#################################################################################### #################################################################################### #################################################################################### ### ### ### ### ### TRIANGULATIONS OF AKBULUT-KIRBY SPHERES ### ### by Frank H. Lutz and Mimi Tsuruga ### ### http://matsguru.com/research/AKspheres.html ### ### ### ### name of example: ### ### ### ### AK_II_019 ### ### ### ### ### ### description: ### ### ### ### Type 2 construction of triangulation of Akbulut-Kirby sphere ### ### ### ### ### ### properties: ### ### ### ### f=(1088,16374,54636,65580,26232) ### ### H_*=(Z,0,0,0,Z) ### ### PL 4-sphere ### ### ### ### ### ### references: ### ### ### ### Frank H. Lutz and Mimi Tsuruga. ### ### Constructing complicated spheres. ### ### arXiv:1302.6856[math.CO], 2013. ### ### ### ### ### #################################################################################### #################################################################################### #################################################################################### facets:=[ [0,1,2,5,545],[0,1,2,35,575],[0,1,2,542,545],[0,1,2,542,575], [0,1,4,5,545],[0,1,4,274,814],[0,1,4,544,545],[0,1,4,544,814], [0,1,34,35,575],[0,1,34,262,532],[0,1,34,262,802],[0,1,34,304,532], [0,1,34,574,575],[0,1,34,574,802],[0,1,261,262,532],[0,1,261,262,802], [0,1,261,531,532],[0,1,261,531,1071],[0,1,261,801,802],[0,1,261,801,1071], [0,1,271,274,814],[0,1,271,304,532],[0,1,271,531,532],[0,1,271,531,1071], [0,1,271,811,814],[0,1,271,811,1071],[0,1,541,542,545],[0,1,541,542,575], [0,1,541,544,545],[0,1,541,544,814],[0,1,541,574,575],[0,1,541,574,802], [0,1,541,801,802],[0,1,541,801,1071],[0,1,541,811,814],[0,1,541,811,1071], [0,2,5,26,296],[2,5,26,296,836],[0,2,5,26,566],[2,5,26,566,836], [0,2,5,275,296],[2,5,275,296,836],[2,5,275,815,836],[0,2,5,545,566], [2,5,545,566,836],[2,5,545,815,836],[0,2,26,29,299],[2,26,29,299,839], [0,2,26,29,569],[2,26,29,569,839],[0,2,26,296,299],[2,26,296,299,839], [2,26,296,836,839],[0,2,26,566,569],[2,26,566,569,839],[2,26,566,836,839], [0,2,29,265,535],[0,2,29,265,805],[0,2,29,299,535],[0,2,29,569,805], [0,2,35,265,535],[0,2,35,265,805],[0,2,35,305,535],[0,2,35,575,805], [0,2,272,275,296],[2,272,275,296,836],[2,272,275,815,836],[0,2,272,296,299], [2,272,296,299,839],[2,272,296,836,839],[0,2,272,299,535],[0,2,272,305,535], [2,272,812,815,836],[2,272,812,836,839],[0,2,542,545,566],[2,542,545,566,836], [2,542,545,815,836],[0,2,542,566,569],[2,542,566,569,839],[2,542,566,836,839], [0,2,542,569,805],[0,2,542,575,805],[2,542,812,815,836],[2,542,812,836,839], [0,3,4,5,545],[0,3,4,274,814],[0,3,4,544,545],[0,3,4,544,814], [0,3,5,26,296],[0,3,5,26,566],[0,3,5,275,296],[0,3,5,545,566], [0,3,24,26,296],[0,3,24,26,566],[0,3,24,294,296],[0,3,24,294,834], [0,3,24,564,566],[0,3,24,564,834],[0,3,273,274,814],[0,3,273,275,296], [0,3,273,294,296],[0,3,273,294,834],[0,3,273,813,814],[0,3,273,813,834], [0,3,543,544,545],[0,3,543,544,814],[0,3,543,545,566],[0,3,543,564,566], [0,3,543,564,834],[0,3,543,813,814],[0,3,543,813,834],[0,24,26,29,299], [0,24,26,29,569],[0,24,26,296,299],[0,24,26,566,569],[0,24,27,29,299], [0,24,27,29,569],[0,24,27,297,299],[0,24,27,297,837],[0,24,27,567,569], [0,24,27,567,837],[0,24,294,296,299],[0,24,294,297,299],[0,24,294,297,837], [0,24,294,834,837],[0,24,564,566,569],[0,24,564,567,569],[0,24,564,567,837], [0,24,564,834,837],[0,27,29,265,535],[0,27,29,265,805],[0,27,29,299,535], [0,27,29,569,805],[0,27,258,262,532],[0,27,258,262,802],[0,27,258,265,535], [0,27,258,265,805],[0,27,258,528,532],[0,27,258,528,535],[0,27,258,798,802], [0,27,258,798,805],[0,27,261,262,532],[0,27,261,262,802],[0,27,261,531,532], [0,27,261,531,1071],[0,27,261,801,802],[0,27,261,801,1071],[0,27,297,299,535], [0,27,297,528,532],[0,27,297,528,535],[0,27,297,531,532],[0,27,297,531,1071], [0,27,297,837,1071],[0,27,567,569,805],[0,27,567,798,802],[0,27,567,798,805], [0,27,567,801,802],[0,27,567,801,1071],[0,27,567,837,1071],[0,33,34,35,575], [0,33,34,262,532],[0,33,34,262,802],[0,33,34,304,532],[0,33,34,574,575], [0,33,34,574,802],[0,33,35,265,535],[0,33,35,265,805],[0,33,35,305,535], [0,33,35,575,805],[0,33,258,262,532],[0,33,258,262,802],[0,33,258,265,535], [0,33,258,265,805],[0,33,258,528,532],[0,33,258,528,535],[0,33,258,798,802], [0,33,258,798,805],[0,33,303,304,532],[0,33,303,305,535],[0,33,303,528,532], [0,33,303,528,535],[0,33,573,574,575],[0,33,573,574,802],[0,33,573,575,805], [0,33,573,798,802],[0,33,573,798,805],[270,271,272,275,815],[270,271,272,305,845], [270,271,272,812,815],[270,271,272,812,845],[270,271,274,275,815],[0,270,271,274,814], [270,271,274,814,815],[270,271,304,305,845],[0,270,271,304,532],[270,271,304,532,1072], [270,271,304,844,845],[270,271,304,844,1072],[0,270,271,531,532],[270,271,531,532,1072], [0,270,271,531,1071],[270,271,531,1071,1072],[270,271,811,812,815],[270,271,811,812,845], [0,270,271,811,814],[270,271,811,814,815],[270,271,811,844,845],[270,271,811,844,1072], [0,270,271,811,1071],[270,271,811,1071,1072],[0,270,272,275,296],[270,272,275,296,836], [270,272,275,815,836],[0,270,272,296,299],[270,272,296,299,839],[270,272,296,836,839], [0,270,272,299,535],[270,272,299,535,1075],[270,272,299,839,1075],[0,270,272,305,535], [270,272,305,535,1075],[270,272,305,845,1075],[270,272,812,815,836],[270,272,812,836,839], [270,272,812,839,1075],[270,272,812,845,1075],[270,273,274,275,815],[0,270,273,274,814], [270,273,274,814,815],[0,270,273,275,296],[270,273,275,296,836],[270,273,275,815,836], [0,270,273,294,296],[270,273,294,296,836],[0,270,273,294,834],[270,273,294,834,836], [0,270,273,813,814],[270,273,813,814,815],[270,273,813,815,836],[0,270,273,813,834], [270,273,813,834,836],[0,270,294,296,299],[270,294,296,299,839],[270,294,296,836,839], [0,270,294,297,299],[270,294,297,299,839],[0,270,294,297,837],[270,294,297,837,839], [270,294,834,836,839],[0,270,294,834,837],[270,294,834,837,839],[0,270,297,299,535], [270,297,299,535,1075],[270,297,299,839,1075],[0,270,297,528,532],[270,297,528,532,1072], [0,270,297,528,535],[270,297,528,535,1075],[270,297,528,1068,1072],[270,297,528,1068,1075], [0,270,297,531,532],[270,297,531,532,1072],[0,270,297,531,1071],[270,297,531,1071,1072], [270,297,837,839,1075],[270,297,837,1068,1072],[270,297,837,1068,1075],[0,270,297,837,1071], [270,297,837,1071,1072],[270,303,304,305,845],[0,270,303,304,532],[270,303,304,532,1072], [270,303,304,844,845],[270,303,304,844,1072],[0,270,303,305,535],[270,303,305,535,1075], [270,303,305,845,1075],[0,270,303,528,532],[270,303,528,532,1072],[0,270,303,528,535], [270,303,528,535,1075],[270,303,528,1068,1072],[270,303,528,1068,1075],[270,303,843,844,845], [270,303,843,844,1072],[270,303,843,845,1075],[270,303,843,1068,1072],[270,303,843,1068,1075], [270,810,811,812,815],[270,810,811,812,845],[0,270,810,811,814],[270,810,811,814,815], [270,810,811,844,845],[270,810,811,844,1072],[0,270,810,811,1071],[270,810,811,1071,1072], [270,810,812,815,836],[270,810,812,836