#s idigest "33e7128ccf6da686bc2cbfa2f2e9a1b2"
#p 16 110
#s name "p26-exact-pub116"
((((((9,8),7),(((5,2),(1,3)),4)),(10,6)),(((((73,(((76,77),78),80)),(72,(75,74))),((94,110),(((101,102),105),79))),((((93,(109,91)),(108,106)),(103,(107,104))),(95,92))),(71,(100,(98,((99,97),96)))))),((((52,((53,((81,83),(51,54))),(82,((85,55),84)))),90),(89,(88,(86,87)))),((39,37),(((((((17,24),((63,61),64)),65),(((23,62),(25,16)),((21,22),(18,20)))),19),(((50,47),(((56,(58,57)),59),(60,(67,68)))),((66,((69,70),(48,46))),((33,35),((11,13),14))))),((38,(40,36)),(((((26,32),49),((((29,28),30),27),(31,34))),((41,((42,44),45)),43)),(15,12)))))));
(((50,((38,36),37)),(((16,19),(18,20)),((25,22),((23,21),24)))),((((((((((32,31),35),33),29),(14,(13,15))),((12,(((48,47),56),((49,46),57))),(40,39))),(((59,(60,58)),11),(((((27,30),26),28),34),((68,69),((70,67),66))))),((((44,41),43),42),17)),(((61,(63,65)),(64,62)),45)),(((((89,86),87),(90,88)),((52,(85,55)),(((((84,51),(83,82)),53),54),81))),(((((4,5),2),(((1,3),9),(10,((7,8),6)))),((((74,75),(((79,78),76),72)),((71,80),(77,73))),(((98,100),96),(99,97)))),(((95,(93,92)),((((91,94),(109,106)),(102,(105,(108,(107,110))))),(103,101))),104)))));
(((((6,(10,7)),(99,100)),((((53,51),81),(((((82,84),52),(55,54)),85),83)),((88,(86,89)),(90,87)))),(((4,((2,3),(5,1))),(9,8)),((((((76,((73,71),(79,78))),(77,((72,75),(80,74)))),((107,(95,93)),(94,(109,106)))),(104,((91,92),108))),((97,98),96)),(110,(101,((103,102),105)))))),((((((50,((46,48),49)),59),(60,58)),((30,34),(26,31))),((((21,23),(19,(16,18))),(((62,((65,64),(61,63))),((24,25),22)),(20,17))),((42,44),((41,43),45)))),(((((14,15),13),((((27,(29,28)),32),33),35)),(((((56,57),47),69),66),(67,(70,68)))),((12,11),((40,36),(38,(39,37)))))));
(((((85,52),(((81,82),(53,54)),((84,83),(51,55)))),(((88,89),90),(86,87))),(((10,6),(5,(1,(4,2)))),(((3,((7,8),9)),(((93,91),106),(104,((((95,94),(110,107)),(108,92)),(((103,101),105),102))))),((((100,99),96),(98,97)),(((74,((((72,(75,71)),73),79),(76,(80,78)))),77),109))))),(((((((13,14),39),((((50,49),60),(59,56)),58)),((40,((38,36),37)),((29,27),((31,33),((26,28),32))))),(((46,47),((57,48),67)),(68,(70,(66,69))))),((30,35),34)),(((43,41),(44,(42,45))),((((17,(18,20)),((21,24),23)),(((64,65),(63,61)),(25,22))),(((16,19),62),((11,15),12))))));
((((((((53,83),84),((54,52),81)),(51,55)),(82,85)),((3,((5,2),1)),(4,(((6,(10,7)),8),9)))),((((86,89),90),(87,88)),((103,(93,92)),((((108,((104,(94,((110,109),(106,107)))),105)),(((98,(100,99)),96),97)),(((77,72),(91,95)),(101,102))),((75,73),(78,((74,71),(79,(80,76))))))))),(((((((35,27),33),((36,37),(39,(38,40)))),(((48,((50,56),46)),(60,(58,(59,57)))),((47,49),(70,(67,68))))),((26,28),((12,14),13))),((66,69),((11,15),(((32,34),(30,29)),31)))),(((43,(44,42)),(41,45)),(((19,(20,17)),((65,(21,18)),(62,(25,(23,22))))),(24,((61,(63,64)),16))))));
