117,67,2,17,53,60,107,52,34,78,96,33,51,54,25,71,47,11,82,90,40,74,105,92,75,59,103,110,73,57,104,27,95,5,35,31,65,4,94,91,102,111,48,98,99,19,113,12,69,1,26,30,28
1: 108,39,93,36,49,72,88,58,24,83,86,8,89,42,23,119,6,44,38,43,55,106,15,97,85,32,114,64,10,18,100,45,3,21,29,20,109,66,79,81,13,62,101,87,76,77,52,118,68,56,115,61,14,53,11,46,112,80,7,67,116,9,2,70,17,84,105,60,22,63,71,92,34,117,51,107,41,25,50,90,37,16,104,35,74,40,33,54,103,57,113,75,26,4,110,73,98,95,78,59,96,47,27,91,94,82,65,99,102,31,19,69,48,5,111,12,30,1,28
1: 39,108,36,93,72,83,24,49,88,8,42,64,23,38,89,79,58,55,100,97,6,85,18,44,15,109,43,114,119,61,86,68,45,10,13,32,80,106,66,118,81,76,3,77,116,21,20,62,22,9,56,101,67,29,107,87,115,7,14,16,84,117,34,52,70,46,50,2,53,63,112,37,33,51,96,78,25,17,41,40,92,47,60,11,54,71,74,82,90,59,110,105,35,75,98,103,31,73,27,57,26,104,94,113,95,65,5,4,102,111,48,91,19,30,12,69,99,1,28
1: 36,108,39,58,88,49,93,24,15,72,83,119,106,23,8,43,6,89,86,44,18,38,114,85,42,101,7,20,29,79,55,64,32,16,97,118,10,100,63,87,61,45,80,41,68,70,112,13,62,76,81,21,3,116,109,14,17,50,77,78,33,37,66,22,60,75,84,46,56,96,9,67,74,90,115,82,57,47,103,54,2,53,71,40,110,25,34,73,51,117,52,11,95,107,31,92,59,27,104,4,105,65,102,94,91,35,111,19,5,99,12,48,69,1,113,30,98,26,28
1: 108,39,93,36,83,24,49,6,72,8,97,88,58,55,100,89,66,80,38,44,64,15,114,109,45,23,85,10,107,42,77,86,115,119,81,52,18,34,9,21,43,67,118,7,61,112,13,79,50,106,32,68,87,3,33,22,56,62,20,76,116,46,70,11,101,53,16,84,78,40,2,92,51,37,29,117,96,17,110,25,31,14,105,60,63,47,74,71,59,98,75,54,95,65,73,103,27,41,104,4,82,57,94,91,5,90,26,102,48,35,30,111,99,69,113,19,1,12,28
1: 108,39,36,49,93,88,72,83,58,24,8,119,89,42,23,86,6,43,85,15,38,106,32,18,55,64,79,44,114,10,61,68,97,100,45,109,3,20,13,29,101,118,76,77,80,21,62,7,87,81,56,116,70,63,16,14,22,37,17,2,41,112,46,66,117,84,50,9,60,67,115,53,107,51,52,71,34,90,54,25,78,33,96,105,40,11,74,75,47,59,92,104,57,82,103,110,73,31,35,95,4,27,65,91,94,98,19,5,102,111,99,48,113,1,12,69,26,30,28
1: 108,39,36,88,72,93,49,83,119,23,42,58,24,85,15,79,8,18,64,86,43,89,6,61,44,38,114,10,32,68,109,55,106,97,13,100,3,77,45,76,56,101,20,118,62,80,21,81,7,29,116,87,117,22,63,14,70,17,16,66,37,2,41,46,84,115,50,67,107,9,60,53,112,52,51,54,25,71,90,34,11,78,33,40,105,59,75,74,96,47,92,104,110,82,73,31,103,35,65,57,27,95,4,48,5,98,113,91,94,111,102,19,26,99,12,1,69,30,28
1: 108,39,36,93,6,24,83,49,8,72,88,66,58,80,55,97,100,15,89,109,114,44,77,107,64,38,85,10,45,119,42,118,32,23,52,112,13,67,78,86,70,7,115,34,61,21,16,43,106,9,101,50,33,18,79,81,46,68,56,62,22,37,20,76,92,3,11,2,17,31,29,116,60,84,47,87,53,96,105,63,40,14,71,59,25,91,41,110,95,117,75,103,74,51,104,111,57,4,99,94,65,27,5,54,73,48,102,82,98,35,90,26,113,30,19,1,28,69,12
1: 39,108,36,88,49,72,83,93,58,119,24,15,85,8,106,43,23,42,86,89,6,18,38,32,79,114,64,7,10,44,55,101,100,97,61,29,68,118,109,45,80,87,20,3,13,77,16,81,76,21,63,62,70,66,22,112,14,50,116,41,17,56,60,37,84,67,46,33,9,2,78,75,115,53,71,90,96,54,74,51,52,110,107,103,34,25,117,47,105,57,11,82,92,95,59,40,4,104,73,31,65,35,27,91,94,99,111,102,19,5,98,113,48,1,12,69,30,26,28
1: 39,108,36,93,83,72,88,49,58,24,8,89,23,119,15,42,106,38,6,43,18,86,85,79,64,44,114,100,97,55,10,32,109,61,45,68,87,13,3,80,7,118,101,20,81,21,66,62,77,29,76,70,56,116,14,16,63,22,50,112,84,9,17,67,41,117,37,2,107,115,46,53,78,33,60,34,52,96,51,71,54,47,90,110,74,75,40,25,11,82,103,105,92,57,73,65,59,27,95,35,104,4,31,94,91,5,98,102,111,99,19,48,69,12,30,26,113,1,28
1: 39,108,93,36,83,72,49,88,58,24,8,89,6,38,64,42,23,97,44,106,15,79,18,119,85,43,86,55,114,100,109,61,68,66,32,45,10,87,118,80,13,3,7,76,20,29,101,77,62,81,21,116,112,22,16,56,70,50,115,63,14,52,9,84,67,117,107,41,2,17,46,37,34,33,53,96,60,51,78,11,47,25,71,40,90,110,57,54,74,75,103,92,82,105,73,95,59,4,65,27,35,31,104,94,91,5,98,102,111,99,26,19,113,48,12,69,30,1,28
1: 36,108,39,72,93,83,49,88,8,24,58,89,38,85,79,42,23,18,64,6,44,86,119,15,114,3,66,97,109,43,32,100,45,13,106,22,118,17,70,60,81,2,41,10,80,62,77,76,68,61,117,56,20,14,34,63,29,16,9,37,50,54,101,52,11,115,67,116,84,55,46,21,87,7,107,112,53,96,78,47,40,104,27,82,59,71,51,110,105,90,48,31,1,19,74,33,75,103,95,57,102,25,92,98,91,65,73,35,4,94,5,111,113,26,12,99,69,30,28
1: 108,36,39,88,49,72,93,58,83,24,119,15,23,8,43,42,106,89,85,86,18,6,38,64,79,114,32,44,97,10,55,100,61,29,101,7,68,109,45,20,118,13,3,87,80,76,62,81,63,21,77,16,70,14,116,112,41,56,17,22,66,50,37,84,60,46,9,2,67,115,53,117,33,90,78,71,107,96,54,52,75,34,51,25,74,110,57,47,11,103,40,105,82,59,73,92,104,95,31,35,4,27,65,91,94,111,19,102,99,5,48,113,98,12,1,69,26,30,28