,839],[270,810,812,839,1075],[270,810,812,845,1075], [0,270,810,813,814],[270,810,813,814,815],[270,810,813,815,836],[0,270,810,813,834], [270,810,813,834,836],[270,810,834,836,839],[0,270,810,834,837],[270,810,834,837,839], [270,810,837,839,1075],[270,810,837,1068,1072],[270,810,837,1068,1075],[0,270,810,837,1071], [270,810,837,1071,1072],[270,810,843,844,845],[270,810,843,844,1072],[270,810,843,845,1075], [270,810,843,1068,1072],[270,810,843,1068,1075],[0,540,541,542,545],[540,541,542,545,815], [0,540,541,542,575],[540,541,542,575,845],[540,541,542,812,815],[540,541,542,812,845], [0,540,541,544,545],[540,541,544,545,815],[0,540,541,544,814],[540,541,544,814,815], [0,540,541,574,575],[540,541,574,575,845],[0,540,541,574,802],[540,541,574,802,1072], [540,541,574,844,845],[540,541,574,844,1072],[0,540,541,801,802],[540,541,801,802,1072], [0,540,541,801,1071],[540,541,801,1071,1072],[540,541,811,812,815],[540,541,811,812,845], [0,540,541,811,814],[540,541,811,814,815],[540,541,811,844,845],[540,541,811,844,1072], [0,540,541,811,1071],[540,541,811,1071,1072],[0,540,542,545,566],[540,542,545,566,836], [540,542,545,815,836],[0,540,542,566,569],[540,542,566,569,839],[540,542,566,836,839], [0,540,542,569,805],[540,542,569,805,1075],[540,542,569,839,1075],[0,540,542,575,805], [540,542,575,805,1075],[540,542,575,845,1075],[540,542,812,815,836],[540,542,812,836,839], [540,542,812,839,1075],[540,542,812,845,1075],[0,540,543,544,545],[540,543,544,545,815], [0,540,543,544,814],[540,543,544,814,815],[0,540,543,545,566],[540,543,545,566,836], [540,543,545,815,836],[0,540,543,564,566],[540,543,564,566,836],[0,540,543,564,834], [540,543,564,834,836],[0,540,543,813,814],[540,543,813,814,815],[540,543,813,815,836], [0,540,543,813,834],[540,543,813,834,836],[0,540,564,566,569],[540,564,566,569,839], [540,564,566,836,839],[0,540,564,567,569],[540,564,567,569,839],[0,540,564,567,837], [540,564,567,837,839],[540,564,834,836,839],[0,540,564,834,837],[540,564,834,837,839], [0,540,567,569,805],[540,567,569,805,1075],[540,567,569,839,1075],[0,540,567,798,802], [540,567,798,802,1072],[0,540,567,798,805],[540,567,798,805,1075],[540,567,798,1068,1072], [540,567,798,1068,1075],[0,540,567,801,802],[540,567,801,802,1072],[0,540,567,801,1071], [540,567,801,1071,1072],[540,567,837,839,1075],[540,567,837,1068,1072],[540,567,837,1068,1075], [0,540,567,837,1071],[540,567,837,1071,1072],[0,540,573,574,575],[540,573,574,575,845], [0,540,573,574,802],[540,573,574,802,1072],[540,573,574,844,845],[540,573,574,844,1072], [0,540,573,575,805],[540,573,575,805,1075],[540,573,575,845,1075],[0,540,573,798,802], [540,573,798,802,1072],[0,540,573,798,805],[540,573,798,805,1075],[540,573,798,1068,1072], [540,573,798,1068,1075],[540,573,843,844,845],[540,573,843,844,1072],[540,573,843,845,1075], [540,573,843,1068,1072],[540,573,843,1068,1075],[540,810,811,812,815],[540,810,811,812,845], [0,540,810,811,814],[540,810,811,814,815],[540,810,811,844,845],[540,810,811,844,1072], [0,540,810,811,1071],[540,810,811,1071,1072],[540,810,812,815,836],[540,810,812,836,839], [540,810,812,839,1075],[540,810,812,845,1075],[0,540,810,813,814],[540,810,813,814,815], [540,810,813,815,836],[0,540,810,813,834],[540,810,813,834,836],[540,810,834,836,839], [0,540,810,834,837],[540,810,834,837,839],[540,810,837,839,1075],[540,810,837,1068,1072], [540,810,837,1068,1075],[0,540,810,837,1071],[540,810,837,1071,1072],[540,810,843,844,845], [540,810,843,844,1072],[540,810,843,845,1075],[540,810,843,1068,1072],[540,810,843,1068,1075], [1,2,5,41,311],[2,5,41,311,851],[1,2,5,41,581],[2,5,41,581,851], [1,2,5,275,311],[2,5,275,311,851],[2,5,275,815,851],[1,2,5,545,581], [2,5,545,581,851],[2,5,545,815,851],[1,2,35,265,535],[1,2,35,265,805], [1,2,35,305,535],[1,2,35,575,805],[1,2,38,41,311],[2,38,41,311,851], [1,2,38,41,581],[2,38,41,581,851],[1,2,38,268,538],[1,2,38,268,808], [1,2,38,308,311],[2,38,308,311,851],[1,2,38,308,538],[2,38,308,848,851], [1,2,38,578,581],[2,38,578,581,851],[1,2,38,578,808],[2,38,578,848,851], [1,2,264,265,535],[1,2,264,265,805],[1,2,264,268,538],[1,2,264,268,808], [1,2,264,534,535],[1,2,264,534,538],[1,2,264,804,805],[1,2,264,804,808], [1,2,272,275,311],[2,272,275,311,851],[2,272,275,815,851],[1,2,272,305,535], [1,2,272,308,311],[2,272,308,311,851],[1,2,272,308,538],[2,272,308,848,851], [1,2,272,534,535],[1,2,272,534,538],[2,272,812,815,851],[2,272,812,848,851], [1,2,542,545,581],[2,542,545,581,851],[2,542,545,815,851],[1,2,542,575,805], [1,2,542,578,581],[2,542,578,581,851],[1,2,542,578,808],[2,542,578,848,851], [1,2,542,804,805],[1,2,542,804,808],[2,542,812,815,851],[2,542,812,848,851], [1,4,5,41,311],[1,4,5,41,581],[1,4,5,275,311],[1,4,5,545,581], [1,4,39,41,311],[1,4,39,41,581],[1,4,39,309,311],[1,4,39,309,849], [1,4,39,579,581],[1,4,39,579,849],[1,4,274,275,311],[1,4,274,309,311], [1,4,274,309,849],[1,4,274,814,849],[1,4,544,545,581],[1,4,544,579,581], [1,4,544,579,849],[1,4,544,814,849],[1,34,35,265,535],[1,34,35,265,805], [1,34,35,305,535],[1,34,35,575,805],[1,34,259,262,532],[1,34,259,262,802], [1,34,259,265,535],[1,34,259,265,805],[1,34,259,529,532],[1,34,259,529,535], [1,34,259,799,802],[1,34,259,799,805],[1,34,304,305,535],[1,34,304,529,532], [1,34,304,529,535],[1,34,574,575,805],[1,34,574,799,802],[1,34,574,799,805], [1,36,38,41,311],[1,36,38,41,581],[1,36,38,268,538],[1,36,38,268,808], [1,36,38,308,311],[1,36,38,308,538],[1,36,38,578,581],[1,36,38,578,808], [1,36,39,41,311],[1,36,39,41,581],[1,36,39,309,311],[1,36,39,309,849], [1,36,39,579,581],[1,36,39,579,849],[1,36,259,262,532],[1,36,259,262,802], [1,36,259,265,535],[1,36,259,265,805],[1,36,259,529,532],[1,36,259,529,535], [1,36,259,799,802],[1,36,259,799,805],[1,36,261,262,532],[1,36,261,262,802], [1,36,261,531,532],[1,36,261,531,1071],[1,36,261,801,802],[1,36,261,801,1071], [1,36,264,265,535],[1,36,264,265,805],[1,36,264,268,538],[1,36,264,268,808], [1,36,264,534,535],[1,36,264,534,538],[1,36,264,804,805],[1,36,264,804,808], [1,36,306,308,311],[1,36,306,308,538],[1,36,306,309,311],[1,36,306,309,849], [1,36,306,529,532],[1,36,306,529,535],[1,36,306,531,532],[1,36,306,531,1071], [1,36,306,534,535],[1,36,306,534,538],[1,36,306,846,849],[1,36,306,846,1071], [1,36,576,578,581],[1,36,576,578,808],[1,36,576,579,581],[1,36,576,579,849], 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[213,216,756,757,758],[213,216,756,757,1027],[213,216,756,758,764],[213,216,756,763,764], [213,216,756,763,1033],[213,216,756,1026,1027],[213,216,756,1026,1033],[213,220,221,224,494], [213,220,221,224,764],[213,220,221,491,494],[213,220,221,761,764],[213,220,223,224,494], [213,220,223,224,764],[213,220,223,493,494],[213,220,223,493,1033],[213,220,223,763,764], [213,220,223,763,1033],[213,220,490,491,494],[213,220,490,493,494],[213,220,490,493,1033], [213,220,490,1030,1033],[213,220,760,761,764],[213,220,760,763,764],[213,220,760,763,1033], [213,220,760,1030,1033],[483,484,485,488,1028],[483,484,485,1025,1028],[483,484,487,488,1028], [213,483,484,487,1027],[483,484,487,1027,1028],[483,484,1024,1025,1028],[213,483,484,1024,1027], [483,484,1024,1027,1028],[213,483,485,488,494],[483,485,488,494,1034],[483,485,488,1028,1034], [213,483,485,491,494],[483,485,491,494,1034],[483,485,491,1031,1034],[483,485,1025,1028,1034], 