(((((102,109),104),((72,(77,80)),((91,(110,(106,108))),(103,(101,105))))),(((97,(((100,98),96),99)),(((76,79),78),(((94,95),(107,92)),93))),(((73,75),74),71))),(((((40,37),(((31,32),(33,34)),(29,((26,30),28)))),((39,38),36)),((((((((57,58),49),68),((59,56),60)),(47,50)),(14,((13,(15,12)),11))),((27,35),((70,67),((48,46),(66,69))))),(16,((20,(((63,62),61),(((25,(23,22)),17),(((64,65),(18,19)),(24,21))))),((((41,45),43),44),42))))),(((7,(5,((1,(2,4)),3))),(6,((10,9),8))),((88,((85,82),(83,81))),(((86,90),(87,89)),(((53,55),(84,51)),(52,54)))))));
(((((98,(77,(((105,103),((((104,102),101),(93,92)),(95,108))),((109,107),(106,110))))),(((72,(74,73)),97),((94,(((80,78),((79,76),71)),(91,75))),((100,96),99)))),(((((55,82),((53,(83,84)),(54,51))),((52,85),81)),((89,86),(87,90))),88)),((6,8),(2,(((10,9),7),(((4,1),3),5))))),(((((((47,60),((59,58),56)),69),(((70,66),(67,68)),(((28,(((34,32),26),33)),35),29))),(11,12)),(((31,(30,27)),((45,(42,43)),(41,44))),(((23,(((18,((19,17),20)),16),(64,62))),(21,(25,(63,(61,65))))),(24,22)))),(((14,(13,15)),(((36,40),37),(38,39))),((57,50),((48,49),46)))));
((((7,(10,((6,9),8))),(3,(4,(2,(5,1))))),(((88,(90,((87,89),86))),(((52,53),(((54,(84,85)),81),51)),((83,55),82))),(((((99,92),(77,(73,74))),(((97,96),98),100)),((((78,72),79),((75,71),76)),((((108,107),93),(110,(95,91))),(109,106)))),(((105,(102,103)),(94,104)),(101,80))))),((((68,47),(15,12)),(35,(((29,27),((32,31),33)),(34,(28,26))))),((((((59,58),56),(49,(57,60))),((39,(36,40)),(38,37))),(42,41)),((((((61,65),(18,17)),(((21,(25,24)),(23,22)),(16,19))),(20,((64,62),63))),(44,(43,45))),((((48,(46,50)),((70,67),(69,66))),(13,(11,14))),30)))));
((((((39,(40,(37,36))),((15,(14,11)),(((((47,(48,49)),50),59),66),((((58,60),67),(56,57)),((68,69),(46,70)))))),((41,(43,45)),((((62,(25,((21,22),23))),(61,(24,(20,(17,18))))),((63,(19,(65,64))),16)),(42,44)))),((((29,30),35),(31,33)),((32,34),((26,(28,27)),38)))),(12,13)),(((((4,((1,3),2)),(10,(6,(7,8)))),(9,5)),((55,(85,82)),(90,(89,(86,(88,87)))))),(((52,(51,53)),(((83,84),81),54)),((((((78,(75,(74,71))),72),(79,80)),102),(((96,(100,97)),99),((((108,109),((106,(93,(95,(92,94)))),91)),107),((103,105),110)))),(98,((76,77),(73,(104,101))))))));
(((((20,(((64,61),(23,62)),((63,65),((22,24),21)))),(25,((19,18),(17,16)))),((46,(((50,(48,47)),56),((60,(58,57)),49))),13)),(((70,(((40,((36,(37,38)),39)),((15,11),14)),((28,((30,26),(35,33))),((34,31),32)))),((27,29),((59,((69,67),(66,68))),12))),((43,44),((42,41),45)))),(((((88,90),(81,((89,87),86))),((82,(84,53)),(((83,(52,51)),(55,85)),54))),(((((((104,101),((92,91),105)),(94,(110,(109,95)))),((100,97),(((102,103),(107,108)),((78,80),(79,(76,(75,74))))))),((98,(99,96)),(106,93))),(71,(77,(72,73)))),(((9,7),(2,1)),(10,(6,8))))),((3,4),5)));
((((((41,44),42),(43,45)),(25,((((22,23),24),(18,(17,19))),(((64,61),(62,63)),21)))),(65,(16,20))),((((((90,87),((89,88),86)),(((55,52),((82,84),81)),(((83,53),51),(54,85)))),(3,(((10,7),8),9))),(((2,((1,5),4)),6),((((92,(94,(93,91))),((109,((95,((104,101),102)),108)),((103,107),((110,106),105)))),((73,(71,75)),(((79,77),72),((78,(76,80)),74)))),(99,((98,(96,100)),97))))),(((37,(40,38)),(39,36)),((11,((((((((50,49),46),47),48),((59,57),(56,58))),((((70,66),69),67),68)),60),(13,((12,14),15)))),(((34,(32,35)),(((26,27),(30,29)),28)),(31,33))))));