1: 108,39,36,93,72,83,49,88,58,24,8,89,23,119,42,6,38,15,85,64,44,86,43,106,18,55,114,100,97,79,10,32,109,61,45,80,68,118,13,20,66,21,3,76,81,101,87,77,29,62,7,116,70,56,16,112,22,14,63,50,9,67,115,84,46,107,17,41,37,117,2,52,53,33,34,78,60,96,51,71,54,40,11,47,25,90,110,74,75,92,82,105,103,57,59,73,27,104,31,95,4,65,35,94,91,98,5,102,111,99,19,48,113,26,69,12,1,30,28
1: 39,108,93,58,36,88,83,49,72,24,8,106,119,6,86,23,89,38,87,15,43,97,44,42,100,10,55,32,85,18,29,64,112,7,101,114,79,66,80,45,63,21,118,109,20,62,81,13,16,76,61,50,70,3,68,41,60,14,17,84,78,33,116,22,77,96,75,67,110,52,57,53,37,9,103,115,90,46,56,47,71,51,2,74,4,82,34,95,54,40,107,11,105,65,27,73,25,117,94,99,91,104,92,31,102,111,35,59,5,19,98,69,48,12,1,113,30,28,26
1: 108,39,72,36,49,93,83,89,88,58,24,8,38,42,86,23,85,55,64,6,44,119,3,77,79,68,97,18,43,61,109,15,13,32,114,45,21,10,100,117,62,56,22,106,76,29,81,116,46,80,14,118,34,101,9,53,87,67,2,16,66,84,20,7,63,70,17,37,41,115,52,107,11,105,60,92,59,51,25,90,50,71,54,40,96,78,104,35,91,73,33,112,74,47,110,27,82,103,65,98,4,94,57,31,102,75,111,5,19,12,99,95,48,1,113,69,26,30,28
1: 39,108,93,36,83,72,88,38,49,58,24,8,89,100,6,97,55,66,64,44,23,109,114,79,86,42,61,15,45,18,85,43,80,68,87,106,10,13,21,81,119,32,76,9,107,62,116,118,77,117,67,115,20,7,56,50,22,52,3,70,53,33,112,84,14,16,101,34,51,78,40,96,46,2,29,92,47,17,25,37,63,110,41,11,74,54,98,60,71,105,27,73,57,82,90,103,59,65,95,75,31,94,4,5,102,35,104,91,26,111,12,30,69,48,99,19,113,1,28
1: 39,108,36,88,49,58,93,83,72,119,24,106,15,8,43,23,86,89,6,85,18,38,44,42,7,29,114,32,101,97,79,64,55,20,87,100,10,118,16,63,61,45,80,112,68,13,3,109,81,21,76,62,50,41,70,14,77,66,17,37,116,60,22,33,56,84,75,9,96,78,46,115,90,67,2,103,54,53,57,74,71,110,51,52,47,34,40,82,25,11,107,117,95,105,73,4,104,31,92,27,59,35,65,5,91,94,102,111,48,99,19,12,98,1,113,69,30,26,28
1: 108,39,93,36,49,88,58,83,72,24,89,8,42,119,86,85,23,106,38,18,64,6,43,32,15,114,44,97,55,79,100,109,10,13,21,3,61,45,101,66,87,16,118,76,68,20,81,77,116,62,56,29,63,14,22,7,50,80,84,46,70,115,9,17,78,117,53,112,2,107,52,40,33,67,41,37,71,60,82,25,34,11,51,96,74,92,47,54,75,90,110,103,57,59,35,73,105,27,19,95,31,4,104,5,113,65,94,98,91,111,102,12,99,69,48,1,30,28,26
1: 39,108,49,36,72,88,83,93,58,24,8,119,106,6,43,23,89,86,42,15,32,85,38,44,55,18,79,64,29,100,114,97,10,21,61,3,109,13,81,66,101,87,68,50,14,62,118,112,80,16,76,20,116,63,52,7,45,70,77,17,41,84,22,60,78,46,56,34,9,115,37,33,67,92,103,53,71,25,2,11,75,4,54,51,110,105,90,57,74,104,82,117,47,27,95,107,65,96,40,35,73,91,94,31,99,5,102,59,111,48,98,69,1,19,113,28,12,26,30
1: 8,39,108,93,58,44,83,36,24,55,88,112,49,23,89,6,97,119,72,66,106,100,15,64,21,61,116,68,14,38,114,40,101,80,118,65,18,85,45,33,13,107,20,76,115,10,84,53,86,78,34,110,67,43,87,79,77,109,42,92,57,32,29,22,81,96,90,62,54,70,60,16,46,103,50,73,25,7,63,3,9,52,56,117,51,47,74,41,75,27,11,98,82,19,95,71,102,104,59,31,69,105,17,35,37,5,2,26,12,91,4,94,30,111,99,48,1,113,28
1: 39,36,108,88,49,72,58,83,93,106,24,8,119,23,15,89,42,79,32,43,86,55,85,64,100,118,87,18,6,114,10,38,20,44,63,29,7,14,80,61,101,45,21,97,62,76,109,3,112,70,16,13,81,66,116,41,68,78,84,77,33,50,22,60,46,96,90,56,110,67,103,53,71,57,9,51,47,37,75,2,17,82,54,5,115,74,25,117,107,52,95,4,27,34,40,73,104,92,11,105,99,65,94,19,35,59,91,102,98,111,31,69,48,12,1,30,113,28,26
1: 108,36,72,39,83,93,89,49,88,24,8,58,38,43,119,44,85,18,114,23,42,79,64,106,6,97,68,100,109,45,15,32,61,10,55,86,66,77,56,3,21,80,118,81,13,76,107,22,29,14,62,20,101,117,116,87,70,7,112,50,9,2,16,52,115,34,67,51,63,17,46,53,37,84,41,33,54,25,96,47,78,11,60,82,71,92,40,105,73,110,57,90,103,98,74,59,27,65,35,75,31,95,5,102,91,104,4,94,111,99,48,30,12,19,69,113,26,1,28
1: 39,93,108,36,83,49,24,8,100,72,58,55,88,38,6,97,89,44,66,109,64,15,23,80,114,85,18,43,42,79,10,106,86,118,45,119,13,61,32,68,21,81,77,107,115,9,87,56,112,52,67,34,76,33,20,62,116,22,50,78,70,7,3,16,117,101,84,29,96,46,14,53,47,51,92,63,40,2,37,11,25,74,110,82,17,41,60,54,98,27,31,94,73,71,105,95,103,59,65,57,91,75,4,90,35,102,111,5,104,99,30,26,69,48,19,12,113,1,28
1: 108,36,72,93,39,49,88,83,58,24,6,89,119,23,43,8,44,42,106,38,15,86,85,32,55,18,97,64,100,114,79,61,13,45,7,68,118,29,109,3,10,101,81,21,20,77,76,66,14,116,87,63,56,80,62,16,22,115,46,9,2,112,84,117,50,37,41,70,52,67,53,17,107,11,34,51,78,96,60,33,25,71,54,75,47,82,90,105,92,74,103,40,110,57,59,73,104,35,65,27,94,95,4,91,102,98,111,31,113,5,99,69,19,48,12,30,26,1,28