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[215,755,758,764,805],[755,758,764,805,1075],[755,758,764,1034,1075],[755,758,1028,1034,1075], [215,755,761,764,805],[755,761,764,805,1075],[755,761,764,1034,1075],[215,755,761,803,805], [755,761,803,805,1075],[215,755,761,803,808],[755,761,803,808,1078],[755,761,803,1073,1075], [755,761,803,1073,1078],[215,755,761,807,808],[755,761,807,808,1078],[215,755,761,807,1077], [755,761,807,1077,1078],[755,761,1031,1034,1075],[755,761,1031,1073,1075],[755,761,1031,1073,1078], [215,755,761,1031,1077],[755,761,1031,1077,1078],[755,1025,1028,1034,1075],[755,1025,1031,1034,1075], [755,1025,1031,1073,1075],[755,1025,1031,1073,1078],[215,755,1025,1031,1077],[755,1025,1031,1077,1078], [216,217,218,221,761],[216,217,218,758,761],[216,217,220,221,761],[216,217,220,490,1030], [216,217,220,760,761],[216,217,220,760,1030],[216,217,487,490,1030],[216,217,487,1027,1030], [216,217,757,758,761],[216,217,757,760,761],[216,217,757,760,1030],[216,217,757,1027,1030], [216,218,221,227,497],[218,221,227,497,1037],[216,218,221,227,767],[218,221,227,767,1037], [216,218,221,491,497],[218,221,491,497,1037],[218,221,491,1031,1037],[216,218,221,761,767], [218,221,761,767,1037],[218,221,761,1031,1037],[216,218,224,227,497],[218,224,227,497,1037], [216,218,224,227,767],[218,224,227,767,1037],[216,218,224,494,497],[218,224,494,497,1037], [218,224,494,1034,1037],[216,218,224,764,767],[218,224,764,767,1037],[218,224,764,1034,1037], [216,218,488,491,497],[218,488,491,497,1037],[218,488,491,1031,1037],[216,218,488,494,497], [218,488,494,497,1037],[218,488,494,1034,1037],[218,488,1028,1031,1037],[218,488,1028,1034,1037], [216,218,758,761,767],[218,758,761,767,1037],[218,758,761,1031,1037],[216,218,758,764,767], [218,758,764,767,1037],[218,758,764,1034,1037],[218,758,1028,1031,1037],[218,758,1028,1034,1037], [216,219,220,221,761],[216,219,220,490,1030],[216,219,220,760,761],[216,219,220,760,1030], 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[225,227,230,236,506],[225,227,230,236,776],[225,227,230,500,506],[225,227,230,770,776], [225,227,233,236,506],[225,227,233,236,776],[225,227,233,503,506],[225,227,233,773,776], [225,227,497,500,506],[225,227,497,503,506],[225,227,767,770,776],[225,227,767,773,776], [225,228,229,230,770],[225,228,229,499,1039],[225,228,229,769,770],[225,228,229,769,1039], [225,228,230,236,506],[225,228,230,236,776],[225,228,230,500,506],[225,228,230,770,776], [225,228,235,236,506],[225,228,235,236,776],[225,228,235,505,506],[225,228,235,505,1045], [225,228,235,775,776],[225,228,235,775,1045],[225,228,498,499,1039],[225,228,498,500,506], [225,228,498,505,506],[225,228,498,505,1045],[225,228,498,1038,1039],[225,228,498,1038,1045], [225,228,768,769,770],[225,228,768,769,1039],[225,228,768,770,776],[225,228,768,775,776], [225,228,768,775,1045],[225,228,768,1038,1039],[225,228,768,1038,1045],[225,232,233,236,506], [225,232,233,236,776],[225,232,233,503,506],[225,232,233,773,776],[225,232,235,236,506], [225,232,235,236,776],[225,232,235,505,506],[225,232,235,505,1045],[225,232,235,775,776], [225,232,235,775,1045],[225,232,502,503,506],[225,232,502,505,506],[225,232,502,505,1045], [225,232,502,1042,1045],[225,232,772,773,776],[225,232,772,775,776],[225,232,772,775,1045], [225,232,772,1042,1045],[495,496,497,500,1040],[495,496,497,1037,1040],[495,496,499,500,1040], [225,495,496,499,1039],[495,496,499,1039,1040],[495,496,1036,1037,1040],[225,495,496,1036,1039], [495,496,1036,1039,1040],[225,495,497,500,506],[495,497,500,506,1046],[495,497,500,1040,1046], [225,495,497,503,506],[495,497,503,506,1046],[495,497,503,1043,1046],[495,497,1037,1040,1046], [495,497,1037,1043,1046],[495,498,499,500,1040],[225,495,498,499,1039],[495,498,499,1039,1040], [225,495,498,500,506],[495,498,500,506,1046],[495,498,500,1040,1046],[225,495,498,505,506], [495,498,505,506,1046],[225,495,498,505,1045],[495,498,505,1045,1046],[225,495,498,1038,1039], [495,498,1038,1039,1040],[495,498,1038,1040,1046],[225,495,498,1038,1045],[495,498,1038,1045,1046], [225,495,502,503,506],[495,502,503,506,1046],[495,502,503,1043,1046],[225,495,502,505,506], [495,502,505,506,1046],[225,495,502,505,1045],[495,502,505,1045,1046],[495,502,1042,1043,1046], [225,495,502,1042,1045],[495,502,1042,1045,1046],[495,1035,1036,1037,1040],[225,495,1035,1036,1039], [495,1035,1036,1039,1040],[495,1035,1037,1040,1046],[495,1035,1037,1043,1046],[225,495,1035,1038,1039], [495,1035,1038,1039,1040],[495,1035,1038,1040,1046],[225,495,1035,1038,1045],[495,1035,1038,1045,1046], [495,1035,1042,1043,1046],[225,495,1035,1042,1045],[495,1035,1042,1045,1046],[225,765,766,767,770], [765,766,767,770,1040],[765,766,767,1037,1040],[225,765,766,769,770],[765,766,769,770,1040], [225,765,766,769,1039],[765,766,769,1039,1040],[765,766,1036,1037,1040],[225,765,766,1036,1039], [765,766,1036,1039,1040],[225,765,767,770,776],[765,767,770,776,1046],[765,767,770,1040,1046], [225,765,767,773,776],[765,767,773,776,1046],[765,767,773,1043,1046],[765,767,1037,1040,1046], [765,767,1037,1043,1046],[225,765,768,769,770],[765,768,769,770,1040],[225,765,768,769,1039], [765,768,769,1039,1040],[225,765,768,770,776],[765,768,770,776,1046],[765,768,770,1040,1046], [225,765,768,775,776],[765,768,775,776,1046],[225,765,768,775,1045],[765,768,775,1045,1046], [225,765,768,1038,1039],[765,768,1038,1039,1040],[765,768,1038,1040,1046],[225,765,768,1038,1045], [765,768,1038,1045,1046],[225,765,772,773,776],[765,772,773,776,1046],[765,772,773,1043,1046], [225,765,772,775,776],[765,772,775,776,1046],[225,765,772,775,1045],[765,772,775,1045,1046], [765,772,1042,1043,1046],[225,765,772,1042,1045],[765,772,1042,1045,1046],[765,1035,1036,1037,1040], [225,765,1035,1036,1039],[765,1035,1036,1039,1040],[765,1035,1037,1040,1046],[765,1035,1037,1043,1046], [225,765,1035,1038,1039],[765,1035,1038,1039,1040],[765,1035,1038,1040,1046],[225,765,1035,1038,1045], [765,1035,1038,1045,1046],[765,1035,1042,1043,1046],[225,765,1035,1042,1045],[765,1035,1042,1045,1046], [227,230,236,265,535],[227,230,236,265,805],[227,230,236,506,535],[227,230,236,776,805], [227,230,500,506,535],[227,230,770,776,805],[227,233,236,265,535],[227,233,236,265,805], [227,233,236,506,535],[227,233,236,776,805],[227,233,263,265,535],[227,233,263,265,805], [227,233,263,268,538],[227,233,263,268,808],[227,233,263,533,535],[227,233,263,533,538], [227,233,263,803,805],[227,233,263,803,808],[227,233,267,268,538],[227,233,267,268,808], [227,233,267,537,538],[227,233,267,537,1077],[227,233,267,807,808],[227,233,267,807,1077], [227,233,503,506,535],[227,233,503,533,535],[227,233,503,533,538],[227,233,503,537,538], [227,233,503,537,1077],[227,233,503,1043,1077],[227,233,773,776,805],[227,233,773,803,805], [227,233,773,803,808],[227,233,773,807,808],[227,233,773,807,1077],[227,233,773,1043,1077], [227,497,500,506,535],[497,500,506,535,1075],[497