# FILE NAME: 00076-00000001.cat
# TITLE: France 2022 policy approvals
# DESCRIPTION: Dataset 1; score >= 0.7; multichoice and unmapped alternatives excluded; latest eligible answer per user/issue; unobserved alternatives omitted
# DATA TYPE: cat
# MODIFICATION TYPE: induced
# RELATES TO:
# RELATED FILES:
# PUBLICATION DATE: 2026-09-29
# MODIFICATION DATE: 2026-09-29
# NUMBER ALTERNATIVES: 114
# NUMBER VOTERS: 1624
# NUMBER UNIQUE PREFERENCES: 1624
# NUMBER CATEGORIES: 3
# CATEGORY NAME 1: Approved
# CATEGORY NAME 2: Don't know
# CATEGORY NAME 3: Disapproved
# ALTERNATIVE NAME 1: Verser les allocations aux adultes handicapés (AAH) indépendamment des revenus du conjoint
# ALTERNATIVE NAME 2: Bloquer les prix des produits de première nécessité : gaz, électricité, alimentation
# ALTERNATIVE NAME 3: Réserver les aides sociales aux personnes de nationalité francaise
# ALTERNATIVE NAME 4: Restaurer l'universalité des allocations familiales (qui seront versées indépendemment des ressources)
# ALTERNATIVE NAME 5: Verser des allocations familiales importantes dès le premier enfant
# ALTERNATIVE NAME 6: Redistribuer une partie des fonds publics alloués aux villes pour soutenir les zones rurales
# ALTERNATIVE NAME 7: Instaurer l'autonomie de plein droit pour la Corse
# ALTERNATIVE NAME 8: Permettre à tous les couples d'adopter (y compris les couples du même sexe)
# ALTERNATIVE NAME 9: Décriminaliser la mort assistée
# ALTERNATIVE NAME 10: Supprimer les allocations familiales et sociales pour les parents de mineurs délinquants
# ALTERNATIVE NAME 11: Augmenter le nombre d'heures consacrées à l'enseignement du français en primaire et collège
# ALTERNATIVE NAME 12: Supprimer toute forme de sélection à l'entrée de l'université
# ALTERNATIVE NAME 13: Interdire le port du voile pour les accompagnatrices scolaires
# ALTERNATIVE NAME 14: Instaurer une garantie universelle des loyers se substituant aux cautions pour faciliter l’accès au logement, financée à moitié par l'Etat et à moitié par les propriétaires
# ALTERNATIVE NAME 15: Abaisser l'âge de la retraite à 60 ans
# ALTERNATIVE NAME 16: Assurer une pension de retraite minimum équivalente au SMIC
# ALTERNATIVE NAME 17: Indexer le montant des retraites sur l’inflation
# ALTERNATIVE NAME 18: Créer des places en EHPAD et recruter du personnel
# ALTERNATIVE NAME 19: Combler les déserts médicaux
# ALTERNATIVE NAME 20: Nationaliser les autoroutes
# ALTERNATIVE NAME 21: Investir pour entretenir et reconstruire les lignes de chemin de fer locales
# ALTERNATIVE NAME 22: Supprimer les liaisons aériennes hors correspondance lorsqu'il existe une liaison ferroviaire de moins de quatre heures
# ALTERNATIVE NAME 23: Instaurer une taxe sur les billets d'avion lorsqu'il existe un trajet ferroviaire comparable
# ALTERNATIVE NAME 24: Garantir la libre circulation des voitures en ville
# ALTERNATIVE NAME 25: Mettre fin à la semaine de 35 heures
# ALTERNATIVE NAME 26: Réduire le temps de travail à 32 heures par semaine
# ALTERNATIVE NAME 27: Allonger le congé paternité à la même durée que le congé maternité
# ALTERNATIVE NAME 28: Imposer un contrat de travail salarié pour les travailleurs des plateformes en ligne (livraison à domicile, véhicule avec chauffeur etc.)
# ALTERNATIVE NAME 29: Réserver au moins 75% des marchés publics aux entreprises françaises
# ALTERNATIVE NAME 30: Interdire tout écart de salaire supérieur à un rapport de 1 à 20 dans une entreprise
# ALTERNATIVE NAME 31: Privatiser le service public audiovisuel
# ALTERNATIVE NAME 32: Nationaliser ou renationaliser certaines grandes entreprises, notamment Engie et Orange
# ALTERNATIVE NAME 33: Interdire la pratique de la chasse
# ALTERNATIVE NAME 34: Développer une fiscalité décourageant l'obsolescence programmée
# ALTERNATIVE NAME 35: Interdire les pesticides jugés dangereux par l'Autorité Européenne de Sécurité des Aliments
# ALTERNATIVE NAME 36: Interdire les plastiques à usage unique
# ALTERNATIVE NAME 37: Développer davantage le parc nucléaire français
# ALTERNATIVE NAME 38: S'engager vers 100% d'énergies renouvelables pour 2050
# ALTERNATIVE NAME 39: Arrêter la construction d'éoliennes
# ALTERNATIVE NAME 40: Augmenter le budget de la recherche et du développement militaires
# ALTERNATIVE NAME 41: S'abstenir de toute intervention militaire sans mandat de l’ONU
# ALTERNATIVE NAME 42: Rétablissement des contrôles aux frontières par la sortie de la France des accords de Schengen
# ALTERNATIVE NAME 43: Supprimer le droit du sol
# ALTERNATIVE NAME 44: Interdire l'acquisition de la nationalité française autrement que par filiation ou par mérite
# ALTERNATIVE NAME 45: Limiter le regroupement familial
# ALTERNATIVE NAME 46: Traiter les demandes d'asile uniquement depuis l'étranger
# ALTERNATIVE NAME 47: Créer un fichier des criminels et y inscrire les délinquants sexuels et les personnes condamnées pour harcèlement sexuel
# ALTERNATIVE NAME 48: Instaurer la prison à perpétuité sans libération anticipée
# ALTERNATIVE NAME 49: Abaisser l'âge de la majorité pénale de 18 à 16 ans
# ALTERNATIVE NAME 50: Expulser les délinquants étrangers à l’issue de leur peine
# ALTERNATIVE NAME 51: Interdire la reconnaissance faciale dans les espaces publics
# ALTERNATIVE NAME 52: Expulser les étrangers dont le comportement participe de l’islamisme radical
# ALTERNATIVE NAME 53: Créer des unités de police et des magistrats dédiés aux violences faites aux femmes
# ALTERNATIVE NAME 54: Créer un nombre important de postes de policier et de gendarmes
# ALTERNATIVE NAME 55: Fermer toute mosquée où un prédicateur tient un discours hostile aux valeurs de la République
# ALTERNATIVE NAME 56: Utiliser la reconnaissance faciale à l'entrée des transports en commun pour mieux repérer les personnes recherchées
# ALTERNATIVE NAME 57: Interdire le burkini à la piscine municipale
# ALTERNATIVE NAME 58: Mettre en place un service national universel obligatoire
# ALTERNATIVE NAME 59: Accélérer les procédures judiciaires: jugements en moins de six mois pour les délits du quotidien et en moins de 15 jours pour les violences conjugales
# ALTERNATIVE NAME 60: Elire l'Assemblée Nationale au scrutin proportionnel
# ALTERNATIVE NAME 61: Rendre inéligible à vie toute personne condamnée pour corruption
# ALTERNATIVE NAME 62: Convoquer une Assemblée Constituante pour passer à la VIe République
# ALTERNATIVE NAME 63: Inscrire la protection de l'environnement dans la Constitution
# ALTERNATIVE NAME 64: Affirmer la supériorité du droit constitutionnel français sur le droit international
# ALTERNATIVE NAME 65: Ajouter dans la Constitution le droit à l’interruption volontaire de grossesse
# ALTERNATIVE NAME 66: Instaurer le Référendum d'Initiative Citoyenne
# ALTERNATIVE NAME 67: Instaurer une immigration choisie avec des quotas par métiers et par pays
# ALTERNATIVE NAME 68: Reconnaître le vote blanc
# ALTERNATIVE NAME 69: Réinstaurer le septennat
# ALTERNATIVE NAME 70: Instaurer le droit de vote à 16 ans
# ALTERNATIVE NAME 71: Ouvrir le droit de vote des extra-européens aux élections locales
# ALTERNATIVE NAME 72: Soumettre les investissements étrangers à l'approbation d'un Haut Conseil de la souveraineté économique et numérique
# ALTERNATIVE NAME 73: Rétablir l'Ecole Nationale d'Administration (ENA)
# ALTERNATIVE NAME 74: Revaloriser les salaires des gendarmes et policiers
# ALTERNATIVE NAME 75: Baisser la TVA sur les carburants
# ALTERNATIVE NAME 76: Rétablir l’impôt de solidarité sur la fortune (ISF)
# ALTERNATIVE NAME 77: Supprimer la redevance télé
# ALTERNATIVE NAME 78: Alléger l'impôt sur la fortune immobilière en l'exonérant de 50% de la valeur de la résidence principale
# ALTERNATIVE NAME 79: Exonérer totalement les entrepreneurs de moins 30 ans de l’impôt sur les sociétés
# ALTERNATIVE NAME 80: Créer un revenu citoyen
# ALTERNATIVE NAME 81: Légaliser le cannabis
# ALTERNATIVE NAME 82: Individualisation de l'impôt et fin du quotient conjugal
# ALTERNATIVE NAME 83: Rembourser la PMA à toutes les femmes
# ALTERNATIVE NAME 84: Permettre un changement de sexe dans l'état civil sur simple demande
# ALTERNATIVE NAME 85: Rembourser le processus de transition médicale des personnes transgenres
# ALTERNATIVE NAME 86: Supprimer la tarification à l'acte à l'hôpital
# ALTERNATIVE NAME 87: Lever les brevets des vaccins contre le Covid-19
# ALTERNATIVE NAME 88: Garantir le droit d'asile pour les réfugiés
# ALTERNATIVE NAME 89: Régulariser les sans-papiers
# ALTERNATIVE NAME 90: Remplacer Parcoursup par un système plus transparent
# ALTERNATIVE NAME 91: Consacrer 3 % du PIB à la recherche et au développement
# ALTERNATIVE NAME 92: Sortir du commandement intégré de l'OTAN
# ALTERNATIVE NAME 93: Parachever l'autonomie des universités
# ALTERNATIVE NAME 94: Reprendre la réforme des retraites du gouvernement sortant
# ALTERNATIVE NAME 95: Accroître l'industrialisation du pays
# ALTERNATIVE NAME 96: Enseigner une seconde langue dès l'école primaire
# ALTERNATIVE NAME 97: Augmenter le montant des APL
# ALTERNATIVE NAME 98: Mettre en place un prêt étudiant
# ALTERNATIVE NAME 99: Defendre la chasse et la pêche
# ALTERNATIVE NAME 100: Envoyer des armes à l'Ukraine
# ALTERNATIVE NAME 101: S'opposer à l'entrée de l'Ukraine dans l'OTAN
# ALTERNATIVE NAME 102: Défendre les langues et cultures régionales
# ALTERNATIVE NAME 103: Combattre l'élevage et l'abattage intensifs
# ALTERNATIVE NAME 104: Ne pas envoyer des militaires français en Ukraine
# ALTERNATIVE NAME 105: Augmenter le budget de la défense au-delà de 2 % du PIB
# ALTERNATIVE NAME 106: Mettre 2 heures supplémentaires de sport par semaine au collège
# ALTERNATIVE NAME 107: Relocaliser en France la production de médicaments
# ALTERNATIVE NAME 108: Proposer un cumul emploi-retraite plus simple et plus avantageux
# ALTERNATIVE NAME 109: Simplifier le mille-feuille territorial : les élus départementaux seront les mêmes que les élus régionaux, avec un seul « conseiller territorial »
# ALTERNATIVE NAME 110: Baisser les charges des indépendants
# ALTERNATIVE NAME 111: Limiter l'impôt sur les successions jusqu’à 150 000 € par enfant
# ALTERNATIVE NAME 112: Conditionner le RSA à une activité effective qui permet l’insertion
# ALTERNATIVE NAME 113: Généraliser l’enseignement de l'informatique et des usages du numériques à partir de la classe de cinqiuème
# ALTERNATIVE NAME 114: Priver de droits civiques ceux qui s’en prennent aux dépositaires de l’autorité publique
1: {}, {}, {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114}
1: {}, {}, {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,26}
1: {}, {}, {1,2,3,4,5,7,8,15,16,17,18,19,25,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,47,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90}
1: {}, {}, {1,2,4,62,67}
1: {}, {1,2,3,4,11,36,37,39,40,73,74,101}, {}
1: {}, {4,38,86,104}, {3,5,16,44,50,58,76,98,100}
1: {}, {43,101}, {55,92}
1: {}, {50,53}, {}
1: {}, {57,69}, {84,91,104}
1: 1, {2,3,4,5,8,10}, {6,7}
1: 1, {3,9}, {}
1: 1, {3,43,48,55}, 2
1: {1,2,3,4,5,6,7,8,9,12,14,16,17,18,19,21,22,23,27,30,32,34,35,36,38,41,47,50,56,59,61,62,63,64,65,66,71,72,73,75,76,80,81,83,84,87,88,90,91,95,97,98,99,100,101,102,107,108,109,113}, {10,11,13,15,20,24,25,28,29,31,33,37,39,40,42,43,44,45,46,48,49,54,57,58,60,67,68,69,70,74,77,78,79,82,85,86,92,93,94,96,103,104,105,110,112,114}, {26,51,52,53,55,89,106,111}
1: {1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,24,27,28,29,30,31,34,35,36,37,40,41,44,48,50,51,52,55,57,59,61,63,65,67,68,72,75,77,83,84,85,86,87,90,91,95,104,105,106,107,109,111,112}, {10,11,12,13,22,23,26,32,33,38,39,42,43,45,46,47,49,53,54,56,58,60,62,64,66,69,70,71,73,74,76,78,79,80,81,82,89,92,93,94,96,97,98,99,100,101,102,103,108,110,113,114}, {25,88}
1: {1,2,3,4,5,6,8,9,10,11,12,13,16,18,19,20,21,22,23,26,27,29,30,34,35,36,38,43,44,45,47,48,49,52,53,54,55,57,58,59,60,61,62,63,66,68,69,72,74,76,77,81,87,90,91,93,94,95,96,100,102,103,105,107,109,111,112,113,114}, {14,15,17,24,25,28,37,39,42,51,64,70,71,73,75,79,83,86,89,92,97,101,110}, {7,31,32,33,40,41,46,50,56,65,67,78,80,82,84,85,88,98,99,104,106,108}
1: {1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,40,41,44,47,48,50,51,52,54,55,58,59,60,61,62,63,64,65,66,67,68,72,74,75,76,77,79,81,82,86,87,90,91,92,94,95,96,97,98,101,102,103,104,106,107,108,110,113}, {7,12,24,31,33,38,39,42,43,45,49,53,56,57,69,70,71,73,78,80,83,84,85,88,89,99,100,105,109,111,112,114}, {46,93}
1: {1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,18,19,20,21,25,27,30,32,34,35,38,39,40,41,42,43,44,46,47,48,49,50,52,53,54,55,56,57,58,59,61,63,65,66,67,68,72,75,77,80,81,83,84,85,86,91,95,96,97,98,100,102,105,107,108,111,113,114}, {7,12,22,23,24,26,33,51,69,70,71,76,78,79,82,88,89,92,94,101,106,112}, {28,29,31,36,37,45,60,62,64,73,74,87,90,93,99,103,104,109,110}
1: {1,2,3,4,5,6,8,9,10,11,13,14,59,60,61,63,64,65,91,92,93,107,108,109,110,112}, {7,12,15,62,71,94,113}, 66
1: {1,2,3,4,5,6,8,9,10,11,13,16,17,18,19,20,21,22,27,29,30,32,33,34,35,37,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,59,60,61,62,64,66,67,68,72,74,79,81,90,91,92,95,98,103,107,108,114}, {7,25,26,63,70,71,82,84,85,88,89,96,99,111,112,113}, {12,14,15,23,24,28,31,36,38,39,40,56,58,65,69,73,75,76,77,78,80,83,86,87,93,94,97,100,101,102,104,105,106,109,110}
1: {1,2,3,4,5,6,8,9,10,11,13,17,18,19,21,23,25,27,28,29,34,35,36,37,40,43,44,45,47,48,49,50,52,54,55,56,57,58,59,61,63,64,67,68,69,71,72,73,74,77,78,79,86,89,90,91,94,95,96,97,99,100,102,105,106,107,108,109,110,111,112,113,114}, {7,14,20,22,26,31,32,33,38,39,41,42,46,51,53,62,65,70,75,80,81,83,85,92,101,104}, {12,15,16,24,30,60,66,76,82,84,87,88,93,98,103}
1: {1,2,3,4,5,6,8,9,10,11,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,41,43,44,45,46,47,50,51,52,59,60,61,63,64,65,66,67,68,69,70,72,76,77,80,81,82,83,85,86,88,90,91,95,100,102,103,107,109,111}, {12,24,25,31,39,48,55,56,57,58,71,74,75,78,79,84,87,93,94,96,98,99,101,104,105,106,108,112,114}, {7,13,29,38,40,42,49,53,54,62,73,89,92,97,110,113}
1: {1,2,3,4,5,6,8,9,10,11,14,15,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,40,43,44,45,46,47,48,49,50,51,52,54,55,58,59,60,61,62,63,64,65,66,68,69,72,74,76,77,79,81,83,87,88,90,91,95,96,97,98,100,102,103,104,105,106,107,109,111,113,114}, {7,12,13,16,24,31,33,37,39,41,42,53,56,57,67,70,71,73,75,78,80,82,84,85,86,89,92,93,94,99,101,108,110,112}, {}
1: {1,2,3,4,5,6,8,9,10,11,17,18,20,21,27,28,29,35,36,37,40,47,49,50,53,54,56,57,59,60,61,64,65,67,68,72,73,74,75,76,81,82,83,84,91,92,93,95,96,98,101,102,104,105,106,107,112,113,114}, {7,13,14,15,16,23,24,25,26,30,41,42,43,44,46,48,51,55,62,70,71,77,78,79,80,86,87,88,89,97,100,109,110,111}, {34,39,45,66,99,108}
1: {1,2,3,4,5,6,8,9,11,13,16,17,18,19,20,21,25,27,29,32,33,34,35,36,38,40,43,45,47,48,50,52,53,54,56,57,58,59,60,61,65,68,74,75,76,77,78,80,83,85,88,91,94,98,103,104,106,107,108,109,110,112,114}, {10,12,14,15,22,23,24,26,28,30,31,49,51,64,69,71,79,81,97,99,102,111}, {7,39,41,42,46,66,67,72,82,84,86,89,92,93,95,100,101,105}
1: {1,2,3,4,5,6,8,11,12,16,17,18,19,20,21,24,27,29,33,34,35,36,38,41,43,47,48,52,53,54,56,57,59,61,63,65,66,68,71,72,75,76,77,78,83,88,89,90,91,95,96,102,106,107,111,112}, {10,14,23,25,26,31,32,42,44,45,49,50,51,55,58,67,69,70,74,79,82,87,92,97,101,104,113}, {7,13,15,30,37,39,40,46,62,64,73,80,81,84,85,86,93,94,98,99,100,105,109,110,114}
1: {1,2,3,4,5,6,8,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,35,36,38,40,43,45,47,49,50,51,52,54,55,57,58,59,60,61,62,63,65,66,67,68,72,74,75,76,77,79,80,82,83,86,87,90,91,95,96,103,104,105,107,109,110,112,113}, {12,24,31,37,39,42,44,69,70,71,73,78,81,84,89,94,98,99,106}, {7,9,10,13,34,41,46,48,53,56,64,85,88,92,93,97,100,101,102,108,111,114}
1: {1,2,3,4,5,6,9,10,11,13,16,18,19,20,21,24,27,28,29,31,32,34,36,37,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,59,60,63,64,66,67,69,72,73,74,75,77,79,82,86,90,91,92,95,97,101,102,103,105,106,107,108,109,110,112,113,114}, {7,8,12,15,17,22,23,25,26,35,38,41,58,61,62,65,68,70,71,76,78,80,81,83,84,85,87,88,89,93,94,96,99,100,111}, {14,30,33,98,104}
1: {1,2,3,4,5,6,10,11,12,13,16,18,19,20,21,22,23,25,27,28,29,30,31,32,34,35,36,37,38,40,41,42,43,44,45,46,47,50,51,52,53,54,55,57,58,59,60,61,62,63,64,66,67,71,72,73,74,76,77,79,80,81,83,86,89,90,91,92,95,96,98,101,102,103,104,105,106,107,108,109,110,112,113,114}, {7,8,14,15,17,24,26,33,39,48,49,56,65,68,70,75,78,82,84,85,87,88,99,100,111}, {9,69,93,94,97}
1: {1,2,3,4,5,6,10,13,18,19,20,21,22,28,29,31,32,34,35,37,39,40,42,43,44,45,48,50,51,52,54,55,57,58,61,64,66,68,75,77,78,79,81,90,92,93,95,99,101,102,103,104,105,107}, {7,8,9,12,14,15,26,27,30,33,38,41,46,49,53,56,62,65,67,69,70,71,73,74,80,84,85,88,89,96,97,98,100,106,113,114}, {11,16,17,23,24,25,36,47,59,60,63,72,76,82,83,86,87,91,94,108,109,110,111,112}
1: {1,2,3,4,5,8,9,11,13,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,34,35,37,38,40,46,48,50,52,53,55,56,58,59,60,61,62,63,64,65,66,67,68,72,74,75,76,80,81,82,83,87,90,91,95,96,97,100,103,106,107,108,109,111,113,114}, {7,12,31,42,45,49,70,71,73,77,78,79,84,85,86,93,94,98,104,112}, {6,10,22,24,33,36,39,41,43,44,47,51,54,57,69,88,89,92,99,101,102,105,110}
1: {1,2,3,4,5,8,9,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,36,37,40,41,42,45,48,49,50,51,52,54,55,57,59,60,61,62,64,66,67,68,72,74,76,80,82,86,87,90,91,92,95,96,98,99,103,107,111}, {10,11,12,24,31,33,38,39,44,56,58,65,69,71,78,79,83,84,85,89,93,106,112,114}, {6,7,25,35,43,46,47,53,63,70,73,75,77,81,88,94,97,100,101,102,104,105,108,109,110,113}
1: {1,2,3,4,5,9,10,11,13,16,17,18,19,28,29,31,34,42,43,44,45,46,47,48,50,52,53,54,55,56,57,59,60,61,62,63,66,67,74,75,77,78,79,83,86,90,92,96,97,101,102,106,107,108,109,110,111,112,114}, {7,8,12,15,21,22,23,25,26,27,30,33,37,38,49,58,64,65,68,70,71,76,81,82,84,85,87,93,99,103,105,113}, {6,14,20,24,32,35,36,39,40,41,51,69,72,73,80,88,89,91,94,95,98,100,104}
1: {1,2,3,4,5,9,11,13,18,19,20,21,23,27,29,32,37,39,40,43,44,45,47,48,50,51,52,53,54,55,58,64,65,76,78,83,95,98,102,105,107,111,113}, {6,7,8,12,14,15,16,22,24,25,26,30,31,33,38,42,49,62,72,75,77,85,88,94,106,109}, {17,34,35,46}
1: {1,2,3,4,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,25,27,28,29,30,31,35,36,38,40,41,47,48,49,50,52,53,55,56,59,60,61,63,64,65,68,69,72,73,74,75,76,77,81,83,89,91,95,97,98,100,101,103,106,109,110,111,112,113}, {5,13,22,23,24,26,32,33,37,39,42,44,45,51,54,57,58,67,70,78,79,82,84,85,87,88,94,99,102,104,105,108}, {34,43,46,62,66,71,80,86,90,92,93,96,107,114}
1: {1,2,3,4,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,27,28,29,30,31,33,34,35,36,37,38,40,41,44,47,48,49,50,52,53,54,55,56,58,59,60,61,63,65,66,67,68,72,74,75,76,77,81,83,84,85,86,87,88,90,91,95,96,100,102,103,104,105,106,107,109,111,112,113}, {15,25,32,39,42,43,45,46,51,57,64,69,70,71,73,78,79,82,92,94,97,98,99,101,110,114}, {5,7,26,62,80,89,93,108}
1: {1,2,3,4,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,28,29,31,34,35,36,38,43,45,46,47,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,67,68,70,71,72,74,75,77,78,79,80,81,82,87,88,90,91,95,96,98,100,101,102,103,104,105,106,107,110,111,112,113}, {5,7,30,33,41,42,44,56,66,73,76,84,85,89,92,114}, {15,24,25,26,37,39,69,86,93,94,97,99}
1: {1,2,3,4,6,8,9,10,11,13,16,17,18,19,20,21,24,27,29,30,32,34,35,36,37,38,41,43,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,72,74,75,76,77,78,79,81,82,83,84,86,87,90,91,92,93,95,96,98,99,101,102,103,104,105,106,107,109,113,114}, {5,15,25,26,31,39,42,44,56,70,71,73,80,85,89,94,111,112}, {7,12,14,22,23,28,33,40,69,88,97,100,108,110}
1: {1,2,3,4,6,8,9,10,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,36,37,41,42,43,44,45,47,48,50,51,52,54,55,57,60,61,62,63,64,65,66,67,68,72,73,74,76,77,80,81,82,83,84,85,86,87,90,91,92,93,95,96,97,98,107,109,113,114}, {7,12,31,40,49,59,69,70,71,78,89,94,102,108,112}, {5,11,24,33,35,38,39,46,53,56,58,75,79,88,99,100,101,103,104,105,106,110,111}
1: {1,2,3,4,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,35,36,38,39,42,44,47,48,50,51,52,53,55,59,60,64,66,68,75,76,77,79,80,81,82,86,87,91,92,95,96,97,98,101,102,103,104,106,107,108,109,110,113}, {13,40,49,54,56,57,71,74,84,94,99,100,105}, {5,7,10,31,34,37,41,43,45,46,58,61,62,63,65,67,69,70,72,73,78,83,85,88,89,90,93,111,112,114}
1: {1,2,3,4,6,8,9,11,13,14,16,17,18,19,21,23,25,27,28,29,30,32,34,35,36,37,39,41,43,44,46,47,48,49,50,52,53,55,56,57,58,59,60,61,63,65,66,67,71,72,74,76,77,79,80,84,86,89,91,93,96,97,98,99,100,102,103,105,106,107,108,109,110,112,113,114}, {5,10,12,15,20,22,24,26,33,40,42,45,51,64,68,69,70,75,78,81,82,83,85,87,88,90,92,95,101,111}, {7,31,38,54,62,73,94,104}
1: {1,2,3,4,6,8,9,11,15,16,17,18,19,20,21,24,27,29,30,32,34,35,36,37,38,41,42,43,44,47,48,49,50,51,52,55,58,59,61,62,64,66,67,68,72,75,76,77,79,81,86,87,88,89,90,91,92,95,96,97,101,103,104,105,106,107,108,110,113}, {7,10,12,13,14,22,23,25,26,28,39,45,46,53,54,56,63,69,70,71,73,74,78,82,83,84,85,93,94,98,99,100,109,111,112,114}, {5,31,33,40,57,60,65,80,102}
1: {1,2,3,4,6,8,9,14,15,16,17,18,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,39,41,47,48,49,50,52,53,54,55,58,59,61,62,63,64,65,68,69,71,72,74,76,78,79,80,81,83,84,85,86,87,90,91,94,95,103,104,107,109,110,113,114}, {5,7,10,12,13,19,24,25,31,38,40,42,43,44,45,46,51,56,66,67,70,73,75,77,82,92,93,96,97,98,99,101,102,105,108,111,112}, {11,57,60,88,89,100,106}
1: {1,2,3,4,6,8,11,12,13,14,15,17,18,19,20,21,24,26,27,28,29,32,34,35,36,37,40,45,49,50,52,53,54,55,57,59,60,61,62,64,65,66,67,68,72,73,74,75,76,80,81,83,86,87,90,91,92,95,96,97,99,100,104,105,106,107,113}, {5,7,9,10,16,22,23,25,30,31,33,38,39,41,42,43,44,47,48,51,56,58,63,69,70,71,77,78,79,82,84,85,88,89,93,94,98,101,102,103,108,109,110,111,112,114}, 46
1: {1,2,3,4,6,9,10,11,13,14,16,18,19,20,21,22,23,24,27,28,29,32,34,44,46,53,54,56,58}, {7,8,12,15,25,26,30,31,51}, {5,17,43,45}
1: {1,2,3,4,6,10,11,12,14,16,17,18,19,20,21,22,23,27,28,29,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,59,60,61,63,64,66,67,68,72,75,78,79,82,86,87,90,91,95,98,99,102,103,104,107,108,109,110,111,112,114}, {5,8,9,13,24,25,31,33,56,57,65,70,71,73,77,84,85,89,94,96,100,106,113}, {7,15,26,30,37,62,69,74,76,80,81,83,88,92,93,97,101,105}
1: {1,2,3,4,8,9,11,16,17,18,19,20,21,26,27,28,29,30,31,35,36,37,51,52,53,59,60,61,64,65,68,72,75,76,77,81,84,86,87,91,93,95,96,100,102,103,107,108,109,110,111,113}, {7,10,12,14,23,33,38,39,40,42,43,49,50,56,58,70,71,74,78,90,92,94,98,99,101,104,105,112}, {5,6,13,15,22,24,25,32,34,41,44,45,46,47,48,54,55,57,62,63,66,67,69,73,79,80,82,83,85,88,89,97,106,114}
1: {1,2,3,5,6,8,9,10,11,15,17,18,19,22,23,26,27,28,29,32,34,35,36,37,47,49,51,52,55,60,61,62,63,64,66,67,68,72,75,76,77,80,83,84,85,87,88,90,92,95,96,97,98,99,100,104,107,108,109,111,113}, {12,16,24,25,31,33,38,39,40,41,42,43,44,45,46,48,50,56,58,59,65,69,70,71,73,74,78,79,82,89,94,101,103,110,112,114}, {4,7,13,14,20,21,30,53,54,57,81,86,91,93,102,105,106}
1: {1,2,3,5,6,8,9,10,12,14,15,16,17,18,19,21,23,26,27,28,30,33,34,35,36,37,38,41,47,49,50,52,53,55,57,58,59,60,61,62,63,66,68,74,75,76,77,79,80,81,84,87,88,90,91,96,97,98,102,103,106,107,109,110,111,113}, {7,13,20,22,25,31,39,40,42,43,56,67,69,70,73,99,101,104,105,112,114}, {4,11,24,29,32,44,45,46,48,51,54,64,65,71,72,78,82,83,85,86,89,92,93,94,95,100,108}
1: {1,2,3,5,6,8,9,10,13,16,17,18,19,29,35,36,37,38,40,46,47,48,50,52,53,54,55,56,59,61,62,65,66,67,68,75,77,78,79,81,83,84,88,91,94,95,96,98,100,102,105,106,108,109,110,111,113,114}, {4,11,12,14,15,20,21,22,23,24,25,26,27,28,30,31,32,33,42,43,44,45,49,51,63,69,70,71,72,74,76,80,82,85,87,89,92,93,99,101,103,107,112}, {7,34,39,41,57,58,60,64,73,86,90,97,104}
1: {1,2,3,5,6,8,9,11,16,17,18,19,20,23,26,28,29,30,32,47,48,60,61,62}, {7,10,12,13,14,15,21,22,25,27,31,39,43,45,46,52,53,55,57}, {4,24,49,50,51,54,56}
1: {1,2,3,5,6,8,9,14,16,17,18,19,20,21,22,23,27,29,30,32,34,35,36,37,45,51,52,53,55,58,59,60,63,64,65,66,67,72,74,75,76,80,86,87,88,91,95,97,100,102,111,113}, {7,10,12,24,25,31,33,38,39,42,43,44,47,48,49,50,56,70,77,89,92,93,96,99,112,114}, {4,11,13,15,26,28,40,41,46,54,57,61,62,68,69,71,73,78,79,81,82,83,84,85,90,94,98,101,103,104,105,106,107,108,109,110}
1: {1,2,3,5,6,8,14,19,20,25,27,30,34,35,37,38,40,43,50,52,53,58,63,65,68,74,75,77,78,79,83,84,85,87,90,91,96,97,101,103,105,108,110,111,113}, {12,15,23,26,31,39,49,60,61,67,69,100}, {4,7,9,10,11,13,16,17,18,21,22,24,28,29,32,33,36,41,42,44,45,46,47,48,51,54,55,56,57,59,62,64,66,70,71,72,73,76,80,81,82,86,88,89,92,93,94,95,98,99,102,104,106,107,109,112,114}
1: {1,2,3,5,6,9,10,11,12,13,14,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,57,58,59,60,61,63,64,66,67,68,69,72,74,75,76,77,79,86,87,90,91,92,93,95,99,101,102,103,104,105,106,107,108,109,110,111,112,113}, {4,7,8,15,24,25,26,31,33,70,71,81,83,84,85,88,89,96,100,114}, {16,17,38,41,51,56,62,65,73,78,80,82,94,97,98}
1: {1,2,3,5,6,9,10,11,13,15,16,17,18,19,20,21,24,28,29,32,34,35,37,39,40,41,42,43,44,45,46,47,48,50,51,52,54,55,57,59,60,61,64,66,67,68,69,72,75,76,77,86,90,91,92,95,99,101,104,105,106,107,108,109,112,114}, {4,7,12,14,22,23,25,26,30,31,33,36,38,49,53,56,58,62,63,65,70,71,74,78,79,80,81,82,83,84,85,87,88,89,93,94,96,98,100,102,103,110,111,113}, {8,27,73,97}
1: {1,2,3,5,6,9,10,11,13,16,17,18,19,20,21,23,28,29,31,33,34,35,36,37,38,41,42,43,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,63,65,66,67,68,75,76,77,81,87,90,91,93,95,96,101,102,103,104,107,108,109,112,113,114}, {4,7,8,12,14,15,24,25,26,27,30,32,39,40,44,49,51,62,64,69,70,71,72,73,74,79,80,82,83,84,85,86,88,89,92,94,97,98,99,105,106,111}, {22,78,100,110}
1: {1,2,3,5,6,9,10,13,15,16,17,18,19,20,24,28,29,31,32,34,35,37,42,44,45,47,48,49,50,51,52,55,57,59,60,61,64,65,66,68,72,75,77,78,81,83,86,94,95,99,101,102,103,104,107,110,111,112,113,114}, {7,8,14,22,23,25,33,36,38,39,54,56,63,67,69,70,80,84,85,88,89,96,100,105,106}, {4,11,12,21,26,27,30,40,41,43,46,53,58,62,71,73,74,76,79,82,87,90,91,92,93,97,98,108,109}
1: {1,2,3,5,6,10}, {4,7,14}, 8
1: {1,2,3,5,6,10,11,13,15,16,17,18,19,20,21,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,72,74,75,77,79,81,82,86,87,90,91,92,93,95,96,98,99,100,102,103,105,106,107,109,110,111,112,113,114}, {4,7,8,12,14,23,30,33,41,42,49,51,62,65,70,71,73,76,80,83,84,85,88,89,94,97,101,108}, {9,22,78,104}
1: {1,2,3,5,6,10,11,13,16,17,18,19,20,21,22,23,24,28,29,32,34,35,36,37,39,40,42,43,44,46,47,48,49,50,51,52,54,55,57,58,59,61,64,69,72,73,74,75,76,77,79,86,87,90,91,92,95,98,99,101,102,103,104,105,106,107,108,110,111}, {4,7,8,9,12,15,25,26,27,30,31,33,38,41,53,56,60,62,63,65,66,67,68,70,71,78,80,81,82,83,84,85,88,89,93,94,96,100,109,112,113,114}, {14,45,97}
1: {1,2,3,5,6,10,11,13,16,17,18,19,20,21,24,28,29,30,31,34,35,37,39,40,42,43,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,64,66,67,68,69,72,73,74,77,79,86,87,90,91,92,95,98,99,101,102,104,105,106,107,108,109,110,111,113,114}, {4,7,8,12,14,22,26,27,32,33,36,38,41,44,53,62,63,65,70,71,80,81,82,83,84,85,88,89,94,97,100}, {15,23,25,76,78,93,103,112}
1: {1,2,3,5,8,9,13,14,15,16,17,21,26,27,28,30,34,35,37,38,40,41,47,50,52,53,56,59,61,63,65,66,67,72,75,76,80,83,88,89,91,95,96,97,98,100,103,104,105,108,112,113}, {4,6,10,11,12,18,20,22,23,29,31,32,33,36,39,42,43,48,49,51,54,57,58,64,68,69,70,71,73,74,77,78,79,81,82,84,86,87,92,93,99,101,102,107,111,114}, {7,19,24,25,44,45,46,55,60,62,85,90,94,106,109,110}
1: {1,2,3,6,7,8,9,10,11,13,15,16,17,18,19,21,22,23,27,28,29,34,35,36,37,39,40,41,44,46,47,49,50,51,52,55,57,58,59,61,63,65,66,67,68,69,71,72,74,78,79,81,90,91,95,96,98,99,100,102,103,105,106,107,112,113}, {5,12,20,25,26,30,31,33,42,53,56,62,64,70,73,75,76,77,80,83,85,87,92,93,94,101,104,109,111}, {4,14,24,32,38,43,45,48,54,60,82,84,86,88,89,97,108,110,114}
1: {1,2,3,6,7,8,9,10,11,15,16,17,18,19,20,21,22,23,26,29,30,31,33,34,35,36,37,39,42,43,44,45,47,48,49,50,51,52,54,55,59,60,61,63,65,67,68,76,77,80,81,82,84,87,88,91,95,96,97,100,103,106,107,108,109,110,113}, {4,5,12,13,14,24,25,27,28,32,38,40,41,46,53,56,57,58,62,64,66,69,70,71,72,73,74,75,78,79,83,85,89,92,98,99,102,105,111,112,114}, {86,90,93,94,101,104}
1: {1,2,3,6,7,8,9,10,13,15,16,18,19,20,21,22,23,25,26,28,29,30,31,32,34,35,36,37,38,39,42,43,44,45,47,48,49,50,52,54,55,57,58,59,60,61,62,63,66,67,68,69,71,72,74,75,76,77,80,81,83,87,91,96,98,99,100,102,103,104,105,106,107,110,111,112,113}, {4,5,11,12,14,24,33,40,51,56,65,70,73,78,79,84,85,88,89,90,93,94,95,97,101,109}, {17,27,41,46,53,64,82,86,92,108,114}
1: {1,2,3,6,7,9,10,11,17,18,19,20,21,24,27,28,29,32,33,34,35,36,37,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,72,75,76,77,87,90,91,93,94,95,96,98,103,104,105,106,107,110,111,112,113,114}, {4,5,8,12,15,16,22,23,25,26,30,31,51,62,65,68,70,71,73,74,78,79,80,81,85,86,88,89,92,97,99,102,108,109}, {13,14,38,39,69,82,83,84,100,101}
1: {1,2,3,6,7,10,11,13,16,17,18,19,20,21,24,25,29,31,34,37,40,42,43,44,45,46,47,48,49,50,51,52,54,55,56,57,58,59,60,61,64,67,68,69,72,74,75,76,77,78,82,86,90,91,93,95,99,101,102,104,105,107,110,111,114}, {4,8,9,12,14,22,23,26,27,30,33,35,36,38,53,62,63,65,70,71,73,80,81,83,84,85,87,88,89,94,96,97,98,100,106,112,113}, {5,15,28,32,39,41,66,79,92,103,108,109}
1: {1,2,3,6,8,9,10,11,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,40,41,46,47,48,50,51,52,53,55,57,58,59,60,61,62,63,65,66,67,68,72,74,75,76,77,78,79,80,81,83,84,87,90,91,93,95,96,98,100,102,103,106,107,108,109,110,111,112,113,114}, {4,5,15,37,39,42,45,49,56,69,70,71,73,85,88,89,97,99,101,104,105}, {7,31,43,44,54,64,82,86,92,94}
1: {1,2,3,6,8,9,10,11,13,14,17,18,19,21,22,23,24,25,27,29,32,34,35,36,38,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,61,63,64,68,72,75,76,77,78,82,84,85,86,87,88,90,91,93,94,95,96,98,100,102,103,104,105,107,108,109,111,112,113,114}, {4,5,7,12,15,16,26,33,51,60,62,67,70,71,79,80,83,92,97,106}, {20,30,37,39,40,53,69,73,81,89,99,101,110}
1: {1,2,3,6,8,9,10,11,13,17,18,19,21,23,27,29,31,35,36,37,40,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,72,74,77,78,90,91,92,93,95,96,99,101,102,103,104,105,106,107,109,110,111,112,113,114}, {4,7,12,14,15,16,20,22,24,25,26,30,32,33,38,39,41,49,51,62,70,71,73,75,76,80,81,84,85,86,87,88,89}, {5,28,34,42,65,69,79,82,83,94,97,98,100,108}
1: {1,2,3,6,8,9,10,11,13,17,18,20,21,22,23,25,27,29,30,32,34,35,36,37,38,40,43,45,47,48,50,51,52,53,55,57,58,60,61,62,63,65,66,67,68,69,76,77,82,83,85,87,91,94,95,96,100,101,104,106,107,112,113}, {4,5,12,15,16,24,26,31,39,42,44,49,56,64,70,71,75,78,79,80,86,88,89,90,97,98,99,102,103,111,114}, {7,14,19,28,33,41,46,54,59,72,73,74,81,84,92,93,105,108,109,110}
1: {1,2,3,6,8,9,10,11,16,17,18,19,20,21,22,23,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,45,46,47,48,50,51,52,53,54,55,56,57,59,60,63,65,66,67,72,75,76,77,78,81,85,90,91,93,98,99,101,102,103,104,105,106,107,108,111,112,113,114}, {4,12,13,24,25,26,33,44,49,62,69,70,71,73,79,80,88,89,109}, {5,7,14,15,30,58,61,64,68,74,82,83,84,86,87,92,94,95,96,97,100,110}
1: {1,2,3,6,8,9,10,12,13,16,17,18,21,24,25,26,59,60,63,64,65,67,68,72,73,74,75,77,78,79,81,82}, {4,5,14,20,22,23,27,66,70,71,76,80,88}, {11,15,19,61,62,69}
1: {1,2,3,6,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,26,28,29,30,32,35,39,40,41,42,44,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,63,65,66,67,68,73,74,75,76,77,79,81,82,83,91,93,94,95,98,102,103,104,106,107,108,109,110,111,112,114}, {4,5,7,11,12,25,27,31,33,36,37,38,45,46,51,69,70,71,78,84,85,86,88,89,96,97,99,100,105,113}, {34,43,64,72,80,87,90,92,101}
1: {1,2,3,6,8,9,10,13,17,18,19,20,24,27,28,29,34,35,37,40,43,44,45,47,48,50,52,53,55,59,60,61,64,65,66,67,68,72,74,75,76,79,81,90,91,95,96,97,98,99,100,102,105,107,108,110,111,113}, {4,5,16,22,23,32,33,39,41,42,46,58,62,69,70,73,78,80,85,92,101,104}, {7,11,12,14,15,21,25,26,30,31,36,38,49,51,54,56,57,63,71,77,82,83,84,86,87,88,89,93,94,103,106,109,112,114}
1: {1,2,3,6,8,9,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,31,32,33,34,35,36,37,38,42,47,48,49,50,51,52,53,55,59,61,63,65,66,67,68,71,72,75,76,77,78,79,80,81,83,84,85,86,87,88,89,90,91,92,96,97,98,102,103,104,105,106,108,109,110,112,113,114}, {4,10,12,30,39,40,43,44,45,46,54,56,57,58,60,64,69,70,73,74,82,93,94,95,99,100,101,107,111}, {5,7,13,24,29,41,62}
1: {1,2,3,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,43,44,45,46,47,48,49,50,51,52,53,54,55,58,60,61,62,63,65,66,67,68,69,70,72,74,76,80,81,82,83,84,86,87,90,91,95,96,97,98,100,102,103,105,106,107,108,109,111}, {4,12,24,25,31,39,42,56,71,75,77,78,79,92,93,94,99,104,112}, {5,7,10,13,40,41,57,59,64,73,85,88,89,101,110,113,114}
1: {1,2,3,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,29,35,36,38,41,46,50,51,52,53,59,61,63,65,66,67,68,74,75,76,77,86,87,90,91,95,96,98,102,104,105,107,108,110,113}, {4,5,7,10,12,13,24,25,31,32,33,34,39,40,42,45,48,49,54,56,57,58,62,69,70,71,72,73,78,79,80,81,82,83,84,85,88,89,92,94,100,106,112,114}, {28,30,37,43,44,47,55,60,64,93,97,99,101,103,109,111}
1: {1,2,3,6,8,9,11,16,17,18,19,20,21,23,28,32,35,36,38,40,47,48,49,50,52,53,54,55,56,59,60,61,63,65,68,74,75,76,87,90,91,95,96,101,102,103,104,105,107,108,111,113,114}, {4,7,12,22,26,27,39,44,51,69,70,71,79,80,82,85,86,89,93,98,100,109}, {5,10,13,14,15,24,25,29,30,31,33,34,37,41,42,43,45,46,57,58,62,64,66,67,72,73,77,78,81,83,84,88,92,94,97,99,106,110,112}
1: {1,2,3,6,8,9,11,16,17,18,19,21,24,25,28,29,34,35,36,37,40,45,47,48,49,50,52,53,54,55,56,57,59,60,61,65,68,69,72,73,74,83,84,85,87,88,89,90,91,94,95,97,98,99,105,107,110,111,113,114}, {4,5,7,10,12,13,15,20,22,23,26,27,30,31,32,33,38,39,44,51,58,62,66,67,70,71,81,102,103,112}, {14,41,42,43,46,63,64,75,76,77,78,79,80,82,86,92,93,96,100,101,104,106,108,109}
1: {1,2,3,6,8,9,12,16,19,20,21,22,27,28,30,32,34,35,36,37,38,40,47,48,50,52,53,55,59,61,63,65,66,68,72,75,76,83,87,88,90,91,95,96,97,99,100,101,103,104,105,107,110,113}, {4,5,7,10,11,14,15,24,25,26,29,31,33,39,41,42,43,44,45,46,49,51,56,57,58,60,62,64,67,69,70,71,73,74,77,78,79,80,81,82,84,85,86,89,92,93,94,106,109,111,112,114}, {13,17,18,23,54,98,102,108}
1: {1,2,3,6,8,10,11,17,18,19,20,21,22,27,28,29,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,53,54,55,59,61,63,64,66,67,68,72,74,75,77,79,90,91,95,96,98,99,100,102,103,104,105,106,107,108,109,110,111,112,113,114}, {4,7,12,13,14,16,23,26,30,33,41,56,57,58,62,65,70,71,73,80,81,83,84,85,87,88,89,93,94,97,101}, {5,9,15,24,25,31,32,60,69,76,78,82,86,92}
1: {1,2,3,6,8,10,14,15,16,19,23,24,29,30,32,34,35,36,39,40,42,49,51,52,53,54,61,66,67,68,74,77,87,91,97,103,104,105,107,113}, {13,25,31,33,69,70,71,78,89,98}, {7,22,41,65,73,94,109}
1: {1,2,3,6,8,19,21,26,27,28,29,33,34,35,36,47,52,54,59,65,74,88,97,103,106,108,110,111,112,113}, {10,31,39,42,51,99,101}, {5,9,11,15,20,30,43,44,45,46,50,57,58,61,68,71,72,73,75,77,78,81,83,84,85,89,90,92,98,102,105,107,109}
1: {1,2,3,6,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,30,32,34,35,36,37,41,43,44,45,46,47,48,49,50,52,53,55,57,59,60,61,62,63,64,65,66,67,68,72,76,77,81,83,87,90,91,95,96,98,101,102,103,107,108,110,111,113}, {4,5,12,25,29,31,38,39,40,42,51,54,56,58,69,70,71,73,75,79,80,82,85,88,89,92,94,99,100,105,106,114}, {7,8,28,33,74,78,84,86,93,97,104,109,112}
1: {1,2,3,6,9,10,11,13,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,66,67,68,72,75,76,77,79,81,91,92,95,96,98,99,100,101,102,105,106,107,108,109,110,112,113,114}, {4,5,7,12,14,15,24,33,41,51,53,65,69,70,71,80,82,83,84,85,86,88,89,97,103,104}, {8,25,31,73,74,78,87,90,93,94,111}
1: {1,2,3,6,11,14,17,18,19,23,28,30,34,35,36,37,39,40,46,51,59,60,64,66,68,72,75,91,92,95,98,102,104,113}, {4,7,8,9,12,13,15,33,38,42,45,49,56,58,62,65,69,70,71,73,76,79,80,81,82,83,84,85,97,103,111}, {5,10,16,20,21,31,32,41,44,47,48,52,53,54,55,57,61,63,67,74,77,78,86,93,96,105,106,112,114}
1: {1,2,3,8,9,10,11,13,15,16,17,18,19,20,21,22,23,26,28,29,32,34,35,36,37,40,45,47,48,50,51,52,53,55,60,61,62,63,64,65,66,67,68,72,74,76,78,86,87,90,91,92,95,97,99,100,101,102,103,104,107,108,111,113}, {4,7,12,25,33,38,41,44,49,56,70,71,83,84,85,89,93,94,96,105,106,112,114}, {5,6,14,24,27,30,31,39,42,43,46,54,57,58,59,69,73,75,77,79,80,81,82,88,98,109,110}
1: {1,2,3,8,9,10,11,15,16,17,18,19,24,25,26,27,30,34,35,40,41,42,47,48,49,50,53,54,56,59,61,68,74,75,77,91,94,95,96,101,102,104,107,112}, {12,13,22,23,55,57,81,84,85,100,103,105,106}, {4,5,6,7,14,20,21,28,29,31,32,33,36,37,38,39,43,44,45,46,51,52,58,60,62,63,64,65,66,67,69,70,71,72,73,76,78,79,80,82,83,86,87,88,89,90,92,93,97,98,99,108,109,110,111,113,114}
1: {1,2,3,8,9,10,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,40,45,47,48,50,51,52,55,57,60,61,62,63,64,65,66,67,68,72,73,76,77,80,81,86,87,90,91,92,95,97,98,100,102,103,104,105,106,107}, {5,7,24,25,31,38,41,42,44,49,54,56,58,69,70,71,74,75,78,79,85,88,89,94,99,101,109,110,111,114}, {4,6,11,12,39,43,46,53,59,82,83,84,93,96,108,112,113}
1: {1,2,3,8,9,10,13,14,15,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,39,40,41,50,51,52,53,54,55,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,76,81,82,84,85,86,88,89,90,91,92,95,96,100,103,104,107,109,113}, {4,5,6,12,16,24,31,38,42,44,45,48,56,58,75,77,78,79,83,93,94,97,98,99,110,111,112}, {7,11,17,25,43,46,47,49,73,80,87,101,102,105,106,108,114}
1: {1,2,3,8,9,10,13,16,17,18,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,38,41,43,45,46,48,50,51,52,55,57,59,60,61,63,66,67,76,77,78,83,84,87,90,91,95,96,98,101,103,104,107,109,110,111,112,113}, {5,12,14,15,24,31,39,40,53,54,56,58,64,70,71,75,79,82,85,88,89,92,97,99,100,102,105,114}, {4,6,7,11,19,42,44,47,49,62,65,68,69,72,73,74,80,81,86,93,94,106,108}
1: {1,2,3,8,9,10,15,16,17,18,19,20,21,27,28,29,32,34,35,40,42,43,47,48,49,52,53,54,55,57,58,59,60,63,65,66,68,72,74,75,76,83,86,88,90,91,95,96,99,100,102,103,105,107,108,112}, {4,5,7,12,13,22,23,25,26,30,33,38,46,50,51,56,62,64,69,70,71,79,80,81,85,87,92,98,101,104,114}, {6,11,14,24,31,36,37,39,41,44,45,61,67,73,77,78,82,84,89,93,94,97,106,109,110,111,113}
1: {1,2,3,8,9,10,19,20,21,22,25,26,27,28,30,33,36,37,38,41,43,44,45,47,48,50,52,55,56,59,61,62,63,65,66,68,69,72,75,76,77,90,91,96,98,107,108,109,112,113,114}, {5,12,13,15,16,31,32,70,71,73,88,89,92,97,99,100,106}, {4,6,7,11,14,17,18,23,24,29,34,39,40,42,46,51,53,54,57,58,64,67,74,78,79,80,82,83,84,85,86,87,93,94,95,101,102,103,104,105,110,111}
1: {1,2,3,8,9,11,15,16,19,21,22,23,25,26,27,28,30,32,33,34,35,36,37,38,47,49,50,52,55,56,57,59,60,61,62,63,66,67,68,70,72,76,77,80,81,83,87,90,91,94,96,97,100,109,113}, {4,5,7,10,13,14,18,20,24,29,31,39,40,41,42,51,53,64,65,71,73,75,78,79,82,84,85,99,101,104,105,106,108,114}, {6,12,17,43,44,45,46,48,54,58,69,74,86,88,89,92,93,95,98,102,103,107,110,111,112}
1: {1,2,3,8,9,18,21,22,27,28,29,30,32,34,35,36,45,46,48,49,53,55,58,65,79,83,104,107}, {6,40,54,56,85,112}, {15,19,23,25,37,41,44,64,108}
1: {1,2,3,8,12,13,15,16,17,19,20,21,24,26,28,29,30,32,34,35,36,37,38,40,45,50,51,52,54,55,57,59,61,62,63,66,68,71,72,74,75,76,77,80,86,87,88,89,91,93,95,96,99,100,102,103,107,109,110,113}, {4,5,6,7,9,10,11,14,18,22,23,27,31,33,39,41,42,43,44,46,47,48,49,53,56,58,60,64,67,69,70,73,78,79,81,82,83,84,85,90,92,94,97,98,101,104,105,106,108,111,112,114}, {25,65}
1: {1,2,3,8,16,17,18,19,22,23,28,30,34,35,36,37,39,51,53,58,59,60,62,63,66,67,68,72,73,76,82,88,90,91,97,100,102,106,108,113}, {4,5,6,7,9,10,11,12,13,14,15,20,21,24,25,26,27,29,31,32,33,38,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,61,64,65,69,70,71,74,75,77,78,79,80,81,83,84,85,86,87,89,92,93,94,95,96,98,99,101,103,104,105,107,109,110,111,112,114}, {}
1: {1,2,3,9,10,11,13,14,16,59,61,64,65,67,74}, {4,12,15,22,23,60,62,63,66,68,69,71,72,75,77,78,79,80}, {73,76,81,82}
1: {1,2,3,10,11,13,16,18,19,21,24,29,31,32,34,37,39,40,42,43,44,45,46,47,48,50,52,54,55,56,57,58,59,61,64,67,68,73,74,75,77,91,92,95,98,99,101,102,104,105,106,107,110,113}, {7,8,9,12,14,15,25,26,27,30,33,38,49,62,63,65,70,71,81,83,84,85,88,89,93,94,96,100,112}, {4,5,6,17,20,22,23,28,35,36,41,51,53,60,66,69,72,76,78,79,80,82,86,87,90,97,103,108,109,111,114}
1: {1,2,3,10,14,16,19,20,23,27,28,29,30,32,34,36,37,40,43,44,46,50,52,55,57,58,61,66,67,69,72,76,78,86,103,106,109,113,114}, {6,12,24,31,33,38,42,45,53,56,62,65,68,75,83,89,93,96}, {15,18,25,39,47,49,79,80,81,87,101,105,110,112}
1: {1,2,3,14,15,16,20,40}, 58, 7
1: {1,2,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,40,43,44,47,48,49,50,51,52,53,54,55,56,59,60,61,62,63,65,66,67,70,72,74,75,76,78,79,80,81,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,100,102,103,106,107,108,109,110,111,113,114}, {3,12,31,37,39,41,42,45,46,58,64,69,71,77,82,92,99,101,104,105}, {57,68,73,112}
1: {1,2,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,32,34,35,36,38,40,51,54,59,61,65,71,74,75,76,81,82,84,86,87,88,89,90,91,95,97,99,100,102,103,104,105,107,109}, {3,10,13,24,25,29,30,31,33,37,39,41,42,43,44,45,46,48,49,50,52,53,55,56,57,58,60,64,67,70,72,73,77,78,79,83,85,93,94,96,101,106,111,112,113,114}, {47,62,63,66,68,69,80,92,98,108,110}
1: {1,2,4,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,51,53,59,60,61,62,63,64,65,66,68,70,71,72,74,75,76,80,81,82,83,84,85,86,87,88,89,90,91,92,95,96,97,102,103,104,107,113}, {3,10,11,13,24,31,33,37,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,67,69,73,77,78,79,93,94,98,100,105,106,109,110,111,112,114}, {99,101,108}
1: {1,2,4,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,38,41,51,53,60,61,62,63,65,66,68,71,72,75,76,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,107,108,109,111,113}, {3,10,13,24,31,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,64,67,73,74,77,78,79,92,94,99,101,104,105,106,110,112,114}, {11,29,59,69,70,93}
1: {1,2,4,5,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,49,51,53,60,61,62,63,65,66,68,70,71,72,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,104,107,113}, {3,10,13,24,31,39,40,42,43,44,45,46,48,50,52,54,55,56,57,58,64,67,69,73,74,75,77,78,79,92,93,94,99,101,105,106,109,110,111,112}, {11,25,37,47,59,82,108,114}
1: {1,2,4,5,6,7,8,9,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,53,59,60,61,62,63,65,70,72,76,79,80,81,83,84,85,87,88,89,90,91,97,102,103,107,108,110,111,113}, {3,10,24,25,31,37,39,40,42,44,45,46,48,49,50,54,56,57,64,67,69,77,78,93,94,99,101,105,112,114}, {11,13,17,47,51,52,55,58,66,71,74,75,82,86,92,95,96,98,100,104,106,109}
1: {1,2,4,5,6,7,8,9,12,14,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,41,43,44,47,48,50,52,53,54,56,59,60,61,62,63,65,66,67,68,71,72,73,75,76,77,80,81,82,83,86,87,88,89,90,91,92,93,95,96,97,98,101,103,104,106,107,108,109,110,113}, {3,11,13,31,33,39,40,42,45,49,51,57,58,64,69,70,78,79,84,85,94,99,100,102,105,114}, {10,15,24,29,37,46,55,74,111,112}
1: {1,2,4,5,6,7,8,9,12,15,16,17,18,19,20,21,23,30,32,34,35,36,38,51,61,63,68,71,72,76,77,78,80,81,83,84,87,88,89,90,96,97,98,99,102,103,108,110,113}, {3,13,24,31,33,39,42,44,46,48,50,52,54,56,57,64,67,69,75,79,82,85,92,101,109,111,112,114}, {10,11,14,22,25,26,27,28,29,37,40,41,43,45,47,49,53,55,58,59,60,62,65,66,70,73,74,86,91,93,94,95,100,104,105,106,107}
1: {1,2,4,5,6,7,8,9,12,30,35,61,71,74,76,80,87,88}, {3,10,31,59,73,78,79}, {33,60,67,68,70,75,77,83,89}
1: {1,2,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,41,51,60,61,62,63,65,66,68,71,76,80,81,83,84,85,86,87,88,89,90,91,92,96,97,100,102,103,107,113}, {3,10,12,13,24,31,33,39,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,67,69,73,74,75,77,78,79,82,93,94,95,98,99,101,105,106,110,111,112,114}, {11,37,40,64,70,72,104,108,109}
1: {1,2,4,5,6,7,8,9,14,15,16,17,19,20,21,22,23,26,27,28,30,32,33,34,35,36,41,51,53,59,60,61,62,63,65,66,68,71,76,80,81,84,86,87,88,89,90,92,96,97,98,101,102,103,104,107,108}, {3,10,13,24,31,37,40,42,43,44,45,46,50,54,56,57,58,67,69,73,74,77,78,79,93,94,95,99,105,110,111,112,114}, {11,12,18,25,29,38,39,47,48,49,52,55,64,70,72,75,82,83,85,91,100,106,109,113}
1: {1,2,4,5,6,7,8,15,16,18,19,20,21,22,26}, {3,10,24}, {}
1: {1,2,4,5,6,7,8,28,29,30,32}, {}, {}
1: {1,2,4,5,6,7,9,11,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,34,35,37,38,41,47,50,51,53,56,59,61,63,64,66,67,68,72,75,77,79,83,87,90,91,93,95,96,97,98,101,102,104,106,107,108,110,111,113}, {3,8,10,12,13,25,31,36,39,40,42,43,44,45,46,48,49,55,57,58,65,70,71,76,78,81,82,84,85,86,89,92,100,103,105,112}, {15,33,52,54,60,62,69,73,74,80,88,94,99,109,114}
1: {1,2,4,5,6,7,11,12,14,15,16,17,18,19,20,21,24,26,27,28,29,31,32,33,34,35,36,37,38,40,41,47,51,53,58,59,60,61,62,63,64,66,68,72,73,75,76,77,78,79,80,86,87,88,89,90,91,93,95,96,97,101,102,104,105,106,107,108,109,110,113}, {3,8,9,10,13,22,23,25,30,39,42,43,44,45,46,48,49,50,52,54,55,56,57,65,67,69,70,71,74,81,82,83,84,85,92,94,98,99,100,103,111,112,114}, {}
1: {1,2,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,41,47,49,50,51,52,53,55,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,76,78,80,81,82,85,87,88,89,90,91,93,95,96,98,103,104,106,107,108,109,110,111,112,113}, {3,24,31,33,38,39,40,42,43,44,45,46,48,56,73,75,77,79,92,94,97,99,102,105,114}, {7,74,83,84,86,101}
1: {1,2,4,5,6,8,9,10,11,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,33,34,35,36,37,38,47,48,49,50,51,52,53,54,55,57,59,61,62,63,65,66,68,72,74,76,80,83,84,85,86,87,88,89,90,91,96,97,98,100,103,107,108,113}, {3,7,31,43,44,46,56,60,70,75,78,79,92,94,99,101,104,111,112,114}, {12,13,22,24,39,40,41,42,45,58,64,67,69,71,73,77,81,82,93,95,102,105,106,109,110}