1: 108,39,93,36,49,83,24,72,6,88,8,58,55,97,89,66,100,80,38,44,114,109,15,64,85,77,42,45,23,119,107,10,86,32,13,21,81,43,18,67,115,79,52,61,46,118,34,7,68,87,106,112,70,50,56,62,3,9,101,20,76,11,2,116,33,53,84,92,22,51,17,37,16,78,105,60,29,25,117,14,110,71,74,40,31,96,63,91,59,47,54,75,41,98,104,94,103,73,95,57,65,4,27,99,90,35,5,111,82,102,26,30,48,19,113,69,1,12,28
1: 108,36,39,72,93,83,58,8,89,49,88,24,38,106,6,23,64,114,55,85,42,44,109,100,79,18,97,43,61,66,86,118,45,68,15,70,13,119,10,112,21,87,32,7,80,16,29,20,77,107,76,3,81,56,117,50,116,101,22,78,63,96,62,9,67,47,33,17,14,41,52,84,53,37,60,82,115,46,34,51,40,2,74,103,110,57,27,90,73,105,92,75,95,102,65,54,5,25,31,11,71,94,91,98,4,99,111,104,59,48,35,69,12,19,30,1,26,28,113
1: 108,39,93,36,83,24,49,6,72,8,88,97,58,55,100,80,89,66,38,44,64,15,109,10,114,23,45,85,42,77,107,119,86,115,21,18,52,81,34,61,67,13,32,112,43,118,79,9,50,56,62,106,87,7,68,46,33,76,3,22,101,70,20,116,53,11,84,16,40,92,2,78,51,37,17,29,117,25,96,110,105,31,60,63,14,71,47,59,74,75,65,73,98,54,4,95,41,103,104,57,91,27,94,82,102,90,5,111,26,30,35,99,48,113,69,19,1,12,28
1: 36,108,39,72,49,88,83,58,93,24,119,23,15,8,43,42,106,89,85,18,38,64,86,114,6,79,32,44,55,21,10,61,97,100,29,101,7,45,68,20,13,109,118,3,80,76,63,87,81,62,16,77,70,14,116,112,41,17,56,22,50,37,46,84,66,60,53,9,2,67,33,78,75,71,117,54,90,96,115,107,34,51,25,74,47,110,52,103,57,40,82,105,11,73,92,59,104,95,35,31,4,27,65,91,94,111,19,102,99,5,48,98,12,113,1,69,30,26,28
1: 108,36,39,72,93,88,49,83,58,24,8,89,23,42,119,38,6,15,85,86,43,64,44,18,106,114,55,79,97,32,100,10,109,45,68,61,29,13,3,118,20,101,76,80,77,21,81,62,7,66,87,56,116,16,70,14,112,63,22,115,9,2,46,50,117,17,67,41,84,107,53,37,52,60,51,34,33,78,71,25,11,90,96,54,92,74,105,40,47,75,103,82,110,57,59,73,104,95,4,27,35,31,65,94,91,98,102,111,5,99,19,113,48,26,69,12,1,30,28
1: 39,108,83,36,93,79,42,49,85,64,18,24,15,72,55,109,100,61,106,119,80,58,88,10,8,23,77,68,76,38,118,89,101,62,6,97,43,13,56,66,3,44,32,16,81,78,22,33,87,117,9,50,29,96,116,21,86,63,53,47,67,34,14,114,92,7,115,45,82,110,20,73,112,27,107,52,65,84,74,70,46,41,71,94,40,59,2,37,105,11,51,111,54,4,91,103,102,69,57,5,17,35,75,90,98,60,99,30,104,31,95,25,12,19,48,26,113,1,28
1: 36,108,39,49,88,72,58,93,83,24,119,15,8,23,43,106,89,42,85,86,6,38,18,114,44,64,79,29,55,97,7,32,101,10,100,20,118,63,45,61,16,68,13,87,80,3,109,76,112,81,62,70,14,41,50,46,21,17,77,116,60,66,37,22,84,33,75,78,96,56,90,57,9,67,2,103,115,110,53,74,71,54,47,51,82,52,95,4,117,34,107,25,40,73,11,105,104,27,65,91,94,59,92,31,99,35,111,102,19,5,48,12,69,98,1,113,28,30,26
1: 88,58,106,39,72,93,108,83,36,24,89,6,8,119,49,86,85,38,44,15,10,118,114,42,17,66,20,18,23,70,64,3,97,109,43,13,77,32,67,100,79,68,80,81,61,14,62,45,76,117,2,107,116,56,59,22,7,84,55,37,50,46,71,54,34,51,21,52,63,101,53,25,112,87,29,96,98,73,40,16,75,9,78,35,110,47,104,27,82,5,60,105,41,11,115,90,113,31,26,48,1,19,74,33,103,91,65,95,94,12,102,30,57,111,92,4,99,69,28
1: 108,39,36,93,72,83,49,58,88,24,55,8,6,89,118,100,106,80,38,114,42,44,50,7,23,86,45,33,16,97,70,87,15,10,79,66,20,107,119,37,81,64,115,32,29,109,78,103,112,9,85,110,101,74,63,82,76,77,41,43,68,62,31,96,18,3,61,21,75,60,34,51,94,46,56,98,57,91,13,27,116,117,22,47,17,14,59,4,25,54,2,52,73,71,84,111,104,95,92,102,99,5,40,67,53,35,11,19,65,105,90,48,28,30,12,69,113,26,1
1: 93,39,108,36,83,72,49,58,88,38,64,89,8,24,6,100,44,15,23,43,119,86,18,85,79,68,42,32,106,109,114,76,61,97,62,10,55,21,13,45,117,118,81,56,3,87,66,14,77,101,80,2,116,20,7,84,16,22,9,46,29,41,107,70,78,67,17,112,53,33,34,51,50,11,37,52,115,75,82,63,25,54,57,47,104,74,95,71,92,59,40,96,103,35,73,4,110,65,60,105,98,31,27,90,5,26,91,102,30,111,99,69,94,19,113,48,28,12,1
1: 36,108,39,72,88,58,83,93,24,49,119,8,89,43,85,79,42,23,106,18,64,38,86,6,44,114,10,80,15,118,20,32,100,3,109,63,62,45,29,13,77,68,61,67,117,116,55,7,16,81,76,21,17,70,14,112,56,22,84,46,9,66,97,2,37,50,34,53,33,101,87,60,41,96,78,74,71,107,54,52,11,115,90,110,57,75,47,51,25,40,103,104,27,82,59,31,105,35,95,4,91,65,73,102,92,5,111,48,12,99,113,1,19,26,98,94,69,30,28
1: 108,39,72,36,88,58,83,93,24,49,119,15,8,89,85,79,42,23,106,38,18,64,86,6,44,114,10,118,20,3,97,43,32,63,29,100,80,109,62,45,13,77,68,61,117,116,55,7,16,81,76,14,17,70,56,46,21,9,112,2,37,50,101,59,87,22,60,41,66,53,67,84,34,96,75,78,74,71,107,54,47,52,11,115,90,51,73,110,33,103,95,57,25,40,31,105,104,35,27,82,4,5,102,92,91,65,111,48,12,99,1,19,113,26,98,94,69,30,28