,500,506,1046,1075],[497,500,1040,1046,1075], [227,497,503,506,535],[497,503,506,535,1075],[497,503,506,1046,1075],[227,497,503,533,535], [497,503,533,535,1075],[227,497,503,533,538],[497,503,533,538,1078],[497,503,533,1073,1075], [497,503,533,1073,1078],[227,497,503,537,538],[497,503,537,538,1078],[227,497,503,537,1077], [497,503,537,1077,1078],[497,503,1043,1046,1075],[497,503,1043,1073,1075],[497,503,1043,1073,1078], [227,497,503,1043,1077],[497,503,1043,1077,1078],[497,1037,1040,1046,1075],[497,1037,1043,1046,1075], [497,1037,1043,1073,1075],[497,1037,1043,1073,1078],[227,497,1037,1043,1077],[497,1037,1043,1077,1078], [227,767,770,776,805],[767,770,776,805,1075],[767,770,776,1046,1075],[767,770,1040,1046,1075], [227,767,773,776,805],[767,773,776,805,1075],[767,773,776,1046,1075],[227,767,773,803,805], [767,773,803,805,1075],[227,767,773,803,808],[767,773,803,808,1078],[767,773,803,1073,1075], [767,773,803,1073,1078],[227,767,773,807,808],[767,773,807,808,1078],[227,767,773,807,1077], [767,773,807,1077,1078],[767,773,1043,1046,1075],[767,773,1043,1073,1075],[767,773,1043,1073,1078], [227,767,773,1043,1077],[767,773,1043,1077,1078],[767,1037,1040,1046,1075],[767,1037,1043,1046,1075], [767,1037,1043,1073,1075],[767,1037,1043,1073,1078],[227,767,1037,1043,1077],[767,1037,1043,1077,1078], [228,229,230,233,773],[228,229,230,770,773],[228,229,232,233,773],[228,229,232,502,1042], [228,229,232,772,773],[228,229,232,772,1042],[228,229,499,502,1042],[228,229,499,1039,1042], [228,229,769,770,773],[228,229,769,772,773],[228,229,769,772,1042],[228,229,769,1039,1042], [228,230,233,239,509],[230,233,239,509,1049],[228,230,233,239,779],[230,233,239,779,1049], [228,230,233,503,509],[230,233,503,509,1049],[230,233,503,1043,1049],[228,230,233,773,779], [230,233,773,779,1049],[230,233,773,1043,1049],[228,230,236,239,509],[230,236,239,509,1049], [228,230,236,239,779],[230,236,239,779,1049],[228,230,236,506,509],[230,236,506,509,1049], [230,236,506,1046,1049],[228,230,236,776,779],[230,236,776,779,1049],[230,236,776,1046,1049], [228,230,500,503,509],[230,500,503,509,1049],[230,500,503,1043,1049],[228,230,500,506,509], [230,500,506,509,1049],[230,500,506,1046,1049],[230,500,1040,1043,1049],[230,500,1040,1046,1049], [228,230,770,773,779],[230,770,773,779,1049],[230,770,773,1043,1049],[228,230,770,776,779], [230,770,776,779,1049],[230,770,776,1046,1049],[230,770,1040,1043,1049],[230,770,1040,1046,1049], [228,231,232,233,773],[228,231,232,502,1042],[228,231,232,772,773],[228,231,232,772,1042], [228,231,233,239,509],[228,231,233,239,779],[228,231,233,503,509],[228,231,233,773,779], [228,231,238,239,509],[228,231,238,239,779],[228,231,238,508,509],[228,231,238,508,1048], [228,231,238,778,779],[228,231,238,778,1048],[228,231,501,502,1042],[228,231,501,503,509], [228,231,501,508,509],[228,231,501,508,1048],[228,231,501,1041,1042],[228,231,501,1041,1048], [228,231,771,772,773],[228,231,771,772,1042],[228,231,771,773,779],[228,231,771,778,779], [228,231,771,778,1048],[228,231,771,1041,1042],[228,231,771,1041,1048],[228,235,236,239,509], [228,235,236,239,779],[228,235,236,506,509],[228,235,236,776,779],[228,235,238,239,509], [228,235,238,239,779],[228,235,238,508,509],[228,235,238,508,1048],[228,235,238,778,779], [228,235,238,778,1048],[228,235,505,506,509],[228,235,505,508,509],[228,235,505,508,1048], [228,235,505,1045,1048],[228,235,775,776,779],[228,235,775,778,779],[228,235,775,778,1048], [228,235,775,1045,1048],[498,499,500,503,1043],[498,499,500,1040,1043],[498,499,502,503,1043], [228,498,499,502,1042],[498,499,502,1042,1043],[498,499,1039,1040,1043],[228,498,499,1039,1042], [498,499,1039,1042,1043],[228,498,500,503,509],[498,500,503,509,1049],[498,500,503,1043,1049], [228,498,500,506,509],[498,500,506,509,1049],[498,500,506,1046,1049],[498,500,1040,1043,1049], [498,500,1040,1046,1049],[498,501,502,503,1043],[228,498,501,502,1042],[498,501,502,1042,1043], [228,498,501,503,509],[498,501,503,509,1049],[498,501,503,1043,1049],[228,498,501,508,509], [498,501,508,509,1049],[228,498,501,508,1048],[498,501,508,1048,1049],[228,498,501,1041,1042], [498,501,1041,1042,1043],[498,501,1041,1043,1049],[228,498,501,1041,1048],[498,501,1041,1048,1049], [228,498,505,506,509],[498,505,506,509,1049],[498,505,506,1046,1049],[228,498,505,508,509], [498,505,508,509,1049],[228,498,505,508,1048],[498,505,508,1048,1049],[498,505,1045,1046,1049], [228,498,505,1045,1048],[498,505,1045,1048,1049],[498,1038,1039,1040,1043],[228,498,1038,1039,1042], [498,1038,1039,1042,1043],[498,1038,1040,1043,1049],[498,1038,1040,1046,1049],[228,498,1038,1041,1042], [498,1038,1041,1042,1043],[498,1038,1041,1043,1049],[228,498,1038,1041,1048],[498,1038,1041,1048,1049], [498,1038,1045,1046,1049],[228,498,1038,1045,1048],[498,1038,1045,1048,1049],[228,768,769,770,773], [768,769,770,773,1043],[768,769,770,1040,1043],[228,768,769,772,773],[768,769,772,773,1043], [228,768,769,772,1042],[768,769,772,1042,1043],[768,769,1039,1040,1043],[228,768,769,1039,1042], [768,769,1039,1042,1043],[228,768,770,773,779],[768,770,773,779,1049],[768,770,773,1043,1049], [228,768,770,776,779],[768,770,776,779,1049],[768,770,776,1046,1049],[768,770,1040,1043,1049], [768,770,1040,1046,1049],[228,768,771,772,773],[768,771,772,773,1043],[228,768,771,772,1042], [768,771,772,1042,1043],[228,768,771,773,779],[768,771,773,779,1049],[768,771,773,1043,1049], [228,768,771,778,779],[768,771,778,779,1049],[228,768,771,778,1048],[768,771,778,1048,1049], [228,768,771,1041,1042],[768,771,1041,1042,1043],[768,771,1041,1043,1049],[228,768,771,1041,1048], [768,771,1041,1048,1049],[228,768,775,776,779],[768,775,776,779,1049],[768,775,776,1046,1049], [228,768,775,778,779],[768,775,778,779,1049],[228,768,775,778,1048],[768,775,778,1048,1049], [768,775,1045,1046,1049],[228,768,775,1045,1048],[768,775,1045,1048,1049],[768,1038,1039,1040,1043], [228,768,1038,1039,1042],[768,1038,1039,1042,1043],[768,1038,1040,1043,1049],[768,1038,1040,1046,1049], [228,768,1038,1041,1042],[768,1038,1041,1042,1043],[768,1038,1041,1043,1049],[228,768,1038,1041,1048], [768,1038,1041,1048,1049],[768,1038,1045,1046,1049],[228,768,1038,1045,1048],[768,1038,1045,1048,1049], [230,236,264,265,535],[230,236,264,265,805],[230,236,264,268,538],[230,236,264,268,808], [230,236,264,534,535],[230,236,264,534,538],[230,236,264,804,805],[230,236,264,804,808], [230,236,267,268,538],[230,236,267,268,808],[230,236,267,537,538],[230,236,267,537,1077], [230,236,267,807,808],[230,236,267,807,1077],[230,236,506,534,535],[230,236,506,534,538], [230,236,506,537,538],[230,236,506,537,1077],[230,236,506,1046,1077],[230,236,776,804,805], [230,236,776,804,808],[230,236,776,807,808],[230,236,776,807,1077],[230,236,776,1046,1077], [230,500,506,534,535],[500,506,534,535,1075],[230,500,506,534,538],[500,506,534,538,1078], [500,506,534,1074,1075],[500,506,534,1074,1078],[230,500,506,537,538],[500,506,537,538,1078], [230,500,506,537,1077],[500,506,537,1077,1078],[500,506,1046,1074,1075],[500,506,1046,1074,1078], [230,500,506,1046,1077],[500,506,1046,1077,1078],[500,1040,1046