1: {1,2,4,5,6,8,9,11,12,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,33,34,35,36,47,48,50,52,53,54,55,57,58,59,60,61,63,64,65,66,68,74,76,77,85,87,90,95,96,97,100,102,103,107,110,113}, {3,7,10,15,24,31,40,41,42,44,49,56,69,70,71,78,83,94,99,101,104,105,112,114}, {30,32,37,38,39,43,45,46,51,62,67,72,73,75,79,80,81,82,84,86,88,89,91,92,93,98,106,108,109,111}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,38,41,47,48,51,53,59,60,61,62,63,65,66,68,71,72,75,76,79,80,81,82,83,84,85,86,88,89,90,91,93,94,97,98,102,103,106,107,108,109,110,111,113}, {3,10,13,24,31,37,39,40,42,43,44,45,46,49,50,52,54,55,56,57,58,67,70,73,74,77,78,87,92,99,101,104,105,112,114}, {7,29,64,69,95,96,100}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,40,41,47,51,52,53,54,55,58,59,60,61,62,63,65,66,69,70,71,73,76,80,81,82,83,84,85,87,88,89,90,91,92,95,96,97,100,103,107,111,113}, {3,7,10,13,24,25,31,39,42,43,44,45,46,48,49,50,56,57,64,67,68,72,74,75,77,78,79,86,93,94,98,99,101,102,104,105,106,108,109,110,112,114}, {}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,40,41,50,51,53,54,55,58,59,60,61,62,63,64,65,66,68,69,70,71,72,74,75,76,80,81,83,84,85,86,87,88,89,90,91,92,95,96,97,101,102,103,104,105,107,110,111,113}, {3,7,10,13,24,25,31,37,39,42,43,44,45,46,47,48,49,52,56,57,67,77,78,79,93,94,98,99,100,108,109,112,114}, {73,82,106}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,47,48,50,51,52,53,58,59,60,61,62,63,65,66,68,71,72,73,75,76,79,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,99,100,102,103,105,106,107,108,110,111,112,113}, {3,7,10,13,24,25,31,33,41,42,43,44,45,46,49,54,55,56,57,64,67,69,70,74,77,78,92,94,101,114}, {39,93,104,109}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,30,32,33,34,35,36,38,53,54,59,61,62,63,65,66,68,70,71,72,74,76,79,80,81,82,83,84,86,87,88,89,90,91,96,98,100,102,103,105,106,107,108,109,110}, {3,10,13,24,25,29,31,37,39,42,43,44,45,46,50,56,57,64,67,75,77,78,92,93,94,99,101,111,112,114}, {7,28,40,41,47,48,49,51,52,55,58,60,69,73,85,95,97,104,113}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,25,26,27,28,29,30,32,33,34,35,36,38,51,58,59,60,61,62,63,65,66,68,71,74,76,77,79,80,81,83,84,86,87,88,89,91,95,96,97,98,100,102,103,107,108,110,111,113}, {3,10,13,22,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,67,70,78,92,93,94,99,101,104,105,112,114}, {7,23,24,41,47,53,64,69,72,73,75,82,85,90,106,109}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,26,27,28,29,30,32,33,34,35,36,37,38,41,43,51,53,54,59,60,61,62,63,65,66,68,70,71,74,75,76,77,80,81,82,84,86,87,88,89,91,93,95,96,97,102,103,107}, {3,10,13,22,23,24,25,31,39,40,42,44,45,46,47,48,49,50,52,55,56,57,58,64,67,69,72,73,78,79,92,94,99,100,110}, {7,83,85,90,98,101,104,105}
1: {1,2,4,5,6,8,9,11,12,14,15,16,17,18,19,21,22,23,26,27,28,30,32,33,34,35,36,38,41,48,51,53,55,58,59,60,61,63,65,68,71,74,75,80,82,83,84,85,86,87,88,90,91,94,95,96,103,104,107,109,111,113}, {3,7,10,13,20,24,25,29,31,37,39,40,42,43,44,45,46,47,49,50,52,54,56,57,64,66,67,69,70,73,76,77,78,79,81,89,92,93,97,98,99,100,101,102,105,106,108,110,112,114}, {62,72}
1: {1,2,4,5,6,8,9,11,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,40,50,51,52,53,55,59,63,65,66,68,71,76,80,83,85,87,88,90,91,95,96,97,100,101,103,105,107,109}, {3,7,10,24,25,31,39,42,43,44,47,48,49,56,61,64,69,70,74,78,81,92,93,94,98,99,102,108,112,114}, {13,17,41,45,46,54,57,58,60,62,67,72,73,75,77,79,82,84,86,89,104,106,110,111,113}
1: {1,2,4,5,6,8,9,11,12,14,15,16,18,19,20,21,22,26,27,28,30,32,34,35,37,39,47,51,53,59,60,61,62,63,65,66,68,70,71,72,75,76,80,81,83,84,85,86,87,88,89,90,91,92,95,96,97,98,100,102,103,107,110,113}, {3,10,13,24,25,31,33,36,38,43,44,45,46,49,54,55,56,57,58,67,69,73,74,77,78,79,101,105,106,109,111,112,114}, {7,17,23,29,40,41,42,48,50,52,64,82,93,94,99,104,108}
1: {1,2,4,5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,34,35,36,37,38,40,47,48,51,53,54,55,58,59,61,62,63,65,66,68,72,74,76,78,80,83,85,86,87,88,89,91,93,95,96,97,98,99,101,104,107,109,110,111,113}, {7,10,13,25,31,33,39,42,44,45,49,50,52,56,57,64,67,69,70,71,73,75,77,84,94,100,105,106,114}, {3,15,41,43,46,60,79,81,82,90,92,102,103,108,112}
1: {1,2,4,5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,41,51,53,59,61,63,65,66,68,71,72,74,76,80,81,83,84,85,87,88,89,90,91,96,97,100,102,103,106,107,110,113}, {3,13,24,25,37,39,40,42,43,44,45,46,47,49,50,52,54,55,56,57,60,62,64,67,69,70,75,77,78,79,82,92,94,95,99,101,104,105,111,112,114}, {7,10,15,48,58,73,86,93,98,108,109}
1: {1,2,4,5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,27,30,33,34,35,36,38,40,51,52,53,59,63,65,66,68,70,76,81,83,84,85,87,88,89,90,91,93,96,97,102,103,107,108,113}, {3,7,10,13,24,25,31,37,39,42,43,44,45,46,47,48,49,50,54,56,57,58,62,64,67,69,73,74,75,78,79,92,95,99,101,105,112,114}, {15,26,28,29,32,41,55,60,61,71,72,77,80,82,86,94,98,100,104,106,109,110,111}
1: {1,2,4,5,6,8,9,11,12,14,16,17,18,19,21,27,28,29,30,34,35,36,37,38,41,47,49,51,52,53,54,55,58,59,61,63,65,66,68,69,70,72,74,76,79,80,83,85,87,88,90,91,93,95,96,97,98,99,100,102,103,105,106,107,108,111,112,113}, {3,7,10,13,15,22,23,24,31,32,33,43,44,45,64,77,78,82,84,92,101,104}, {20,25,26,39,40,42,46,48,50,56,57,60,62,67,71,73,75,81,86,89,94,109,110,114}
1: {1,2,4,5,6,8,9,11,12,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,40,41,47,53,55,59,60,61,63,65,68,69,72,73,76,79,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,104,105,107,108,109,110,111,113}, {3,7,10,13,14,24,25,31,39,42,43,44,45,46,48,49,50,52,54,56,57,58,64,66,67,70,71,74,75,77,78,82,92,93,94,99,106,112,114}, {37,51,62,101}
1: {1,2,4,5,6,8,9,11,12,15,16,17,19,20,21,22,23,25,26,28,30,32,33,34,35,36,38,41,47,53,58,59,60,61,62,63,65,66,68,71,73,76,80,81,84,85,86,87,88,89,90,91,92,96,97,98,103,104,106,107,113}, {3,10,13,24,31,37,39,40,42,43,44,45,46,48,49,50,54,57,64,67,72,75,77,78,94,99,100,105,108,110,114}, {7,14,18,27,29,51,52,55,56,69,70,74,79,82,83,93,95,101,102,109,111,112}
1: {1,2,4,5,6,8,9,11,13,14,15,16,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,37,38,45,51,52,53,55,59,60,61,63,65,66,72,74,76,77,78,79,80,81,82,83,84,87,88,90,91,96,97,98,100,102,103,104,106,107,108,110,112,113}, {3,7,10,12,24,25,26,29,31,39,40,41,42,43,44,46,47,48,49,56,58,62,64,67,69,70,71,73,75,86,89,92,93,94,95,99,101,105,109,111,114}, {50,54,57,68,85}
1: {1,2,4,5,6,8,9,11,13,14,15,18,21,23,24,27,31,35,38,40,41,45,48,49,50,51,52,56,58,59,60,61,62,63,65,67,69,72,74,75,76,77,80,88,89,90,92,93,94,97,99,102,107,111,112,113,114}, {3,10,12,16,17,19,22,25,26,28,29,30,32,33,36,37,39,42,43,46,47,54,55,57,64,68,70,71,73,78,79,81,82,83,85,87,98,100,101,103,105,106,108,110}, {7,20,34,44,53,66,84,86,91,95,96,104,109}
1: {1,2,4,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,47,51,53,54,55,60,61,62,63,65,66,68,71,72,74,76,83,85,86,88,91,95,96,97,98,100,102,103,106,107,108,113}, {10,12,24,25,31,42,43,48,49,56,67,70,75,77,92,93,94,99,111,112}, {3,7,13,39,40,41,44,45,46,50,52,57,58,59,64,69,73,78,79,80,81,82,84,87,89,90,101,104,105,109,110,114}
1: {1,2,4,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,32,33,34,35,36,38,40,41,47,53,56,59,60,61,62,63,65,66,68,72,73,76,79,80,81,83,84,85,87,88,89,91,93,96,97,100,102,103,108,109,113}, {3,10,13,24,25,31,39,42,44,45,49,50,51,54,57,67,69,70,74,78,92,94,99,101,111,112,114}, {7,12,29,30,37,43,46,48,52,55,58,64,71,75,77,82,86,90,95,98,104,105,106,107,110}
1: {1,2,4,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,28,29,30,32,33,34,35,36,37,38,41,47,53,56,60,61,62,63,65,66,68,70,71,72,76,80,81,83,84,85,86,87,88,90,91,93,95,96,97,102,103,107,109,111,113}, {3,10,12,13,24,25,31,39,40,42,43,44,46,48,49,50,57,58,67,69,73,74,78,92,94,98,99,105,106,108,112,114}, {7,51,52,54,55,64,75,79,82,89,100,101,104,110}
1: {1,2,4,5,6,8,9,11,14,15,16,17,18,19,20,21,23,26,27,28,32,34,36,37,47,51,52,53,55,61,63,71,75,76,77,79,80,81,82,83,84,85,88,89,90,91,95,97,98,100,103,105,107,113}, {3,7,13,25,30,31,39,42,43,44,46,56,57,58,64,67,68,69,70,92,94,99,108,112}, {10,12,22,24,29,33,35,38,40,41,45,48,49,50,54,59,60,62,65,66,72,73,74,78,86,87,93,96,101,102,104,106,109,110,111,114}
1: {1,2,4,5,6,8,9,11,14,15,16,18,19,20,21,22,26,27,28,29,32,33,34,35,36,37,38,40,48,51,53,58,59,61,63,64,65,66,68,72,73,74,75,76,79,80,81,83,85,87,88,89,90,91,95,96,97,98,100,102,103,104,106,107,108,110,111,113,114}, {3,7,10,13,24,31,39,42,43,44,45,46,47,49,50,52,55,56,57,62,67,70,77,78,84,99,112}, {12,25,41,54,60,69,71,82,86,92,93,94,101,109}
1: {1,2,4,5,6,8,9,11,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,33,34,35,36,37,40,41,50,53,55,56,58,59,61,62,63,65,68,75,76,77,79,80,83,84,85,87,90,91,93,94,96,98,102,103,105,106,107,109,110,112,113}, {3,7,10,12,15,24,31,32,42,44,45,48,49,54,64,67,69,70,71,73,78,81,82,86,88,92,95,99,100,101,111}, {13,39,43,46,60,66,72,74,89,97,104,108,114}
1: {1,2,4,5,6,8,9,11,14,28,29,30,34,35,36,37,39,41}, {3,7,10,31,32,33,38,40,42,43,44,45,46}, {12,13}
1: {1,2,4,5,6,8,9,11,16,17,18,19,20,21,22,23,25,26,27,30,32,33,36,37,39,51,59,61,63,65,66,68,70,76,80,81,83,84,85,86,87,88,89,90,91,97,102,103,104,113}, {3,10,13,24,31,38,40,42,43,44,47,48,49,50,52,54,55,56,57,58,64,67,73,74,78,79,96,99,105,106,111,112,114}, {7,12,14,15,28,29,34,35,41,45,46,53,62,69,72,75,77,82,95,98,100,101,107,108,109,110}
1: {1,2,4,5,6,8,9,11,16,18,19,21,22,23,27,28,33,34,35,36,38,47,48,51,54,55,59,60,61,65,71,74,76,77,82,83,88,91,96,97,98,103,104,105,106,107,108,109,110,111,113}, {3,7,10,12,13,14,15,17,20,24,25,26,29,30,31,32,37,39,41,42,43,44,45,46,49,50,52,53,56,57,58,62,64,66,67,68,69,72,75,78,80,85,86,89,92,93,94,99,100,101,102,112,114}, {40,81,84,90,95}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,24,27,28,30,32,34,35,36,40,41,51,53,58,59,60,63,65,66,76,77,80,81,82,83,84,85,86,88,89,90,91,96,97,98,100,102,103,108,110,113}, {3,7,10,25,29,31,44,45,47,48,50,56,67,73,78,93,99,104,109,112,114}, {11,13,26,33,37,38,39,42,43,46,49,52,54,55,57,61,62,64,68,69,70,71,72,74,75,79,87,92,94,95,101,105,106,107,111}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,51,53,60,61,63,65,66,68,71,72,76,80,81,83,84,86,87,88,89,90,91,96,97,102,104,107,108,113}, {3,7,10,11,13,24,31,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,59,67,69,70,73,74,77,78,79,93,94,95,98,99,101,105,106,111,112,114}, {38,41,47,62,64,75,82,85,92,100,103,109,110}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,40,41,51,53,54,59,60,61,62,63,65,66,68,70,72,74,75,76,80,81,83,84,85,86,87,88,89,90,92,96,97,101,102,103,106,107,108,110,111,113}, {3,7,10,11,13,24,31,37,39,42,43,44,45,46,47,48,49,50,52,55,56,57,58,67,69,77,78,79,94,98,99,100,104,109,112,114}, {33,64,71,73,82,91,93,95,105}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,49,51,53,61,62,63,64,65,66,68,70,71,74,75,76,80,81,83,84,85,86,87,88,89,90,91,94,96,97,98,102,103,107,108,113}, {3,10,13,24,31,39,40,43,44,45,46,48,50,52,54,55,56,57,58,67,73,78,79,95,99,101,105,111,112,114}, {7,11,33,37,41,42,47,59,60,69,72,77,82,92,93,100,104,106,109,110}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,50,51,52,53,54,59,61,63,65,68,71,73,76,80,81,83,84,85,86,87,88,89,90,91,95,97,98,100,103,104,106,107,113}, {3,7,10,11,13,24,25,31,37,39,40,42,43,44,45,46,47,48,49,55,56,57,58,60,62,64,66,67,69,70,72,74,75,77,78,79,82,92,93,94,96,99,101,102,105,108,109,110,111,112,114}, {}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,31,32,34,35,36,38,49,53,54,58,59,60,61,63,65,66,68,70,72,73,74,76,80,83,84,85,86,87,88,89,90,91,95,96,97,98,103,104,106,107,108,110,113}, {3,10,11,13,24,25,29,33,37,39,40,41,42,43,44,45,46,47,48,50,52,55,56,57,67,75,77,78,79,82,93,94,99,100,105,109,112,114}, {7,51,62,64,69,71,81,92,101,102,111}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,40,47,49,51,53,54,59,61,62,63,66,68,70,72,73,74,76,80,82,84,85,86,87,88,89,90,91,93,95,96,97,98,100,103,107,108,109,110,113}, {3,7,10,24,31,39,42,43,44,45,46,50,56,58,64,67,77,78,94,99,101,104,106,111,112}, {11,13,25,29,41,48,52,55,57,60,65,69,71,75,79,81,83,92,102,105,114}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,51,53,59,60,61,63,65,66,68,71,76,77,79,80,81,83,84,85,87,88,89,90,91,96,97,100,102,103,106,108,110,113}, {3,10,13,24,25,29,31,39,40,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,64,67,69,72,73,74,75,78,92,93,94,95,99,101,104,105,111,112,114}, {7,11,62,70,82,86,98,107,109}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,47,51,53,59,60,61,62,63,65,66,68,70,71,72,74,75,76,80,81,83,84,85,86,87,88,89,90,91,96,97,98,102,103,104,106,107,113}, {3,10,11,13,24,25,31,37,39,40,42,43,44,45,46,48,50,52,54,55,56,57,58,67,69,77,78,79,93,94,99,100,101,105,108,110,111,112,114}, {7,29,41,49,64,73,82,92,95,109}
1: {1,2,4,5,6,8,9,12,14,15,16,17,18,19,21,26,27,28,30,33,34,35,36,38,47,51,53,61,63,65,68,71,75,76,80,81,83,84,85,87,88,89,90,97,102,103,107,113}, {3,10,13,24,31,39,40,42,43,44,45,46,48,50,52,54,56,57,58,67,69,70,73,77,78,79,94,99,101,105,108,112,114}, {7,11,20,22,23,25,29,32,37,41,49,55,59,60,62,64,66,72,74,82,86,91,92,93,95,96,98,100,104,106,109,110,111}
1: {1,2,4,5,6,8,9,12,14,15,16,17,19,21,22,26,27,28,29,32,33,34,35,36,38,41,51,53,54,55,59,61,63,64,65,66,68,71,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,96,97,100,102,103,107,108,109,110,111,113}, {3,10,23,24,25,31,37,39,40,42,43,44,45,46,48,49,50,52,56,58,60,67,69,72,73,78,92,93,94,95,99,101,104,105,112,114}, {7,11,13,18,20,30,47,57,62,70,98,106}
1: {1,2,4,5,6,8,9,12,14,15,16,17,19,21,23,26,27,28,29,30,32,34,35,36,37,38,41,46,47,49,51,53,59,61,62,63,65,68,71,72,76,80,82,83,84,85,86,87,88,89,90,91,92,95,96,97,98,99,100,103,104,107,108,109,110,111,113}, {3,7,10,13,20,24,25,31,33,39,42,43,44,45,50,54,55,56,57,58,64,66,69,70,73,74,75,77,78,79,93,94,101,102,105,106,112,114}, {11,40,48,60,81}
1: {1,2,4,5,6,8,9,12,14,15,16,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,51,53,59,60,62,63,65,66,68,70,71,72,75,76,80,81,83,84,85,86,87,88,89,90,91,95,97,100,102,103,104,107,110,113}, {3,10,13,17,24,29,31,37,39,40,41,43,44,45,46,48,49,50,52,54,55,56,57,58,67,69,74,77,78,79,82,93,94,96,99,101,105,108,111,112,114}, {7,11,33,42,47,61,64,73,92,98,106,109}
1: {1,2,4,5,6,8,9,12,14,15,16,18,19,20,21,22,23,28,32,33,34,35,36,38,40,47,51,53,55,58,59,60,61,62,63,65,66,68,69,70,72,74,76,79,80,84,86,87,88,89,90,91,97,98,100,102,103,105,107,113}, {3,10,11,13,25,31,39,42,43,44,45,48,49,50,52,56,64,67,78,81,94,95,99,101,106,110,112,114}, {7,17,24,26,27,29,30,37,41,46,54,57,71,73,75,77,82,83,85,92,93,96,104,108,109,111}
1: {1,2,4,5,6,8,9,12,14,15,17,18,19,20,21,27,28,29,30,32,33,34,35,36,38,41,47,51,53,55,57,59,61,62,63,64,65,66,68,71,72,76,81,86,87,88,89,90,91,92,96,97,101,103,104,106,108,109,110,113}, {3,10,11,13,22,24,25,31,37,39,42,43,44,46,48,49,50,52,54,67,75,77,78,79,82,94,98,99,100,102,105,111,112,114}, {7,23,26,40,45,56,58,60,70,73,74,80,84,85,93,95,107}
1: {1,2,4,5,6,8,9,12,14,15,17,18,19,20,22,23,25,26,27,28,29,30,32,34,35,36,41,50,51,52,53,61,62,63,64,65,66,68,71,74,76,80,81,85,86,87,90,92,94,95,96,97,98,100,102,103,104,107,110,113}, {3,7,10,13,16,24,31,33,39,40,42,43,44,45,46,48,54,55,56,57,58,67,70,73,75,77,78,79,82,83,84,99,105,108,109,111,112,114}, {11,21,37,38,47,49,59,60,69,72,88,89,91,93,101,106}
1: {1,2,4,5,6,8,9,12,14,16,17,18,19,20,21,23,26,27,28,29,32,35,36,37,40,47,53,54,55,59,62,63,64,65,72,74,77,79,80,81,83,85,87,88,91,93,95,96,97,98,100,103,106,107,108,109,110,111,113}, {10,11,13,22,25,31,38,39,42,43,44,46,51,56,58,66,67,68,69,70,75,76,78,82,90,104,105,114}, {7,15,24,33,41,48,49,50,52,57,71,73,84,86,89,92,99,101,102,112}
1: {1,2,4,5,6,8,9,12,16,18,19,20,21,22,23,27,28,29,32,34,35,36,47,48,50,52,53,54,55,56,59,60,61,63,65,66,68,72,75,76,81,83,85,86,88,89,90,91,96,98,99,100,102,103,105,107,108,111,112,113}, {3,7,10,11,13,14,24,25,26,31,33,38,39,40,41,42,43,44,46,49,51,57,64,67,69,70,74,77,78,79,82,87,92,94,97,101,104,106,109,114}, {15,17,30,37,45,58,62,71,73,80,84,93,95,110}
1: {1,2,4,5,6,8,9,13,14,16,17,18,19,20,21,22,23,24,26,27,28,29,30,32,33,34,35,36,37,39,40,45,47,48,49,50,52,53,54,55,56,57,59,61,63,64,66,68,69,71,72,74,80,81,82,83,84,88,89,90,95,97,98,102,105,108,109,110,111,113,114}, {3,7,10,11,12,15,25,31,38,41,42,43,44,46,51,58,60,62,67,73,75,77,78,79,87,92,93,96,99,101,103,104,106,112}, 94
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,41,51,53,58,59,60,61,63,65,68,70,71,72,74,77,81,82,83,84,85,86,88,91,92,93,95,96,97,98,100,101,102,103,106,108,110,111,112,113}, {3,10,11,12,13,24,31,39,40,42,44,46,48,49,50,52,54,55,56,57,64,67,69,75,78,79,99,105}, {7,37,43,45,47,62,66,73,76,80,87,89,90,94,104,107,109,114}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,40,41,51,53,70,76,91,93,95,96,97,98,103,107,108,111,113}, {3,7,10,13,24,25,31,42,43,44,45,46,47,48,50,52,55,56,57,58,92,94,110,112,114}, {11,12,38,39,49,54,67,89,99,100,101,102,104,105,106,109}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,47,51,53,54,55,59,60,61,62,63,64,65,66,68,70,72,74,76,80,81,82,83,84,85,86,88,90,91,95,96,97,102,103,107,108,113}, {3,7,10,11,12,13,24,31,39,42,43,44,50,58,69,75,78,79,94,111,112,114}, {25,37,40,45,46,48,49,52,56,57,67,71,73,77,87,89,92,93,98,99,100,101,104,105,106,109,110}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,37,38,41,51,53,60,61,62,63,65,66,68,71,76,80,81,84,85,86,87,88,89,90,91,93,96,97,98,102,103,107,108,113}, {3,10,11,13,24,25,31,39,40,42,43,44,46,48,49,50,52,54,56,57,64,67,69,74,75,77,78,79,92,94,99,105,106,109,111,112,114}, {7,12,29,33,45,47,55,58,59,70,72,73,82,83,95,100,101,104,110}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,47,51,52,53,54,55,57,59,60,61,63,65,66,68,72,74,76,80,81,83,84,86,87,88,89,90,91,95,97,98,100,102,103,106,107,108,109,111,113}, {3,7,10,11,12,13,24,25,26,31,39,40,41,42,43,44,45,46,48,49,50,56,58,62,64,67,69,70,71,73,75,77,78,79,82,85,92,93,94,96,99,101,104,105,110,112,114}, {}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,23,26,27,28,30,32,33,34,35,36,37,38,47,48,49,53,59,60,61,62,63,65,66,68,71,76,80,81,82,83,84,85,86,87,88,89,90,91,96,97,102,103,106,107,108,110,113}, {7,10,13,24,25,31,39,40,41,42,43,44,46,54,56,57,58,67,69,70,73,74,77,78,92,94,99,101,104,105,112,114}, {3,11,12,22,29,45,50,51,52,55,64,72,75,79,93,95,98,100,109,111}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,21,26,27,28,30,33,34,35,37,38,40,47,49,50,51,53,54,59,60,64,74,76,77,80,81,83,84,86,87,88,89,91,95,96,97,100,104,107,108,109,111,113}, {3,7,10,11,12,13,22,23,24,25,29,31,32,36,39,41,42,43,44,45,46,48,52,55,56,57,58,61,63,65,67,68,69,70,71,72,73,75,78,79,82,85,90,92,93,94,98,99,101,102,103,105,106,110,112,114}, {62,66}
1: {1,2,4,5,6,8,9,14,15,16,17,18,19,20,22,23,26,27,28,29,30,32,34,35,36,38,47,51,53,59,60,61,62,63,64,65,66,68,70,75,76,80,81,83,84,85,87,88,89,90,91,96,97,98,102,103,106,107,108,113}, {3,10,11,13,24,37,39,44,45,46,55,56,57,69,73,74,95,101,114}, {7,12,21,25,31,33,40,41,42,43,48,49,50,52,54,58,67,71,72,77,78,79,82,86,92,93,94,99,100,104,105,109,110,111,112}
1: {1,2,4,5,6,8,9,14,16,18,19,20,21,22,23,27,28,29,32,34,35,36,41,47,51,53,60,61,62,63,65,66,68,69,71,72,75,76,77,79,80,83,84,87,88,90,91,93,97,102,103,107,109,110}, {7,12,26,42,43,44,49,70,92,111,112}, {3,10,11,13,15,17,24,25,30,31,33,37,38,39,40,45,46,48,50,52,54,55,56,57,58,59,64,67,73,74,78,81,82,85,86,89,94,95,96,98,99,100,101,104,105,106,108,113,114}
1: {1,2,4,5,6,8,9,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,40,41,51,52,55,60,62,63,65,66,68,71,72,74,76,80,81,82,83,84,85,86,87,88,89,90,91,96,97,98,102,103,107,109,110,111,113}, {3,10,13,24,31,39,42,43,44,45,54,56,57,58,64,67,75,78,79,93,94,99,101,104,112}, {7,11,12,14,25,29,37,46,47,48,49,50,53,59,61,69,70,73,77,92,95,100,105,106,108,114}
1: {1,2,4,5,6,8,9,15,16,18,19,26,27,33,35,36,47,53}, {3,10,13,25,42,44}, {7,11,12,14,17,20,21,22,23,24,28,29,30,31,32,34,37,38,39,40,41,43,45,46,48,49,51,52,54,56}
1: {1,2,4,5,6,8,9,16,17,19,21,22,23,26,28,30,32,34,35,36,38,41,51,53,59,61,62,63,66,68,71,76,80,87,88,89,90,91,92,93,95,96,97,98,101,103,104,107,108,109,113}, {3,10,12,13,24,25,31,37,39,40,42,43,44,45,46,47,48,50,52,55,56,57,69,73,75,78,79,99,100,105,111,112,114}, {7,11,14,15,18,20,27,29,33,49,54,58,60,64,65,67,70,72,74,77,81,82,83,84,85,86,94,102,106,110}
1: {1,2,4,5,6,8,12,14,15,16,18,19,20,21,23,25,26,27,28,30,31,32,35,36,38,40,42,47,48,49,51,52,53,54,56,59,60,61,63,65,66,68,71,72,74,75,77,78,80,83,84,85,86,88,89,90,91,95,96,97,98,102,103,105,107,108,109,110,111,113}, {3,9,10,11,13,22,24,29,33,39,41,43,44,45,46,50,55,57,58,62,64,67,69,70,73,81,87,92,99,101,104,106}, {7,17,34,37,76,79,82,93,94,100,112,114}
1: {1,2,4,5,6,8,12,15,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,38,41,51,53,54,59,60,61,62,63,64,65,66,68,72,74,76,83,86,87,88,89,90,91,92,95,97,101,103,104,107,110,113}, {3,10,24,25,31,44,45,48,49,50,52,56,57,67,69,70,77,79,84,93,94,99,109,111,112,114}, {7,9,11,13,14,27,33,37,39,40,42,43,46,47,55,58,71,73,75,78,80,81,82,85,96,98,100,102,105,106,108}
1: {1,2,4,5,6,8,15,16,17,18,19,21,23,26,27,28,29,33,34,35,36,37,40,51,54,55,57,59,63,64,65,66,69,71,74,75,76,79,80,83,84,85,91,95,96,97,98,100,102,103,105,106,107,113}, {3,7,10,12,13,20,22,24,25,31,38,39,42,44,45,49,50,53,56,58,62,67,70,77,78,81,82,86,89,92,93,99,104,109,114}, {9,11,14,30,32,41,43,46,47,48,52,60,61,68,72,73,87,88,90,94,101,108,110,111,112}
1: {1,2,4,5,6,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,34,35,36,38,41,50,51,52,55,57,61,62,63,65,66,68,70,71,76,80,81,84,85,86,87,88,90,91,96,97,98,100,102,103,104,107,109,110}, {3,10,13,25,33,37,39,42,43,44,45,46,47,48,49,53,54,56,67,75,78,82,93,94,95,108,112,113,114}, {7,8,24,31,32,40,58,59,60,64,69,72,73,74,77,79,83,89,92,99,101,105,106,111}
1: {1,2,4,5,6,9,11,12,15,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,38,41,43,50,51,52,53,57,59,61,62,63,64,65,66,68,72,74,76,83,86,87,90,91,104,106,107,109,113}, {3,7,10,13,27,31,33,42,44,45,46,48,49,56,58,67,69,70,71,77,79,82,93,94,100,102,103,108,110,111,112,114}, {8,14,24,25,37,39,40,47,54,55,60,73,75,78,80,81,84,85,88,89,92,95,96,97,98,99,101,105}
1: {1,2,4,5,6,9,17,19,21,22,27,28,32,33,34,36,37,38,40,47,51,53,55,63,65,66,73,76,81,83,85,87,88,89,91,94,96,97,98,100,102,105,108,113}, {3,8,10,11,12,13,14,15,24,25,29,30,31,39,41,42,44,45,46,48,49,50,54,56,57,58,62,64,67,68,70,75,78,79,82,92,93,99,101,111,112}, {7,16,18,20,23,26,35,43,52,59,60,61,69,71,72,74,77,80,84,86,90,95,103,104,106,107,109,110,114}
1: {1,2,4,5,6,10,11,15,16,17,18,19,20,22,29,32,34,35,36,37,40,45,47,48,50,51,59,61,62,64,66,67,68,73,76,77,78,81,87,90,91,92,95,97,98,99,100,102,103,104,107,109,110,111,112,113}, {3,7,12,14,24,25,26,27,28,30,31,33,38,39,41,42,43,44,46,49,53,54,55,56,57,58,63,65,70,71,72,79,80,82,83,84,85,88,89,94,96,101,106,108,114}, {8,9,13,21,23,52,60,69,74,75,86,93,105}
1: {1,2,4,5,6,11,12,59,61,91,95,96,97,98,107,109}, {3,13,68,70}, {7,8,9,10,60}
1: {1,2,4,5,6,14,15,16,17,18,19,21,23,25,26,27,28,29,30,32,35,36,37,38,41,55,56,58,63,64,67,71,75,76,77,79,80,88,91,93,95,96,101,104,106,107,109,112,113}, {3,8,9,10,13,40,42,43,44,45,46,49,50,51,62,65,69,70,81,84,85,86,94,98,110,114}, {7,11,12,20,22,24,31,33,34,39,47,48,52,53,54,57,59,60,61,66,68,72,73,74,78,82,83,87,89,90,92,97,99,100,102,103,105,108,111}
1: {1,2,4,5,7,8,9,11,12,14,15,16,18,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,38,40,47,49,51,53,54,55,60,61,62,63,66,68,70,71,72,74,76,79,80,81,83,84,85,86,87,88,89,90,91,96,97,98,102,103,106,107,109,110,111,113}, {3,10,13,17,31,37,39,41,42,43,44,45,46,48,50,52,56,57,58,64,67,73,75,78,82,94,95,108}, {6,19,59,65,69,77,92,93,99,100,101,104,105,112,114}
1: {1,2,4,5,7,8,9,12,14,20,21,27,29,34,37,39,40,50,51,54,58,59,61,62,63,66,67,68,69,72,75,77,79,81,83,85,88,90,91,92,95,101,102,103,104,105,107,108,110,113}, {3,6,10,11,13,15,16,18,22,23,24,25,26,28,30,31,32,33,36,41,42,43,44,45,46,48,49,55,56,57,64,65,70,71,74,78,80,82,84,87,89,93,97,98,99,100,109,111,112,114}, {17,19,35,38,47,52,53,60,73,76,86,94,96,106}
1: {1,2,4,5,7,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,30,33,34,35,36,38,49,53,58,59,60,61,63,65,66,68,71,72,76,79,80,81,83,84,85,86,87,88,91,95,96,97,98,100,102,103,104,106,107,109,111,113}, {3,10,11,12,13,24,25,29,31,37,39,40,42,43,44,45,46,47,48,50,54,55,57,64,67,73,75,78,92,93,94,99,101,105,110,112}, {6,32,41,51,52,56,62,69,70,74,77,82,89,90,108,114}
1: {1,2,4,5,8,9,10,11,14,15,16,17,18,19,20,22,25,26,27,28,30,32,33,34,35,36,37,38,40,47,48,49,50,51,52,54,55,56,59,61,63,65,68,72,75,76,77,79,81,82,83,84,85,87,88,89,91,95,96,97,100,102,103,105,106,107,108,109,110,111,113}, {12,13,31,39,42,44,57,64,70,71,92,99,101,112,114}, {3,6,7,21,23,24,29,41,43,45,46,53,58,60,62,66,67,69,73,74,78,80,86,90,93,94,98,104}
1: {1,2,4,5,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,59,60,61,62,63,65,66,68,70,76,80,81,83,84,85,86,87,88,89,90,91,93,96,97,102,103,106,111,113}, {3,10,13,24,25,31,39,40,42,43,44,45,46,49,50,52,54,56,57,58,64,67,75,77,78,79,94,98,99,105,108,109,112,114}, {6,7,37,47,48,55,69,71,72,73,74,82,92,95,100,101,104,107,110}
1: {1,2,4,5,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,50,51,52,53,59,60,61,62,63,65,66,68,71,72,74,76,80,81,82,83,84,86,87,88,90,91,92,95,96,97,98,99,100,102,103,104,106,107,108,113}, {3,6,7,10,13,25,31,33,37,39,40,42,43,44,45,46,47,49,54,55,56,57,58,67,69,70,75,77,78,85,93,94,101,105,109,111,112,114}, {24,48,64,73,79,89,110}
1: {1,2,4,5,8,9,11,12,14,15,16,17,18,19,21,23,25,26,27,28,30,33,34,35,38,41,47,48,51,53,59,61,63,65,68,71,76,77,80,83,84,85,87,88,89,90,91,96,97,100,107,108,113}, {3,10,13,24,31,37,39,43,44,45,46,50,55,56,57,58,64,67,74,78,92,94,99,102,106,114}, {6,7,20,22,29,32,36,40,42,49,52,54,60,62,66,69,70,72,73,75,79,81,82,86,93,95,98,101,103,104,105,109,110,111,112}
1: {1,2,4,5,8,9,11,12,14,15,16,18,19,20,21,29,33,34,35,36,37,38,40,41,47,50,51,52,53,54,59,61,65,72,73,75,77,78,80,83,84,85,88,90,91,93,95,96,98,102,103,104,105,107,110,111,113}, {3,6,7,10,13,17,22,23,24,25,26,27,28,30,31,32,39,42,43,44,45,46,48,49,55,56,57,58,62,64,66,68,69,70,71,76,79,81,82,87,89,92,94,97,99,100,101,106,108,109,112,114}, {60,63,67,74,86}
1: {1,2,4,5,8,9,11,12,14,15,16,18,19,21,22,23,28,29,33,35,36,38,41,47,53,59,60,63,65,66,68,74,75,76,79,80,83,84,88,89,90,91,93,94,97,98,102,103,108}, {3,6,7,10,17,24,25,27,31,34,37,39,40,42,43,44,45,46,48,49,50,51,56,58,67,69,70,71,77,78,82,92,95,96,99,101,106,109,111,112,113,114}, {13,20,26,30,32,52,54,55,57,61,62,64,72,73,81,85,86,87,100,104,105,107,110}
1: {1,2,4,5,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,51,58,60,61,62,63,64,65,66,68,69,70,71,72,73,74,76,80,81,82,83,84,85,86,87,88,89,90,91,92,95,96,97,98,102,103,107,113}, {3,10,13,24,25,31,39,42,43,44,45,46,47,48,49,50,56,57,67,75,77,78,79,93,94,108,111,112,114}, {6,7,12,38,40,41,52,53,54,55,59,99,100,101,104,105,106,109,110}
1: {1,2,4,5,8,9,11,14,16,17,18,19,21,22,27,28,34,35,36,38,47,48,53,54,55,59,60,61,63,65,68,71,72,76,78,83,87,90,91,95,96,97,98,100,102,108,109,113}, {3,7,10,12,13,15,20,24,25,26,31,39,40,41,42,43,44,46,49,56,57,62,64,67,69,70,73,77,79,81,86,89,92,93,94,103,104,111,112}, {6,23,29,30,32,33,37,45,50,51,52,58,66,74,75,80,82,84,85,88,99,101,105,106,107,110,114}
1: {1,2,4,5,8,9,11,14,16,17,18,19,22,23,28,29,33,34,35,36,37,38,53,55,58,59,60,61,63,65,66,68,69,76,77,78,83,84,86,88,90,91,93,94,95,96,97,98,100,102,103,106,107,108,111,112,113}, {3,10,12,13,15,24,25,26,30,32,39,40,42,43,44,47,48,49,51,57,64,67,75,79,81,82,92,99,101,104,105,114}, {6,7,20,21,27,31,41,45,46,50,52,54,56,62,70,71,72,73,74,80,85,87,89,109,110}
1: {1,2,4,5,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,47,49,51,52,53,55,59,60,61,63,65,66,68,71,74,75,76,77,79,80,81,83,84,85,86,87,89,90,91,95,96,97,98,101,102,103,104,107,108,110,111,112,113}, {3,10,13,24,31,37,39,42,43,44,45,46,48,54,56,57,58,67,70,73,78,82,88,93,94,99,106,114}, {6,7,11,40,41,50,62,64,69,72,92,100,105,109}
1: {1,2,4,5,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,38,41,47,51,53,59,60,61,62,63,65,66,68,70,71,76,80,81,83,85,86,87,88,90,91,92,93,96,97,98,100,102,103,108,110,111,113}, {3,6,10,13,24,31,39,40,42,44,45,46,48,49,50,52,54,55,56,57,58,64,67,69,74,75,77,78,79,89,94,99,105}, {7,11,29,36,37,43,72,73,82,84,95,101,104,106,107,109,112,114}
1: {1,2,4,5,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,49,51,52,53,54,55,59,61,62,63,64,65,66,68,70,71,72,76,80,82,83,86,87,88,89,90,91,97,103,107,108,109,111,113}, {3,7,24,25,31,37,39,40,46,50,56,60,67,69,78,79,81,93,94,96,99,112,114}, {6,10,11,13,41,42,43,44,45,47,48,57,58,73,74,75,77,84,85,92,95,98,100,101,102,104,105,106,110}
1: {1,2,4,5,8,9,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,41,51,55,59,60,61,62,63,64,65,66,68,72,74,76,80,81,82,83,84,85,87,88,89,90,91,96,97,98,103,107,113}, {3,7,10,13,24,31,38,42,43,44,45,46,47,49,50,52,54,56,57,58,67,70,75,77,78,79,92,93,94,95,99,105,108,110,111,112,114}, {6,11,17,25,39,40,48,53,69,71,73,86,100,101,102,104,106,109}
1: {1,2,4,5,8,9,12,14,15,16,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,41,47,51,53,60,61,63,65,68,70,71,76,80,81,83,84,85,87,88,89,90,91,97,103,104,113}, {3,6,10,13,24,25,31,37,39,42,43,44,45,46,48,49,50,52,54,55,56,57,58,67,78,79,94,98,99,108,109,112,114}, {7,11,17,29,40,59,62,64,66,69,72,73,74,75,77,82,86,92,93,95,96,100,101,102,105,106,107,110,111}
1: {1,2,4,5,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,47,51,53,59,60,61,62,63,65,66,68,70,71,76,80,81,83,84,85,86,87,88,89,90,91,96,97,98,100,102,103,106,107,113}, {3,10,13,24,25,31,39,40,42,43,44,45,46,48,49,50,52,54,56,57,58,67,73,74,75,77,78,79,82,92,94,95,99,101,104,105,109,111,112,114}, {6,7,11,12,41,55,64,69,72,93,108,110}
1: {1,2,4,5,8,9,15,16,17,19,23,26,27,28,34,36,40,48,50,52,54,55,59,61,63,65,66,68,71,74,75,76,77,80,81,83,85,87,88,91,97,100,104,107,111,112,113}, {3,6,10,11,12,14,18,22,31,39,42,44,45,49,70,82,92,93,96,99,106}, {7,13,20,21,24,25,29,30,32,33,35,37,38,41,43,46,47,51,53,56,57,58,60,62,64,67,69,72,73,78,79,84,86,89,90,94,95,98,101,102,103,105,108,109,110,114}
1: {1,2,4,5,8,9,15,16,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,39,40,41,47,48,52,54,55,56,59,60,61,62,65,66,68,69,72,76,79,80,81,82,83,87,88,91,96,97,98,99,100,102,105,107,108,113,114}, {10,12,13,31,42,46,49,57,63,67,70,71,78,93,94}, {3,6,7,11,14,17,24,25,29,43,44,45,50,51,53,58,64,73,74,75,77,84,85,86,89,90,92,95,101,103,104,106,109,110,111,112}
1: {1,2,4,5,8,9,19,20}, {3,7,12,15}, {10,11,13,14}
1: {1,2,4,5,8,16,18,19,20,21,22,27,30,35,36,40,47,50,51,52,54,55,58,59,61,62,63,68,69,71,74,75,77,79,81,82,88,90,91,92,94,95,96,99,100,102,103,104,105,106,107,108,109,110,111,112}, {3,6,7,10,12,13,14,23,25,26,29,31,32,33,37,41,42,43,44,45,46,48,49,53,56,57,64,67,70,72,73,76,85,87,89,97,98,113,114}, {9,11,15,17,24,28,34,38,39,60,65,66,78,80,83,84,86,93,101}
1: {1,2,4,5,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,59,60,61,62,63,64,65,66,68,74,75,76,80,82,84,86,88,89,90,92,93,95,97,101,102,103,104,107,109}, {3,10,13,25,31,37,39,42,43,44,45,46,47,48,49,54,56,57,58,67,70,71,78,79,94,98,99,100,106,108,112,114}, {6,7,8,24,40,50,52,55,69,72,73,77,81,83,85,87,91,96,105,110,111,113}
1: {1,2,4,5,9,16,17,18,19,20,21,24,27,29,32,34,35,37,40,43,44,51,52,54,59,60,64,66,67,68,72,74,76,86,87,88,91,95,96,97,103,105,107,111,113,114}, {3,7,10,12,13,14,15,22,25,26,31,33,39,41,42,46,47,48,49,53,56,58,62,63,69,70,71,75,77,79,80,82,83,84,92,99,100,108,110}, {6,11,45,61,73,85,90,101,102,106}
1: {1,2,4,5,28,35,36,63,65,68,91,96,97,113}, {3,42,43,44,49,62,67,70,92}, {6,7,31,37,40,41,46,52,53,59,60,61,64,66,69,71,72,73,74,93,94,95,98,99,100,101,102,104,108,110,111,112,114}
1: {1,2,4,6,7,8,9,10,11,12,13,15,16,17,19,20,21,27,28,30,32,33,34,35,36,37,38,40,41,42,43,44,45,47,48,50,51,52,53,54,56,57,58,59,61,62,64,65,66,68,72,74,75,77,80,81,82,83,84,86,87,90,91,92,95,97,98,101,102,103,105,106,107,110,113}, {3,5,14,18,22,23,24,25,26,29,31,39,46,49,55,63,67,69,70,71,73,76,78,79,85,88,89,93,94,96,99,100,104,108,109,111,112,114}, 60
1: {1,2,4,6,7,8,9,11,12,14,15,17,18,19,20,21,22,25,26,27,28,30,32,33,35,36,38,41,51,53,59,61,63,65,66,68,70,71,75,76,77,78,80,81,83,84,85,86,87,88,89,91,92,96,98,103,104,106,108,110,111,112,113}, {3,10,13,23,24,29,31,37,39,40,42,43,44,45,47,49,50,52,54,55,56,57,58,64,67,69,72,74,79,93,95,99,100,102,105,109,114}, {5,16,34,46,48,60,62,73,82,90,94,97,101,107}
1: {1,2,4,6,7,8,9,11,14,15,16,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,38,41,44,47,48,49,50,52,53,54,55,58,59,61,62,63,64,65,66,68,72,75,76,78,80,81,83,84,85,86,88,89,90,91,95,96,97,98,100,102,103,107,108,110,112}, {3,5,10,12,24,25,26,29,37,39,40,42,51,56,57,60,67,69,70,71,79,82,87,92,94,99,101,106,111,113}, {13,31,43,45,46,73,74,77,93,104,105,109,114}
1: {1,2,4,6,8,9,10,11,15,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,40,46,47,48,51,54,55,59,60,61,62,63,64,65,68,71,72,74,76,80,81,84,85,86,88,90,91,95,97,100,103,105,106,107,108,109,113}, {3,5,12,24,25,31,42,43,44,45,49,50,56,57,70,73,75,77,78,79,83,93,94,98,99,101,110,111,112,114}, {7,13,38,39,41,52,58,66,67,69,82,89,92,96,102,104}
1: {1,2,4,6,8,9,10,14,16,17,18,19,21,22,23,27,28,29,30,32,34,35,36,39,40,47,49,50,51,52,54,58,59,60,61,64,65,66,68,72,77,78,81,82,83,87,88,91,95,96,101,102,103,107,112,113,114}, {3,7,12,13,24,26,31,33,41,42,43,44,46,48,53,56,57,63,67,69,70,71,73,79,80,84,92,98,108,109,110,111}, {5,11,15,20,25,37,38,45,55,62,74,75,76,85,86,89,90,93,94,97,99,100,104,105,106}
1: {1,2,4,6,8,9,11,12,13,14,15,16,17,18,19,20,21,26,27,28,29,30,34,35,36,38,39,40,41,42,45,47,48,50,51,52,53,54,55,57,60,61,62,63,64,65,66,67,68,72,74,75,76,77,79,81,82,83,86,87,90,91,92,95,96,97,98,101,102,103,104,105,107,109,110,112,113}, {3,10,22,23,25,31,33,37,43,44,49,59,69,70,71,73,78,84,85,89,93,94,100,108,111,114}, {5,7,24,32,46,56,58,80,88,99,106}
1: {1,2,4,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,47,51,53,56,59,61,62,63,65,66,68,69,71,72,75,76,80,83,86,87,88,89,91,92,95,96,97,98,100,102,103,106,107,108,110}, {3,10,13,24,25,31,33,37,39,41,42,43,44,45,46,48,49,54,57,67,70,77,79,82,93,94,99,101,105,109,111,112}, {5,7,40,50,52,55,58,60,64,73,74,78,81,84,85,90,104,113,114}
1: {1,2,4,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,43,51,53,59,60,62,63,65,66,68,70,71,72,74,76,80,81,83,84,85,86,87,88,89,90,91,95,97,98,102,103,107,108,113}, {3,10,25,31,37,39,40,42,44,45,46,48,49,50,54,56,57,67,78,79,82,93,94,99,105,112,114}, {5,7,12,13,24,41,47,52,55,58,61,64,69,73,75,77,92,96,100,101,104,106,109,110,111}
1: {1,2,4,6,8,9,11,16,17,18,19,20,21,22,23,26,27,28,32,34,35,36,37,51,53,58,59,60,61,62,63,65,66,68,71,79,81,83,84,85,86,87,90,91,96,97,98,100,102,103,104,106,107,108,113}, {3,5,7,10,12,13,15,24,25,29,31,33,40,42,43,44,46,47,48,49,50,54,56,57,64,67,70,73,76,78,82,92,94,99,101,105,109,111,112,114}, {14,30,38,39,41,45,52,55,69,72,74,75,77,80,88,89,93,95,110}
1: {1,2,4,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,40,47,48,51,53,59,61,62,63,65,66,68,70,71,76,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,105,107,113}, {3,5,7,10,11,13,24,25,29,31,38,39,41,42,43,44,45,46,49,50,52,54,55,56,57,58,60,64,67,69,72,73,74,75,77,78,79,92,93,94,99,101,104,106,108,109,110,111,112,114}, {}
1: {1,2,4,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,51,53,60,61,63,65,66,68,71,76,80,81,83,84,85,86,87,88,89,90,91,97,103,107,110,111,113}, {3,10,11,13,24,25,40,42,43,46,48,49,50,52,55,56,57,58,67,73,77,78,94,98,99,108,112,114}, {5,7,29,31,36,37,38,39,41,45,54,62,64,69,70,72,74,75,79,82,92,93,95,96,101,102,104,105,106,109}
1: {1,2,4,6,8,9,12,15,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,38,41,42,46,47,48,50,51,52,53,54,55,59,60,61,63,64,65,66,68,72,73,74,75,76,80,81,82,83,84,85,86,87,88,90,91,94,95,97,98,99,100,102,103,104,107,108,110,113}, {3,5,7,10,11,13,14,24,25,26,31,33,39,40,43,44,45,49,56,57,58,62,67,69,70,71,77,78,79,89,92,93,96,101,105,106,109,111,112,114}, {}
1: {1,2,4,6,8,9,12,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,41,45,49,52,60,61,62,63,65,66,67,68,71,72,76,80,81,84,86,87,91,92,95,97,100,102,103,107,108,113}, {3,5,7,15,24,31,39,40,44,47,53,56,70,78,83,93,94,101,111}, {10,11,13,14,33,38,42,43,46,48,50,51,54,55,57,58,59,64,69,73,74,75,77,79,82,85,88,89,90,96,98,99,104,105,106,109,110,112,114}
1: {1,2,4,6,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,40,46,47,50,53,56,59,60,61,62,63,65,66,68,76,77,80,81,83,84,85,87,88,90,91,93,96,97,98,100,102,103,104,105,108,109,111,113}, {10,12,13,24,38,42,44,45,49,51,55,57,64,70,73,78,79,94,99,101,106,112}, {3,5,7,11,39,41,43,48,52,54,58,67,69,71,72,74,75,82,86,89,92,95,107,110,114}
1: {1,2,4,6,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,48,49,53,58,59,61,63,67,68,69,75,77,79,80,83,84,85,88,89,90,91,95,96,97,98,102,103,107,108,111,112,113}, {3,7,10,11,12,13,24,31,37,39,40,42,43,44,45,46,52,54,55,56,57,62,64,70,72,73,74,78,92,99,100,101,104,105,106,114}, {5,29,33,41,47,50,51,60,65,66,71,76,81,82,86,87,93,94,109,110}
1: {1,2,4,6,8,9,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,52,53,54,60}, {3,5,10,11,13,24,31,38,39,40,42,43,44,45,46,48,49,50,51,55,56,57,58}, {7,12,17,25,41,47}
1: {1,2,4,6,8,9,14,16,17,18,19,20,21,22,23,26,27,28,29,30,34,35,36,40,47,52,55,59,60,61,63,65,66,68,70,72,74,75,76,80,83,84,87,88,90,91,95,98,100,102,103,105,108,109,113}, {3,12,13,31,39,42,67,69,71,78,79,92,101}, {5,7,10,11,15,24,25,32,33,37,38,41,43,44,45,46,48,49,50,51,53,54,56,57,58,62,64,73,77,81,82,85,86,89,93,94,96,97,99,104,106,107,110,111,112,114}
1: {1,2,4,6,8,9,14,59,63,65,68,72}, {3,10,67,70}, {5,7,11,12,13,60,61,62,64,66,69,74}
1: {1,2,4,6,8,9,15,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,38,51,53,59,61,63,65,68,71,75,76,80,81,84,85,86,87,88,89,90,97,102,111,113}, {3,10,13,31,42,43,45,46,49,50,54,55,56,57,58,62,67,99,105,106,112,114}, {5,7,11,12,14,24,25,29,33,37,39,40,41,44,47,48,52,60,64,66,69,70,72,73,74,77,78,79,82,83,91,92,93,94,95,96,98,100,101,103,104,107,108,109,110}
1: {1,2,4,6,8,9,15,16,17,18,19,20,21,24,27,28,29,30,32,34,35,36,37,38,39,40,41,47,48,49,50,51,52,53,55,57,59,61,63,65,69,73,74,75,76,87,88,89,90,91,95,96,97,101,103,104,107,108,111}, {3,5,7,10,11,13,22,23,25,26,31,42,43,44,45,56,60,62,66,67,68,70,77,78,79,80,81,82,83,84,92,93,94,98,106,109,112,114}, {12,14,33,46,54,58,64,71,72,85,86,99,100,102,105,110,113}
1: {1,2,4,6,8,11,14,15,16,17,19,20,21,22,23,26,27,28,30,32,34,35,36,39,47,51,58,59,61,65,66,68,71,74,75,77,80,84,86,87,88,90,91,96,97,100,102,103,107,108,109,111,113}, {3,10,12,24,25,31,37,40,42,43,44,45,46,48,49,52,53,54,56,57,64,67,70,73,76,79,81,92,93,95,101,105,106,110,112,114}, {5,7,9,13,18,29,33,38,41,50,55,60,62,63,69,72,78,82,83,85,89,94,98,99,104}
1: {1,2,4,6,8,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,51,53,59,60,61,62,63,65,66,68,70,71,72,76,80,81,86,87,88,89,90,91,92,95,97,102,103,104,107,109,111}, {3,7,10,11,13,31,33,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,67,74,75,77,78,79,82,93,94,96,98,100,105,108,110,112,114}, {5,9,24,25,58,64,69,73,83,84,85,99,101,106,113}
1: {1,2,4,6,9,20,22,59,60,61,62,65,68}, {3,10,69,73}, {7,13,17,67,70}
1: {1,2,4,6,12,15,16,17,18,19,20,21,24,25,26,59,60,61,62,63,64,66,68,71,75,76,77,78,79,86,87,88,90}, {8,9,10,13,23,65,67,69,70,81,82,83,84,85}, {3,7,22,72,73,74,80,89,108}
1: {1,2,4,6,15,17,18,20,21,22,23,27,68,72,76,80,86,87,88}, {3,10,24,25,67,71,73,77,83,84,85}, {5,7,8,9,59,60,61,69,70,78,79,81,82}
1: {1,2,4,7,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,41,51,55,59,60,61,62,63,65,66,68,71,72,74,76,78,80,81,82,83,84,86,87,88,89,90,91,95,96,97,98,100,102,103,107,109,113}, {3,5,6,10,11,13,24,31,37,38,39,40,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,67,69,75,79,92,93,94,99,101,105,106,108,110,111,112,114}, {64,70,73,77,85,104}
1: {1,2,4,7,15,16,17,18}, {3,8}, {}
1: {1,2,4,8,9,10,11,14,17,18,19,20,21,23,29,30,31,32,34,35,36,37,38,39,40,43,45,46,47,48,49,50,52,54,55,56,59,60,61,63,65,66,67,68,71,72,76,77,78,79,80,82,84,87,88,90,91,93,94,95,96,97,98,100,105,106,107,108,109,110,112,113,114}, {3,5,6,7,13,15,22,24,25,26,27,28,41,42,44,51,53,57,62,69,70,74,75,81,83,85,86,89,92,99,101,102,111}, {12,16,33,58,64,73,103,104}
1: {1,2,4,8,9,11,14,15,16,17,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,40,51,60,61,63,66,72,76,80,84,88,91,95,97,103,105,107}, {3,5,7,10,12,13,24,25,31,42,43,44,48,49,50,54,56,57,58,65,70,74,75,77,78,79,85,89,92,93,94,96,99,104,106,112,113}, {6,18,38,39,41,45,46,47,52,53,55,59,62,64,67,68,69,71,73,81,82,83,86,87,90,98,100,101,102,108,109,110,111,114}
1: {1,2,4,8,9,11,16,17,18,19,20,21,22,23,27,28,29,32,34,35,36,37,39,40,41,47,49,50,51,52,53,55,57,59,60,61,63,65,66,67,68,72,74,77,78,80,81,82,83,85,87,88,91,94,95,96,97,98,107,109,112,113,114}, {5,10,12,14,15,24,25,26,30,31,42,43,44,45,46,54,58,62,64,69,70,71,76,79,84,89,92,100,102,108,110}, {3,6,7,13,33,38,48,56,73,75,86,90,93,99,101,103,104,105,106,111}
1: {1,2,4,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,37,38,40,48,50,52,54,55,59,61,63,65,66,67,68,70,71,72,75,76,80,81,82,83,84,86,87,88,89,90,91,95,96,97,98,100,102,103,106,107,113}, {5,7,10,24,31,39,41,42,49,58,60,64,69,77,78,79,92,93,94,101,105,108,109,111,112,114}, {3,6,11,13,29,33,43,44,45,46,47,51,53,56,57,62,73,74,85,99,104,110}
1: {1,2,4,8,9,12,14,15,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,37,40,41,51,53,54,55,60,61,62,63,65,66,68,71,72,73,74,76,83,86,87,88,89,90,91,92,95,97,100,101,103,104,106,107}, {3,7,10,13,25,31,33,38,42,43,45,46,48,49,50,52,56,57,58,67,75,77,78,93,94,105,111,112,114}, {5,6,24,27,47,64,69,70,80,81,82,84,85,96,98,99,102,108,109,110,113}
1: {1,2,4,8,9,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,38,41,43,51,53,59,61,63,65,68,71,74,76,80,81,82,83,84,86,87,88,89,90,91,92,96,97,102,103,104,107,113}, {3,10,13,24,25,31,40,42,44,45,46,47,48,49,50,52,54,55,56,57,58,64,66,67,70,72,77,78,79,93,94,98,99,105,106,111,112,114}, {5,6,7,11,26,37,39,60,62,69,73,75,85,95,100,101,108,109,110}
1: {1,2,4,8,9,12,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,51,53,58,60,61,62,63,64,65,66,68,70,71,73,76,80,81,83,86,87,88,89,90,91,92,95,97,101,102,103,104,107}, {3,10,13,24,25,31,37,40,43,44,45,46,48,49,50,52,54,55,56,57,67,78,79,84,93,94,100,105,110,111,112,114}, {5,6,7,11,14,33,39,42,47,59,69,72,74,75,77,82,85,96,98,99,106,108,109,113}
1: {1,2,4,8,9,12,16,17,18,19,20,21,22,25,27,33,34,35,36,38,40,43,53,56,59,60,63,65,71,74,80,83,86,87,88,89,91,96,98,100,103,105,106,108,109,111,112,113}, {3,10,11,13,14,15,24,26,29,30,31,32,39,41,42,44,45,46,48,49,50,51,52,57,64,67,69,72,73,75,77,79,82,84,92,93,99,101,104,107,114}, {5,6,7,23,28,37,47,54,55,58,61,62,66,68,70,76,78,81,85,90,94,95,97,102,110}
1: {1,2,4,8,9,14,15,16,17,18,19,20,21,22,23,26,28,29,30,32,33,34,35,36,37,47,51,53,55,59,63,65,66,68,71,74,76,80,81,83,84,86,88,89,90,91,95,96,97,100,103,104,107,111,113}, {3,10,11,13,24,27,31,39,41,42,43,44,45,46,48,49,50,52,54,56,57,58,61,64,67,70,73,75,77,78,79,85,92,93,94,98,99,101,108,109,112,114}, {5,6,7,12,25,38,40,60,62,69,72,82,87,102,105,106,110}
1: {1,2,4,8,9,14,15,16,17,18,19,20,21,22,23,26,28,29,33,34,35,36,38,41,47,51,53,55,59,60,63,65,68,69,70,71,72,74,75,76,79,80,81,82,83,84,85,86,87,88,89,90,94,95,97,100,103,107,109,113}, {3,6,7,10,11,12,13,25,27,30,31,32,37,39,40,42,43,44,45,46,48,49,50,52,54,56,57,58,61,64,67,77,78,91,92,96,98,99,102,104,106,111,114}, {5,62,66,73,93,108,110}
1: {1,2,4,8,9,14,15,16,17,19,20,21,22,23,26,27,28,29,30,33,34,35,36,38,41,48,51,53,59,60,61,62,63,64,65,66,68,70,71,73,74,75,76,80,81,83,84,85,86,87,88,89,90,91,93,95,96,97,101,102,103,104,106,107,110,111,113}, {3,6,7,10,11,12,13,18,24,25,31,37,39,42,43,44,45,46,47,49,50,52,55,56,57,58,67,69,77,78,79,82,92,94,98,99,100,105,109,112,114}, {5,32,40,54,72,108}
1: {1,2,4,8,9,14,15,16,17,19,20,21,22,23,26,27,28,30,32,34,35,36,37,40,41,49,52,53,54,59,60,61,62,63,64,65,66,68,70,71,72,76,79,80,81,84,85,87,88,90,91,96,97,98,100,103,106,107,108,109,110,113}, {3,5,10,12,13,24,25,31,43,44,45,47,55,56,57,58,67,73,75,77,78,83,92,94,99,101,111,112,114}, {6,7,11,18,29,33,38,39,48,50,69,74,82,89,93,95,102}
1: {1,2,4,8,9,14,16,17,18,19,21,28,30,35,41,51,60,63,65,68,71,76,81,83,84,85,88,89,91,96,97}, {3,10,11,13,22,23,24,25,31,33,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,64,67,69,78,79,99,101,105,111,112,114}, {5,6,7,12,15,20,26,27,29,32,34,36,37,38,53,59,61,62,66,70,72,73,74,75,77,80,82,86,87,90,92,93,94,95,98,100,102,103,104,106,107,108,109,110,113}
1: {1,2,4,8,9,14,18,19,20,21,22,23,26,28,30,32,35,36,37,47,49,51,55}, {5,12,16,17,24,42,44,56,57,58}, {3,6,7,10,11,13,15,25,27,29,38,39,40,41,43,45,46,48,50,52,53,54}
1: {1,2,4,8,9,15,16,17,20,22,23,26,28,30,32,34,35,36,37,41,51,60,61,62,65,66,68,72,76,81,84,85,86,87,88,89,91,98,100,102,103,113}, {3,10,12,13,24,25,29,31,33,40,42,43,44,45,46,48,49,50,53,54,55,56,57,58,67,70,73,75,77,78,80,94,101,104,105,111,112,114}, {5,6,7,11,14,18,19,21,27,38,39,47,52,59,63,64,69,71,74,79,82,83,90,92,93,95,96,97,99,106,107,108,109,110}
1: {1,2,4,8,9,16,17,18,19,20,21,35,37,38,72,96,97,98,113}, {3,7,70,75}, {15,64,69,73,112}
1: {1,2,4,8,11,12,15,16,17,18,19,20,21,22,26,28,30,32,34,35,36,37,40,41,47,50,51,53,59,60,61,63,65,66,67,68,72,76,80,82,83,84,87,88,91,96,97,100,102,103,107,113}, {3,5,6,9,10,24,25,29,31,33,39,42,43,44,46,49,52,54,56,58,70,71,73,75,77,78,79,85,89,92,93,94,101,104,105,108,109,110,111,112,114}, {7,13,14,23,27,38,45,48,55,57,62,64,69,74,81,86,90,95,98,99,106}
1: {1,2,4,11,12,16,18,19,21,28,29,32,33,34,36,38,40,74,75,77,80,89,90,91,94,95,96,98,102,103,105,106,107,110,113}, {5,10,13,15,24,25,26,31,43,45,50,52,54,61,67,69,78,85,99,109,112,114}, {14,17,27,30,79,81,82,86,92,93,97,100,101,104,108,111}
1: {1,2,4,13,14,16,17,18,20,21,29,31,32,34,35,36,37,40,41,42,43,44,45,47,48,52,54,55,56,59,60,63,65,72,74,75,77,81,83,93,95,96,98,99,102,103,104,107,114}, {15,26,33,62,76,80,82,87,94,97}, {39,46}
1: {1,2,4,15,21}, 3, {}
1: {1,2,4,28,30,32}, 3, {29,33}
1: {1,2,4,28,30,59,60,63,65,66,68,70}, {3,15,64,69}, {29,33,67}
1: {1,2,4,66,84,91,96,97}, {3,5,69,94,95}, {64,83,98}
1: {1,2,4,80,91,93,97}, {3,10,75}, 92
1: {1,2,5,6,7,8,9,10,12,15,16,18,19,20,22,23,25,26,27,28,29,30,32,33,34,35,36,38,41,43,45,47,48,49,50,51,52,53,55,59,60,61,62,63,64,66,68,69,72,74,75,76,81,82,83,86,87,90,91,92,93,95,97,101,102,103,104,107,109,110,111,114}, {3,4,11,13,14,17,24,31,37,39,40,42,44,54,56,57,58,65,70,71,73,77,78,79,84,85,88,89,94,96,98,99,100,105,112,113}, {21,46,67,80,106,108}
1: {1,2,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,38,41,47,51,53,58,59,60,61,63,65,66,68,70,71,72,73,76,77,80,81,82,83,84,85,86,87,88,91,95,96,97,98,100,102,103,104,106,108,110,111,113}, {3,4,10,13,24,29,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,64,67,69,74,75,78,79,89,92,93,99,101,105,107,112,114}, {62,90,94,109}
1: {1,2,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,40,41,47,48,52,53,55,56,58,59,63,65,66,68,71,72,74,76,80,81,83,84,85,86,87,88,89,90,91,93,94,95,96,97,98,100,103,104,106,107,109,110,111,112,113}, {3,4,24,25,31,37,39,42,43,44,45,49,50,51,57,60,62,64,67,69,70,73,75,77,78,79,82,92,99}, {10,13,46,54,61,101,102,105,108,114}
1: {1,2,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,40,41,47,50,51,52,53,55,59,60,61,62,63,64,65,66,68,70,72,75,76,77,79,80,81,83,84,85,86,87,88,90,91,96,97,98,100,103,107,109,110,113}, {3,4,10,13,24,31,38,39,43,46,48,49,54,56,57,58,69,71,73,78,93,94,99,101,104,105,111,112}, {25,37,42,44,45,67,74,82,89,92,95,102,106,108,114}
1: {1,2,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,42,43,53,55,57,61,63,65,66,68,70,71,75,76,77,80,81,82,83,84,85,86,87,88,89,90,91,94,97,98,100,103,106,107,110,113}, {3,10,25,31,37,44,45,48,49,51,54,56,58,67,69,73,78,79,93,95,99,102,105,109,112}, {4,13,24,26,33,39,40,41,46,47,50,52,59,60,62,64,72,74,92,96,101,104,108,111,114}