1: 108,39,93,88,36,83,58,49,72,119,24,85,106,15,42,8,18,79,23,101,43,86,61,89,64,6,38,44,87,55,29,32,97,7,114,100,118,10,109,68,80,16,20,76,77,112,13,63,62,45,50,41,21,3,81,56,70,66,116,14,60,17,37,22,84,96,75,33,9,90,46,78,57,115,103,2,53,110,117,71,67,74,52,51,47,82,107,34,54,95,4,11,40,105,73,25,27,91,59,104,65,31,92,94,35,99,102,111,19,5,98,1,12,113,48,69,30,28,26
1: 36,108,39,93,83,72,88,58,49,24,8,23,119,15,79,89,42,100,55,18,85,64,86,118,10,38,6,80,43,106,62,61,3,97,21,109,32,81,114,44,45,68,77,76,29,101,20,116,50,13,66,7,87,56,22,14,46,84,16,70,63,112,9,17,117,71,41,78,37,107,54,67,33,96,53,51,40,2,57,110,60,34,90,75,74,25,115,92,52,103,82,105,47,35,4,11,59,73,27,5,91,111,95,102,94,19,104,65,99,48,98,31,1,69,30,12,113,28,26
1: 39,108,93,36,83,58,49,88,72,24,8,106,119,89,15,23,38,43,42,85,18,100,6,86,55,44,64,79,114,32,97,10,29,109,61,118,45,101,80,20,68,87,7,76,13,16,81,62,112,21,66,63,3,70,14,77,116,50,9,41,22,84,17,56,78,115,96,33,107,67,37,60,46,2,51,34,53,117,47,52,90,82,74,54,57,75,110,71,103,25,92,40,27,11,73,95,105,59,4,31,94,35,65,91,111,104,102,99,98,19,5,69,48,12,1,113,30,26,28
1: 39,108,36,93,83,49,24,88,58,72,8,15,119,55,42,100,43,89,18,64,23,44,6,85,38,106,86,114,79,10,80,97,109,118,32,45,61,77,13,68,101,3,20,29,81,76,7,16,66,62,21,70,56,67,22,112,116,63,87,9,14,107,17,46,33,50,37,78,115,96,34,60,84,41,52,53,2,117,47,40,25,90,92,71,51,11,110,54,105,59,74,75,82,27,57,31,73,103,65,104,94,91,95,5,4,35,102,111,99,98,48,19,69,30,26,113,12,1,28
1: 108,39,36,93,88,49,58,72,83,24,119,23,15,8,43,106,42,89,85,6,18,64,38,86,79,44,114,97,32,55,10,100,29,7,101,61,109,45,87,20,3,68,13,118,80,21,76,63,62,81,77,16,14,112,70,116,66,41,50,17,56,22,37,84,60,46,9,2,115,67,53,33,71,52,90,117,96,34,78,107,51,75,54,110,74,11,57,47,105,103,25,73,40,82,59,92,95,35,104,31,4,27,65,91,94,111,99,19,5,102,113,98,48,12,1,26,69,30,28
1: 108,39,36,88,93,58,83,72,49,24,8,106,119,23,15,89,6,43,86,38,44,42,97,114,85,55,18,100,7,79,32,64,29,87,101,20,10,118,45,61,16,80,13,81,68,63,112,66,76,21,3,62,109,70,50,116,41,22,14,77,33,17,37,84,78,60,115,9,67,46,56,96,75,103,74,47,52,90,54,2,57,82,110,53,34,107,40,51,71,25,11,117,95,92,73,4,105,27,104,31,94,91,59,102,5,65,35,111,99,48,12,19,98,113,26,69,30,1,28
1: 93,39,108,36,83,24,49,6,72,88,8,58,38,97,23,44,66,55,89,100,21,64,118,15,42,86,114,10,80,85,109,45,13,43,79,18,119,61,9,52,68,106,67,116,76,62,81,53,115,20,84,32,77,22,14,87,107,78,3,92,50,34,112,46,33,16,70,101,117,29,51,2,56,96,41,40,11,7,25,54,37,47,63,110,17,71,74,82,105,98,27,65,60,90,103,94,73,5,26,4,75,59,31,57,95,102,91,104,99,69,35,111,48,30,12,19,113,1,28
1: 108,36,39,93,72,83,49,88,24,8,23,58,89,44,6,38,119,43,15,55,114,100,97,86,42,45,85,106,32,10,81,13,79,21,18,64,109,61,87,66,76,62,80,20,7,101,68,46,9,118,14,115,56,3,116,50,29,70,22,77,107,63,112,16,67,37,52,34,2,53,84,17,33,41,78,117,51,11,25,40,92,71,110,54,96,60,74,75,47,82,73,90,105,103,57,104,59,35,27,95,65,98,31,94,4,91,26,102,5,113,111,12,48,30,99,19,69,1,28
1: 108,36,39,88,72,58,49,83,24,93,119,23,8,42,89,15,106,64,85,43,18,38,86,79,114,32,6,55,10,44,109,100,45,68,61,29,20,97,13,3,118,80,101,76,63,7,62,81,77,21,87,70,14,16,56,116,112,17,37,84,46,50,41,60,2,9,22,66,117,53,67,71,107,34,90,96,51,33,115,78,54,52,75,110,25,105,57,47,59,74,73,40,104,35,82,103,11,92,27,31,65,95,4,91,94,111,19,5,99,98,48,102,113,1,12,69,30,26,28
1: 93,39,83,36,108,49,24,100,8,58,72,55,38,44,88,18,97,109,23,43,89,6,66,85,42,64,86,79,114,15,13,118,61,106,32,45,10,21,119,68,80,81,20,56,115,9,76,67,84,52,62,107,116,14,117,112,87,77,70,3,22,50,29,53,101,33,16,51,78,92,34,96,46,7,47,63,2,41,11,17,54,37,25,82,40,74,110,98,31,71,35,60,105,103,95,27,90,73,59,65,57,91,94,4,102,26,75,111,30,104,69,48,5,99,19,12,113,1,28
1: 108,88,36,72,58,39,49,93,8,83,24,89,119,86,23,42,106,38,85,43,64,15,18,114,6,44,79,45,97,32,61,109,68,20,55,3,10,100,118,29,13,77,80,76,7,101,62,21,56,81,63,116,70,87,16,37,22,14,2,66,41,17,117,50,84,46,60,112,9,115,67,54,53,107,34,71,90,52,51,25,96,40,78,11,33,105,47,59,82,92,74,104,75,110,31,103,73,57,5,35,27,95,4,48,65,91,102,111,94,19,98,99,1,12,113,69,28,26,30
1: 108,39,93,36,83,72,8,38,24,58,88,89,49,6,100,97,55,66,44,23,114,64,79,42,106,45,86,43,15,109,87,80,81,18,85,13,61,9,10,119,68,32,118,21,107,115,34,76,52,116,50,22,20,67,7,14,16,33,62,3,112,77,78,56,70,53,96,101,29,117,84,47,40,46,92,2,63,51,82,37,41,11,27,110,25,74,17,60,98,103,54,73,105,90,71,57,94,95,5,65,75,59,102,4,31,35,91,111,26,104,69,99,30,48,19,12,113,1,28
1: 39,108,36,93,49,83,72,88,58,24,8,119,38,89,23,85,42,6,106,18,79,15,64,97,44,43,86,100,55,114,10,109,32,61,87,68,45,13,66,80,101,118,21,81,3,7,76,62,20,77,56,116,16,29,14,22,70,17,117,50,63,67,84,112,107,115,9,52,2,53,46,41,37,33,78,60,51,34,96,11,54,25,71,90,47,110,40,74,75,82,92,105,103,57,73,59,65,95,27,35,104,4,31,98,91,94,5,102,111,48,113,99,19,26,69,12,30,1,28
