0:{}:{} 1:{2}:{(3,1),(5,1),(6,1)} 2:{1,3,4}:{(4,1),(26,1),(27,1),(28,1)} 3:{4}:{(0,1),(1,1)} 4:{2}:{(0,1),(2,1)} 5:{3}:{(0,1),(1,1)} 6:{1}:{(0,1),(1,1)} 7:{3,4}:{(3,1),(5,1),(22,1)} 8:{3,4}:{(3,1),(5,1),(23,1)} 9:{1,4}:{(3,1),(6,1),(20,1)} 10:{1,4}:{(3,1),(6,1),(21,1)} 11:{1,3}:{(5,1),(6,1),(24,1)} 12:{1,3}:{(5,1),(6,1),(25,1)} 13:{2,4}:{(3,1),(4,1),(20,1),(21,1),(22,1),(23,1),(26,1),(27,1),(64,1)} 14:{2,3}:{(4,1),(5,1),(22,1),(23,1),(24,1),(25,1),(26,1),(28,1),(64,1)} 15:{1,2}:{(4,1),(6,1),(20,1),(21,1),(24,1),(25,1),(27,1),(28,1),(64,1)} 16:{1,3,4}:{(7,1),(9,1),(11,1),(29,1),(33,1),(35,1),(41,1),(65,1),(69,1),(73,1)} 17:{1,3,4}:{(8,1),(10,1),(11,1),(30,1),(33,1),(36,1),(42,1),(66,1),(70,1),(76,1)} 18:{1,3,4}:{(8,1),(9,1),(12,1),(31,1),(34,1),(35,1),(42,1),(67,1),(72,1),(74,1)} 19:{1,3,4}:{(7,1),(10,1),(12,1),(32,1),(34,1),(36,1),(41,1),(68,1),(71,1),(75,1)} 20:{2}:{(9,1),(35,1)} 21:{2}:{(10,1),(36,1)} 22:{2}:{(7,1),(41,1)} 23:{2}:{(8,1),(42,1)} 24:{2}:{(11,1),(33,1)} 25:{2}:{(12,1),(34,1)} 26:{3,4}:{(13,1),(14,1),(33,1),(34,1),(35,1),(36,1)} 27:{1,4}:{(13,1),(15,1),(33,1),(34,1),(41,1),(42,1)} 28:{1,3}:{(14,1),(15,1),(35,1),(36,1),(41,1),(42,1)} 29:{2}:{(16,1)} 30:{2}:{(17,1)} 31:{2}:{(18,1)} 32:{2}:{(19,1)} 33:{4}:{(24,1)} 34:{4}:{(25,1)} 35:{3}:{(20,1)} 36:{3}:{(21,1)} 37:{2,3,4}:{(22,1),(26,1),(46,1),(49,1),(50,1),(53,1),(62,1),(64,1)} 38:{2,3,4}:{(23,1),(26,1),(47,1),(48,1),(51,1),(52,1),(63,1),(64,1)} 39:{1,2,4}:{(20,1),(27,1),(46,1),(48,1),(54,1),(56,1),(60,1),(64,1)} 40:{1,2,4}:{(21,1),(27,1),(47,1),(49,1),(55,1),(57,1),(61,1),(64,1)} 41:{1}:{(22,1)} 42:{1}:{(23,1)} 43:{1,2,3}:{(24,1),(28,1),(50,1),(52,1),(54,1),(55,1),(58,1),(64,1)} 44:{1,2,3}:{(25,1),(28,1),(51,1),(53,1),(56,1),(57,1),(59,1),(64,1)} 45:{1,3,4}:{(26,1),(27,1),(28,1),(64,1)} 46:{2,4}:{(29,1),(33,1),(65,1),(69,1),(101,1)} 47:{2,4}:{(30,1),(33,1),(66,1),(70,1),(107,1)} 48:{2,4}:{(31,1),(34,1),(67,1),(72,1),(109,1)} 49:{2,4}:{(32,1),(34,1),(68,1),(71,1),(110,1)} 50:{2,3}:{(29,1),(35,1),(65,1),(73,1),(101,1)} 51:{2,3}:{(31,1),(35,1),(67,1),(74,1),(109,1)} 52:{2,3}:{(30,1),(36,1),(66,1),(76,1),(107,1)} 