1: {1,2,5,6,7,8,9,11,12,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,40,41,47,48,49,50,51,52,53,54,55,57,58,59,60,61,63,65,66,68,69,72,74,76,77,78,79,83,84,87,88,90,91,93,96,97,98,100,102,103,105,106,107,108,111,112,113,114}, {3,4,10,15,24,31,33,37,39,42,43,44,45,56,67,70,71,73,75,81,82,85,92,95,99,101,109,110}, {13,46,62,64,80,86,89,94,104}
1: {1,2,5,6,7,8,9,11,12,15,16,17,19,20,21,22,24,27,28,29,34,35,36,38,39,40,41,42,47,48,49,50,52,53,54,56,58,59,60,61,64,65,66,68,71,72,73,74,75,76,77,78,79,80,81,83,87,88,89,90,91,93,94,96,97,98,101,102,103,104,105,107,108,109,110,111,112,113}, {3,4,10,13,14,23,25,26,30,31,32,33,43,44,45,46,51,55,57,62,63,67,69,70,82,85,86,92,95,100,106,114}, {18,37,84,99}
1: {1,2,5,6,7,8,9,12,14,15,16,17,18,19,20,21,23,26,27,28,29,30,32,33,34,35,36,37,38,39,41,47,51,53,59,60,61,63,65,66,68,70,75,76,77,80,81,83,84,85,87,88,89,90,92,96,97,102,103,107,108,111,113}, {3,10,13,24,31,40,43,44,46,49,50,52,54,55,56,57,58,62,67,69,74,78,79,82,99,101,104,105,109,112,114}, {4,11,22,25,42,45,48,64,71,72,73,86,91,93,94,95,98,100,106,110}
1: {1,2,5,6,7,8,9,12,14,16,17,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,41,47,48,49,53,58,59,60,61,63,65,66,68,69,70,71,72,74,75,76,80,81,83,84,85,87,88,89,90,91,94,95,96,97,98,100,102,103,104,106,107,109,110,111,112,113}, {3,4,10,11,13,24,25,26,31,39,40,42,43,44,45,50,51,56,57,67,77,78,79,82,92,99,114}, {32,46,52,55,62,64,73,86,93,101,105}
1: {1,2,5,6,7,8,12,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,47,51,53,54,58,59,61,62,63,66,68,71,72,74,75,76,79,80,81,82,83,86,87,88,89,90,93,94,96,97,98,102,103,106,107,108,109,110,111,113}, {3,9,10,11,13,24,31,33,37,40,42,43,44,45,48,49,50,52,55,56,57,65,67,70,78,84,95,99,112,114}, {4,17,39,41,46,60,64,69,73,77,85,91,92,100,101,104,105}
1: {1,2,5,6,7,9,11,14,15,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,37,38,51,53,58,62,63,65,66,68,69,70,71,72,74,76,77,79,80,81,83,86,87,88,90,91,92,95,96,97,98,102,103,104,107,108,110,113}, {3,4,10,12,13,24,29,31,39,42,43,44,45,48,49,52,55,56,57,59,75,78,85,94,105,106,111,112,114}, {8,25,26,33,40,41,46,47,50,54,60,61,64,67,73,82,84,89,93,99,100,101,109}
1: {1,2,5,6,7,11,14,15,16,17,18,19,20,21,24,28,29,30,31,32,34,35,36,37,41,43,47,48,50,51,53,59,60,61,62,63,64,66,68,69,72,75,76,77,79,80,83,86,87,88,89,90,91,92,95,96,97,98,99,101,103,104,106,107,108,109,110,111,113}, {3,4,8,9,10,12,13,22,23,25,26,27,33,38,39,40,42,44,45,46,49,52,54,55,56,57,58,65,67,70,71,73,74,78,81,82,84,85,93,94,100,102,105,112,114}, {}
1: {1,2,5,6,8,9,10,11,14,16,17,18,19,21,22,28,30,34,35,36,38,40,47,48,50,52,54,55,57,58,59,61,63,65,67,68,69,72,74,77,79,80,81,83,84,87,88,91,95,96,98,100,102,103,105,107,108,110,111,113,114}, {3,4,12,15,23,24,25,26,27,29,31,33,39,41,43,45,49,53,56,62,70,75,78,89,92,99,101,104,106,112}, {7,13,20,32,37,42,44,46,51,60,64,66,71,73,76,82,85,86,90,93,94,97,109}
1: {1,2,5,6,8,9,10,13,16,17,18,19,20,21,22,23,27,28,29,34,35,36,37,39,40,45,47,48,50,51,52,53,55,57,58,59,61,63,66,67,68,72,74,75,76,79,81,83,88,90,91,93,95,96,98,99,100,105,106,107,108,109,110,113,114}, {3,4,7,12,14,15,24,25,26,31,32,33,38,41,42,43,44,46,49,56,60,62,64,65,69,70,71,73,77,78,80,82,84,86,89,92,94,97,101,102,103,104,111,112}, {11,30,54,85,87}
1: {1,2,5,6,8,9,10,14,17,18,19,20,21,23,26,27,28,29,30,32,34,35,36,37,39,40,41,43,44,45,50,51,52,53,54,55,58,59,60,61,62,63,64,65,67,68,69,72,74,75,77,78,83,86,87,91,92,94,95,96,98,102,103,105,107,108,109,110,112,113,114}, {4,7,11,12,13,15,16,22,24,25,31,33,38,42,48,49,56,66,70,71,73,76,79,80,81,82,84,85,88,89,93,97,99,104,106}, {3,46,47,57,90,100,101,111}
1: {1,2,5,6,8,9,11,12,13,14,17,18,19,21,22,23,25,27,28,29,30,33,34,35,36,37,38,40,41,49,51,52,53,54,55,57,59,60,61,62,63,65,67,68,70,72,73,74,78,81,82,83,85,86,88,89,90,91,94,95,96,97,98,100,103,104,105,106,107,108,109,110,111,112,113}, {3,4,7,10,15,16,20,24,26,31,32,39,42,43,44,45,46,47,48,50,56,58,64,66,69,71,75,76,77,79,80,87,92,93,99,101,114}, {84,102}
1: {1,2,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,41,47,51,53,54,58,59,60,61,62,63,65,66,68,71,72,74,76,79,80,81,84,85,86,87,88,89,90,91,95,96,97,100,102,103,106,107,108,109,110,113}, {3,7,10,13,24,31,37,39,42,43,44,45,46,48,49,50,56,57,64,67,69,73,75,77,78,92,93,94,99,101,111,112,114}, {4,40,52,55,70,82,83,98,104,105}
1: {1,2,5,6,8,9,11,12,14,15,16,17,18,19,20,21,24,26,27,28,29,32,33,34,35,36,38,47,48,49,52,53,55,57,58,59,60,61,63,64,68,74,75,76,77,79,80,82,83,84,85,86,87,88,90,91,95,96,100,102,103,107,108,109,110,111,112,113}, {3,4,7,10,13,22,23,25,30,31,37,39,42,43,44,45,46,50,51,54,56,62,65,67,69,70,71,72,78,81,92,93,94,97,98,99,101,105}, {40,41,66,73,89,104,106,114}
1: {1,2,5,6,8,9,11,12,14,15,16,17,18,19,20,21,25,26,27,28,29,30,32,34,35,36,38,47,51,53,55,59,60,61,62,63,65,66,68,71,73,74,75,76,80,81,83,84,85,86,87,88,89,90,91,95,97,98,100,103,104,105,106,107,108,110,111,113}, {3,7,10,13,31,33,37,39,40,41,42,43,44,45,46,48,49,50,54,56,57,58,67,69,70,77,78,93,94,112,114}, {4,22,23,24,52,64,72,79,82,92,96,99,101,102,109}
1: {1,2,5,6,8,9,11,12,14,15,16,17,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,40,51,53,54,60,62,64,65,68,70,72,74,75,76,81,82,84,85,86,87,88,90,91,93,96,97,102,103,107,113}, {4,10,13,24,31,33,38,43,44,45,46,47,48,49,50,52,55,56,57,58,59,61,63,66,67,69,71,78,83,98,101,108,111,112,114}, {3,7,18,37,39,41,42,73,77,79,80,89,92,94,95,99,100,104,105,106,109,110}
1: {1,2,5,6,8,9,11,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,41,45,47,50,51,52,53,54,55,58,59,60,61,62,63,64,65,66,67,68,69,72,74,75,76,79,80,81,83,84,85,86,87,88,90,91,95,97,98,100,102,103,105,106,107,110,113}, {3,4,7,10,13,25,31,33,39,42,43,44,48,49,56,70,71,77,78,82,89,92,94,96,99,101,109,111,112,114}, {17,24,46,57,73,93,104,108}
1: {1,2,5,6,8,9,11,12,14,15,17,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,40,41,47,48,49,53,54,56,59,60,61,63,65,67,68,69,72,74,76,77,79,84,87,90,91,96,98,102,103,107,108,110,111,112,113,114}, {4,7,24,37,39,42,45,51,57,62,64,78,92,94,97,99}, {3,10,13,16,25,26,31,32,43,44,46,50,52,55,58,66,70,71,73,75,80,81,82,83,85,86,88,89,93,95,100,101,104,105,106,109}
1: {1,2,5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,41,47,50,51,52,53,55,58,59,60,61,63,65,66,68,71,72,74,76,79,80,81,82,84,85,86,87,88,91,92,96,98,100,102,103,104,106,107,108,109,110,111,112,113}, {3,4,10,13,15,24,25,31,33,37,39,42,43,44,45,46,48,49,54,56,57,64,67,69,70,75,77,78,83,93,95,99,105,114}, {7,62,73,89,90,94,97,101}
1: {1,2,5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,27,28,30,33,34,35,36,38,47,51,53,54,59,60,61,63,65,69,72,74,79,80,81,83,84,85,88,89,90,91,95,97,98,100,104,107,108,109,110,113}, {3,4,7,10,13,15,24,25,26,29,31,32,37,39,40,41,42,43,44,45,46,49,50,52,56,57,58,64,66,67,68,70,71,73,75,76,77,82,87,92,93,94,96,99,105,106,112,114}, {48,55,62,78,86,101,102,103,111}
1: {1,2,5,6,8,9,11,12,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,33,35,51,53,59,60,61,62,63,65,66,68,71,75,76,80,84,86,87,88,89,90,91,92,93,95,97,98,102,103,104,106,107,108}, {3,4,10,13,24,39,40,41,42,43,44,45,46,48,49,50,52,54,55,56,57,58,64,67,69,70,74,77,78,79,82,83,94,96,99,100,105,109}, {7,22,38,47,72,73,81,85,101}
1: {1,2,5,6,8,9,11,13,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,40,49,50,51,52,53,54,55,57,59,60,61,62,63,64,65,66,68,72,74,76,83,86,87,88,89,90,91,92,95,96,97,98,100,102,103,105,106,107,109,110,111,112,113}, {3,4,7,10,12,24,31,33,39,41,42,43,44,45,47,48,56,58,67,73,75,77,78,94,99}, {46,69,70,71,84,85,93,101,104,108,114}
1: {1,2,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,41,47,51,53,55,57,59,60,62,63,65,66,68,71,76,81,87,88,90,91,95,97,98,107,108,109,113}, {3,4,7,10,13,24,25,31,39,40,42,43,44,46,48,50,54,56,58,69,73,74,75,77,78,79,82,93,94,99,101,105,110,111,112,114}, {12,33,45,49,52,61,64,67,70,72,80,83,84,85,86,89,92,96,100,102,103,104,106}
1: {1,2,5,6,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,40,41,47,49,50,51,52,53,54,55,57,58,60,61,62,63,65,68,71,72,74,75,76,77,80,81,82,84,85,86,87,88,90,91,95,96,97,98,100,103,104,105,106,107,110,112,113}, {3,4,7,10,12,13,31,33,38,39,42,43,44,45,46,48,56,66,69,70,78,79,83,92,94,99,108,109}, {24,25,59,64,67,73,89,93,101,102,111,114}
1: {1,2,5,6,8,9,11,14,16,17,18,19,21,22,23,26,27,28,30,34,35,36,47,48,49,52,53,54,55,59,60,61,63,65,66,68,72,74,75,76,79,80,81,82,85,86,87,90,91,92,95,96,97,99,102,103,105,107,108,110,111,113}, {24,25,29,31,32,33,39,42,43,44,58,70,73,77,94,112}, {3,4,7,10,12,13,15,20,37,38,40,41,45,46,50,51,56,57,62,64,67,69,71,78,83,84,88,89,93,98,100,101,104,106,109,114}
1: {1,2,5,6,8,9,11,15,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,41,47,48,50,51,52,53,59,60,61,63,65,66,68,70,72,75,77,81,83,84,85,87,88,90,91,94,96,97,98,100,102,103,107,108,109,110,111,112,113}, {3,4,7,10,13,14,25,26,31,33,39,43,44,45,46,49,54,56,58,62,67,69,71,74,78,79,80,82,86,92,93,99,105,106,114}, {12,24,37,40,42,55,57,64,73,76,89,95,101,104}
1: {1,2,5,6,8,9,11,15,16,17,18,19,20,21,22,23,29,30,34,35,36,38,40,49,52,53,54,59,60,61,62,63,65,68,69,74,77,79,81,83,84,86,88,89,91,92,94,95,96,97,100,102,103,107,109,113}, {3,4,7,10,12,13,14,24,25,26,27,28,31,32,37,39,41,42,43,44,45,46,48,50,55,56,57,58,64,66,67,70,72,73,76,78,80,82,85,93,98,99,101,104,105,108,110,111,112,114}, {33,47,51,71,75,87,90,106}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,24,27,28,29,32,34,35,36,38,47,48,51,53,59,61,62,63,65,66,68,71,75,76,80,81,87,90,91,92,95,96,97,98,102,103,104,107,111,113}, {3,10,11,13,25,31,33,37,39,42,43,44,45,49,50,55,56,57,67,69,94,99,100,101,105,106,112,114}, {4,7,26,30,40,41,46,52,54,58,60,64,70,72,73,74,77,78,79,82,83,84,85,86,88,89,93,108,109,110}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,53,59,60,61,62,63,65,66,68,72,75,76,80,81,86,87,88,91,96,97,98,101,103,104,107,109,110,113}, {3,10,13,31,37,42,43,44,45,49,50,52,56,57,78,79,82,94,105,112,114}, {4,7,11,24,33,39,40,41,46,47,48,51,54,55,58,64,67,69,70,71,73,74,77,83,84,85,89,90,92,93,95,99,100,102,106,108,111}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,37,38,41,49,51,52,59,60,61,62,63,65,66,68,70,71,76,80,81,82,83,84,85,86,87,88,90,91,92,96,98,100,102,103,104,107,108,113,114}, {3,4,7,10,13,24,31,39,42,44,45,46,47,50,53,55,56,57,58,67,69,72,73,77,78,94,99,105,109,112}, {11,29,33,40,43,48,54,64,74,75,79,89,93,95,97,101,106,110,111}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,41,47,49,50,52,53,59,61,62,63,65,66,68,71,74,76,77,80,81,83,84,85,87,88,89,90,92,96,97,98,103,104,108,113}, {3,4,10,11,13,31,33,37,39,40,42,43,44,45,46,54,55,56,57,58,67,69,70,78,79,94,100,101,102,105,111,112,114}, {7,24,29,48,51,60,64,72,73,75,82,86,91,93,95,99,106,107,109,110}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,31,32,34,35,36,38,41,47,51,53,55,60,61,62,63,65,66,68,70,72,74,76,80,81,82,83,84,85,86,87,88,89,90,91,96,97,98,100,103,107,108,109}, {3,4,10,13,24,33,37,39,40,42,43,44,45,46,48,49,50,52,56,57,58,59,64,67,69,75,78,79,92,93,94,99,101,104,105,106,111,112,114}, {7,11,28,54,71,73,77,95,102,110,113}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,28,30,32,34,35,36,38,49,51,53,63,65,66,68,71,76,80,81,83,84,86,87,88,89,95,96,99,102,103,104,109,113}, {3,4,7,10,11,13,24,29,31,33,37,39,40,42,43,44,45,46,47,50,52,54,55,56,57,58,61,64,67,69,72,73,74,75,77,78,79,92,94,98,105,106,107,110,112,114}, {27,41,48,59,60,62,70,82,85,90,91,93,97,100,101,108,111}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,39,40,41,48,50,51,53,59,61,63,65,66,68,72,75,76,79,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,102,103,105,107,108,110,111,113}, {3,7,10,11,13,24,25,31,42,43,44,46,49,54,55,56,57,58,64,67,69,70,71,73,74,77,78,92,93,99,101,106,112,114}, {4,29,45,47,52,60,62,82,94,100,104,109}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,47,51,53,61,62,63,65,66,68,70,71,75,76,80,81,83,84,85,86,87,88,89,90,91,96,97,98,100,102,103,108,111,113}, {3,4,10,11,13,24,25,29,31,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,59,64,67,72,74,77,78,79,92,94,99,101,104,105,109,110,112,114}, {7,37,41,60,69,73,82,93,95,106,107}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,41,51,53,58,59,60,61,62,63,65,66,68,70,71,72,74,75,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,100,102,103,104,106,107,113}, {3,4,7,10,13,24,25,31,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,64,67,78,79,92,93,98,99,105,108,111,112,114}, {11,26,47,69,73,77,82,94,101,109,110}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,26,27,28,30,32,34,35,36,37,38,41,51,52,53,59,61,62,63,65,66,68,71,76,77,80,84,87,88,89,90,91,96,97,98,100,102,103,106,108,109,110,113}, {3,10,13,24,29,33,39,40,42,43,44,45,46,47,48,49,50,54,55,56,57,58,64,67,69,70,73,74,75,78,79,81,82,94,99,101,104,105,111,112,114}, {4,7,11,23,25,31,60,72,83,85,86,92,93,95,107}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,23,25,26,27,28,32,33,34,35,36,38,41,47,48,56,59,61,63,65,66,68,70,71,72,76,79,80,81,83,84,85,86,88,89,90,91,94,96,97,98,102,103,107,108,110,111,112,113}, {3,4,10,11,13,22,24,29,31,37,39,42,43,44,46,49,52,54,57,58,64,67,69,74,75,78,87,92,95,99,101,105,114}, {7,30,40,45,50,51,53,55,60,62,73,77,82,93,100,104,106,109}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,20,21,25,26,27,28,29,30,32,33,34,35,36,37,40,47,48,51,52,53,54,55,57,59,61,62,63,65,68,69,71,72,73,74,75,76,78,79,80,81,85,86,87,88,89,90,91,95,96,97,100,102,103,104,105,106,107,108,109,110,111,113}, {3,4,7,10,13,22,31,39,41,42,43,44,45,46,49,56,60,64,67,70,77,82,83,84,92,93,94,98,99,101,112,114}, {11,23,24,38,50,58,66}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,21,22,23,25,26,27,29,30,33,34,35,36,38,40,47,48,49,50,52,53,55,56,59,60,61,63,65,68,71,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,94,96,97,102,103,106,108,110,113}, {3,4,11,13,24,31,37,42,43,44,45,46,51,54,57,58,67,69,70,73,74,78,95,98,99,101,104,105,107,109,111,112,114}, {7,10,20,28,32,39,41,62,64,66,72,92,93,100}
1: {1,2,5,6,8,9,12,14,15,16,17,18,19,21,22,23,26,27,28,29,30,33,34,35,36,38,53,59,61,63,65,66,68,71,75,76,83,84,85,87,88,89,90,91,93,96,97,98,100,102,103,108,111,113}, {3,7,10,13,24,31,42,43,44,45,46,48,49,50,52,55,57,58,67,69,70,78,79,99,105,106,112,114}, {4,11,20,25,32,37,39,40,41,47,51,54,56,60,62,64,72,73,74,77,80,81,82,86,92,94,95,101,104,107,109,110}
1: {1,2,5,6,8,9,12,14,15,16,18,19,20,21,22,23,26,28,29,30,32,34,35,36,51,52,53,54,55,57,59,61,62,63,67,68,69,70,71,72,76,80,83,86,87,90,91,92,95,100,102,103,107,109,110,113}, {3,4,10,24,25,27,31,33,40,42,43,44,46,48,49,56,58,65,75,77,78,79,84,85,93,94,96,97,98,99,105,108,111,112}, {7,11,13,17,37,38,39,41,45,47,50,60,64,66,73,74,81,82,88,89,101,104,106,114}
1: {1,2,5,6,8,9,12,14,15,16,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,55,60,61,62,63,65,66,67,68,70,71,74,81,83,85,86,87,88,89,90,91,92,95,96,97,101,102,103,104,107,113}, {3,7,10,13,24,25,31,37,39,40,42,44,45,48,49,50,52,56,57,58,73,75,76,77,78,79,93,94,98,99,100,105,106,111,112,114}, {4,11,17,18,43,46,47,54,59,64,69,72,80,82,84,108,109,110}
1: {1,2,5,6,8,9,12,14,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,38,51,59,60,61,62,63,64,65,66,68,70,76,81,85,86,87,88,89,90,91,96,102,103,107,111,113}, {3,4,10,13,24,39,40,42,43,44,45,46,48,49,50,52,55,57,58,67,78,83,93,98,99,100,105,106,112,114}, {7,11,15,25,29,31,33,37,41,47,53,54,56,69,71,72,73,74,75,77,79,80,82,84,92,94,95,97,101,104,108,109,110}
1: {1,2,5,6,8,9,12,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,47,51,53,61,62,63,65,66,68,69,70,71,72,76,80,82,83,84,85,86,87,88,89,90,91,92,97,102,103,104,107,109,111,113}, {3,4,10,13,24,25,31,33,39,42,43,44,45,46,48,49,50,56,57,59,64,67,75,77,78,79,93,94,99,110,112,114}, {7,11,14,37,41,52,54,55,58,60,73,74,81,95,96,98,100,101,105,106,108}
1: {1,2,5,6,8,9,12,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,41,47,51,53,59,60,61,62,63,65,66,68,69,71,72,75,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,104,106,107,112,113}, {3,4,7,10,11,13,14,15,24,25,26,29,31,33,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,64,67,70,73,74,77,78,79,82,92,93,94,99,101,105,108,109,110,111,114}, {}
1: {1,2,5,6,8,9,13,16,17,18,19,21,22,23,24,27,28,29,34,35,36,40,47,48,49,51,53,54,58,59,61,63,66,68,72,74,78,80,81,82,83,84,85,86,88,90,94,95,96,98,100,101,102,103,104,106,107,108,109,110,111,112,113}, {3,4,7,10,11,12,14,20,25,26,30,31,32,33,38,41,42,43,44,45,46,50,52,55,56,57,60,62,64,65,67,70,71,73,75,76,79,89,91,92,93,97,99,105,114}, {15,37,39,69,77,87}
1: {1,2,5,6,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,41,47,51,52,53,59,60,61,63,65,71,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,100,102,103,107,108,113}, {3,4,10,11,13,24,31,37,39,40,42,43,44,45,46,49,50,54,55,56,57,58,64,67,69,70,73,74,75,77,78,99,101,105,106,109,112,114}, {7,12,48,62,66,68,72,79,82,92,93,94,104,110,111}
1: {1,2,5,6,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,34,35,36,37,40,41,49,51,53,59,60,62,63,66,68,70,71,76,80,81,83,84,85,87,88,89,91,92,93,95,96,97,100,102,103,104,107,110,113}, {3,4,7,10,11,12,13,24,31,32,33,38,39,42,43,44,45,46,47,48,50,52,54,55,56,57,58,61,64,67,69,72,73,74,75,77,78,79,94,98,99,101,105,106,109,111,112,114}, {65,82,86,90,108}
1: {1,2,5,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,39,40,43,45,46,47,48,50,52,53,55,59,60,61,62,63,65,66,67,68,72,74,75,76,77,79,80,81,83,86,87,88,89,90,91,96,97,98,103,104,106,107,109,110,113,114}, {3,4,10,12,13,24,25,41,42,44,49,51,57,64,69,70,71,78,82,84,85,92,94,100,105,108,111,112}, {7,11,31,33,37,54,56,58,73,93,95,99,101,102}
1: {1,2,5,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,41,51,53,54,55,59,61,62,63,65,66,68,70,71,72,74,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,100,101,102,103,104,106,107,111,113}, {3,4,10,13,24,25,31,39,43,44,45,49,56,57,67,69,75,77,94,99,108,112}, {7,11,12,33,37,42,46,47,48,50,52,58,60,64,73,78,79,82,92,93,98,105,109,110,114}
1: {1,2,5,6,8,9,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,51,53,54,55,60,61,62,63,65,66,76,77,81,83,84,85,86,87,88,90,91,95,96,97,100,103,107,108,110,111,113}, {3,4,7,10,11,12,24,25,31,33,38,39,40,42,44,46,48,49,52,56,57,64,67,69,70,71,73,75,78,79,82,92,94,98,99,101,105,106,112,114}, {13,26,41,43,45,47,50,59,72,74,80,89,93,104,109}
1: {1,2,5,6,8,9,14,15,16,17,18,19,21,22,23,25,26,27,28,30,32,33,34,35,36,47,51,53,59,60,61,63,65,66,68,69,70,71,74,76,77,79,80,81,83,84,85,87,88,90,91,95,96,97,102,103,106,107,108,110,113}, {3,4,10,11,12,13,24,31,38,39,43,44,45,46,48,49,50,52,54,56,57,58,67,73,78,99,112,114}, {7,20,29,37,40,41,42,55,62,64,72,75,82,86,89,92,93,94,98,100,101,104,105,109,111}
1: {1,2,5,6,8,9,14,15,16,17,19,20,21,22,23,25,26,27,28,30,32,34,35,36,37,38,43,47,48,52,59,60,61,62,63,64,65,66,68,71,72,76,77,80,81,83,84,85,86,87,88,89,90,96,97,98,99,100,102,103,107,109,110,112,113}, {3,10,12,24,29,31,33,39,40,42,44,49,56,57,58,67,69,70,73,75,78,79,93,95,101,104,106,108,111,114}, {4,7,11,13,18,41,45,46,50,51,53,54,55,74,82,91,92,94,105}
1: {1,2,5,6,8,9,14,15,16,18,19,20,23,25,27,28,30,32,33,34,35,36,37,38,40,47,48,49,50,51,52,53,58,59,60,61,62,63,65,66,68,70,77,81,83,86,87,90,91,95,96,97,98,100,102,103,105,106,107,108,109,110,113}, {3,11,12,13,24,29,31,39,41,42,43,44,45,46,56,57,64,71,74,78,79,89,92,93,99,101,112,114}, {10,17,26,54,55,67,69,72,73,75,80,84,85,88,94,104,111}
1: {1,2,5,6,8,9,14,16,17,18,19,20,21,23,25,26,27,28,34,35,36,38,40,41,47,50,52,53,54,56,59,61,74,75,77,80,81,82,83,84,85,87,89,90,91,94,95,96,98,100,102,103,105,108,110,111,112,113,114}, {3,4,10,12,13,15,22,24,30,31,33,39,42,43,44,45,46,48,49,51,55,57,58,62,67,69,70,71,79,92,97,99,101,106}, {7,11,29,32,37,60,63,64,65,66,68,72,73,76,78,86,88,93,104,107,109}
1: {1,2,5,6,8,9,14,28,29,30,33,34,43,54,59,60,61,62,63,65,66,68,71,75,76,83,84,86,88,89,90,91,93,107,108,109,110,111,112,113}, {3,4,11,12,44,46,51,64,69,85,94}, {7,13,31,32,45,52,77,78}
1: {1,2,5,6,8,9,15,16,17,18,19,20,21,22,23,25,26,27,28,29,32,34,35,36,38,40,41,47,48,50,52,53,56,59,60,61,63,65,66,68,72,75,77,79,80,81,83,86,88,89,90,91,95,96,97,98,99,102,103,104,107,110}, {3,10,11,12,13,33,37,39,42,43,44,46,49,51,54,57,58,62,64,67,69,70,71,73,74,78,82,84,85,87,92,100,101,106,109,111,112,113,114}, {4,7,14,24,30,31,45,55,76,93,94,105,108}
1: {1,2,5,6,8,9,15,16,17,18,19,20,23,27,29,30,32,34,35,36,38,47,51,53,61,63,64,65,68,71,76,83,84,85,87,88,90,97,102,103,107,111,113}, {10,25,39,42,43,44,45,46,48,49,50,52,55,56,57,67,78,79,108,112}, {3,4,7,11,12,13,14,21,22,24,26,28,31,33,37,40,41,54,58,59,60,62,66,69,70,72,73,74,75,77,80,81,82,86,89,91,92,93,94,95,96,98,99,100,101,104,105,106,109,110,114}
1: {1,2,5,6,8,9,15,16,20,21,22}, 3, {4,7}
1: {1,2,5,6,8,9,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,51,52,53,59,60,62,66,71,74,76,80,81,83,87,88,89,91,95,96,102,103,106,107,109,113}, {3,4,10,11,13,15,24,25,26,31,33,37,39,42,43,44,45,46,48,49,50,55,56,57,67,68,69,70,73,75,77,78,93,94,97,99,101,112,114}, {7,12,14,29,40,41,47,54,58,61,63,64,65,72,79,82,84,85,86,90,92,98,100,104,105,108,110,111}
1: {1,2,5,6,8,9,18,19,28,29,30,34,35,36,38,47,53,59,61,62,63,66,68,71,76,80,81,82,83,85,86,87,88,90,93,94,96,97,98,102,103,112,113}, {3,4,7,11,12,13,31,42,43,44,45,46,48,49,51,54,55,56,57,58,60,69,101,106,111,114}, {10,14,15,16,17,32,33,37,39,40,41,50,52,64,67,70,72,73,74,75,77,78,79,84,89,92,95,99,100,104,105,107,108,109,110}
1: {1,2,5,6,8,11,12,14,16,17,18,19,20,21,22,27,28,29,32,33,34,35,36,37,38,41}, {3,4,7,10,15,23,24,25,26,31,39,42}, {9,13,30,40}
1: {1,2,5,6,8,11,12,14,16,17,18,19,22,23,27,28,29,30,34,35,36,37,38,47,48,52,53,54,55,58,61,63,64,65,68,75,76,77,83,84,85,87,88,89,91,98,100,102,103,105,107,108,109,112}, {3,4,7,10,13,15,21,25,26,39,41,42,43,46,49,57,62,67,69,70,71,78,79,81,82,90,92,95,96,101,106,111,113}, {9,20,24,31,32,33,50,56,60,66,72,73,74,80,86,93,94,97,99,104,110,114}
1: {1,2,5,6,8,11,15,16,19,23,28,29,30,32,33,34,35,36,51,53,60,61}, {3,4,10,13,31,37,47,48,49,50,52,55,56,57,58}, {7,9,24}
1: {1,2,5,6,8,12,14,15,16,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,51,53,59,60,61,62,63,65,66,68,71,72,74,76,80,81,83,84,85,86,87,88,89,90,91,92,97,100,102,103,107,113}, {3,4,10,11,24,31,39,40,42,43,44,46,49,50,52,54,56,57,58,67,69,75,77,78,79,93,98,99,101,105,108,109,110,111,112,114}, {7,9,13,17,37,41,45,47,48,55,64,70,73,82,94,95,96,104,106}
1: {1,2,5,6,8,14,15,16,17,18,19,20,21,23,25,26,27,28,35,36,38,41,51,57,58,59,60,61,62,63,65,66,68,69,71,72,75,76,78,81,87,90,91,95,96,98,102,103,104,106,107,108,111,113}, {3,4,11,13,24,31,33,39,40,42,43,44,45,46,48,50,53,54,56,64,67,70,73,77,82,89,92,93,94,99,105,109,112}, {7,9,10,12,22,32,37,47,49,52,55,74,79,80,83,84,85,86,88,97,100,101,110,114}
1: {1,2,5,6,8,14,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,41,49,50,51,52,53,55,58,59,60,61,63,65,66,70,71,72,73,76,81,83,84,86,87,88,89,91,93,95,96,98,100,102,103,107,109,113}, {3,4,10,12,15,24,25,26,31,37,39,40,42,43,44,45,46,48,54,56,69,75,77,78,79,92,94,99,104,105,111,112}, {7,9,11,13,33,47,57,62,64,67,68,74,80,82,85,90,97,101,106,108,110,114}
1: {1,2,5,6,8,14,16,18,19,21,26,27,30,34,48,51,53}, {4,10,22,24,31,43,44,45,52,67}, {25,33,37,38,61}
1: {1,2,5,6,9,11,15,16,17,18,19,20,21,22,23,25,26,28,30,32,34,35,36,37,38,41,43,47,48,50,51,52,55,58,59,61,63,65,66,67,71,74,75,76,78,79,81,83,87,88,90,91,95,96,98,99,100,103,104,107,108,109,110,112,113}, {3,7,8,10,12,13,14,24,27,29,31,33,39,40,42,44,45,46,49,54,56,57,64,68,69,70,72,77,82,84,85,86,92,94,97,102,105,111,114}, {4,53,60,62,73,80,89,93,101,106}
1: {1,2,5,6,9,11,15,16,17,18,19,20,21,22,23,27,29,32,34,35,36,37,38,40,41,45,48,50,51,52,54,55,59,61,63,64,65,66,68,72,75,76,77,83,86,87,88,90,95,96,102,103,106,107,110,113}, {7,8,25,31,43,44,46,49,56,58,69,70,71,78,79,84,85,89,94,108,112,114}, {3,4,10,12,13,14,24,26,28,30,33,39,42,47,53,57,60,62,67,73,74,80,81,82,91,92,93,97,98,99,100,101,104,105,109,111}
1: {1,2,5,6,9,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,38,40,48,51,52,53,55,57,58,59,60,61,62,63,64,65,66,71,72,74,76,81,86,87,88,91,95,100,102,103,105,107,109,110,111}, {10,11,12,14,24,25,31,39,41,42,43,44,46,56,75,77,78,79,82,83,93,94,106,114}, {3,7,8,13,26,33,37,45,47,49,50,54,67,68,69,70,73,80,84,85,89,90,92,96,97,98,99,101,104,108,112,113}
1: {1,2,5,6,11,16,17,18,19,21,25,28,29,30,34,35,37,39,40,41,47,48,50,51,52,53,54,55,59,60,61,62,64,67,68,74,75,77,78,79,86,87,90,91,92,95,96,97,98,99,102,105,107,108,109,110,111,112,113}, {3,4,8,9,10,12,13,14,15,22,23,26,27,31,33,36,38,42,43,44,45,49,56,57,58,63,65,69,70,71,76,80,81,82,83,84,85,88,89,93,106}, {7,20,24,32,46,66,72,73,94,100,101,103,104,114}
1: {1,2,5,7,8,9,11,12,14,16,17,19,20,21,23,26,27,28,30,32,33,34,35,36,38,41,52,53,59,60,61,62,63,66,68,71,73,75,76,80,81,85,87,88,89,90,91,92,96,98,101,102,103,104,106,107,113}, {3,4,10,13,24,25,31,37,39,40,42,43,44,45,46,48,49,50,51,54,55,57,58,64,67,70,72,74,79,99,100,105,109,111,114}, {6,15,18,22,29,47,56,65,69,77,78,82,83,84,86,93,94,95,97,108,110,112}
1: {1,2,5,7,8,9,12,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,41,51,53,54,55,58,59,61,63,65,66,68,70,71,72,73,74,76,80,81,83,84,85,86,87,88,89,91,95,96,97,98,100,102,103,105,107,109,113}, {3,4,10,13,24,25,31,33,37,39,42,43,44,45,46,47,48,49,50,52,56,57,67,75,77,78,79,92,93,94,99,101,106,108,111,112}, {6,11,14,60,62,64,69,82,90,104,110,114}
1: {1,2,5,7,8,9,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,41,48,50,51,52,53,59,60,61,62,63,64,65,66,67,68,70,72,76,80,81,82,83,85,86,87,88,90,91,92,95,96,97,102,103,104,107,108,113}, {3,10,13,24,25,31,39,43,44,46,49,54,56,57,58,77,78,79,94,98,99,105,111,112,114}, {4,6,11,12,14,40,42,45,47,55,69,71,73,74,75,84,89,93,100,101,106,109,110}
1: {1,2,5,7,9,15,16,17}, 10, 6
1: {1,2,5,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,40,47,48,50,52,53,54,55,56,57,58,59,60,61,63,66,68,71,74,76,80,91,93,95,96,98,99,102,103,106,107,108,109,111,112,113,114}, {3,4,7,13,24,31,33,38,39,42,43,44,45,46,49,69,70,75,77,79,81,83,84,85,86,88,89,90,92,97,100,101,105,110}, {6,41,51,62,64,65,67,72,73,78,82,87,94,104}
1: {1,2,5,8,9,10,11,12,15,17,18,19,20,21,25,26,27,28,31,32,33,34,35,36,37,39,40,47,48,49,50,51,53,54,59,61,65,66,68,71,73,74,75,76,77,79,80,83,86,87,88,89,90,91,93,95,96,97,100,101,104,105,106,107,108,109,110,111,113}, {3,7,13,16,22,23,24,29,30,38,41,42,43,44,45,46,56,57,58,60,62,67,69,70,72,78,82,84,85,92,94,112,114}, {4,6,14,52,55,63,64,81,98,99,102,103}
1: {1,2,5,8,9,10,12,16,17,19,20,23,28,29,30,33,34,36,49,50,51,60,61,63,66,68}, {4,6,13,15,25,26,31,39,41,42,43,44,46,48,55,56,57,58,59,62,67,70}, {3,7,11,14,18,21,22,24,27,32,35,37,38,40,45,47,52,53,54,64,65,69}
1: {1,2,5,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,47,48,50,51,52,53,55,58,59,60,61,63,65,66,67,68,69,72,74,75,76,77,79,80,82,83,84,85,86,88,91,95,96,98,102,103,106,107,108,109,110,111,113,114}, {3,4,7,24,25,37,39,40,41,42,44,45,49,54,57,62,64,70,71,73,78,92,93,94,97,99,101,105}, {6,10,43,46,56,81,87,89,90,100,104,112}
1: {1,2,5,8,9,11,12,14,15,16,17,18,19,20,21,22,26,28,30,32,34,35,38}, {3,4,10,13,24,25,31,36,37}, {6,7,23,27,29,33}
1: {1,2,5,8,9,11,12,14,15,16,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,41,42,47,48,49,50,51,52,53,58,59,60,61,62,63,65,68,71,72,76,77,80,81,82,84,86,88,89,90,94,103,106,107,108,109,110,111,113}, {4,10,13,24,25,31,39,40,44,45,54,56,57,67,69,78,79,92,93,96}, {3,6,7,17,26,33,37,43,46,55,64,66,70,73,74,75,83,85,87,91,95,97,98,99,100,101,102,104,105,112,114}
1: {1,2,5,8,9,11,12,14,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,38,47,48,51,53,59,60,61,63,65,66,68,70,71,75,76,81,82,83,84,85,86,87,88,89,90,91,95,96,97,100,102,103,107,108,110,113}, {3,4,6,10,13,24,31,37,39,40,42,43,44,45,46,49,50,54,56,58,64,67,69,73,78,92,93,94,98,99,101,105,106,111,114}, {7,15,25,29,33,41,52,55,57,62,72,74,77,79,80,104,109,112}
1: {1,2,5,8,9,11,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,41,51,53,60,61,62,63,65,66,68,71,76,77,80,81,83,84,85,86,87,88,89,91,96,97,102,103,110,113}, {3,4,10,13,24,31,33,37,40,42,43,44,45,48,49,50,52,54,55,56,57,58,67,70,73,75,78,79,95,98,99,101,105,108,111,112,114}, {6,7,12,29,39,46,47,59,64,69,72,74,82,90,92,93,94,100,104,106,107,109}
1: {1,2,5,8,9,11,14,15,16,17,18,19,21,22,26,27,28,29,30,33,34,35,36,38,47,48,53,59,61,62,63,65,68,72,76,82,84,86,87,88,89,90,93,96,97,102,103,107,110,113}, {3,10,24,31,37,39,40,42,44,45,49,52,56,57,58,67,69,75,79,94,99,100,109,112,114}, {4,6,7,12,13,20,23,25,32,41,43,46,50,51,54,55,60,64,66,70,71,73,74,77,78,80,81,83,85,91,92,95,98,101,104,105,106,108,111}
1: {1,2,5,8,9,11,16,17,18,19,20,21,23,27,28,30,32,34,35,36,37,40,48,49,50,52,53,54,59,60,61,62,63,65,68,69,70,71,74,75,76,80,85,87,88,90,91,95,97,98,100,102,103,105,106,107,108,109,110,111,112,113}, {3,4,15,22,24,26,31,38,43,64,67,73,92,99}, {6,7,10,12,13,14,25,29,33,39,41,42,44,45,46,47,51,55,56,57,58,66,72,77,78,79,81,82,83,84,86,89,93,94,96,101,104,114}
1: {1,2,5,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,31,32,33,34,35,36,38,41,50,51,53,59,60,61,62,63,64,65,66,68,72,75,76,79,80,81,82,83,87,88,89,90,91,97,98,100,102,103,107,108,109,110,111,113}, {3,4,10,13,24,25,37,39,40,42,43,44,46,47,48,49,52,54,56,57,58,67,69,70,71,73,78,86,92,94,95,99,101,104,105,112}, {6,7,11,45,55,74,77,84,85,93,96,106,114}
1: {1,2,5,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,51,53,61,63,65,66,68,71,72,76,77,80,81,83,84,85,87,88,89,90,91,96,97,103,107,110,113}, {3,4,10,13,24,25,31,37,39,40,42,43,44,45,46,47,48,50,55,56,57,58,67,69,73,74,78,82,93,94,95,99,105,112,114}, {6,7,11,29,41,49,52,54,59,60,62,64,70,75,79,86,92,98,100,101,102,104,106,108,109,111}
1: {1,2,5,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,41,51,53,61,62,63,65,66,68,70,71,75,76,80,81,83,84,85,86,87,88,89,90,91,97,103,107,113}, {3,10,13,24,31,37,39,40,42,43,44,45,50,56,57,58,64,67,69,77,78,79,93,94,95,99,105,108,112,114}, {4,6,7,11,25,29,38,46,47,48,49,52,54,55,59,60,72,73,74,82,92,96,98,100,101,102,104,106,109,110,111}
1: {1,2,5,8,9,12,14,15,16,17,18,19,20,21,22,26,27,28,30,32,33,34,35,36,38,41,51,53,60,61,62,63,65,66,68,70,71,76,81,83,84,85,86,87,88,89,90,91,92,95,96,97,101,102,103,107,111}, {3,4,6,10,11,13,23,24,25,31,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,67,69,74,75,78,79,82,93,94,99,100,105,106,109,110,112,113,114}, {7,29,37,64,72,73,77,80,98,104,108}
1: {1,2,5,8,9,12,14,15,16,17,18,19,20,21,28,30,34,35,36,37,38,51,53,55,59,60,61,63,65,66,67,68,70,71,72,75,76,80,83,84,85,88,90,91,95,96,97,98,100,103,107,108,109,110,111}, {3,7,10,22,23,24,25,26,27,31,32,39,40,41,42,43,44,45,46,47,48,49,54,56,58,64,69,73,74,77,78,81,82,92,93,94,99,101,102,104,105,106,112,113}, {4,6,11,13,29,33,50,52,57,62,79,86,87,89,114}
1: {1,2,5,8,9,12,14,15,16,20,21,22,23,26,27,28,30,34,35,36,38,40,51,52,53,60,61,63,65,68,71,76,79,80,81,85,87,88,89,91,96,97,98,103,105,106,107,108,110,113}, {3,10,13,24,25,31,33,37,39,41,42,43,44,45,48,49,50,56,57,58,69,73,74,78,94,95,101,102,112}, {4,6,7,11,17,18,19,29,32,46,47,54,55,59,62,64,66,67,70,72,75,77,82,83,84,86,90,92,93,99,100,104,109,111,114}
1: {1,2,5,8,9,12,14,16,17,18,20,21,22,23,26,27,28,29,30,32,34,35,36,37,47,51,53,59,61,63,65,66,68,71,76,80,83,85,88,89,90,91,95,96,97,102,107,113}, {3,4,6,7,10,11,13,15,24,25,31,33,38,39,40,41,42,43,44,45,46,48,49,50,52,54,55,56,57,58,60,62,64,67,69,70,72,73,74,75,77,78,79,82,84,86,87,92,93,94,98,99,101,104,105,106,108,109,110,111,112,114}, {19,81,100,103}
1: {1,2,5,8,9,12,15,16,17,28,30,33,34,35,36,59,62,68,91}, {3,13,31,39,42,67,69,93,94}, {4,6,7,10,29,40,41,60,61,64,92}
1: {1,2,5,8,9,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,41,51,53,58,59,60,61,62,63,65,66,68,70,71,75,76,77,80,81,82,84,86,87,88,89,90,91,92,94,96,97,98,100,103,104,107,113}, {3,10,11,13,24,31,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,67,69,74,78,79,85,95,102,105,108,109,110,111,112,114}, {4,6,7,12,33,64,72,73,83,93,99,101,106}
1: {1,2,5,8,9,14,15,16,17,19,20,21,22,23,26,27,28,30,32,33,34,36,37,39,40,47,51,63,65,66,76,80,81,83,84,85,87,88,91,97,98,100,102,113}, {10,13,24,31,38,42,43,48,50,56,57,58,64,70,78,94,99,104,112,114}, {3,4,6,7,11,12,18,25,29,35,41,44,45,46,49,52,53,54,55,59,60,61,62,67,68,69,71,72,73,74,75,77,79,82,86,89,90,92,93,95,96,101,103,105,106,107,108,109,110,111}
1: {1,2,5,8,9,14,15,17,18,19,20,23,26,27,33,34,35,36,38,48,50,52,53,56,59,60,61,62,66,68,71,76,80,81,84,87,88,89,90,91,96,100,103,109,113}, {3,4,6,10,11,12,13,22,24,25,29,30,31,32,37,39,41,42,43,44,45,46,49,54,57,58,64,67,69,72,73,75,78,79,92,94,97,99,101,108,112}, {7,16,21,28,40,47,51,55,63,65,70,74,77,82,83,85,86,93,95,98,102,104,105,106,107,110,111,114}
1: {1,2,5,8,9,14,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,59,62,63,65,66,68,71,72,73,76,83,86,87,91,95,96,97,103,106,107,111,113}, {3,4,12,13,24,25,31,39,43,44,46,48,53,77,84,90,93,112}, {6,7,10,11,15,26,33,37,38,40,41,42,45,47,49,50,51,52,54,55,56,57,58,60,61,64,67,69,70,74,75,78,79,80,81,82,85,88,89,92,94,98,99,100,101,102,104,105,108,109,110,114}
1: {1,2,5,8,9,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,47,48,53,54,61,63,68,76,80,83,87,88,90,91,97,98,100,102,103,107,113}, {3,6,7,10,12,13,24,31,39,40,42,43,44,45,55,56,57,58,59,60,62,64,66,67,69,70,72,73,75,77,78,79,81,92,93,94,95,96,99,101,104,105,106,108,109,110,111,112,114}, {4,11,14,25,33,37,46,49,50,51,52,65,71,74,82,84,85,86,89}
1: {1,2,5,8,9,15,16,17,60,62,63,65,66,68,69,70,71}, {3,10,59,61,64,67}, {6,7}
1: {1,2,5,8,9,18,19,21,23,25,26,28,31,33,34,37,38,41,53,60,61,63,65,74,81,83,84,87,89,92,95,96,97,98,103,111,113}, {10,17,30,40,43,46,48,50,51,52,55,58,70,76,77,78,79,86,93,94,101,102,105,108,109,112,114}, {7,11,29,47,68,71,72,82,100}
1: {1,2,5,8,11,12,13,14,15,16,17,18,19,20,21,23,26,27,28,30,32,34,35,36,37,40,47,48,51,52,53,55,57,59,60,61,63,64,65,66,68,71,72,74,76,77,80,81,82,87,88,89,90,91,95,96,97,100,102,104,105,106,107,109,110,113}, {3,4,7,10,22,24,31,39,41,42,43,44,49,50,56,58,69,70,75,78,79,85,94,98,99,112,114}, {6,9,25,29,33,38,45,46,54,62,67,73,83,84,86,92,93,101,103,108,111}
1: {1,2,5,8,15,16,17,18,19,59,61,63,65,75,86}, {4,6,7,20,23,62,64,66,78,79,80,82,84,85}, {3,60,81,83}
1: {1,2,5,8,16,20,21}, {3,4,6,12,15,22,23}, 7
1: {1,2,5,8,19,20,26,27,34,35,36,44,45,46,52,53,55,57,58,59,60,65,66,71,73,74,76,87,88,90,91,100,105,107,108,110,111,113}, {12,23,24,32,37,43,89,109,112,114}, {10,15,25,99}
1: {1,2,5,9,17,19,22,27,32,33,37,44,45,48,51,54,57,59,66,74,81,88,93,95,96,108,113}, {14,31,42,49,50,56,58,70,73,77,84,87,94,102}, {10,18,47,79}
1: {1,2,5,11,16,19,23,28,29,34,35,45,47,50,52,53,59,60,61,62,64,65,66,69,98,102,105}, {13,49,54,57,58,70,71,77,78,94,100,111}, {24,37,74,87,97}
1: {1,2,5,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,35,36,38,53,59,61,65,68,74,76,77,80,83,86,87,88,91,98,103,105,107,110,113}, {3,10,11,13,24,29,31,33,39,42,43,44,45,46,48,50,52,55,56,57,58,67,69,72,73,75,78,93,95,111,112,114}, {4,6,34,37,40,41,47,49,51,54,60,62,66,70,71,79,81,84,85,89,90,94,99,100,101,102,104,106,108,109}
1: {1,2,5,16,17,18,19,20,21,59,60,61,76,107,108}, {3,4,15,22,62,67,69,77,82}, {6,23,68}
1: {1,2,6,7}, {3,5}, {}
1: {1,2,6,7,8,9,10,15,16,17,18,19,21,23,25,26,30,34,35,36,37,38,40,47,48,51,53,59,61,62,63,65,68,76,77,81,83,84,85,88,89,91,94,96,98,100,102,103,105,107,111,113}, {3,4,5,11,13,27,29,31,33,42,44,46,55,56,57,64,67,69,70,75,78,79,92,101,106,110,112,114}, {12,14,20,22,24,28,32,39,41,43,45,49,50,52,54,58,60,66,71,72,73,74,80,82,86,87,90,93,95,97,99,104,108,109}
1: {1,2,6,7,8,9,11,14,15,17,18,19,22,27,28,35,36,37,40,41,47,52,54,55,56,58,60,61,62,63,64,65,68,70,71,72,77,81,85,86,88,89,90,96,101,102,103,104,105,106,113}, {3,4,10,12,13,16,20,24,25,26,29,30,31,32,33,38,42,43,44,45,48,49,50,51,57,59,66,67,69,75,76,78,80,82,83,84,87,92,94,99,100,107,109,111,112,114}, {5,21,23,34,39,46,53,73,74,79,91,93,95,97,98,108,110}
1: {1,2,6,7,8,9,11,14,16,17,18,19,20,21,28,29,30,34,35,36,37,38,40,47,52,53,55,56,57,58,59,60,61,62,63,65,66,67,68,69,70,71,72,74,76,78,79,80,81,83,84,86,87,88,89,90,91,93,94,95,96,98,100,102,103,104,106,107,108,109,110,111,112,113}, {3,4,5,10,12,13,15,22,23,24,25,26,27,31,32,33,39,41,42,43,44,45,46,48,49,50,51,54,64,73,75,77,82,85,92,97,99,101,105,114}, {}
1: {1,2,6,7,8,9,11,14,16,17,19,20,27,28,29,30,31,32,33,34,35,36,38,41,47,51,53,59,60,61,62,63,65,66,68,69,71,72,74,75,81,83,84,86,87,88,89,90,91,92,94,95,96,97,98,102,103,104,106,107,109,112,113}, {3,4,5,10,13,24,37,39,40,42,43,44,45,46,48,49,50,52,54,56,57,64,67,70,73,76,77,78,79,85,93,99,105,108,110,111,114}, {12,15,18,21,22,23,25,26,55,58,80,82,100,101}
1: {1,2,6,7,8,9,11,14,16,18,19,20,21,22,23,24,26,27,28,30,32,34,35,36,37,38,41,47,51,59,60,61,63,65,66,68,71,72,73,75,76,77,79,80,81,83,84,85,86,87,88,89,90,91,93,96,97,98,99,101,102,104,106,108,109,113}, {3,4,5,10,12,13,29,31,39,40,42,44,46,48,49,50,52,54,55,56,57,58,64,67,69,74,78,82,95,100,105,107,111,112,114}, {15,17,25,33,43,45,53,62,70,92,94,103,110}
1: {1,2,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,34,35,36,38,41,47,51,53,59,60,61,62,63,64,65,66,68,71,72,75,76,77,80,81,83,86,87,88,89,90,91,92,97,98,102,103,108,109,110,111,113}, {3,10,13,24,29,31,37,39,40,42,43,44,45,46,49,50,54,55,56,57,58,67,69,70,73,74,78,94,95,96,101,105,112,114}, {4,5,11,33,48,52,79,82,84,85,93,99,100,104,106,107}
1: {1,2,6,7,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,34,35,36,37,41,47,51,53,60,62,63,65,68,71,72,76,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,102,103,107,111,113}, {3,4,5,10,13,24,31,39,40,42,43,44,45,46,48,49,50,54,55,56,57,58,59,61,67,74,78,79,94,98,105,106,108,109,110,112,114}, {11,25,29,32,33,38,52,64,66,69,70,73,75,77,92,93,99,100,101,104}
1: {1,2,6,7,8,9,14,15,16,17,20,23,25,27,30,32,34,35,37,38,43,50,51,53,59,60,63,65,66,67,74,78,80,81,83,84,88,89,90,91,94,95,100,102,108,110,112,113}, {3,4,10,12,13,22,24,28,31,33,36,39,40,41,42,44,45,46,47,48,49,54,55,56,57,58,61,64,72,75,79,82,86,92,101,105,106,111,114}, {5,18,21,62,68,69,85,87,93,104,107}
1: {1,2,6,7,8,9,17,18,23,27,28,29,41,59,60,61,62,71,74,77,83,86,91,95,96,106,107}, {24,40,52,73,78,99,108,109,110,113}, {11,58,100,104}
1: {1,2,6,8,9,10,11,12,13,14,15,16,17,18,20,21,23,24,25,26,27,28,29,32,33,34,35,36,38,39,44,47,48,49,50,52,53,54,56,58,59,60,61,63,64,65,66,68,75,76,77,78,79,80,81,82,83,84,85,86,90,91,93,95,97,98,102,103,106,107,108,109,110,111,112,113,114}, {3,4,5,22,31,51,69,70,71,94,96,99}, {7,19,30,37,40,41,42,43,45,46,55,57,62,67,72,73,74,87,88,89,92,100,101,104,105}
1: {1,2,6,8,9,10,11,12,15,16,17,18,19,21,23,25,27,28,29,30,33,34,35,36,38,41,45,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,65,66,68,71,72,74,75,76,77,78,79,80,81,82,84,86,87,90,91,93,95,96,97,98,100,102,103,104,107,108,109,110,111,112,114}, {4,5,7,13,14,20,22,24,26,31,32,37,39,40,42,43,44,46,51,58,64,67,69,70,73,83,88,89,92,94,99,101,105,113}, {3,85,106}
1: {1,2,6,8,9,10,11,13,14,15,16,17,18,19,20,21,26,27,28,29,30,32,34,35,36,37,40,45,47,48,49,50,52,53,54,55,57,58,59,61,63,65,66,67,68,72,75,76,77,81,82,83,84,85,87,90,95,96,98,100,102,103,104,105,106,107,108,109,113}, {4,5,7,12,24,31,33,38,39,41,43,44,51,69,70,71,73,79,80,86,88,89,92,93,111,112}, {3,22,23,25,42,46,56,60,62,64,74,78,91,94,97,99,101,110,114}
1: {1,2,6,8,9,10,12,13,14,15,16,17,18,19,21,22,23,26,30,32,35,36,37,38,47,48,50,51,52,59,60,61,63,64,65,72,75,76,77,80,81,83,87,90,91,96,97,98,100,102,103,107,108,109,110,113}, {3,4,5,7,11,20,24,25,27,29,31,33,39,40,42,43,44,45,46,49,54,55,56,57,58,62,66,67,68,69,70,71,73,74,78,79,82,84,85,86,88,89,92,93,94,95,99,101,104,105,111,112,114}, {}
1: {1,2,6,8,9,10,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,41,47,48,52,53,54,55,57,59,60,61,62,63,65,66,67,68,71,72,76,79,80,81,84,87,90,91,95,96,98,100,102,103,104,105,106,107,108,109,110,111,113}, {3,5,7,11,13,24,25,31,33,39,42,43,44,45,46,49,50,58,64,69,70,73,75,77,78,83,86,93,94,99,101,112,114}, {4,51,56,74,82,85,88,89,92,97}
1: {1,2,6,8,9,10,12,14,16,17,18,19,20,21,22,23,27,28,29,32,33,34,35,36,38,41,47,48,49,51,53,59,61,63,64,65,66,68,72,75,76,81,83,84,85,86,88,89,90,91,92,93,96,97,98,103,104,106,107,110,113}, {3,4,5,7,11,13,15,24,25,26,31,37,39,40,42,43,44,46,54,55,56,57,58,67,70,78,79,80,82,94,95,99,100,108,111,112,114}, {30,45,50,52,60,62,69,71,73,74,77,87,101,102,105,109}
1: {1,2,6,8,9,10,14,16,17,18,19,20,21,22,23,27,28,32,34,35,36,37,38,49,51,52,53,55,59,63,65,66,68,76,77,80,83,84,85,86,87,88,89,90,91,96,97,98,100,102,103,105,107,109,113}, {3,12,24,25,31,39,41,42,44,48,50,56,58,62,75,78,79,92,94,99,101,104,106,110,111,114}, {4,5,7,11,13,15,26,29,30,33,40,43,45,46,47,54,57,60,61,64,67,69,70,71,72,73,74,81,82,93,95,108,112}
1: {1,2,6,8,9,11,12,14,15,16,18,19,20,21,22,23,26,27,28,30,32,34,36,37,40,51,52,54,59,60,61,62,63,65,66,68,71,72,76,80,81,82,84,85,86,87,88,89,90,91,96,100,103,107,108,111,113}, {3,4,7,10,13,24,25,31,33,35,38,41,42,43,44,45,46,47,48,49,56,57,58,70,74,75,77,78,79,83,93,94,95,97,98,104,105,106,110,112,114}, {5,17,29,39,50,53,55,64,67,69,73,92,99,101,102,109}
1: {1,2,6,8,9,11,12,14,16,17,18,19,21,22,23,26,27,28,29,32,33,34,35,36,38,41,47,49,50,53,55,58,59,60,61,63,65,66,68,71,75,76,77,79,83,84,86,87,89,90,91,95,96,97,98,99,100,102,103,107,108,109,110,111,113}, {3,5,10,13,20,31,37,39,43,44,45,46,48,56,57,62,64,67,69,70,74,78,82,92,93,94,101,104,105,106,112,114}, {4,7,15,24,25,30,40,42,51,52,54,72,73,80,81,85,88}
1: {1,2,6,8,9,11,12,15,16,19,21,26,28,32,34,35,36,38,53,59,60,61,63,66,68,71,74,75,76,78,80,81,82,88,90,91,96,102,103,107,108,111,113}, {10,13,24,25,31,37,39,42,43,44,46,50,67,69,79,83,94,99,112}, {3,4,5,7,14,17,18,20,22,23,27,29,30,33,40,41,45,47,48,49,51,52,54,55,56,57,58,62,64,65,70,72,73,77,84,85,86,87,89,92,93,95,97,98,100,101,104,105,106,109,110,114}
1: {1,2,6,8,9,11,12,16,17,18,19,21,22,23,27,28,30,33,34,35,36,37,38,41,47,51,53,59,60,61,63,68,74,79,81,83,84,85,88,91,93,94,96,97,98,100,103,104,108,110,111,112,113}, {3,4,5,7,10,13,15,20,24,25,26,29,31,32,39,40,42,43,44,45,46,49,50,52,54,55,56,57,58,62,66,67,69,70,71,72,73,75,77,78,80,89,90,92,95,99,101,102,105,114}, {14,48,64,65,76,82,86,87,106,107,109}
1: {1,2,6,8,9,11,13,14,16,17,18,19,20,21,23,27,28,29,30,34,35,36,37,38,40,41,47,48,49,52,53,55,56,58,59,60,61,62,63,64,65,66,68,69,71,72,74,75,76,80,83,84,87,88,91,93,94,95,96,97,98,99,100,102,103,104,105,106,107,108,109,113}, {3,4,5,7,10,12,15,22,24,25,26,31,32,33,39,42,43,44,46,51,54,57,67,70,73,77,78,79,81,82,85,89,90,92,101,110,111,112,114}, {45,50,86}
1: {1,2,6,8,9,11,14,15,16,17,18,19,20,21,22,23,25,26,27,29,32,33,35,36,38,40,47,50,53,54,59,63,64,65,66,68,74,75,78,79,81,83,84,85,86,87,88,89,91,96,97,98,100,105,106,107,108,110,111,112,113}, {3,4,7,10,12,13,28,39,41,43,49,52,56,57,61,62,69,70,71,82,93,99,101,103,104,114}, {5,24,30,31,34,37,42,44,45,46,48,51,55,58,60,67,72,73,76,77,80,90,92,94,95,102,109}
1: {1,2,6,8,9,11,14,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,41,47,48,50,52,53,54,59,61,63,64,65,68,72,74,76,80,81,83,84,85,87,88,90,91,96,98,100,102,103,107,110,112,113}, {5,10,12,31,39,42,43,44,57,58,69,70,99,101,114}, {3,4,7,13,15,24,25,38,40,45,46,49,51,55,56,60,62,66,67,71,73,75,77,78,79,82,86,89,92,93,94,95,97,104,105,106,108,109,111}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,47,51,53,55,59,62,63,65,66,68,70,71,72,76,80,81,83,84,85,86,87,88,89,90,91,97,98,102,103,106,107}, {3,4,5,10,13,24,25,31,39,40,42,43,44,45,48,49,50,52,54,56,58,64,67,75,77,78,79,93,94,99,105,110,112,114}, {7,11,37,46,57,60,61,69,73,74,82,92,95,96,100,101,104,108,109,111,113}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,53,55,57,59,61,62,63,65,66,68,70,71,72,75,76,77,80,81,82,83,84,89,90,91,93,94,95,96,97,98,102,103,106,107,108,109,110,111,112,113}, {3,4,5,7,11,24,25,31,42,43,44,45,46,49,54,67,69,78,88,92,101,104}, {10,13,37,39,40,47,48,50,51,52,56,58,60,64,73,74,79,85,86,87,99,100,105,114}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,41,53,55,59,60,63,65,66,69,71,72,74,76,80,81,82,83,85,87,88,89,95,98,100,103,107,111,113}, {3,4,5,10,11,13,24,25,31,33,37,39,42,43,44,45,46,47,48,49,50,51,52,54,56,57,58,61,64,67,70,75,77,78,79,86,90,92,93,94,96,97,99,102,106,108,110,112,114}, {7,62,68,73,84,91,101,104,105,109}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,47,49,51,53,59,60,61,62,63,65,66,68,70,71,75,76,77,80,81,83,84,86,87,88,89,90,91,95,96,98,99,100,103,107,108,109,110,113}, {3,4,10,11,13,24,25,31,33,37,42,43,44,45,46,48,54,56,58,64,67,69,73,74,78,79,92,93,101,105,106,111,112,114}, {5,7,39,40,41,50,52,55,57,72,82,85,94,97,102,104}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,47,51,53,61,62,63,65,66,68,70,71,76,80,81,84,85,86,87,88,89,90,91,92,94,95,96,97,98,101,103,104,106,107,111,113}, {3,10,11,13,24,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,64,67,73,74,75,77,78,79,99,105,112,114}, {4,5,7,25,33,41,59,60,69,72,82,83,93,100,102,108,109,110}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,38,48,51,52,59,60,61,62,63,66,68,70,71,76,77,80,81,82,86,87,88,89,90,92,96,97,98,102,103,104,107,108,113}, {3,4,5,7,10,11,13,24,25,31,33,37,39,41,42,43,44,45,46,47,49,50,53,54,56,57,58,64,67,69,72,74,75,78,79,83,84,85,93,94,99,100,106,109,110,111,112,114}, {29,40,55,65,73,91,95,101,105}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,41,47,51,53,58,59,62,63,65,66,68,69,71,72,76,80,81,83,85,86,87,88,89,90,91,93,96,97,98,100,102,103,104,105,106,107,108,109,113}, {3,4,7,10,13,24,31,33,39,42,43,44,45,48,50,54,56,57,60,67,70,73,74,75,78,92,94,111,112,114}, {5,11,26,29,37,46,49,52,55,61,64,77,82,84,95,99,101}
1: {1,2,6,8,9,12,14,15,16,17,18,19,20,21,22,23,28,33,34,36,63,71,81,95,96,97,98,100,102,103,109,110}, {3,4,5,7,10,11,13,24,25,26,31,32,35,38,83,84,85,99,101,104}, {27,29,30,64,66,72,73,79,80,86}
1: {1,2,6,8,9,12,14,16,17,18,19,21,22,23,27,28,30,33,34,35,36,37,47,51,53,56,59,61,63,65,66,68,71,76,80,82,83,87,88,89,91,94,96,98,100,103,107,108,110,113}, {3,4,5,7,10,11,13,15,20,24,25,26,31,32,38,39,40,42,43,44,45,46,48,49,50,52,54,55,57,58,62,64,67,69,70,73,75,78,79,92,97,99,101,105,106,109,112,114}, {29,41,60,72,74,77,81,84,85,86,90,93,95,102,104,111}
1: {1,2,6,8,9,12,15,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,51,53,59,60,61,62,63,65,68,71,74,77,80,81,84,86,87,90,91,95,96,100,103,104,107,110,113}, {3,4,10,11,13,24,25,31,39,40,42,43,44,45,46,47,50,56,57,58,67,69,70,73,76,78,79,89,92,94,98,105,106,111,112,114}, {5,7,14,26,29,33,37,41,48,49,52,54,55,64,66,72,75,82,83,85,88,93,97,99,101,102,108,109}
1: {1,2,6,8,9,13,14,16,17,18,19,20,21,27,28,30,32,33,34,35,36,37,48,51,59,60,61,62,63,65,68,69,71,76,79,80,81,82,83,84,88,91,93,95,96,97,98,100,102,107,108,109,110,112,113}, {3,4,7,10,11,12,22,23,24,25,26,29,31,38,39,42,43,44,45,46,47,49,50,52,53,54,56,57,58,64,66,67,70,72,73,75,77,78,85,86,90,92,94,99,101,103,104,105,111,114}, {5,15,40,41,55,74,87,89,106}
