# FILE NAME: 00041-00000001.soc
# TITLE: Alltime
# DESCRIPTION: Complete preferences extracted from the soi file
# DATA TYPE: soc
# MODIFICATION TYPE: induced
# RELATES TO: 00041-00000001.soi
# RELATED FILES: 
# PUBLICATION DATE: 2022-09-25
# MODIFICATION DATE: 2022-09-25
# NUMBER ALTERNATIVES: 885
# NUMBER VOTERS: 130
# NUMBER UNIQUE ORDERS: 130
# ALTERNATIVE NAME 1: Constantinopolis
# ALTERNATIVE NAME 2: John Company
# ALTERNATIVE NAME 3: Shadows of Brimstone: Swamps of Death
# ALTERNATIVE NAME 4: Perikles
# ALTERNATIVE NAME 5: Kreta
# ALTERNATIVE NAME 6: Monikers
# ALTERNATIVE NAME 7: Hive
# ALTERNATIVE NAME 8: Spades
# ALTERNATIVE NAME 9: Expedition: Northwest Passage
# ALTERNATIVE NAME 10: Warmachine Prime Mk II
# ALTERNATIVE NAME 11: Space Empires: 4X
# ALTERNATIVE NAME 12: Perry Rhodan: The Cosmic League
# ALTERNATIVE NAME 13: Bärenpark
# ALTERNATIVE NAME 14: Great Western Trail
# ALTERNATIVE NAME 15: Barony
# ALTERNATIVE NAME 16: Summoner Wars
# ALTERNATIVE NAME 17: Dreamblade
# ALTERNATIVE NAME 18: Patchwork
# ALTERNATIVE NAME 19: Too Many Bones: Undertow
# ALTERNATIVE NAME 20: Catan Histories: Settlers of America  Trails to Rails
# ALTERNATIVE NAME 21: God's Playground
# ALTERNATIVE NAME 22: Cuba
# ALTERNATIVE NAME 23: Summoner Wars: Phoenix Elves vs Tundra Orcs
# ALTERNATIVE NAME 24: Dune
# ALTERNATIVE NAME 25: Compounded
# ALTERNATIVE NAME 26: Reef
# ALTERNATIVE NAME 27: Exit: The Game  The Polar Station
# ALTERNATIVE NAME 28: Theseus: The Dark Orbit
# ALTERNATIVE NAME 29: Greed
# ALTERNATIVE NAME 30: Poseidon
# ALTERNATIVE NAME 31: Zombicide Season 2: Prison Outbreak
# ALTERNATIVE NAME 32: FITS
# ALTERNATIVE NAME 33: The Castles of Burgundy
# ALTERNATIVE NAME 34: A Feast for Odin
# ALTERNATIVE NAME 35: Macao
# ALTERNATIVE NAME 36: The King Is Dead
# ALTERNATIVE NAME 37: YINSH
# ALTERNATIVE NAME 38: The Pillars of the Earth
# ALTERNATIVE NAME 39: Charterstone
# ALTERNATIVE NAME 40: Lords of Scotland
# ALTERNATIVE NAME 41: The Battle of Five Armies
# ALTERNATIVE NAME 42: Tash-Kalar: Arena of Legends
# ALTERNATIVE NAME 43: Ra
# ALTERNATIVE NAME 44: Capital Lux
# ALTERNATIVE NAME 45: Puzzle Strike
# ALTERNATIVE NAME 46: Specter Ops
# ALTERNATIVE NAME 47: Codenames: Pictures
# ALTERNATIVE NAME 48: Pirate's Cove
# ALTERNATIVE NAME 49: A Castle for All Seasons
# ALTERNATIVE NAME 50: Warhammer: Invasion
# ALTERNATIVE NAME 51: Glen More
# ALTERNATIVE NAME 52: Rise of Tribes
# ALTERNATIVE NAME 53: Imagine
# ALTERNATIVE NAME 54: Lords of Hellas
# ALTERNATIVE NAME 55: Sherlock Holmes