,1074,1075],[500,1040,1046,1074,1078], [230,500,1040,1046,1077],[500,1040,1046,1077,1078],[230,770,776,804,805],[770,776,804,805,1075], [230,770,776,804,808],[770,776,804,808,1078],[770,776,804,1074,1075],[770,776,804,1074,1078], [230,770,776,807,808],[770,776,807,808,1078],[230,770,776,807,1077],[770,776,807,1077,1078], [770,776,1046,1074,1075],[770,776,1046,1074,1078],[230,770,776,1046,1077],[770,776,1046,1077,1078], [770,1040,1046,1074,1075],[770,1040,1046,1074,1078],[230,770,1040,1046,1077],[770,1040,1046,1077,1078], [231,232,233,236,776],[231,232,233,773,776],[231,232,235,236,776],[231,232,235,505,1045], [231,232,235,775,776],[231,232,235,775,1045],[231,232,502,505,1045],[231,232,502,1042,1045], [231,232,772,773,776],[231,232,772,775,776],[231,232,772,775,1045],[231,232,772,1042,1045], [231,233,236,242,512],[231,233,236,242,782],[231,233,236,506,512],[231,233,236,776,782], [231,233,239,242,512],[231,233,239,242,782],[231,233,239,509,512],[231,233,239,779,782], [231,233,503,506,512],[231,233,503,509,512],[231,233,773,776,782],[231,233,773,779,782], [231,234,235,236,776],[231,234,235,505,1045],[231,234,235,775,776],[231,234,235,775,1045], [231,234,236,242,512],[231,234,236,242,782],[231,234,236,506,512],[231,234,236,776,782], [231,234,241,242,512],[231,234,241,242,782],[231,234,241,511,512],[231,234,241,511,1051], [231,234,241,781,782],[231,234,241,781,1051],[231,234,504,505,1045],[231,234,504,506,512], [231,234,504,511,512],[231,234,504,511,1051],[231,234,504,1044,1045],[231,234,504,1044,1051], [231,234,774,775,776],[231,234,774,775,1045],[231,234,774,776,782],[231,234,774,781,782], [231,234,774,781,1051],[231,234,774,1044,1045],[231,234,774,1044,1051],[231,238,239,242,512], [231,238,239,242,782],[231,238,239,509,512],[231,238,239,779,782],[231,238,241,242,512], [231,238,241,242,782],[231,238,241,511,512],[231,238,241,511,1051],[231,238,241,781,782], [231,238,241,781,1051],[231,238,508,509,512],[231,238,508,511,512],[231,238,508,511,1051], [231,238,508,1048,1051],[231,238,778,779,782],[231,238,778,781,782],[231,238,778,781,1051], [231,238,778,1048,1051],[501,502,503,506,1046],[501,502,503,1043,1046],[501,502,505,506,1046], [231,501,502,505,1045],[501,502,505,1045,1046],[501,502,1042,1043,1046],[231,501,502,1042,1045], [501,502,1042,1045,1046],[231,501,503,506,512],[501,503,506,512,1052],[501,503,506,1046,1052], [231,501,503,509,512],[501,503,509,512,1052],[501,503,509,1049,1052],[501,503,1043,1046,1052], 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[236,776,782,807,808],[776,782,807,808,1078],[236,776,782,807,1077],[776,782,807,1077,1078], [776,782,1052,1074,1075],[776,782,1052,1074,1078],[236,776,782,1052,1077],[776,782,1052,1077,1078], [776,1046,1052,1074,1075],[776,1046,1052,1074,1078],[236,776,1046,1052,1077],[776,1046,1052,1077,1078], [237,238,239,242,782],[237,238,239,779,782],[237,238,241,242,782],[237,238,241,511,1051], [237,238,241,781,782],[237,238,241,781,1051],[237,238,508,511,1051],[237,238,508,1048,1051], [237,238,778,779,782],[237,238,778,781,782],[237,238,778,781,1051],[237,238,778,1048,1051], [237,239,242,248,518],[237,239,242,248,788],[237,239,242,512,518],[237,239,242,782,788], [237,239,245,248,518],[237,239,245,248,788],[237,239,245,515,518],[237,239,245,785,788], [237,239,509,512,518],[237,239,509,515,518],[237,239,779,782,788],[237,239,779,785,788], [237,240,241,242,782],[237,240,241,511,1051],[237,240,241,781,782],[237,240,241,781,1051], [237,240,242,248,518],[237,240,242,248,788],[237,240,242,512,518],[237,240,242,782,788], [237,240,247,248,518],[237,240,247,248,788],[237,240,247,517,518],[237,240,247,517,1057], [237,240,247,787,788],[237,240,247,787,1057],[237,240,510,511,1051],[237,240,510,512,518], [237,240,510,517,518],[237,240,510,517,1057],[237,240,510,1050,1051],[237,240,510,1050,1057], [237,240,780,781,782],[237,240,780,781,1051],[237,240,780,782,788],[237,240,780,787,788], [237,240,780,787,1057],[237,240,780,1050,1051],[237,240,780,1050,1057],[237,244,245,248,518], [237,244,245,248,788],[237,244,245,515,518],[237,244,245,785,788],[237,244,247,248,518], [237,244,247,248,788],[237,244,247,517,518],[237,244,247,517,1057],[237,244,247,787,788], [237,244,247,787,1057],[237,244,514,515,518],[237,244,514,517,518],[237,244,514,517,1057], [237,244,514,1054,1057],[237,244,784,785,788],[237,244,784,787,788],[237,244,784,787,1057], 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[18,19,22,1080,1081],[19,22,23,1080,1081],[18,21,22,23,1081],[18,21,22,1080,1081], [21,22,23,26,1081],[22,23,26,1080,1081],[21,22,25,26,1081],[21,22,25,1080,1081], [22,25,26,1080,1081],[21,24,25,26,1081],[21,24,25,1080,1081],[24,25,26,29,1081], [25,26,29,1080,1081],[24,25,28,29,1081],[24,25,28,1080,1081],[25,28,29,1080,1081], [24,27,28,29,1081],[24,27,28,1080,1081],[27,28,29,32,1081],[28,29,32,1080,1081], [27,28,31,32,1081],[27,28,31,1080,1081],[28,31,32,1080,1081],[27,30,31,32,1081], [27,30,31,1080,1081],[30,31,32,35,1081],[31,32,35,1080,1081],[30,31,34,35,1081], [30,31,34,1080,1081],[31,34,35,1080,1081],[30,33,34,35,1081],[30,33,34,1080,1081], [0,2,5,1080,1082],[0,2,5,1081,1082],[2,5,1080,1081,1082],[0,2,35,1080,1082], [0,2,35,1081,1082],[2,35,1080,1081,1082],[0,3,5,1080,1082],[0,3,5,1081,1082], [0,33,35,1080,1082],[0,33,35,1081,1082],[3,5,8,1080,1082],[3,5,8,1081,1082], [5,8,1080,1081,1082],[3,6,8,1080,1082],[3,6,8,1081,1082],[6,8,11,1080,1082], [6,8,11,1081,1082],[8,11,1080,1081,1082],[6,9,11,1080,1082],[6,9,11,1081,1082], [9,11,14,1080,1082],[9,11,14,1081,1082],[11,14,1080,1081,1082],[9,12,14,1080,1082], [9,12,14,1081,1082],[12,14,17,1080,1082],[12,14,17,1081,1082],[14,17,1080,1081,1082], [12,15,17,1080,1082],[12,15,17,1081,1082],[15,17,20,1080,1082],[15,17,20,1081,1082], [17,20,1080,1081,1082],[15,18,20,1080,1082],[15,18,20,1081,1082],[18,20,23,1080,1082], [18,20,23,1081,1082],[20,23,1080,1081,1082],[18,21,23,1080,1082],[18,21,23,1081,1082], [21,23,26,1080,1082],[21,23,26,1081,1082],[23,26,1080,1081,1082],[21,24,26,1080,1082], [21,24,26,1081,1082],[24,26,29,1080,1082],[24,26,29,1081,1082],[26,29,1080,1081,1082], [24,27,29,1080,1082],[24,27,29,1081,1082],[27,29,32,1080,1082],[27,29,32,1081,1082], [29,32,1080,1081,1082],[27,30,32,1080,1082],[27,30,32,1081,1082],[30,32,35,1080,1082], [30,32,35,1081,1082],[32,35,1080,1081,1082],[30,33,35,1080,1082],[30,33,35,1081,1082], [0,3,1080,1081,1083],[0,3,1080,1082,1083],[0,3,1081,1082,1083],[0,33,1080,1081,1083], [0,33,1080,1082,1083],[0,33,1081,1082,1083],[3,6,1080,1081,1083],[3,6,1080,1082,1083], [3,6,1081,1082,1083],[6,9,1080,1081,1083],[6,9,1080,1082,1083],[6,9,1081,1082,1083], [9,12,1080,1081,1083],[9,12,1080,1082,1083],[9,12,1081,1082,1083],[12,15,1080,1081,1083], [12,15,1080,1082,1083],[12,15,1081,1082,1083],[15,18,1080,1081,1083],[15,18,1080,1082,1083], [15,18,1081,1082,1083],[18,21,1080,1081,1083],[18,21,1080,1082,1083],[18,21,1081,1082,1083], [21,24,1080,1081,1083],[21,24,1080,1082,1083],[21,24,1081,1082,1083],[24,27,1080,1081,1083], [24,27,1080,1082,1083],[24,27,1081,1082,1083],[27,30,1080,1081,1083],[27,30,1080,1082,1083], [27,30,1081,1