1: {1,2,6,8,9,13,16,17,18,21,22,23,29,33,34,35,36,38,40,47,50,52,53,55,56,59,60,63,65,67,72,77,79,81,83,84,85,86,88,91,94,95,96,98,100,103,105,106,107,112,113}, {4,7,10,15,24,25,32,37,39,42,45,46,48,49,51,61,62,66,68,69,71,73,75,89,92,99,101,111}, {3,5,11,12,14,19,20,26,27,28,30,31,41,43,44,54,57,58,64,70,74,76,78,80,82,87,90,93,97,102,104,108,109,110,114}
1: {1,2,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,51,59,60,62,63,65,66,68,71,76,80,81,84,86,87,88,89,90,96,97,107}, {3,4,10,12,13,24,25,31,33,37,39,40,42,43,44,45,46,48,49,54,55,56,57,64,69,73,75,77,78,79,94,103,105,108}, {5,7,11,41,47,50,52,53,58,61,67,70,72,74,82,83,85,91,92,93,95,98,99,100,101,102,104,106,109,110,111,112,113,114}
1: {1,2,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,36,38,47,51,53,55,59,60,61,62,63,66,68,69,71,72,74,76,81,82,83,84,86,87,88,90,91,92,93,96,101,103,104,107,108,110,113}, {3,4,5,10,12,24,31,33,39,40,41,42,43,44,45,46,48,49,50,52,54,56,57,64,67,70,73,77,78,79,80,94,105,109,111,112,114}, {7,11,13,25,35,37,58,65,75,85,89,95,97,98,99,100,102,106}
1: {1,2,6,8,9,14,15,16,17,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,47,51,53,59,60,61,62,63,64,65,66,68,71,72,75,76,80,81,82,83,84,85,87,88,89,90,91,95,96,97,98,102,103,107,108,109,113}, {3,4,5,10,12,13,24,25,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,67,77,78,79,94,99,104,105,106,111,112,114}, {7,11,26,32,41,69,70,73,74,86,92,93,100,101,110}
1: {1,2,6,8,9,14,15,16,17,18,19,20,21,22,24,26,28,29,30,32,34,35,36,38,39,47,51,52,53,57,59,60,61,62,63,65,68,71,75,76,80,83,84,85,86,87,88,89,96,97,100,103,106,110,113}, {3,5,7,10,11,12,23,25,27,31,33,37,42,43,44,46,48,49,50,54,55,56,58,67,69,70,78,79,92,94,101,102,104,109,112,114}, {4,13,40,41,45,64,66,72,73,74,77,81,82,90,91,93,95,98,99,105,107,108,111}
1: {1,2,6,8,9,14,15,16,17,18,19,20,21,25,26,27,32,33,34,35,36,37,40,43,45,47,48,50,52,53,60,61,65,66,67,68,69,76,81,84,85,86,88,89,90,91,95,98,100,102,105,107,108,110,113}, {3,4,10,11,12,13,22,28,31,38,39,42,44,46,49,56,57,58,70,71,72,73,75,77,78,79,80,82,83,92,93,94,97,101,111,112,114}, {5,7,23,24,29,30,41,51,54,55,59,62,63,64,74,87,96,99,103,104,106,109}
1: {1,2,6,8,9,14,15,16,17,18,19,21,22,23,26,28,30,32,34,35,36,37,53,59,61,63,65,68,71,80,81,83,84,85,86,87,88,89,90,91,96,97,98,102,103,107,108,113}, {3,10,13,24,25,31,40,42,43,44,45,46,47,48,49,50,52,55,56,57,76,77,94,99,112,114}, {4,5,7,11,12,20,27,29,33,38,39,41,51,54,58,60,62,64,66,67,69,70,72,73,74,75,78,79,82,92,93,95,100,101,104,105,106,109,110,111}
1: {1,2,6,8,9,14,15,16,17,18,20,21,22,23,26,28,30,31,32,33,34,35,36,38,40,47,52,55,57,60,61,63,64,66,68,72,75,76,77,86,90,91,94,96,100,102,103,105,106,107,108,109,110,113}, {5,12,13,24,25,29,39,41,42,46,53,56,58,70,71,74,78,79,80,85,89,95,114}, {3,4,7,10,11,19,37,43,44,45,48,49,54,62,65,67,69,73,81,82,83,84,87,92,93,97,98,101,104,111,112}
1: {1,2,6,8,9,14,16,17,18,19,20,21,22,23,26,28,29,30,32,33,34,35,36,38,40,44,53,57,59,60,61,62,68,71,72,77,81,83,84,85,86,87,88,90,91,93,96,100,103,105}, {3,4,5,7,10,11,12,13,15,24,25,27,31,39,41,47,48,49,50,56,58,67,69,70,73,74,78,79,82,89,92,94,97,99,101,104}, {37,80,95,102}
1: {1,2,6,8,9,14,16,17,18,19,20,21,22,23,26,28,30,32,34,35,36,37,38,41,51,53,59,60,61,62,63,65,66,68,71,72,76,77,78,81,83,84,85,86,87,91,95,96,97,100,107,108,109,110,113}, {3,4,5,7,10,12,13,15,24,25,27,31,39,40,42,43,44,45,46,47,48,49,50,52,54,56,57,58,67,69,73,74,75,79,82,90,92,93,94,99,101,103,105,106,111,112,114}, {11,29,33,55,64,70,80,88,89,98,102,104}
1: {1,2,6,8,9,14,16,17,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,47,51,53,59,60,61,63,65,68,70,76,77,81,82,83,84,85,86,87,88,89,90,91,96,97,100,102,103,106,107,108,109,111,113}, {3,10,11,13,24,25,31,39,40,42,43,44,46,48,50,52,54,55,56,57,58,67,69,73,74,75,78,79,92,94,99,101,105,114}, {4,5,7,12,15,18,41,45,49,62,64,66,71,72,80,93,95,98,104,110,112}
1: {1,2,6,8,9,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,41,48,49,51,52,53,55,58,59,61,62,63,66,68,70,71,74,75,80,81,87,88,89,90,91,96,97,98,101,103,106,107,109,110,111,113,114}, {3,5,10,24,25,31,40,56,64,69,73,77,94,95,108,112}, {4,7,11,12,13,14,33,39,42,43,44,45,46,47,50,54,57,60,65,67,72,76,78,79,82,83,84,85,86,92,93,99,100,102,104,105}
1: {1,2,6,8,9,16,17,18,20,21,22,23,28,29,32,35,36,38,41}, {3,4,7,10,24,31,40,42,44}, {5,13,15,25,37,39,45,47,49,51,52,53}
1: {1,2,6,8,9,16,17,19,20,22,27,28,30,32,34,35,36,37,38,48,51,53,55,57,58,60,61,63,65,66,67,68,69,72,76,88,91,95,96,100,107,108,113}, {7,10,12,24,29,31,33,39,41,42,46,49,52,56,70,71,74,77,79,81,83,84,85,87,92,101,102,111,112}, {3,4,5,11,13,14,15,18,21,23,25,26,40,43,44,45,47,50,54,59,62,64,73,75,78,80,82,86,89,90,93,94,97,98,99,103,104,105,106,109,110,114}
1: {1,2,6,8,9,17,18,19,20,21,23,29,32,34,35,37,39,40,52,53,59,86,96,97,99,101,102,103,104,105,107,110,113}, {10,16,25,31,33,38,41,43,49,56,57,58,62,82,89,98,114}, {3,4,5,7,15,22,24,28,30,36,42,44,45,46,47,48,67,73,76,77,79,81,93,95,100,106,108,109,111,112}
1: {1,2,6,8,10,11,13,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,39,46,48,49,50,51,52,53,55,59,63,68,69,72,107,110}, {3,5,7,9,12,15,24,31,41,42,43,44,47,54,56,58,64,67,70,71}, {4,38,40,45,57}
1: {1,2,6,8,10,11,16,18,19,20,21,22,23,27,28,30,31,34,35,36,37,47,53,55,59,60,61,63,68,72,75,76,82,84,88,89,91,94,96,103,108,109,110,112,113}, {3,4,5,7,9,12,13,14,15,24,39,40,41,42,43,44,46,49,51,54,57,65,67,69,70,74,78,79,80,81,83,99,105,106,111}, {17,25,26,29,32,33,38,45,48,50,52,56,58,62,64,66,71,73,77,85,86,87,90,92,93,95,97,98,100,101,102,104,107,114}
1: {1,2,6,8,11,12,13,15,16,17,18,20,21,27,28,29,30,32,34,35,36,38,41,44,48,50,52,53,55,57,58,59,60,61,62,64,65,66,68,72,75,78,80,81,84,86,87,90,94,96,98,102,103,104,107,109,110,112,113}, {4,5,7,10,14,23,24,31,33,37,39,43,54,56,67,69,70,71,73,76,77,79,82,83,92,93,95,99,100,101,106,108,111}, {3,25,26,40,42,45,46,49,74,85,88,91,97,105,114}
1: {1,2,6,8,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,59,60,61,62,63,64,66,68,71,72,76,80,81,82,84,87,88,90,91,96,97,98,102,107,113}, {3,10,13,24,25,31,39,40,42,43,44,49,50,54,55,56,70,73,75,77,78,79,93,94,99,105,106,108,109,111,112,114}, {4,5,7,9,29,38,41,45,46,47,48,51,52,53,57,58,65,67,69,74,83,85,86,89,92,95,100,101,103,104,110}
1: {1,2,6,8,11,12,14,15,16,17,18,19,21,22,23,25,26,27,30,32,34,35,36,37,40,50,51,52,53,54,55,60,61,62,63,65,68,71,76,78,80,81,83,84,85,86,87,88,89,90,91,95,97,98,102,103,107,109,111,113}, {3,4,7,10,13,24,31,33,38,39,42,44,45,46,48,49,56,57,58,67,69,70,73,77,82,92,93,94,96,99,100,101,106,108,110,112,114}, {5,20,41,43,47,59,64,66,72,74,75,79,104,105}
1: {1,2,6,8,11,12,14,15,16,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,38,47,53,59,61,62,63,66,68,71,76,80,81,83,87,88,89,90,91,92,93,96,97,100,103,104,106,107,108,110,113}, {3,10,13,24,29,31,37,39,40,42,43,46,50,55,57,58,67,69,75,78,94,95,99,105,111}, {4,5,7,9,17,41,44,45,48,49,51,52,54,56,60,64,65,70,72,73,74,77,79,82,84,85,86,98,101,102,109,112,114}
1: {1,2,6,8,11,12,16,18,19,21,22,23,28,33,34,35,36,38,39,47,48,51,53,54,59,61,63,68,71,75,76,77,78,80,81,83,84,88,90,91,92,98,100,102,103,107,110,111,113}, {3,4,13,24,26,32,37,42,43,44,45,46,49,50,52,56,57,67,69,70,73,106}, {5,7,9,10,14,15,17,20,25,27,29,30,31,40,41,55,58,60,62,64,65,66,72,74,79,82,85,86,87,89,93,94,95,96,97,99,101,104,105,108,109,112,114}
1: {1,2,6,8,11,14,15,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,41,45,46,50,51,52,53,54,55,58,59,60,61,62,63,64,66,67,68,69,71,72,76,77,80,83,84,87,88,89,92,96,101,102,103,104,105,106,107,110,111}, {4,7,10,12,13,16,24,31,39,43,49,56,57,70,73,78,93,94,98,99,100}, {3,5,9,17,25,33,42,44,47,48,65,74,75,79,81,82,85,86,90,91,95,97,108,109,112,113,114}
1: {1,2,6,8,12,14,15,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,40,51,53,58,61,62,65,66,68,69,71,72,76,81,84,85,86,87,88,90,91,95,96,97,100,102,103,105,107,110,113}, {3,4,5,10,11,13,24,25,26,29,31,33,37,39,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,59,63,64,67,70,73,74,75,77,78,79,80,82,83,93,94,98,99,108,109,111,112,114}, {7,9,60,89,92,101,104,106}
1: {1,2,6,8,12,14,15,16,18,19,20,21,22,23,26,27,28,30,32,34,35,51,53,59,60,61,62,63,64,65,68,72,76,77,80,81,83,84,86,87,90,91,95,97,102,103,104,107,113}, {3,7,10,13,24,25,31,40,43,44,48,50,52,56,57,58,67,70,75,78,79,94,98,99,112,114}, {4,5,9,11,17,29,33,36,37,38,39,41,42,45,46,47,49,54,55,66,69,71,73,74,82,85,88,89,92,93,96,100,101,105,106,108,109,110,111}
1: {1,2,6,8,12,14,16,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,51,53,60,61,62,63,64,65,66,68,71,76,80,81,83,84,85,88,89,90,91,92,96,97,101,102,103,104,107,109,113}, {3,10,13,24,25,37,39,40,42,43,44,45,46,48,49,50,52,56,57,58,67,73,75,78,79,93,94,98,99,105,111,112,114}, {4,5,7,9,11,15,17,29,31,41,47,54,55,59,69,70,72,74,77,82,86,87,95,100,106,108,110}
1: {1,2,6,8,14,15,16,17,18,19,20,21,23,25,26,28,30,32,33,34,36,38,47,48,53,58,59,60,61,62,63,66,68,74,76,80,88,89,90,91,92,97,100,102,103,107,108,110}, {3,4,10,11,13,22,31,37,39,40,42,43,44,50,56,57,64,67,73,78,94,95,101,104,111,112}, {5,12,24,27,29,41,45,46,49,51,52,54,55,65,69,70,71,72,75,77,79,81,82,83,84,85,86,87,93,98,99,105,106,109,114}
1: {1,2,6,8,14,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,38,51,53,55,57,58,59,61,62,63,66,68,69,71,76,77,86,87,88,89,90,91,96,97,98,103,106,107,108,109,112,113}, {3,4,7,9,10,11,12,13,16,24,25,31,33,37,39,40,42,43,44,45,46,48,49,50,52,54,56,64,65,67,70,73,75,78,80,81,83,84,93,94,99,105,114}, {5,15,29,41,47,60,72,74,79,82,85,92,95,100,101,102,104,110,111}
1: {1,2,6,8,19,21,22,23,28,29,30,35,36,47,51,61,76,81,83,84,96,98,102,106,108,110}, {3,4,5,9,10,13,16,31,37,39,43,46,50,55,56,71,74,78,79,80,92}, {7,20,52,58,60,70,75,82,95,99,101,105,109,112}
1: {1,2,6,9,10,11,13,16,17,18,19,20,21,22,23,24,28,29,30,34,35,36,37,41,47,48,49,50,52,55,57,58,59,60,61,64,67,68,69,71,76,77,79,83,87,90,91,93,94,95,96,98,100,101,103,104,106,107,108,109,110,111,112,113,114}, {3,4,5,7,8,12,14,15,25,26,27,31,32,33,38,39,42,43,44,45,46,51,53,54,56,62,63,65,66,70,72,73,74,75,78,80,81,82,84,85,86,88,89,92,97,99,102,105}, 40
1: {1,2,6,9,11,14,15,16,17,18,19,20,21,23,24,28,29,30,32,34,35,36,38,41,47,49,51,52,55,60,62,63,65,66,68,71,72,76,81,86,87,88,90,91,97,98,100,102,103,104,106,107,113}, {3,4,5,10,12,25,31,33,37,39,40,42,43,44,45,48,56,57,58,59,67,69,73,77,78,79,82,84,85,94,99,105,108,109,114}, {7,8,13,22,26,27,46,50,53,54,64,70,74,83,89,101}
1: {1,2,6,9,11,14,16,17,18,19,21,22,25,28,34,35,36,38,41,52,55,57,58,59,61,65,68,81,83,88,91,93,94,95,98,100,103,105,107,108,109,110,111,112}, {3,12,15,20,23,26,29,31,33,39,42,49,54,60,62,64,69,70,71,76,77,79,82,89,92,101}, {4,5,7,8,10,13,24,27,30,32,37,40,43,44,45,46,47,48,50,51,53,56,63,66,67,72,73,74,75,78,80,84,85,86,87,90,96,97,99,102,104,106,113,114}
1: {1,2,6,9,11,14,19,21,22,23,26,28,29,30,33,34,35,36,38,41,49,53,59,60,61,63,65,68,70,72,77,80,87,88,91,96,97,98,100,102,103,106,107,108,109,110,111,113,114}, {3,4,10,12,13,15,16,20,24,25,27,31,32,37,39,40,42,43,44,45,46,48,50,51,56,58,62,64,67,69,71,73,75,76,78,79,82,83,86,92,93,94,99,101,105,112}, {5,7,8,17,18,47,52,54,55,57,66,74,81,84,85,89,90,95,104}
1: {1,2,6,9,11,14,61,65,68,71,72,74,76,80,81,87}, {5,10,12,13,59,67,69,70,75,77,78,79,83,85}, {60,62,66,82}
1: {1,2,6,9,59,60,61,66,76,106}, {3,56,78}, {4,7,43,52,75}
1: {1,2,6,11,14,16,17,18,19,20,21,23,28,29,30,33,34,35,36,38,41,45,50,51,52,53,55,57,58,59,61,63,66,71,74,75,76,86,87,88,89,90,91,94,95,97,98,100,103,106,107,110,111,112,113}, {3,4,5,7,9,10,12,15,22,24,25,26,27,31,32,37,39,40,42,43,44,46,47,48,49,54,56,62,64,65,67,69,70,72,73,77,78,79,80,81,82,83,84,85,92,93,96,99,101,102,104,105,108,109,114}, {8,13,60,68}
1: {1,2,6,12,18,27,28,40,51,57,59,68,69,71,73,74,75,88,96,102,108}, {7,15,26,70,78}, {3,9,14,44,45,48,61,67,82,104,106,112}
1: {1,2,6,13,16,17,18,19,20,21,22,23,26,27,28,32,33,34,35,36,37,38,39,41,47,48,49,50,51,52,53,55,56,59,61,63,64,67,71,72,75,77,86,87,90,91,96,98,102,103,106,107,108,109,110,111,113,114}, {3,4,7,10,14,15,24,25,30,31,40,42,43,44,45,54,57,58,60,62,65,69,70,74,76,78,79,82,84,97,99,100,105}, {5,8,9,11,12,29,46,66,68,73,80,81,83,85,88,89,92,93,94,95,101,104,112}
1: {1,2,6,13,17,18,19,20,21,23,24,28,29,34,35,36,37,40}, {4,5,7,11,12,14,16,22,25,26,27,30,31,33,38,39,41}, {3,8,9,10,15,32,42}
1: {1,2,6,18,19,30,35,36,40,49,50,55,60,66,80,81,83,86,90,102,106,108,109,110,112}, {4,12,15,31,41,42,56,73,84,85,104}, {3,43,54,71,98}
1: {1,2,6,28,30,35,36}, {3,29,40,42}, {4,37,38}
1: {1,2,6,28,32,36}, {15,33,54}, {}
1: {1,2,7,8,9,11,12,14,15,16,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,51,53,60,61,62,63,65,66,68,70,71,72,73,74,75,76,77,80,81,83,86,87,88,89,91,92,95,96,97,98,102,103,104,106,107,113}, {3,17,24,25,31,33,37,39,40,42,43,44,45,46,48,49,50,52,54,56,57,58,59,64,67,69,78,79,82,84,85,93,94,99,100,105,108,109,112,114}, {4,5,6,10,13,47,55,90,101,110,111}
1: {1,2,7,8,9,11,14,16,17,18,19,20,21,27,28,29,32,34,35,36,37,47,48,51,53,54,59,60,61,63,65,68,69,71,74,75,77,79,81,83,84,85,86,88,90,93,95,96,97,104,106,107,108,109,110,111,113}, {3,4,12,13,15,22,23,30,31,33,38,39,40,42,43,44,45,46,49,55,56,57,58,64,66,67,70,72,73,76,78,80,82,92,98,99,101,102,103,114}, {5,6,10,24,25,26,41,50,52,62,87,89,91,94,100,105,112}
1: {1,2,7,8,9,11,15,16,17,21,22,34,35,41,61,76,81,89,92,98,102,103}, {3,13,31,37,39,42,43,46,48,49,52,64,67,77,99,100}, {19,25,44,58,59,73,78,82,112}
1: {1,2,7,8,9,12,14,15,16,17,18,19,20,21,22,23,28,30,32,34,35,36,38,41,51,53,59,60,61,62,63,65,66,68,70,71,76,80,81,82,86,87,88,89,90,92,96,98,102,103,107,109,110}, {3,4,5,10,11,13,24,25,29,31,33,37,39,42,43,44,45,46,47,48,49,50,52,54,55,56,57,67,72,73,74,77,78,79,85,93,94,97,105,106,108,111,112,114}, {6,26,27,40,58,64,69,75,83,84,91,95,99,100,101,104,113}
1: {1,2,7,8,9,12,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,41,51,53,60,61,62,63,65,66,68,71,74,76,81,83,84,85,86,87,88,89,90,91,92,97,101,102,103,104,107}, {3,10,13,24,25,29,31,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,67,69,75,77,78,79,80,93,94,98,99,100,105,110,111,112,114}, {4,5,6,11,14,59,64,70,72,73,82,95,96,106,108,109,113}
1: {1,2,7,8,9,12,15,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,38,51,60,61,62,63,65,66,68,69,70,71,76,80,81,82,83,84,85,88,90,92,96,97,102,103,104,106,111,113}, {3,10,13,24,31,39,42,43,44,46,48,50,52,54,55,56,57,67,73,74,75,77,78,79,94,95,99,100,112,114}, {4,5,6,11,14,16,25,26,29,37,40,41,45,47,49,53,58,59,64,72,86,87,89,91,93,98,101,105,107,108,109,110}
1: {1,2,7,9,12,18,19,22,23,25,26,32,43,48,49,50,51,54,55,58,59,60,62,65,74,77,84,93,95,98,102,104,106,111,112,114}, {13,46,82,89,96}, {39,100}
1: {1,2,8,9,10,11,13,15,16,17,18,19,20,23,26,28,29,30,31,34,35,36,38,41,47,48,50,51,52,53,55,56,58,61,63,65,67,68,71,74,75,76,77,80,82,84,85,86,87,88,95,97,99,100,103,107,109,110,111,114}, {3,4,5,12,14,25,27,33,39,40,42,44,49,54,66,70,78,81,83,89,90,92,94,98,105,106,108,112}, {6,7,21,22,24,32,37,43,45,46,57,59,60,62,64,69,72,73,79,91,93,96,101,102,104,113}
1: {1,2,8,9,10,11,14,16,17,19,20,21,22,23,28,29,30,32,34,35,36,37,40,43,45,50,51,52,61,63,64,69,72,76,78,85,87,90,91,95,96,99,100,102,103,105,107,108,110,113}, {3,5,12,13,15,18,24,25,26,27,33,38,39,41,42,44,49,54,55,56,58,60,67,70,71,73,75,77,79,81,83,84,86,88,89,92,93,94,97,98,101,109,114}, {4,6,7,31,46,47,48,53,57,59,62,65,66,68,74,80,82,104,106,111,112}
1: {1,2,8,9,10,14,15,16,17,18,19,20,21,22,23,26,28,30,33,34,35,36,43,47,49,50,53,55,56,59,60,61,62,63,65,66,67,68,74,76,77,80,81,83,86,87,88,89,90,91,93,95,96,97,98,100,103,107,108,110,112}, {3,4,5,6,7,11,12,13,24,25,27,29,31,32,37,38,39,40,41,42,44,45,46,48,51,52,54,57,58,64,69,70,71,72,73,75,78,79,82,84,85,92,94,99,101,102,104,105,106,109,111,113,114}, {}
1: {1,2,8,9,10,19,21,22,23,26,27,32,34,35,37,40,47,50,53,56,59,60,61,65,66,71,77,78,84,91,93,95,96,99,100,101,102,104,107,108,113}, {3,4,5,6,11,12,13,14,15,16,17,18,20,24,25,29,30,31,33,36,38,39,41,42,43,44,45,46,48,49,51,52,54,55,57,58,62,64,67,69,70,73,75,79,81,82,83,85,87,88,89,92,98,103,105,106,110,111,114}, {7,28,63,68,72,74,76,80,86,90,94,97,109,112}
1: {1,2,8,9,11,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,54,61,62,63,65,66,68,71,74,77,80,81,82,84,85,86,87,88,89,91,96,97,102,103,106,107,108,113}, {3,4,5,7,10,13,24,31,37,39,42,44,48,49,50,56,58,64,67,69,70,75,95,98,99,100,105,109,112,114}, {6,25,40,43,45,46,47,52,55,57,59,60,72,73,76,78,79,83,90,92,93,94,101,104,110,111}
1: {1,2,8,9,11,12,14,16,17,18,19,20,21,22,23,28,29,30,32,34,35,36,37,38,41,53,54,56,58,59,61,62,63,65,66,68,71,74,76,80,82,83,85,86,87,88,90,91,98,100,102,103,106,107,108,109,110,111,113}, {3,5,10,13,15,24,26,27,31,33,39,42,43,44,45,46,47,49,50,55,57,64,67,69,70,72,75,77,78,79,92,93,94,99,101,112,114}, {4,6,7,25,40,48,51,52,60,73,81,84,89,95,96,97,104,105}
1: {1,2,8,9,11,12,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,41}, {3,5,7,10,13,24,25,31,38,42,54,58}, {4,6,14,29,39,40}
1: {1,2,8,9,11,12,16,17,18,19,20,21,22,23,28,29,30,32,34,35,36,45,51,52,53,59,60,61,62,63,65,66,68,72,76,81,83,86,87,90,91,95,96,100,102,103,107,109}, {3,4,13,14,24,31,44,46,56,58,70,71,74,75,77,79,84,93,94,98,99,110,112,113,114}, {5,6,7,10,15,25,26,27,33,37,38,39,40,41,42,43,47,48,49,50,54,55,57,64,67,69,73,78,80,82,85,88,89,92,97,101,104,105,106,108,111}
1: {1,2,8,9,11,13,14,15,17,18,20,21,22,23,26,27,28,29,30,32,34,35,36,37,40,41,42,45,46,50,51,52,53,54,55,57,58,59,64,66,67,68,69,72,74,75,76,80,82,85,86,87,88,90,91,92,95,98,99,101,103,104,106,107,109,111,113}, {3,4,7,10,12,24,25,31,38,39,43,44,47,48,49,56,60,61,70,71,77,78,79,84,93,94,96,97,100,102,112,114}, {5,6,62,63,65,73,81,83,105,108,110}
1: {1,2,8,9,11,14,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,47,52,53,55,59,60,61,62,63,66,67,68,72,73,76,78,80,81,82,86,88,90,91,92,93,94,95,96,97,98,100,103,104,105,107,108,109,113,114}, {3,4,5,6,10,12,13,15,24,25,31,33,39,40,41,42,43,44,45,46,48,49,51,54,56,64,69,70,71,75,77,79,84,87,99,111}, {7,50,57,58,65,74,83,85,89,101,102,106,110,112}
1: {1,2,8,9,11,14,16,17,18,19,20,21,22,23,26,27,28,30,33,34,35,36,51,53,59,61,63,65,70,71,74,76,80,81,83,84,85,86,87,88,89,91,96,100,103,113}, {3,4,7,10,12,13,24,25,31,37,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,66,67,73,75,78,79,92,93,94,95,99,101,105,111,112,114}, {5,6,15,29,32,38,39,41,47,60,62,64,68,69,72,77,82,90,97,98,102,104,106,107,108,109,110}
1: {1,2,8,9,11,14,16,17,18,19,20,21,22,23,27,28,29,30,32,33,34,36,37,41,51,53,55,57,60,62,66,68,71,72,74,76,80,81,83,84,85,86,87,88,90,91,92,95,96,98,100,103,107,108,109,113}, {3,6,10,13,25,31,39,42,43,44,56,64,70,73,79,94,99,101,104,111,112,114}, {4,5,7,12,15,24,26,35,38,40,45,46,47,48,49,50,52,54,58,59,61,63,65,67,69,75,77,78,82,89,93,97,102,105,106,110}
1: {1,2,8,9,11,14,16,17,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,40,47,51,52,53,55,59,60,61,63,65,66,68,70,76,79,81,83,84,87,88,89,90,91,96,102,103,105,107,108,112,113}, {3,7,10,12,13,24,25,26,31,37,41,42,44,45,46,50,56,57,69,78,93,99,101}, {4,5,6,15,32,39,43,48,49,54,58,62,64,67,71,72,73,74,75,77,80,82,85,86,92,94,95,97,98,100,104,106,109,110,111,114}
1: {1,2,8,9,11,14,16,17,18,19,20,21,22,23,29,30,32,34,35,36,38,47,50,52,53,55,57,59,61,63,65,66,68,71,74,75,76,80,81,83,84,85,87,88,89,91,93,94,95,96,98,103,108,110}, {3,4,5,6,7,12,13,15,24,25,26,31,33,37,39,40,44,45,46,48,51,54,56,58,67,69,70,72,73,77,79,82,86,97,99,102,105,112}, {10,27,28,41,42,43,49,60,62,64,78,90,92,100,101,104,106}
1: {1,2,8,9,11,14,16,17,18,19,20,21,23,26,27,28,30,32,33,34,35,36,38,47,49,50,51,59,61,62,63,65,66,68,69,70,71,74,76,77,80,81,83,87,88,89,90,91,92,97,98,103,104,109,111,113}, {3,4,6,10,24,25,29,31,39,41,42,43,44,45,46,54,57,72,75,78,79,82,93,94,99,106,107,110,114}, {5,7,12,13,15,22,37,40,48,52,53,55,56,58,60,64,67,73,84,85,86,95,96,100,101,102,105,108,112}
1: {1,2,8,9,11,14,18,19,21,34,37,40,51,55,57,61,63,65,69,74,81,88,90,93,94,95,96,98,100,106,107,108,109,113}, {3,7,10,12,15,17,20,22,23,24,25,26,27,29,30,31,32,33,36,38,39,41,42,43,44,45,46,48,50,56,58,60,62,64,66,67,68,70,71,72,75,78,79,80,83,85,87,91,92,97,101,102,104,105,110,111,112,114}, {4,5,6,13,16,28,35,47,49,52,53,54,59,73,76,77,82,84,86,89,99,103}
1: {1,2,8,9,12,14}, {3,4,5,10,11}, {6,7}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,37,39,41,47,53,59,60,62,63,65,66,68,71,72,74,75,76,77,80,81,82,83,84,85,86,88,89,90,91,96,97,98,102,103,107,108,110,112,113}, {3,4,10,11,13,24,31,38,42,43,44,45,46,49,50,56,57,58,61,64,69,70,73,78,79,99,105,106,111,114}, {5,6,7,40,48,51,52,54,55,67,87,92,93,94,95,100,101,104,109}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,61,62,63,65,68,71,76,80,81,83,84,85,86,87,88,89,90,91,92,96,103,104,107,113}, {3,10,13,24,25,31,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,67,69,70,74,78,79,93,94,98,99,105,108,110,111,112,114}, {4,5,6,7,11,59,60,64,66,72,73,75,77,82,95,97,100,101,102,106,109}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,34,35,36,38,41,47,51,53,59,60,61,62,68,71,74,76,80,81,82,83,84,85,86,87,88,89,91,96,97,98,102,103,107,108,109,113}, {3,4,6,10,13,24,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,64,67,70,75,77,78,79,93,94,95,104,105,110,111,112,114}, {5,7,11,25,32,33,63,65,66,69,72,73,90,92,99,100,101,106}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,37,38,41,47,51,61,63,65,68,69,70,71,75,76,81,83,86,87,88,90,95,96,97,103,107}, {3,4,7,10,13,24,31,42,43,44,45,46,48,49,50,56,57,67,78,79,93,94,99,111,112,114}, {5,6,11,25,29,39,40,52,53,54,55,58,59,60,62,64,66,72,73,74,77,80,82,84,85,89,91,92,98,100,101,102,104,105,106,108,109,110,113}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,27,28,33,34,35,36,38,47,51,53,59,62,63,65,66,68,70,72,74,76,80,81,83,84,86,87,88,89,90,91,96,97,102,103,107}, {3,4,10,11,13,24,25,31,37,39,42,43,44,45,46,48,49,55,56,57,58,67,73,105,112}, {5,6,7,26,29,30,32,40,41,50,52,54,60,61,64,69,71,75,77,78,79,82,85,92,93,94,95,98,99,100,101,104,106,108,109,110,111,113,114}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,23,28,29,32,33,34,36,37,38,47,51,53,59,60,61,62,63,65,66,68,71,73,76,82,86,89,91,95,100,102,107,111,113}, {3,4,10,13,24,44,56,67,78,93,96,101,103,114}, {5,6,25,30,39,40,41,45,46,49,52,54,64,69,70,72,74,75,79,80,87,92,99,104,105,106,108,109,110}
1: {1,2,8,9,12,14,15,16,17,18,19,20,21,22,26,27,28,29,30,32,34,35,36,37,40,51,53,60,62,63,65,66,68,70,72,74,76,80,81,84,87,88,90,91,95,97,102,103,104,105,107,110,113}, {3,4,5,10,11,13,23,24,31,33,39,42,43,44,46,48,49,50,56,57,58,59,61,67,71,73,77,78,79,82,83,85,89,92,93,94,96,98,99,101,106,109,111,112,114}, {6,7,25,38,41,45,47,52,54,55,64,69,75,86,100,108}
1: {1,2,8,9,12,14,15,16,18,19,27,28,30,31,32,33,34,37,51,68,71,76,86,87,88,89,91,97,100,103}, {3,4,5,7,10,13,39,40,41,42,43,44,45,46,47,48,49,50,52,54,56,59,66,67,70,74,75,77,78,79,85,92,93,94,98,99,101,104,105,106,108,110,111,112,114}, {6,11,17,26,29,35,36,38,53,55,57,58,60,61,62,63,64,65,69,72,73,80,81,82,83,84,90,95,96,102,107,109,113}
1: {1,2,8,9,12,15,16,17,20,21,22,23,26,28,32,34,36,40,51,58,60,61,62,63,64,65,66,72,76,84,86,88,90,91,93,96,109,113}, {4,6,10,11,13,24,25,31,42,43,44,45,46,47,48,49,50,52,56,57,59,67,75,77,78,85,94,110,112,114}, {3,5,7,14,18,19,27,29,30,33,35,37,38,39,41,53,54,55,83,92,95,97,98,107,108,111}
1: {1,2,8,9,12,16,18,19,20,22,23,27,28,29,30,33,34,35,36,37,38,47,48,52,53,59,61,63,65,75,76,80,83,85,86,88,89,90,91,96,98,103,107,108,112,113}, {3,4,10,11,13,39,40,42,43,46,49,50,51,56,62,69,70,71,72,92,95,99,105,114}, {5,6,7,14,15,17,21,24,25,26,31,32,41,44,45,54,55,57,58,60,64,66,67,68,73,74,77,78,79,81,82,84,87,93,94,97,100,101,102,104,106,109,110,111}
1: {1,2,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,41,51,53,60,62,63,65,68,71,74,76,80,81,83,84,85,86,87,88,89,90,91,97,102,103,104,107,113}, {3,10,13,24,25,31,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,61,64,67,69,70,75,77,78,93,99,101,105,111,112,114}, {4,5,6,7,11,12,37,47,59,66,72,73,79,82,92,94,95,96,98,100,106,108,109,110}
1: {1,2,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,37,47,51,55,59,60,61,63,64,66,68,73,76,79,81,83,86,88,90,91,95,96,97,98,103,105,107,108,110,111,113}, {3,4,5,7,10,11,12,13,24,25,29,31,39,40,41,43,44,45,46,48,49,53,54,56,57,58,67,69,70,71,74,75,77,78,80,84,85,92,94,99,106,112,114}, {6,33,38,42,50,52,62,65,72,82,87,89,93,100,101,102,104,109}
1: {1,2,8,9,14,15,16,17,18,19,20,21,22,26,27,28,30,32,33,34,35,36,38,40,47,51,52,59,61,62,63,65,66,68,71,76,81,86,87,88,91,97,98,101,102,103,104,107,108,113}, {3,4,5,10,11,13,24,25,31,37,39,42,43,44,45,46,56,57,58,60,64,67,69,73,75,77,78,79,94,96,99,105,110,111,112}, {6,7,12,23,29,41,48,49,50,53,54,55,70,72,74,80,82,83,84,85,89,90,92,93,95,100,106,109,114}
1: {1,2,8,9,14,15,16,18,19,20,22,23,26,27,29,32,33,34,35,36,37,41,42,44,47,48,50,51,53,59,60,61,62,63,64,65,66,68,69,72,75,76,77,82,83,85,90,91,96,101,102,103,104,107,111}, {3,4,5,10,11,12,13,24,31,38,45,46,49,55,57,70,71,73,81,84,88,94,99,100,106,109,112,114}, {6,7,17,21,25,28,30,39,40,43,52,54,56,58,67,74,78,79,80,86,87,89,92,93,95,97,98,105,108,110,113}
1: {1,2,8,9,14,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,37,41,47,48,50,52,55,56,59,60,61,62,63,65,66,68,70,71,72,75,76,80,81,82,84,87,88,91,95,96,98,99,100,103,104,107,113}, {4,5,7,10,13,24,27,31,33,38,39,42,43,45,51,53,57,64,67,69,77,78,79,83,92,94,101,105,111,112,114}, {3,6,11,12,15,25,40,44,46,49,54,58,73,74,85,86,89,90,93,97,102,106,108,109,110}
1: {1,2,8,9,14,16,17,18,19,20,21,22,23,27,28,29,30,32,34,36,37,41,47,51,53,55,59,61,63,65,68,72,76,81,84,85,87,88,89,90,91,93,95,97,100,103,104,106,107,113}, {3,10,13,24,31,38,39,40,42,43,44,45,46,49,50,54,56,57,58,62,64,67,70,78,79,92,94,99,101,112,114}, {4,5,6,7,11,12,15,25,26,33,35,48,52,60,66,69,71,73,74,75,77,80,82,83,86,96,98,102,105,108,109,110,111}
1: {1,2,8,9,14,16,17,18,19,20,21,23,25,26,27,28,29,32,34,35,36,37,41,47,53,55,59,60,61,63,65,68,72,74,76,81,83,84,88,90,91,94,96,97,100,107,108,110,113}, {3,4,6,7,10,11,12,13,15,22,24,30,31,33,38,39,40,42,43,44,45,48,49,50,51,52,56,57,58,67,69,70,71,73,75,77,78,79,80,82,85,89,93,95,99,102,105,106,111,112,114}, {5,46,54,62,64,66,86,87,92,98,101,103,104,109}
1: {1,2,8,9,14,16,17,18,19,20,23,25,28,29,30,34,35,36,37,38,47,48,51,53,59,60,61,63,66,68,69,70,71,76,85,86,88,89,90,91,95,96,98,100,103,108,113}, {3,4,5,10,12,13,15,24,26,27,31,39,40,42,43,44,45,46,50,54,56,57,58,64,72,74,78,79,82,83,84,87,92,97,99,102,105,111,112}, {6,7,11,21,22,32,33,41,49,52,55,62,65,67,73,75,77,80,81,93,94,101,104,106,107,109,110,114}
1: {1,2,8,9,14,16,17,18,19,21,22,23,26,27,28,30,34,35,36,38,41,47,53,59,60,61,63,65,68,71,74,76,80,81,82,83,84,85,87,88,89,90,91,95,96,97,98,100,103,104,107,108,113}, {3,4,10,13,24,29,31,39,40,42,43,44,45,46,48,49,50,51,52,56,57,64,67,69,75,77,78,92,99,101,105,112,114}, {5,6,7,11,12,15,20,25,32,33,37,54,55,58,62,66,70,72,73,79,86,93,94,102,106,109,110,111}
1: {1,2,8,9,14,16,17,18,20,21,22,23,28,30,33,34,35,36,38,39,41,49,51,52,53,55,58,59,60,61,62,63,65,66,67,68,70,71,72,73,74,76,77,79,80,82,87,88,90,91,94,98,100,103,104,107,108,109,111,112,113}, {3,4,5,6,11,12,13,15,24,25,26,27,29,31,32,37,40,42,43,44,45,46,48,54,56,57,64,75,78,83,84,85,96,97,99,101,106,110,114}, {7,10,19,47,50,69,81,86,89,92,93,95,102,105}
1: {1,2,8,9,14,16,17,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,38,40,48,53,54,56,58,59,60,61,65,68,69,71,74,75,76,79,80,86,87,88,91,93,96,98,102,103,106,107,113}, {3,4,5,6,7,10,12,13,15,24,31,39,42,43,44,45,47,49,50,51,52,57,63,67,70,73,77,78,82,83,84,85,90,92,97,105,111,112,114}, {11,18,37,41,46,55,62,64,66,72,81,89,94,95,99,100,101,104,108,109,110}
1: {1,2,8,9,14,16,17,19,20,21,22,23,26,29,30,32,33,34,35,36,37,39,49,51,52,53,57,59,60,61,64,65,66,68,72,76,80,81,82,87,91,95,96,98,100,103,104,107,113}, {5,10,12,13,24,25,31,38,45,47,56,63,70,75,78,79,83,85,99,106,112,114}, {3,4,6,7,11,15,18,27,28,40,41,42,43,44,46,48,50,54,55,58,62,67,69,71,73,74,77,84,86,88,89,90,92,93,94,97,101,102,105,108,109,110,111}
1: {1,2,8,9,14,17,18,19,21,23,26,27,28,30,32,34,35,36,37,38,51,53,61,62,63,65,67,68,71,72,75,76,77,81,83,85,87,88,90,91,94,95,96,98,100,103,107,108,109,110,112,113}, {7,13,24,29,31,33,39,42,43,44,46,48,49,56,57,58,59,64,69,70,78,82,102,114}, {3,4,5,6,10,11,12,15,16,20,22,25,40,41,45,47,50,52,54,55,60,66,73,74,79,80,84,86,89,92,93,97,99,101,104,105,106,111}
1: {1,2,8,9,14,21,34,49,51,55,60,65,69,79,80,83,88,89,95,103,107,109,110,113}, {12,15,24,25,27,33,39,42,48,53,64,67,71,77,84,101,105,111}, {6,43,44,45,47,59,66,74,75,78,87,94,104,108,114}
1: {1,2,8,9,15,16,17,18,19,20,21,22,23,28,29,30,32,34,35,36,41,47,51,54,59,60,61,62,66,68,69,71,72,73,75,76,80,84,87,90,91,95,97,99,100,102,103,107,109,114}, {3,5,7,10,13,25,39,42,44,46,48,49,53,55,56,57,67,70,77,79,81,83,85,92,93,94,104,110,111,112,113}, {4,6,11,12,14,24,26,27,31,33,37,38,40,43,45,50,52,58,63,64,65,74,78,82,86,88,89,96,98,101,105,106,108}
1: {1,2,8,9,16,17,18,19,20,22,27,31,33,34,35,36,37,43,44,47,50,51,52,54,59,61,65,66,68,74,75,76,77,83,84,85,89,100,107,112,113}, {3,4,5,11,12,13,14,15,23,25,26,28,30,32,39,42,46,48,49,53,56,57,62,64,69,70,71,73,78,79,80,82,87,92,96,98,99,101,102,103,104,106,110,111,114}, {6,7,10,21,24,29,38,40,41,45,55,58,60,63,67,72,81,86,88,90,91,93,94,95,97,105,108,109}
1: {1,2,8,9,16,17,18,19,21,22,23,30,35,36,38,41,47,53,63,71,74,77,79,83,85,86,87,88,90,91,96,100,102,103,104,108,110,113}, {3,4,7,12,29,33,37,39,40,42,43,44,46,48,49,56,69,70,81,93,95,105,112,114}, {5,6,14,20,34,45,50,52,55,57,60,61,62,65,66,67,68,72,73,75,76,78,80,82,89,94,99,101,106,107,109,111}
1: {1,2,8,9,16,17,18,19,21,23,27,28,29,30,32,34,35,36,38,41,51,59,61,63,66,68,69,71,76,80,83,84,85,88,89,91,93,96,98,103,106,108,112,113,114}, {3,4,5,10,12,13,14,15,20,22,24,25,26,31,37,40,42,43,44,45,47,48,50,52,53,54,56,57,62,64,67,70,78,79,82,87,92,95,97,99,105,110,111}, {6,7,11,33,39,46,49,55,58,60,72,73,77,81,86,94,100,101,102,104,107,109}
1: {1,2,8,9,16,17,18,21,22,23,52,59,68,70,76,80,88,96,97,103,111}, {3,10,13,15,31,37,45,46,48,49,56,64,75,99,101,102}, {6,12,20,27,29,32,40,41,54,55,57,58,66,72,73,77,81,82,83,85,86,87,92,93,100,105,114}
1: {1,2,8,9,16,18,19,20,21,22,23,25,26,27,28,29,30,32,35,36,37,53,61,63,66,68,71,72,76,79,80,81,85,90,91,92,93,96,98,102,103,104,108,113}, {3,10,12,13,24,31,39,40,42,43,46,48,49,50,54,57,62,65,67,69,75,82,84,94,95,100,105,109,112,114}, {4,5,6,7,11,14,15,17,33,34,38,41,44,45,47,51,52,55,56,58,59,60,64,70,73,74,77,78,83,86,87,88,89,97,99,101,106,107,110,111}
1: {1,2,8,10,11,14,15,16,18,19,20,21,22,23,26,28,29,30,32,34,35,36,38,47,59,61,62,63,65,66,68,71,72,73,76,81,83,84,86,87,88,90,100,102,103,107,111}, {3,13,25,27,31,37,39,42,43,44,45,67,77,78,82,94,98,112}, {4,5,6,7,9,12,17,24,33,40,41,46,48,49,50,51,52,53,54,55,56,57,58,60,64,69,70,74,75,79,80,85,89,91,92,93,95,96,97,99,101,104,105,106,108,109,110,113,114}
1: {1,2,8,10,16,19,20,21,22,23,27,28,30,35,36,37,47,48,51,54,67,74,105,107}, {7,11,12,25,31,33,38,41,44,45,49,100}, {3,4,5,6,9,15,17,18,26,29,34,42,43,50,53,62,64,72,77,88,109,110}
1: {1,2,8,11,12,13,16,17,18,19,20,21,22,27,34,35,36,38,47,50,51,52,53,55,58,60,61,63,64,65,66,69,72,75,76,79,80,81,83,86,87,88,89,90,95,96,98,100,102,103,108,113,114}, {4,24,25,31,33,39,43,49,56,67,68,70,71,85,92,101,104}, {3,5,6,7,10,14,15,26,28,29,32,37,40,41,42,44,45,46,48,54,57,59,62,73,74,77,78,82,84,91,93,97,99,105,106,107,109,110,111,112}
1: {1,2,8,11,15,20,21,29,32,33,35,48,51,53}, {3,5,9,31,36,43,44,50,52}, 24
1: {1,2,8,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,51,53,60,61,62,63,65,66,68,70,71,76,80,84,85,86,88,90,91,92,97,98,102,103,107}, {3,4,5,10,11,13,24,25,31,39,40,42,43,44,45,46,48,49,50,52,55,56,57,58,59,67,69,73,75,77,78,79,83,93,94,95,96,99,105,106,109,110,111,112,113,114}, {6,7,9,37,41,47,54,64,72,74,81,82,87,89,100,101,104,108}
1: {1,2,8,12,14,16,18,21,28,32,34,63,65,71,75,84,85,87,90,102,107}, {13,15,23,24,26,40,42,46,52,56,73,92,93,94,106}, {31,48,55,104}
1: {1,2,8,14,16,17,18,19,20,21,22,23,27,28,30,32,34,35,36,38,51,53,59,61,63,65,71,76,84,85,86,87,88,89,90,96,97,102,103,106,107,110,113}, {3,10,11,13,24,29,31,37,39,43,44,45,46,48,49,50,52,55,56,57,58,64,67,73,78,79,83,94,98,99,101,105,111,112,114}, {4,5,6,7,9,12,15,25,26,33,40,41,42,47,54,60,62,66,68,69,70,72,74,75,77,80,81,82,91,92,93,95,100,104,108,109}
1: {1,2,8,16,17,18,20,21,23,26,28,32,41,53,55,59,69,72,73,74,85,86,88,90,91,95,97,100,101,102,104,107,111}, {3,13,25,31,38,48,49,52,70,77,80,109,112}, {6,40,50,68,84}
1: {1,2,8,18}, {31,42,50,94}, {7,27,59,68}
1: {1,2,8,28,29}, {3,4,7,43,45}, 5
1: {1,2,9,11,13,14,16,17,18,19,25,59,60,61,63,68,75,76,77,79,82}, {12,24,67,69,70,81}, {4,15,62,64,65,66,78,80,83,84,85,86,88,89}
1: {1,2,9,11,14,16,17,18,19,21,33,34,35,51,52,53,57,75,82,88,96,98,109,112}, {4,7,13,24,43,79,99,101}, {8,31,60,62,73,87,111,113}
1: {1,2,9,11,16,17,18,19,22,23,25,26,27,28,33,35,36,37,38,61,74,76,81,84,88,90,91,96,98,102,103,104,106,107,108,109,110,111,112,113}, {5,10,13,14,15,20,24,30,39,42,45,62,69,70,79,80,82,99}, {41,46,51,52,73,86,93,100,101,105,114}
1: {1,2,9,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,47,53,56,59,61,62,63,65,66,68,71,75,76,77,81,86,87,90,92,95,98,102,104,107,108,109,110,113}, {3,4,13,24,25,31,39,42,44,49,52,57,67,69,70,78,79,83,94,100,105,111,112,114}, {5,6,7,8,10,11,12,14,33,37,40,41,43,45,46,48,50,51,54,55,58,60,64,72,73,74,80,82,84,85,88,89,91,93,96,97,99,101,103,106}
1: {1,2,9,15,16,19,22,26,35,36,38,39,40,51,53,60,61,62,63,65,66,68,70,71,72,74,76,81,83,84,85,86,87,89,91,92,95,96,97}, {3,4,7,10,37,43,44,45,46,49,55,56,57,58,59,64,67,69,75,77,78,79,93}, {73,80,82}
1: {1,2,9,16,17,19,21,27,28,30,36,41}, {13,25,40,43,46,48}, {7,29,33}
1: {1,2,9,33,60,63,66,72,76,77,80,83,86,87}, {3,4,10,31,32,44,45,67,69,75,84}, {64,68,70,78,79,81,82,85}
1: {1,2,9,35,38,59,68}, {49,79,105}, {37,75}
1: {1,2,11,13,14,15,16,17,19,20,21,26,28,30,32,34,37,38,41,47,49,52,55,57,59,61,62,64,65,66,68,72,74,75,76,77,80,83,86,87,88,90,91,95,96,97,98,101,103,104,106,107,108,109,113}, {3,4,5,10,22,23,25,27,31,33,35,39,42,43,44,48,50,51,56,60,67,70,71,73,78,79,82,93,94,100,110,111,112,114}, {6,7,8,9,12,18,24,29,36,40,45,46,53,54,58,63,69,81,84,85,89,92,99,102,105}
1: {1,2,15,16}, {3,4,6,10}, {}
1: {1,2,15,24,27,59,63,66,68}, {3,4,6,16,25,26,65,67,69,70,71}, {64,73}
1: {1,2,16,18,19,21,23,28,30,38,55,58}, {22,24,45,48}, {12,14}
1: {1,2,17,23,32,38,48,53}, {}, {3,13,24,33,56,57,58,71,93,102}
1: {1,2,21,22,34,36,37,53,57,61,62,94,101,113}, {7,13,24,38,41,44,49,71,79,80,105,108,114}, {72,81,89,90,104,111,112}
1: {1,2,28,30}, {}, {3,4,29}
1: {1,2,30,31,34,67,75,81,106}, {4,58,62,70,80,94,100,102,103,104,110}, {}
1: {1,2,41,80,93,96}, {3,39,43,45,48,78,92,95}, 60
1: {1,2,59,91}, {4,106}, {102,110}
1: {1,2,95,96,97}, {3,4,61}, {51,60,75,91}
1: {1,3,4,5,6,7,8,9,10,13,16,17,19,21}, {2,15,22,24}, {11,18}
1: {1,3,4,5,6,7,8,65,93,107}, {2,92}, {}
1: {1,3,4,5,6,7,10,13,17,18,19,21,22,23,34,35,36,37,40,43,44,45,50,51,52,55,59,60,62,69,74,76,77,78,86,87,91,97,98,100,102,105,107,110}, {2,8,9,12,14,15,16,20,24,27,30,31,32,33,39,41,42,49,53,56,57,58,64,65,66,67,68,70,71,72,73,79,80,81,82,83,84,85,88,89,92,94,96,101,106,108,111,112,114}, {11,25,26,28,29,38,46,47,48,54,61,63,75,90,93,95,99,103,104,109,113}
1: {1,3,4,5,6,8,9,13,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,37,40,50,51,52,57,59,60,61,64,66,67,68,69,76,77,80,81,82,86,88,95,100,103,107,109,113,114}, {7,10,12,24,25,29,31,42,43,44,46,49,56,63,65,70,71,78,87,94,98,102,104,111,112}, {2,11,14,15,33,38,39,41,45,47,48,53,54,55,58,62,72,73,74,75,79,83,84,85,89,90,91,92,93,96,97,99,101,105,106,108,110}
1: {1,3,4,5,6,8,9,14,15,16,17,18,19,20,21,23,25,26,27,28,29,30,32,34,36,37,40,47,49,51,52,53,54,55,59,60,61,64,65,69,72,73,74,76,80,81,83,84,85,88,89,90,91,95,96,97,98,100,102,105,107,108,113}, {10,13,24,31,38,39,42,56,57,58,62,70,71,77,92,94,112,114}, {2,7,11,12,22,33,35,41,43,44,45,46,48,50,63,66,67,68,75,78,79,82,86,87,93,99,101,103,104,106,109,110,111}
1: {1,3,4,5,6,8,10,11,13,16,17,18,19,20,21,22,23,27,28,29,32,36,37,39,40,43,44,45,46,48,49,50,51,52,55,57,58,59,60,64,67,69,72,73,74,77,78,91,92,95,97,98,99,101,103,104,105,107,108,109,110,113,114}, {2,7,12,14,15,25,26,30,33,34,38,53,56,61,62,63,65,68,70,71,75,80,81,82,83,84,85,86,87,88,89,93,94,96,102,106,111,112}, {9,24,31,35,41,42,47,54,66,76,79,90,100}
1: {1,3,4,5,6,9,10,11,12,13,17,18,19,20,21,24,29,31,32,34,35,36,37,39,40,42,43,44,45,46,47,48,50,52,54,55,56,57,58,59,60,61,64,66,69,72,73,74,75,77,78,86,87,90,91,92,95,96,98,99,100,101,103,104,105,107,108,110,111,112,114}, {7,8,14,15,16,22,23,26,27,30,33,41,49,51,62,63,65,67,70,71,76,80,81,82,83,84,85,89,94,106}, {2,25,28,38,53,68,79,88,93,97,102,109,113}
1: {1,3,4,5,6,9,10,11,13,14,17,18,19,20,21,24,27,28,29,34,35,36,37,38,40,41,43,45,46,47,49,50,52,54,55,56,57,58,59,60,61,62,63,64,66,67,72,73,74,75,77,78,80,91,93,94,95,96,98,99,100,102,103,104,105,106,107,108,109,110,112,113,114}, {8,12,16,22,23,26,30,31,32,33,42,51,65,69,70,71,76,79,82,83,84,85,86,87,89,92,97,101,111}, {2,7,15,25,39,44,48,53,68,81,88,90}
1: {1,3,4,5,8,9,19,23,31,37,41,45,48,50,51,52,60,61,64,66,67,70,76,77,80,81,82,83,91,94,95,100,104}, {2,10,13,14,15,16,17,20,22,24,26,27,29,30,32,36,38,42,47,53,56,58,59,63,65,68,71,72,75,78,79,87,88,89,90,96,97,103,106,111,112,114}, {6,7,11,12,18,21,25,28,33,34,35,39,40,43,44,46,49,54,55,57,62,69,73,74,84,85,86,92,93,98,99,101,102,105,107,108,109,110,113}
1: {1,3,4,5,10,11,13,14,18,19,20,21,27,30,32,34,36,37,39,40,42,43,44,45,46,47,50,51,52,55,57,61,63,67,68,69,74,77,79,91,93,95,98,99,100,101,103,105,106,107,108,109,110,112,113,114}, {2,7,8,9,12,15,16,17,24,26,31,33,38,49,53,58,60,62,65,66,70,71,76,78,82,83,84,85,86,87,88,89,90,92,96,97,102,104,111}, {6,22,23,25,28,29,35,41,48,54,56,59,64,72,73,75,80,81,94}
1: {1,3,4,6,7,9,10,11,15,16,17,19,20,21,24,25,27,28,29,30,32,34,35,37,39,40,41,42,44,45,46,48,49,50,51,52,58,59,60,61,62,64,66,67,68,72,74,75,77,78,81,86,87,89,90,91,92,95,96,99,101,102,103,104,105,106,108,112,113}, {2,5,8,12,13,14,18,22,23,26,31,33,36,38,43,47,53,54,55,56,57,63,65,69,70,71,76,79,80,82,83,84,85,88,93,94,97,98,100,107,111}, {73,109,110,114}
1: {1,3,4,6,8,16,31,35,36,38,40,53,55,58,59,60,87,90,98,103,104}, {2,12,13,15,26,45,46,48,49,67,72,75,77,81,92}, {7,10,14,68,89,93,97}
1: {1,3,4,6,10,11,13,16,18,19,20,24,28,29,32,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,64,66,67,73,74,75,76,77,78,79,90,91,92,95,97,98,101,103,104,105,107,109,110,111,113,114}, {12,14,15,22,23,27,30,33,41,51,62,63,65,68,70,71,81,83,84,85,86,87,88,89,93,96,100,106,112}, {2,5,7,8,9,17,21,25,26,31,38,58,61,69,72,80,82,94,99,102,108}
1: {1,3,4,6,10,11,13,17,19,22,23,29,31,34,35,37,39,40,43,44,45,46,47,48,50,51,52,54,55,57,58,59,61,64,66,67,73,74,75,78,79,90,91,93,95,96,98,99,101,103,105,106,107,108,109,110,111,112,113,114}, {2,5,7,12,14,15,16,20,24,25,26,27,28,30,32,33,36,38,41,42,49,53,56,60,62,63,65,68,69,70,71,72,76,77,80,81,82,83,84,85,87,88,89,92,97,100}, {8,9,18,21,86,94,102,104}
1: {1,3,4,6,10,11,18,19,20,23,28,29,34,37,40,43,44,45,47,48,49,50,51,52,54,55,56,57,59,60,61,64,66,67,68,69,72,73,74,75,76,77,78,82,84,87,91,92,95,96,98,99,100,105,107,108,110,112,113,114}, {5,7,12,14,15,16,22,24,25,31,33,41,42,46,53,62,63,65,70,71,79,80,85,86,88,89,93,101,102}, {2,8,9,13,17,21,26,27,30,32,35,36,38,39,58,81,83,90,94,97,103,104,106,109,111}
1: {1,3,4,6,16,18,27,29,35,36,37,45,46,47,48,51,52,59,64,68,91,95,100,103,107,111,113}, {2,9,10,14,42,49,50,56,71,72,73,75,85,93}, {7,54,57,58,65,74,77,79,81,84,92,97,110,112}
1: {1,3,4,8,9,10,11,13,17,19,20,21,27,29,31,34,36,37,40,43,44,45,46,47,50,51,52,55,57,58,59,60,61,66,67,68,73,75,76,77,78,79,91,93,94,95,96,99,100,101,102,104,105,107,109,110,111,112,113,114}, {2,5,6,7,12,14,15,16,22,23,24,26,28,30,32,33,35,38,41,42,49,53,56,62,63,64,65,69,70,71,72,74,80,81,82,83,84,85,86,87,88,89,90,92,98,103}, {18,25,39,48,54,97,106,108}
1: {1,3,4,8,9,11,17,18,19,21,23,27,30,31,32,34,35,37,39,40,44,45,47,48,52,54,55,56,57,60,61,65,67,68,72,73,74,76,77,78,81,85,88,91,95,98,99,100,103,108,109,112}, {6,7,10,12,13,15,20,22,25,26,28,33,36,38,42,49,51,58,62,64,66,69,70,75,89,92,96,101,102,104,110,113}, {2,5,14,16,24,29,41,43,46,50,53,59,63,71,79,80,82,83,84,86,87,90,93,94,97,105,106,107,111,114}
1: {1,3,4,9,10,11,12,13,14,15,16,17,19,20,23,26,28,29,30,32,34,35,36,38,41,42,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,76,77,81,82,87,90,91,92,93,95,96,97,98,104,106,107,108,109,110,111,112,113,114}, {2,5,6,18,21,24,25,31,39,40,51,53,70,73,78,79,85,88,89,99,100}, {7,8,22,27,33,37,43,74,75,80,83,84,86,94,101,102,103,105}
1: {1,3,4,9,10,11,13,14,16,17,18,19,20,21,22,23,28,31,32,34,35,37,40,42,43,44,45,46,48,49,50,52,55,56,57,58,59,60,61,64,66,67,68,77,79,81,82,87,90,91,94,95,104,105,107,108,109,110}, {5,7,8,12,41,51,62,65,69,70,71,73,74,75,78,83,84,85,89,97,98,102}, {2,6,15,24,25,26,27,29,30,33,36,38,39,47,53,54,63,72,76,80,86,88,92,93,96,99,100,101,103,106,111,112,113,114}
1: {1,3,4,9,10,29,49,50,51,59,61,66,67,68,69,76}, {42,43,48,64,70,72,74,75,77}, {2,40,47,60,62,63,65,71,73}
1: {1,3,4,9,11,21,25,26,27,31,36,37,38,40,41,45,46,49,50,51,52,57,59,60,81,84,100,105,107,113}, {5,10,12,13,14,15,24,28,29,30,39,42,43,53,54,56,58,62,65,66,70,71,72,74,75,76,87,88,89,97,98,99,109,114}, {6,23,32,33,34,35,44,80,90,95}
1: {1,3,4,59,61,62,63,72,73,74}, 2, 60
1: {1,3,5,6,7,8,9,10,11,13,18,19,20,21,27,30,34,35,36,37,39,40,43,44,45,46,47,49,50,51,52,54,55,57,58,59,61,63,64,65,66,67,68,69,70,72,75,77,78,79,81,86,87,88,90,91,93,94,95,96,99,100,101,102,104,105,106,107,108,109,110,112,113}, {2,4,12,14,15,17,22,23,32,33,38,41,42,48,53,56,62,71,74,80,82,83,84,85,89,92,97,98,103,114}, {16,24,25,26,28,29,31,60,73,76,111}
1: {1,3,5,6,7,8,9,11,14,16,17,18,19,21,23,26,27,28,29,30,32,33,34,36,37,40,48,51,53,54,59,60,61,62,63,65,66,67,68,69,71,72,74,76,77,78,79,80,81,82,83,84,86,88,90,91,93,95,96,98,100,102,103,105,106,107,108,109,113}, {2,4,10,12,15,22,24,31,35,38,39,41,42,43,44,45,46,47,49,50,52,55,56,58,64,70,73,75,85,87,92,99,101,104,114}, {13,20,25,57,89,94,97,110,111,112}
1: {1,3,5,6,7,9,10,11,13,14,15,18,19,20,23,29,32,34,35,36,39,40,42,43,44,45,46,47,48,50,52,54,55,57,58,59,60,62,64,66,67,68,69,72,73,74,75,77,78,79,80,87,90,91,92,95,96,98,99,101,104,105,107,109,110,111,113,114}, {4,8,12,16,24,27,28,30,31,33,41,49,53,56,61,63,65,70,71,81,82,83,84,85,86,88,89,93,94,97,100,106,108}, {2,17,21,22,25,26,37,38,51,76,102,103,112}
1: {1,3,5,6,8,9,10,11,13,14,16,17,18,19,21,22,23,34,35,36,37,40,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,61,63,65,67,69,72,74,79,83,84,85,91,95,96,98,100,105,106,107,109,112,113,114}, {7,12,24,30,31,33,38,39,41,42,51,62,64,70,71,77,81,86,87,88,89,92,101,103,104}, {2,4,15,20,25,26,27,28,29,32,60,66,68,73,75,76,78,80,82,90,93,94,97,99,102,108,110,111}
1: {1,3,5,6,8,9,10,11,13,15,17,18,19,20,21,22,23,25,26,27,28,29,32,34,35,36,37,40,44,45,46,47,48,49,51,52,53,54,55,57,58,59,60,61,62,63,64,66,72,74,78,81,82,83,84,87,88,90,91,92,95,96,98,100,101,102,103,104,105,107,108,109,111,112,113}, {14,24,30,31,39,41,43,56,67,68,69,70,71,73,75,76,77,79,80,89,93,94,106,110,114}, {2,4,7,12,16,33,38,42,50,65,85,86,97,99}
1: {1,3,5,6,8,9,10,11,13,15,17,18,19,20,21,22,23,26,27,28,29,30,32,34,36,37,40,42,43,44,45,46,48,50,51,52,53,54,55,57,59,60,61,64,65,66,67,68,72,76,78,83,84,86,87,91,92,95,96,99,100,101,102,104,105,106,107,109,110,113}, {2,4,7,12,14,16,24,25,31,33,38,39,41,47,49,56,58,69,70,71,75,77,79,80,81,82,85,88,89,93,94,97,103,108,111,112,114}, {35,62,63,73,74,90,98}
1: {1,3,5,6,8,9,10,11,13,17,18,19,20,21,23,24,25,28,29,36,37,42,43,44,45,47,48,49,52,54,56,57,58,59,61,63,64,68,69,72,74,75,77,82,87,91,94,95,96,103,104,105,107,109,110,111,112}, {2,4,7,12,14,15,16,22,26,27,30,32,38,40,41,46,50,51,53,55,62,65,66,67,70,71,73,76,78,79,80,81,83,85,88,89,92,97,99,100,101,114}, {31,33,34,35,39,60,84,86,90,93,98,102,106,108,113}
1: {1,3,5,6,8,9,10,13,14,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,40,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,63,65,66,67,74,76,77,80,81,82,83,87,88,90,91,93,95,96,98,100,101,103,104,105,107,108,113,114}, {2,4,7,11,12,15,16,24,25,26,31,33,38,39,41,42,56,62,68,69,70,71,73,75,78,79,84,85,89,92,94,97,99,102,106,111,112}, {60,61,64,72,86,109,110}
1: {1,3,5,6,8,9,10,13,18,19,23,27,28,34,35,36,37,40,43,44,45,46,47,48,50,51,52,53,54,55,57,59}, {4,12,14,15,16,17,22,26,30,31,38,41,42,49,56,58}, {2,7,11,20,21,24,25,29,32,33,39}
1: {1,3,5,6,8,10,11,12,13,15,17,18,19,20,21,23,26,27,29,32,33,34,35,36,37,38,41,49,50,51,52,54,59,61,63,64,65,67,68,70,73,74,76,77,83,84,85,87,91,93,95,96,98,100,103,104,108,110,111,112,113,114}, {7,14,24,30,31,39,40,42,44,55,56,71,75,79,92,99,101,102,105}, {2,4,9,16,22,25,28,43,45,46,47,48,53,57,58,60,62,66,69,72,78,80,81,82,86,88,89,90,94,97,106,107,109}
1: {1,3,5,6,9,10,11,13,14,17,18,19,20,23,27,28,30,32,34,36,37,39,40,45,46,47,49,51,52,53,54,55,57,58,59,61,63,64,66,67,68,69,70,73,74,75,77,81,84,85,88,90,91,92,95,98,100,101,102,105,107,109,110,112,113,114}, {2,7,12,15,21,29,31,42,48,56,65,72,76,83,89,104}, {4,8,16,22,24,25,26,33,35,38,41,43,44,50,60,62,71,78,79,80,82,86,87,93,94,96,97,99,103,106,108,111}
1: {1,3,5,8,9,14,16,17,19,21,23,29,32,34,37,40,41,43,45,46,47,48,49,50,52,53,55,60,62,64,66,68,73,74,75,80,87,91,92,95,97,98,101,102,104,105,107,109,110,113}, {10,11,12,15,20,22,24,25,27,30,38,39,51,56,58,63,65,70,71,78,79,84,89,93,106,111,112,114}, {2,4,6,7,13,18,26,28,31,33,35,36,42,44,54,57,59,61,67,69,72,76,77,81,82,83,85,86,88,90,94,96,99,100,103,108}
1: {1,3,6,7,8,9,10,11,13,14,16,17,18,19,20,21,22,24,27,28,29,32,34,46,52}, {2,4,5,12,15,23,25,43,44}, 26
1: {1,3,6,7,9}, {5,8}, {2,4}
1: {1,3,6,8,9,10,11,12,13,16,17,18,19,20,21,22,23,24,27,28,29,30,32,34,35,36,37,38,40,42,43,44,45,46,47,48,50,52,53,54,55,56,57,58,59,60,61,63,64,65,66,67,68,74,76,81,82,83,84,85,87,90,93,95,96,99,100,101,102,103,105,106,107,108,112,113,114}, {4,5,7,15,25,26,31,33,39,41,49,51,62,69,70,71,75,79,80,88,89,92,97,98,104,109}, {2,14,72,73,77,78,86,91,94,110,111}
1: {1,3,6,8,9,10,11,12,13,16,17,19,24,25,28,29,34,35,36,37,43,44,45,46,47,48,50,52,54,55,56,57,58,59,63,64,67,69,74,75,77,78,87,88,91,95,96,98,99,101,102,103,104,105,106,107,108,109,110,112,113}, {2,4,5,14,15,20,21,22,23,33,38,41,42,49,51,60,65,66,70,71,72,73,76,79,80,81,83,85,86,89,92,94,97,100,111}, {7,18,27,30,31,39,40,61,82,84,90,93}
1: {1,3,6,8,9,10,11,13,15,16,17,18,19,22,23,26,29,30,32,34,35,36,37,39,43,44,45,47,48,49,50,52,54,55,57,58,59,61,64,65,66,67,68,70,74,75,76,83,95,96,99,100,103,106,109,111,112,113}, {4,5,12,25,31,33,38,41,69,77,84,85,101,104}, {2,7,14,20,21,24,27,28,40,42,46,51,53,56,60,62,63,71,72,73,78,79,80,81,82,86,87,88,89,90,91,92,93,94,97,98,102,105,107,108,110,114}