1: 108,36,39,88,72,49,58,93,83,24,119,8,42,89,23,106,85,86,43,15,64,18,6,38,79,44,114,32,97,55,68,100,109,10,61,29,3,45,118,7,13,20,76,80,101,77,62,87,21,81,63,56,116,16,70,14,22,66,41,112,17,37,50,2,84,60,46,115,9,117,67,53,90,52,71,107,34,51,96,78,33,54,11,75,25,47,40,110,74,105,82,59,103,57,73,92,104,35,4,31,95,27,91,65,94,19,102,99,111,5,113,98,48,1,69,12,26,30,28
1: 108,36,39,88,58,72,24,83,93,49,8,23,119,106,43,89,86,15,6,38,114,64,29,44,7,20,85,18,97,100,42,55,10,45,118,79,80,87,32,16,68,81,109,13,21,101,61,62,76,112,63,37,66,41,60,50,17,14,9,3,70,84,22,75,77,46,96,107,34,56,52,115,33,90,47,116,54,11,57,2,74,53,51,25,31,67,40,71,82,73,117,59,92,104,103,78,110,95,35,105,27,102,65,91,4,12,5,111,48,94,1,113,26,99,30,19,98,28,69
1: 93,39,83,36,108,49,24,100,8,58,55,72,38,97,44,6,88,66,64,109,18,43,89,80,23,42,85,114,15,79,10,32,61,115,106,45,13,86,119,21,68,9,76,118,81,107,62,116,112,67,52,22,56,20,77,84,14,34,3,117,51,96,50,87,16,101,92,29,70,78,33,53,7,47,63,25,46,2,40,11,82,17,110,74,98,54,71,41,37,27,94,103,90,31,59,35,73,111,105,65,4,102,57,60,95,75,26,5,91,69,30,19,99,48,104,12,113,1,28
1: 39,108,36,93,83,58,49,88,72,8,24,89,6,38,15,55,44,100,97,119,42,106,23,86,114,66,79,80,43,87,85,118,64,32,18,45,10,109,7,81,29,101,16,68,61,76,13,78,112,20,70,62,3,77,63,14,21,33,107,22,50,115,116,9,52,67,96,56,47,34,84,46,53,37,60,82,41,17,117,2,40,75,103,110,74,51,11,27,57,25,92,90,54,4,95,94,71,73,65,105,91,59,111,31,102,99,104,98,35,69,5,19,30,26,12,1,113,48,28
1: 108,72,36,88,39,49,93,58,8,83,42,89,119,24,64,85,18,23,86,79,38,114,15,43,109,68,6,61,44,45,55,77,106,3,10,97,56,13,32,100,20,80,76,118,21,62,101,117,29,116,7,81,2,22,37,70,87,66,17,63,16,46,107,14,41,84,67,115,9,50,60,53,51,71,25,54,112,52,34,90,105,11,40,59,96,33,78,92,47,104,31,74,82,110,75,35,73,103,57,4,65,27,5,95,91,48,98,94,111,19,102,113,99,1,12,69,26,30,28
1: 108,36,39,72,93,83,58,49,24,88,89,8,38,6,119,23,114,43,44,15,42,106,55,64,85,100,18,97,86,45,79,109,32,10,61,68,80,118,13,66,77,81,29,7,3,101,76,20,21,16,62,107,56,70,87,112,116,14,63,22,50,9,115,2,41,46,67,117,52,17,84,78,33,37,51,53,96,60,34,47,25,82,92,75,11,103,74,71,54,40,105,110,90,57,27,59,94,73,95,65,91,4,104,31,98,5,111,102,35,99,48,19,69,113,12,30,1,26,28
1: 108,39,88,36,72,58,83,93,49,24,119,8,23,42,15,86,89,43,106,85,18,64,38,6,79,114,32,44,97,61,55,10,100,68,20,45,109,29,118,3,13,101,7,80,76,77,81,62,21,63,87,16,116,70,14,56,22,37,17,41,66,2,112,84,50,46,60,9,67,115,117,107,54,90,78,53,25,33,51,71,34,52,96,75,40,11,47,74,103,82,110,57,92,105,104,59,95,31,73,4,35,27,5,65,48,91,94,102,111,19,99,98,113,12,26,1,69,30,28
1: 108,36,39,93,83,72,49,88,58,24,8,89,119,6,43,85,42,23,15,44,79,18,97,64,38,114,32,100,86,68,10,3,61,109,55,80,62,45,106,66,76,13,77,22,118,81,56,14,117,21,9,116,20,2,52,115,107,46,34,101,29,70,53,87,67,63,7,16,84,112,50,96,11,37,59,78,71,51,17,92,60,41,47,90,105,25,33,54,40,82,35,74,73,75,103,31,95,5,102,104,27,110,57,91,98,4,94,65,111,48,99,19,69,12,113,1,28,26,30
1: 108,88,36,72,39,58,49,93,83,24,8,119,106,89,23,86,43,42,15,85,6,38,18,64,114,44,79,32,55,97,100,29,61,45,10,20,68,7,109,101,118,3,13,80,76,87,77,21,62,81,63,16,116,56,70,14,112,41,66,22,37,17,50,84,2,46,60,9,115,67,117,53,33,71,90,96,78,54,34,107,51,52,75,25,74,11,47,103,40,57,110,105,82,92,73,59,104,95,4,31,35,27,65,91,94,111,102,99,19,5,98,48,12,113,69,1,28,30,26
1: 36,108,39,88,58,49,72,93,83,24,119,106,8,15,23,43,86,89,42,6,85,18,38,32,64,114,44,79,29,97,7,55,10,100,101,20,87,118,61,45,68,63,109,13,3,80,76,16,81,62,21,112,70,14,77,41,50,116,66,17,60,22,37,84,56,46,9,33,2,78,90,96,67,75,115,53,71,57,54,110,51,52,103,74,107,117,34,47,25,82,11,40,105,73,95,104,4,92,59,27,31,65,35,91,94,99,111,19,102,5,48,98,113,12,1,69,30,26,28
1: 39,108,93,36,83,49,24,6,72,55,8,88,66,97,58,100,89,80,44,23,64,15,38,109,10,85,42,114,45,81,119,79,52,21,13,18,67,77,32,107,43,61,86,106,118,115,46,34,112,53,9,3,7,56,68,62,22,70,87,84,11,116,101,76,33,78,92,50,20,16,2,14,29,17,105,37,96,40,117,51,63,110,60,25,71,47,31,59,75,65,41,103,54,91,73,74,95,104,4,57,98,26,27,99,35,102,94,82,111,90,5,113,48,30,19,69,1,12,28
1: 108,39,36,93,49,83,88,72,15,58,24,42,85,79,119,23,43,18,64,61,44,55,38,8,97,6,89,10,100,106,101,3,114,32,116,109,13,80,118,86,68,77,56,76,63,62,45,29,16,81,21,7,20,87,50,14,66,70,41,115,22,17,67,9,46,78,33,84,60,112,2,117,37,53,71,34,73,110,54,96,4,92,103,57,52,105,90,47,40,82,75,74,11,51,94,107,25,59,95,27,65,19,35,99,5,111,104,91,31,102,69,98,12,48,1,30,113,26,28