082,1083],[30,33,1080,1081,1083],[30,33,1080,1082,1083],[30,33,1081,1082,1083], [36,38,41,311,1084],[37,38,41,311,1084],[36,38,257,527,1084],[37,38,257,527,1084], [36,38,308,311,1084],[37,38,308,311,1084],[36,38,308,527,1084],[37,38,308,527,1084], [37,40,41,311,1084],[36,37,40,310,1084],[37,40,310,311,1084],[37,256,257,527,1084], [36,37,256,526,1084],[37,256,526,527,1084],[37,307,308,311,1084],[37,307,308,527,1084], [36,37,307,310,1084],[37,307,310,311,1084],[36,37,307,526,1084],[37,307,526,527,1084], [36,39,41,311,1084],[36,39,40,310,1084],[36,39,309,310,1084],[36,39,309,311,1084], [36,255,257,527,1084],[36,255,256,526,1084],[36,255,525,526,1084],[36,255,525,527,1084], [36,306,308,311,1084],[306,307,308,311,1084],[36,306,308,527,1084],[306,307,308,527,1084], [36,306,307,310,1084],[306,307,310,311,1084],[36,306,307,526,1084],[306,307,526,527,1084], [36,306,309,310,1084],[36,306,309,311,1084],[306,309,310,311,1084],[36,306,525,526,1084], [36,306,525,527,1084],[306,525,526,527,1084],[39,41,44,314,1084],[40,41,44,314,1084], [39,41,311,314,1084],[40,41,311,314,1084],[40,43,44,314,1084],[39,40,43,313,1084], [40,43,313,314,1084],[40,310,311,314,1084],[39,40,310,313,1084],[40,310,313,314,1084], [39,42,44,314,1084],[39,42,43,313,1084],[39,42,312,313,1084],[39,42,312,314,1084], [39,309,311,314,1084],[309,310,311,314,1084],[39,309,310,313,1084],[309,310,313,314,1084], [39,309,312,313,1084],[39,309,312,314,1084],[309,312,313,314,1084],[42,44,47,317,1084], [43,44,47,317,1084],[42,44,314,317,1084],[43,44,314,317,1084],[43,46,47,317,1084], [42,43,46,316,1084],[43,46,316,317,1084],[43,313,314,317,1084],[42,43,313,316,1084], [43,313,316,317,1084],[42,45,47,317,1084],[42,45,46,316,1084],[42,45,315,316,1084], [42,45,315,317,1084],[42,312,314,317,1084],[312,313,314,317,1084],[42,312,313,316,1084], [312,313,316,317,1084],[42,312,315,316,1084],[42,312,315,317,1084],[312,315,316,317,1084], [45,47,50,320,1084],[46,47,50,320,1084],[45,47,317,320,1084],[46,47,317,320,1084], [46,49,50,320,1084],[45,46,49,319,1084],[46,49,319,320,1084],[46,316,317,320,1084], [45,46,316,319,1084],[46,316,319,320,1084],[45,48,50,320,1084],[45,48,49,319,1084], [45,48,318,319,1084],[45,48,318,320,1084],[45,315,317,320,1084],[315,316,317,320,1084], [45,315,316,319,1084],[315,316,319,320,1084],[45,315,318,319,1084],[45,315,318,320,1084], [315,318,319,320,1084],[48,50,53,323,1084],[49,50,53,323,1084],[48,50,320,323,1084], [49,50,320,323,1084],[49,52,53,323,1084],[48,49,52,322,1084],[49,52,322,323,1084], [49,319,320,323,1084],[48,49,319,322,1084],[49,319,322,323,1084],[48,51,53,323,1084], [48,51,52,322,1084],[48,51,321,322,1084],[48,51,321,323,1084],[48,318,320,323,1084], [318,319,320,323,1084],[48,318,319,322,1084],[318,319,322,323,1084],[48,318,321,322,1084], [48,318,321,323,1084],[318,321,322,323,1084],[51,53,56,326,1084],[52,53,56,326,1084], [51,53,323,326,1084],[52,53,323,326,1084],[52,55,56,326,1084],[51,52,55,325,1084], [52,55,325,326,1084],[52,322,323,326,1084],[51,52,322,325,1084],[52,322,325,326,1084], [51,54,56,326,1084],[51,54,55,325,1084],[51,54,324,325,1084],[51,54,324,326,1084], [51,321,323,326,1084],[321,322,323,326,1084],[51,321,322,325,1084],[321,322,325,326,1084], [51,321,324,325,1084],[51,321,324,326,1084],[321,324,325,326,1084],[54,56,59,329,1084], [55,56,59,329,1084],[54,56,326,329,1084],[55,56,326,329,1084],[55,58,59,329,1084], [54,55,58,328,1084],[55,58,328,329,1084],[55,325,326,329,1084],[54,55,325,328,1084], [55,325,328,329,1084],[54,57,59,329,1084],[54,57,58,328,1084],[54,57,327,328,1084], [54,57,327,329,1084],[54,324,326,329,1084],[324,325,326,329,1084],[54,324,325,328,1084], [324,325,328,329,1084],[54,324,327,328,1084],[54,324,327,329,1084],[324,327,328,329,1084], [57,59,62,332,1084],[58,59,62,332,1084],[57,59,329,332,1084],[58,59,329,332,1084], [58,61,62,332,1084],[57,58,61,331,1084],[58,61,331,332,1084],[58,328,329,332,1084], [57,58,328,331,1084],[58,328,331,332,1084],[57,60,62,332,1084],[57,60,61,331,1084], [57,60,330,331,1084],[57,60,330,332,1084],[57,327,329,332,1084],[327,328,329,332,1084], [57,327,328,331,1084],[327,328,331,332,1084],[57,327,330,331,1084],[57,327,330,332,1084], [327,330,331,332,1084],[60,62,65,335,1084],[61,62,65,335,1084],[60,62,332,335,1084], [61,62,332,335,1084],[61,64,65,335,1084],[60,61,64,334,1084],[61,64,334,335,1084], [61,331,332,335,1084],[60,61,331,334,1084],[61,331,334,335,1084],[60,63,65,335,1084], [60,63,64,334,1084],[60,63,333,334,1084],[60,63,333,335,1084],[60,330,332,335,1084], [330,331,332,335,1084],[60,330,331,334,1084],[330,331,334,335,1084],[60,330,333,334,1084], [60,330,333,335,1084],[330,333,334,335,1084],[63,65,68,338,1084],[64,65,68,338,1084], [63,65,335,338,1084],[64,65,335,338,1084],[64,67,68,338,1084],[63,64,67,337,1084], [64,67,337,338,1084],[64,334,335,338,1084],[63,64,334,337,1084],[64,334,337,338,1084], [63,66,68,338,1084],[63,66,67,337,1084],[63,66,336,337,1084],[63,66,336,338,1084], [63,333,335,338,1084],[333,334,335,338,1084],[63,333,334,337,1084],[333,334,337,338,1084], [63,333,336,337,1084],[63,333,336,338,1084],[333,336,337,338,1084],[66,68,71,341,1084], [67,68,71,341,1084],[66,68,338,341,1084],[67,68,338,341,1084],[67,70,71,341,1084], [66,67,70,340,1084],[67,70,340,341,1084],[67,337,338,341,1084],[66,67,337,340,1084], [67,337,340,341,1084],[66,69,71,341,1084],[66,69,70,340,1084],[66,69,339,340,1084], [66,69,339,341,1084],[66,336,338,341,1084],[336,337,338,341,1084],[66,336,337,340,1084], [336,337,340,341,1084],[66,336,339,340,1084],[66,336,339,341,1084],[336,339,340,341,1084], [69,71,74,344,1084],[70,71,74,344,1084],[69,71,341,344,1084],[70,71,341,344,1084], [70,73,74,344,1084],[69,70,73,343,1084],[70,73,343,344,1084],[70,340,341,344,1084], [69,70,340,343,1084],[70,340,343,344,1084],[69,72,74,344,1084],[69,72,73,343,1084], [69,72,342,343,1084],[69,72,342,344,1084],[69,339,341,344,1084],[339,340,341,344,1084], [69,339,340,343,1084],[339,340,343,344,1084],[69,339,342,343,1084],[69,339,342,344,1084], [339,342,343,344,1084],[72,74,77,347,1084],[73,74,77,347,1084],[72,74,344,347,1084], [73,74,344,347,1084],[73,76,77,347,1084],[72,73,76,346,1084],[73,76,346,347,1084], [73,343,344,347,1084],[72,73,343,346,1084],[73,343,346,347,1084],[72,75,77,347,1084], [72,75,76,346,1084],[72,75,345,346,1084],[72,75,345,347,1084],[72,342,344,347,1084], [342,343,344,347,1084],[72,342,343,346,1084],[342,343,346,347,1084],[72,342,345,346,1084], [72,342,345,347,1084],[342,345,346,347,1084],[75,77,80,350,1084],[76,77,80,350,1084], [75,77,347,350,1084],[76,77,347,350,1084],[76,79,80,350,1084],[75,76,79,349,1084], [76,79,349,350,1084],[76,346,347,350,1084],[75,76,346,349,1084],[76,346,349,350,1084], [75,78,80,350,1084],[75,78,79,349,1084],[75,78,348,349,1084],[75,78,348,350,1084], [75,345,347,350,1084],[345,346,347,350,1084],[75,345,346,349,1084],[345,346,349,350,1084], [75,345,348,349,1084],[75,345,348,350,1084],[345,348,349,350,1084],[78,80,83,353,1084], [79,80,83,353,1084],[78,80,350,353,1084],[79,80,350,353,1084],[79,82,83,353,1084], [78,79,82,352,1084],[79,82,352,353,1084],[79,349,350,353,1084],[78,79,349,352,1084], [79,349,352,353,1084],[78,81,83,353,1084],[78,81,82,352,1084],[78,81,351,352,1084], [78,81,351,353,1084],[78,348,350,353,1084],[348,349,350,353,1084],[78,348,349,352,1084], [348,349,352,353,1084],[78,348,351,352,1084],[78,348,351,353,1084],[348,351,352,353,1084], [81,83,86,356,1084],[82,83,86,356,1084],[81,83,353,356,1084],[82,83,353,356,1084], [82,85,86,356,1084],[81,82,85,355,1084],[82,85,355,356,1084],[82,352,353,356,1084], [81,82,352,355,1084],[82,352,355,356,1084],[81,84,86,356,1084],[81,84,85,355,1084], [81,84,354,355,1084],[81,84,354,356,1084],[81,351,353,356,1084],[351,352,353,356,1084], [81,351,352,355,1084],[351,352,355,356,1084],[81,351,354,355,1084],[81,351,354,356,1084], [351,354,355,356,1084],[84,86,89,359,1084],[85,86,89,359,1084],[84,86,356,359,1084], 