1: {1,3,6,8,9,10,16,17,18,19,21,23,29,35,36,38,40,47,48,50,51,52,53,54,58,59,61,63,66,67,68,74,75,77,86,91,93,95,96,97,100,102,103,106,107,108,110,111,112,113,114}, {2,13,15,22,26,28,30,31,32,39,42,43,44,55,56,60,62,64,69,70,72,76,78,79,84,85,87,89,92,109}, {4,5,7,11,12,14,20,24,25,27,33,34,37,41,45,46,49,57,65,71,73,80,81,82,83,88,90,94,98,99,101,104,105}
1: {1,3,6,8,10,11,14,16,17,18,19,27,28,29,32,34,35,36,37,40,43,44,45,46,47,48,49,50,52,53,54,55,57,59,61,63,65,66,67,72,74,76,77,82,90,91,95,98,100,103,105,106,107,108,109,112,113,114}, {4,5,7,12,15,24,25,26,31,38,39,42,51,62,64,69,70,71,78,79,80,81,83,85,87,89,92,99,101,111}, {2,9,13,20,21,22,23,30,33,41,56,58,60,68,73,75,84,86,88,93,94,96,97,102,104,110}
1: {1,3,6,8,14,15,17,18,19,20,21,22,23,26,27,28,29,30,34,35,36,37,44,47,51,55,58,59,60,61,62,63,64,66,68,71,72,74,76,81,83,84,86,88,90,91,95,98,102,103,107,110,112,113,114}, {2,4,5,10,11,12,13,16,24,31,32,38,39,40,41,42,43,46,48,49,50,53,54,56,57,65,67,69,70,73,75,77,78,79,80,85,89,93,94,105,106,109,111}, {7,9,25,33,45,52,82,87,92,96,97,99,100,101,104,108}
1: {1,3,8,9,10,11,13,18,19,21,22,23,27,28,29,34,35,36,37,39,45,48,50,52,55,56,57,59,63,64,65,74,77,81,83,85,88,90,91,95,96,99,100,101,102,103,104,111,112,113}, {4,7,12,14,15,20,24,25,26,30,32,33,38,40,42,43,44,46,49,51,53,62,66,67,68,70,73,75,76,78,79,80,82,84,87,92,105,106}, {2,5,6,16,17,31,41,47,54,58,60,61,69,71,72,86,89,93,94,97,98,107,108,109,110,114}
1: {1,3,8,9,10,11,15,16,18,19,21,22,25,26,27,28,29,33,34,36,38,40,42,43,44,47,48,49,50,52,53,54,55,56,59,67,68,74,75,77,78,94,96,98,103,107,108,110,111,112,113}, {7,13,23,24,30,57,70,83,84,85,92,97,99}, {2,4,5,6,12,14,17,20,31,32,35,37,39,41,45,46,51,58,60,61,62,63,64,65,66,69,71,72,73,76,79,80,81,82,86,87,88,89,90,91,93,95,100,101,102,104,105,106,109,114}
1: {1,3,8,9,10,11,18,19,20,24,27,29,33,34,35,36,37,43,44,45,52,54,55,57,58,59,61,62,63,65,69,72,74,76,87,88,91,94,95,98,100,105,106,107,109,112,113,114}, {2,4,5,7,12,13,15,16,17,23,25,26,28,30,31,32,41,42,46,48,49,56,64,67,68,70,71,75,78,79,81,83,84,85,86,89,92,96,97,99}, {6,14,21,22,38,39,40,47,50,51,53,60,66,73,77,80,82,90,93,101,102,103,104,108,110,111}
1: {1,3,8,9,11,13,15,16,17,18,19,20,21,26,27,28,32,33,34,35,36,37,47,48,49,50,52,54,56,57,59,60,61,63,65,66,68,69,72,74,75,76,77,80,81,83,90,91,96,100,102,105,107,112,113}, {24,25,42,44,51,55,58,64,67,71,78,79,89,92,94,99,101,106,110,114}, {2,4,5,6,7,10,12,14,22,23,29,30,31,38,39,40,41,43,45,46,53,62,70,73,82,84,85,86,87,88,93,95,97,98,103,104,108,109,111}
1: {1,3,8,9,15,16,17,18,19,20,23,25,26,27,30,32,33,34,35,36,37,38,40,47,48,49,50,51,53,59,60,61,62,63,65,66,67,68,70,72,76,77,80,81,90,96,97,100,102,103,104,105,106,107,108,109,110,111,113}, {4,5,7,11,12,13,24,31,39,41,42,55,56,57,69,71,74,78,79,84,85,86,89,92,99,101,112,114}, {2,6,10,14,21,22,28,29,43,44,45,46,52,54,58,64,73,75,82,83,87,88,91,93,94,95,98}
1: {1,3,8,10,15,16,17,18,19,20,21,22,26,27,29,30,32,34,35,36,38,47,50,53,58,59,60,61,63,65,66,68,72,75,76,77,80,84,88,90,91,96,97,98,103,107,108,109,110,112,113}, {4,5,7,11,13,23,24,31,37,40,42,43,44,48,49,54,56,62,69,70,73,74,78,79,81,82,83,85,89,93,94,99,100,101,104,105,114}, {2,6,9,12,14,25,28,33,39,41,45,46,51,52,55,57,64,67,71,86,87,92,95,102,106,111}
1: {1,3,8,11,13,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,35,37,39,44,45,51,52,54,55,57,58,60,61,68,72,74,76,77,80,90,91,98,100,102,104,105,107,108,112,113}, {2,4,5,6,7,9,10,12,14,15,24,31,33,34,38,40,41,42,46,47,48,49,50,53,56,59,62,63,64,65,66,67,69,70,71,75,78,79,81,82,83,84,85,86,87,88,89,92,93,94,96,97,99,101,103,106,109,110,111,114}, {36,43,73,95}
1: {1,3,8,16,18}, {}, 5
1: {1,3,8,17,19,20,22,23,27,28,29,30,35,36,37,40,43,44,45,47,50,51,53,54,55,57,68,76,77,79,81,85,90,92,95,98,100,102,103,104,105,107,110,112,114}, {5,7,12,13,15,18,21,24,26,32,33,38,39,41,42,46,49,56,60,62,65,69,70,71,74,75,78,80,83,86,87,88,89,96,99,106,113}, {2,4,6,9,10,11,14,16,25,31,34,48,52,58,59,61,63,64,66,67,72,73,82,84,91,93,94,97,101,108,109,111}
1: {1,3,9,17,18,19,22,23,35,55,72,79,83,84,85,86,94,110,112,113}, {2,4,10,25,30,31,37,38,44,48,56,73,75,81,82,109,114}, {6,11,14,27,69,74,76,90,98,107,108,111}
1: {1,3,11,13,40,46,60,61,64,66,74,75,77,101}, {4,7,38,76,84,85}, {2,6,86}
1: {1,3,11,15,16,17,18,19,28,29,32,34,37,39,46,47,48,50,54,68,73,74,75,76,77,78,79,80,81,95,97,98,105,106,107,108,109,110,111,113}, {4,8,10,23,30,31,33,43,49,57,65,69,70,71,82,94,100,112,114}, {5,7,9,12,38,42,61,62,72,88,89,101}
1: {1,3,13,15,16,17,18,19,20,27,32,33,34,35,36,38,40,47,50,52,53,54,55,57,58,60,63,68,79,98,100,102,103,107,110,111}, {5,6,7,14,24,28,30,31,41,42,43,56,69,70,71,84,85,92,97,99,101,104}, {2,4,8,9,10,11,12,21,22,23,25,26,29,37,39,44,45,46,48,49,51,59,61,62,64,65,66,67,72,73,74,75,76,77,78,80,81,82,83,86,87,88,89,90,91,93,94,95,96,105,106,108,109,112,113,114}
1: {1,4,5,6,7,8,9,10,15,19,21,22,23,26,27,28,35,36,38,41,47,53,60,61,68,70,74,80,81,87,88,98,99,100,104,106,107,108,113}, {3,12,24,25,39,42,49,51,75,76,79,84,92,93,96}, {2,11,13,14,16,17,18,20,29,30,31,32,33,34,37,40,43,44,45,46,48,50,52,54,55,56,57,58,59,62,63,64,65,66,67,69,71,72,73,77,78,82,83,85,86,89,90,91,94,95,97,101,102,103,105,109,110,111,112,114}
1: {1,4,5,6,7,8,9,11,13,14,17,19,21,22,23,25,27,28,30,31,35,36,37,38,40,47,50,51,52,53,54,55,57,58,59,63,65,67,69,70,71,72,74,75,77,83,85,87,88,90,91,93,94,95,96,97,98,100,102,103,105,106,107,108,109,111,112,113,114}, {2,3,10,12,15,18,20,24,26,29,32,33,34,39,41,42,43,44,45,46,48,49,56,60,61,62,64,66,68,73,76,78,79,80,81,82,84,86,89,92,101,104,110}, {16,99}
1: {1,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,35,36,38,41,47,52,53,54,55,56,57,58,59,60,61,62,63,65,66,68,72,74,76,79,80,81,84,85,87,88,89,91,94,95,100,103,106,107,108,110,112,113,114}, {2,3,7,13,24,25,31,34,39,40,42,43,44,45,46,48,49,50,67,70,73,75,77,78,92,93,97,99,101,104}, {26,33,37,51,64,69,71,82,83,86,90,96,98,102,105,109,111}
1: {1,4,5,6,8,9,11,12,14,15,16,17,18,19,20,21,26,27,28,29,30,32,34,35,36,37,45,46,47,48,51,52,53,55,58,59,60,61,62,63,65,66,68,71,76,80,83,86,87,90,91,92,95,100,102,103,105,106,107,108,113}, {7,10,13,23,31,33,38,39,40,41,42,43,44,49,50,56,64,67,69,70,73,75,77,78,79,81,89,93,94,96,98,99,101,114}, {2,3,22,24,25,54,57,72,74,82,84,85,88,97,104,109,110,111,112}
1: {1,4,5,6,8,9,11,12,14,16,17,18,19,20,27,29,30,32,34,35,36,38,41,51,53,55,60,61,63,65,66,68,72,74,76,80,83,84,85,86,87,88,90,91,95,97,98,103,106,107,108,109,111,113}, {3,25,26,39,42,43,44,45,46,48,50,56,57,58,64,75,78,79,82,93,94,99,112}, {2,7,10,13,15,21,22,23,24,28,31,33,37,40,47,49,52,54,59,62,67,69,70,71,73,77,81,89,92,96,100,101,102,104,105,110,114}
1: {1,4,5,6,8,9,11,12,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,41,47,53,58,59,61,71,76,83,84,85,87,88,90,91,94,95,96,98,100,103,104,107,108,109,113}, {3,7,10,13,15,24,25,31,39,40,42,43,44,45,46,48,49,50,51,52,54,57,62,67,70,73,74,75,77,79,92,97,99,105,110,112,114}, {2,14,26,33,38,55,56,60,63,64,65,66,68,69,72,78,80,81,82,86,89,93,101,102,106,111}
1: {1,4,5,6,8,9,11,15,16,17,19,23,26,27,28,29,30,34,35,36,37,39,47,48,52,53,57,58,59,61,63,65,66,68,71,72,77,78,81,83,85,86,91,93,94,96,98,99,103,106,107,108,111,112,113}, {2,7,10,12,13,14,18,20,22,24,25,31,32,33,38,40,41,42,43,44,45,46,49,50,51,54,55,56,60,67,69,73,74,79,80,82,89,90,92,101,102,105,114}, {3,21,62,64,70,75,76,84,87,88,95,97,100,104,109,110}
1: {1,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,28,30,32,34,35,36,37,51,53,59,60,62,63,65,66,68,71,74,76,77,80,81,83,85,86,88,90,91,95,96,97,102,104,107,108,113}, {2,3,7,10,24,25,27,31,33,38,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,61,64,67,70,72,73,75,78,79,84,93,94,98,99,103,105,109,110,111,112,114}, {11,13,29,41,47,69,82,87,89,92,100,101,106}
1: {1,4,5,6,8,9,12,14,15,16,17,19,21,23,24,27,30,37,50,53,59,62,63,65,66,68,74,76,77,79,80,81,83,84,85,88,89,90,98,100,108,109,113}, {3,10,11,22,25,31,33,35,36,38,42,43,44,45,46,48,49,52,55,57,58,61,64,67,70,78,82,92,93,96,101,112}, {2,7,13,18,20,26,28,29,32,34,39,40,41,47,51,54,56,60,69,71,72,73,75,86,87,91,94,95,97,99,102,103,104,105,106,107,110,111,114}
1: {1,4,5,6,8,9,12,14,16,17,18,19,20,21,22,26,27,28,32,34,35,38,40,51,60,65,66,68,71,75,76,77,80,81,82,83,84,85,86,87,88,89,96,97,98,102,104,113}, {2,3,10,11,13,15,23,24,29,30,31,36,37,39,41,42,43,44,45,46,47,48,49,50,52,53,55,56,57,58,59,61,64,67,69,70,72,73,78,79,92,93,94,95,100,101,103,109,111,112,114}, {7,25,33,54,62,63,74,90,91,99,105,106,107,108,110}
1: {1,4,5,6,8,9,13,14,16,17,18,19,23,24,27,28,29,34,35,37,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,63,64,65,67,72,73,74,77,78,81,82,83,84,85,88,90,91,95,96,98,99,100,101,104,105,106,107,108,109,112,113,114}, {3,7,10,11,12,15,20,22,25,26,30,31,32,33,38,39,51,61,62,68,69,70,71,75,76,79,80,87,89,92,93,94,97,110}, {2,21,36,66,86,102,103,111}
1: {1,4,5,6,8,9,14,15,16,17,19,21,22,23,27,28,30,36,38,40,51,59,72,76,82,86,87,90,91,102,103,110,113}, {3,10,31,42,43,44,67,78,79,93,94,111,112,114}, {7,11,13,24,49,58,60,70,71,80,83,84,89,95,96,98,101,108}
1: {1,4,5,6,8,9,14,16,17,18,19,21,22,23,28,34,35,36,37,40,53,59,60,61,62,63,65,66,68,69,71,74,76,80,81,82,84,88,90,91,95,96,97,98,100,102,103,104,107,113}, {2,3,7,10,11,12,13,15,20,24,25,26,27,29,30,31,33,38,39,41,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,64,67,70,72,73,75,77,79,85,89,92,93,99,101,105,106,111,112,114}, {32,47,78,83,86,87,94,108,109,110}
1: {1,4,5,6,8,9,15,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,37,41,49,51,58,60,61,62,63,65,66,69,70,71,74,76,77,80,81,83,85,86,87,88,89,91,92,93,95,97,99,102,107,108,112,113}, {7,10,12,13,14,24,25,31,33,38,39,42,43,44,45,46,47,48,50,52,54,55,57,59,64,67,73,75,78,79,82,94,96,98,101,103,111,114}, {2,3,11,16,29,40,53,56,68,72,84,90,100,104,105,106,109,110}
1: {1,4,5,6,8,9,35,36,37}, {2,3,13}, {7,10,11,14,43,45,49,50}
1: {1,4,5,6,9,11,12,17,18,19,20,23,28,34,35,37,47,50,51,52,53,55,60,61,63,65,67,68,78,83,84,87,90,91,95,96,100,102,103,104,107,108,109,111}, {10,13,14,15,24,25,27,33,44,45,54,56,69,70,73,79,82,105,112}, {3,7,8,16,21,22,26,29,31,32,36,38,39,40,41,42,43,46,48,49,57,62,64,66,71,72,74,75,77,80,81,85,86,88,89,92,93,94,99,101,106,110,113}
1: {1,4,5,7,8,11,14,18,19,21,23,25,27,34,35,36,37,40,43,45,47,48,49,50,52,53,54,55,58,59,60,62,63,66,67,68,69,72,73,74,78,81,87,90,91,93,95,96,98,99,100,105,107,108,109,110,111,113,114}, {2,3,10,12,13,15,22,26,29,31,32,33,38,39,41,42,44,46,51,56,61,64,70,71,75,76,77,79,83,84,85,88,92,97,101,104,106}, {6,9,16,17,20,24,28,30,57,65,80,82,86,89,94,102,103,112}
1: {1,4,5,8,9,10,11,13,14,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,40,45,47,48,49,50,52,53,54,55,56,57,58,59,60,61,65,66,67,69,72,73,76,80,82,83,87,89,91,92,94,95,98,99,101,102,103,104,105,106,107,108,109,113}, {2,3,7,12,15,24,25,26,31,33,38,41,42,43,44,46,51,63,68,70,71,75,77,78,81,84,85,86,88,90,96,97,100,110,112,114}, {6,39,62,64,74,79,93,111}
1: {1,4,5,8,9,10,12,14,15,16,17,18,19,21,25,26,27,28,30,33,34,35,36,38,41,47,48,53,59,60,61,62,63,65,66,68,69,76,77,81,83,84,85,87,89,90,96,97,102,103,104,107,111,113}, {7,11,13,22,37,40,42,43,44,46,49,50,51,52,55,56,58,64,67,70,71,74,75,78,79,92,93,94,99,100,101,105,106,108,112}, {2,3,6,20,23,24,29,31,32,39,45,54,57,72,73,80,82,86,88,91,95,98,109,110,114}
1: {1,4,5,8,9,10,13,14,16,17,18,19,20,21,24,27,28,29,31,34,35,36,37,39,40,44,47,48,50,51,52,53,54,55,59,61,63,64,66,67,68,72,73,74,75,76,77,79,87,89,90,91,92,95,96,97,99,101,102,103,104,106,107,108,109,110,112,113,114}, {11,15,23,26,30,33,38,41,42,56,58,69,70,71,80,81,82,83,85,98}, {2,3,6,7,12,22,25,32,43,45,46,49,57,60,62,65,78,84,86,88,93,94,100,105,111}
1: {1,4,5,8,9,10,13,14,16,18,19,21,22,23,27,28,34,36,37,46,50,51,52,53,55,60,61,65,67,71,90,91,93,94,95,96,100,102,107,112,113}, {2,3,6,12,15,24,26,30,32,33,38,39,42,43,44,47,49,56,62,70,72,75,76,78,79,82,84,87,89,99,106,111,114}, {7,11,17,20,25,29,31,35,40,41,45,48,54,57,58,59,63,64,66,68,69,73,74,77,80,81,83,85,86,88,92,97,98,101,103,104,105,108,109,110}
1: {1,4,5,8,9,11,12,14,15,16,17,18,19,20,21,22,26,27,28,29,30,32,33,34,35,36,37,38,40,41,42,43,45,46,47,48,51,52,53,54,55,56,57,58,59,61,62,63,64,66,67,68,72,74,76,77,79,80,81,87,88,90,91,96,97,98,100,102,103,105,107,108,110,111,112,113}, {2,3,7,10,13,23,24,31,39,44,49,69,70,71,73,75,78,82,83,89,92,99,101,104,114}, {6,25,50,60,65,84,85,86,93,94,95,106,109}
1: {1,4,5,8,9,13,23,25,33,35,37,50,56,57,65,71,78,81,82,83,88,89,90,93,94,96,98,100,106,108,109,111,113}, {2,3,6,10,12,15,16,17,19,20,21,22,24,26,28,29,30,32,34,38,39,41,42,43,44,45,46,51,58,62,63,64,67,69,72,73,74,75,76,79,80,86,87,92,95,97,99,101,104,107,114}, {7,11,14,18,27,31,36,40,47,48,49,52,53,54,55,59,60,61,66,68,70,77,84,85,91,102,103,105,110,112}
1: {1,4,5,8,9,14,17,18,20,21,22,23,27,28,34,35,36,37,38,40,45,50,51,52,55,59,60,63,65,67,68,71,73,76,77,81,84,85,91,96,100,103,104,107,108,109,113,114}, {2,3,6,10,11,12,15,16,19,24,25,26,29,30,31,32,33,39,41,42,43,44,46,47,48,49,53,54,56,57,58,61,62,64,69,70,72,74,75,78,79,82,87,92,97,98,99,101,102,106,110,111,112}, {7,13,66,80,83,86,88,89,90,93,94,95,105}
1: {1,4,5,8,9,15,16,18,19,20,21,22,23,26,27,28,33,34,35,36,37,45,48,50,51,52,53,55,56,57,59,61,63,65,71,72,73,74,76,80,81,84,86,88,90,91,95,96,97,100,103,106,107,109,113}, {3,7,10,12,17,24,25,29,31,38,39,41,42,43,44,47,49,60,62,64,66,67,69,70,75,77,78,79,83,85,92,93,94,99,101,110,111}, {2,6,11,13,14,30,32,40,46,54,58,68,82,87,89,98,102,104,105,108,112,114}
1: {1,4,5,8,9,16,17,18,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,40,49,51,52,53,55,58,59,60,61,63,70,71,74,76,77,79,83,84,86,87,88,89,90,91,93,96,97,100,102,103,105,106,107,108,109,113}, {3,6,10,11,12,13,24,25,31,39,42,43,44,45,46,47,48,56,57,64,66,67,69,73,75,78,81,82,92,99,101,104,110,111,112}, {2,7,14,15,19,41,50,54,62,65,68,72,80,85,94,95,98,114}
1: {1,4,5,8,9,18,19,23,29,34,35,36,37,40,50,51,52,55,59,60,61,65,66,67,81,85,90,91,93,94,95,96,98,100,103,105,107,109}, {2,7,10,12,13,15,16,17,20,22,24,25,26,27,28,30,32,33,38,39,41,42,45,46,47,48,49,53,56,57,58,62,63,69,70,71,72,73,75,76,78,79,82,86,88,89,97,99,102,104,108,110,111,113,114}, {3,21,31,43,44,54,64,68,74,77,80,83,84,87,92,101,112}
1: {1,4,5,8,11,14,18,23,27,28,34,36,38,47,53,60,62,63,65,72,81,83,84,86,89,91,96,98,100,103,106,109,110,113}, {2,3,10,12,13,15,24,25,41,42,43,44,45,49,50,57,58,61,67,73,77,93,97,99,102,104,105}, {6,7,9,17,20,21,22,26,29,30,31,32,33,35,37,39,40,46,48,51,52,54,56,64,80,85,92,107,111,114}
1: {1,4,5,9,11,14,16,18,19,21,22,23,26,27,28,29,30,32,33,34,35,36,37,40,41,51,52,53,55,59,60,61,63,66,67,76,77,82,84,85,88,90,91,96,100,102,103,107,113}, {2,3,10,12,17,24,31,38,42,43,44,45,46,48,49,56,57,64,70,75,79,80,83,89,92,99,106,108,109,110,111,112,114}, {6,7,8,13,15,20,25,39,47,50,54,58,62,65,68,69,71,72,73,74,78,81,86,87,93,94,95,97,98,101,104,105}
1: {1,4,5,11,16,17,19,27,34,35,36,37,39,40,51,58,59,60,61,63,66,68,69,74,86,90,91,92,93,95,96,98,102,105,107,108,109,111}, {8,9,12,15,26,28,32,33,42,44,49,56,57,65,70,83,84,85}, {2,3,6,7,10,13,14,18,20,21,22,23,24,25,29,30,31,38,41,43,45,46,47,48,50,52,53,54,55,62,64,67,71,72,73,75,76,77,78,79,80,81,82,87,88,89,94,97,99,100,101,103,104,106,110,112,113,114}
1: {1,4,5,11,16,18,19,21,22,23,27,34,35,36,37,40,46,59,61,68,72,79,88,89,94,95,96,98,99,100,105,107,108,109,113}, {3,8,9,12,13,24,25,29,31,32,33,38,39,42,48,49,57,58,62,64,65,69,70,71,82,83,84,85,92,101,103,111}, {2,6,7,10,14,15,17,20,26,28,30,41,43,44,45,47,50,51,52,53,54,55,56,60,63,66,67,73,74,75,76,77,78,80,81,86,87,90,91,93,97,102,104,106,110,112,114}
1: {1,4,5,20,23,35,37,38,40,48,52,55,56,57,58,63,78,80,81,87,88,89,90,91,95,96,97,100,102,103,105,106,107,108,112,113}, {6,7,39,41,42,43,44,46,47,49,50,51,53,54,79,99,101,104,109,111,114}, {45,82,110}
1: {1,4,6,7,8,9,14,17,19,20,21,22,23,26,27,28,32,34,35,36,37,38,47,48,49,50,51,52,53,55,59,60,61,63,65,66,68,71,72,76,79,80,81,82,84,86,88,90,91,95,97,100,102,103,105,108,110,113}, {2,3,5,10,11,12,13,15,16,24,25,29,30,31,33,39,40,42,43,44,45,46,54,56,57,58,64,67,69,70,73,74,75,77,78,83,85,87,89,92,93,94,96,99,101,106,109,111,114}, {18,41,62,98,104,107,112}
1: {1,4,6,7,8,16,17,18,19,26,61,68,72,76,80,81}, {3,24,25,67,70,78}, {2,5,15,21,22,27,59,62,69,75,77}
1: {1,4,6,8,9,10,12,15,16,18,19,20,21,22,23,25,26,27,28,30,32,34,35,37,39,41,45,47,48,51,59,60,65,68,69,72,76,81,82,83,86,87,88,90,91,94,96,97,103,107,108,109,111,113,114}, {5,7,17,31,33,40,43,44,46,49,52,53,54,56,58,61,67,70,71,75,79,84,95,98,102,105,106,112}, {2,3,11,13,14,24,29,36,38,42,50,55,57,62,63,64,66,73,74,77,78,80,85,89,92,93,99,100,101,104,110}
1: {1,4,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,37,38,40,41,47,48,49,51,52,54,59,61,62,63,64,65,66,68,70,72,76,77,80,81,83,84,85,87,88,90,91,96,97,98,100,101,102,103,104,105,107,108,111,113}, {2,10,11,13,24,39,44,46,50,56,57,67,71,75,78,79,92,94,112,114}, {3,5,7,31,33,42,43,45,53,55,58,60,69,73,74,82,86,89,93,95,99,106,109,110}
1: {1,4,6,8,9,14,16,17,18,19,21,22,23,25,26,27,28,30,32,33,34,35,36,38,51,52,53,55,60,61,63,65,68,71,72,76,80,81,84,85,88,89,90,91,96,97,98,102,103,106,109,111,113}, {3,10,11,12,13,24,29,31,39,42,43,44,45,46,47,48,49,50,56,57,58,59,62,64,66,67,69,74,75,78,79,82,87,92,95,101,105,110,112,114}, {2,5,7,15,20,37,40,41,54,70,73,77,83,86,93,94,99,100,104,107,108}
1: {1,4,6,8,9,14,17,18,19,20,21,22,23,26,27,28,29,30,33,34,35,36,37,39,41,51,52,53,59,60,61,62,63,66,68,69,71,75,76,77,80,81,82,87,88,90,91,97,103,106,107,109,111,113}, {3,7,10,13,24,25,31,32,38,40,42,44,45,46,47,48,49,54,56,57,58,64,67,70,73,78,79,92,93,94,99,100,105,108,110,112,114}, {2,5,11,12,15,16,43,50,55,65,72,74,83,84,85,86,89,95,96,98,101,102,104}
1: {1,4,6,8,9,18,19,21,27,28,31,34,35,37,40,51,59,61,63,65,66,68,75,77,81,84,88,91,94,95,98,100,103,105,107,108,109,111,113}, {2,3,5,7,10,11,12,13,14,15,16,17,20,22,23,24,25,30,32,36,38,39,41,42,43,44,45,46,48,49,53,56,57,58,60,69,70,72,76,78,79,80,82,83,85,87,89,92,97,99,101,104,106,114}, {26,29,33,47,50,52,54,55,62,64,67,71,73,74,86,90,93,96,102,110,112}
1: {1,4,6,8,12,16,17,18,19,20,21,30,32,34,35,37,42,51,53,56,64,66,68,69,74,77,80,81,85,86,87,88,90,91,92,95,96,97,100,103,104,106,107,109,113}, {3,7,10,13,22,24,25,31,33,39,41,43,44,46,48,49,57,62,67,70,75,78,79,83,93,94,101,108,111,112,114}, {2,5,9,11,14,15,23,26,27,28,29,36,38,40,45,47,50,52,54,55,58,59,60,61,63,65,71,72,73,76,82,84,89,98,99,102,105,110}
1: {1,4,6,8,14,15,16,17,18,19,20,21,22,23,26,27,32,34,35,36,37,40,45,51,55,59,60,61,62,63,64,66,67,68,69,76,81,82,84,86,87,88,90,91,95,97,100,102,103,105,106,107,108,110,113}, {5,7,9,10,11,12,24,25,29,31,33,38,39,42,43,44,48,49,54,56,70,71,73,74,75,77,78,79,80,85,89,93,94,98,99,101,109,112,114}, {2,3,13,28,30,41,46,47,50,52,53,57,58,65,72,83,92,96,104,111}
1: {1,4,6,8,14,16,17,18,19,20,21,26,28,30,35,36,38,47,51,53,59,60,63,68,74,76,78,81,84,87,88,89,91,93,94,95,96,97,98,100,102,103,106,107,108,109,110,113}, {3,5,7,10,11,13,24,25,27,31,37,39,42,43,44,45,46,49,50,52,54,56,57,58,61,62,64,66,67,70,71,72,73,75,82,83,86,92,99,101,104,105,112,114}, {2,9,12,15,22,23,29,32,33,34,40,41,48,55,65,69,77,79,80,85,90,111}
1: {1,4,6,9,11,17,18,19,21,34,35,36,37,38,40,43,44,47,49,50,52,55,58,59,61,63,64,66,67,69,70,71,72,81,90,91,95,96,98,100,101,102,104,105,107,108,111,113}, {2,3,7,10,12,13,14,15,16,20,24,25,26,30,31,32,33,39,42,45,46,48,51,53,54,56,57,65,73,74,75,76,78,79,82,83,84,88,92,93,94,97,99,109,112,114}, {5,8,22,23,27,28,29,41,60,62,68,77,80,85,86,87,89,103,106,110}
1: {1,4,6,14,16,18,19,30,32,34,36,54,57}, {3,5,10,11,12,13,17,25,26,29,31,35,37,39,40,41,42,43,44,48,50}, {2,7,8,9,15,28,33,38,45,46,47,49,55,58}
1: {1,4,7,8,9,11,14,16,17,18,19,21,22,23,29,30,34,35,36,38,41,45,47,49,51,52,53,54,55,57,58,59,60,61,65,73,74,75,76,80,81,82,83,84,87,88,89,90,91,94,95,96,97,100,101,103,107,108,109,110,112,113,114}, {2,3,5,6,10,12,13,15,20,24,25,26,27,28,31,32,33,37,39,40,42,43,44,46,48,50,56,62,63,64,66,67,68,69,70,71,72,77,78,79,85,86,92,93,98,99,102,105,106,111}, 104
1: {1,4,7,8,9,11,16,17,18,19,21,27,28,35,36,37,38,40,51,53,59,60,61,63,65,68,69,70,72,76,78,81,84,90,94,95,100,103,107,108,109}, {2,3,5,6,10,12,13,14,15,20,22,23,24,25,26,29,30,31,32,33,39,41,42,43,44,45,46,47,49,52,54,55,56,57,58,64,73,74,75,79,80,82,85,92,98,99,101,111,112,113,114}, {34,48,50,62,66,67,71,77,83,86,87,88,89,91,93,96,97,102,104,105,106,110}
1: {1,4,7,8,9,12,15,16,17,18,19,20,21,22,23,26,27,31,32,33,35,36,37,38,40,41,51,53,54,58,60,62,63,65,68,70,71,74,76,77,81,82,83,84,85,87,88,89,92,93,97,101,102,103,104,105,111}, {2,3,5,6,10,11,13,14,24,25,28,29,30,34,39,42,43,44,45,46,47,48,49,50,52,55,56,57,59,61,64,66,67,69,72,73,75,78,79,80,86,90,91,94,95,96,98,99,100,106,107,108,109,110,112,113,114}, {}
1: {1,4,8,9,10,13,14,18,19,20,23,25,28,29,34,35,36,37,38,47,48,49,50,51,52,53,55,57,59,61,63,72,73,78,81,82,90,91,94,95,96,98,100,107,109,110,112,113,114}, {2,3,7,11,12,15,16,17,22,24,26,27,30,31,32,33,40,41,42,44,46,56,58,60,62,64,65,66,67,68,69,70,71,75,76,77,79,80,83,84,85,86,87,88,89,92,93,97,99,101,102,104,105,106,108,111}, {5,6,21,39,43,45,54,74,103}
1: {1,4,8,9,11,12,14,15,16,18,19,20,22,23,26,27,28,32,35,37,40,50,51,52,60,63,65,66,70,71,73,76,77,80,82,83,84,85,88,90,91,96,97,98,100,102,106,109,113}, {2,3,5,6,7,10,13,17,21,24,25,30,31,33,34,36,38,39,41,42,43,44,45,46,47,48,49,53,54,55,56,57,58,61,62,64,67,68,69,72,75,78,79,81,89,92,93,94,99,101,103,104,105,107,108,110,112,114}, {29,59,74,86,87,95,111}
1: {1,4,8,9,11,12,14,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,37,38,41,50,51,60,61,62,64,66,68,71,74,76,80,81,82,83,84,85,87,88,89,91,92,93,95,96,101,103,104,105,106,107,108,109,113,114}, {2,3,5,7,10,13,24,25,31,39,40,42,43,44,45,46,47,48,49,52,53,54,55,56,57,58,59,67,69,70,72,73,75,77,78,79,94,97,98,99,102,110,111,112}, {6,15,16,63,65,86,90,100}
1: {1,4,8,9,11,12,15,17,18,19,20,21,22,23,25,26,27,28,29,30,32,35,36,38,51,53,61,62,63,65,66,68,72,76,80,81,83,87,89,90,91,95,96,100,103,106,107,113}, {3,10,13,14,24,31,39,42,43,44,45,46,47,50,52,54,56,57,64,67,75,78,79,93,94,101,104,108,109,110,112,114}, {2,5,7,16,33,37,40,41,48,49,55,58,60,69,70,71,73,74,77,82,84,85,86,92,97,98,99,102,105,111}
1: {1,4,8,9,11,13,14,15,16,17,18,21,26,27,28,34,35,36,37,38,39,40,47,49,52,53,55,57,58,59,61,63,65,66,67,72,76,86,88,89,91,94,95,96,97,99,101,105,111,114}, {2,3,5,6,7,10,12,19,20,22,23,24,25,29,30,31,32,33,41,42,43,44,45,46,48,51,54,56,60,62,64,68,69,70,71,73,74,75,77,78,79,80,81,82,83,84,85,87,92,93,98,100,102,103,104,106,107,108,109,110,112,113}, {50,90}
1: {1,4,8,9,11,14,15,17,18,19,21,22,23,26,27,28,29,30,32,34,35,36,38,51,53,59,62,63,66,68,69,70,76,80,81,84,87,88,89,90,91,95,97,100,103,107,113}, {7,10,13,24,25,31,33,37,39,41,42,43,44,45,50,56,57,58,61,64,67,78,93,94,96,99,111,112,114}, {2,3,5,6,12,16,20,40,46,47,48,49,52,54,55,60,65,71,72,73,74,75,77,79,82,83,85,86,92,98,101,102,104,105,106,108,109,110}
1: {1,4,8,9,11,16,17,18,22,25,27,28,34,35,36,38,40,45,46,47,49,51,52,56,59,65,66,67,68,70,71,72,76,79,83,85,86,88,90,91,93,95,96,97,98,100,105,108,109,112,113,114}, {2,3,5,6,7,10,12,13,14,15,19,20,23,24,26,29,30,31,32,33,37,39,41,42,44,48,50,54,55,57,58,60,61,62,63,64,69,73,77,80,81,82,84,87,89,92,94,99,101,102,103,104,106,107,110,111}, {21,43,53,74,75,78}
1: {1,4,8,9,12,14,15,16,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,47,51,53,61,62,63,65,66,68,72,74,75,76,77,80,81,83,84,85,88,89,90,96,97,98,100,102,103,106,107,108,110}, {3,10,13,25,31,39,40,42,44,45,46,48,50,54,55,56,57,58,78,79,87,94,95,99,101,105,111,114}, {2,5,6,7,11,17,24,29,37,41,43,49,52,59,60,64,67,69,70,71,73,82,86,91,92,93,104,109,112,113}
1: {1,4,8,9,13,14,18,20,21,22,23,26,27,34,37,40,45,47,48,50,51,52,53,54,55,57,59,65,67,68,69,70,71,77,81,82,83,84,88,91,94,95,96,98,100,105,107,109,110,112,113,114}, {2,3,5,6,12,15,16,17,24,28,30,31,32,35,38,39,41,42,43,44,46,49,56,58,60,61,63,64,66,72,75,76,78,79,80,87,89,90,92,97,99,101,102,103,104,108,111}, {7,10,11,19,25,29,33,36,62,73,74,85,86,93,106}
1: {1,4,8,9,14,15,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,37,38,41,51,52,53,58,60,61,62,63,65,66,68,71,72,75,76,80,81,82,83,86,87,88,89,90,92,95,103,107,111,113}, {2,3,7,10,24,31,39,40,43,44,49,56,64,70,73,79,84,85,94,98,99,105,110,112,114}, {5,6,11,12,13,25,27,33,42,45,46,47,48,50,54,55,57,59,67,69,74,77,78,91,93,96,97,100,101,102,104,106,108,109}
1: {1,4,8,9,14,16,17,18,19,21,23,27,28,34,35,36,37,40,58,60,65,70,71,76,79,81,84,85,88,89,91,93,95,96,98,100,105,107,108,109,113}, {2,3,10,11,12,13,15,20,22,24,25,26,30,31,33,39,41,42,43,44,45,46,48,49,50,51,52,56,57,61,64,67,69,75,77,78,82,92,101,106,111,112,114}, {5,6,7,29,32,38,47,53,54,55,59,62,63,66,68,72,73,74,80,83,86,87,90,94,97,99,102,103,104,110}
1: {1,4,8,9,14,17,20,21,22,23,28,30,32,34,35,36,37,40,41,45,50,51,52,58,59,60,66,68,69,72,80,81,91,94,95,96,98,99,109,112,113}, {2,3,7,10,12,15,16,18,24,27,29,33,38,42,43,44,46,47,48,49,53,55,56,61,62,63,70,71,75,77,78,79,82,84,85,87,89,92,97,102,103,105}, {5,6,11,13,19,25,26,31,39,54,57,64,65,67,73,74,76,83,86,88,90,93,100,101,104,106,107,108,110,111,114}
1: {1,4,8,9,17,22,23,27,34,36,37,40,47,49,50,52,56,59,60,61,66,67,77,82,84,86,91,93,95,98,100,102,103,107,108,109,110,112,114}, {2,3,7,10,11,12,13,24,29,30,32,38,39,41,42,45,51,55,57,71,75,79,83,85,87,88,89,92,99,111}, {5,6,14,15,16,18,19,20,21,25,26,28,31,33,35,43,44,46,48,53,54,58,62,63,64,65,68,69,70,72,73,74,76,78,80,81,90,94,96,97,101,104,105,106,113}
1: {1,4,8,9,59,68}, 10, {7,11}
1: {1,4,8,11,12,19,20,23,29,34,38,47,57,58,59,62,68,72,74,76,83,92,96,114}, {31,41,43,77,79,80}, {27,37,39,88,111}
1: {1,4,8,11,16,17,19,21,29,37,39,46,47,52,54,55,56,57,59,61,63,71,72,74,78,83,88,91,93,94,95,96,98,100,104,107,110,111,112,113}, {2,3,5,6,7,10,13,14,15,18,20,22,23,24,25,26,27,28,30,31,32,33,34,36,38,41,42,43,44,48,50,51,53,58,60,62,65,66,67,68,69,70,73,75,76,79,80,81,82,86,87,92,97,99,101,102,106,109,114}, {9,12,35,40,45,49,64,77,84,85,89,90,103,105,108}
1: {1,4,8,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,37,51,53,58,59,61,62,63,66,74,80,81,83,84,85,86,87,88,90,91,93,96,97,98,102,103,108,111,113}, {5,9,10,13,24,31,39,40,42,43,45,46,47,48,49,50,55,56,57,60,65,71,72,75,76,77,78,79,82,94,99,101,105,112,114}, {2,3,6,7,11,29,38,41,44,52,54,64,67,68,69,70,73,89,92,95,100,104,106,107,109,110}
1: {1,4,8,16,17,18,19,20,21,22,23,28,30,32,34,36,37,49,51,58,60,61,65,69,71,72,73,76,80,81,83,84,90,91,96,97,100,102,103,105,108,112,113}, {2,3,6,9,10,12,13,15,24,26,27,31,33,38,39,41,42,44,45,46,47,48,50,54,55,56,57,62,63,67,68,70,74,75,77,78,79,82,86,89,92,93,98,99,101,104,109,111}, {5,7,11,14,25,29,35,40,43,52,53,59,64,66,85,87,88,94,95,106,107,110,114}
1: {1,4,9,11,14,16,18,19,21,27,29,30,32,34,35,36,38,40,51,52,53,55,57,58,59,60,66,67,68,69,70,76,86,90,91,95,100,102,103,105,107,108,109,111}, {3,8,10,22,25,31,33,37,39,41,42,43,44,46,47,56,61,64,65,71,75,77,82,83,84,85,94,96,99,101,110,114}, {2,5,6,7,12,13,15,17,20,23,24,26,28,45,48,49,50,54,62,63,72,73,74,78,79,80,81,87,88,89,92,93,97,98,104,106,112,113}
1: {1,4,9,12,14,20,21,26,27}, 25, {11,13}
1: {1,4,10,17,20,21,23,26,27,35,36,37,40,46,48,52,53,55,65,67,90,94,110}, {25,30,42,69,77}, {12,14,39,41,45,51,56}
1: {1,4,15,20,21,22}, 3, {2,10}
1: {1,4,16,24,32,41,49,68,76,96,107,109,113}, {92,110}, {81,108}
1: {1,4,16,27,32,34,35,37,40,45,49,52}, {2,10,12,22,31,42,48,53}, {7,43,44,62}
1: {1,4,21,27,29,84,86,103,105}, 53, {}
1: {1,4,33,40,55,58,64,65,76,91,114}, {10,52}, {5,22,24,39,41,46,56,72,78,94,98,109}
1: {1,5,6,7,9,10,13,16,17,26,27,28,35,38,40,47,52,55,56,60,61,70,74,76,77,80,83,84,88,89,98,102,104,107,110,113}, {2,11,12,14,29,30,45,51,75,78,79,92,99,114}, {3,18,31,32,37,43,44,62,66,68,72,73,82,90,94,103,112}
1: {1,5,6,8,9,10,14,18,19,21,24,27,28,30,35,38,40,45,47,48,52,54,56,59,60,61,67,68,71,81,84,90,94,98,106}, {3,4,12,22,23,25,31,32,41,44,51,57,62,64,69,72,73,82,88,97,104,110}, {}
1: {1,5,6,8,9,11,12,15,16,17,18,19,20,21,23,27,29,32,34,35,36,37,38,52,53,55,57,58,59,60,61,63,65,66,72,74,76,80,81,83,84,85,87,90,91,96,100,102,103,106,107,108,110,111,112,113}, {3,22,24,26,31,39,40,41,42,44,49,56,69,70,73,77,78,92,94,99,105}, {2,4,7,10,13,14,25,28,30,33,43,45,46,47,48,50,51,54,62,64,67,68,71,75,79,82,86,88,89,93,95,97,98,101,104,109,114}
1: {1,5,6,8,9,11,14,16,18,19,22,24,26,27,30,33,38,41,43,47,51,52,53,59,61,65,68,76,79,81,83,84,87,88,89,91,95,96,98,106,107,108,110,113}, {2,3,4,10,12,23,32,36,39,42,44,46,48,49,54,56,64,67,69,70,77,82,85,86,92,93,105,114}, {7,13,15,17,20,21,25,28,29,31,34,35,37,40,45,50,55,57,58,60,62,63,66,71,72,73,74,75,78,80,90,94,97,99,100,101,102,103,104,109,111,112}
1: {1,5,6,8,9,11,16,18,19,20,21,22,23,30,32,34,35,36,37,38,47,52,59,61,63,66,68,72,76,87,88,90,91,96,98,99,102,103,106,111,114}, {2,3,4,7,10,12,13,15,24,26,29,31,33,39,40,42,43,44,45,46,48,49,54,56,57,70,75,78,83,85,93,105}, {14,17,25,27,28,41,50,51,53,55,58,60,62,64,65,67,69,71,73,74,77,79,80,81,82,84,86,89,92,94,95,97,100,101,104,107,108,109,110,112,113}
1: {1,5,6,8,9,11,16,19,21,23,26,27,28,30,35,36,37,38,47,48,51,52,53,55,57,59,61,63,75,77,79,81,83,87,91,95,96,98,100,103,104,105,106,107,110,112}, {3,13,14,33,39,42,43,44,45,46,49,50,56,62,67,68,69,70,73,74,80,92,102,111}, {2,4,7,10,12,15,17,18,20,22,24,25,29,31,32,34,40,41,54,58,60,64,66,71,72,76,78,82,84,85,86,88,89,90,93,94,97,99,101,108,109}
1: {1,5,6,8,9,12,13,14,15,16,17,18,19,21,23,29,30,32,34,35,36,37,40,41,47,48,50,52,53,54,55,57,58,59,61,64,65,67,68,73,74,75,76,77,79,80,82,83,85,88,89,91,94,95,97,101,102,103,104,105,107,109,110,111,112,113,114}, {3,4,7,22,24,25,31,39,42,49,62,70,71,78,81,100,106}, {2,10,11,20,26,27,28,33,43,44,45,46,56,60,63,66,69,84,86,87,90,93,96,98,99,108}
1: {1,5,6,8,9,12,14,16,17,18,19,20,21,22,23,26,27,28,30,33,34,36,38,41,53,59,62,63,66,68,69,71,72,74,80,84,86,89,96,103,107,108,110,113}, {3,4,10,15,24,25,31,37,39,42,43,44,45,46,48,49,51,52,54,56,57,58,64,67,75,77,78,79,94,95,99,101,105,111,112,114}, {2,7,11,29,32,47,50,60,106}
1: {1,5,6,8,9,12,16,17,18,19,28,30,33,34,35,36,38,53,58,94,103}, {3,4,7,10,11,13,15,29,31,39,40,42,44,45,46,47,48,50,51,52,55,56,57}, {2,14,32,41,43,49,54,108}
1: {1,5,6,8,9,12,16,18,19,20,21,23,26,27,28,30,33,34,35,36,37,38,53,58,59,60,63,66,71,74,76,77,80,81,82,83,88,89,91,94,95,96,98,100,101,102,103,106,107,109,113}, {3,4,7,10,11,13,15,17,22,24,25,29,31,39,40,41,42,43,44,45,46,47,48,49,50,51,52,54,56,57,61,62,64,67,70,72,73,75,78,84,85,90,92,99,105,111,112,114}, {2,14,32,55,65,68,69,79,86,87,93,97,104,108,110}
1: {1,5,6,8,9,14,15,16,17,18,20,21,23,26,27,28,29,30,32,34,35,37,38,43,48,51,53,54,59,60,64,65,66,69,72,76,80,82,83,84,86,91,95,96,97,103,104,107,111}, {4,10,11,12,13,22,24,25,31,39,40,42,44,46,56,57,71,75,77,78,79,89,94,98,99,102,105,106,108,112,114}, {3,19,33,36,41,45,47,49,50,52,55,58,61,62,67,70,73,74,81,85,87,88,90,92,93,100,101,109}
1: {1,5,6,8,9,14,16,17,18,19,20,21,22,23,26,27,28,30,32,34,35,36,37,41,51,53,59,60,61,62,63,65,66,68,70,71,72,76,80,81,82,83,84,85,87,88,89,90,91,95,96,97,102,103,106,107,108,110,111,113}, {3,4,10,13,24,29,31,39,40,43,44,45,46,48,50,57,58,69,77,78,94,101,105,112}, {2,7,11,12,15,25,33,38,42,47,49,52,54,55,56,64,67,73,74,75,79,86,92,93,98,99,100,104,109,114}
1: {1,5,6,8,9,14,16,17,18,19,20,21,27,30,35,37,40,55,59,67,71,80,83,85,86,88,91,95,98,100,103,105,107,108,109,111,113}, {2,3,4,7,10,11,12,13,15,22,23,24,25,26,28,29,31,32,34,36,38,39,41,42,43,44,45,46,47,48,49,50,52,53,54,56,57,58,60,62,63,64,65,66,68,69,70,72,73,74,75,76,77,78,79,81,82,87,90,92,93,96,97,99,101,102,104,106,110,114}, {33,51,61,84,89,94,112}
1: {1,5,6,8,9,14,16,18,19,21,22,23,27,28,29,30,34,35,36,51,53,58,59,61,62,63,65,66,68,69,72,76,80,82,88,89,90,91,94,95,96,98,100,102,103,104,106,107,109,113}, {2,3,4,7,10,11,12,13,15,17,20,24,31,32,33,37,38,39,41,42,43,44,45,46,48,49,50,54,56,57,60,64,67,70,71,73,75,77,78,79,81,85,86,87,92,93,97,99,101,108,111,112,114}, {25,26,40,47,52,55,74,83,84,105,110}
1: {1,5,6,8,9,16,17,18,19,22,23,27,29,30,32,33,34,35,36,52,53,55,57,61,63,65,66,74,76,77,80,84,88,90,91,95,96,102,103,104,107,110,113}, {3,4,25,26,39,40,50}, {2,7,10,11,12,15,24,37,43,45,49,58,64,67,71,72,79,87,89,92,93,94,97,98,101,106,108,111,112,114}
1: {1,5,6,8,9,16,17,19,25,26,28,30,35,36,37,39,47,51,52,55,59,61,63,65,68,74,80,81,86,89,96,99,100,106,108,110,113}, {3,10,11,12,13,15,23,33,40,44,45,49,50,53,54,56,58,67,70,78,79,84,85,101,105}, {2,4,7,14,18,20,21,22,24,27,29,31,32,34,38,41,42,43,46,48,57,60,62,64,66,69,71,72,73,75,76,77,82,83,87,88,90,91,92,93,94,95,97,98,102,103,104,107,109,111,112,114}
1: {1,5,6,8,12,16,19,35,36,60,66,72,83,89,97,104}, {43,44,54,62,78,87,112}, {13,15,25,55,80,101}
1: {1,5,6,8,16,18,19,21,27,28,29,34,35,36,38,47,51,53,58,59,61,63,66,68,69,73,77,78,87,88,91,96,97,102,103,104,107,110,112,113}, {3,4,10,11,12,13,15,20,22,23,24,26,37,40,41,42,44,46,49,54,55,56,57,62,70,71,74,75,79,80,82,83,85,89,92,99,100,105,106,111}, {2,7,9,14,17,25,30,31,32,33,39,43,45,48,50,52,60,64,65,67,72,76,81,84,86,90,93,94,95,98,101,108,109,114}
1: {1,5,6,8,19,22,33,36,47,50,61,63,65,77,81,83,88,96,99,103,106}, {20,39,57,67,70,74,78,101,111}, {15,18,32,34,37,44,58,62,66,68,86,105,107,108,109,112}
1: {1,5,6,8,28,29,30,59,60,61,84,91}, {4,7,83,92}, {31,86,93,97}
1: {1,5,6,11,14,36,59,60,61,62,64,65,66,68,90}, {3,10,13,67,69,70,112,114}, 63
1: {1,5,6,17,18,19,20,21,27,30,32,34,35,36,37,51,58,62,68,71,76,86,87,88,91,98,103,107}, {2,3,4,8,9,10,12,13,15,16,22,23,24,25,26,28,31,33,38,39,41,42,44,45,46,47,48,49,50,54,55,56,57,63,65,66,67,69,70,75,78,79,80,81,82,83,84,85,90,92,94,96,106,109,110,111,112,114}, {7,11,14,40,52,53,59,61,64,72,73,74,77,89,93,95,97,99,100,101,102,104,105,108,113}
1: {1,5,7,8,9,11,13,14,16,17,18,19,20,21,22,23,27,32,34,35,36,37,38,41,51,55,59,60,61,65,73,74,75,76,77,87,88,91,96,97,98,100,102,103,107,108,109,110,111,113}, {3,4,10,12,15,24,26,30,31,33,39,40,42,43,44,46,47,49,58,62,64,67,69,70,71,78,79,80,85,92,93,99,101,105,112,114}, {2,6,25,28,29,45,48,50,52,53,54,56,57,63,66,68,72,81,82,83,84,86,89,90,94,95,104,106}
1: {1,5,7,8,9,16,18,19,21,22,23,26,27,28,30,34,35,36,38,41,51,53,59,61,63,65,68,71,76,81,82,83,84,85,87,89,91,93,95,96,103,106,107,109,110,113}, {3,6,10,12,13,14,17,24,25,29,31,32,40,42,43,44,47,48,49,50,54,56,57,64,67,70,72,75,78,79,92,97,99,104,105,108,111,112,114}, {2,4,11,39,46,52,55,58,60,62,66,69,73,74,77,80,86,88,90,94,98,101,102}
1: {1,5,7,8,12,14,15,16,19,20,22,26,30,32,34,35,36,38,51,55,68,71,76,83,85,87,89,90,98,100,102,103}, {4,24,25,33,37,42,43,44,50,54,56,57,69,77,79,95,106,109,112}, {2,40,52,53,70,75,93,96,110,111,114}
1: {1,5,7,8,12,17,18,19,21,22,23,26,27,28,30,34,35,36,38,41,51,60,62,81,82,91,94,109,111}, {2,3,4,9,10,13,15,24,25,29,31,32,33,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,67,70,75,76,77,79,92,112}, {6,11,14,16,20,53,61,69,78,80,93,95,107,108,110,113}
1: {1,5,7,12}, {2,6,10}, {3,4,11,14}
1: {1,5,8,9,10,11,12,15,16,17,18,19,20,21,26,27,28,29,30,32,33,34,35,36,47,48,49,50,51,52,53,55,57,59,60,61,62,64,65,66,69,71,75,76,80,81,82,84,86,87,90,91,95,96,97,98,100,103,104,107,108,109}, {2,3,4,6,7,14,22,23,24,25,31,38,39,40,41,42,43,44,46,54,56,58,63,68,70,73,74,77,78,79,92,93,94,99,105,106,110,111,112,113,114}, {13,37,45,67,72,83,85,88,89,101,102}
1: {1,5,8,9,11,12,14,15,16,18,19,21,22,23,28,30,32,34,35,36,38,47,52,53,59,61,63,65,68,69,71,72,74,76,81,83,86,87,88,89,90,91,95,96,97,98,100,102,103,106,107,113}, {3,4,10,13,24,25,27,31,39,42,43,44,45,48,49,51,55,56,60,67,70,75,77,78,93,104,105,109,112,114}, {2,6,7,17,20,26,29,33,37,40,41,46,50,54,57,58,62,64,66,73,79,80,82,84,85,92,94,99,101,110,111}
1: {1,5,8,9,11,12,14,16,17,18,19,21,22,26,27,28,30,34,35,36,58,60,62,63,65,68,70,76,80,81,82,83,85,87,88,89,90,91,96,97,98,100,102,103,106,108,111,113}, {3,4,10,13,24,29,31,39,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,59,61,64,67,72,78,79,92,93,99,109,112,114}, {2,6,7,15,20,23,25,32,33,37,38,40,51,53,66,69,71,73,74,75,77,84,86,94,95,101,104,105,107,110}
1: {1,5,8,9,11,14,15,16,17,18,19,21,22,23,27,28,29,30,34,35,36,37,38,40,41,47,48,51,52,53,59,61,63,65,66,74,76,81,83,85,87,88,89,90,91,92,95,96,97,100,102,103,107,110,113}, {2,3,7,10,13,24,32,33,39,42,43,44,45,46,49,54,55,56,57,68,69,70,71,72,73,75,78,79,80,82,84,93,94,98,99,106,114}, {4,6,12,20,25,26,31,50,58,60,62,64,67,77,86,101,104,105,108,109,111,112}
1: {1,5,8,9,11,14,16,17,18,19,20,21,22,23,28,29,30,33,34,35,36,37,40,47,49,51,52,53,55,58,59,60,61,62,63,65,66,71,72,76,79,81,82,83,84,86,88,91,93,94,96,97,98,100,102,103,104,106,107,108,109,111,114}, {2,3,4,6,7,10,12,13,15,24,25,26,27,31,32,38,39,41,42,43,44,45,46,48,50,54,56,57,64,67,70,74,75,78,80,89,92,95,99,101,105,110,112}, {68,69,73,77,85,87,90,113}
1: {1,5,8,9,11,18,19,20,21,22,23,27,28,29,30,34,35,36,37,40,43,48,50,51,53,54,55,59,60,61,66,67,68,81,83,86,88,90,91,94,95,98,100,105,107,108,109,113}, {2,7,10,12,13,16,24,31,33,38,41,42,44,49,56,64,69,70,71,75,77,78,79,82,84,87,89,92,101,102,106}, {3,4,6,14,15,17,25,26,32,39,45,46,47,52,57,58,62,63,65,72,73,74,76,80,85,93,96,97,99,103,104,110,111,112,114}
1: {1,5,8,9,12,14,15,16,17,18,19,20,21,22,23,28,30,32,34,35,36,37,41,47,51,52,53,59,60,61,62,66,68,69,70,74,76,80,81,82,83,84,85,86,87,88,89,91,93,97,100,102,103,104,105,107,108,109,113}, {3,4,7,10,13,24,25,29,31,39,42,43,44,45,46,48,49,50,54,56,57,58,64,72,75,77,78,79,92,94,98,99,101,106,110,111,112,114}, {2,6,11,26,27,33,38,40,55,63,65,67,71,73,90,95,96}
1: {1,5,8,9,12,14,15,16,17,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,40,41,47,49,51,52,53,55,59,60,61,62,63,65,68,70,71,76,79,80,81,82,83,86,88,89,90,91,95,96,97,98,100,102,103,104,107,108,109,110,113}, {2,3,4,6,7,10,11,13,24,25,31,37,39,42,43,44,45,46,48,50,54,56,57,58,64,66,67,69,73,75,77,78,87,94,105,106,112,114}, {18,72,74,84,85,92,93,99,101,111}
1: {1,5,8,9,13,14,16,17,18,19,20,21,23,25,26,27,28,33,34,35,36,37,40,46,48,50,51,52,55,57,59,60,61,68,81,83,84,90,91,95,96,98,100,102,103,105,107,108,110,113}, {2,3,4,6,7,10,12,24,29,30,31,32,38,41,42,43,44,49,53,54,56,62,64,65,67,69,70,71,72,73,75,78,79,82,85,87,88,89,92,94,97,99,101,106,111,112,114}, {11,15,22,39,45,47,58,63,66,74,76,77,80,86,93,104,109}
1: {1,5,8,9,14,15,16,18,19,21,22,23,26,27,28,30,32,33,34,35,36,38,47,51,53,59,60,61,62,63,65,66,68,70,71,72,74,76,79,81,82,83,84,85,88,89,90,91,96,97,102,103,106,108,110,113}, {3,6,10,13,24,31,37,40,42,43,44,49,50,52,55,56,57,58,64,67,69,73,78,92,94,95,99,101,105,112,114}, {2,4,7,11,12,17,20,25,29,39,41,45,46,48,54,75,77,80,86,87,93,98,100,104,107,109,111}
1: {1,5,8,9,14,16,17,18,19,20,21,22,23,27,28,33,34,35,36,38,49,51,53,60,61,62,63,65,66,68,70,71,76,80,81,83,84,85,88,89,96,97,98,111,113}, {3,10,11,13,15,24,26,29,31,40,42,43,44,45,46,47,48,50,52,54,55,56,57,58,64,67,73,74,75,77,78,79,92,94,99,101,105,106,109,110,112,114}, {2,4,6,7,12,25,30,32,37,39,41,59,69,72,82,86,87,90,91,93,95,100,102,103,104,107,108}
1: {1,5,8,9,14,17,18,19,22,23,30,32,34,36}, {2,3,4,10,12,13,28,29,31,33,43,44,45,46,47,48,49,50,52}, {6,7,11,20,51,53,54}
1: {1,5,8,9,15,16,17,18,19,26,27,28,30,34,35,36,41,51,53,61,63,81,84}, {3,10,11,13,20,24,31,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58}, {2,4,6,7,12,14,21,22,23,25,29,32,33,37,38,39,47,59,60}
1: {1,5,8,9,17,18,19,21,22,23,25,26,27,28,30,33,34,35,36,38,41,51,61,63,65,66,70,71,73,74,75,76,77,78,79,81,83,85,86,88,89,90,91,96,97,98,102,103,104,106,110,112,113}, {3,12,13,24,29,31,37,39,40,42,44,45,46,48,49,50,53,54,55,56,57,58,59,64,67,69,92,105}, {2,4,6,7,10,11,14,15,16,20,32,43,47,52,60,62,68,72,80,82,84,87,93,94,95,99,100,101,107,108,109,111,114}
1: {1,5,8,9,18,19,20,21,23,27,34,35,36,38,41,46,51,60,61,62,63,66,68,71,76,81,84,86,88,90,91,96,98,100,102,103,108,113}, {3,4,13,24,25,31,37,39,42,43,44,48,49,50,54,56,58,64,69,70,73,75,77,78,79,92,93,94,99,106,111,112,114}, {2,6,7,10,11,12,14,15,16,17,22,26,28,29,30,32,33,40,45,47,52,53,55,57,59,65,67,72,74,80,82,83,85,87,89,95,97,101,104,105,107,109,110}
1: {1,5,8,14,16,27,28,34,35,37,47,48,52,53,71,85,88,90,98,107}, {2,3,10,26,30,31,32,38,39,40,42,46,49,51,82,100,106,114}, {7,72,87}
1: {1,5,8,16,17,18,21,22,26,27,28,34,35,36,38,41,47,51,53,59,61,63,65,66,68,69,79,80,83,84,85,88,93,96,97,98,100,103,109,110,111,113}, {3,7,10,15,24,40,42,43,46,49,54,55,56,58,60,62,64,67,70,71,73,75,92,94,95,99,104,105}, {2,4,25,29,31,32,39,50,52,72,77,81,82,86,89,90,91,102,106,107,108,112,114}
1: {1,5,8,59,97}, {3,4}, 2
1: {1,5,9,10,11,13,14,16,17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,38,41,44,51,52,55,57,59,61,68,69,72,76,81,84,87,88,89,90,91,96,100,103,104,107,109,113,114}, {3,4,6,7,8,12,24,25,31,37,39,40,42,43,45,46,47,49,53,54,56,60,62,63,64,65,66,67,70,71,74,75,77,78,79,80,82,83,85,92,93,94,95,97,98,99,101,102,105,106,108,110,111,112}, {2,15,26,48,50,58,73,86}
1: {1,5,9,12,15,16,17,18,19,21,22,26,61,63,65,66,91}, {10,13,94,112}, {7,11,59,60,64,92}
1: {1,5,13,16,17,19,20,21,26,28,29,30,32,36,45,53,57,60,61,62,63,65,68,72,75,80,82,88,89,91,96,97,102,106,107,108,109,111,113}, {3,7,10,14,25,31,39,40,43,46,52,54,56,59,64,69,71,77,78,81,83,84,85,87,92,99,112,114}, {22,24,33,47,55,86,94}
1: {1,5,16,17,20,28,33,38,53,60,61,68,71,76,88,91,110,113}, {39,40,42,44,57,73,77,101,112}, {51,52,56,74,79,83,90,93,106,108,109}
1: {1,5,32,36,45,50,57,61,63,76,86,90,94,97,105,107,110}, {64,77,92}, {8,114}
1: {1,5,71}, {15,72}, 6
1: {1,6,7,8,9,10,11,13,16,17,18,19,21,27,28,34,35,36,37,39,40,45,47,48,50,51,52,53,54,55,57,59,61,63,64,65,66,67,68,69,72,73,77,78,80,81,82,83,84,86,90,91,94,95,96,98,99,100,102,103,105,107,108,109,110,111,113}, {2,3,4,5,12,14,20,22,23,24,25,26,29,30,31,32,33,38,41,42,43,44,46,49,56,58,60,62,70,71,74,75,76,85,87,88,89,92,97,101,104,106,112,114}, {15,79,93}
1: {1,6,7,8,16,17,19,30,38,47,52,53}, {2,3,4,5,15,24,28,29,43,44,45,46,48,49,50,55,56,57}, 18
1: {1,6,8,9,11,12,14,16,17,18,19,20,21,22,23,27,28,29,30,32,34,36,37,41,47,51,59,61,63,65,66,68,70,72,74,76,79,80,81,83,84,85,86,88,89,90,91,92,93,95,96,98,100,107,113}, {4,7,10,13,24,31,39,40,42,43,44,45,46,48,49,50,52,55,56,57,58,60,64,73,77,78,101,104,105,106,109,110}, {2,3,5,15,25,26,33,35,38,53,54,62,67,69,71,75,82,87,94,97,99,102,103,108,111,112,114}
1: {1,6,8,9,11,13,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,45,47,52,53,54,55,57,58,59,60,61,62,63,64,65,66,71,72,74,76,86,87,90,91,92,95,96,97,101,103,104,107,113}, {3,4,7,10,12,24,29,31,37,39,40,41,42,43,44,48,49,50,56,67,69,70,75,77,78,79,80,83,85,88,89,94,99,100,102,105,106,108,109,112,114}, {2,5,25,46,51,68,73,81,82,84,93,98,110,111}
1: {1,6,8,9,11,14,15,16,17,18,19,20,21,22,23,27,30,32,34,35,36,38,41,47,53,59,60,61,62,63,65,66,68,71,72,76,80,81,83,84,85,86,87,88,89,91,92,94,95,96,98,100,102,103,106,107,108,109,111,112,113}, {2,3,4,5,10,12,13,24,25,26,28,29,31,33,37,39,40,42,43,44,45,46,48,49,50,51,52,54,55,56,57,58,64,67,69,70,73,74,75,77,78,79,82,90,93,97,99,101,104,105,110,114}, 7
1: {1,6,8,9,11,14,15,16,17,18,19,20,21,22,26,27,28,29,30,33,34,35,36,38,41,47,48,49,52,53,55,59,61,63,65,66,71,74,75,76,77,78,81,83,85,87,88,89,90,91,95,96,97,98,101,102,103,104,107,108,109,110,111,112,113}, {3,4,10,12,13,23,24,25,31,37,39,40,42,43,44,45,46,50,56,57,64,67,68,70,79,82,92,94,99,100,105,106,114}, {2,5,7,32,51,54,58,60,62,69,72,73,80,84,86,93}
1: {1,6,8,9,11,14,16,17,18,19,21,22,23,27,28,29,30,32,34,35,36,37,38,40,47,48,50,51,52,53,54,55,57,58,59,60,62,65,66,69,74,76,80,83,84,86,88,90,91,94,95,96,97,98,100,103,104,105,106,107,109,113}, {2,3,4,5,7,10,12,13,15,24,25,26,31,39,41,42,43,44,45,49,56,61,64,67,70,73,75,77,78,79,89,92,99,101,111,112,114}, {33,46,68,72,81,82,87,93,102,108,110}
1: {1,6,8,9,11,15,17,18,19,20,21,22,23,26,28,30,32,33,34,35,36,38,53,59,61,63,65,68,71,76,80,81,83,84,85,87,88,89,90,91,97,98,103,107}, {2,3,4,5,7,10,12,13,14,16,24,27,29,31,37,39,40,41,42,44,45,46,47,48,49,50,51,52,54,55,56,57,58,60,62,64,66,69,70,72,74,75,77,79,82,92,93,94,95,99,101,104,105,106,108,109,110,111,112,113,114}, {25,43,67,73,78,86,96,100,102}
1: {1,6,8,9,12,13,14,15,17,19,21,22,23,26,27,28,29,30,34,35,36,37,38,41,51,53,59,60,61,62,63,65,71,76,80,87,88,89,90,91,95,96,97,98,100,103,104,106,107,112,113}, {2,3,4,5,7,10,16,18,24,25,31,32,39,40,42,43,44,45,46,48,49,50,58,64,67,70,72,75,77,78,79,82,85,92,93,94,105,108,111,114}, {11,20,33,47,52,54,55,57,66,69,73,81,83,86,99,101,102,109,110}
1: {1,6,8,9,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,33,34,35,36,47,51,53,60,61,62,63,65,66,68,74,76,80,81,82,84,85,86,87,88,90,91,97,100,102,103,107,108,112}, {2,3,4,5,10,13,24,31,38,40,41,42,43,44,46,48,49,50,52,54,56,57,59,64,67,69,71,75,78,79,83,92,94,95,99,101,104,105,106,111,113,114}, {7,11,37,39,45,55,58,70,72,73,77,89,93,96,98,109,110}
1: {1,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,33,36,38,59,60,61,62,91,97,98}, {3,5,10,13,24,25,31,93}, {2,4,7,11,37,92,95,96}
1: {1,6,8,9,12,14,15,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,38,51,61,62,63,65,66,68,71,72,76,80,81,83,84,85,86,87,88,89,90,91,92,97,101,102,103,104,107}, {3,4,10,13,24,31,37,39,40,42,43,44,45,46,48,49,50,54,55,56,57,67,75,77,78,79,93,94,99,105,109,111,112,114}, {2,5,7,11,16,25,41,47,52,53,58,59,60,64,69,70,73,74,82,95,96,98,100,106,108,110,113}
1: {1,6,8,9,12,14,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,41,47,51,53,54,55,58,59,62,63,65,66,68,70,71,72,74,75,76,80,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,102,103,107,108,113}, {3,10,11,13,15,24,31,37,39,42,43,44,45,46,48,49,52,56,57,60,61,67,69,73,77,78,79,93,94,99,105,106,109,110,111,112,114}, {2,4,5,7,33,40,50,64,92,100,101,104}
1: {1,6,8,9,12,14,16,18,19,21,22,26,28,34,35,36,37,51,52,53,59,61,63,65,66,69,72,76,80,81,88,90,91,95,100,103,107,108,113}, {2,3,4,5,10,13,17,24,25,27,30,31,32,38,39,41,42,43,44,46,47,48,50,54,56,57,70,71,73,74,75,78,79,84,85,89,92,93,94,97,98,101,110,111,112,114}, {7,11,15,20,23,29,33,40,45,49,55,58,60,62,64,67,68,77,82,83,86,87,96,99,102,104,105,106,109}
1: {1,6,8,9,12,14,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,37,51,53,59,60,61,62,63,65,68,69,70,71,72,76,80,81,84,86,87,88,89,90,91,96,102,103,106,107,111,113}, {3,4,10,11,13,15,24,25,29,31,39,40,42,43,44,45,46,48,54,55,56,57,64,67,77,78,92,94,99,101,105,112,114}, {2,5,7,16,26,38,41,47,49,50,52,58,66,73,74,75,79,82,83,85,93,95,97,98,100,104,108,109,110}
1: {1,6,8,9,13,14,15,16,17,18,19,20,21,23,25,26,27,28,34,35,36,37,41,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,61,65,66,67,68,69,74,77,79,80,81,82,84,85,90,91,95,96,97,98,100,102,103,107,108,110,112,114}, {3,4,10,12,24,29,30,31,33,38,39,46,51,64,70,71,73,83,86,87,88,92,93,105,106,109,111,113}, {2,5,7,11,22,32,40,42,60,62,63,72,75,76,78,89,94,99,101,104}