Consulting Detective: The Thames Murders & Other Cases
# ALTERNATIVE NAME 56: Silverton
# ALTERNATIVE NAME 57: Paths of Glory
# ALTERNATIVE NAME 58: DOOM: The Board Game
# ALTERNATIVE NAME 59: Pixel Tactics 2
# ALTERNATIVE NAME 60: Holmes: Sherlock & Mycroft
# ALTERNATIVE NAME 61: Fire in the Lake
# ALTERNATIVE NAME 62: The Bottle Imp
# ALTERNATIVE NAME 63: Age of War
# ALTERNATIVE NAME 64: Mr. Jack
# ALTERNATIVE NAME 65: Hera and Zeus
# ALTERNATIVE NAME 66: Tortuga 1667
# ALTERNATIVE NAME 67: Village
# ALTERNATIVE NAME 68: Clash of Cultures
# ALTERNATIVE NAME 69: Advanced Squad Leader: Starter Kit #1
# ALTERNATIVE NAME 70: Treasure Hunter
# ALTERNATIVE NAME 71: First Class: All Aboard the Orient Express!
# ALTERNATIVE NAME 72: Revolver
# ALTERNATIVE NAME 73: City of Spies: Estoril 1942
# ALTERNATIVE NAME 74: Razzia!
# ALTERNATIVE NAME 75: Conquest of Planet Earth: The Space Alien Game
# ALTERNATIVE NAME 76: Leonardo da Vinci
# ALTERNATIVE NAME 77: The Resistance
# ALTERNATIVE NAME 78: Battle Line
# ALTERNATIVE NAME 79: Dungeon Lords
# ALTERNATIVE NAME 80: Castellion
# ALTERNATIVE NAME 81: Beyond Balderdash
# ALTERNATIVE NAME 82: Super Dungeon Explore
# ALTERNATIVE NAME 83: Thunderstone Advance: Towers of Ruin
# ALTERNATIVE NAME 84: Mysterium
# ALTERNATIVE NAME 85: Field Commander: Napoleon
# ALTERNATIVE NAME 86: Alea Iacta Est
# ALTERNATIVE NAME 87: Age of Steam
# ALTERNATIVE NAME 88: Pulsar 2849
# ALTERNATIVE NAME 89: At the Gates of Loyang
# ALTERNATIVE NAME 90: Canal Mania
# ALTERNATIVE NAME 91: Nexus Ops
# ALTERNATIVE NAME 92: BattleLore (Second Edition)
# ALTERNATIVE NAME 93: Spyfall
# ALTERNATIVE NAME 94: Android: Netrunner
# ALTERNATIVE NAME 95: Clank!: A Deck-Building Adventure
# ALTERNATIVE NAME 96: Isle of Skye: From Chieftain to King
# ALTERNATIVE NAME 97: Caverna: The Cave Farmers
# ALTERNATIVE NAME 98: Blockers!
# ALTERNATIVE NAME 99: Vegas Showdown
# ALTERNATIVE NAME 100: Fields of Arle
# ALTERNATIVE NAME 101: Summoner Wars: Alliances Master Set
# ALTERNATIVE NAME 102: Exit: The Game  The Abandoned Cabin
# ALTERNATIVE NAME 103: Caesar & Cleopatra
# ALTERNATIVE NAME 104: Vasco da Gama
# ALTERNATIVE NAME 105: Inca Empire
# ALTERNATIVE NAME 106: For Sale
# ALTERNATIVE NAME 107: The Lord of the Ice Garden
# ALTERNATIVE NAME 108: Insider
# ALTERNATIVE NAME 109: Dawn of the Zeds (Second edition)
# ALTERNATIVE NAME 110: Conquest of the Empire
# ALTERNATIVE NAME 111: Pandemic: The Cure
# ALTERNATIVE NAME 112: Heaven & Ale
# ALTERNATIVE NAME 113: Century: Golem Edition
# ALTERNATIVE NAME 114: Abyss
# ALTERNATIVE NAME 115: Burgle Bros.