1: 108,39,58,36,93,88,83,49,106,72,8,24,119,86,23,15,6,89,43,38,87,32,114,18,7,79,44,20,42,55,64,10,97,29,100,70,85,101,80,118,112,109,13,16,68,62,21,45,41,66,76,63,14,61,81,78,50,116,17,33,3,77,22,60,84,90,75,82,56,103,37,96,67,52,9,47,74,46,57,115,51,95,110,53,117,71,107,40,54,2,25,11,65,34,27,73,4,92,31,91,94,104,105,102,59,35,5,99,19,48,111,98,12,69,113,1,28,30,26
1: 39,108,93,36,24,83,49,88,6,72,8,97,38,100,44,66,89,58,55,23,80,64,114,10,42,45,109,15,86,18,52,119,21,13,34,115,85,107,43,67,81,106,77,79,87,61,50,9,32,53,68,46,22,118,76,116,33,62,56,84,3,20,112,7,11,92,70,101,2,40,51,71,37,16,29,78,105,96,63,14,25,74,17,117,65,110,47,59,41,98,60,54,4,104,73,75,82,57,102,5,26,31,27,90,94,103,95,111,91,48,35,30,99,69,113,19,12,1,28
1: 108,39,72,36,49,88,93,8,24,55,83,42,44,23,58,85,6,109,64,86,18,89,114,77,68,79,38,3,13,43,97,61,56,45,80,119,15,100,20,10,21,118,66,117,62,46,76,116,32,22,67,105,106,84,107,115,53,52,11,7,101,2,37,87,59,29,50,81,9,70,51,71,60,25,41,17,40,34,14,16,63,92,54,96,90,31,104,5,33,111,112,47,110,73,48,94,74,27,82,98,65,78,75,57,99,91,95,103,102,35,26,113,4,19,1,12,69,30,28
1: 88,58,39,108,49,36,106,93,83,72,119,24,8,86,15,6,43,7,32,23,42,87,29,85,89,101,18,44,38,55,114,79,10,100,118,20,97,16,63,64,112,80,81,68,70,109,50,66,45,13,21,60,3,61,41,76,62,14,77,17,75,37,103,33,78,96,110,116,22,90,84,57,67,74,95,46,82,56,4,54,47,9,115,71,52,53,51,2,25,40,107,105,11,94,27,34,91,65,99,104,73,117,92,31,102,59,111,5,35,19,48,12,1,98,69,113,28,30,26
1: 108,36,39,93,58,88,83,72,49,24,8,106,119,23,15,89,43,38,42,6,86,85,114,79,18,44,64,55,100,32,97,10,29,45,61,7,118,87,101,20,109,68,80,13,76,63,3,16,62,81,70,112,21,66,116,14,77,41,50,22,56,17,84,60,78,9,33,37,46,67,96,115,53,107,2,47,52,75,117,34,90,57,71,51,103,74,82,110,54,40,25,105,11,95,73,92,27,4,31,59,65,104,35,91,94,111,99,102,19,5,98,48,113,12,1,69,26,30,28
1: 39,108,93,36,83,8,72,88,49,24,58,100,64,97,38,55,44,18,23,89,66,114,86,10,106,6,119,42,85,80,109,15,32,87,21,62,61,79,118,70,45,76,101,13,43,81,20,112,116,33,50,29,7,16,9,14,67,77,68,78,110,96,22,34,3,63,57,41,17,115,107,84,52,53,56,60,47,117,71,75,90,4,82,46,37,103,40,51,54,5,94,74,105,65,95,2,111,73,92,27,104,91,31,11,99,102,19,25,98,35,69,59,12,1,48,28,30,113,26
1: 39,108,93,36,49,72,24,83,89,8,58,88,55,100,6,23,97,66,80,109,15,44,77,114,85,38,64,42,45,86,13,119,10,81,32,43,106,67,18,68,118,61,52,107,21,79,115,46,34,62,56,3,9,70,76,16,50,112,101,53,33,116,11,20,2,7,87,29,92,84,22,105,37,14,51,17,78,117,60,59,63,40,96,71,74,25,110,75,47,91,94,41,65,31,103,54,98,104,27,57,35,111,4,99,73,95,102,5,82,90,48,30,26,113,19,69,1,28,12
1: 108,39,36,93,49,83,72,24,58,89,8,55,23,100,88,42,38,6,97,44,80,66,77,106,114,109,119,64,15,10,107,85,86,79,53,68,45,81,112,18,118,43,13,7,21,87,32,16,61,50,115,70,20,116,3,62,67,101,33,56,76,78,9,84,29,46,96,63,22,14,40,34,2,74,37,92,52,60,47,17,110,105,103,75,117,95,4,51,41,71,11,5,31,27,57,82,73,90,91,54,65,99,94,25,98,59,102,111,104,69,35,30,19,48,12,26,1,28,113
1: 108,36,39,72,88,93,49,83,58,24,42,8,119,23,85,64,18,89,79,15,86,43,38,114,6,44,61,109,68,97,55,32,10,106,3,45,13,77,100,56,20,76,21,118,80,101,62,81,117,116,7,29,22,87,2,70,66,14,17,37,63,16,46,41,84,107,115,67,9,50,60,53,52,51,112,54,25,34,71,11,90,40,105,33,78,59,92,96,47,74,104,110,75,31,82,73,35,103,65,57,95,4,27,98,5,48,91,113,94,102,19,111,26,99,12,1,69,30,28
1: 108,36,39,72,88,93,49,83,58,42,119,24,85,18,64,15,79,8,23,89,106,43,44,61,6,38,55,86,3,114,68,109,97,32,100,10,77,45,101,13,56,118,76,80,62,29,116,7,20,21,63,81,87,70,16,22,17,66,46,14,84,41,117,2,50,115,112,37,67,60,107,9,78,25,53,51,71,52,33,34,90,54,105,11,92,96,75,59,40,74,57,110,47,35,104,31,73,82,4,103,65,111,94,27,95,19,113,91,26,48,5,98,99,102,69,1,12,30,28
1: 36,39,108,88,72,83,93,58,49,24,119,8,42,23,89,86,106,6,15,43,32,85,55,44,38,100,18,64,114,7,10,79,87,97,45,29,20,109,101,13,118,68,80,21,81,63,61,62,76,70,3,16,112,77,14,17,50,56,41,37,116,60,84,46,66,9,22,2,33,53,117,90,78,75,67,96,51,71,115,107,52,110,57,54,74,34,103,47,73,40,82,25,105,104,11,95,65,59,27,92,35,31,4,94,91,5,99,111,102,19,48,98,12,113,69,30,1,26,28
1: 36,72,108,88,39,83,93,49,58,24,119,8,42,106,89,43,86,23,44,6,85,64,18,15,55,79,38,100,97,114,32,68,118,109,10,45,101,29,61,80,3,76,7,87,13,20,62,21,63,77,81,66,16,70,116,41,22,50,56,14,112,17,84,60,37,2,46,9,115,78,90,67,117,71,52,33,53,107,51,34,96,54,25,75,110,11,57,74,105,40,47,103,59,82,92,104,4,73,35,31,95,27,65,94,91,19,111,99,5,102,98,113,48,26,1,12,69,30,28