1: {1,6,8,9,14,15,16,17,18,19,20,21,22,23,26,27,29,32,33,35,36,37,38,51,53,59,60,61,62,63,64,65,66,68,70,71,72,76,80,81,83,84,85,86,87,88,89,90,91,95,96,97,98,100,101,102,103,104,106,107,108,113}, {2,3,4,10,13,24,25,31,39,43,44,45,46,47,48,50,55,56,57,67,75,77,78,79,93,94,99,105,111,112,114}, {5,7,11,12,34,49,52,54,58,69,73,74,82,92,109,110}
1: {1,6,8,9,14,15,16,17,18,19,20,21,23,27,28,29,30,34,35,36,38,41,47,49,51,52,53,54,55,58,59,60,61,62,63,65,66,68,71,72,73,76,78,79,80,82,83,84,85,87,88,89,91,95,96,97,98,102,103,106,107,108,109,110,111,112,113}, {3,4,7,10,24,25,31,42,44,46,50,56,64,67,69,70,75,81,86,93,94}, {2,5,11,12,13,22,26,32,33,37,39,40,43,45,48,57,74,77,90,92,99,100,101,104,105,114}
1: {1,6,8,9,14,16,17,18,19,21,22,23,25,27,28,30,32,34,35,36,38,41,51,53,60,61,63,65,71,72,82,83,84,85,86,87,88,90,91,94,95,96,97,98,103,108,109,110,111,113}, {2,3,4,5,7,10,11,12,13,15,20,24,26,29,31,33,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,64,66,67,68,69,70,74,75,77,78,79,80,89,92,93,99,100,101,102,104,105,107,114}, {59,62,73,76,81,106,112}
1: {1,6,8,9,14,17,18,19,20,21,22,23,27,28,33,34,35,36,38,47,51,53,55,59,60,61,62,63,65,66,68,71,76,81,88,90,91,100,103,106,108,109,113}, {2,3,4,5,7,10,12,13,15,16,24,25,26,29,30,31,32,37,39,40,41,42,43,44,45,46,48,49,50,54,56,57,58,64,67,69,70,72,75,77,78,79,80,82,84,85,87,92,94,96,97,98,99,101,102,105,110,111}, {11,52,73,74,83,86,89,93,95,104,107,112,114}
1: {1,6,8,9,18,21,27,28,37,40,53,59,60,65,71,81,83,84,85,88,89,91,96,100,102,104,105,109}, {2,3,7,10,12,13,14,15,16,17,19,20,22,23,24,25,26,29,30,32,33,35,38,39,41,42,43,44,45,46,47,48,49,50,51,52,56,57,58,62,63,64,66,67,69,70,72,75,78,79,80,90,92,93,95,97,99,101,103,106,112,114}, {4,5,11,31,34,36,54,55,61,68,73,74,82,86,87,94,98,107,108,110,113}
1: {1,6,8,11,14,16,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,39,40,45,47,48,49,50,51,52,53,55,59,60,61,63,66,67,68,71,72,74,78,86,87,88,91,95,96,98,100,103,105,107,109,110,111,112,113}, {2,3,4,5,7,12,15,17,24,25,31,33,38,41,42,43,44,46,54,58,70,75,79,80,82,83,84,85,89,92,97,99,101,106,114}, {9,10,13,26,56,57,62,64,65,69,73,76,77,81,90,93,94,102,104,108}
1: {1,6,8,14,18,21,29,35,37,55,60,61,65,68,76,81,90,95,97,100,105}, {3,13,24,41,42,46,52,70,74}, {4,25,45,72,86,93,104}
1: {1,6,8,17,18,19,22,23,27,34,35,38,41,47,49,52,53,55,58,59,61,63,68,76,78,84,88,90,91,95,103,108,109,110}, {2,4,5,10,12,13,15,16,20,24,26,30,32,33,39,42,43,44,45,51,56,62,64,67,69,70,72,74,77,79,80,82,83,85,87,92,93,96,97,99,102,107,111,113,114}, {3,7,9,11,14,21,25,28,29,31,36,37,40,46,48,50,54,57,60,65,66,71,73,75,81,86,89,94,98,100,101,104,105,106,112}
1: {1,6,9,11,14,17,18,19,20,21,23,28,35,36,37,51,53,60,61,62,64,66,67,68,81,84,90,91,100,103,107,113}, {3,4,7,24,31,38,44,45,46,48,49,56,73,112}, {2,12,13,33,40,41,52,54,55,83,85,89,93,96,109}
1: {1,6,9,13,16,18,21,22,23,26,33,34,38,41,47,61,62,68,74,81,84,87,88,91,97,100,106,107,111}, {3,10,12,24,39,44,48,49,52,55,56,57,58,64,67,79,85,92,94,99,112}, {2,4,5,15,17,29,30,32,40,43,46,51,59,60,66,69,71,73,75,77,86,89,93,102,108,113}
1: {1,6,9,15,18,20,21,22,27,28,29,30,34,38,40,41,42,45,47,52,54,59,60,61,63,64,66,68,71,74,75,80,86,87,88,90,91,95,103,105,107,108}, {10,13,31,44,48,49,56,67,78,79,85,96,100,114}, {2,7,12,24,25,26,39,46,50,57,62,65,70,73,81,82,84,93,99,106}
1: {1,6,11,13,18,19,20,21,24,28,32,36,37,40,44,45,47,48,51,52,54,55,58}, {4,7,8,9,12,15,17,23,30,31,33,38,41,43,49,56}, {2,3,5,10,14,22,25,26,27,29,34,35,46,50,53,57}
1: {1,6,14,15,16,17,18,20,21,22,23,26,27,28,29,30,32,34,35,36,37,41,47,51,53,59,60,61,62,63,64,66,68,70,71,72,73,74,76,80,81,83,86,87,88,89,90,91,95,96,97,99,100,102,107}, {3,4,8,9,10,11,13,24,25,31,33,38,39,40,42,43,44,45,46,48,49,50,54,56,57,58,65,67,69,75,77,78,79,82,85,94,105,108,110,111,112,114}, {2,5,7,12,19,52,55,84,92,93,98,101,103,104,106,109,113}
1: {1,6,14,16,17,19,21,22,23,26,27,28,30,34,35,36,38,41,51,59,60,62,76,80,81,83,84,85,86,87,89,90,91,96,98,100,102,103,107,108,113}, {2,3,4,10,11,12,24,29,31,32,37,39,40,42,43,44,45,47,48,49,50,52,54,57,58,61,63,65,66,67,69,70,72,73,75,77,78,79,82,92,93,95,97,99,101,106,109,110,111,114}, {9,15,33,104}
1: {1,6,16,51,63,106}, {44,50,67,70}, 7
1: {1,6,21,27,37,41,51,63,67,74,83,91,93,111}, {2,4,10,13,14,20,22,26,29,30,39,48,57,69,73,79,90,92,103,109,114}, {60,62,66,68,76,80,82,84,87,104}
1: {1,6,21,59,60,75,94,104}, {3,4,62,93}, {2,5,92}
1: {1,7,8,9,11,14,16,19,21,27,30,33,34,35,36,51,53,61,63,65,68,71,81,86,88,90,96,102,103,106,110,113}, {3,5,10,13,15,31,40,42,44,45,46,49,52,54,56,57,58,64,67,70,75,78,79,94,95,105,108,111}, {2,4,6,12,17,18,20,22,23,24,25,26,28,29,32,37,38,39,41,43,47,48,50,55,59,60,62,66,69,72,73,74,76,77,80,82,83,84,85,87,89,91,92,93,97,98,99,100,101,104,107,109,112,114}
1: {1,7,8,9,14,16,19,21,26,27,28,32,34,35,37,38,41,49,51,54,59,60,61,66,68,71,76,81,82,84,87,88,91,92,93,96,101,103,104,106,108,109,112,113}, {2,3,4,5,6,10,11,12,13,15,17,18,20,22,23,24,25,29,30,31,33,36,39,40,42,43,44,45,46,47,48,50,52,53,55,56,57,58,62,63,64,65,67,69,70,72,73,74,75,77,78,79,80,83,85,86,89,90,94,95,97,98,99,100,102,105,107,110,111,114}, {}
1: {1,7,8,9,16,19,21,22,23,27,28,30,32,34,35,36,38,41,47,49,51,52,53,55,59,60,61,62,66,68,69,71,74,76,81,86,87,88,91,93,95,96,97,100,102,103,104,106,107,109,113}, {2,3,4,10,12,13,14,15,17,20,24,25,31,33,37,39,40,42,43,44,45,46,48,50,54,56,57,64,67,72,75,77,78,79,82,92,94,99,101,105,108,110,111,112}, {5,6,11,18,26,29,58,63,65,70,73,80,83,84,85,89,90,98,114}
1: {1,7,8,14,17,20,21,25,27,35,36,38,47,51,58,61,63,66,68,70,71,72,73,76,77,80,83,87,88,89,91,101,106}, {10,11,15,40,43,44,48,50,55,67,105}, {82,90,94,97,109}
1: {1,7,8,17,25,26,27,28,35,53,62,65,77,83,91,103,108,109,113}, {2,5,12,31,33,39,42,69,73,112}, {4,11,19,49,59,66,100,110,114}
1: {1,7,8,17,96,97}, {3,33,42,43,44,45,46,47,48,49}, {4,6,15,24,40,95,98,106}
1: {1,7,9,13,17,18,19,25,27,29,31,37,43,49,52,54,55,57,59,63,67,68,74,86,91,94,95,105,108,109,111,113}, {2,4,5,6,14,15,23,26,30,32,46,58,66,70,71,80,81,84,85,87,89,97,104}, {3,20,56,62,64,73,75,90}
1: {1,7,11,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,40,49,51,54,55,60,61,62,63,66,69,70,71,72,73,74,76,80,81,86,87,88,89,91,93,96,98,100,102,103,105,107,109,112,113}, {2,3,4,5,8,10,12,14,15,16,17,24,31,38,42,43,44,45,46,48,50,52,53,56,58,64,65,67,68,75,77,78,79,82,83,84,85,90,92,94,97,99,101,106,110,111,114}, {6,9,13,25,26,39,41,47,57,59,95,104,108}
1: {1,7,90}, {24,32,62}, {21,60,86,94,98}
1: {1,8,9,10,11,14,16,17,18,19,20,21,22,23,27,28,29,30,34,35,36,38,47,49,52,53,54,55,56,59,61,63,65,66,68,71,72,76,77,81,82,86,88,90,91,95,96,98,102,103,106,107,108,109,111,112,113}, {2,3,4,5,6,7,12,24,31,33,37,40,42,43,44,46,48,50,51,60,64,67,69,70,73,74,75,78,79,80,83,84,94,97,110,114}, {13,15,25,26,32,39,41,45,57,58,62,85,87,89,92,93,99,100,101,104,105}
1: {1,8,9,10,16,17,18,22,23,27,28,34,35,36,37,41,52,53,55,59,61,63,65,68,71,74,76,83,86,88,89,90,91,93,94,96,98,99,100,106,109,111,112,113,114}, {2,3,4,5,7,12,15,19,20,21,24,25,26,29,30,31,32,33,42,43,44,45,46,49,62,66,69,70,72,75,79,80,84,87,92,101,103,107}, {6,11,13,14,38,39,40,47,48,50,51,54,56,57,58,60,64,67,73,77,78,81,82,85,95,97,102,104,105,108,110}
1: {1,8,9,11,13,15,16,17,18,19,20,21,22,23,26,27,28,29,32,34,35,36,37,38,40,47,50,51,52,53,54,55,59,60,63,65,66,67,68,71,72,77,78,80,81,83,84,85,87,88,90,91,95,96,98,100,103,105,107,108,111,113}, {3,4,5,6,10,12,14,24,31,33,39,41,42,43,44,46,48,49,56,58,61,62,69,70,74,75,82,89,92,97,99,101,104,106,109,112,114}, {2,7,25,30,45,57,64,73,76,79,86,93,94,102,110}
1: {1,8,9,11,14,15,16,17,18,19,20,21,22,23,26,27,28,30,32,33,34,35,36,38,41,51,53,59,60,61,62,63,65,68,70,71,72,76,80,81,82,83,84,86,87,88,89,90,91,97,100,102,103,104,107,108}, {3,4,10,13,24,25,29,31,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,64,67,74,75,77,78,79,93,94,96,99,105,110,111,112,114}, {2,5,6,7,12,47,66,69,73,85,92,95,98,101,106,109,113}
1: {1,8,9,11,14,16,18,19,20,25,26,27,30,32,33,34,52,53,54,56,58,59,62,63,65,66,68,69,72,74,76,80,82,84,95,96,97,103,107,113}, {5,7,10,12,22,31,39,42,44,45,51,64,71,78,79,99,101,111}, {2,3,4,6,13,15,17,21,23,24,28,29,35,36,37,38,40,41,43,46,47,48,49,50,55,57,60,61,67,70,73,75,77,81,83,85,86,87,88,89,90,91,92,93,94,98,100,102,104,105,106,108,109,110,112,114}
1: {1,8,9,11,14,17,18,19,21,23,27,28,30,33,34,35,36,38,40,49,51,53,59,60,61,62,63,65,66,68,71,72,74,76,80,82,87,91,95,96,98,100,103,107,110,113,114}, {2,3,4,5,7,10,12,24,25,32,39,41,42,43,44,46,47,48,50,56,57,58,64,67,69,70,73,75,78,79,81,83,90,92,99,101,112}, {6,13,15,16,20,22,26,29,31,37,45,52,54,55,77,84,85,86,88,89,93,94,97,102,104,105,106,108,109,111}
1: {1,8,9,11,15,16,19,20,21,26,27,28,30,32,34,35,36,38,51,53,60,63,65,66,68,70,74,76,80,83,84,89,91,95,97,100,102,113}, {3,4,5,6,10,12,13,22,23,24,25,31,33,39,40,41,42,43,44,46,47,49,50,54,55,56,59,67,72,78,79,92,93,101,104,105,107,108,110,111,112,114}, {2,7,14,29,37,48,62,64,71,77,82,85,86,87,90,94,96,99,106}
1: {1,8,9,11,16,17,21,22,28,30,34,35,36,37,38,39,51,59,60,61,63,65,66,68,70,77,81,83,84,91,96,100,105,106,107,110,113}, {4,5,7,10,12,13,14,15,20,25,26,27,29,31,32,33,41,42,43,44,45,46,49,52,54,56,67,69,72,78,79,82,85,92,93,97,101,104,111}, {2,3,6,18,19,23,24,40,47,48,50,53,55,57,58,62,64,71,73,74,75,76,80,86,87,88,89,90,94,95,98,99,102,103,108,109,112,114}
1: {1,8,9,11,16,18,19,21,22,23,27,28,32,34,36,38,49,52,53,54,74,83}, {4,12,15,26,39,43,48,97}, {7,17,24,37,44,46,50,71}
1: {1,8,9,11,17,19,20,22,27,28,29,34,35,36,38,39,47,53,56,59,61,63,65,68,71,75,76,77,79,83,85,91,96,98,100,102,103,107,111,113}, {2,3,4,10,12,13,15,24,25,26,31,32,33,37,40,42,43,44,45,49,50,51,54,55,57,64,66,69,70,74,78,89,92,93,97,99,105,106,112,114}, {5,6,7,14,16,18,21,23,30,41,46,48,52,58,60,62,67,72,73,80,81,82,84,86,87,88,90,94,95,101,104,108,109,110}
1: {1,8,9,11,19,21,23,27,33,34,35,36,37,41,53,63,79,83,84,88,89,90,91,95,96,103,104,106,113}, {3,10,13,24,25,31,39,40,42,43,44,45,46,48,49,50,56,57,58,70,73,78,99,101,105}, {2,4,5,6,7,12,14,15,16,17,18,20,22,26,28,29,30,32,38,47,51,52,54,55,59,60,61,62,64,65,66,67,68,69,71,72,74,75,76,77,80,81,82,85,86,87,92,93,94,97,98,100,102,107,108,109,110,111,112,114}
1: {1,8,9,12,14,15,16,17,18,19,20,21,22,27,28,30,32,34,35,36,38,40,41,49,51,53,59,60,61,68,69,70,71,72,74,76,81,83,84,86,87,88,89,90,95,97,107,111,113}, {3,4,13,25,31,33,39,42,43,45,46,48,50,52,55,56,58,67,77,79,82,92,94,112,114}, {2,5,6,7,10,11,23,24,26,29,37,44,47,54,57,62,73,75,78,80,85,91,93,96,98,108,109,110}
1: {1,8,9,12,14,15,16,17,18,19,20,21,23,26,27,28,29,30,32,34,36,37,40,41,53,54,55,59,62,65,68,69,70,71,72,76,80,81,84,86,87,88,90,91,92,95,100,107,111,113}, {10,13,24,25,31,39,42,43,44,45,46,47,48,50,56,57,58,61,67,75,77,78,79,93,94,98,101,109,110,112,114}, {2,3,4,5,6,7,11,22,33,35,38,49,51,52,60,63,64,66,73,74,82,83,85,89,96,97,99,102,103,104,105,106,108}
1: {1,8,9,12,14,15,16,17,18,19,20,21,23,26,28,29,30,32,34,35,36,38,41,51,53,59,61,62,63,65,66,68,71,74,75,76,80,84,85,86,87,88,90,95,97,103,107,110}, {3,4,5,7,10,11,13,22,24,25,27,31,33,37,39,40,42,43,44,45,46,48,49,50,52,54,55,56,58,64,67,70,72,77,79,83,92,94,96,102,105,106,109,112,113,114}, {2,6,47,57,60,69,73,78,81,82,89,91,93,98,99,100,101,104,108,111}
1: {1,8,9,12,14,18,23,26,28,34,35,36,37,38,49,51,52,59,68,70,71,89,91,96,97,98,100,102,110}, {39,42,44,45,46,48,56,57,58,64,99,101,104}, {2,6,11,25,29,31,40,41,47,74,75,82,83,109,112}
1: {1,8,9,12,15,19,20,21,22,23,26,28,30,32,34,35,36,38,49,51,59,60,62,63,66,68,76,81,82,84,88,89,91,96,103,104,113}, {10,11,24,31,47,50,56,57,58,70,78,79,106}, {2,3,4,5,6,7,13,14,16,17,18,25,27,29,33,37,39,40,41,42,43,44,45,46,48,52,53,54,55,61,64,65,67,69,71,72,73,74,75,77,80,83,85,86,87,90,92,93,94,95,97,98,99,100,101,102,105,107,108,109,110,111,112,114}
1: {1,8,9,12,16,17,19,20,27,30,34,35,36,37,38,39,40,47,49,51,59,63,68,71,75,76,77,81,87,88,90,91,93,96,98,100,103,108,110,111,112,113}, {3,4,5,6,10,11,13,14,15,21,22,23,24,26,28,29,31,32,33,41,42,43,44,45,46,50,52,55,57,58,64,66,67,69,70,72,73,78,79,80,82,83,85,92,95,97,99,101,102,104,105,106,107,114}, {2,7,18,25,48,53,54,56,60,61,62,65,74,84,86,89,94,109}
1: {1,8,9,12,16,18,19,21,23,29,30,32,34,35,36,38}, {2,4,5,13,14,15,20,22,24,25,26,27,28,31,33,37,41}, {3,6,7,10,11,17,39,40,42}
1: {1,8,9,12,39,41,59,77,80}, {74,89}, {}
1: {1,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,39,47,53,54,56,60,61,62,63,64,65,66,68,71,76,80,81,83,84,85,86,87,88,89,90,91,92,95,97,98,100,102,105,107,109,113}, {2,3,4,5,10,13,24,25,31,33,40,41,42,43,44,45,46,48,49,50,52,55,57,58,59,67,69,70,73,74,75,77,78,79,93,94,96,99,101,103,104,108,111,112,114}, {6,7,11,12,51,72,82,106,110}
1: {1,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,30,35,36,38,51,53,54,59,60,61,62,63,66,71,74,76,78,81,82,84,86,87,90,95,96,97,100,102,103,106,107,113}, {3,4,6,10,11,12,13,24,25,29,31,33,39,40,41,42,43,44,45,46,48,49,50,52,56,57,58,65,67,70,72,75,77,79,80,85,93,94,99,104,105,110,111,112,114}, {2,5,7,32,34,37,47,55,64,68,69,73,83,88,89,91,92,98,101,108,109}
1: {1,8,9,14,15,16,17,18,19,20,21,23,27,28,30,32,33,34,36,37,51,53,59,60,61,62,63,65,73,76,81,83,84,85,87,88,89,91,100,102,103,104,107,108,113}, {3,10,13,31,39,42,43,44,46,47,48,49,50,56,57,58,67,69,70,77,78,79,92,94,99,109,112,114}, {2,4,5,6,7,11,12,22,24,25,26,29,35,38,40,41,45,52,54,55,64,66,68,71,72,74,75,80,82,86,90,93,95,96,97,98,101,105,106,110,111}
1: {1,8,9,14,15,16,17,18,19,59,60,61,63,65,66,68,69,71,72}, {4,12,67}, {10,11,62,64}
1: {1,8,9,14,15,17,18,19,20,21,22,23,26,27,28,34,35,38,41,47,61,63,68,76,80,81,84,90,96,97,98,102,103}, {3,4,6,10,11,12,13,24,25,31,32,33,39,40,42,44,45,46,50,54,56,57,58,64,66,67,69,71,72,73,75,77,78,79,91,92,93,94,95,99,101,104,105,106,109,111,112,113,114}, {2,5,7,16,29,30,36,37,43,48,49,51,52,53,55,59,60,62,65,70,74,82,83,85,86,87,88,89,100,107,108,110}
1: {1,8,9,14,15,18,19,20,21,22,23,26,27,28,29,34,35,36,37,47,51,52,54,55,60,61,63,65,67,68,71,72,73,74,76,77,80,81,82,86,88,89,90,91,95,96,97,100,102,103,107,108,109,111,113}, {3,4,5,7,10,12,13,24,25,31,33,38,39,40,41,42,43,44,46,49,53,56,57,58,62,64,66,69,70,75,78,79,85,92,93,94,99,101,112,114}, {2,6,11,16,17,30,32,45,48,50,59,83,84,87,98,104,105,106,110}
1: {1,8,9,14,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,38,41,51,54,59,60,63,66,74,76,80,81,83,84,85,86,88,89,91,95,97,100,103,105,107}, {2,3,4,10,12,13,24,25,31,39,42,43,44,45,46,47,48,49,50,52,55,56,57,58,61,62,64,67,68,70,71,72,73,75,77,78,79,82,90,92,93,94,96,98,99,106,108,111,112,113,114}, {5,6,7,11,15,27,33,37,40,53,65,69,87,101,102,104,109,110}
1: {1,8,9,14,16,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,37,38,50,51,52,59,61,63,65,76,81,83,84,85,86,87,88,90,96,100,102,103,107,111,113}, {3,7,10,12,13,15,24,25,26,31,39,42,43,44,45,47,49,54,56,57,58,67,68,69,70,71,75,77,78,79,80,94,98,99,106,108,110,112,114}, {2,4,5,6,11,29,40,41,48,53,55,60,62,64,72,73,89,91,92,93,95,97,101,104,105,109}
1: {1,8,9,14,16,17,18,19,21,22,23,27,28,33,34,35,38,41,53,59,60,62,63,65,66,71,76,80,81,82,83,84,85,86,87,88,89,91,96,98,102,103,108,109}, {3,4,6,10,11,12,13,15,24,25,26,29,31,36,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,57,58,61,64,67,72,74,75,77,78,79,90,93,99,101,105,106,110,111,112,114}, {2,5,7,20,30,32,51,56,68,69,70,73,92,94,95,97,100,104,107,113}
1: {1,8,9,14,16,17,18,19,21,22,28,29,32,34,35,36,37,40,54,58,59,67,69,74,76,86,91,94,95,97,100,103,104,105,107,108,109,110,111,114}, {2,3,5,6,7,10,12,13,15,20,24,26,27,30,31,33,38,41,42,46,51,53,61,62,63,64,65,66,70,71,72,75,77,78,79,83,84,85,87,89,90,93,96,101,106}, {4,11,23,25,39,57,60,68,73,80,81,82,88,92,98,99,102,112}
1: {1,8,9,14,16,17,20,23,25,27,28,31,34,35,36,37,43,44,49,50,51,57,59,61,63,66,69,70,71,76,77,81,83,88,89,93,94,95,96,100,104,106,107,108,111,113}, {2,3,4,5,6,7,10,12,15,21,22,24,26,29,30,33,38,39,40,41,42,45,46,47,48,53,54,55,56,58,60,64,65,68,72,75,78,79,80,82,84,85,90,92,97,98,99,101,102,103,105,109,110,112,114}, {11,13,18,19,32,52,62,67,73,74,86,87,91}
1: {1,8,9,14,16,18,19,21,22,23,27,28,30,34,35,36,37,38,41,51,53,58,59,61,63,65,66,67,71,76,80,81,83,84,86,87,91,94,95,96,100,103,104,107,108,112,113}, {2,3,4,5,6,7,10,11,12,13,15,17,20,24,25,26,29,31,32,33,39,40,42,43,44,45,46,48,49,50,52,54,56,57,64,69,70,75,77,78,79,82,85,88,90,92,98,99,101,102,105,110,114}, {47,55,60,62,68,72,73,74,89,93,97,106,109,111}
1: {1,8,9,14,18,21,22,23,28,32,34,35,36,37,40,48,50,51,52,55,58,59,60,61,62,63,65,66,68,76,77,82,83,88,90,91,96,97,98,100,103,104,106,109,113}, {2,4,10,12,13,24,25,29,30,31,33,41,42,44,46,56,57,69,70,71,78,79,89,92,93,94,101,111,112,114}, {3,5,6,7,11,15,16,17,19,20,26,27,38,39,43,45,47,49,53,54,64,67,72,73,74,75,80,81,84,85,86,87,95,99,102,105,107,108,110}
1: {1,8,9,14,21,22,23,27,28,30,34,35,37,41,46,47,50,54,56,58,60,62,65,66,67,69,71,79,80,81,85,89,94,98,99,100,108,109,113}, {2,3,4,6,7,10,20,24,25,29,31,32,33,36,39,40,42,43,44,45,48,49,51,52,53,63,64,70,72,74,75,76,78,83,87,90,92,96,102,103,107,110,111,112,114}, {5,13,18,26,38,55,57,73,84,86,88,93,101,104,105,106}
1: {1,8,9,16,17,18,19,20,21,23,27,28,30,34,35,36,37,40,44,45,48,50,51,52,53,56,58,59,60,61,62,63,66,67,68,71,72,74,75,76,77,78,79,81,83,84,87,91,95,96,98,100,102,104,106,107,108,110,112,113}, {2,3,10,12,13,22,24,25,26,31,33,39,42,47,49,55,57,69,73,80,85,89,92,93,109,111}, {4,5,6,7,11,14,15,29,32,38,41,43,46,54,64,65,70,82,86,88,90,94,97,99,101,103,105,114}
1: {1,8,9,16,17,18,19,22,23,25,26,28,31,34,35,36,37,56,59,61,63,77,78,83,87,97,106,108,113}, {2,3,7,10,11,12,13,15,24,27,30,32,33,39,40,41,42,43,44,46,48,50,51,52,55,57,58,62,67,68,69,70,75,81,85,101,103,105,107,112,114}, {4,5,6,14,20,21,29,38,45,47,49,53,54,60,64,65,66,71,72,73,74,76,79,80,82,84,86,88,89,90,91,92,93,94,95,96,98,99,100,102,104,109,110,111}
1: {1,8,9,16,18,19,20,21,25,30,32,34,35,47,52,53,59,63,64,65,68,70,71,74,75,76,77,80,81,83,84,85,86,87,88,89,90,91,96,97,98,100,102,103,106,107,108,109,113}, {3,10,13,31,40,42,43,44,45,46,48,73,78,79,82,93,101,105,112}, {5,6,7,14,15,22,29,33,37,38,49,50,51,54,55,56,66,67,69,72,94,104,110,111,114}
1: {1,8,9,17,18,19,21,23,27,28,30,34,35,36,37,53,60,61,62,63,64,66,68,71,78,81,83,85,88,89,90,91,95,96,97,102,103,107,109,113}, {2,3,4,10,12,13,24,25,29,31,33,38,39,41,42,43,44,45,46,47,48,49,50,55,56,57,59,67,75,77,79,87,92,98,99,101,104,112}, {5,6,7,11,14,15,16,20,22,26,32,40,51,52,54,58,65,69,70,72,73,74,76,80,82,84,86,93,94,100,105,106,108,110,111,114}
1: {1,8,9,17,18,19,21,27,37,40,47,51,52,53,59,74,80,81,91,93,94,96,98,100,104,106,107,108,109,110,111,113}, {2,3,4,5,10,11,12,14,15,16,20,22,23,26,28,29,30,31,32,38,39,41,42,43,44,45,46,48,54,56,57,58,60,61,62,63,64,65,66,68,70,72,73,75,76,77,79,82,84,85,86,92,97,99,105,112,114}, {6,7,13,24,25,33,34,35,36,49,50,55,67,69,71,78,83,87,88,89,90,95,101,102,103}
1: {1,8,9,17,19,21,23,27,34,35,36,37,40,55,59,60,63,71,76,88}, {2,3,5,7,10,11,12,13,15,20,24,25,26,28,29,30,31,32,33,38,39,41,42,43,44,45,46,47,48,49,50,52,53,56,57,61,62,64,65,66,68,69,70,72,75,79,80,83,85,89}, {4,6,14,16,18,22,51,54,58,67,73,74,84,86,87,90}
1: {1,8,9,18,19,20,21,22,23,30,34,35,36,51,59,61,62,63,68,76,80,86,91,100,103,107}, {3,10,24,25,31,33,40,42,43,44,45,50,56,64,67,70,75,78,79,82,84,89,92,94,96,97,101,104,105,106,114}, {2,4,5,6,7,11,12,13,14,15,16,17,26,27,28,29,32,37,38,39,41,46,47,48,49,52,53,54,55,57,58,60,65,66,69,71,72,73,74,77,81,83,85,87,88,90,93,95,98,99,102,108,109,110,111,112,113}
1: {1,8,9,18,19,21,22,23,26,27,30,34,35,36,38,51,60,61,63,65,66,68,71,76,80,81,87,91,95,96,102,106,107,113}, {3,4,5,10,12,13,24,25,31,33,37,39,40,42,43,46,47,49,52,56,57,64,67,69,70,75,78,79,82,85,92,97,98,101,105,111,114}, {2,6,7,11,14,15,16,17,20,28,29,32,41,44,45,48,50,53,54,55,58,59,62,72,73,74,77,83,84,86,88,89,90,93,94,99,100,103,104,108,109,110,112}
1: {1,8,9,18,20,21,23,27,28,30,34,35,36,38,53,60,66,71,76,81,82,83,84,87,88,89,90,91,96,100,103,104,113}, {2,3,5,6,10,13,14,15,24,25,29,31,32,33,39,41,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,64,67,68,69,70,74,75,77,78,79,92,93,94,97,99,101,107,110,111,112,114}, {4,7,11,12,16,17,19,22,26,37,40,51,59,61,62,63,65,72,73,80,85,86,95,98,102,105,106,108,109}
1: {1,8,9,19,33,36,37,53,57,66,67,68,76,80,86,106,113}, {24,56,58,78,101}, {4,10,13,18,20,29,43,46,64,70,71,82,85,88,90,95}
1: {1,8,9,28,34,36,37,60,62,66,70,76,81,82,84,88,101}, {2,5,10,13,29,35,38,39,40,42,55,57,63,64,75,77,78,79,83,85,87,114}, {3,4,6,7,11,12,14,16,18,27,30,31,32,33,52,54,59,65,67,68,69,80,86,89,90,104}
1: {1,8,9,36,54,55}, {30,68,75,80}, {}
1: {1,8,9,80,88}, {3,10,69}, {2,6,72}
1: {1,8,10,11,13,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,40,47,49,50,51,55,59,60,62,63,64,66,68,72,74,76,77,80,81,83,87,90,91,95,96,97,98,99,100,102,104,105,107,108,109,110,111,113}, {6,12,15,24,31,33,38,41,42,43,48,56,57,70,71,75,78,92,114}, {2,3,4,5,7,9,14,16,25,39,46,53,54,58,61,65,67,69,73,79,82,84,85,86,88,89,94,101,103,106,112}
1: {1,8,10,34,44,90,105}, {2,3,26,74}, {}
1: {1,8,11,14,18,22,23,26,27,28,29,33,34,35,36,38,41,51,53,58,59,60,62,63,65,66,68,72,76,81,82,83,85,87,89,91,93,94,95,98,102,103,104,109,113}, {2,3,4,5,9,10,12,13,15,17,19,20,24,25,30,31,32,37,39,40,42,43,44,45,46,47,48,49,50,52,54,56,57,61,67,69,70,71,73,75,77,78,79,80,84,90,92,96,97,99,101,105,106,107,110,111,112,114}, {6,7,16,21,55,64,74,86,88,100,108}
1: {1,8,11,16,17,18,19,20,21,23,27,28,30,32,34,35,36,38,41,51,52,53,59,60,61,63,65,70,71,74,80,82,83,84,85,86,87,88,91,97,98,100,106}, {3,4,5,10,13,15,22,24,25,31,33,37,39,42,43,44,45,46,47,49,50,55,56,57,58,64,67,69,75,77,78,79,92,93,94,96,99,104,105,108,111,112}, {2,6,7,9,12,14,26,29,40,48,54,62,66,72,73,81,89,90,95,101,102,103,109,114}
1: {1,8,11,19,20,23,27,28,30,32,33,34,35,36,37,40,51,52,53,55,60,61,65,76,81,85,90,91,95,100,102,114}, {2,5,6,12,24,31,38,39,41,42,43,44,48,56,62,63,64,66,67,69,70,73,75,77,78,79,80,83,87,89,93,94,96,99,101,104,106,109,110,111,112,113}, {13,14,17,26,29,45,46,47,49,50,54,57,58,59,68,71,72,74,82,84,86,88,92,97,98,103,105,107,108}
1: {1,8,11,23,29,30,40,49,58,59,60,65,71,86}, {4,15,25,42,48,69,78,89,99,114}, {5,33,83}
1: {1,8,12,28,29,61,68,89,103,105,111}, {3,4,11,22,31,54,55,58,67,71,72,81,82,99,101,114}, {15,24,36,51,84,85,96}
1: {1,8,14,16,19,20,22,23,27,29,30,34,36,37,51,53,55,63,68,76,95,100,106,107,108,111}, {7,10,12,15,17,24,25,33,39,42,43,56,62,74,78,79,92,101}, {3,4,13,18,26,28,32,38,40,41,46,47,48,49,52,57,71,80,84,86,87,89,90,93,98,99,104,105}
1: {1,8,15,16,17,18,20,21,23,26,27,28,30,32,34,35,36,37,41,54,60,61,62,63,66,68,69,71,74,76,80,81,83,84,85,87,90,96,97,100,102,103,113}, {3,10,13,22,24,25,31,33,38,39,42,43,44,45,46,47,48,49,50,53,56,58,65,67,77,78,79,92,93,94,99,101,111,112,114}, {2,4,5,6,7,9,11,12,14,19,29,40,51,52,55,57,59,64,70,72,73,75,82,86,88,89,91,95,98,104,105,106,107,108,109,110}
1: {1,8,16,17,18,19,24,27,28,34,35,37,40,47,48,50,52,53,54,55,56,59,61,65,67,71,73,74,76,82,83,84,85,88,91,95,105,107,108,112,113,114}, {3,4,7,10,14,20,21,22,23,30,31,32,36,39,42,43,44,45,46,49,51,58,60,62,63,64,66,68,70,72,75,77,78,79,80,81,87,96,98,106,110,111}, {5,6,9,15,29,38,57,69,86,89,90,93,94,97,99,100,101,103,104,109}
1: {1,8,16,17,19,20,21,22,23,27}, 24, {2,3,4,5,6,7,9,10,11,12,13,14,15,18,25,26}
1: {1,8,16,17,19,21,23,28,29,34,35,36,37,40,43,44,45,49,50,51,52,55,61,63,65,68,72,74,75,82,83,91,95,96,98,100,103,106,108,109,113}, {3,7,12,15,24,25,26,31,32,39,41,42,62,64,66,70,84,86,87,89,92,99,102,104}, {2,4,5,6,9,10,11,13,14,18,20,22,27,30,33,38,46,47,48,53,54,56,57,58,59,60,67,69,71,73,76,77,78,79,80,81,85,88,90,93,94,97,101,105,107,110,111,112,114}
1: {1,8,16,37}, {12,30,32}, {14,34,36,103}
1: {1,8,18,19,35,37,40,58,60,85}, {25,48,53,56,61,94}, {98,108}
1: {1,8,20,27,28,35,46,52,57,59,61,65,68,77,84,100,109}, {24,32,48,55,73,74,79,85,94,101}, {25,58,80,82,86,89,93,97,104,107,111}
1: {1,8,27,28,60,63,65,66,67,74,78,93,95,105,108}, 92, {26,41,56}
1: {1,8,27,30,34,36,50,52,61,63,83,88,90,91,98,102}, {24,26,38,44,56,67,70,77,78,97}, {2,4,5,15,20,25,29,40,47,48,49,51,54,55,60,68,82,85,89,93,94,101,105,110,112}
1: {1,8,28,29,30,32,34,35,36,37,40}, {2,4,5,7,31,38,42}, {3,6,33,39,41}
1: {1,8,34,51,74,90}, {15,22,31,46,50}, {}
1: {1,9}, {10,12}, {}
1: {1,9,11,14,15,18,19,20,21,22,23,27,29,32,34,35,36,37,41,43,44,47,48,50,51,52,53,55,58,59,60,61,62,64,65,66,67,68,72,73,75,76,77,81,82,91,92,95,101,102,103,104,106,107,109,110,111,113}, {4,5,7,8,12,13,38,42,56,57,69,70,79,83,84,85,89,94,100,112}, {2,3,6,10,16,17,24,25,26,28,30,31,33,39,40,45,46,49,54,63,71,74,78,80,86,87,88,90,93,96,97,98,99,105,108,114}
1: {1,9,12,16,17,19,23,25,26,29,30,34,37,41,59,60,62,68,71,72,82,83,84,86,88,89,92,97,100,102,103}, {10,13,31,40,43,44,47,58,77,78,79,85,94}, {11,33,50,65,70,87,101}
1: {1,9,15,20,21}, {}, {22,23}
1: {1,9,16,19,21,23,26,29,59,60,61,62,63,64,66,68,76,81,86,91,95,96,97,103,107,110}, {5,31,44,46,48,70,82,83,99,100,111,112}, {8,33,69,77,89,102,105}
1: {1,9,17,20,21,23,28,35,36,38}, 37, {}
1: {1,9,18,19,20,21,22,23,26,28,30,32,34,35,36,37,57,58,59,63,65,71,74,76,80,81,86,87,88,89,90,91,92,94,95,99,100,103,113}, {3,10,12,13,24,25,27,31,33,38,42,43,44,45,46,47,48,49,50,51,52,56,61,67,75,78,83,93,98,106,111,112,114}, {2,4,5,6,7,8,11,14,15,16,17,29,39,40,41,53,54,55,60,62,64,66,68,69,70,72,73,77,79,82,84,85,96,97,101,102,104,105,107,108,109,110}
1: {1,9,21,25,33,35,36,39,47,49,50,56,58,59,63,65,71,75,83,107,110}, {3,4,5,10,13,15,26,28,31,32,42,44,51,57,64,70,78,80,87,92,96,105,106,109,112,114}, {2,11,16,18,20,22,23,24,37,43,54,61,62,67,69,73,74,77,88,91,94,95,102,103,108}
1: {1,9,25,34,38,90,113}, {23,44}, 29
1: {1,10,15,17,20,37,55,59,67,81,91}, {31,33,56}, {11,25,90,94,103,109}
1: {1,10,24,40,77,87,91,110}, {8,61,68,70,97,103,108}, {81,86}
1: {1,11,17,18,22,23,27,34,35,40,45,50,65,76,100,103,104,106}, {2,7,13,15,21,24,32,39,51,54,55,60,75,79,96,97,108}, {}
1: {1,11,23,29,32,34,36,49,55}, {33,44,70}, {}
1: {1,11,44,63,84,100}, {2,46,70,86}, 33
1: {1,12,15,16,21,26,28,68,71,80,86,87,92,103,104}, {3,47,49,52,55,56,57,79,93,98,110}, {53,60,69,91}
1: {1,12,18,19,22,23,30,32,33,38,40,51,59,63,64,68,72,80,81,90,93,95}, {5,6,10,13,31,41,43,44,45,49,54,56,57,58,60,70,77,82,94,101,112}, {4,37,46,47,62,67,71,76,84,97,98,113}
1: {1,13,22,91,109}, {12,14,41,44,49,79,105}, {82,88,104}
1: {1,13,28,35,36,38,63,65,77}, {3,5,10,12,37,67,74}, {2,4,9,29,39,59,60,61,62,64,66,68,69,70,71,72,73,75}
1: {1,14,30,35,37,51,54,61,109}, {2,33,41,42,49,55,77,78}, {24,25}
1: {1,14,33,34,35,38,53,61,66,79,84,88,91,102}, {2,10,22,24,29,32,42,47,49,57,72,98,101,105}, {6,7,18,43,59,68,69,77,78,104,106,107}
1: {1,15,19,24,33,89,98,108}, {44,70,114}, {}
1: {1,15,19,34}, {}, {31,33}
1: {1,15,20,30,34,38,59,60,76,91}, {}, {12,23,24,42,43,44,50,88,97}
1: {1,16,17,18,19,28,32,59,63,65,71,73,77,80,81,84,86,90,91,95,97,98,100,102,105,108,109,111,113}, {2,3,4,7,10,12,13,29,31,43,44,45,46,67,68,69,70,75,76,78,79,83,85,87,92,93,94,99,101,103,104,106,112,114}, {64,66,72,74,82,88,89,96,110}
1: {1,16,17,20,21,22,59,68,69,71,72}, {2,39,45,61,67,70}, {60,73,74}
1: {1,16,18,27,33,34,41,51,53,55,60,61,62,63,72,80,83,90,96}, {13,23,25,56,57,69}, {6,37,44,54,58,66,86,104,107,109}
1: {1,16,22,39,60,102}, 13, {24,33,81}
1: {1,16,23,40,53,111}, {13,36,44,49,50,52}, {41,51,82}
1: {1,18,19,29,99}, {2,14,15,22,34,38,58,94,97}, {}
1: {1,18,19,68}, 111, {2,4,59,92,100,113}
1: {1,18,41,59,76,81,83,85,86,91,92,95,96}, {42,43,94}, {2,3,15,40,45,46,60,77,84,97,98}
1: {1,19,21,27,28,33,34,50,52,63,65,67,72,74,83,90,91,100}, {30,49,64,66,75,81,89,92,110}, {58,60,68,102}
1: {1,19,22,23,25,29,31,34,36,41,51,62,63,91,93,96,111,112}, {3,4,11,15,18,26,28,32,33,42,43,46,53,56,75,76,78,87,95,100,105,106}, {6,39,85,114}
1: {1,19,24}, 26, {}
1: {1,19,26,28,71}, 39, {}
1: {1,20,22,30,37,55,110}, {38,56,99}, 84
1: {1,20,23,35,36,69,85,86,96}, {25,43,46,54,82,99,101,114}, {24,70,81,102,106}
1: {1,20,37,47,70,93,96,97,109}, {80,92}, {}
1: {1,21,23,61,96,105}, {2,15}, {20,22,59,60}
1: {1,21,28,30,91}, {66,67,111,112}, 29
1: {1,21,38,55,78,84,85}, {7,93,99}, {37,89}
1: {1,21,95,97,104,107}, {}, {6,9,23,52,99}
1: {1,23,36,38,47,52,55,56,57,59,61,62,72,76,100,103,109}, {12,16,17,70,85,87,92,97}, {2,7,8,21,30,40,41,46,86,101,106}
1: {1,27}, {13,26}, 91
1: {1,28}, 29, {}
1: {1,28,29}, {}, {}
1: {1,28,30,51,52,53,54}, 43, 44
1: {1,33,36,37}, {29,31}, {}
1: {1,35,45,59}, {3,22,42}, {25,64,66,69,90,93,102,105}
1: {1,35,61,70}, 29, 36
1: {1,36,47,48,99,110}, {}, {}
1: {1,55}, {14,70}, 109
1: {1,55,56,73,82}, {3,14,42,72,75}, {28,52,77,86}
1: {1,59}, {33,74}, 49
1: {1,59,60,61,67}, {2,3,62,71}, {68,69,72}
1: {1,60,84,113}, {12,21,26,58}, {}
1: {1,63,65}, {}, {44,46}
1: {1,63,71,74,81,88,98,109,110}, {30,41,42,56,70,86}, {13,15,20,77,78}
1: {1,65,68,111}, {}, {3,5,60,97}
1: {1,96}, {}, {81,82}
1: {1,111}, 101, {14,97}
1: {2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,50,51,52,53,57,58,59,60,61,62,63,64,65,67,68,72,73,75,76,77,78,79,82,83,86,87,88,89,90,91,93,95,96,97,98,102,103,104,105,107,108,109,110,111,113,114}, {1,22,23,24,25,31,42,49,54,56,66,69,70,71,80,81,84,92,94,99,100,106,112}, {21,55,74,85,101}
1: {2,3,4,5,6,8,9,12,13,14,15,16,17,18,19,20,21,25,26,27,28,29,30,32,34,35,36,38,39,40,47,48,51,53,54,55,56,59,61,65,66,68,72,73,74,75,76,80,81,83,84,86,87,88,90,91,96,97,98,99,100,102,103,105,106,107,110,111,112,113}, {10,24,31,33,37,42,45,58,67,69,71,77,78,82,94,101,114}, {1,7,11,22,23,41,43,44,46,49,50,52,57,60,62,63,64,70,79,85,89,92,93,95,104,108,109}
1: {2,3,4,5,6,8,10,11,13,16,18,19,21,23,25,28,29,32,34,35,36,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,57,58,59,61,64,66,67,68,69,72,73,74,77,78,79,83,91,92,94,95,97,98,99,100,102,104,105,107,108,110,111,112,113,114}, {1,7,9,12,14,15,17,20,22,26,27,30,33,38,41,51,56,60,62,65,70,71,75,76,80,81,82,84,85,87,88,89,93,96,103,106,109}, {24,31,53,63,86,90,101}
1: {2,3,4,5,6,10,11,13,17,18,19,20,21,22,23,29,30,32,34,35,36,37,38,40,42,43,44,45,46,47,48,50,52,55,56,57,58,60,61,63,64,65,67,68,72,75,78,82,83,87,90,91,93,95,96,97,98,99,100,103,104,105,106,107,108,109,110,111,112,113}, {7,8,12,14,15,16,24,26,27,31,33,39,41,49,51,62,66,69,70,71,79,80,81,84,85,86,88,89,92,94,101,114}, {1,9,25,28,53,54,59,73,74,76,77,102}
1: {2,3,4,6,8,9,10,11,13,16,17,18,19,20,21,22,24,25,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,59,60,61,64,66,67,68,69,72,73,74,75,76,77,78,86,87,88,90,91,92,95,96,98,99,100,101,102,104,105,106,107,109,110,111,112,114}, {1,7,12,14,15,23,26,27,28,33,38,49,56,57,58,62,63,65,70,71,79,80,81,83,84,85,89,94,97}, {5,82,93,103,108,113}
1: {2,3,4,6,8,9,10,16,17,18,19,20,21,22,27,29,32,34,35,36,37,39,41,43,44,45,47,48,49,50,52,53,54,55,56,57,59,61,63,64,65,67,68,69,75,76,77,78,80,91,96,98,99,101,102,104,106,107,109,110,111,112,113}, {5,7,12,13,14,23,25,26,30,31,33,38,40,51,62,70,71,74,79,82,83,85,87,88,89,92,97,100,105}, {1,11,15,24,28,42,46,58,60,66,72,73,81,84,86,90,93,94,95,103,108,114}
1: {2,3,4,6,9,10,11,13,15,16,17,18,19,20,21,24,26,28,29,31,32,34,36,37,39,40,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,72,74,75,77,78,79,87,90,91,95,96,98,99,100,101,104,105,106,107,108,109,110,112,113,114}, {1,5,7,8,12,14,22,23,25,27,30,33,35,38,41,51,62,63,69,70,71,73,76,80,81,82,83,84,85,86,88,89,92,93,94,97,102,103,111}, {}
1: {2,3,4,6,10,11,13,16,17,18,19,21,23,24,25,28,29,30,31,32,34,37,40,41,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,67,72,73,74,75,77,78,87,93,95,99,100,101,104,105,107,108,110,112,114}, {1,5,8,12,22,26,27,33,39,51,62,65,66,68,69,70,71,76,80,81,82,83,84,85,88,89,90,92,94,96,97,102,106,109,111,113}, {7,9,14,15,20,35,36,38,42,79,86,91,98,103}
1: {2,3,4,8,9,12,14,15,16,17,19,20,21,23,24,25,26,27,28,30,32,33,34,35,36,37,39,42,47,48,50,52,53,55,59,61,62,64,68,72,75,76,77,80,81,86,87,88,90,95,97,101,104,107}, {7,10,11,13,31,41,43,45,49,51,57,58,67,70,71,73,78,79,82,83,84,85,89,93,94,99,100,106,109,110,112,113,114}, {1,5,6,18,22,29,38,40,44,46,54,56,60,63,65,66,69,74,91,92,96,98,102,103,105,108,111}
1: {2,3,4,9,10,14,15,16,17,18,19,21,24,26,28,29,30,33,35,37,38,40,47,48,50,52,53,57,59,61,63,65,67,68,71,72,75,76,77,80,83,86,87,88,91,95,96,100,105,107,109,111,113}, {5,7,12,22,23,25,27,31,32,36,39,41,42,43,44,46,49,51,54,56,58,62,64,69,70,78,79,81,85,92,94,97,98,99,101,102,104,110,112}, {1,6,8,11,13,20,34,45,55,60,66,73,74,82,84,89,90,93,103,106,108,114}
1: {2,3,5,6,7,8,9,10,11,13,19,20,21,23}, {1,4,12,14,15,16}, {}
1: {2,3,5,6,8,9,10,11,12,13,14,17,18,19,20,21,22,23,26,27,30,32,33,34,35,36,37,38,39,40,53,59,60,61,63,64,65,66,74,76,79,81,83,86,87,89,91,97,98,100,103,104,106,107,112,113}, {4,16,24,25,31,41,42,45,49,51,54,55,56,57,58,67,69,70,71,75,77,78,82,84,90,92,93,96,99,102,108,109,110,114}, {1,7,15,28,29,43,44,46,47,48,50,52,62,68,72,73,80,85,88,94,95,101,105,111}
1: {2,3,5,6,8,9,10,11,13,14,16,18,19,20,21,22,23,27,28,29,30,32,34,35,36,37,43,44,45,46,47,49,50,51,52,53,55,57,58,59,61,63,64,65,66,67,68,69,74,76,77,78,79,87,90,91,95,98,99,101,102,104,106,107,108,110,111,112,113,114}, {1,7,12,15,24,26,31,33,38,40,42,48,56,70,71,73,75,80,81,83,84,85,88,89,96,97,100,103,105}, {4,17,25,39,41,54,60,62,72,82,86,92,93,94,109}
1: {2,3,5,8,9,10,11,13,16,18,19,20,21,22,23,25,28,29,31,32,34,35,36,37,40,42,43,44,45,46,47,48,49,50,51,52,54}, {1,4,7,12,14,15,24,26,27,30,38,41,53}, {6,17,33,39}
1: {2,3,5,8,10,11,17,18,19,20,22,24,27,29,30,31,32,34,35,36,37,39,40,43,44,45,46,48,49,50,52,54,55,57,59,60,61,64,66,67,68,72,75,77,86,87,90,91,93,95,98,101,103,104,105,106,107,109,110,113,114}, {4,9,12,15,16,21,25,33,38,41,51,53,63,65,69,70,71,74,78,79,82,83,84,85,89,94,96,97,102,112}, {1,14,23,26,28,42,73,76,88,99,100,111}
1: {2,3,5,8,28,35}, {1,4,10}, {6,7}
1: {2,3,6,7,8,9,11,12,15,16,18,19,20,21,22,23,25,26,27,29,30,32,34,35,36,38,42,43,44,47,48,50,51,52,53,54,55,59,61,63,64,65,66,68,72,74,76,77,79,81,83,84,87,90,91,98,99,100,102,103,105,107,110,111,112,113,114}, {4,5,10,13,24,33,39,41,45,49,56,57,67,69,70,71,75,78,80,85,88,89,92,93,101,104}, {1,14,17,28,31,37,40,46,58,60,62,73,82,86,94,95,96,97,106,108,109}
1: {2,3,6,7,8,9,11,13,17,18,19,21,22,23,29,30,32,34,35,36,37,38,40,43,47,48,50,53,63,65,66,67,68,75,77,78,80,84,87,88,91,94,95,96,99,102,103,105,106,107,108,109,111,113,114}, {1,4,5,12,14,15,20,24,25,26,27,28,31,33,39,42,44,45,46,49,51,55,56,57,59,60,61,62,69,70,71,73,76,79,82,85,86,89,92,93,97,101,110,112}, {10,16,41,52,54,58,64,72,74,81,83,90,98,100,104}
1: {2,3,6,8,9,10,11,12,14,16,17,18,19,20,21,22,23,28,29,30,32,33,34,35,36,37,38,41,43,44,45,46,47,48,49,50,52,53,55,59,60,61,62,63,64,65,66,67,68,71,72,74,76,81,86,87,90,95,96,101,103,107,109,113,114}, {1,4,7,13,24,25,27,31,39,40,42,51,56,58,70,73,75,77,78,79,80,83,84,85,89,93,97,98,99,102,105,106,108,110,111,112}, {5,15,26,54,57,69,82,88,91,92,94,100,104}
1: {2,3,6,8,9,10,11,13,16,17,18,19,20,21,22,23,24,27,28,29,32,34,35,36,37,39,40,41,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,64,65,66,67,68,69,72,74,75,77,78,79,82,87,90,91,92,95,99,101,102,103,104,105,106,107,108,109,110,111,112,113,114}, {4,5,7,12,14,15,25,26,30,31,33,42,62,70,71,80,81,83,84,85,88,89,96,97,100}, {1,38,46,63,73,76,86,93,94,98}
1: {2,3,6,8,9,10,11,13,16,17,18,19,20,21,23,34,35,36,37,40,45,48,50,52,54,55,57,58,59,60,61,67,76,77,88,91,95,100,105,107,109,112,113}, {1,4,5,7,12,14,15,22,24,25,26,27,28,29,30,31,32,33,38,39,41,42,43,44,46,47,49,51,53,56,62,63,64,65,66,68,69,70,71,72,73,74,75,78,79,80,81,82,83,84,85,86,87,90,92,93,94,96,97,98,99,101,102,103,104,106,108,110,111,114}, 89
1: {2,3,6,8,9,11,13,15,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,37,40,45,48,50,51,52,53,54,55,57,59,61,62,63,65,66,67,68,71,72,74,76,79,80,81,83,84,85,86,87,90,91,95,96,97,100,101,102,103,105,106,107,108,110,112,113}, {1,4,7,12,24,31,39,43,46,49,56,60,70,73,75,77,78,89,94,98,99,111,114}, {5,10,14,16,29,38,41,42,44,47,58,64,69,82,88,92,93,104,109}
1: {2,3,6,9,10,11,13,16,17,18,19,20,21,24,29,31,32,34,35,37,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,57,59,60,64,65,67,68,72,73,74,75,77,78,79,81,82,87,91,95,96,98,99,101,102,104,105,106,107,108,109,110,111,112,113,114}, {1,4,5,8,12,14,22,23,25,26,27,30,33,36,38,49,56,61,62,63,69,70,71,76,80,84,85,88,89,90,93,97,100,103}, {7,15,28,47,58,66,83,86,92,94}
1: {2,3,6,9,16,17,20,22,24,32,37,39,40,42,44,46,47,48,57,59,60,67,68,69,72,73,74,75,77,78,86,87,92,93,95,96,102,104,107,108,110,112,114}, {4,5,8,12,14,15,26,27,31,41,56,62,70,71,76,81,85,97,111}, {1,18,21,53,91,94,98,100,113}
1: {2,3,6,20,22,28,29,32,34,35,36,37,39,42}, {4,5,17,18,19,31,33}, {1,15,23,30,38,40,41}
1: {2,3,7,8,9,11,13,16,17,19,20,22,23,28,29,30,34,35,36,38,39,40,41,43,44,45,46,49,50,51,52,55,57,58,59,61,65,67,68,70,71,72,75,77,78,81,86,87,88,89,90,91,96,97,98,100,101,102,103,104,107,108,109,111,112,113,114}, {4,10,12,15,18,24,25,31,42,47,48,56,60,62,69,73,74,76,84,93,94}, {1,5,6,14,21,26,27,32,33,37,53,54,63,64,66,79,80,82,83,85,92,95,99,105,106,110}
1: {2,3,8,9,10,11,13,15,17,18,19,21,26,27,28,31,32,34,35,40,42,43,45,46,47,48,49,50,52,53,54,55,56,57,59,63,64,65,67,68,74,75,77,78,79,82,83,91,93,95,96,101,102,104,105,106,113,114}, {1,4,5,7,12,14,16,22,23,29,30,36,44,51,70,71,76,80,81,84,85,88,89,90,97,100,103,111,112}, {6,20,24,25,33,37,38,39,41,58,60,61,62,66,69,72,73,86,87,92,94,98,99,107,108,109,110}
1: {2,3,8,9,11,14,15,16,17,18,19,20,22,23,28,29,32,33,34,35,36,38,42,44,47,48,50,52,53,54,55,56,57,59,61,63,65,66,68,76,77,84,85,86,88,90,96,98,100,103,104,107,108}, {10,13,24,70,82,99}, {1,4,5,6,7,12,21,25,26,27,30,31,37,39,40,41,43,45,46,49,51,58,60,62,64,67,69,71,72,73,74,75,78,79,80,81,83,87,89,91,92,93,94,95,97,101,102,105,106,109,110,111,112,113,114}
1: {2,3,8,9,11,16,17,18,19,21,22,23,24,28,34,35,36,37,40,47,52,53,55,57,59,60,61,62,63,66,67,68,69,74,75,76,77,78,90,91,92,95,100,101,103,104,105,106,108,109,110,113}, {1,4,10,12,13,20,25,30,31,32,33,38,39,41,42,43,44,45,48,49,51,56,58,64,70,71,73,79,80,82,83,85,86,87,89,94,96,97,98,111,114}, {5,6,7,14,15,26,27,29,46,50,54,65,72,81,84,88,93,99,102,107,112}
1: {2,3,8,10,11,13,14,15,19,20,21,28,29,32,34,35,36,37,39,40,42,43,44,45}, {1,4,9,12,22,30,31,33,38}, {18,41}
1: {2,3,9,10}, 1, {4,7,11}
1: {2,3,9,10,13,14,16,18,19,20,21,27,28,29,30,32,34,35,36,37,38,39,40,43,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,63,66,67,68,69,72,73,74,75,76,77,79,81,87,90,91,92,95,98,99,100,102,104,106,107,108,110,113,114}, {1,4,5,6,7,8,11,12,15,23,24,25,26,31,33,41,42,45,46,61,64,65,70,71,78,80,83,84,85,88,89,94,96,101,103,111,112}, {17,22,44,82,86,93,97,105,109}
1: {2,3,9,10,15,16,18,19,20,24,27,28,29,31,32,33,34,35,36,42,59,61,68,71,72,74,77,83,84,85,86,91,95,96,100,101,102}, {25,30,37,39,41,73,80,99}, 62
1: {2,3,9,15,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,39,47,48,49,50,52,55,57,58,59,60,61,62,63,65,66,68,71,74,75,81,83,84,85,87,88,90,91,95,96,98,103,107,108,110,111,113}, {5,10,14,25,26,37,40,41,42,44,46,51,56,64,67,69,70,73,77,78,79,80,82,93,94,100,101,105,109}, {6,7,11,24,33,43,45,72,76,86,89,92,97,99,102,106,114}
1: {2,4,5,6,7,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,27,28,29,30,32,34,35,36,38,39,41,51,59,61,62,63,65,66,71,72,76,77,80,81,82,83,86,87,88,89,90,94,96,97,99,100,102,103,106,107,108,111}, {1,3,10,13,24,31,33,37,40,42,43,44,45,46,47,48,49,50,52,54,56,57,58,64,67,69,73,74,75,78,79,93,101,105,109,110,112,113,114}, {53,55,60,68,70,84,85,91,92,95,98,104}
1: {2,4,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,41,51,53,59,60,61,62,63,65,66,68,70,71,72,76,80,81,83,84,85,87,88,89,90,91,95,96,97,98,102,103,107,113}, {3,10,13,24,31,33,39,40,42,44,45,46,47,48,49,50,52,54,55,56,57,58,67,75,78,94,101,105,112,114}, {1,7,11,25,37,43,64,69,73,74,77,79,82,86,92,93,99,100,104,106,108,109,110,111}
1: {2,4,5,6,8,9,12,14,15,16,17,18,19,21,22,23,27,28,29,30,33,34,35,36,38,44,47,51,53,59,60,61,62,63,65,66,68,70,71,77,78,80,81,82,84,85,86,87,88,89,90,93,94,96,97,98,102,103,106,108,109,110,112}, {3,10,13,24,25,31,40,42,43,45,46,49,50,52,54,56,57,58,64,67,69,73,74,79,95,99,100,105,111}, {1,7,11,20,26,32,37,39,41,48,55,72,75,76,83,91,92,101,104,107,113,114}
1: {2,4,5,6,8,9,14,17,18,19,21,22,23,27,29,32,34,35,38,41,47,51,53,59,60,61,63,66,68,71,76,80,81,84,86,91,93,96,97,98,102,104,107,113}, {3,10,11,13,15,24,25,26,33,37,39,40,43,44,46,48,54,64,67,73,75,77,78,79,83,94,95,99,101,109}, {7,12,52,62,65,72,74,85,100,106}
1: {2,4,5,6,8,9,15,16,17,18,19,20,21,22,23,25,26,27,28,30,32,33,34,35,36,37,38,47,48,49,51,59,61,63,65,71,72,76,79,81,83,84,86,89,91,93,95,96,98,103,107,112,113}, {3,10,11,13,24,39,40,42,43,44,56,57,58,62,69,70,74,75,78,82,85,92,94,97,99,101,105,106,108}, {1,7,12,14,29,31,41,45,46,50,52,53,54,55,60,64,66,67,68,73,77,80,87,88,90,100,102,104,109,110,111,114}
1: {2,4,5,6,8,12,14,16,18,19,20,23,24,28,29,30,31,32,35,37,38,40,42,47,49,52,53,59,61,63,65,68,72,75,76,79,80,82,83,84,87,89,90,92,95,96,97,98,99,103,104,105,106,108,110,111,112,113}, {1,3,7,9,10,11,13,15,17,21,22,25,26,27,33,34,36,39,41,43,44,45,46,48,50,51,54,55,56,57,58,60,62,64,66,67,69,70,71,73,74,77,78,81,85,86,88,91,93,94,100,101,102,107,109,114}, {}
1: {2,4,5,6,8,13,14,17,18,19,20,21,23,26,28,29,30,33,34,35,36,38,41,47,50,51,52,58,59,61,63,67,68,72,75,76,77,78,79,80,81,83,85,88,89,91,93,95,96,98,102,103,106,107,108,110,112,113}, {1,3,9,10,12,15,16,22,24,25,27,31,32,39,40,42,44,45,46,48,49,53,54,55,56,57,64,65,82,84,86,87,92,99,101,105}, {7,11,37,43,60,62,66,69,70,71,73,74,90,94,97,100,104,109,111,114}
1: {2,4,5,6,9,10,11,13,18,19,20,21,27,28,29,30,32,34,35,36,37,39,40,42,43,44,45,47,48,49,50,51,52,54,55,57,58,59,61,64,68,69,72,73,74,76,78,86,91,92,95,99,100,104,105,107,108,111,112,113,114}, {1,3,7,8,12,14,15,16,17,22,23,24,25,26,31,33,38,41,46,53,56,60,62,63,65,66,67,70,71,75,77,79,80,81,82,83,84,85,87,89,90,93,94,96,97,98,103,106,109,110}, {88,101,102}
1: {2,4,5,8,9,11,12,14,16,17,18,19,20,21,23,28,30,32,34,35,36,38,47,50,51,52,53,55,59,61,63,65,66,68,69,72,76,80,83,87,88,90,91,94,95,96,98,100,102,103,107,108,109,110,111,113}, {13,15,26,31,39,44,46,54,56,70,74,78,79,92,99,101,105,106,114}, {1,3,6,7,10,22,24,25,27,29,33,37,40,41,42,43,45,48,49,57,58,60,62,64,67,71,73,75,77,81,82,84,85,86,89,93,97,104,112}
1: {2,4,5,8,9,11,16,18,19,20,21,22,23,27,28,30,32,33,34,35,36,38,51,52,53,59,61,62,63,65,66,67,70,71,72,73,74,76,79,80,81,82,83,84,87,88,89,90,91,93,96,97,100,101,102,103,104,105,106,107,108,111,112}, {1,3,10,15,24,25,29,37,39,44,47,48,49,54,55,56,57,68,75,78,86,92,95,99,114}, {6,7,13,14,17,31,40,41,43,45,46,50,58,60,64,69,77,94,98,109,110}
1: {2,4,5,8,9,13,14,17,18,19,21,23,25,26,27,28,29,34,36,37,40,47,50,51,52,53,55,57,58,59,61,63,65,77,80,86,91,94,95,96,100,102,105,106,107,112,113}, {1,3,6,7,10,12,15,22,24,30,31,32,33,35,38,39,41,42,43,44,46,48,49,54,56,60,62,64,67,69,70,71,72,73,75,76,78,79,81,82,83,84,85,88,89,90,92,93,97,98,101,103,104,108,109,110}, {11,16,20,45,66,68,74,87,99,111,114}
1: {2,4,5,8,14,19,28,35,63,66,72,80,85,91,95,102,104,108}, {3,29,39,43,56,101,111}, {49,52,60,78,114}
1: {2,4,5,20,32,45,48,55,67}, {10,15,22,24,29,39,41,43,50,56,84,85}, 109
1: {2,4,6,8,9,16,17,18,19,20,21,26,27,30,32,34,35,36,38,47,53,63,66,68,70,71,74,75,77,81,88,89,91,93,95,96,98,102,103,106,108,109,110,113}, {1,3,11,15,23,24,29,31,33,37,40,42,43,44,45,46,50,51,54,55,56,62,67,82,85,97,101,104,105,107,111}, {10,22,25,41,48,49,52,60,64,65,69,72,73,78,80,92,94,99,100,112,114}
1: {2,4,6,8,14,16,17,20,22,25,26,27,28,30,35,38,52,59,60,61,62,66,76,77,80,81,83,84,85,86,91,93,96,103,108,113}, {7,10,24,44,48,49,58,64,69,73,78,82,92,99,111,112}, {1,3,5,9,11,12,13,15,21,29,31,32,33,36,39,40,41,43,45,46,47,50,51,53,54,55,56,57,65,67,68,71,72,75,79,87,88,89,90,94,95,98,100,101,102,104,105,106,107,109,110,114}
1: {2,4,6,8,28,29,30,32,35,38,41,43,48,50,52,54,57,59,62,63,73,79,80,83,85,86,89,91,93,94,96,98,110,113}, {3,12,13,25,26,39,40,58,69,78,81,84,95,99,105,109}, {17,19,33,45,46,47,51,56,71,112,114}
1: {2,4,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,33,34,35,36,47,51,53,55,59,61,62,63,64,66,68,72,76,80,81,82,83,84,86,87,88,89,92,95,97,100,105,107}, {3,10,11,13,31,40,42,43,44,45,49,50,56,58,67,69,73,78,79,93,94,99,101,104,111,112,114}, {5,6,7,12,24,25,37,38,39,41,46,48,52,54,70,71,74,75,77,85,91,96,98,102,106,108,109,110,113}
1: {2,4,9,11,16,17,18,19,20,21,23,27,28,33,34,35,36,38,51,52,53,55,59,60,61,63,65,68,71,74,75,76,78,80,81,82,84,86,87,88,89,91,93,95,96,97,103,104,106,107,108,111,113}, {3,10,12,30,39,42,43,44,45,48,49,56,57,58,64,67,69,72,79,99,100,109,112,114}, {1,5,6,7,8,13,14,15,22,24,25,26,29,31,32,37,40,41,46,47,50,54,62,66,70,73,77,83,85,90,92,94,98,101,102,105,110}
1: {2,4,9,12,14,15,17,18,19,26,30,32,33,35,36,38,51,52,54,61,63,68,70,71,72,74,79,80,83,87,91,95,97,98,102,106,108,112}, {10,22,31,41,42,43,44,45,46,67,77,78,82,90,94,99}, {1,7,11,13,16,23,28,48,49,50,57,58,59,60,64,66,73,75,85,86,103,105,107,109,111,114}
1: {2,4,9,16,21,27,36,39,59,70,87,91,98,103}, {10,40,50,72,79,100}, {7,11,77,112}
1: {2,4,10,15,17,18,58,66,78,82,92,98,105}, {12,37,46,56,69}, {}
1: {2,4,10,20,32,52,103,106,112}, {12,14,24,25,31,77,78,84,89}, {19,22,53,57,63,76,80,94,102,107}
1: {2,4,16}, 3, 1
1: {2,5,6}, 7, {4,8}
1: {2,5,6,7,8,9,10,13,14,17,19,20,21,22,23,25,27,29,30,33,34,35,36,37,38,40,41,44,45,47,50,52,53,55,56,57,58,59,60,61,63,64,67,71,72,74,76,79,80,81,83,87,90,91,93,94,95,98,100,102,105,106,107,108,109,110,112,113}, {1,4,11,12,15,26,31,54,68,75,77,78,82,85,92,97,101,103,104,111,114}, {3,16,18,24,28,32,39,42,43,46,48,49,51,62,65,66,69,70,73,84,86,88,89,96,99}
1: {2,5,6,7,8,9,10,14,15,16,18,19,21,26,27,28,29,30,33,34,35,36,38,47,52,53,55,59,61,63,65,68,70,71,72,76,77,80,81,83,84,85,86,87,88,89,91,93,95,96,97,98,99,102,103,106,107,108,112,113}, {1,3,4,12,22,23,39,40,42,44,45,48,51,54,56,58,64,67,75,82,92,101,104,105,111}, {11,13,17,20,24,25,31,32,37,41,43,46,49,50,57,60,62,66,69,73,74,78,79,90,94,100,109,110,114}
1: {2,5,6,7,8,12,13,15,16,18,20,21,23,26,27,30,33,35,38,41,49,51,52,53,54}, {3,10,24,37,39,40,42,44,50,57}, {1,4,9,11,14,17,19,22,25,28,29,31,32,34,36,43,45,46,47,48,55,56,58,59}
1: {2,5,6,8,9,11,12,14,15,16,17,18,19,20,21,22,23,25,26,30,32,34,35,36,38,51,59,62,63,65,66,68,70,71,76,77,80,81,83,84,85,86,87,88,89,90,91,94,96,97,98,102,103,107,108,113}, {3,4,10,13,24,31,33,42,44,45,46,48,50,52,54,55,56,57,67,78,99,105,112,114}, {1,7,27,28,29,37,39,40,41,43,47,49,53,58,60,61,64,69,72,73,74,75,79,82,92,93,95,100,101,104,106,109,110,111}
1: {2,5,6,8,9,11,12,15,16,17,18,19,21,22,23,26,28,29,30,32,34,35,36,38,41,47,49,53,54,55,59,61,62,63,64,65,66,68,70,71,72,76,78,86,87,89,90,91,95,96,101,103,111}, {3,4,10,20,24,31,37,40,46,51,52,56,57,69,73,75,77,79,80,82,83,93,94,97,98,99,100,105,107,113,114}, {1,7,13,14,25,27,33,39,42,43,44,45,48,50,58,60,67,74,81,84,85,88,92,102,104,106,108,109,110,112}