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[178,181,182,452,1084],[177,178,181,451,1084],[178,181,451,452,1084],[178,448,449,452,1084], [177,178,448,451,1084],[178,448,451,452,1084],[177,180,182,452,1084],[177,180,181,451,1084], [177,180,450,451,1084],[177,180,450,452,1084],[177,447,449,452,1084],[447,448,449,452,1084], [177,447,448,451,1084],[447,448,451,452,1084],[177,447,450,451,1084],[177,447,450,452,1084], [447,450,451,452,1084],[180,182,185,455,1084],[181,182,185,455,1084],[180,182,452,455,1084], [181,182,452,455,1084],[181,184,185,455,1084],[180,181,184,454,1084],[181,184,454,455,1084], [181,451,452,455,1084],[180,181,451,454,1084],[181,451,454,455,1084],[180,183,185,455,1084], [180,183,184,454,1084],[180,183,453,454,1084],[180,183,453,455,1084],[180,450,452,455,1084], [450,451,452,455,1084],[180,450,451,454,1084],[450,451,454,455,1084],[180,450,453,454,1084], [180,450,453,455,1084],[450,453,454,455,1084],[183,185,188,458,1084],[184,185,188,458,1084], 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[189,191,194,464,1084],[190,191,194,464,1084],[189,191,461,464,1084],[190,191,461,464,1084], [190,193,194,464,1084],[189,190,193,463,1084],[190,193,463,464,1084],[190,460,461,464,1084], [189,190,460,463,1084],[190,460,463,464,1084],[189,192,194,464,1084],[189,192,193,463,1084], [189,192,462,463,1084],[189,192,462,464,1084],[189,459,461,464,1084],[459,460,461,464,1084], [189,459,460,463,1084],[459,460,463,464,1084],[189,459,462,463,1084],[189,459,462,464,1084], [459,462,463,464,1084],[192,194,197,467,1084],[193,194,197,467,1084],[192,194,464,467,1084], [193,194,464,467,1084],[193,196,197,467,1084],[192,193,196,466,1084],[193,196,466,467,1084], [193,463,464,467,1084],[192,193,463,466,1084],[193,463,466,467,1084],[192,195,197,467,1084], [192,195,196,466,1084],[192,195,465,466,1084],[192,195,465,467,1084],[192,462,464,467,1084], [462,463,464,467,1084],[192,462,463,466,1084],[462,463,466,467,1084],[192,462,465,466,1084], [192,462,465,467,1084],[462,465,466,467,1084],[195,197,200,470,1084],[196,197,200,470,1084], [195,197,467,470,1084],[196,197,467,470,1084],[196,199,200,470,1084],[195,196,199,469,1084], [196,199,469,470,1084],[196,466,467,470,1084],[195,196,466,469,1084],[196,466,469,470,1084], [195,198,200,470,1084],[195,198,199,469,1084],[195,198,468,469,1084],[195,198,468,470,1084], [195,465,467,470,1084],[465,466,467,470,1084],[195,465,466,469,1084],[465,466,469,470,1084], [195,465,468,469,1084],[195,465,468,470,1084],[465,468,469,470,1084],[198,200,203,473,1084], [199,200,203,473,1084],[198,200,470,473,1084],[199,200,470,473,1084],[199,202,203,473,1084], [198,199,202,472,1084],[199,202,472,473,1084],[199,469,470,473,1084],[198,199,469,472,1084], [199,469,472,473,1084],[198,201,203,473,1084],[198,201,202,472,1084],[198,201,471,472,1084], [198,201,471,473,1084],[198,468,470,473,1084],[468,469,470,473,1084],[198,468,469,472,1084], [468,469,472,473,1084],[198,468,471,472,1084],[198,468,471,473,1084],[468,471,472,473,1084], [201,203,206,476,1084],[202,203,206,476,1084],[201,203,473,476,1084],[202,203,473,476,1084], [202,205,206,476,1084],[201,202,205,475,1084],[202,205,475,476,1084],[202,472,473,476,1084], [201,202,472,475,1084],[202,472,475,476,1084],[201,204,206,476,1084],[201,204,205,475,1084], [201,204,474,475,1084],[201,204,474,476,1084],[201,471,473,476,1084],[471,472,473,476,1084], [201,471,472,475,1084],[471,472,475,476,1084],[201,471,474,475,1084],[201,471,474,476,1084], [471,474,475,476,1084],[204,206,209,479,1084],[205,206,209,479,1084],[204,206,476,479,1084], [205,206,476,479,1084],[205,208,209,479,1084],[204,205,208,478,1084],[205,208,478,479,1084], [205,475,476,479,1084],[204,205,475,478,1084],[205,475,478,479,1084],[204,207,209,479,1084], [204,207,208,478,1084],[204,207,477,478,1084],[204,207,477,479,1084],[204,474,476,479,1084], [474,475,476,479,1084],[204,474,475,478,1084],[474,475,478,479,1084],[204,474,477,478,1084], [204,474,477,479,1084],[474,477,478,479,1084],[207,209,212,482,1084],[208,209,212,482,1084], [207,209,479,482,1084],[208,209,479,482,1084],[208,211,212,482,1084],[207,208,211,481,1084], [208,211,481,482,1084],[208,478,479,482,1084],[207,208,478,481,1084],[208,478,481,482,1084], [207,210,212,482,1084],[207,210,211,481,1084],[207,210,480,481,1084],[207,210,480,482,1084], [207,477,479,482,1084],[477,478,479,482,1084],[207,477,478,481,1084],[477,478,481,482,1084], [207,477,480,481,1084],[207,477,480,482,1084],[477,480,481,482,1084],[210,212,215,485,1084], [211,212,215,485,1084],[210,212,482,485,1084],[211,212,482,485,1084],[211,214,215,485,1084], [210,211,214,484,1084],[211,214,484,485,1084],[211,481,482,485,1084],[210,211,481,484,1084], [211,481,484,485,1084],[210,213,215,485,1084],[210,213,214,484,1084],[210,213,483,484,1084], [210,213,483,485,1084],[210,480,482,485,1084],[480,481,482,485,1084],[210,480,481,484,1084], [480,481,484,485,1084],[210,480,483,484,1084],[210,480,483,485,1084],[480,483,484,485,1084], [213,215,218,488,1084],[214,215,218,488,1084],[213,215,485,488,1084],[214,215,485,488,1084], [214,217,218,488,1084],[213,214,217,487,1084],[214,217,487,488,1084],[214,484,485,488,1084], [213,214,484,487,1084],[214,484,487,488,1084],[213,216,218,488,1084],[213,216,217,487,1084], [213,216,486,487,1084],[213,216,486,488,1084],[213,483,485,488,1084],[483,484,485,488,1084], [213,483,484,487,1084],[483,484,487,488,1084],[213,483,486,487,1084],[213,483,486,488,1084], [483,486,487,488,1084],[216,218,221,491,1084],[217,218,221,491,1084],[216,218,488,491,1084], [217,218,488,491,1084],[217,220,221,491,1084],[216,217,220,490,1084],[217,220,490,491,1084], [217,487,488,491,1084],[216,217,487,490,1084],[217,487,490,491,1084],[216,219,221,491,1084], [216,219,220,490,1084],[216,219,489,490,1084],[216,219,489,491,1084],[216,486,488,491,1084], [486,487,488,491,1084],[216,486,487,490,1084],[486,487,490,491,1084],[216,486,489,490,1084], [216,486,489,491,1084],[486,489,490,491,1084],[219,221,224,494,1084],[220,221,224,494,1084], [219,221,491,494,1084],[220,221,491,494,1084],[220,223,224,494,1084],[219,220,223,493,1084], [220,223,493,494,1084],[220,490,491,494,1084],[219,220,490,493,1084],[220,490,493,494,1084], [219,222,224,494,1084],[219,222,223,493,1084],[219,222,492,493,1084],[219,222,492,