# ALTERNATIVE NAME 116: Copycat
# ALTERNATIVE NAME 117: Eclipse
# ALTERNATIVE NAME 118: Nippon
# ALTERNATIVE NAME 119: Star Realms: Colony Wars
# ALTERNATIVE NAME 120: Gears of War: The Board Game
# ALTERNATIVE NAME 121: Smash Up: Cease and Desist
# ALTERNATIVE NAME 122: Archipelago
# ALTERNATIVE NAME 123: Dead of Winter: The Long Night
# ALTERNATIVE NAME 124: Onitama
# ALTERNATIVE NAME 125: Zombicide
# ALTERNATIVE NAME 126: Last Night on Earth: Timber Peak
# ALTERNATIVE NAME 127: Magic Maze
# ALTERNATIVE NAME 128: Star Wars: X-Wing Miniatures Game  The Force Awakens Core Set
# ALTERNATIVE NAME 129: Advanced Squad Leader
# ALTERNATIVE NAME 130: Tiny Epic Galaxies
# ALTERNATIVE NAME 131: Marvel Dice Masters: Age of Ultron
# ALTERNATIVE NAME 132: Super Motherload
# ALTERNATIVE NAME 133: Space Crusade
# ALTERNATIVE NAME 134: Carcassonne: Star Wars
# ALTERNATIVE NAME 135: Calimala
# ALTERNATIVE NAME 136: Sylla
# ALTERNATIVE NAME 137: The Lord of the Rings: The Card Game
# ALTERNATIVE NAME 138: Mission: Red Planet (Second Edition)
# ALTERNATIVE NAME 139: Felicity: The Cat in the Sack
# ALTERNATIVE NAME 140: Star Wars: Imperial Assault
# ALTERNATIVE NAME 141: Santa Maria
# ALTERNATIVE NAME 142: Arkham Horror: The Card Game
# ALTERNATIVE NAME 143: Paris Connection
# ALTERNATIVE NAME 144: Freedom: The Underground Railroad
# ALTERNATIVE NAME 145: The Grizzled
# ALTERNATIVE NAME 146: Exit: The Game  Dead Man on the Orient Express
# ALTERNATIVE NAME 147: The Napoleonic Wars (Second Edition)
# ALTERNATIVE NAME 148: Confusion:  Espionage and Deception in the Cold War
# ALTERNATIVE NAME 149: Ta Yü
# ALTERNATIVE NAME 150: Trickerion: Legends of Illusion
# ALTERNATIVE NAME 151: K2
# ALTERNATIVE NAME 152: Cthulhu Wars
# ALTERNATIVE NAME 153: Qin
# ALTERNATIVE NAME 154: Unearth
# ALTERNATIVE NAME 155: Ticket to Ride: Europe
# ALTERNATIVE NAME 156: Terraforming Mars
# ALTERNATIVE NAME 157: Claustrophobia
# ALTERNATIVE NAME 158: Shogi
# ALTERNATIVE NAME 159: City of Horror
# ALTERNATIVE NAME 160: R-Eco
# ALTERNATIVE NAME 161: Catan
# ALTERNATIVE NAME 162: Arcadia Quest: Inferno
# ALTERNATIVE NAME 163: Circus Flohcati
# ALTERNATIVE NAME 164: Near and Far
# ALTERNATIVE NAME 165: Above and Below
# ALTERNATIVE NAME 166: Assyria
# ALTERNATIVE NAME 167: Five Tribes
# ALTERNATIVE NAME 168: Welcome To...