1: {2,5,6,8,9,11,16,18,19,28,35,36,38,47,48,49,52,53,59,61,63,68,75,88,91,96,97,98,101,102,104,105,108,112}, {10,12,13,25,26,41,42,43,44,45,50,56,62,64,70,71,79,85,86,92,106,114}, {1,3,4,7,14,15,17,20,21,22,23,24,27,29,30,31,32,33,34,37,39,40,46,51,54,55,57,58,60,65,66,67,69,72,73,74,76,77,78,80,81,82,83,84,87,89,90,93,94,95,99,100,103,107,109,110,111,113}
1: {2,5,6,8,9,11,17,18,19,20,21,23,24,25,29,34,35,36,37,41,47,48,49,50,51,52,54,55,57,58,59,61,63,67,68,69,71,72,74,75,77,78,83,87,88,90,91,93,95,96,98,102,103,106,107,108,109,110,111,112,113}, {1,3,4,7,10,12,13,14,15,16,22,26,27,28,30,31,32,38,39,42,43,44,45,46,53,56,62,65,70,73,76,79,80,82,84,85,94,97,114}, {33,40,60,64,66,81,86,89,92,99,100,101,104,105}
1: {2,5,6,8,9,11,18,59,61,65,76,83,84,85,88,90}, {3,4,7,12,62,64,69,70,78,89}, {1,10,13,14,15,16,60,63,66,67,71,72,73,75,77,80,82,86}
1: {2,5,6,8,9,12,14,15,16,17,18,19,20,21,22,23,27,30,32,33,34,35,36,38,51,53,58,59,60,61,62,63,65,66,68,71,76,77,79,80,81,83,84,85,88,91,93,96,97,98,102,103,107,110,113}, {3,7,10,13,24,37,39,40,42,43,44,46,47,48,49,50,52,54,55,56,57,64,67,74,92,94,95,99,101,105,114}, {1,4,11,25,26,28,29,31,41,45,69,70,72,73,75,78,82,86,87,89,90,100,104,106,108,109,111,112}
1: {2,5,6,8,9,13,16,18,19,21,22,23,28,34,35,36,38,51,53,59,61,63,65,66,68,69,74,81,83,84,88,89,90,94,95,96,98,103,107,109,113}, {1,3,7,10,15,24,25,26,30,32,37,39,41,42,43,44,45,46,49,50,55,56,57,62,64,67,70,78,79,99,106,111,114}, {4,11,12,14,17,20,27,29,31,33,40,47,48,52,54,58,60,71,72,73,75,76,77,80,82,85,86,87,91,92,93,97,100,101,102,104,105,108,110,112}
1: {2,5,6,8,16,17,18,19,21,23,28,30,33,34,35,38,41,47,51,53,61,63,65,68,71,76,80,81,83,87,88,90,91,97,98,100,103,108,110,113}, {3,10,12,13,31,39,40,42,43,44,46,48,56,57,58,64,67,70,78,79,99,105,114}, {1,4,7,9,11,14,15,20,22,24,25,26,27,29,32,36,37,45,49,50,52,54,55,59,60,62,66,69,72,73,74,75,77,82,84,85,86,89,92,93,94,95,96,101,102,104,106,107,109,111,112}
1: {2,5,6,9,10,11,14,15,17,18,19,21,22,23,26,28,29,30,33,34,35,36,38,40,47,49,52,53,54,55,57,59,61,63,65,68,74,75,76,77,85,86,87,88,89,90,91,95,100,103,106,109,111,112,113}, {1,3,4,7,16,25,27,31,58,66,67,70,73,78,79,80,81,92,93,94,96,97,98,99,101,102,108,110}, {8,12,13,20,24,32,37,39,41,42,43,44,45,46,48,50,51,56,60,62,64,69,71,72,82,83,84,104,105,107,114}
1: {2,5,6,9,11,12,14,15,16,17,18,19,20,21,22,23,27,28,29,30,32,34,35,36,38,41,43,51,52,53,55,59,60,61,62,63,65,66,68,71,72,76,80,81,83,84,85,86,87,88,90,91,95,96,97,98,100,102,103,104,107,108,109,113}, {1,3,4,7,10,13,24,25,31,33,37,39,40,42,44,45,46,47,48,49,50,54,56,57,58,64,67,69,70,73,74,75,77,78,79,89,93,94,99,105,106,111,112,114}, {8,26,82,92,101,110}
1: {2,5,6,9,11,14,16,17,19,20,21,28,30,34,35,36,37,39,40,49,51,52,58,59,60,66,68,71,75,76,77,86,87,88,90,91,95,97,98,100,102,103,107,108,111,113}, {3,10,12,13,22,23,38,41,42,43,44,45,46,55,56,57,67,70,79,83,104}, {1,4,7,8,15,18,24,25,26,27,29,31,32,33,47,48,50,53,54,61,62,63,64,65,69,72,73,74,78,80,81,82,84,85,89,92,93,94,96,99,101,105,106,109,110,112,114}
1: {2,5,8,9,11,12,14,15,16,17,18,19,20,21,26,27,28,30,32,33,34,35,36,38,41,51,59,60,61,62,63,64,66,68,69,76,77,87,88,90,91,92,95,96,97,101,102,104,106,107,113}, {1,3,4,6,10,22,23,24,25,29,39,42,43,44,45,46,47,48,49,50,55,56,57,65,67,70,73,74,75,78,79,82,94,99,100,105,111,112,114}, {7,13,31,37,40,52,53,54,58,71,72,80,81,83,84,85,86,89,93,98,103,108,109,110}
1: {2,5,8,9,11,14,16,17,18,22,23,27,28,33,34,35,36,41,47,53,54,56,59,61,63,65,68,71,74,77,79,81,82,83,85,87,88,90,91,94,96,97,102,103,106,108,110,112,113}, {3,4,6,10,12,13,20,24,26,29,30,31,32,37,39,42,44,48,49,50,52,55,57,58,67,70,72,75,80,86,93,95,98,99,105,107,109}, {1,7,15,19,21,25,38,40,43,45,46,51,60,62,64,66,69,73,76,78,84,89,92,100,101,104,111,114}
1: {2,5,8,9,12,14,15,16,17,18,19,20,21,22,23,26,28,30,32,34,35,36,38,51,59,60,61,62,64,66,71,74,76,80,81,83,84,86,87,88,89,97,101,103,104,107}, {1,3,4,10,13,24,25,31,33,37,39,40,41,42,43,44,45,46,48,49,50,54,55,56,57,58,67,70,75,77,78,79,93,94,95,96,100,105,106,108,109,112,113,114}, {6,7,11,27,29,47,52,53,63,65,68,69,72,73,82,85,90,91,92,98,99,102,110,111}
1: {2,5,8,9,12,14,16,17,18,19,20,21,22,23,26,28,30,34,35,36,37,51,53,60,68,69,71,74,76,80,81,83,85,86,87,88,91,95,98,100,107,113}, {3,4,6,7,10,11,13,24,25,27,31,33,38,39,42,43,44,45,46,48,49,54,55,56,57,62,63,64,66,67,70,75,77,78,79,82,84,92,94,96,97,99,101,106,110,111,112,114}, {1,15,29,32,40,41,47,50,52,58,59,61,65,72,73,89,90,93,102,103,104,105,108,109}
1: {2,5,8,9,12,15,16,17,18,19,20,21,22,23,25,26,60,61,63,65,66,68,75,76,80,81,89,96,97,113}, {1,3,4,10,13,24,67,78,94,112}, {6,7,11,27,59,62,64,70,77,79,82,91,92,93,98,107,108,109,110}
1: {2,5,8,9,12,15,16,17,18,19,20,21,23,26,29,30,34,35,36,38,53,54,60,61,62,64,65,69,70,74,76,80,81,83,86,87,88,90,91,95,103,105,106,107,109,111}, {3,10,13,25,31,33,37,39,42,43,44,48,56,57,67,78,79,93,94,108}, {1,4,6,7,11,14,22,24,27,28,32,40,41,45,46,47,49,50,51,52,55,58,59,63,66,68,71,72,73,75,77,82,84,85,89,92,96,97,98,99,100,101,102,104,110,112,113,114}
1: {2,5,8,9,14,15,16,17,18,19,20,21,22,23,27,28,30,32,33,34,35,36,38,41,51,53,55,59,61,62,63,65,66,68,72,76,80,81,83,84,85,86,87,88,89,90,91,96,97,98,100,103,107,108,111,113}, {3,4,7,10,24,25,31,39,40,42,43,44,45,46,48,49,54,56,58,67,69,71,75,77,78,79,82,94,99,101,105,106,110,112,114}, {1,6,11,12,13,26,29,37,47,50,52,57,60,64,70,73,74,92,93,95,102,104,109}
1: {2,5,8,9,14,16,17,18,19,20,21,22,23,27,28,29,30,33,34,35,36,38,47,51,53,59,60,61,63,65,66,68,76,77,80,81,83,85,87,88,89,96,98,103,106,107,108,111,113}, {3,7,10,13,24,25,31,39,42,44,45,46,50,56,57,67,69,94,99,101,112}, {1,4,6,11,12,15,26,32,37,40,41,43,48,49,52,54,55,58,62,64,70,71,72,73,74,75,78,79,82,84,86,90,91,92,93,95,97,100,102,104,105,109,110,114}
1: {2,5,14,16,20,25,33,36,37,38,41,78,81,83,84,89,98,103,108,110,113}, {3,4,11,12,22,29,39,44,46,49,50,52,56,57,64,67,70,72,73,77,100,105,109}, {6,75,79,82,90,107,111}
1: {2,5,52,78,90,95,96,99,100,113}, {12,25,42,76,102}, {55,62,98}
1: {2,6,7,8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,51,53,58,59,60,61,62,63,66,68,70,72,73,76,80,82,83,84,86,87,88,89,90,91,92,95,97,101,102,103,107,108,109,111}, {10,13,24,25,31,39,41,42,44,45,48,50,55,56,57,65,67,69,71,77,78,79,94,99,104,112,114}, {1,3,4,5,11,12,33,43,46,47,49,52,54,64,74,75,81,85,93,96,98,100,105,106,110,113}
1: {2,6,7,9,10,11,13,14,16,17,18,19,20,21,23,28,30,32,34,35,37,38,40,43,45,47,48,49,50,52,53,55,56,57,59,60,61,65,66,72,76,77,81,82,83,87,88,89,90,91,92,93,95,96,97,98,99,100,102,103,104,105,106,107,108,110,112,113}, {1,4,5,12,22,25,26,27,31,33,41,42,44,46,51,54,58,64,67,68,69,70,71,73,78,79,80,84,85,86,94,101,111,114}, {3,8,15,24,29,36,39,62,63,74,75,109}
1: {2,6,8,9,10,11,12,16,17,18,19,20,21,22,23,27,28,29,32,34,35,36,38,39,41,47,49,50,52,53,55,59,60,62,63,65,66,68,69,71,76,77,78,79,80,81,82,83,85,88,89,90,91,94,96,97,98,100,102,103,106,108,109,110,111,113,114}, {1,3,4,5,13,15,24,30,31,33,37,42,44,56,57,67,70,73,75,86,92,101,104}, {7,14,25,26,40,43,45,46,48,51,54,58,61,64,72,74,84,87,93,95,99,105,107,112}
1: {2,6,8,9,10,12,13,16,17,18,19,21,25,27,28,33,34,35,36,37,38,42,47,49,50,52,53,56,58,59,60,63,65,66,70,71,72,74,75,77,81,82,83,84,85,88,89,90,91,95,96,98,100,102,103,106,107,109,111,112,113,114}, {1,3,4,5,14,15,20,22,23,24,26,29,30,39,40,41,43,44,45,46,48,51,54,55,57,61,62,64,68,69,73,76,78,79,87,92,97,99,101,104,105,108}, {7,11,31,32,67,80,86,93,94,110}
1: {2,6,8,9,10,14,16,18,19,20,22,23,25,26,30,32,34,35,36,37,38,40,44,45,47,48,50,52,55,57,58,59,61,64,67,74,81,83,84,85,90,91,94,95,96,98,99,100,102,103,105,107,108,110,112,113,114}, {3,4,15,24,31,33,42,43,49,62,68,70,71,73,75,76,88,92,101,104,109}, {1,5,7,11,12,13,17,21,27,28,29,39,41,46,51,53,54,56,60,63,65,66,69,72,77,78,79,80,82,86,87,89,93,97,106,111}
1: {2,6,8,9,10,15,17,26,27,35,38,41,47,50,52,53,59,63,65,71,72,78,79,83,84,87,88,93,94,96,97,106,108,110,112,113}, {3,4,24,30,37,39,48,92,99}, {14,18,20,43,62,66,73,103,107,111}
1: {2,6,8,9,11,12,14,15,16,17,18,19,21,22,23,25,26,27,28,29,30,35,36,38,47,53,59,61,63,65,66,68,71,75,76,80,81,83,84,85,88,89,90,91,97,98,102,103,107,108,110,112,113}, {3,4,10,13,24,31,33,37,39,40,42,43,44,45,46,48,49,50,54,57,64,67,78,99}, {1,5,7,20,32,34,41,51,52,55,56,58,60,62,69,70,72,73,74,77,79,82,86,87,92,93,94,95,96,100,101,104,105,106,109,111,114}
1: {2,6,8,9,11,13,16,17,18,19,21,22,23,27,28,34,35,36,37,38,47,48,50,51,52,53,54,55,57,58,59,63,65,68,74,75,83,85,89,90,95,96,97,98,101,102,103,104,105,107,108,109,110,111,112,113}, {3,4,5,7,10,12,15,20,24,25,26,31,33,39,42,44,45,46,49,56,69,70,71,77,81,82,84,86,87,88,106}, {1,14,29,30,32,40,41,43,60,61,62,64,66,67,72,73,76,78,79,80,91,92,93,94,99,100,114}
1: {2,6,8,9,11,14,17,18,19,20,22,23,27,28,29,34,35,36,38,47,48,52,53,56,58,59,61,62,63,65,68,69,72,81,82,84,86,87,88,91,94,96,98,100,102,103,106,108,111,113}, {1,3,4,5,7,10,12,15,16,24,25,26,30,31,32,33,39,40,41,42,43,44,45,49,51,57,64,66,67,70,71,73,75,76,77,78,79,85,92,93,99,101,104,107,109,114}, {13,21,37,46,50,54,55,60,74,80,83,89,90,95,97,105,110,112}
1: {2,6,8,9,11,17,18,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,46,47,50,51,52,53,54,55,57,58,59,60,61,62,63,65,66,72,76,78,81,86,87,90,91,96,97,98,102,103,106,107,108,109,110,112,113}, {1,4,7,10,12,24,25,26,31,39,42,43,44,49,56,68,69,71,75,77,79,84,85,89,92,99,101,111}, {3,5,13,14,15,16,19,40,41,45,48,64,67,70,73,74,80,82,83,88,93,94,95,100,104,105,114}
1: {2,6,8,9,14,15,16,17,18,19,20,21,22,23,26,28,29,30,32,34,35,36,38,41,50,52,54,55,59,60,62,63,66,68,70,71,74,76,80,81,86,87,88,89,92,95,96,98,100,102,103,107,109,110,114}, {3,4,5,7,10,13,24,25,27,31,37,39,40,43,44,45,46,48,49,56,61,64,67,69,75,77,78,79,82,85,94,99,101,105,112}, {1,11,12,33,42,47,51,53,57,58,65,72,73,83,84,90,91,93,97,104,106,108,111,113}
1: {2,6,8,9,14,15,19,20,21,22,28,34,35,36,41,53,59,60,61,63,65,66,68,70,71,72,74,75,76,79,82,83,84,85,88,90,91,94,96,98,100,103,106,107,108,109,110,112}, {3,4,5,7,10,11,13,16,17,18,23,24,25,26,29,31,32,33,37,38,39,40,42,43,44,46,49,50,51,56,57,58,64,67,69,73,77,80,86,92,105}, {1,12,27,30,45,47,48,52,54,55,62,78,81,87,89,93,95,97,99,101,102,104,111,113,114}
1: {2,6,8,9,14,17,18,19,22,23,25,26,27,28,30,34,35,36,37,51,54,59,68,71,74,75,76,90,94,97,99,100,111,112,113}, {3,4,7,10,11,12,15,16,24,31,33,38,39,40,42,43,44,46,48,49,50,56,58,61,62,64,67,69,72,77,79,83,85,92,93,96,101,104,106,109}, {1,5,13,20,21,29,32,41,45,47,52,53,55,57,60,63,65,66,70,73,78,80,81,82,84,86,87,88,89,91,95,98,102,103,105,107,108,110,114}
1: {2,6,8,11,17,18,19,21,24,28,30,34,35,36,37,40,41,55,58,59,63,66,68,69,71,77,87,91,92,93,94,95,96,98,99,101,103,104,107,108,109,112,113}, {3,4,7,12,13,15,16,22,23,25,26,31,33,39,42,43,44,45,46,48,49,50,56,61,62,67,70,72,73,83,85,86,89,90,100,102,114}, {1,5,9,10,14,20,27,29,32,38,47,51,52,53,54,57,60,64,65,74,75,76,78,79,80,81,82,84,88,97,105,106,110,111}
1: {2,6,9,10,11,15,16,17,18,19,21,26,27,28,29,30,32,33,34,35,36,38,47,48,50,52,53,55,57,59,60,61,63,65,68,72,75,76,81,87,90,91,96,98,100,101,102,103,104,107,108,111,113}, {3,4,5,7,12,13,14,22,23,24,25,31,37,39,42,44,45,56,58,64,67,69,70,71,73,77,78,79,84,92,94,97,99,110,114}, {1,8,20,40,41,43,46,49,51,54,62,66,74,80,82,83,85,86,88,89,93,95,105,106,109,112}
1: {2,6,9,11,13,15,16,17,18,19,20,27,28,30,34,35,36,38,41,47,48,52,55,57,59,61,63,65,68,75,76,77,87,88,91,95,96,98,102,103,104,105,107,110,111,112}, {1,3,4,5,7,10,12,23,24,25,26,37,43,44,46,49,50,58,70,73,78,79,83,84,85,99,106}, {8,14,21,22,29,31,32,33,39,40,42,45,51,53,54,56,60,62,64,66,67,69,71,72,74,80,81,82,86,89,90,92,93,94,97,100,101,108,109,113,114}
1: {2,6,9,12,14,15,17,18,19,23,34,39,59,61,63,68,75,76,86,88,91,97,102,103,109,112}, {25,31,70,79,82,93,108,111}, {4,38,40,44,45,46,58,67,69,85,100,113,114}
1: {2,6,11,13,14,16,17,19,20,21,23,28,32,34,35,40,51,59,62,63,64,65,66,68,71,72,88,90,91,95,104,107,110,111}, {10,31,39,43,44,45,46,47,49,50,54,56,61,67,70,77,93,94,106,112,113,114}, {4,9,12,15,18,22,27,38,48,53,58,69,74,75,80,84,86,96,97,98,99,100,102,108}
1: {2,6,12,13,15,16,17,18,19,20,21,22,23,26,27,28,30,33,34,37,38,51,55,61,62,63,66,68,71,72,76,77,87,91,96,102,113}, {3,24,25,39,40,42,43,44,45,50,53,54,56,58,67,69,73,74,78,95,99,105,114}, {1,4,5,7,8,9,10,11,14,29,31,32,35,36,41,46,47,48,49,52,57,59,60,64,65,70,75,79,80,81,82,83,84,85,86,88,89,90,92,93,94,97,98,100,101,103,104,106,107,108,109,110,111,112}
1: {2,6,12,15,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,38,40,42,45,46,50,51,52,54,55,57,60,61,62,63,66,68,69,72,76,87,91,93,95,96,99,100,102,105,106,107,111}, {3,4,5,7,8,9,10,11,14,16,17,24,25,31,33,39,41,43,44,47,48,49,53,56,58,59,64,65,67,70,71,73,74,75,78,79,80,81,82,83,85,90,92,94,97,98,103,108,109,110,112,113,114}, {1,13,18,77,84,86,88,89,101,104}
1: {2,7,8,9,10,11,13,17,18,19,20,24,27,28,32,33,34,35,36,37,38,40,47,48,49,51,55,59,60,61,63,65,66,68,69,71,77,78,81,87,88,91,95,96,98,100,103,105,108,111,112,113,114}, {1,3,4,5,12,15,16,21,22,23,26,29,30,31,39,41,42,43,44,45,46,50,52,56,57,58,62,64,67,70,72,76,79,83,84,92,93,94,97,99,101,104,107,110}, {6,14,25,53,54,73,74,75,80,82,85,86,89,90,102,106,109}
1: {2,7,8,9,14,19,20,22,27,29,32,34,41,49,53,57,59,63,66,70,74,81,91,109,110}, {4,10,25,33,37,39,40,46,67,69,79,111}, {51,52,54}
1: {2,7,9,10,11,13,16,17,18,19,21,22,23,25,27,28,30,32,33,35,36,40,45,47,51,53,55,59,60,61,62,63,65,71,74,76,83,87,88,90,91,95,96,100,104,106,107,109,112,113}, {1,3,4,6,12,14,15,24,26,29,31,39,42,43,44,49,50,56,57,58,66,67,68,69,70,75,78,82,84,86,89,92,93,94,98,99,101,102,103,105,108,110,111}, {5,34,37,46,48,54,64,73,77,79,80,81,85,97,114}
1: {2,8,9,10,11,17,18,19,20,21,22,23,27,29,32,34,35,36,37,40,43,44,46,47,48,50,51,52,55,57,59,60,61,65,66,67,68,72,76,87,90,91,93,95,98,100,103,104,105,107,109,112,113}, {3,4,5,7,12,14,16,24,25,26,31,33,38,39,41,42,56,58,62,70,71,79,83,84,85,88,89,94,102,114}, {1,6,13,15,28,30,45,49,53,54,63,64,69,73,74,75,77,78,80,81,82,86,92,96,97,99,101,106,108,110,111}
1: {2,8,9,10,16,17,18,19,21,23,27,28,35,36,37,38,40,41,42,45,47,48,49,50,51,52,53,54,55,59,61,63,66,67,68,72,73,74,75,77,78,83,91,94,95,96,98,100,103,104,105,107,108,109,110,111,112,113}, {1,3,4,5,6,7,11,12,13,14,15,20,22,24,25,26,29,30,31,32,33,34,39,43,44,46,56,57,58,60,62,64,65,69,70,71,76,79,80,81,82,84,85,86,87,89,90,92,93,97,101,106,114}, {88,99,102}
1: {2,8,9,11,12,13,15,17,18,19,20,21,22,23,26,27,28,30,34,35,36,38,41,47,51,52,57,59,61,62,63,65,68,71,76,80,82,84,86,88,89,90,91,96,98,100,104,107,109,111,113}, {1,3,4,5,7,10,14,16,25,29,31,33,39,40,42,43,44,45,46,49,50,54,56,60,66,67,69,70,72,73,75,78,79,81,85,87,92,93,94,97,101,102,106,108,110,112,114}, {6,24,32,37,48,53,55,58,64,74,77,83,95,99,103,105}
1: {2,8,9,11,14,15,16,17,18,19,21,22,27,29,30,32,38,40,41,47,51,52,53,54,55,58,59,62,63,64,65,66,68,69,72,73,74,76,80,81,87,88,89,90,91,92,95,96,97,98,102,103,104,105,107,109,113}, {4,7,12,13,25,31,42,43,44,46,48,49,56,57,70,71,77,78,79,84,93,94,100,110,111,114}, {1,5,37,45,67,82,85,106}
1: {2,8,9,11,15,16,18,19,21,22,23,25,26,27,28,30,34,35,36,38,42,44,47,49,51,53,54,59,60,61,63,66,67,68,71,74,75,79,83,84,85,87,88,90,91,96,97,98,102,103,106,108,110,111,112,113}, {4,10,12,24,31,37,39,45,46,64,70,92,99,101,114}, {1,3,5,6,7,13,14,17,20,29,32,33,40,41,43,48,50,52,55,56,57,58,62,65,69,72,73,76,77,78,80,81,82,86,89,93,94,95,100,104,105,107,109}
1: {2,8,9,12,14,15,16,17,18,19,20,22,23,26,27,28,29,30,33,34,35,36,38,41,47,48,53,56,59,60,61,62,63,65,66,68,74,77,81,83,84,85,87,88,89,90,91,96,100,102,103,109,110,112,113}, {1,3,10,24,25,37,39,40,42,43,44,45,49,50,51,54,55,57,64,67,71,78,79,80,94,99,105,106,111,114}, {4,5,6,7,11,13,21,31,32,46,52,58,69,70,72,73,75,76,82,86,92,93,95,97,98,101,104,107,108}
1: {2,8,9,14,15,16,17,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,41,48,50,51,52,53,55,58,59,63,65,66,68,72,80,81,84,85,87,91,95,96,103,107,109,111,112,113}, {3,4,5,7,12,24,25,31,39,42,43,44,46,47,49,56,57,60,67,70,71,75,77,92,94,99,101,105,108,114}, {1,6,10,11,13,18,33,38,40,45,54,61,62,64,69,73,74,76,78,79,82,83,86,88,89,90,93,97,98,100,102,104,106,110}
1: {2,8,9,14,16,17,18,19,21,23,27,30,33,34,35,36,38,41,47,52,53,58,59,60,61,63,65,71,74,76,80,81,88,91,94,95,96,97,98,100,102,103,104,107,108,109,110,111,113}, {1,3,4,5,6,7,10,12,13,15,22,24,25,26,31,37,39,40,42,43,44,45,46,48,49,50,51,54,55,56,57,62,64,66,67,68,69,70,73,75,77,78,79,82,83,84,85,87,92,93,99,105,106,112}, {11,20,28,29,32,72,86,89,90,101,114}
1: {2,8,9,14,16,18,19,20,21,23,26,27,28,30,32,33,34,35,36,38,51,60,63,65,66,68,69,74,76,80,84,86,87,88,90,91,97,100,102,103,107,110,113}, {1,3,4,5,6,7,10,12,13,22,24,25,31,37,39,40,42,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,61,62,64,67,72,73,75,77,78,79,82,83,85,92,95,99,101,104,105,109,111,112,114}, {11,15,17,29,41,53,70,71,81,89,93,94,96,98,106,108}
1: {2,8,9,16,17,19,20,21,22,23,24,27,29,32,34,37,47,60,61,64,66,68,75,76,81,82,84,86,87,90,91,93,95,96,98,104,106,107,108,109,111,113}, {1,3,5,7,10,12,18,25,26,28,30,31,35,36,38,40,41,42,43,44,45,48,49,50,51,53,58,63,65,67,69,70,71,72,74,77,78,79,80,85,89,92,94,97,100,102,103,105,112}, {11,14,15,33,46,52,54,55,57,59,62,73,83,88,99,101,110}
1: {2,8,9,17,18,19,20,21,22,23,28,29,30,32,34,35,36,37,39,41,49,50,51,52,54,59,60,61,62,63,65,66,70,72,76,87,88,91,95,96,97,98,103,107,109,113}, {3,4,5,10,11,12,13,24,26,31,33,42,44,46,55,56,57,71,75,77,78,79,92,111,112,114}, {1,6,7,14,15,16,25,27,38,40,43,45,47,53,58,64,67,68,73,74,82,83,84,85,86,89,90,93,94,99,101,102,104,105,106,108,110}
1: {2,8,10,16,17,19,20,23,29,32,34,48,49,50,55,59,60,63,67,71,76,83,84,91,96,97,100,104,107,111,113,114}, {12,22,30,43,46,56,62,70,79,82,85,87,89,92,101,103}, {3,14,24,36,41,45,57,69,73,88,90,94,99,105}
1: {2,8,11,12,14,15,16,17,18,19,20,21,22,23,26,27,30,32,34,35,36,37,38,40,51,53,54,58,62,66,68,72,74,76,81,84,85,86,88,89,90,92,96,97,101,102,103,106,107,109,113}, {3,4,10,13,25,29,31,39,43,44,46,47,48,49,50,52,61,64,67,69,75,77,78,79,94,98,100,110,111}, {1,5,6,7,9,24,28,33,41,42,45,55,56,57,59,60,63,65,70,71,73,80,82,83,87,91,93,95,99,104,105,108,112,114}
1: {2,8,11,12,14,15,16,17,18,19,20,22,23,27,28,32,33,34,35,36,37,40,41,51,53,55,59,61,63,66,68,75,76,77,82,83,85,87,88,89,90,91,96,97,98,103,106,107,111,113}, {3,7,10,13,24,25,31,39,42,44,45,46,49,56,57,58,64,67,78,79,92,93,94,95,99,101,112,114}, {1,4,5,6,9,21,26,29,30,38,43,47,48,50,52,54,60,62,65,69,70,71,72,73,74,80,81,84,86,100,102,104,105,108,109,110}
1: {2,8,11,19,25,40,51,52,53,55,57,88,94,98,106}, {4,9,26,37,43,44,69,81,97}, {3,12,14,20,24,32,35,36,39,45,46,64,73,82,92,104,105,112,113,114}
1: {2,8,12,15,16,17,18,19,21,29,53,61,62,65,70,72,74,76,86,88,90,103,106,109,111}, {3,10,13,24,25,37,43,44,48,56,57}, {1,4,5,6,7,11,14,20,26,27,28,31,32,34,36,40,41,46,47,51,52,54,66,68,71,73,75,78,79,81,82,83,84,85,87,92,95,96,97,98,99,101,102,105,107,108,110,113,114}
1: {2,8,14,15,16,21,26,27,28,30,35,51,53,63,65,71,78,80,81,84,94,95,96,97,101,102,103,104}, {10,24,25,29,40,42,47,49,50,55,79,87,90,93,99,100,106,111}, {5,7,18,43,77,98}
1: {2,8,15,61,66,102,108}, {12,55,75}, 32
1: {2,8,16,28,32,35,36,38,53,61,66,77,89,109}, {3,34,70,105}, {7,43,80,90,103}
1: {2,8,17,19,21,22,23,36,53,59,61,76,100}, {3,10,43,44,45,46,48,50,54,55,56,57,94,105,111,114}, {7,32,33,41,58,66,72,95,98,101}
1: {2,8,17,21,28,35}, {5,29,31}, {6,7,33}
1: {2,8,18,20,21,23,70,73,74,90,92,98,101,107,113}, {3,10,50,64,114}, {7,17,47,67}
1: {2,8,20,75,104,113}, {4,42,112}, {}
1: {2,8,28,41,42,68,75,83,93,96,100,107}, {23,34,55,67,79,86,104}, {}
1: {2,8,30}, 28, {6,7,29,37}
1: {2,8,34,36,51,53,70,72,77,83,86,97,103,106,110}, {4,13,40,56,69,71,111}, {11,26,37,60,62,94}
1: {2,8,60,76}, {75,77,78}, {1,5,6,7,59}
1: {2,8,83}, 25, {}
1: {2,9}, {}, 4
1: {2,9}, {4,10,11,12}, {3,14}
1: {2,9,10}, {}, 4
1: {2,9,10,11,29,40}, {1,31,39,42}, {}
1: {2,9,10,15,16,32,33,34}, {}, {28,31}
1: {2,9,14,18,19,21,22,23,25,26,27,28,29,30,34,35,36,37,38,51,59,62,66,80,81,82}, {10,24,31,39,40,42,43,44,45,46,48,49,50,52,54,55,56,57,58,61,64,78}, {4,5,7,17,20,32,33,41,47,53,60,79}
1: {2,9,15,16,17,19,28,29,30,32,34,35,36,37,41,51}, {10,13,31,33,39,40,42}, {11,18,38}
1: {2,9,16,19,21,23,35,36,48,49,53,68,72,74,100,110,112}, {3,10,38,39,43,44,75,84,92,99}, {5,6,7,20,47,60,65,73,90,94,102,106}
1: {2,9,16,23,37,55,59,61,66,68,81,87,88,110,113}, {5,40,45,48,64,73,92,93,94,97,114}, {8,27}
1: {2,9,16,30,47,51,61,65,68,77,82,89,90,97}, {3,39,43,44,50,66,67,75,105}, {25,40,52,58,62,74,76}
1: {2,9,17,28,34,48,61,70,90,102,103,107,108}, {13,24,30,39,57}, {5,25,29,49,60,76,85,89,105,106,114}
1: {2,9,28,34}, {7,13,24,43,44,56}, {}
1: {2,9,59,82,106}, {69,92,102,105}, 89
1: {2,11,20,85}, {12,13,39,105}, {1,14,31}
1: {2,11,53,55,67,72,81,91,94,98,102,106,112}, {4,5,23,28,31,34,41,43,44,66,76,79,85,87,90,92}, {1,9,33,61,62,64,68,73}
1: {2,12,15,18,21,27,34,38,47,48,51,59,68,76,77,79,80,88,90,103,109,110}, {10,13,22,23,31,37,49,50,55,56,57,69,78,99}, {1,6,9,11,16,17,20,25,29,30,39,40,41,42,45,58,60,61,62,63,64,66,67,73,81,82,85,87,91,92,95,100,102,106,107,111,113,114}
1: {2,15,16,22,23,27,34,37,87,91,95,97,104,106,113}, {8,24,31,32,40,42,49,58,71,72,74,79,82,92,101,105,114}, {1,93}
1: {2,15,17,18,20,21,22,23,26,32,35,36,37,38,47,48,50}, {5,39,41,43,44,49,56,57}, {19,33,45,46}
1: {2,15,18,19,21,25,26,59}, {50,114}, {53,82}
1: {2,15,22,34,38,52,68,75,91,96,107,109,111,112}, {8,25,49,54,58,67,69,70,73,78,81,85,89,97,98,99,113}, {1,9,23,31,33,37,41,42,60,65,86,87,92,101,110,114}
1: {2,16}, {}, {82,93}
1: {2,16,19,20,21,29,32,33,38,43,62,63,65,66,72,76,81,83,84,89,91,93,107,108,110,112}, {12,39,46,48,69,80}, {25,37,40,41,60,61,104}
1: {2,16,19,21,22,23,27,34,36,44,48,49,50,52,59,61,64,76,78,79,80,88,90,93,95,97,103,106,107,114}, {12,13,24,25,39,42,81,82,83,85,96,111,113}, {7,15,20,31,38,45,57,62,71,72,89,94,104,108}
1: {2,16,21,25,27,34,35,47,53,55,81,86,88}, {3,13,45,49,64}, 50
1: {2,16,35,41,51}, 56, {1,43,47,52,55,58}
1: {2,17,21,28,33,36,48,57,60,62,69,74,76,84,87,96,103,109,110,113}, {10,13,22,39,44}, {38,95}
1: {2,18,19,20,24,27,28,32,34,36,39,42,47,51,57,63,64,68,76,90,92,95,96,97,101,103,107,108,111,112}, {4,26,40,69,70,71,78,79,80,83,85,89,94}, {5,10,21,25,29,33,38,44,45,53,58,59,61,73,77,81,82,87,88,98,106,113}
1: {2,18,31,35,36,43,44,47,48}, {8,22,23,38}, {9,25,41}
1: {2,18,33,71,83,84,97,106,107}, {10,13,37,41,46,48,56,78}, {58,64}
1: {2,20,28,34,36,37,40,51,75,91,94,98,107,112}, {4,12,33,41,43,44,56,66,85,89,90}, {5,7,49,53,105}
1: {2,26,60,80}, {}, 94
1: {2,28,108}, {10,78}, 69
1: {2,30,35,36}, {}, {}
1: {2,32,33,34,37,47,60,65,68,70,71,72,102,111}, {13,25,42,56}, {57,85}
1: {2,32,40,69}, {}, {}
1: {2,47,48,59,85,88}, 12, {25,92}
1: {2,52,99}, 3, 82
1: {3,4,5,6,9,10,11,12,14,15,16,18,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,47,48,53,54,56,59,60,63,74,75,77,79,80,82,83,86,87,88,89,91,93,94,95,96,97,98,99,104,107,112,113}, {1,2,7,8,13,17,19,23,24,39,40,42,43,44,45,46,49,50,51,52,55,57,58,61,62,64,65,66,67,68,69,70,71,72,73,76,78,81,84,85,90,92,100,101,102,103,105,106,108,109,110,111,114}, {}
1: {3,4,5,6,9,10,11,13,17,25,29,31,37,39,40,42,43,44,45,46,50,52,54,55,57,60,64,67,68,72,73,74,77,78,92,95,101,104,105,109,110,111,112}, {1,2,7,8,12,14,15,16,20,21,22,23,26,27,30,33,38,47,53,58,61,63,65,70,71,75,76,79,80,81,82,83,84,85,86,87,88,89,97,98,100,106,114}, {18,19,24,28,32,34,35,36,41,48,49,51,56,59,62,66,69,90,91,93,94,96,99,102,103,107,108,113}
1: {3,4,5,6,9,13,14,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,38,40,42,45,47,50,51,52,53,55,59,60,61,62,63,65,66,67,68,72,76,77,80,81,84,85,86,87,89,90,91,92,95,97,98,100,103,104,105,106,107,108,109,110,111,113}, {1,7,10,11,12,16,24,25,31,33,39,43,44,46,48,49,54,56,58,64,69,70,71,73,74,75,78,79,93,94,101,112,114}, {2,8,15,37,41,57,82,83,88,96,99,102}
1: {3,4,5,6,10,13,16,19,20,21,24,25,29,31,34,35,36,37,39,42,43,44,45,47,48,49,50,52,54,55,56,57,58,59,60,64,66,67,72,74,75,77,83,90,92,93,95,99,101,103,104,107,108,109,110,111,112,113}, {2,7,8,9,12,14,23,26,27,30,33,38,41,51,62,63,65,70,71,73,76,80,81,82,84,85,89,94,96,97,100}, {1,11,15,17,18,22,28,32,40,46,53,61,68,69,78,79,86,87,88,91,98,102,105,106,114}
1: {3,4,5,7,10,19,20,27,28,29,32,35,36,39,42,43,44,48,49,51,52,58,61,62,63,64,68,75,77,92,95,99,101,102,103,104,106,107,110}, {1,2,6,8,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,30,31,33,34,38,41,47,50,53,54,56,59,65,66,67,69,70,71,72,76,78,79,80,81,82,83,84,85,86,88,89,97,98,100,105,108,113,114}, {37,40,45,46,55,57,60,73,74,87,90,91,93,94,96,109,111,112}
1: {3,4,5,8,9,10,11,13,14,17,18,19,20,21,22,23,25,28,29,30,32,34,35,36,37,38,40,47,49,50,52,54,55,56,57,58,59,60,62,63,65,68,69,70,71,72,73,75,76,77,78,81,83,91,95,96,98,101,105,106,107,108,109,112,113,114}, {1,6,7,12,15,24,26,27,31,33,39,41,48,51,53,64,79,80,82,85,89,92,97,99,100,103,110}, {2,16,42,43,44,45,46,61,66,67,74,84,86,87,88,90,93,94,102,104,111}
1: {3,4,6,10,11,13,17,18,19,21,29,31,32,37,39,40,42,45,46,48,49,50,52,54,55,56,57,59,60,61,64,75,77,79,90,94,99,101,104,105,106,107,114}, {1,2,5,7,8,12,14,15,16,20,22,23,25,26,28,30,33,34,35,36,38,41,43,47,51,53,58,62,63,65,66,67,70,72,80,82,84,85,86,87,89,91,92,93,96,97,98,100,102,103,108,113}, 95
1: {3,4,6,10,11,13,19,21,24,34,37,40,42,43,45,46,47,48,49,50,52,54,55,57,59,60,64,66,67,68,69,74,75,77,78,91,92,95,99,101,104,105,107,108,109,110,112,114}, {2,5,7,8,9,12,14,15,16,22,23,25,26,27,30,33,38,41,51,53,56,65,70,71,76,79,80,81,82,83,84,85,88,89,90,96,97,98,100,103,111,113}, {1,17,18,20,28,29,31,32,35,36,39,44,58,61,62,63,72,73,86,87,93,94,102,106}
1: {3,4,7,8,9,10,13,20,21,26,27,28,30,32,33,34,35,36,37,40,45,46,47,48,49,50,52,55,56,57,59,60,61,62,63,65,66,67,68,69,72,76,81,87,91,96,100,105,107,108,113,114}, {1,6,11,12,14,17,19,24,31,39,42,43,44,51,54,58,70,71,73,74,78,79,80,82,83,84,85,88,89,90,92,94,97,98,99,101,102,104,106,111,112}, {2,5,18,22,25,29,38,41,53,64,77,86,93,95,103,109,110}
1: {3,4,8,10,29,32,34,35,36,44,45,53,55,61,65,78,82,90,96,104,107,109,110,111,112,113,114}, {12,14,17,31,66,70,77,80,89,97}, {5,28,33,37,38,39,40,41,42,43,49,51,64,79,83,84,85,86,87,88,94,95,99,101,102,108}
1: {3,4,8,15,16,19,20,21,28,29,32,36,37,47,50,51,63,68,75,76,86,100,111,113}, {5,14,22,23,24,30,33,39,43,58,61,67,82,101,114}, {6,7,44,55,64,73}
1: {3,4,9,10,11,13,14,15,16,17,18,19,20,21,22,26,27,28,29,30,32,34,35,36,37,38,42,43,45,47,48,49,50,51,52,54,55,57,59,61,63,65,68,72,74,76,77,80,83,86,88,90,91,93,96,97,98,100,103,107,109,111,113}, {2,7,8,12,23,24,25,53,56,58,64,70,75,79,81,85,89,92,99,101,102,104,106,110}, {1,5,6,31,33,39,40,41,44,46,60,62,66,67,69,71,73,78,82,84,87,94,95,105,108,112,114}
1: {3,4,17,24,28,31,35,36,37,39,40,43,44,51,68,72,85,86,94,99,104,107,108,109,110}, {12,21,41,42,60,61,62,71,81,87}, {}
1: {3,5,6,8,10,11,13,14,16,18,19,20,21,22,23,28,29,30,32,34,35,36,37,39,40,43,44,45,46,47,48,49,50,51,52,55,57,58,59,60,61,65,67,69,72,74,76,77,81,83,86,90,91,92,94,95,96,98,100,101,104,105,107,108,109,111,112,113}, {2,4,7,12,15,17,24,25,26,27,31,38,41,42,53,54,56,62,64,66,68,70,71,73,75,78,79,80,85,87,88,89,93,97,102,103,106,110,114}, {1,9,33,63,82,84,99}
1: {3,5,6,8,10,13,15,17,18,19,20,21,22,23,24,27,28,29,32,34,35,36,37,38,40,43,45,47,48,49,50,52,53,54,55,57,58,59,60,61,62,63,64,66,67,68,71,72,74,77,79,86,87,91,93,95,96,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113}, {1,4,7,9,12,26,31,33,39,41,46,56,69,70,75,78,80,81,84,85,88,89,94,97,100,114}, {2,11,14,16,25,30,42,44,51,65,73,76,82,83,90,92}
1: {3,5,6,9,10,11,13,16,17,18,19,20,21,22,23,28,29,30,32,34,35,36,37,41,42,46,47,48,50,52,53,55,56,57,59,60,61,63,64,66,67,75,76,81,82,87,88,91,92,93,95,98,99,101,102,104,106,107,108,110,112,113,114}, {1,2,4,7,12,14,15,24,25,26,27,31,33,38,39,40,43,44,45,49,51,54,58,62,65,68,69,70,71,72,74,79,80,83,84,85,86,89,90,96,97,100,103,105,111}, {8,73,77,78,94,109}
1: {3,5,6,10,13,15,16,17,19,20,21,25,26,27,28,29,31,32,35,36,37,39,40,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,60,61,64,66,67,68,69,73,74,76,77,79,80,81,87,90,91,92,95,97,98,99,100,102,103,105,106,107,108,110,113,114}, {1,2,7,8,9,11,12,18,22,23,24,30,33,38,41,51,62,63,65,70,71,75,82,83,84,85,88,89,94,96,101,104,109,111,112}, {4,14,34,42,59,72,78,86,93}
1: {3,5,6,16,19,32,37,38,41,47,48,49,54,55,56,58,59,61,65,68,79,80,93,94,100,105,110,111,113}, {1,2,12,14,25,33,51,62,85,114}, {8,31,34,45,46,57,64,88,89,106}
1: {3,5,8,42,45,46,55,56,59,66,83,84,101,104,108}, {2,61,63,72,100,111}, {16,39,40,65,77,78,82,90,106,110,113}
1: {3,6,7,9,10,17,18,19,22,23,28,29,34,36,37,38,40,41,43,45,47,48,50,52,53,54,55,56,57,59,61,63,67,70,72,74,78,90,91,93,94,95,98,99,101,102,104,105,106,107,108,110,112,113,114}, {4,5,12,13,14,15,20,26,30,32,33,39,42,51,62,66,69,71,75,76,80,82,85,88,89,92,96,97,100}, {1,2,8,11,21,24,25,27,31,35,44,49,58,60,64,65,68,73,77,81,83,84,86,87,103,109,111}
1: {3,6,7,10,11,13,16,17,18,19,20,22,28,29,31,34,35,36,38,39,40,41,42,43,45,46,47,48,50,51,52,54,55,57,58,59,60,61,64,67,68,69,72,74,75,76,77,78,80,87,91,96,98,100,103,104,105,106,107,108,110,111,113,114}, {4,9,14,23,24,25,27,30,32,49,56,66,70,71,73,79,81,82,83,84,85,88,89,97,99,109}, {1,2,5,8,12,15,21,26,33,37,44,53,62,63,65,86,90,92,93,94,95,101,102,112}
1: {3,6,8,9,10,11,12,13,17,18,19,21,22,23,25,28,29,30,34,35,36,37,40,41,47,49,50,52,53,54,55,59,60,61,63,64,65,66,67,68,70,74,77,78,81,83,84,87,91,93,94,95,96,99,100,101,102,103,106,107,108,109,110,111,112,113}, {1,2,4,5,14,15,16,20,24,26,27,31,32,33,38,39,42,43,44,48,51,56,57,58,69,71,72,73,75,76,79,80,82,85,86,88,89,90,92,97,98,104,105,114}, {7,45,46,62}
1: {3,6,8,9,10,11,13,16,17,18,19,21,22,23,25,27,29,31,34,35,36,37,40,43,44,45,47,48,49,50,52,53,55,56,57,59,60,61,63,67,68,72,77,78,79,82,83,86,91,94,95,96,98,102,103,104,106,107,108,109,110,111,112,113,114}, {1,2,4,5,7,12,14,15,20,24,26,30,32,33,38,39,41,42,46,51,58,62,66,69,70,71,74,75,76,80,84,85,87,89,90,92,97,101}, {28,54,64,65,73,81,88,93,99,100,105}
1: {3,6,8,9,10,11,13,17,19,22,23,28,29,30,31,34,36,37,39,40,43,45,46,47,48,49,50,51,52,54,57,58,59,60,61,64,65,67,68,72,74,75,77,79,87,88,90,91,92,95,96,98,99,100,102,103,104,105,106,107,108,109,110,111,112,114}, {1,2,4,5,7,12,14,16,21,24,25,26,32,33,38,41,42,44,53,55,56,66,70,71,73,76,78,80,81,82,83,84,85,86,89,93,101}, {15,18,20,27,35,62,63,69,94,97,113}
1: {3,6,8,9,11,12,13,15,16,17,18,19,20,21,22,23,26,27,28,29,30,32,34,35,36,37,40,47,48,50,51,52,54,55,57,59,60,61,63,65,66,67,68,76,80,81,83,84,86,87,88,90,91,96,102,103,105,106,107,113}, {1,4,7,10,24,25,31,33,38,39,41,42,43,44,46,49,53,56,70,71,73,74,75,77,78,79,82,85,93,94,97,98,108,109,110,111,112,114}, {2,5,14,45,58,62,64,69,72,89,92,95,99,100,101,104}
1: {3,6,8,9,11,13,14,16,17,19,21,22,23,24,25,34,35,36,40,41,45,47,48,49,50,51,52,53,54,55,57,59,60,61,63,66,67,68,69,71,72,74,75,78,79,83,86,88,90,91,93,94,95,96,98,100,104,105,107,108,109,110,111,112,113,114}, {1,4,12,15,20,26,28,30,32,33,39,42,44,56,62,64,65,70,73,76,80,84,85,89,92,101,102}, {2,5,7,10,18,27,29,31,37,38,43,46,58,77,81,82,87,97,99,103,106}
1: {3,6,8,9,11,15,17,18,19,21,23,27,28,29,34,35,36,38,47,50,52,53,59,60,61,63,65,66,68,72,74,76,77,83,85,86,90,91,96,103,108,110,112,113}, {2,4,5,7,10,12,13,14,20,22,25,26,30,31,32,33,37,39,40,41,42,44,45,49,51,54,55,57,58,62,64,69,70,71,73,75,79,80,81,82,84,87,88,89,92,99,102,106,114}, {1,16,24,43,46,48,56,67,78,93,94,95,97,98,100,101,104,105,107,109,111}
1: {3,6,8,9,11,17,20,23,25,26,29,30,32,34,35,36,37,45,51,52,54,60,62,63,64,66,67,68,74,76,77,82,87,92,95,101,102,103,104,107}, {2,4,10,13,27,33,38,43,44,46,48,49,55,56,57,58,69,70,71,78,79,83,84,85,89,94,99,100,112,114}, {1,5,7,12,14,15,16,18,19,21,22,24,28,31,39,40,41,42,47,50,53,59,61,65,72,73,75,80,81,86,88,90,91,93,96,97,98,105,106,108,109,110,111,113}
1: {3,6,8,9,15,16,17,19,32,35,36,37,38,40,47,51,52,53,58,59,61,63,65,66,67,68,76,81,83,84,85,90,91,96,98,100,102,103,106,107,108,110,112,113}, {1,4,5,10,11,12,13,23,24,25,26,41,42,46,49,50,54,56,62,69,70,71,73,74,75,78,79,82,87,88,89,92,94,114}, {2,7,14,18,20,21,22,27,28,29,30,31,33,34,39,43,44,45,48,55,57,60,64,72,77,80,86,93,95,97,99,101,104,105,109,111}
1: {3,6,8,13,21,27,31,39,40,44,46,47,48,57,69,78,104,111}, {1,2,12,53,70,79,83,102,112}, {5,42,109}
1: {3,6,8,21,36,112,114}, {2,4,5,7,25}, {1,11,15,68}
1: {3,6,9,10,11,13,18,19,24,28,29,31,34,35,36,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,61,64,67,68,72,73,74,91,96,99,100,101,102,104,105,107,112,113,114}, {1,4,5,7,12,14,15,20,26,30,32,33,56,62,65,66,69,70,71,79,80,81,83,84,85,87,88,89,90,92,94,97,103,106}, {2,8,16,17,21,22,23,25,27,37,38,39,60,63,75,76,77,78,82,86,93,95,98,108,109,110,111}
1: {3,6,10,11,13,19,31,37,39,40,42,43,44,48,49,50,52,54,55,56,57,64,66,67,74,77,79,87,91,92,95,99,101,102,104,105,110,113,114}, {1,2,4,5,7,8,12,14,15,16,17,18,20,21,23,24,25,26,28,29,30,32,33,34,35,36,38,41,51,53,59,60,61,62,63,65,68,69,70,71,73,76,78,80,82,83,84,85,86,88,89,90,93,94,96,97,98,100,103,106,108,109,111,112}, {9,22,27,45,46,47,58,72,75,81,107}
1: {3,6,10,20,21,28,29,32,34,36,37,40,42,43,44,45,46,48,49,50,52,55,57,58,61,64,66,67,72,77,87,91,92,95,96,99,101,102,103,104,105,107,113}, {1,5,8,12,33,38,53,65,68,70,71,79,80,81,82,83,84,85,89,94,100}, {2,4,7,9,11,13,14,15,16,17,18,19,22,23,24,25,26,27,30,31,35,39,41,47,51,54,56,59,60,62,63,69,73,74,75,76,78,86,88,90,93,97,98,106,108,109,110,111,112,114}
1: {3,6,15,16,17,18,19,20,21,23,28,29,30,35,36,38,59,60,61,63,64,67,68,72,74,75,76,87,90}, {1,2,4,5,40,41,42,69,70,71,77,78,79,80,82,83,85,86,88,89}, {37,39,62,65,66,73,81,84,91,92,93}
1: {3,7,14,15,26,93}, {86,94,98}, {}
1: {3,8,13,19,29,33,35,36,38,39,41,42,47,48,49,50,52,53,54,55,56,57,59,61,63,64,68,74,75,78,83,85,87,96,98,100,102,103,110,114}, {5,9,11,15,20,23,25,26,27,30,32,43,44,46,51,70,84,88,95,99}, {1,2,4,6,7,10,12,14,16,17,18,21,22,24,28,31,34,37,40,45,58,60,62,65,66,67,69,71,72,73,76,77,79,80,81,82,86,89,90,91,92,93,94,97,101,104,105,106,107,108,109,111,112,113}
1: {3,8,14,19,22,49,52,62}, {}, {46,85}
1: {3,8,16,23,26,30,32,42,59,62,102}, {4,9,21,31,94}, {1,67,100}
1: {3,8,16,25,35,51,98}, {7,32}, 86
1: {3,9,10,18,19,28,35,36,37,38}, 2, {6,7,29,30}
1: {3,9,16,18,19,20,25,28,34,45,47,50,53,55,56,58,75,87,91,95,96,98,103,108,113}, {4,30,33,80,114}, {7,14,23,31,32,42,49,62,64,66,72,82,92,93,99,101,104,107,109,110,111}
1: {3,9,16,20,36,37,38,43,49,51,59,61,67,72,75,76,80,81,84,85,90,100,109,110}, {23,24,26,32,50,54,57,71,73,114}, {31,46,53,62,64,86,93,108}
1: {3,9,59,60,61,63,66,68}, {2,4,64}, {11,45,71,73}
1: {3,10,11,12,13,16,17,18,19,20,21,25,28,29,34,36,39,40,41,43,46,47,55,56,60,61,63,64,66,68,69,74,75,76,91,93,95,96,98,103,105,106,109,110,112,113,114}, {2,4,5,6,7,14,22,23,24,26,31,38,42,49,53,62,65,79,80,83,85,86,87,88,89,92,111}, {73,78,94,102}
1: {3,10,48}, 2, {}
1: {3,11,18,19,21,22,25,29,31,34,37,46,50,52,54,59,60,67,69,73,77,90,91,94,95,103,104,109,111,113}, {2,4,5,7,8,26,30,33,41,42,53,61,62,65,83,84,86,93,100,112}, {}
1: {3,11,29,32,34,44,52,63,65,66,74,84,96,106,113}, {2,4,8,27,38,56,83,85,89}, {49,60,110}
1: {3,16,17,24,27,28,29,32,34,35,37,40,68,73,77,86,91,95,96,99,107,108,111,113}, {8,22,23,30,33,46,53,56,62,63,66,70,76,79,83,100,101}, {5,11,13,15,20,36,42,48,49,52,55,57,74,87,92,94,97,98,102,106,110,114}
1: {3,17,19,21,29,30,34,47,58,65,77,80,97,101,110}, {5,6,9,11,18,35,50,53,54,64,74,75,78,83,84,107,108}, {4,22,32,62,93,99,104}
1: {3,19,25,43,45,67,76,114}, {4,11,27,33,40,55,56,69,81,83,85,106}, {17,62,63,91}
1: {3,28,30,35,91}, {4,31,38,42}, {}
1: {3,39,54,74,91}, {22,38,58,62,65,78}, 110
1: 4, {3,9,12,24,42,66,70,79,82}, {28,47,52,89,90}
1: {4,5,6,8,9,10,11,13,17,18,19,21,25,27,29,31,34,35,36,37,39,40,43,44,45,46,47,48,50,52,55,57,58,59,61,64,67,74,78,86,91,92,95,96,99,101,104,105,106,107,108,109,110,112,113,114}, {2,7,12,14,15,16,20,22,23,26,30,32,33,38,41,42,49,51,53,54,56,60,62,63,66,68,69,70,71,72,73,75,76,77,79,80,83,84,85,88,89,94,97,98,100,102,111}, {1,3,24,28,65,81,82,87,90,93,103}
1: {4,5,6,8,18,21,25,41,71,87,92}, {39,42,43,46,47,49,54,56,110,114}, 14
1: {4,5,6,9,12,14,18,19,27,36,38,48,52,53,55,63,65,75,83,85,91,93,97,102,103,108}, {3,22,24,26,33,40,42,44,45,49,50,56,64,69,71,73,78,81,87,89,92,99,105}, {29,41,62,72,79,94,96,100,101,107,110,111}
1: {4,5,7,8,9,13,17,19,20,21,23,28,30,32,34,35,37,48,49,50,51,52,55,57,58,59,60,62,66,67,68,70,76,82,90,91,95,100,102,103,105,106,107,109,111,113}, {2,10,11,15,24,25,31,38,39,41,42,43,44,45,46,47,53,54,56,63,64,65,69,71,74,75,78,79,83,85,89,92,93,97,98,99,101,104,108,110,114}, {1,3,6,12,14,16,18,22,26,27,29,33,36,40,61,72,73,77,80,81,84,86,87,88,94,96,112}
1: {4,5,7,8,30,34,48,74,108,110}, 57, {}
1: {4,5,8,9,10,11,13,15,17,18,19,20,21,23,29,30,33,34,35,36,37,41,43,44,47,48,49,50,52,53,54,55,56,57,58,59,61,65,66,68,71,74,78,83,86,87,88,91,95,96,100,102,103,107,108,109,112,113,114}, {2,7,14,31,39,42,51,64,67,70,77,92,99,111}, {1,3,6,12,16,22,24,25,26,27,28,32,38,40,45,46,60,62,63,69,72,73,75,76,79,80,81,82,84,85,89,90,93,94,97,98,101,104,105,106,110}
1: {4,5,8,9,11,16,17,19,21,27,28,30,34,35,36,37,40,51,58,68,71,73,74,78,79,87,88,90,91,95,96,100,101,103,104,105,106,107,108,109,110,111,113}, {2,3,7,10,12,13,14,15,23,24,25,26,29,33,39,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,59,60,61,62,63,64,65,66,67,69,70,72,75,76,77,80,81,82,83,84,89,92,98,102,112,114}, {1,6,18,20,22,31,32,38,41,85,86,93,94,97,99}
1: {4,5,13,14,16,17,18,19,21,22,23,27,28,29,34,36,37,38,40,41,48,50,51,52,53,55,59,61,63,64,66,68,69,71,72,88,91,94,95,96,100,105,107,109,113}, {3,7,9,10,11,12,15,20,24,25,26,31,32,39,42,43,44,45,46,47,49,54,56,58,62,65,67,70,77,81,83,84,85,87,89,90,101,102,104,114}, {1,2,6,8,30,33,35,57,60,73,74,75,76,78,79,80,82,86,92,93,97,98,99,103,106,108,110,111,112}
1: {4,5,14,18,36,38,40,53,60,69,84,87,89,103}, {42,55,70,93}, {81,97}
1: {4,6,8,9,15,16,17,18,19,21,26,27,28,30,34,35,37,38,51,52,53,54,55,59,60,61,63,65,66,68,71,74,79,81,85,88,95,96,97,103,108,110,111,113}, {1,2,3,5,7,10,11,12,13,20,22,23,24,25,29,31,32,33,39,40,42,43,44,45,46,49,50,56,57,58,62,64,69,70,72,73,75,78,82,83,86,90,92,93,94,98,99,101,102,105,106,109,112,114}, {14,36,41,47,48,67,76,77,80,84,87,89,91,100,104,107}
1: {4,6,8,16,34,41,57,60,63,93,100,104,109,111,112}, {25,42,51,62,66,70,92}, {30,47,103,108}
1: {4,6,9,11}, {2,3,10,13}, {}
1: {4,6,9,19,34,36,65,68,91,111}, {3,7,27,42,43,50,56,67,69,100,106,109}, {2,5,17,25,26,40,46,55,86,103}
1: {4,6,11,18,32,37,59,66,76,96}, 71, 64
1: {4,6,12,15,35,36,40,53}, 39, {7,38,42}
1: {4,6,20,22}, {}, {}
1: {4,6,20,26,27,32,36}, 77, {14,29}
1: {4,6,34,56,91,94}, {5,15,29,40,43,58,105}, 30
1: {4,7,8,9,16,17,18,19,20,21,22,23,25,28,30,32,34,35,36,37,50,52,55,57,60,61,62,63,66,68,72,76,80,82,84,86,87,90,91,95,96,102,103,106,107,110,111,113}, {2,3,5,10,11,12,13,15,24,29,31,33,38,39,40,41,42,43,44,45,46,48,49,53,54,56,64,67,69,70,71,73,75,78,79,83,85,92,94,97,98,99,101,105,112,114}, {1,6,14,26,27,47,51,58,59,65,74,77,81,88,89,93,100,104,108,109}
1: {4,7,21,29,37,87}, {13,55,67,73,78,95,99,114}, {}
1: {4,8,9,10,11,13,16,17,19,21,22,25,27,29,34,35,36,37,40,45,50,52,53,54,55,57,58,59,61,63,65,66,67,69,72,74,81,83,84,85,86,88,91,94,95,96,99,100,105,106,107,109,111,112,114}, {1,2,6,7,12,14,15,24,26,31,32,33,38,39,41,42,43,44,49,64,68,70,71,75,76,78,79,80,82,87,89,90,97,101,102,104,108}, {3,5,28,30,46,47,48,51,56,60,62,73,77,93,98,103,110,113}
1: {4,8,9,12,27,34,35,37,38,47,51,60,61,66,72,75,76,80,85,89,96,103,107}, {7,52,56,73,78,94,95,105}, {55,64,93}
1: {4,8,9,14,16,17,34,35,36,38,41,49,52,53,57,59,63,65,68,71,76,83,84,88,91,93,94,95,98,100,103,108,112}, {1,2,3,5,6,7,10,12,13,15,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,37,39,40,42,43,44,45,46,47,48,50,54,55,56,58,60,61,62,64,66,67,69,70,72,73,74,75,77,78,79,81,82,86,90,92,96,97,99,101,102,105,106,109,110,111,113,114}, {11,51,80,104,107}
1: {4,8,12,15,17,20,21,28,30,32,34,51,52,55,59,62,64,65,66,68,72,74,75,80,86,87,88,90,91,92,95,97,102,108,109,113}, {10,13,29,33,44,45,46,48,49,56,58,63,67,69,70,77,83,84,85,94,98,114}, {18,25,36,47,54,57,61,82,89,93,107,110,111}
1: {4,8,17,18,60,91,103}, {56,57}, {6,68,93}
1: {4,8,22,27,38,60,84,90,113}, {24,58,94}, {}
1: {4,9,11,13,14,15,16,17,28,35,36,38,59,60,64,76,90,96,100,103,107,113}, {7,10,56,69,70,71,73,75,78,82,89,108,114}, {3,8,24,42,43,44,49,50,55,61,67,93,104,105,112}
1: {4,9,11,17,27,36,55,72,81,87,88,91,98,103}, {3,13,31,33,39,42,48,67,69,73,92,112}, {15,22,40,64,75,76,99}
1: {4,9,17,21,22,27,38,41,51,80,84,96}, {3,33,44,50,57,101}, {6,13,15,34,58,62,72,76,104,105}
1: {4,9,18,25,26,28,29,30,32,33,34,52,55,59,67,75,76,78,79,81,82,83,84,87,88,89,90,96,98,107,108,109,111,112,113}, {7,11,12,14,22,23,31,38,40,42,44,46,49,51,54,64,68,70,72,80,101,106}, 77
1: {4,11,15,29}, 43, {10,57}
1: {4,12,16,28,53,55,68,78,93,103,104,112}, {}, {}
1: {4,12,28,32,61,65,74,89,104}, {}, {19,62,69,76,81,82,91,109}
1: {4,14,16,22,26,28,36,81,84,88,93,102,104,106}, {24,29,37,39,40,44,48,67,70,79}, {19,31,33,34,41,51,54,97,101,114}
1: {4,14,17,24,36,57,74,78,87,98,104,107,108}, {12,21,40,41,65,71,80,110}, {7,8,112}
1: {4,14,18,20,23,27,28,32,34,36,38,51,53,60,61,65,68,72,77,81,87,90,91,96,97,103,107,111,113}, {3,7,11,31,33,42,44,45,56,67,70,78,98,105,106}, {24,29,39,41,46,48,55,57,64,66,73,79,82,85,95,102,104,109}
1: {4,15,18,19,23,26,33,36,48,50,59,60,61,77,80,85,102}, {3,10,31,42,43}, {39,41,49,51,55,56,62,70,71,104,111}
1: {4,16,42}, {8,11,14,15,21,62,63,85}, {26,99}
1: {4,17,18,20,26,28,30,34,37,40,53,54,61,62,69,74,88,91,95,100,104,105,107,109,113}, {2,3,5,6,7,8,9,10,11,12,13,16,21,22,23,25,27,29,31,36,38,42,43,44,45,46,48,49,50,57,58,60,63,64,65,67,68,70,71,72,75,77,78,79,82,83,84,90,101,103,106,108,110,112,114}, {1,14,15,19,24,32,33,35,39,41,47,51,52,55,56,59,66,73,76,80,81,85,86,87,89,92,93,94,96,97,98,99,102,111}
1: {4,20,25,27,30,35,37,38,84,92}, {13,21,22,31,43,44,52,58,69,82,87,101}, {18,48,62,66,68,74,85,88,94,104}
1: {4,21,53,77,78,79,80,82,83,84,87,95,96,112}, {6,23,48,50,57,58,61,67,69,72,73,86,92,99,100,102,103,114}, {43,55,59,75,93,94,107,108}
1: {4,22,30,48,53,55,62,81,82,110}, {5,10,24,42,46,86,105,111}, {7,41,50,85,104}
1: {4,23,28,47,71,95,97,98}, {3,13,29,37,39,44,50,54,55,56,67}, {2,31,51,74,76,108,114}
1: {4,28,30,32,34,76,79,85}, {3,31,69,75,78}, {29,77}
1: {4,28,48,53,67,93,112}, {}, {2,102}
1: {4,29,57,69}, 15, {3,40}
1: {5,6,7,8,9,11,14,16,17,18,19,20,21,23,27,28,30,32,34,35,36,37,38,40,47,53,54,58,59,60,61,62,63,66,68,69,71,72,74,76,80,86,87,88,91,96,98,100,102,103,105,107,109,111,113}, {3,4,10,12,13,24,29,31,33,39,41,43,44,45,46,48,49,50,55,56,57,64,67,70,73,75,78,83,93,94,97,99,112,114}, {1,2,15,22,25,26,42,51,52,65,77,79,81,82,84,85,89,90,92,95,101,104,106,108,110}
1: {5,6,7,8,9,14,16,17,18,19,21,22,23,27,30,31,33,34,35,38,47,49,51,52,53,59,60,61,63,65,66,67,68,70,72,76,80,83,84,85,86,87,90,91,93,96,97,100,102,103,109,111,113}, {3,10,11,12,24,39,40,42,43,44,45,46,48,55,56,57,58,74,75,78,79,88,92,99,101,104,105,106,112,114}, {1,2,4,13,15,20,25,26,28,29,32,36,37,41,50,54,62,64,69,71,73,77,81,82,89,94,95,98,107,108,110}
1: {5,6,8,9,11,12,14,16,17,18,19,20,21,22,23,29,30,34,35,36,37,38,40,43,51,53,54,58,59,60,63,65,66,67,68,71,72,74,76,81,83,84,87,90,91,94,95,96,97,98,100,103,106,107,108,110,111,113,114}, {1,2,3,4,7,10,13,15,24,25,26,31,33,39,41,42,44,46,48,49,56,57,61,64,69,70,77,78,79,82,89,92,101,109,112}, {27,28,32,45,47,50,52,55,62,73,75,80,85,86,88,93,99,102,104,105}
1: {5,6,8,9,12,14,16,17,18,19,21,25,27,31,34,35,36,49,53,54,56,58,59,63,65,71,83,84,85,88,89,90,91,93,95,96,98,99,108,110,111,113}, {1,2,3,7,10,11,13,15,20,22,23,24,26,28,29,30,32,33,39,42,43,44,45,46,47,48,50,51,52,55,57,60,61,62,66,67,68,70,72,73,74,75,76,80,82,92,102,103,105,106,114}, {4,37,38,40,41,64,69,77,78,79,81,86,87,94,97,100,101,104,107,109,112}
1: {5,6,8,9,14,16,17,18,19,20,21,22,23,26,27,28,29,32,34,35,36,37,40,41,47,51,52,53,54,59,60,61,63,70,71,72,76,77,80,81,83,87,88,90,91,92,93,94,95,96,97,98,99,100,102,103,106,107,109,111,112,113}, {2,3,4,7,11,12,13,15,24,25,30,31,33,38,39,42,43,44,45,46,48,50,55,56,57,58,64,65,66,68,74,75,78,79,85,89,105,108,110,114}, {1,10,49,62,67,69,73,82,84,86,101,104}
1: {5,6,8,9,59,63,65,67}, {1,2,3,4,7,11,12,13,61,69,70,73}, {10,60,62,64,66,68}
1: {5,6,8,11,15,19,22,26,28,33,35,36,38,47,51,53,62,68,69,72,75,80,81,86,89,96,97,102,103}, {10,13,24,31,43,54,70,74,77,79,93,94,99}, {110,111}
1: {5,6,8,12,16,17,19,21,27,28,30,32,35,36,37,53,65,70,81,84,85,103,107,113}, {10,25,43,45,46,48,49,69,77,94,112}, {11,29,96,108}
1: {5,6,8,13,14,16,17,18,19,20,21,23,26,27,29,30,32,34,35,36,37,40,45,47,48,50,52,54,55,56,60,64,66,68,69,74,76,77,78,90,91,92,95,96,100,103,104,105,106,107,113}, {1,2,3,4,7,9,12,24,28,31,33,38,39,41,42,44,46,49,51,53,58,59,61,62,63,65,67,70,71,72,73,75,79,82,83,84,85,86,87,88,89,93,94,97,98,99,101,102,108,109,110,111,112,114}, {10,11,15,22,25,43,57,80,81}
1: {5,6,8,21,23,31,37,60,61,63,80,81,82,85,86,89,98,100,101,105,111}, {13,14,17,29,39,42,50,52,53,55,56,67,71,78,103,114}, {69,73,77,112}
1: {5,6,9,12,13,16,17,21,22,23,27,34,35,36,37,38,49,51,52,55,57,60,61,62,63,65,66,67,68,70,77,80,81,83,86,87,89,92,93,96,101,104,107,110,112,113}, {3,8,14,15,24,28,29,30,33,39,40,42,44,47,53,54,56,58,59,64,71,72,75,76,79,82,84,85,95,98,100,105}, {1,2,4,7,10,11,18,19,20,25,26,31,32,41,43,45,46,48,50,69,73,74,78,88,90,91,94,97,99,102,103,106,108,109,111,114}
1: {5,6,10,14,20,21,27,29,30,35,36,40,47,58,59,60,65,66,68,74,76,98,100,102,103,106,108,109,110,112,113}, {2,15,22,24,42,70,79,92}, {3,7,13,41,46,57,64,67,72,86,89,94,101}
1: {5,6,15,16,18,20,21}, 10, {}
1: {5,6,16,17,19,21,47,54,56,78,79,98}, {20,31,32,42,62,67}, {23,46}
1: {5,6,34,37,40,55,63,95,101,109,110}, {33,43,79,84}, {73,93,105}
1: {5,7,8,21,23,37,40,51,59,75,77,93,95,96,98,100,102,105,113}, {2,4,10,12,13,15,20,24,25,26,27,28,29,30,32,35,36,39,41,42,43,46,48,55,56,57,58,62,63,64,67,69,70,72,73,78,79,80,84,85,86,87,92,99,101,104,111}, {1,3,6,9,11,14,16,17,18,19,22,31,33,34,38,44,45,47,49,50,52,53,54,60,61,65,66,68,71,74,76,81,82,83,88,89,90,91,94,97,103,106,107,108,109,110,112,114}
1: {5,7,10,21,37,52,55,59,65,74,90,103,107,114}, {2,12,15,20,23,24,30,61,62,70,75,79,81,84,92,97,100,102}, {}
1: {5,8,9,11,12,13,17,18,19,21,22,23,26,27,29,34,35,36,38,40,47,51,53,54,57,61,63,64,65,68,69,72,74,76,77,82,87,88,91,94,95,96,98,103,107,113}, {3,7,15,24,25,31,39,41,42,43,44,45,46,48,49,52,55,56,58,62,67,70,71,75,78,79,80,83,84,86,89,92,99,102,106,109}, {1,2,4,6,10,14,16,20,28,30,32,33,37,50,59,60,66,73,81,85,90,93,97,100,101,104,105,108,110,111,112,114}