1: 108,36,72,39,93,89,83,88,49,58,8,24,38,64,114,42,23,85,18,6,79,119,44,43,109,45,86,61,106,68,55,97,15,100,32,3,13,10,77,56,80,21,118,76,20,66,117,81,62,116,22,107,29,70,101,2,87,7,14,9,84,16,67,115,46,17,37,63,53,52,50,41,34,112,51,60,71,96,25,54,78,11,92,40,105,33,47,90,82,59,74,110,73,31,103,35,75,104,57,98,27,65,95,5,102,4,91,94,111,48,19,99,113,12,69,1,26,30,28
1: 108,36,72,88,58,8,89,86,39,49,93,83,24,38,119,42,64,85,23,18,114,6,79,44,43,109,68,15,45,106,61,3,20,97,77,32,55,56,10,118,13,100,76,80,62,29,117,21,2,37,101,116,22,81,70,7,63,66,16,17,14,41,84,87,46,115,9,107,60,50,67,54,34,53,71,52,90,51,11,40,25,59,105,96,112,92,78,104,47,31,82,33,35,74,73,48,5,110,27,103,75,57,19,111,102,65,91,94,4,98,95,1,99,69,12,113,28,30,26
1: 39,108,36,93,83,8,58,49,38,24,72,89,100,88,64,6,55,97,44,15,114,23,80,106,66,45,109,18,79,43,112,85,119,87,42,9,10,61,50,86,68,118,33,62,20,16,70,34,21,81,13,96,76,107,116,67,7,78,101,29,115,84,77,40,32,56,47,3,53,14,22,46,117,52,57,51,63,92,74,41,73,17,37,82,71,110,2,103,27,60,25,75,54,31,95,105,102,59,90,4,94,11,111,65,35,91,98,5,30,104,99,19,69,26,12,48,1,28,113
1: 108,36,72,39,88,49,93,58,8,83,89,42,85,119,24,64,23,18,86,79,15,38,68,109,43,114,61,6,3,44,45,10,77,55,56,32,97,13,106,76,118,100,80,101,20,62,117,21,29,116,7,16,81,2,70,22,63,37,17,14,41,87,46,66,84,50,9,115,60,112,107,67,53,51,71,34,90,54,25,52,59,96,78,105,11,33,40,47,82,74,92,75,31,73,104,110,103,57,35,4,65,27,95,5,91,102,98,19,94,111,48,99,113,1,69,12,26,30,28
1: 39,93,108,36,83,49,72,8,24,100,38,58,89,55,88,97,44,6,66,109,64,23,85,79,15,42,18,114,43,86,61,10,13,45,80,106,68,119,118,32,21,81,76,62,87,9,115,107,56,20,116,112,117,50,67,52,77,16,22,101,84,3,33,34,14,70,78,53,29,7,96,51,47,92,46,63,2,40,82,25,11,41,74,110,17,37,54,98,27,71,103,57,60,73,105,95,65,59,94,90,4,31,35,75,91,102,26,5,111,104,30,69,99,48,12,19,113,1,28
1: 108,39,36,72,93,83,49,88,8,24,58,89,38,64,85,23,42,6,109,79,44,18,55,100,86,15,97,119,114,43,68,61,10,45,13,106,32,80,118,76,66,21,56,77,3,62,20,81,101,117,116,16,87,29,22,9,115,7,70,50,107,84,14,112,67,52,2,53,34,63,46,51,33,78,96,17,41,37,47,92,40,25,11,82,54,60,71,74,110,105,59,90,103,73,57,27,31,75,98,65,95,35,4,94,91,104,102,5,111,48,99,19,26,69,113,30,12,1,28
1: 108,36,39,72,93,83,49,58,89,8,24,88,38,6,23,64,114,100,42,44,79,55,85,97,43,18,109,106,119,15,45,86,61,68,10,66,13,32,80,21,81,118,76,77,56,3,87,62,107,116,20,70,117,22,29,7,101,14,9,16,112,67,50,115,84,2,52,53,34,46,63,51,17,41,78,96,33,37,47,60,40,92,25,82,71,11,54,105,74,90,103,110,73,57,27,75,98,59,31,65,95,35,4,102,94,5,104,91,111,99,48,19,69,26,12,30,113,1,28
1: 108,39,36,93,72,83,49,88,58,8,24,89,38,42,64,23,85,18,43,44,114,79,119,6,109,86,15,97,55,100,61,68,45,106,32,13,10,3,77,56,21,118,20,80,76,66,81,117,62,116,22,29,101,107,14,70,2,9,84,87,7,115,16,67,63,52,37,46,17,41,112,53,51,50,34,25,54,92,60,96,11,71,78,33,40,47,105,90,82,59,74,110,31,35,73,103,98,104,57,75,27,65,95,4,102,94,91,5,111,48,19,99,113,69,12,26,1,30,28
1: 39,83,108,36,93,58,24,42,49,88,72,89,18,15,23,119,100,64,8,43,38,44,85,79,106,97,6,118,114,55,109,68,86,76,10,81,32,45,62,61,20,70,3,80,87,21,13,66,77,14,101,7,16,29,112,22,9,67,33,56,41,117,37,57,78,116,107,46,63,60,17,2,50,34,82,84,71,115,110,96,75,53,40,11,52,54,104,59,51,47,103,95,90,92,31,25,74,35,4,73,27,94,5,65,105,91,102,19,98,111,99,26,113,1,28,69,12,48,30
1: 39,58,108,88,83,36,93,49,72,86,18,119,10,85,106,15,24,23,42,64,8,101,87,80,32,63,6,118,43,38,61,100,97,29,112,20,3,76,16,62,68,13,89,44,79,50,7,77,71,21,110,37,96,22,41,14,109,33,17,55,116,81,60,103,53,4,70,66,11,114,78,65,40,82,99,56,115,95,75,27,91,54,90,94,45,84,73,104,117,52,102,2,57,111,74,9,67,5,69,47,105,48,98,19,34,25,92,35,28,31,51,46,1,107,59,113,12,30,26
1: 108,39,36,93,72,83,49,88,58,24,8,42,89,85,23,79,64,38,119,15,18,6,43,44,114,109,61,97,86,68,100,32,10,55,106,45,13,3,77,56,21,80,118,76,81,62,66,20,117,116,22,101,70,87,29,14,7,107,2,17,67,16,63,84,52,46,37,9,115,53,41,50,112,34,51,60,54,25,11,33,78,71,96,92,47,90,40,105,74,59,82,110,31,75,73,103,104,98,65,57,35,95,27,91,5,4,102,113,48,94,26,19,111,12,99,30,1,69,28
1: 108,39,93,36,83,8,72,89,49,6,38,24,97,44,100,58,66,88,64,114,23,15,119,55,86,68,10,45,61,79,106,109,42,21,9,85,43,13,52,18,118,87,81,107,32,115,101,62,112,50,22,80,67,76,33,3,29,34,20,56,116,16,70,7,46,14,77,117,78,96,53,51,40,2,25,92,84,37,82,47,54,63,17,11,98,110,73,57,103,74,41,27,105,65,60,75,59,90,95,71,4,26,94,5,91,104,102,31,35,48,30,99,111,69,19,12,1,113,28
1: 108,39,93,36,72,83,88,58,49,24,119,8,89,23,42,6,15,85,86,64,43,44,38,106,97,18,55,114,100,10,79,109,32,45,61,118,68,80,13,66,21,20,3,29,101,76,81,87,77,7,62,56,116,112,70,14,22,63,16,9,50,115,46,84,67,17,107,2,117,41,37,52,53,60,33,34,78,51,96,71,25,54,11,40,90,47,92,75,110,103,105,74,82,59,95,57,73,27,104,31,35,4,65,94,91,98,102,111,99,5,19,113,48,69,12,1,30,26,28