((((41,(43,42)),(44,45)),((((((39,40),36),(11,(38,37))),((((24,(25,21)),20),((65,(23,22)),(((17,18),19),(16,(64,(62,63)))))),61)),(((26,30),29),(((13,14),(12,15)),(((50,47),68),((46,((((70,69),67),66),(60,((58,59),(56,57))))),(49,48)))))),((32,28),(31,(((34,33),35),27))))),(((8,(((9,10),(6,7)),((2,(3,4)),(1,5)))),((100,((75,(((77,(78,80)),((79,76),(71,(74,73)))),((103,102),105))),((96,99),(98,97)))),(72,((93,101),((104,(94,(91,(107,108)))),(92,(((109,106),95),110))))))),(((55,85),((86,88),(89,(87,90)))),((52,81),(54,(51,(((83,82),53),84)))))));
((((65,(((18,16),((22,(25,23)),((63,(64,61)),62))),((17,(20,19)),(24,21)))),45),(((((58,((50,46),47)),(57,((68,67),70))),(((56,59),(69,66)),(48,(60,49)))),(((33,(34,32)),30),(((37,(((39,40),38),36)),(((15,13),(12,14)),(35,(26,((29,28),(31,27)))))),11))),(((42,43),41),44))),(((((88,(89,86)),87),((83,81),(52,(84,(51,55))))),((53,(85,(54,82))),90)),((((93,(108,106)),(96,97)),(((73,75),(80,76)),74)),(((((110,((92,(95,94)),(107,109))),(((101,104),(102,103)),91)),105),((98,(100,99)),((78,77),((71,72),79)))),((((9,7),6),((8,10),(5,2))),((1,3),4))))));
((((((98,100),((96,(97,99)),((106,109),108))),(76,(((101,(103,102)),95),(((91,93),92),(110,107))))),(((73,75),(((79,80),78),77)),((94,(105,104)),(72,(74,71))))),((((88,87),(86,90)),(81,(((83,54),53),(84,(55,51))))),(((82,52),85),89))),(((((23,17),((19,18),(16,20))),((42,41),45)),(((14,((36,37),(38,(39,40)))),((44,43),(((24,25),(65,(62,(64,(63,61))))),(22,21)))),(((29,((57,59),68)),(11,((12,13),15))),(((35,((31,34),32)),((27,33),(30,(28,26)))),((56,(48,50)),(58,(47,(((46,49),60),((67,(70,66)),69))))))))),((2,((3,(1,4)),5)),(10,(7,(8,(9,6)))))));
((((83,((((55,52),81),84),((82,85),(54,53)))),((90,(87,88)),(89,86))),(51,((((2,1),(4,5)),10),((7,6),((8,9),3))))),((((16,(62,63)),(68,(70,66))),(((43,(41,((45,42),44))),((21,((18,(17,(23,65))),((22,25),61))),(24,(64,(19,20))))),((35,(33,32)),(((36,40),(37,38)),(((39,((13,12),(14,15))),11),((59,((((69,67),((48,47),49)),(((57,(60,56)),46),50)),58)),(31,(((28,34),30),((29,26),27))))))))),((((99,(100,96)),97),98),(((((76,80),73),(78,72)),77),((((75,71),((79,74),(((110,(93,106)),(95,94)),((91,109),92)))),((102,(105,104)),101)),(103,(108,107)))))));
((((((63,(65,22)),17),(21,(19,((23,24),((16,20),18))))),(((((38,40),((39,36),37)),(60,(((49,58),(68,(66,67))),((48,50),47)))),((((12,15),14),(11,13)),((((34,(35,33)),32),29),(31,(((28,30),26),27))))),((44,(43,((45,41),42))),(64,(25,(62,61)))))),((70,(((56,59),57),46)),69)),((((((73,75),(78,74)),(76,(77,80))),(((((98,100),99),(108,106)),(((107,110),((104,105),101)),((71,79),72))),((((((95,(94,92)),(93,91)),103),109),102),(97,96)))),(((84,85),82),((54,((51,52),53)),((81,83),55)))),((1,(((5,(4,3)),((8,6),(10,(9,7)))),2)),(((90,(88,89)),87),86))));
#x treedecomp [1837,[[1310,1311,1365],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,122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