1: {5,8,9,11,15,16,17,18,19,21,26,27,34,35,36,37,40,47,48,50,52,55,58,61,63,67,68,69,70,71,74,79,80,83,91,94,95,96,97,99,102,105,107,108,109,110,111,112,113,114}, {3,4,7,10,12,20,22,23,24,25,29,32,33,38,39,41,42,46,53,57,62,64,65,66,72,73,77,85,89,92,101}, {1,2,6,13,14,28,30,31,43,44,45,49,51,54,56,59,60,75,76,78,81,82,84,86,87,88,90,93,98,100,103,104,106}
1: {5,8,9,14,15,17,20,21,22,23,26,27,28,30,32,34,35,36,37,38,41,51,60,61,62,63,68,70,71,80,81,87,88,89,90,91,96,103}, {3,10,11,13,24,25,31,39,40,42,43,44,45,46,47,48,49,50,52,54,56,57,58,64,67,78,94,99,105,111,112,114}, {1,2,4,6,7,12,16,18,19,29,33,53,55,59,65,66,69,72,73,74,75,76,77,79,82,83,84,85,86,92,93,95,97,98,100,101,102,104,106,107,108,109,110,113}
1: {5,8,9,14,16,17,18,19,21,22,23,27,28,30,34,35,36,38,40,47,49,52,59,61,63,67,68,69,74,80,81,87,88,90,91,94,96,97,98,100,103,104,105,106,107,111,112,113,114}, {1,2,4,11,12,13,24,29,31,32,33,37,42,43,44,45,46,48,50,51,57,62,64,66,70,71,72,73,75,77,78,79,82,83,85,86,92,95,99,101}, {3,6,7,10,15,20,25,26,41,54,55,56,58,60,65,76,84,93,102,108,110}
1: {5,8,9,14,16,17,18,19,21,23,27,28,33,34,35,36,38,53,55,59,60,61,63,65,70,71,76,77,81,82,84,87,88,89,90,91,95,96,98,100,103,106,107,109,113}, {1,2,3,4,6,10,11,12,13,15,20,22,24,25,26,29,30,31,32,37,39,40,41,42,43,44,45,46,47,48,49,50,51,54,56,57,58,64,66,67,68,69,72,73,75,78,79,80,83,85,92,93,94,99,101,102,104,105,108,111,112,114}, {7,52,62,74,86,97,110}
1: {5,8,9,14,16,17,18,19,23,26,27,28,32,34,35,36,37,38,40,47,48,49,51,53,59,61,63,65,66,68,71,72,76,81,83,87,88,91,96,97,98,100,105,109,110,113}, {3,4,7,12,13,24,31,33,39,42,43,50,54,57,58,64,67,69,70,73,74,78,92,101,104}, {1,2,6,10,11,15,20,21,22,25,29,30,41,44,45,46,52,55,56,60,62,75,77,79,80,82,84,85,86,89,90,93,94,95,99,102,103,106,107,108,111,112,114}
1: {5,8,9,16,17,20,21,23,27,34,37,38,51,52,55,61,63,68,69,70,82,83,84,86,88,91,93,95,96,98,99,100,102,103,104,106,108,109,112,113}, {2,3,4,6,11,12,13,14,15,22,24,26,28,30,32,36,42,44,47,48,50,54,56,57,58,59,79,80,81,87,92,97,105,107,111}, {7,10,18,19,25,31,49,53,60,62,64,72,73,75,76,77,78,85,89,90,94,101,110,114}
1: {5,8,9,16,17,22,30,33,35,36,51,53,60,61,63,66,70,76,81,85,87,97,100,103,104,105,108,110}, {4,6,13,42,45,46,55,56,64,77,78,99,114}, {7,109}
1: {5,8,10,11,14,16,17,18,19,20,21,25,29,34,35,36,37,38,40,47,49,50,52,54,55,56,57,58,59,61,63,67,68,71,74,77,78,79,83,91,93,94,95,101,104,106,107,108,109,110,111,112,114}, {1,2,3,4,6,7,12,15,22,23,24,26,27,30,31,32,39,41,42,43,44,45,46,48,51,53,62,64,65,66,69,70,72,73,75,76,80,81,82,84,85,87,88,89,90,97,100,102,113}, {9,13,28,33,60,86,92,96,98,99,103,105}
1: {5,8,11,14,37,41,84}, {1,21}, {27,30}
1: {5,9,11,17,18,19,20,21,22,23,27,28,30,34,35,36,40,51,53,59,61,63,67,68,69,71,76,80,82,87,91,95,96,97,100,103,105,107,109,111}, {2,3,4,10,12,13,24,29,31,33,39,42,44,48,56,57,60,64,70,75,77,78,79,84,85,88,92,99,102,106}, {1,6,7,8,14,15,16,25,26,32,37,38,41,43,45,46,47,49,50,52,54,55,58,62,65,66,72,73,74,81,83,86,89,90,93,94,98,101,104,108,110,112,113,114}
1: {5,9,11,21,34,51,82,83,93,106,110}, {4,15,23,24,26,32,39,42,46,47,48,50,53,56,62,65,67,70,76,78,80,86,87,103,109}, {28,91,112}
1: {5,9,13,15,19,23,26,29,36,38,43,55,57,58,67,96,108,113}, {11,12,49,71,88,100}, {8,22,48,56,76,92,97,98}
1: {5,9,14,17,23,27,30,34,35,37,52,55,59,65,77,79,81,87,96,98,100,106,108,113}, {2,7,10,11,12,22,28,33,38,39,46,48,49,54,58,61,62,66,69,70,71,72,73,74,85,89,92,101,102}, {1,3,4,6,8,13,15,16,18,19,20,21,24,25,26,29,31,32,36,40,41,42,43,44,45,47,50,51,53,56,57,60,63,64,67,68,75,76,78,80,82,83,84,86,88,90,91,93,94,95,97,99,103,104,105,107,109,110,111,112,114}
1: {5,9,14,28,30,35,108,111}, {15,22,52}, {29,33,74}
1: {5,11,12,18,19,21,23,25,32,35,38,41,53,54,55,57,67,75,83,86,98,100,103,104,106,112,113}, {30,61,76,81,97}, {7,8,24,73,114}
1: {5,14,27,28,40,61,62,65,71,75,80,81,85,90,91,95,103,106,107}, {37,42,53,67,70,77,94,100,110}, {6,7,46,48,105,108}
1: {5,15,16,17,33,61,68,76,107,110}, {24,25,56,57,59,112}, {12,21,31,43,62,65,69,82,87,89,101}
1: {5,15,20,21,22,23,59,60,61,62,63,65,66,68,91,95,96,97,103}, {64,67,93,94,98}, {7,25,69,92}
1: {5,16,21,23,28,31,35,40,50,59,61,86,91,93,94,105,112}, {1,6,9,11,20,30,34,39,41,42,44,49,58,60,62,64,65,66,70,72,79,80,81,87,92,98,99,101,104,106,110,111}, {33,43,76,108,109}
1: {5,18,35,36,37,40,48,49,51,52,59,61,68,69,77,78,91,93,94,95,96,100,105,107,108,109,111,113}, {2,3,6,7,12,13,14,15,16,21,22,23,25,26,30,32,34,38,42,43,53,56,62,63,65,66,70,73,74,75,76,80,82,83,85,87,89,90,92,99,102,103,110,112}, {1,4,8,9,10,11,17,19,20,24,27,28,29,31,33,39,41,44,45,46,47,50,54,55,57,58,60,64,67,71,72,79,81,84,86,88,97,98,101,104,106,114}
1: {5,18,50}, {20,40,42,45,54}, 37
1: {5,19,25,53,112}, {45,101}, {24,51,73,76,102}
1: {5,20,35,61,68}, {42,79,111,112,114}, {34,113}
1: {5,25}, 70, {3,29,33}
1: {5,26,27,28,41,77,88,97,100}, {4,29,37,40,42,43,49,54,55,105}, {20,60,75}
1: {5,28,30}, {33,67,79,93,94,98}, {29,31,60,91,92}
1: {5,28,51,60,61,63,65,66,92,107,108}, {10,39,42}, {54,59,62,64,91,99}
1: {5,30,33,38,61,93,97,98}, {45,55}, {25,68,73,86,107,111,112,114}
1: {5,74}, 46, 11
1: {5,81}, {3,65,67,69}, {}
1: {6,7,8,9,10,12,16,20,27,28,29,36,38,40,41,43,52,54,56,58,61,63,65,68,76,77,79,80,85,87,89,90,91,96,98,99,102,103,106,113,114}, {13,24,55,62,70,71,72,74,84,93,104,111}, {17,19,21,25,39,45,59,64,66,67,73,78,86,88,94,95,97,101,107,109}
1: {6,7,8,9,14,17,18,19,20,21,22,23,27,28,29,30,32,33,34,35,36,37,38,45,47,48,50,52,53,55,56,58,59,61,63,64,65,66,68,69,71,72,74,76,80,85,86,87,88,90,91,95,97,98,100,101,102,103,104,106,107,108,113}, {1,2,3,4,5,10,11,12,13,15,16,24,25,26,31,39,40,41,42,43,44,46,49,51,54,57,60,62,67,70,73,75,77,78,79,81,82,83,84,89,92,93,94,96,99,105,109,110,111,112,114}, {}
1: {6,7,8,9,16,17,18,19,20,21,22,23,27,28,33,34,35,36,38,47,60,61,63,65,68,71,76,78,81,86,88,89,91,93,96,98,100,103,107,108,109,111,113}, {3,10,12,13,15,24,26,31,39,40,42,43,44,45,48,49,50,52,54,64,70,74,75,77,84,85,92,99,104}, {1,2,4,5,11,14,25,29,30,32,37,41,46,51,53,55,56,57,58,59,62,66,67,69,72,73,79,80,82,83,87,90,94,95,97,101,102,105,106,110,112,114}
1: {6,7,14,15,31,59,75,84}, {24,40}, 86
1: {6,7,38,53,66,84,90}, {3,42,44,56,78}, 62
1: {6,8,9,10,11,12,13,14,15,16,17,19,20,21,26,27,28,29,30,33,34,35,36,37,38,47,48,49,50,51,52,53,55,57,59,60,61,63,65,66,68,71,72,75,76,82,83,84,85,86,87,88,89,90,91,95,96,97,100,103,107,110,112,113}, {18,25,31,32,39,40,42,43,44,45,54,56,58,62,67,70,74,77,78,79,92,98,99,101,104,105,106,108,114}, {22,23,24,41,46,64,69,73,80,81,93,94,102,109,111}
1: {6,8,9,10,14,16,17,19,20,27,28,34,35,36,37,40,43,44,47,48,49,50,52,53,54,55,56,57,58,59,61,67,68,69,72,78,81,86,91,94,95,96,98,100,102,103,104,105,106,107,109,110,111,113,114}, {1,2,3,4,5,7,12,15,21,22,23,25,26,29,30,31,33,38,39,41,42,46,51,60,62,63,64,66,70,71,74,75,76,77,79,80,82,83,84,85,87,89,90,92,101}, {11,13,18,24,32,45,65,73,88,93,97,99,108,112}
1: {6,8,9,11,12,16,17,18,19,21,23,24,27,34,35,36,38,40,53,59,60,61,62,63,65,68,71,74,75,81,83,84,87,88,89,90,91,96,98,100,102,105,106,107,108,109,110,111,112,113}, {3,4,5,10,13,15,33,39,42,43,44,45,48,49,52,55,57,64,67,69,70,79,86,92,93,101,114}, {1,2,7,14,20,22,25,26,28,29,30,31,32,37,41,46,47,50,51,54,56,58,66,72,73,76,77,78,80,82,85,94,95,97,99,103,104}
1: {6,8,9,11,13,16,17,18,19,20,21,22,23,27,28,29,34,35,36,37,38,40,47,48,49,52,53,54,55,56,58,59,61,63,68,72,74,76,81,83,84,85,89,90,91,95,96,98,99,100,102,105,107,108,110,112,113,114}, {1,4,10,12,15,25,26,33,39,42,50,51,62,64,67,69,70,71,86,92,101,104}, {2,3,5,7,14,24,30,31,32,41,43,44,45,46,57,60,65,66,73,75,77,78,79,80,82,87,88,93,94,97,103,106,109,111}
1: {6,8,9,11,13,16,18,21,23,24,32,35,40,45,48,50,52,53,55,57,59,61,63,66,71,87,88,91,95,97,99,106,107,109,113,114}, {4,5,12,22,25,44,49,56,58,69,70,73,77,78,92,93,94,96,104}, {7,15,27,64,67,85,101}
1: {6,8,9,11,15,16,18,19,21,22,23,27,28,30,34,35,36,58,61,63,64,65,68,69,72,73,76,80,81,83,90,91,95,97,100,102,103,107}, {1,2,3,4,5,7,10,12,13,14,24,25,26,29,31,32,37,38,40,42,43,44,45,46,47,48,49,53,54,56,57,59,62,66,67,70,71,74,75,77,78,79,84,85,88,89,92,93,94,96,98,101,105,106,108,109,112,113,114}, {17,20,33,39,41,50,51,52,55,60,82,86,87,99,104,110,111}
1: {6,8,9,11,16,17,19,20,21,26,27,30,32,33,34,35,38,40,49,51,53,54,55,60,62,66,68,70,72,74,76,83,85,86,87,91,93,95,96,97,102,105,107,113}, {3,13,15,25,31,39,41,42,43,46,50,56,57,58,67,69,79,94,99,112}, {1,2,4,5,7,10,12,14,18,22,23,24,28,29,36,37,44,45,47,48,52,59,61,63,64,65,71,73,75,77,78,80,81,82,84,88,89,90,92,98,100,101,103,104,106,108,109,110,111,114}
1: {6,8,9,14,15,18,19,20,21,23,26,27,30,32,34,35,36,37,38,40,50,51,52,53,55,61,63,65,66,68,69,71,72,76,78,80,85,86,87,88,89,90,91,92,93,95,100,102,107,108,109,110}, {3,4,5,7,16,22,24,25,31,39,41,42,43,44,45,46,47,48,49,54,56,57,58,64,67,74,75,77,79,82,94,101,104,105,111,112,113,114}, {2,10,11,12,13,33,59,62,70,73,81,96,97,98,99,103,106}
1: {6,8,9,14,16,17,18,19,20,21,22,23,26,27,28,30,34,36,37,38,49,53,59,61,63,64,65,70,71,76,77,79,80,81,82,84,85,87,88,90,91,93,96,97,98,102,104,113}, {1,3,4,5,7,10,11,12,15,24,25,29,31,32,33,39,40,42,44,46,47,48,50,52,54,55,56,57,58,67,69,75,78,83,89,92,100,101,105,107,110}, {2,13,35,41,43,45,51,60,62,66,68,72,73,74,86,94,95,99,103,106,108,109,111,112,114}
1: {6,8,9,14,18,19,20,23,29,30,34,35,36,37,50,51,52,55,57,59,60,61,63,65,66,72,75,77,80,81,83,87,91,93,95,96,98,100,103,105,106,107,108,109,110,111,113}, {3,4,5,7,10,12,15,24,26,27,32,38,39,41,42,46,49,56,64,68,69,70,73,76,78,79,92,97,99,101}, {1,2,11,13,16,17,21,22,25,28,31,33,40,43,44,45,47,48,53,54,58,62,67,71,74,82,84,85,86,88,89,90,94,102,104,112,114}
1: {6,8,9,14,19,20,21,22,23,27,28,29,30,32,34,35,36,37,39,53,54,58,60,61,63,65,66,68,69,72,73,76,81,86,87,89,90,91,92,95,97,98,101,103,104,107,109}, {1,3,4,7,10,12,17,24,31,38,41,43,44,45,46,55,70,75,77,78,79,83,94,99,100,105,106,111,112}, {2,5,11,13,15,16,18,25,26,33,40,42,47,48,49,50,51,52,56,57,59,62,64,67,71,74,80,82,84,85,88,93,96,102,108,110,113,114}
1: {6,8,9,21,27,29,33,34,35,36,38,40,52,61,63,67,72,91,103,104,113}, {1,7,12,13,15,24,26,31,39,42,57,58,70,71,78,99,102,105}, {2,3,4,5,10,11,14,16,17,18,19,20,22,23,25,28,30,32,37,41,43,44,45,46,47,48,49,50,51,53,54,55,56,59,60,62,64,65,66,68,69,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,92,93,94,95,96,97,98,100,101,106,107,108,109,110,111,112,114}
1: {6,8,10,11,16,20,24,48,55,57,74,110}, {3,22,43,70}, 82
1: {6,8,11,12,19,20,25,26,34,37,51,60,63,65,68,81,85,107,109,111,113}, {3,10,31,42,49,58,73,75,78,94}, {7,13,29,38,39,44,45,46,48,52,53,54,55,59,62,64,69,74,90,93,99,101,104,110}
1: {6,8,11,19,23,40,41,52,55,68,79,105,106}, {7,12,13,31,100,111}, {14,32,54,59,72,73,82,89,99}
1: {6,8,11,80,90,96,109}, {4,73,101}, {33,85}
1: {6,8,16,17,19,20,21,22,23,27,28,34,35,36,38,51,53,60,66,68,71,73,76,81,87,88,91,96,98,100,103,111,113}, {1,3,4,7,10,11,12,13,15,24,25,26,30,31,32,33,37,39,40,42,43,44,45,46,47,48,49,50,54,56,57,58,67,69,70,72,74,75,78,79,80,82,83,84,85,92,102,114}, {2,5,9,14,18,29,41,52,55,63,65,77,86,89,90,93,94,95,97,99,101,104,105,106,107,108,109,110}
1: {6,8,24,34,41,54,55,75,90,109,110,111,112,114}, {5,23,25,30,83}, {57,76,80,101}
1: {6,8,37,59,60,62,76}, {7,33,75}, {3,5}
1: {6,9,10,11,13,16,17,19,20,24,25,29,35,36,37,39,40,42,43,44,45,46,47,48,49,50,52,55,56,57,58,59,61,62,64,66,67,68,69,70,72,74,75,77,78,79,81,86,87,90,91,92,93,95,96,98,101,102,104,105,106,107,108,109,110,111,112,113,114}, {4,5,7,12,14,15,18,21,22,23,26,27,28,32,38,41,51,53,63,65,71,73,76,80,82,83,84,85,88,89,97,99,100}, {1,2,3,8,30,31,33,34,54,60,94,103}
1: {6,9,10,11,17,18,19,21,27,28,34,35,36,40,41,47,49,50,51,52,53,54,55,57,58,59,61,63,64,67,72,75,78,79,90,96,99,101,102,103,104,105,106,108,110,111,112,113}, {2,4,5,7,8,12,13,14,15,16,22,23,24,25,26,30,33,39,42,46,48,56,65,70,71,73,76,80,81,82,83,85,89,92,97,107,109}, {1,3,20,29,31,32,37,38,43,44,45,60,62,66,68,69,74,77,84,86,87,88,91,93,94,95,98,100,114}
1: {6,9,10,16,18,19,29,35,36,38,47,48,50,54,56,59,61,65,78,83,84,88,95,100,102,105,109,111,112}, {4,24,25,30,31,33,39,46,53,57,58,60,62,63,64,66,69,70,72,75,76,80,82,87,89,90,97,103}, {68,99,104}
1: {6,9,12,14,17,21,22,23,30,34,35,36,38,51,53,59,60,61,63,65,66,68,70,71,72,74,76,80,83,86,87,88,90,91,95,96,97,100,103,105,107,109,113}, {4,15,26,32,37,39,50,56,64,75,78,81,93,94,98,99,101,110,112}, {2,3,5,8,10,13,29,41,43,44,45,46,49,52,57,62,67,73,85,92,102,104,106,114}
1: {6,9,14,16,17,18,19,20,21,22,23,28,30,32,33,34,35,36,37,38,41,51,55,57,58,59,63,65,68,69,72,76,80,87,88,90,91,94,95,96,98,100,103,107,108,111,112,113}, {4,5,12,13,15,25,26,27,31,39,42,44,45,49,54,62,71,77,78,81,83,92,97,99,101,109}, {2,3,7,8,10,11,43,46,47,48,50,52,56,60,64,66,67,73,74,75,79,84,93,102,105,106,110,114}
1: {6,9,15,16,32,43,45,48,59,60,61,62,63,66,67,68,75,76,85,87,88}, {31,39,44,47,64,69,70,71,72,73,78,79,89}, {65,74,77,90}
1: {6,9,16,20,21,22,23}, {10,15}, {4,5,7,8}
1: {6,9,18,21,22,23,27,33,35,36,38,53,55,59,63,68,71,72,74,76,84,85,88,89,91,94,96,103,107,109,110,112,113}, {3,4,5,7,12,13,14,15,20,24,25,32,42,43,45,48,49,54,56,62,67,69,70,75,83,86,90,92,93,95,99,102,105}, {1,2,10,11,17,31,37,39,41,46,50,51,52,57,58,60,73,78,80,82,97,98,100,104}
1: {6,10,19,27,31,37,45,47,49,51,52,57,58,59,77,92,95,96,103,104,105,106,107,108,110,111,113,114}, {26,41,70,75,76,79}, {4,14,53,60,66,112}
1: {6,11,14,16,17,20,21,23,26,34,35,36,37,38,40,41,51,52,53,54,59,61,63,67,72,74,81,83,88,89,91,94,95,96,103,104,105,106,112,113}, {1,2,3,4,5,7,9,10,12,13,15,22,24,25,27,28,31,33,39,42,43,44,45,46,49,50,55,56,57,58,60,62,65,66,68,69,70,71,73,75,76,77,78,79,80,82,84,85,86,87,92,93,97,98,101,107,108,109,110,111,114}, {8,18,19,29,30,32,47,48,64,90,99,100,102}
1: {6,11,16,17,18,19,21,22,23,27,28,34,35,36,37,43,45,48,49,51,52,55,59,60,61,63,64,66,68,69,71,73,76,78,79,87,90,91,92,94,95,101,103,104,106,107,111,112,113}, {1,2,4,5,7,9,10,12,14,15,24,25,26,31,33,38,39,40,42,44,47,50,53,54,56,58,62,67,70,72,74,75,77,80,81,82,83,84,85,86,88,93,96,97,100,102,105,109,110,114}, {3,8,13,20,29,30,32,41,46,57,65,89,98,99,108}
1: {6,11,18,19,21,76,83,90,99,107}, {24,58,64,78,92}, {20,37,93}
1: {6,12,15,16,18,20,32,34,37,39,40,47,51,52,53,61,63,65,70,74,75,77,78,86,88,95,99,103,104,106,107,108,112,113}, {3,9,10,14,23,24,25,42,45,55,56,57,58,66,76,84,92,100}, {11,17,41,48,60,62,68,73,85}
1: {6,12,37,40,68,74,79,109}, {10,24,31,41,44,49,57}, {76,85,100}
1: {6,13,32,37,39,45,63,66,69,95,113}, {12,30,33,53,73,103}, {1,17,25,62,76,90}
1: {6,14,17,27,40,47,59,68,79,82,88,89,102,108,113}, {13,24,31,39,44,49,55,109}, {32,33,58,60,75}
1: {6,14,19,27,28,32,36,52,61,66,68,83,96,99,101,102,107,109,114}, {11,12,23,25,31,33,38,40,43,62,97,98,105,111}, {37,51,56,85,100,110}
1: {6,14,49}, {57,101,107}, {7,50,52,62,70}
1: {6,15,16,20,21,23}, {}, {2,3,4,5}
1: {6,16,17,18,19,21,22,23,27,28,34,35,36,38,41,47,48,50,51,52,55,59,61,63,65,68,79,81,83,88,90,91,93,96,100,106,107,108,109,110,111,113,114}, {2,7,10,12,24,26,29,31,33,39,42,49,56,62,64,66,70,72,75,78,85,87,89,92}, {1,3,4,5,8,9,11,13,14,15,20,25,30,32,37,40,43,44,45,46,53,54,57,58,60,67,69,71,73,74,76,77,80,82,84,86,94,95,97,98,99,101,102,103,104,105,112}
1: {6,16,17,19}, {1,15,25}, {9,18}
1: {6,16,17,19,50,77,97,108,110}, {10,24,57,95,99}, {9,34,37,43,45,46,62,100,112,114}
1: {6,16,24}, {}, 59
1: {6,16,33,40,63,76,84,85,108}, {39,44,52,55,56,78,114}, {14,34,64,73,94,107}
1: {6,17,19,36,48,49,55,77,88,102,107,109}, {43,46,56,57,58,82}, {5,28,50,71,73,79,87,96,97,104}
1: {6,18,33,71,86,88}, {4,104,108}, {57,93}
1: {6,23,37,62,113}, {}, {}
1: {6,29,40,59,63,65,66,91,108,111}, {28,61,64,101}, {}
1: {6,29,58,61,90,91,106}, {52,93}, {33,41,108}
1: {6,29,63,68,75,83,100}, {32,40,67,74}, 7
1: {6,33,41,80}, {}, {}
1: {6,43,45,67,91,102}, {8,26,58,70}, {}
1: {6,47,51,52,72,86,95,96,102,105,106,113}, {4,30,66,81}, {44,46,99}
1: {6,59,60,61,62,68,83,84}, 5, {44,67}
1: {6,59,112}, {11,12}, 46
1: {7,8,9,11,17,18,19,21,22,23,27,28,30,33,35,36,37,38,49,53,55,58,59,60,61,63,65,66,67,68,69,71,76,81,83,84,87,88,89,91,93,95,100,102,103,106,108,109}, {1,2,3,4,12,13,24,25,31,39,41,43,44,45,46,56,57,75,77,78,79,82,85,99,101,104,110,111,112}, {5,6,10,14,15,16,20,26,29,32,34,40,42,47,48,50,51,52,54,62,64,70,72,73,74,80,86,90,92,94,96,97,98,105,107,113,114}
1: {7,8,9,12,16,18,19,21,23,27,28,29,34,35,36,37,40,52,53,55,57,59,60,61,62,63,65,67,68,71,72,74,76,86,87,90,91,93,95,96,97,98,100,102,104,105,106,107,108,109,110,111,113}, {3,4,15,17,20,26,30,32,33,39,42,43,44,46,48,49,50,69,70,80,84,89,92,99,112}, {1,2,5,6,10,11,13,14,22,24,25,31,38,41,45,47,51,54,56,58,64,66,75,79,81,83,85,88,94,101,103,114}
1: {7,8,9,19,24,25,28,31,37,40,41,47,48,51,53,54,59,60,61,62,64,66,68,71,74,75,77,79,81,82,84,87,88,89,90,92,93,95,104,105,109,110,114}, {1,2,3,4,5,6,12,13,14,15,16,17,18,20,21,22,23,26,27,29,30,32,33,35,36,38,42,43,44,45,46,49,50,52,55,56,57,58,63,67,69,70,72,73,76,80,83,85,91,94,97,98,100,103,107}, {10,11,34,39,65,78,86,96,99,101,102,106,108,111,112,113}
1: {7,8,10,13,14,20,34,38,44,52,55,62,66,68,72,75,81,88,99,102,106,107,110}, {5,12,24,33,39,43,56,70,71,79,83,84,101,113}, {23,41,57,58,74,76,108}
1: {7,8,12,14,38,67,75,84,97,101,103,111}, {11,46,64,99}, {62,85,100}
1: {7,9,16,28,66,74,76,81,84,98,101,103,106,108}, {4,5,31,33,41,49,71,82}, 26
1: {7,9,19,23,26,27,33,34,41,59,61,62,65,84,86,90,91,92,95,102,106,113}, {3,10,12,48,54,77,78,79}, {69,103,111}
1: {7,17,18,19,29,30,34,35,36,38}, {3,31,33,39}, {2,8,15,28,32,37,40}
1: {7,20,29,52}, {}, {2,89}
1: {7,24,25,107}, {62,71,101,113}, {15,28,81}
1: {7,27,28,30,34,35,36,37,38,51,61,62,65,69,71,76,83,93,103}, {3,10,25,31,39,42,46,48,54,57,64,67,75,101}, {4,6,22,26,29,40,45,59,95,105,111,112}
1: {7,28,29,30}, {}, 9
1: {7,28,32}, {}, 29
1: {7,29,31,34}, {2,33}, 32
1: {8,9,10,11,13,16,21,34,35,36,37,40,43,44,45,47,48,49,50,52,53,54,55,56,57,58,59,61,63,67,69,72,74,77,79,82,83,91,93,94,95,96,98,100,103,105,106,107,109,110,111,112,113}, {1,4,5,6,7,15,20,22,24,25,29,31,32,33,38,39,42,51,62,64,66,68,70,71,76,78,80,81,84,85,87,89,92,97,101,102,104,114}, {2,3,12,14,17,18,19,23,26,27,28,30,41,46,60,65,73,75,86,88,90,99,108}
1: {8,9,10,18,19,20,22,23,27,28,29,31,32,34,35,36,37,38,47,48,49,50,52,53,55,57,59,61,63,64,65,66,67,68,72,76,77,83,84,85,87,90,91,93,94,95,100,102,103,106,107,110,112,113,114}, {1,2,3,4,5,6,7,11,12,15,16,17,25,26,39,40,41,42,46,51,56,62,69,70,75,78,79,82,88,92,96,99,101,105,108,111}, {13,14,21,24,30,33,43,44,45,54,58,60,71,73,74,80,81,86,89,97,98,104,109}
1: {8,9,11,12,16,17,18,19,20,21,23,26,27,28,32,34,35,36,38,40,51,54,59,60,63,66,68,69,71,74,76,80,81,83,86,88,89,90,91,93,95,96,97,100,102,107,108,109,110,113}, {1,2,3,7,10,13,15,25,29,31,39,41,42,43,44,45,46,48,55,56,58,64,67,75,77,78,79,82,92,94,101,104,105,112,114}, {4,5,6,14,22,24,30,33,37,47,49,50,52,53,57,61,62,65,70,72,73,84,85,87,98,99,103,106,111}
1: {8,9,11,14,16,17,18,19,21,22,23,28,29,30,32,34,35,36,38,41,50,51,53,59,66,68,71,72,76,81,86,87,88,89,91,95,96,100,103,107,108,109,113}, {3,4,10,12,13,24,25,31,42,43,44,45,46,48,49,54,56,61,63,67,69,70,73,79,83,92,94,98,105,111,112}, {1,2,5,6,7,15,20,26,27,33,37,39,40,47,52,55,57,58,60,62,64,65,74,75,77,78,80,82,84,85,90,93,97,99,101,102,104,106,110,114}
1: {8,9,11,14,18,19,21,22,23,26,27,30,33,34,35,36,37,53,54,58,59,60,61,62,63,66,70,76,87,88,95,100,103,107}, {2,7,12,15,24,25,29,31,38,39,41,42,43,44,46,50,55,65,75,77,78,92,99,101,111,114}, {1,3,4,5,6,10,13,16,17,20,28,32,40,45,47,48,49,51,52,56,57,64,67,68,69,71,72,73,74,79,80,81,82,83,84,85,86,89,90,91,93,94,96,97,98,102,104,105,106,108,109,110,112,113}
1: {8,9,11,16,17,18,19,21,27,28,30,34,35,37,47,53,56,59,60,61,65,68,71,74,75,76,77,81,84,88,96,98,99,102,103,109,110,111,112,113}, {3,5,10,12,13,23,33,39,40,41,42,43,44,45,46,48,50,57,70,73,78,79,83,85,94,97,105}, {1,2,4,6,7,14,15,20,22,24,25,26,29,31,32,36,38,49,51,52,54,55,58,62,63,64,66,67,69,72,80,82,86,87,89,90,91,92,93,95,100,101,104,106,107,108,114}
1: {8,9,11,17,18,21,34,36,47,55,58,60,63,66,71,73,76,79,91,93,100,108,111}, {10,12,15,24,29,32,39,40,42,43,44,48,50,54,57,62,64,72,74,75,103,105,106,107}, {3,5,13,25,26,45,56,67,68,77,80,82,84,87,89,92,99,114}
1: {8,9,11,17,20,21,27,28,30,31,32,34,35,36,37,40,41,45,47,50,51,52,53,57,58,59,61,62,64,66,67,68,72,74,76,81,86,87,88,90,91,92,94,95,96,101,104,107,109,110}, {1,2,3,4,7,12,15,22,23,24,25,26,38,42,43,44,46,48,56,63,65,70,71,75,77,78,79,82,83,84,85,89,93,97,99,105,108,111,112,113,114}, {5,6,10,13,14,16,18,19,29,33,39,49,54,55,60,69,73,80,98,100,102,103,106}
1: {8,9,11,17,24,25,31,35,37,39,49,51,52,60,64,67,69,75,77,78,81,82,88,89,90,93,96,99,104,108,109,110,111,112}, {2,3,4,5,6,10,12,13,14,15,16,19,21,22,23,26,27,28,29,30,32,33,34,36,38,40,41,42,43,44,45,46,47,48,50,53,54,55,56,57,58,61,62,63,65,66,70,72,73,74,76,79,80,83,85,87,91,92,94,95,97,98,101,102,103,105,106,107,113,114}, {1,7,18,20,59,68,71,84,86,100}
1: {8,9,11,21,22,23,34,35,36,37,45,50,52,60,61,62,63,81,83,88,91,95,100,102,104,107,108,113}, {3,12,13,15,20,24,25,26,33,38,39,41,42,44,48,49,56,57,58,67,69,70,75,78,79,89,92,105,109,112}, {1,2,4,5,6,7,10,14,16,17,18,19,27,28,29,30,31,32,40,43,46,47,51,53,54,55,59,64,65,66,68,71,72,73,74,76,77,80,82,84,85,86,87,90,93,94,96,97,98,99,101,103,106,110,111,114}
1: {8,9,12,14,15,16,17,20,22,23,25,26,27,28,30,32,34,35,41,47,51,52,59,61,62,63,65,66,68,76,80,81,83,84,85,87,88,89,91,92,95,96,97,98,103,104,107,109,113}, {3,7,10,11,13,24,29,31,39,40,42,43,44,45,46,48,49,50,54,55,56,57,58,67,69,70,71,73,74,75,77,78,79,94,99,105,106,110,111,112,114}, {1,2,4,5,6,18,19,21,33,36,37,38,53,60,64,72,82,86,90,93,100,101,102,108}
1: {8,9,13,18,19,21,27,29,34,35,36,37,40,55,56,57,59,61,63,74,91,94,95,96,100,103,106,107,113}, {4,5,7,12,15,16,20,22,24,25,26,31,33,39,42,43,44,64,70,72,77,84,85,93,98,102,111,114}, {1,2,3,6,10,11,14,17,23,28,30,32,38,41,45,46,47,48,49,50,51,52,53,54,58,60,62,65,66,68,69,71,73,75,76,78,79,81,82,83,86,87,89,90,92,97,99,101,104,105,108,110}
1: {8,9,14,15,16,17,18,19,20,21,22,23,26,27,28,30,34,35,36,38,40,41,47,50,53,54,59,61,63,65,69,71,72,74,77,80,83,87,88,91,93,94,95,96,97,98,100,102,103,104,106,107,108,111,113}, {1,2,3,4,5,6,7,10,12,13,24,25,29,31,33,37,39,42,43,44,45,46,48,49,52,55,56,57,58,60,62,64,66,67,68,70,73,75,78,79,81,82,84,85,86,89,92,99,105,110,114}, {11,32,51,76,90,101,109,112}
1: {8,9,14,16,18,19,20,21,23,28,30,32,33,34,36,37,51,53,55,60,62,66,68,69,72,74,76,81,87,88,96,97,98,100,108,110,113}, {2,10,24,31,38,39,42,44,46,49,54,56,57,70,71,75,79,80,85,89,90,92,93,105,114}, {1,3,4,5,6,7,11,12,13,15,17,22,25,26,27,29,35,40,41,43,45,47,48,50,52,58,59,61,63,64,65,67,73,77,78,82,83,84,86,91,94,95,99,101,102,103,104,106,107,109,111,112}
1: {8,9,14,28,36}, {39,47,51,85}, 86
1: {8,9,15,17,18,19,20,21,22,23,28,32,34,37,45,50,51,52,55,57,58,61,63,64,68,72,77,80,81,85,86,88,91,95,100,103,107}, {2,4,10,11,12,24,31,41,42,49,56,62,69,70,75,79,87,89,101,114}, {1,3,5,6,7,13,14,16,25,26,27,29,30,33,35,36,38,39,40,43,44,46,47,48,53,54,59,60,65,66,67,71,73,74,76,78,82,83,84,90,92,93,94,96,97,98,99,102,104,105,106,108,109,110,111,112,113}
1: {8,9,16,17,18,19,21,22,23,27,33,34,36,37,38,59,60,62,65,66,68,71,74,76,81,83,84,85,88,89,90,91,96,97,98,100,103,113}, {3,4,10,13,15,24,25,29,39,40,42,43,44,45,46,47,48,49,50,52,55,56,57,63,67,69,72,92,99,101,105,111,112,114}, {1,2,5,6,7,11,12,14,20,26,28,30,31,32,35,41,51,53,54,58,61,64,70,73,75,77,78,79,80,82,86,87,93,94,95,102,104,106,107,108,109,110}
1: {8,9,16,17,18,21,23,27,28,32,34,35,37,38,53,54,60,71,74,76,78,81,84,85,88,89,91,94,96,98,100,110,112,113}, {3,4,6,7,10,12,13,14,15,25,26,29,30,31,39,42,43,44,47,48,50,51,52,57,58,61,62,64,67,69,72,75,92,99,101,104,106,111,114}, {1,2,5,11,19,20,22,24,33,36,40,41,45,46,49,55,56,59,63,65,66,68,70,73,77,79,80,82,83,86,87,90,93,95,97,102,103,105,107,108,109}
1: {8,9,17,18,19,20,21,22,23,30,34,36,37,40,52,54,55,56,57,61,65,68,69,76,83,85,90,91,93,95,96,100,102,104,106,108,110}, {1,3,4,5,7,10,12,14,15,24,26,27,29,31,32,33,35,38,39,42,43,44,46,48,49,51,53,58,60,62,66,70,71,72,75,78,79,80,81,82,84,87,88,89,92,94,99,101,103,107,109,111,112,114}, {2,6,11,13,16,25,28,41,45,47,50,59,63,64,67,73,74,77,86,97,98,105,113}
1: {8,9,17,18,19,21,22,23,27,28,33,34,35,36,38,41,53,59,61,63,65,66,68,74,83,84,85,87,88,89,91,96,97,103,107,113}, {3,7,10,13,25,31,37,39,40,42,43,44,45,46,50,52,55,57,62,64,67,92,99,105}, {1,2,4,5,6,11,12,14,15,16,20,24,26,29,30,32,47,48,49,51,54,56,58,60,69,70,71,72,73,75,76,77,78,79,80,81,82,86,90,93,94,95,98,100,101,102,104,106,108,109,110,111,112,114}
1: {8,9,17,23,28,36,51,61,78,81,87,88}, {10,29,33,39,42,50,57,64,114}, {7,12,18,40,41,52,58,72,73,77,79,89,90,102,111,112,113}
1: {8,9,18,19,21,23,25,27,28,34,35,36,37,40,47,51,54,55,59,61,63,65,68,69,72,74,81,83,84,85,88,90,94,95,96,97,100,103,105,107,109,113}, {5,7,10,11,13,15,24,26,32,33,38,39,41,43,44,48,49,56,57,58,70,77,79,80,87,92,99,101,104,106}, {1,2,3,4,6,12,14,16,17,20,22,29,30,31,42,45,46,50,52,53,60,62,64,66,67,71,73,75,76,78,82,86,89,91,93,98,102,108,110,111,112,114}
1: {8,9,21,23,34,35,40,60,62,71,91,100,104}, {3,4,25,31,39,41,42,44,46,48,52,61,79,101}, {2,7,12,17,19,38,49,50,56,58,64,73,74,76,90,93,109,110}
1: {8,9,22,27,35,36,37,40,41,47,55,56,57,58,59,61,63,69,71,77,81,83,84,85,88,89,93,94,95,96,100,112,113}, {1,3,4,6,7,10,12,13,15,16,17,20,21,23,24,26,30,31,32,34,39,42,43,44,45,46,48,49,50,52,53,60,64,65,66,67,68,70,73,75,76,78,79,80,82,87,90,92,99,104,109,110,111,114}, {5,11,14,18,19,25,28,29,33,38,51,54,72,74,86,91,97,98,102,103,105,106,107,108}
1: {8,9,26,29,32,34,37,51,58,59,61,65,67,105,109,113,114}, {15,39,56,57,70,75,79,81,94,111}, {33,44,45,100,101,102}
1: {8,9,27,45,47,51,65,66,76,91,95,112,113}, {32,33,43,60,62,70,82,87,94,97,111}, {11,16,18,34,44,46,68,74,106}
1: {8,9,34,107}, {2,3,32,57}, {11,53,97}
1: {8,9,37,39,40,49,52,54,56,110}, {4,7,16,26,57,85}, {14,51,109}
1: {8,9,37,84,85}, {3,10,22,24,38,39,44,61,68,69,92,101,111,112}, {1,2,4,5,6,7,11,12,13,14,16,18,19,23,26,27,28,29,30,31,33,34,36,41,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,62,63,64,66,70,71,72,73,74,77,78,82,86,87,88,89,91,93,94,95,96,97,98,99,100,103,104,105,106,107,108,109,113,114}
1: {8,11,12,17,26,32,39,41,45,47,52,63,67,68,81,86,87,92,96,97,99,110,111}, {4,5,10,22,25,44,49,70,71,85,93,94,98}, {7,48}
1: {8,11,14,16,17,18,30,33,35,36,37,41,46,48,52,56,59,62,63,65,76,77,83,88,90,91,94,98,107,108,109,113}, {3,5,6,13,15,22,24,25,26,27,28,32,38,39,40,42,43,45,49,50,51,55,60,61,64,67,68,69,70,72,73,75,78,80,84,85,89,97,99,100,102,105,106,110,114}, {86,87,101}
1: {8,12,14,16,17,34,41,61,66,71,74,76,79,80,83,85,90,91,100,102,103,112}, {3,4,24,40,42,45,48,49,52,57,67,69,75,101,105,111,114}, {2,5,7,15,21,25,29,33,47,53,59,62,64,72,86,87,94,95,98,104,106,113}
1: {8,12,16,20,22,51,52,61,76,83,86,90,91,103,105,107}, {13,15,24,25,26,40,50,54,56,75,78,79,92,99,104,111,112,114}, {21,30,38,47,102,108,109,110}
1: {8,12,27,68}, {}, 37
1: {8,14,16,18,19,22,28,54,103}, {11,25,34,44,46,56,75}, {6,55,64}
1: {8,14,18,19,20,27,28,32,34,36,38,47,60,65,83,86,98,108,110}, {3,26,31,37,69,78,82,101}, {4,7,11,16,33,44,45,48,54,97,114}
1: {8,14,18,19,21,22,23,33,36,37,38,40,59,60,61,66,77,81,88,91,100,103,104,105,108,111}, {2,3,6,10,12,13,15,20,24,26,29,30,32,35,39,42,43,44,45,46,47,49,50,54,55,57,58,62,64,67,72,75,78,79,80,82,86,87,92,96,97,98,99,112,113,114}, {1,4,5,7,9,11,16,17,25,27,28,31,34,41,48,51,52,53,56,63,65,68,69,70,71,73,74,76,83,84,85,89,90,93,94,95,101,102,106,107,109,110}
1: {8,15,20,23,24,28,29,43,44,45,47}, {5,46,49}, {}
1: {8,16,17,18,19,20,21,23,27,28,29,32,34,35,36,37,38,39,47,48,50,52,53,59,61,63,65,69,71,72,76,77,81,84,85,87,91,94,96,97,98,101,102,103,104,105,107,109,110,111}, {1,3,5,7,10,11,13,14,15,24,25,26,31,33,40,42,44,45,46,49,54,55,56,58,60,64,67,68,70,75,78,79,80,83,89,93,95,99,100,106,108,114}, {2,4,6,9,12,22,30,41,43,51,57,62,66,73,74,82,86,88,90,92,112,113}
1: {8,16,20,40,54}, {24,28,48,55,94,112}, 6
1: {8,17,18,19,23,27,29}, {3,4,7,11,12,15,16,20,24,25,26,43,44}, {1,2,5,6,9,10,13,14,21,22,45}
1: {8,17,20,26,47}, 37, 113
1: {8,17,21,38,51,59,81,85,90,102}, {29,39,44,57,58,62,72,87,99,105}, 74
1: {8,17,55,69,91}, 26, {9,16,56,60,63}
1: {8,21,22,34,35,36,37,38,63,68,71,76,88,89,90,96,100,113}, {3,7,11,12,13,24,29,39,41,42,44,48,50,52,55,56,57,58,64,67,72,75,78,81,92,99,101,104,106,114}, {1,2,4,5,6,9,10,14,15,16,17,18,19,20,23,25,26,27,28,30,31,32,33,40,43,45,46,47,49,51,53,54,59,60,61,62,65,66,69,70,73,74,77,79,80,82,83,84,85,86,87,91,93,94,95,97,98,102,103,105,107,108,109,110,111,112}
1: {8,21,49,50,51,57,68,93,94,97,98,104,108,109,110,111,114}, {3,4,15,20,24,26,38,44,56,73,76,80,88,89,102,105,112}, {13,29,31,64,69}
1: {8,22,29,71,72,96,108}, {58,67}, 10
1: {8,22,30,34,35,63}, {12,15,24,42}, {3,4,10,17,20,29,41,44,45,50,52,53,55,57,59,64,72,80,82,83,85,108}
1: {8,22,33,47,49,54}, {3,19,26,29,30,53}, {21,23,109}
1: {8,23,27,30,32,62,76,83,88,100}, {45,52,55,92,101}, {6,70,106}
1: {8,23,28,35,61,63,75,106}, {55,56,57,77,80,84,99,105}, {7,69}
1: {8,23,28,49,87,99}, {12,13,27,31,36,39,43,44,48,55,57,58}, {1,38,47,86}
1: {8,27,37,41,53}, 42, {5,11,38,40,59}
1: {8,30,65,95}, {11,14,17,51,71,97}, 90
1: {8,32,90}, {3,77}, {2,6,60,66,75,76,78}
1: {8,34,36,37,40,59,61,63,65,71,74,77}, {1,3,5,6,7,28,29,30,31,32,33,38,39,60,62,64,66,67,69,70,72,73,75,76,80,81,82}, {9,10,35,68,78,79}
1: {8,40,61}, {28,38,43,50}, {18,25,46}
1: {8,47}, {24,39,42,58}, {}
1: {8,55,88,104}, {}, 57
1: {8,56,57,59}, 63, {}
1: {8,76,112}, 13, {}
1: {9,10,11,18,19,20,21,22,23,25,28,32,33,34,35,36,37,40,45,48,51,52,54,55,57,59,60,61,63,65,66,67,69,72,74,79,82,86,90,91,93,94,95,96,98,100,101,103,104,105,107,108,109,110,111,113}, {2,3,5,12,15,16,24,26,39,42,56,58,70,71,75,76,80,89,92,97,99,114}, {1,4,6,7,8,13,14,17,27,29,30,31,38,41,43,44,46,47,49,50,53,62,64,68,73,77,78,81,83,84,85,87,88,102,106,112}
1: {9,10,12,13,14,16,18,19,20,24,27,29,32,34,37,42,44,47,48,52,57,63,64,65,66,68,72,75,76,77,81,87,91,92,93,95,96,99,101,102,104,105,107,108,110,111,113}, {4,22,23,33,36,41,53,56,69,70,71,73,80,83,112,114}, {25,28,31,43,45,55,59,60,82,90,94}
1: {9,10,13,28,33,41,44,48,55,103,104,112}, {12,14,15,18,35,53,56,71,83}, {5,8,11,17,31,38,68,72,82,94,95,97}
1: {9,10,17,18,19,21,26,28,29,36,40,48,50,52,55,59,63,68,71,76,80,87,91,95,104,108,109,113}, {4,7,24,31,69,70,75,77,79,81,82,84,100,105}, {67,94}
1: {9,10,17,18,21,30,33,34,36,45,46,55,62,64,66,74,83,109}, {7,24,26,29,41,42,47,48,56,63,70,75,87,89,101,103,106}, {53,54,69,72,86,95,98,102,105}
1: {9,11,14,16,17,18,21,27,29,35,36,37,48,53,54,55,60,63,74,76,77,80,91,97,98,103,104,105,107,108}, {3,4,7,10,13,24,25,31,38,43,44,46,56,58,65,69,70,71,75,78,83,85,94,102,109,111,112,114}, {2,5,6,12,15,20,22,45,47,50,52,64,67,79,86,87,89,92,93,95,100}
1: {9,11,16,21,22,28,35,36,37,47,48,52,54,56,63,69,76,87,92,95,104,106,108}, {4,5,6,8,10,12,26,31,38,41,45,62,65,70,71,99,111,112}, {13,43,73}
1: {9,11,21,27,65,68,81,85,91,98,104,106,107,108,110,113}, {3,7,10,12,22,24,31,39,56,67,77,78,99,103,109,111,112}, {13,14,20,25,57,62,72,94,96,100,101,102,114}
1: {9,12,16,17,18,27,35,37,52,64,65,67,91,97,110,111}, {10,14,29,30,32,38,42,51,58,66,92,99,106}, {6,24,47,57,63,68,80,82,86,87,89,93,94,98,103}
1: {9,13}, {3,11}, {}
1: {9,13,25,31,37,39,41,43,44,45,52,59,61,65,67,68,75,81,82,93,104,108,109,111,112}, {2,4,5,6,12,14,15,17,19,20,21,22,23,26,27,28,30,32,34,38,40,42,48,49,51,53,56,60,62,70,71,72,73,76,80,83,85,89,91,92,97,99,102,105,106,114}, {1,3,7,8,10,11,16,18,24,29,33,35,36,46,47,50,54,55,57,58,63,64,66,69,74,77,78,79,84,86,87,88,90,94,95,96,98,100,101,103,107,110,113}
1: {9,13,36,43,52,57,64,72}, {15,42,69,89}, {11,20,40,46,68,78,88,96,105,108}
1: {9,14,16,28,32,34,62,89,91}, {13,39,40,46,79,100,110}, {8,29,42,51,63,66,101}
1: {9,14,19,22,23,29,34,35,36,37,40,47,48,63,76,80,98,104}, {3,4,6,10,15,24,25,26,44,49,57}, {7,20,28,32,38,46,54,62,99}
1: {9,14,26,33,35,37,53,93,100,108,109}, {10,31,32,48,68,82,112,114}, {21,34,57,67,103,107,110}
1: {9,14,32,37,38,50,76,80,81,84,109,110}, {11,13,39,56,69,77,78,79,82}, 104
1: {9,15,16,17,18,49,50}, 44, {2,6,10,28,29,36,40,47}
1: {9,15,16,18,20,21,22}, {3,10}, {}
1: {9,15,19,34,35,38,66,71,72,76,80,90}, {10,37,39,40,67,75,77}, {2,5,41,68,69,70,73,74,89}
1: {9,15,26,32,36,37,97,98,107}, {3,24,41,42,58,101,105}, {48,57,72,82,102}
1: {9,16,19,35,38,60,76,91}, 55, {47,83}
1: {9,17,19,21,32,36,51,53,68,79,98,100,102,106,109,114}, {13,24,33,39,42,46,55,58,77,78,101,111}, {74,82,110}
1: {9,17,19,33,52,55,59,83,88,101}, {3,4,5,44,56,70,85}, 62
1: {9,17,23,59,61,62,63,64,65,66,68,69}, {12,67,70}, {5,60,73,74}
1: {9,18,19,27,34,37,49,53,54,57,58,61,72,74,77,93,100,111}, {5,12,20,26,30,32,41,44,51,60,64,70,81,82,84,89,92}, {13,28,31,40,98,112,113}
1: {9,18,19,53,83,94,100}, {43,78}, {86,93,108}
1: {9,19,27,47,62,81}, {}, {82,92,101,102}
1: {9,19,105,110}, {3,39,48}, 55
1: {9,20,27,35,51,61,63,82}, {25,40,99,105}, {1,46,95}
1: {9,21}, {1,10,15,23,26}, {20,22,24}
1: {9,26,49}, 68, {}
1: {9,26,72,104,109}, 12, {55,81}
1: {9,28,29,30,32,33,34,61,76,77,96,109}, {97,108,110,112}, {7,10,60,84,107}
1: {9,28,76,104}, {7,10,29,75}, {79,93,103}
1: {9,34,63,65}, 64, {}
1: {9,52,59,104}, {2,39,58,79,85,107}, {64,95}
1: {9,55}, {31,39,94,99}, {11,30,40,46,110}
1: {9,63,67,76,78,83,84,85,86}, {15,87}, {}
1: {10,11,17,18,19,24,29,34,35,36,37,40,43,45,47,48,49,50,51,52,55,59,60,61,68,69,73,75,76,77,78,91,93,95,99,100,102,104,105,107,108,109,110,111,112,113,114}, {1,2,4,5,6,7,8,9,12,13,14,15,16,22,23,25,26,27,30,32,33,38,39,41,42,46,53,56,62,63,64,66,67,71,72,79,80,81,82,83,87,92,96,97,98,103}, {3,20,21,28,31,44,54,57,58,65,70,74,84,85,86,88,89,90,94,101,106}
1: {10,12,36,46,47,52,55,56,69,70,108,113}, {}, {}
1: {10,13,53}, 39, {}
1: {10,19,35,62,63,90,105,109,112}, 4, {77,89}
1: {10,24,29,43,45,46,50,52,57,64,67,91,93,94,95,101,104}, {7,8,12,14,17,23,27,32,38,48,53,58,65,80,81,84,89,97,100,113,114}, {6,16,18,20,21,25,47,59,62,66,68,76,90}
1: {10,30,50,53}, {}, 56
1: {10,31,34,59,65,77}, {2,33,38,88,102}, {9,18,21,26,43,58,71,83,110}
1: {10,36,47,59,108}, 70, {19,32,71,77}
1: {10,44,97}, 13, {}
1: {11,12,28,36,58,62,76,96}, 25, {82,108}
1: {11,13,37,39,42,45,91,113}, {15,83,106}, 73
1: {11,14,15,18,19,28,29,30,34,48,59,61,64,66,68,91,92,96,107,109}, {3,12,31,43,44,45,63,65,69,70,71,72,74,93,94,108,110,111,112}, {52,67,73}
1: {11,15,17,23,28,30,53,60,66,77,87,107,108,110,111,112}, {4,56,100,105}, {9,32,52,69,80,98,106}
1: {11,16,17,18,19,36,63,71,91,108}, 42, 82
1: {11,16,18,25,40,46,51,57,61,67,75,78,81,88,91,98,108,111,114}, {2,4,6,7,8,32,43,53,66,71,76,82,85,86,89,109}, {}
1: {11,16,22,24,38,42,47,87}, 3, 19
1: {11,18,20,27,28,30,32,36}, 10, {12,29,33,37,39}
1: {11,18,38,68,108,111}, {27,31,64,67,75,92}, 10
1: {11,34,37,46,50,63,68,98}, {12,62}, {72,73,82,88}
1: {11,36,38}, {7,10,13,31,46,49,67}, {16,17,18,40,41,47,48,59}
1: {11,38,39}, {3,25,52}, {}
1: {11,53,60,77}, {4,101}, {}
1: {11,58,65,91,107}, {13,41,43}, {}
1: 12, {}, {1,2,43,99}
1: {12,17,64,81,106}, {}, {}
1: {12,18,19,28,38,61,70,73,79,97,106,114}, {10,15,31,40,48,67}, {}
1: {12,22,42,87,99}, 56, {10,26,33,60,102}
1: {12,34,68,76,89,95,100,107,109}, {39,54,57}, {2,6,93}
1: {12,42,50,53,59,74,86,102}, 4, {45,93,106}
1: {12,54,74}, {7,62}, 101
1: {12,68,82}, {}, 73
1: {13,14,19,21,22,23,27,30,34,35,36,38,47,53,59,63,66,68,71,76,81,88,101,103,112}, {1,3,4,8,10,12,24,33,39,40,46,50,55,61,64,65,75,78,79,82,83,84,85,114}, {2,5,6,7,9,11,15,16,17,18,20,25,26,28,29,31,32,37,41,42,43,44,45,48,49,51,52,54,56,57,58,60,62,67,69,70,72,73,74,77,80,86,87,89,90,91,92,93,94,95,96,97,98,99,100,102,104,105,106,107,108,109,110,111,113}
1: {13,18,21,22,35,36,49,59,65,72,74,89,102}, {4,33,34,39,40,57,62,71,100,114}, {54,64,68,85,95,105,108}
1: {13,27,67}, 85, 51
1: {13,28,47,51,79,89}, {2,46,78,95}, {29,57}
1: {13,35,49,53,106}, {4,63,64,70,110}, {21,74}
1: {13,44,112}, {70,101}, 114
1: {13,60}, {45,93}, {}
1: {14,15,16,24,38,73,80,97,108,113}, {51,94,100}, {13,47,69,92}
1: {14,16,19,21,30,47,51,52,61,81,86,88,90,92}, {7,10,79,95}, {}
1: {14,16,37,67,79,89,112}, {13,20,28,46,58,62,69,70,78,101,106,114}, {17,27,33,39,45,71,74,75,82,88,90,91,93,99,102,107}
1: {14,16,52,90,97,99}, {23,33,41,51}, {26,45}
1: {14,17,18,21,22,53,63}, {7,37,39,97,106}, {}
1: {14,17,23,28,32,36,37,38,65,90,91,95,100}, {7,12,25,39,43,44,55,56,66,77,80,85,92,107,111}, {27,62,68,81,112}
1: {14,18,19,25,27,28,29,31,35,37,40,41,42,51,52,53,55,57,58,59,60,64,69,73,77,78,81,82,91,92,93,95,98,105,106,108,109,110,111,112,113,114}, {2,15,22,30,32,33,65,71,76,83,87,89,97}, {8,16,21,24,39,54,63,72,74,103,107}
1: {14,20,22,65,98,102,107,108,109,110,111}, 12, {}
1: {14,23,26,27,28,30,32,36,63,76,88,90,103}, {4,11,18,33,42,54,55,56,58,67,70,96}, {6,66,82,95}
1: {14,28,29,30,32,33,34}, {10,31}, {3,7}
1: {14,30,36,43,69,74,83,111}, {34,95,100,108}, {13,25,28,32,53,64,87}
1: {14,32,33,36,51,52,58,71,72,76,79,86,89,96,97,106,108,109,110,112,113}, {3,4,9,25,30,48,54,65,70,80,83,84,85,100}, {29,37,40,56,63,66,67,87,92,93,94,105}
1: {14,32,67,80,114}, {3,49,69}, {18,57,59,76,86,104}
1: {14,37,81,94,109}, {6,36,38,39,61,69,70}, {11,21,86,97}
1: {14,107,108}, {}, 31
1: {15,16,21,34,36,40,56,75,86,97,105,110,111,114}, {5,13,20,24,30,42,44,51,52,55,58,67,95,104}, {85,87}
1: {15,17,23,30,33,60,74,76,84,88,91,108}, {10,37,39,40,42,71,92}, {6,12,13,24,41,80,83,87,101,102}
1: {15,19,23,68}, 101, {51,56,108}
1: {15,20,53,60,102}, {13,43,67,94}, {4,7,58}
1: {15,22,29,50,56,65,68,72,74,106}, 57, 66
1: {15,34,39,68}, 46, {72,90}
1: {15,47,61,70,80,104}, {12,60,62,110}, {56,109}
1: {15,67,68}, 63, {11,69}
1: {15,78}, {60,68,91}, {}
1: {15,107}, 39, {}
1: 16, {54,55,112}, {}
1: {16,17,19,27,29,31,34,35,36,37,38,39,47,48,50,51,52,53,54,55,56,59,60,61,63,67,68,69,72,74,77,79,87,94,95,96,98,100,101,102,103,106,107,108,113}, {1,4,5,7,8,10,11,12,14,15,20,21,22,23,25,26,32,40,42,43,44,45,58,62,65,70,71,73,80,81,82,83,84,85,89,92,99,104,105,110,111,114}, {2,3,6,9,13,18,24,28,30,33,41,46,49,57,64,66,75,76,78,86,88,90,91,93,97,109,112}
1: {16,22,35,36,37,39,41,47,51,53,61,62,63,65,68,70,71,76,81,83,84,85,87,88,89,90,91,92,96,97,102,103,107,111,113}, {3,38,40,42,43,44,48,49,50,55,56,57,58,60,67,73,75,78,79,105,112,114}, {45,46,52,54,59,64,66,69,72,74,77,80,82,86,93,94,95,98,99,100,101,104,106,108,109,110}
1: {16,30,62}, {2,22,36,57}, {}
1: {16,35,36,47,61,75,77}, 78, {41,43,50,62}
1: {16,44,50,55,61,86}, {56,70,94}, {82,107,112}
1: {16,62}, {43,79}, {}
1: {17,18,20,23,34,38,41,52,58,60,63,65,68,72,80,87,90,91,94,96,103,111}, {4,12,37,43,46,50,64,104,107}, {11,24,28,29,32,42,51,56,62,100}
1: {17,18,21,28,36,37,53}, {31,38,39,40,42,70}, 30
1: {17,18,23,27,36,38,61,69,71,83,84,85,87,90,107,108,109,110,113,114}, {3,24,25,26,51,57,86,105,111,112}, {31,44,82}
1: {17,18,27,34,35,37,45,47,50,52,54,55,58,59,63,69,75,77,79,91,95,96,98,103,105,107,109,111,112,113}, {5,7,15,22,23,29,30,31,41,42,62,65,76,80,81,86,92,97,100,101}, {12,14,20,21,28,32,33,38,46,49,64,66,78,82,93,94,99,102,104,106,108,110,114}
1: {17,18,35,47,65}, {1,63,67,68}, {}
1: {17,21,23,29,38,40,54,57,59,83,89,91,94,98,107,113}, {7,11,25,49,62,64,66,75,79,82,86}, {58,71,85,93,105,106,108}
1: {17,21,27,82,97,100}, {18,41}, {}
1: {17,22,42,66,73,77}, {}, {}
1: {17,29,55,61,63,66,67,68,78,81,82,89,90,92,93,95,96,101,104,107,108,113}, {2,16,24,26,56,57,64,70,74,80,85,86,99,100,105}, {1,19,20,34,36,51,58,71,72,73,76,87,88,97,103,106,110}
1: {17,36,52,68}, 3, 62
1: {17,48,52,57,78,99,108}, {33,77,89}, {10,13}
1: {17,55,82}, 7, {}
1: {18,19,20,27,33,36,50,63,68,74,75,76,79,81,83,84,90,91,94,95,100,105,113}, {4,5,29,31,56,57,60,61,69,71,85,89,97,101,109}, {24,45,64,72,82,86,87,88,93,114}
1: {18,20,22,63}, {4,45,60}, {37,58,111}
1: {18,22,27,32,55,58,91,94,109}, {}, {}
1: {18,26,35,36,41,59,60,61,65,72,80,88,91,107}, {45,46,48}, {5,58,73,99,102,106}
1: {18,27,53,55}, {2,4,13,22,30,33,49}, {}
1: {18,35,36,66,67,68,71,81,91,95,104,107}, {22,38,42,45,55,64,73}, {1,5,7,21,74,97,106,114}
1: {18,37,59,91,95,96,108,113}, {15,25,39,45,51,67,86,105,111}, {7,73,74}
1: {18,45,55,60,74,100}, {1,8,17,23,70,104}, {}
1: {18,47,90,95,96,100}, {3,7,24,49,56,85,92,101,105,106}, {41,48,50,62,71,83,86,110}
1: {18,58,99}, 49, {}
1: {18,65}, 15, {}
1: {19,21}, {2,3,7,24,25}, {5,17,18}
1: {19,22,29,82}, {33,40,56,57,64}, {4,5,39,60,72}
1: {19,23,26,76,86}, {11,15,25,31,45,46,73,75,111}, 106
1: {19,23,47,59,60,61,86,107,109}, {10,13,37,43,46,57,67,82,93,94,105,108,111}, 102
1: {19,26,32,52,54,59,62,65,66,68,76,89,90,101,104}, {11,37,42,56,70,71}, {20,51,57,58,64,82,93,97,105,107,109}
1: {19,29,54,75,112}, {1,12,33,85}, {32,38}
1: {19,30,41,58,59,66,90}, {39,48,52,64,67,77,114}, 108
1: {19,37,39,52,111,113}, {24,32,42,81,89,97}, {13,35,55,71}
1: {19,41}, {}, {40,68}
1: {19,55,60,63,71,86,98}, {11,70,74,92}, 82
1: {19,70}, {3,13}, 47
1: {19,79,91,95}, {41,42}, {}
1: {19,84,91,96,98}, 78, {58,82}
1: {19,87}, 39, {1,4,14,45,52,61,64,90,108}
1: {20,23,44,53,76,79,87,89,109,110}, {2,10}, {}
1: {20,32,58,102}, {}, {}
1: {20,34,54,68,90,94}, {41,57,65,67,86,106,114}, 89
1: {20,36}, 56, {}
1: 21, 101, {96,104}
1: {21,22,23}, 70, {}
1: {21,22,23,24,47}, {4,13,30,31,42,49}, {}
1: {21,28,46,52,55,63,83,88,98,102,108,109,110,112,114}, {7,62,64,69,73,76,86,87,89,90,96,107,111}, {}
1: {21,31,35,57,94}, {5,42,44,62,66,114}, {}
1: {21,32,36,76}, 52, {}
1: {21,47,53,59,76,79,94,96,113}, {55,57,67,70}, {14,19,40,95,108}
1: {21,48,65}, {}, 4
1: {21,53,90,95,106}, {10,14,52,57,73}, {}
1: {21,55}, {44,49}, 85
1: {21,61}, {}, {68,102}
1: {21,76,85,88}, {64,67}, {47,60,107,109,110}
1: {22,30,33,34,36,40,54,63,74,106,108}, {67,81,97,99}, {53,82,101}
1: {22,33,47,55,66}, {2,7,38,46,57,99}, {40,48,50,91}
1: {22,35,65}, {2,4,31,48,58,75}, {59,95}
1: {22,41,52,98}, {11,70}, {}
1: {22,42,67,69,102,107,113}, {}, 8
1: {22,66,93}, 26, {20,51}
1: {23,27,30,41,53,55,59,61,81}, {1,56,68,71,106}, {25,44,104,110}
1: {23,35,36,83}, {24,81}, 13
1: {23,36}, {41,81}, {47,60}
1: {23,37,77,80,108}, {10,33,34,55,89,92}, {}
1: {23,68,89,90}, {}, {51,74,101}
1: {24,25,37,61,66,71,97,108,110}, {27,54,55,81}, {62,75,105}
1: {24,26,76,106}, {32,57,69}, 14
1: {24,47,89,111}, {10,25}, 27
1: 25, {10,46,55}, 40
1: {25,30,34,95,100,111}, {7,24,31,33,42,44,46,47,75,90,104}, {10,58,64,74,97}
1: {25,33,56,61,62,65,76,80,82,88,98,110}, {40,46,51,54,99,101,111}, {6,16,43,68,72,83,84,87,93,95,106}
1: {25,43}, {7,26,52}, {}
1: {25,53,81}, {7,43,108,111,112}, {}
1: 26, 53, 43
1: {26,55,75,95}, {}, 48
1: {26,88,96}, {1,37,46,68}, {7,34,49,83,85}
1: 27, {43,52,65,73,82}, {}
1: {27,28}, 51, {64,86,104}
1: {27,34,68,110,111}, {7,21,69,86}, {}
1: {27,38,63,91}, {13,26,57,58}, {2,6,16,18,22,37,43,45,54,55,59,62,65,74,80,86,87,90,93,108}
1: {28,38,51,52,85}, {2,20,25,39,42,44,49}, {13,33}
1: {28,52,56,66,80,88,94}, {57,69}, {60,92,103}
1: {28,104}, {}, 15
1: 29, {39,77}, {11,35,50}
1: 29, 111, {56,94}
1: {29,38}, {31,42,45,55,79}, {}
1: {29,45,46,51,52,70,89,109,113}, 114, {}
1: {29,76,113}, 59, {}
1: {29,79}, {}, 58
1: {29,113}, 4, {7,42,53}
1: {30,38,41,55,60,62,66,72,88,103,111}, {24,42,112}, {6,109,110}
1: {31,36,48,67,68,74,79,91,100}, {2,14,15,19,22,26,28,32,39,53,62,72,73,76,82,88,97,106,107}, {7,13,50,99}
1: {31,41,98}, {45,92}, 79
1: {32,34,60,66,76,81,83,92,113}, {13,37,46,52,56,58,59,77,98,105,109,111,112,114}, {11,12,97,106,110}
1: {32,48,54,59,74,96,104,113}, {14,46,52,60,62,80,81,102}, {29,94,101,114}
1: {32,61,87}, {7,50,66}, 72
1: {33,36,52,71,113}, {}, 37
1: {34,35,38,47}, {}, 48
1: {34,41,60,71,77,108,112,113}, {12,13,24,31,39,40,44,58,72,92}, {26,43,97,109,114}
1: {34,45,46,47,49,50,53,55,74,90,95,98,100,108}, {4,42,44,58,63,66,68,101}, {20,23,33,41,51,82,84,99,105}
1: {34,54}, {3,10,43,46,48,49}, {4,37}
1: {34,59,61,77,85,103,106,108}, 58, {7,64}
1: {35,36}, {3,24,38}, 2
1: {35,37,68,109}, {33,55}, {}
1: {35,37,84,102,108,112}, {}, {}
1: {35,61,63}, 66, 3
1: 36, 30, {46,55}
1: {36,71,86}, 67, {14,85}
1: {36,74,104,105}, {24,51,64,69,78,83}, {}
1: {37,40,49,57,108}, {25,38,70,87}, 28
1: 38, {31,44,56}, 10
1: {38,47,61,114}, {15,17,22,24,67,72,112}, {9,62,87}
1: {38,49,63,86,100}, {7,70,85}, {35,66,97,103,114}
1: {38,50,109}, 111, {}
1: {38,52,108}, 48, {33,114}
1: {38,53}, 10, 109
1: {38,107}, 70, 7
1: {39,60,73,90,92,98,104}, {7,112}, {9,25,100}
1: {40,65,83,91,108}, {49,60,77,85,101}, {41,45}
1: {40,101,114}, 65, {15,100}
1: {41,45,53,60,65,93}, {1,31,50,55,67,70,75,78,92,101,102,107}, {}
1: {41,55,60,61,68,72,80,93}, {6,44,98}, 107
1: {41,55,70,72,73,74,80,98}, 65, 90
1: {41,61,63,65,79,83,87}, {3,15,16,39,62}, {}
1: {41,80}, {55,101}, {}
1: {41,89,113}, {23,46,50,56,57,80}, {4,78,102}
1: {41,103}, {}, 13
1: {42,44,56,78,87,90,113}, {5,24,88,102}, 34
1: {43,62,103,104,110}, 111, 46
1: {44,60,68,76,87,98}, {51,114}, {8,9,93}
1: {47,51,65}, {12,48,53,61,70,81}, {11,15,26,27,32,43,60,66,74,91,99,101,104,109}
1: {48,75}, 58, {93,103,109}
1: {48,99,101,112}, {3,23,24,25,33}, {2,56,69,74,77,90,95}
1: 49, {2,41}, {77,98}
1: {51,62,63,65,75,80,81,83,84,86,89,91,94,96,98,106,110}, {55,56,69,70,73,78,100,105,109}, {38,57,72,87,95,111}
1: {52,61,64,67,91,103,107}, {2,8,14,20,22,32,38,62,69,70,71,72,83}, 13
1: {53,60,65,71,72,77,78,80,81,82,86,89,103,109}, {56,58,76,99,102}, {68,70,91,95,110}
1: 55, 49, {70,96}
1: {55,58,68,77}, {26,38,42,56,69,92}, {5,24,48,54,57,89}
1: {55,59,61,63,76,80,90,97,103}, {56,78,84,92,106,109}, {57,66,114}
1: {55,68,87}, {24,78,81,105,114}, {21,52,63,64,65,70,97,99}
1: {55,76,89,106}, {10,67}, {}
1: {56,57,68,75,110}, {69,71,101,105,114}, {60,64}
1: {56,61,78,89}, {12,46,55,70,71}, {82,99,100}
1: {56,63,76,108}, {12,109}, {55,111}
1: {57,72,74,77,93,100,107,108,109,114}, {64,66,70,73,98}, 58
1: {57,72,78,80,85,91,94,95,97,103,106,107}, {}, {}
1: {58,61,69,70,72,73,76,77,92,96,97,101}, {}, {}
1: {58,68,76,83,86,90,91,102}, {}, {}
1: {59,62,63,66}, {2,64}, {1,3,4,60,61,65}
1: {59,80}, 75, {62,77,81}
1: {59,90,107,112,113,114}, {5,92,97}, {23,44}
1: 61, {3,90}, 85
1: {61,77}, {24,111}, {}
1: {62,68,86,107}, {37,101,108}, {}
1: {62,80}, {24,45}, {30,111}
1: {62,96}, {57,64}, {}
1: {63,66,73,103}, {10,112}, {}
1: 65, {29,58,105}, {}
1: {65,113}, 23, 34
1: {66,77,80,92,96,104,107}, {56,85,99}, {72,109}
1: {67,81}, 87, {5,34,69,104}
1: {68,110}, {5,25,39,42,104}, 92
1: {71,91}, {30,33,45,112}, {10,20,64,74,94,106}
1: {74,81,85,86}, {46,80,112}, {25,82,110}
1: {74,88,97}, {3,101}, {}
1: 77, {}, {1,4,7,12,29,39,47,52,54,65,76,81,82,90,104,105}
1: {81,83,84,104,108}, {40,49,77,105,112,114}, 5
1: {88,110,111}, {72,80,87}, {24,62,66}
1: 90, {33,50,62,70}, {}
1: {91,97,113}, {66,78,114}, {}
1: 92, {}, {5,95,96}
1: {92,110}, 97, {}
1: {95,96,97,98}, {}, {7,24}
1: 96, {24,75}, 67
1: {98,102,108,110}, {}, {9,85}
1: {98,108}, {70,85}, {}
1: {104,113}, 99, 6
1: 106, {}, {4,10,33,107,110}
1: 108, 43, {7,74}
1: 114, {}, {19,68,80}