53:{2,3}:{(32,1),(36,1),(68,1),(75,1),(110,1)} 54:{1,2}:{(29,1),(41,1),(69,1),(73,1),(101,1)} 55:{1,2}:{(30,1),(42,1),(70,1),(76,1),(107,1)} 56:{1,2}:{(31,1),(42,1),(72,1),(74,1),(109,1)} 57:{1,2}:{(32,1),(41,1),(71,1),(75,1),(110,1)} 58:{1,3,4}:{(33,1),(43,1),(65,1),(66,1),(69,1),(70,1),(77,1)} 59:{1,3,4}:{(34,1),(44,1),(67,1),(68,1),(71,1),(72,1),(78,1)} 60:{1,3,4}:{(35,1),(39,1),(65,1),(67,1),(73,1),(74,1),(79,1)} 61:{1,3,4}:{(36,1),(40,1),(66,1),(68,1),(75,1),(76,1),(80,1)} 62:{1,3,4}:{(37,1),(41,1),(69,1),(71,1),(73,1),(75,1),(81,1)} 63:{1,3,4}:{(38,1),(42,1),(70,1),(72,1),(74,1),(76,1),(82,1)} 64:{2}:{(45,1)} 65:{3,4}:{(46,1),(50,1)} 66:{3,4}:{(47,1),(52,1)} 67:{3,4}:{(48,1),(51,1)} 68:{3,4}:{(49,1),(53,1)} 69:{1,4}:{(46,1),(54,1)} 70:{1,4}:{(47,1),(55,1)} 71:{1,4}:{(49,1),(57,1)} 72:{1,4}:{(48,1),(56,1)} 73:{1,3}:{(50,1),(54,1)} 74:{1,3}:{(51,1),(56,1)} 75:{1,3}:{(53,1),(57,1)} 76:{1,3}:{(52,1),(55,1)} 77:{2,4}:{(58,1),(64,1)} 78:{2,4}:{(59,1),(64,1)} 79:{2,3}:{(60,1),(64,1)} 80:{2,3}:{(61,1),(64,1)} 81:{1,2}:{(62,1),(64,1)} 82:{1,2}:{(63,1),(64,1)} 83:{2,3,4}:{(65,1),(77,1),(79,1),(100,1)} 84:{2,3,4}:{(66,1),(77,1),(80,1),(102,1)} 85:{2,3,4}:{(67,1),(78,1),(79,1),(103,1)} 86:{2,3,4}:{(68,1),(78,1),(80,1),(108,1)} 87:{1,2,4}:{(69,1),(77,1),(81,1),(102,1)} 88:{1,2,4}:{(70,1),(77,1),(82,1),(100,1)} 89:{1,2,4}:{(71,1),(78,1),(81,1),(103,1)} 90:{1,2,4}:{(72,1),(78,1),(82,1),(108,1)} 91:{1,3,4}:{(65,1),(69,1),(73,1),(101,1)} 92:{1,3,4}:{(66,1),(70,1),(76,1),(107,1)} 93:{1,3,4}:{(67,1),(72,1),(74,1),(109,1)} 94:{1,3,4}:{(68,1),(71,1),(75,1),(110,1)} 95:{1,2,3}:{(73,1),(79,1),(81,1),(103,1)} 96:{1,2,3}:{(74,1),(79,1),(82,1),(100,1)} 97:{1,2,3}:{(75,1),(80,1),(81,1),(102,1)} 98:{1,2,3}:{(76,1),(80,1),(82,1),(108,1)} 99:{1,2,3,4}:{(83,1),(87,1),(91,1),(95,1)} 100:{1,3,4}:{(83,1),(88,1),(96,1)} 101:{2}:{(91,1)} 102:{1,3,4}:{(84,1),(87,1),(97,1)} 103:{1,3,4}:{(85,1),(89,1),(95,1)} 104:{1,2,3,4}:{(84,1),(88,1),(92,1),(98,1)} 105:{1,2,3,4}:{(85,1),(90,1),(93,1),(96,1)} 106:{1,2,3,4}:{(86,1),(89,1),(94,1),(97,1)} 107:{2}:{(92,1)} 108:{1,3,4}:{(86,1),(90,1),(98,1)} 109:{2}:{(93,1)} 110:{2}:{(94,1)}