494,1084], [219,489,491,494,1084],[489,490,491,494,1084],[219,489,490,493,1084],[489,490,493,494,1084], [219,489,492,493,1084],[219,489,492,494,1084],[489,492,493,494,1084],[222,224,227,497,1084], [223,224,227,497,1084],[222,224,494,497,1084],[223,224,494,497,1084],[223,226,227,497,1084], [222,223,226,496,1084],[223,226,496,497,1084],[223,493,494,497,1084],[222,223,493,496,1084], [223,493,496,497,1084],[222,225,227,497,1084],[222,225,226,496,1084],[222,225,495,496,1084], [222,225,495,497,1084],[222,492,494,497,1084],[492,493,494,497,1084],[222,492,493,496,1084], [492,493,496,497,1084],[222,492,495,496,1084],[222,492,495,497,1084],[492,495,496,497,1084], [225,227,230,500,1084],[226,227,230,500,1084],[225,227,497,500,1084],[226,227,497,500,1084], [226,229,230,500,1084],[225,226,229,499,1084],[226,229,499,500,1084],[226,496,497,500,1084], [225,226,496,499,1084],[226,496,499,500,1084],[225,228,230,500,1084],[225,228,229,499,1084], [225,228,498,499,1084],[225,228,498,500,1084],[225,495,497,500,1084],[495,496,497,500,1084], [225,495,496,499,1084],[495,496,499,500,1084],[225,495,498,499,1084],[225,495,498,500,1084], [495,498,499,500,1084],[228,230,233,503,1084],[229,230,233,503,1084],[228,230,500,503,1084], [229,230,500,503,1084],[229,232,233,503,1084],[228,229,232,502,1084],[229,232,502,503,1084], [229,499,500,503,1084],[228,229,499,502,1084],[229,499,502,503,1084],[228,231,233,503,1084], [228,231,232,502,1084],[228,231,501,502,1084],[228,231,501,503,1084],[228,498,500,503,1084], [498,499,500,503,1084],[228,498,499,502,1084],[498,499,502,503,1084],[228,498,501,502,1084], [228,498,501,503,1084],[498,501,502,503,1084],[231,233,236,506,1084],[232,233,236,506,1084], [231,233,503,506,1084],[232,233,503,506,1084],[232,235,236,506,1084],[231,232,235,505,1084], [232,235,505,506,1084],[232,502,503,506,1084],[231,232,502,505,1084],[232,502,505,506,1084], [231,234,236,506,1084],[231,234,235,505,1084],[231,234,504,505,1084],[231,234,504,506,1084], [231,501,503,506,1084],[501,502,503,506,1084],[231,501,502,505,1084],[501,502,505,506,1084], [231,501,504,505,1084],[231,501,504,506,1084],[501,504,505,506,1084],[234,236,239,509,1084], [235,236,239,509,1084],[234,236,506,509,1084],[235,236,506,509,1084],[235,238,239,509,1084], [234,235,238,508,1084],[235,238,508,509,1084],[235,505,506,509,1084],[234,235,505,508,1084], [235,505,508,509,1084],[234,237,239,509,1084],[234,237,238,508,1084],[234,237,507,508,1084], [234,237,507,509,1084],[234,504,506,509,1084],[504,505,506,509,1084],[234,504,505,508,1084], [504,505,508,509,1084],[234,504,507,508,1084],[234,504,507,509,1084],[504,507,508,509,1084], [237,239,242,512,1084],[238,239,242,512,1084],[237,239,509,512,1084],[238,239,509,512,1084], [238,241,242,512,1084],[237,238,241,511,1084],[238,241,511,512,1084],[238,508,509,512,1084], [237,238,508,511,1084],[238,508,511,512,1084],[237,240,242,512,1084],[237,240,241,511,1084], [237,240,510,511,1084],[237,240,510,512,1084],[237,507,509,512,1084],[507,508,509,512,1084], [237,507,508,511,1084],[507,508,511,512,1084],[237,507,510,511,1084],[237,507,510,512,1084], [507,510,511,512,1084],[240,242,245,515,1084],[241,242,245,515,1084],[240,242,512,515,1084], [241,242,512,515,1084],[241,244,245,515,1084],[240,241,244,514,1084],[241,244,514,515,1084], [241,511,512,515,1084],[240,241,511,514,1084],[241,511,514,515,1084],[240,243,245,515,1084], [240,243,244,514,1084],[240,243,513,514,1084],[240,243,513,515,1084],[240,510,512,515,1084], [510,511,512,515,1084],[240,510,511,514,1084],[510,511,514,515,1084],[240,510,513,514,1084], [240,510,513,515,1084],[510,513,514,515,1084],[243,245,248,518,1084],[244,245,248,518,1084], [243,245,515,518,1084],[244,245,515,518,1084],[244,247,248,518,1084],[243,244,247,517,1084], [244,247,517,518,1084],[244,514,515,518,1084],[243,244,514,517,1084],[244,514,517,518,1084], [243,246,248,518,1084],[243,246,247,517,1084],[243,246,516,517,1084],[243,246,516,518,1084], [243,513,515,518,1084],[513,514,515,518,1084],[243,513,514,517,1084],[513,514,517,518,1084], [243,513,516,517,1084],[243,513,516,518,1084],[513,516,517,518,1084],[246,248,251,521,1084], [247,248,251,521,1084],[246,248,518,521,1084],[247,248,518,521,1084],[247,250,251,521,1084], [246,247,250,520,1084],[247,250,520,521,1084],[247,517,518,521,1084],[246,247,517,520,1084], [247,517,520,521,1084],[246,249,251,521,1084],[246,249,250,520,1084],[246,249,519,520,1084], [246,249,519,521,1084],[246,516,518,521,1084],[516,517,518,521,1084],[246,516,517,520,1084], [516,517,520,521,1084],[246,516,519,520,1084],[246,516,519,521,1084],[516,519,520,521,1084], [249,251,254,524,1084],[250,251,254,524,1084],[249,251,521,524,1084],[250,251,521,524,1084], [250,253,254,524,1084],[249,250,253,523,1084],[250,253,523,524,1084],[250,520,521,524,1084], [249,250,520,523,1084],[250,520,523,524,1084],[249,252,254,524,1084],[249,252,253,523,1084], [249,252,522,523,1084],[249,252,522,524,1084],[249,519,521,524,1084],[519,520,521,524,1084], [249,519,520,523,1084],[519,520,523,524,1084],[249,519,522,523,1084],[249,519,522,524,1084], [519,522,523,524,1084],[252,254,257,527,1084],[253,254,257,527,1084],[252,254,524,527,1084], [253,254,524,527,1084],[253,256,257,527,1084],[252,253,256,526,1084],[253,256,526,527,1084], [253,523,524,527,1084],[252,253,523,526,1084],[253,523,526,527,1084],[252,255,257,527,1084], [252,255,256,526,1084],[252,255,525,526,1084],[252,255,525,527,1084],[252,522,524,527,1084], [522,523,524,527,1084],[252,522,523,526,1084],[522,523,526,527,1084],[252,522,525,526,1084], [252,522,525,527,1084],[522,525,526,527,1084],[36,37,38,41,1085],[37,38,41,1084,1085], [36,37,38,257,1085],[37,38,257,1084,1085],[36,37,40,41,1085],[36,37,40,1084,1085], [37,40,41,1084,1085],[36,37,256,257,1085],[36,37,256,1084,1085],[37,256,257,1084,1085], [36,39,40,41,1085],[36,39,40,1084,1085],[36,255,256,257,1085],[36,255,256,1084,1085], [39,40,41,44,1085],[40,41,44,1084,1085],[39,40,43,44,1085],[39,40,43,1084,1085], [40,43,44,1084,1085],[39,42,43,44,1085],[39,42,43,1084,1085],[42,43,44,47,1085], [43,44,47,1084,1085],[42,43,46,47,1085],[42,43,46,1084,1085],[43,46,47,1084,1085], [42,45,46,47,1085],[42,45,46,1084,1085],[45,46,47,50,1085],[46,47,50,1084,1085], [45,46,49,50,1085],[45,46,49,1084,1085],[46,49,50,1084,1085],[45,48,49,50,1085], [45,48,49,1084,1085],[48,49,50,53,1085],[49,50,53,1084,1085],[48,49,52,53,1085], [48,49,52,1084,1085],[49,52,53,1084,1085],[48,51,52,53,1085],[48,51,52,1084,1085], [51,52,53,56,1085],[52,53,56,1084,1085],[51,52,55,56,1085],[51,52,55,1084,1085], [52,55,56,1084,1085],[51,54,55,56,1085],[51,54,55,1084,1085],[54,55,56,59,1085], [55,56,59,1084,1085],[54,55,58,59,1085],[54,55,58,1084,1085],[55,58,59,1084,1085], [54,57,58,59,1085],[54,57,58,1084,1085],[57,58,59,62,1085],[58,59,62,1084,1085], [57,58,61,62,1085],[57,58,61,1084,1085],[58,61,62,1084,1085],[57,60,61,62,1085], [57,60,61,1084,1085],[60,61,62,65,1085],[61,62,65,1084,1085],[60,61,64,65,1085], [60,61,64,1084,1085],[61,64,65,1084,1085],[60,63,64,65,1085],[60,63,64,1084,1085], 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