1: 39,108,36,49,93,72,83,88,58,24,8,119,42,89,6,86,23,15,85,43,106,32,55,18,38,100,44,64,114,97,10,79,101,7,29,87,3,109,13,80,81,20,16,45,76,70,50,66,68,62,61,77,63,21,14,118,60,41,112,116,56,84,46,53,22,2,17,37,9,90,51,33,52,67,115,34,71,105,110,78,74,96,11,57,75,107,25,47,82,54,92,103,59,35,40,117,4,27,104,73,99,95,91,65,111,31,113,102,94,5,19,98,48,1,69,12,26,30,28
1: 108,36,72,39,58,88,83,93,89,49,8,24,42,38,85,64,119,6,23,18,86,79,114,15,43,45,109,44,106,68,55,100,97,61,80,10,3,32,77,118,13,56,76,20,29,81,62,70,21,66,101,16,7,22,117,116,107,2,63,14,87,37,9,41,50,46,17,67,115,84,112,60,34,51,53,78,96,52,47,40,71,25,54,90,33,82,92,105,59,11,74,31,27,104,73,103,75,110,5,57,94,65,35,91,111,48,102,98,4,95,19,99,69,1,12,113,26,30,28
1: 39,108,36,88,58,83,72,49,93,24,119,106,8,23,15,87,89,42,86,43,6,79,7,38,44,85,32,97,18,29,114,112,101,64,100,55,13,118,10,21,61,3,68,109,16,20,81,63,60,62,80,45,50,70,17,76,78,33,14,77,116,41,57,37,103,90,66,54,22,96,67,56,75,110,52,51,71,105,46,84,74,9,53,82,40,115,4,25,47,2,94,107,102,99,34,92,95,104,31,11,27,91,117,65,111,5,19,73,48,59,1,35,69,12,113,98,28,30,26
1: 108,39,36,49,88,93,72,83,58,119,24,15,23,8,43,85,106,42,89,18,38,86,64,6,79,114,44,32,97,61,55,10,100,68,45,20,80,29,101,118,109,7,3,13,76,87,62,77,63,81,21,16,116,70,14,22,56,41,66,17,112,37,84,50,60,46,2,67,9,115,117,107,53,90,54,78,33,52,51,34,96,25,71,75,11,47,74,40,110,57,105,82,59,103,92,104,73,31,35,95,27,5,4,65,48,91,94,111,19,102,99,98,113,12,1,26,69,30,28
1: 108,39,36,93,72,83,49,88,58,8,24,119,89,23,42,38,55,15,114,86,6,106,100,64,43,18,85,79,32,44,97,45,10,87,21,7,3,80,13,61,109,62,81,20,68,29,76,66,101,50,116,118,70,77,112,14,63,46,84,16,9,67,56,41,2,51,37,53,60,107,71,17,33,78,22,96,115,54,110,34,25,52,90,103,57,75,74,105,40,117,82,92,47,11,95,104,4,73,35,59,27,94,98,31,91,65,99,111,102,19,5,48,12,1,69,30,113,26,28
1: 39,108,36,88,72,93,49,83,23,42,24,119,58,85,15,79,8,18,43,86,64,89,6,61,44,114,38,10,32,68,109,97,55,106,13,100,3,77,45,56,76,20,101,118,21,80,62,81,7,116,87,29,117,22,14,70,17,66,63,2,37,16,46,41,84,107,115,67,50,60,9,53,52,112,51,54,25,71,90,34,11,33,78,40,105,59,92,74,75,96,104,110,47,82,31,73,35,103,65,57,95,27,4,113,48,98,5,91,94,19,26,102,111,99,12,1,30,69,28
1: 39,36,108,93,49,83,72,24,58,88,8,119,89,42,23,85,15,43,6,18,38,100,44,97,55,106,114,64,79,10,45,61,109,80,86,101,112,20,76,87,62,81,13,70,118,29,16,68,50,21,3,77,116,66,7,32,67,9,33,17,56,46,22,14,37,63,78,84,34,107,57,53,41,96,115,40,2,75,117,60,74,71,52,47,73,90,110,82,103,11,92,31,54,51,27,105,25,95,35,4,104,59,65,94,102,91,111,19,5,99,12,48,98,69,30,1,28,26,113
1: 36,108,39,88,72,49,58,83,93,24,119,8,23,15,106,43,42,89,86,85,38,64,18,6,114,79,32,44,55,10,29,100,97,61,45,7,20,101,68,118,109,13,3,87,63,80,76,81,62,21,16,77,70,14,112,116,17,41,50,56,37,22,84,60,66,46,9,2,67,33,53,90,78,96,71,75,115,107,117,34,54,51,52,110,74,57,25,47,103,82,40,105,73,11,59,104,92,35,95,31,27,4,65,91,94,111,19,99,102,5,48,98,113,1,12,69,30,26,28
1: 108,36,39,93,83,72,58,88,8,49,24,89,38,106,6,119,23,15,43,64,114,44,42,100,79,85,18,97,55,86,45,10,32,68,109,61,29,80,118,76,87,13,66,7,81,62,70,20,101,16,112,63,3,116,77,21,14,50,22,9,56,41,78,107,84,115,96,67,17,47,33,2,34,46,117,52,60,53,37,51,82,75,57,71,90,103,40,27,74,105,110,25,11,92,73,54,95,59,94,65,35,4,91,31,111,102,98,99,104,5,19,69,12,48,113,30,1,26,28
1: 108,36,72,88,39,49,58,93,8,83,42,89,119,85,64,18,24,23,79,86,38,114,15,109,43,68,61,44,6,45,106,3,55,97,77,10,56,32,13,20,100,76,118,80,21,117,62,116,101,29,81,22,7,2,70,37,17,63,87,84,14,66,16,46,41,107,115,67,9,60,50,53,51,71,54,112,34,52,25,90,11,59,105,40,96,78,33,92,47,104,82,31,74,73,110,75,35,103,57,65,27,4,5,95,98,91,48,102,19,111,94,113,99,1,12,69,30,26,28
1: 108,88,36,72,39,49,58,93,83,24,8,119,42,89,23,85,64,15,18,38,106,86,43,79,114,6,44,32,55,61,45,109,10,68,97,100,20,3,13,118,80,76,29,77,7,101,21,81,62,87,56,63,70,116,16,14,37,17,22,2,41,84,46,50,66,112,60,117,9,67,107,53,71,115,90,34,54,51,52,78,33,96,25,105,40,59,47,11,110,75,82,74,104,57,73,92,103,31,35,27,95,65,4,91,5,94,111,19,102,98,48,99,113,1,12,69,30,26,28
1: 108,36,72,39,88,58,49,93,83,8,24,119,89,86,42,85,23,15,43,6,38,64,106,18,79,44,114,32,68,29,10,97,55,45,101,100,109,61,20,3,118,7,16,76,80,13,77,62,63,81,70,21,56,116,87,112,41,14,17,37,50,22,2,66,46,60,117,84,9,115,67,90,78,53,51,33,96,71,34,54,107,75,74,47,25,82,52,40,103,57,105,59,11,73,110,92,31,104,4,95,27,65,91,35,94,102,111,19,99,5,98,48,1,113,12,69,28,30,26