# ALTERNATIVE NAME 169: Age of Conan: The Strategy Board Game
# ALTERNATIVE NAME 170: SET
# ALTERNATIVE NAME 171: Lovecraft Letter
# ALTERNATIVE NAME 172: Scotland Yard
# ALTERNATIVE NAME 173: Snake Oil
# ALTERNATIVE NAME 174: Alhambra
# ALTERNATIVE NAME 175: King of New York
# ALTERNATIVE NAME 176: Wildlife Safari
# ALTERNATIVE NAME 177: Mage Wars Academy
# ALTERNATIVE NAME 178: VivaJava: The Coffee Game: The Dice Game
# ALTERNATIVE NAME 179: Strat-O-Matic Baseball
# ALTERNATIVE NAME 180: Firefly: The Game
# ALTERNATIVE NAME 181: New Bedford
# ALTERNATIVE NAME 182: Pantheon
# ALTERNATIVE NAME 183: Space Alert
# ALTERNATIVE NAME 184: Tribune: Primus Inter Pares
# ALTERNATIVE NAME 185: Carrom
# ALTERNATIVE NAME 186: Cat Lady
# ALTERNATIVE NAME 187: Container: 10th Anniversary Jumbo Edition!
# ALTERNATIVE NAME 188: Arkham Horror
# ALTERNATIVE NAME 189: Pandemic: Reign of Cthulhu
# ALTERNATIVE NAME 190: Kingsport Festival
# ALTERNATIVE NAME 191: Go
# ALTERNATIVE NAME 192: Ra: The Dice Game
# ALTERNATIVE NAME 193: Star Wars: X-Wing Miniatures Game
# ALTERNATIVE NAME 194: Nauticus
# ALTERNATIVE NAME 195: Oregon
# ALTERNATIVE NAME 196: Defenders of the Realm
# ALTERNATIVE NAME 197: The Downfall of Pompeii
# ALTERNATIVE NAME 198: Puzzle Strike Shadows
# ALTERNATIVE NAME 199: Shogun
# ALTERNATIVE NAME 200: Samarkand: Routes to Riches
# ALTERNATIVE NAME 201: Quoridor
# ALTERNATIVE NAME 202: Brass: Birmingham
# ALTERNATIVE NAME 203: Dungeon Twister 2: Prison
# ALTERNATIVE NAME 204: Palm Island
# ALTERNATIVE NAME 205: In the Year of the Dragon
# ALTERNATIVE NAME 206: Bonaparte at Marengo
# ALTERNATIVE NAME 207: King's Forge
# ALTERNATIVE NAME 208: Forbidden Desert
# ALTERNATIVE NAME 209: Ethnos
# ALTERNATIVE NAME 210: The Adventurers: The Pyramid of Horus
# ALTERNATIVE NAME 211: Yedo
# ALTERNATIVE NAME 212: Struggle of Empires
# ALTERNATIVE NAME 213: Boomtown
# ALTERNATIVE NAME 214: Tikal
# ALTERNATIVE NAME 215: Niagara
# ALTERNATIVE NAME 216: Descent: Journeys in the Dark
# ALTERNATIVE NAME 217: The 7th Continent
# ALTERNATIVE NAME 218: Safranito
# ALTERNATIVE NAME 219: Wealth of Nations
# ALTERNATIVE NAME 220: Samurai Sword
# ALTERNATIVE NAME 221: Police Precinct
# ALTERNATIVE NAME 222: Automobile
# ALTERNATIVE NAME 223: Hero Realms
# ALTERNATIVE NAME 224: Breakout: Normandy
# ALTERNATIVE NAME 225: Steel Driver
# ALTERNATIVE NAME 226: San Juan
# ALTERNATIVE NAME 227: Star Trek Panic
# ALTERNATIVE NAME 228: Deus
# ALTERNATIVE NAME 229: Basari
# ALTERNATIVE NAME 230: Mythos Tales
# ALTERNATIVE NAME 231: Blood Bowl: Living Rulebook
# ALTERNATIVE NAME 232: Coup
# ALTERNATIVE NAME 233: Wits & Wagers Party
# ALTERNATIVE NAME 234: Cold War: CIA vs KGB
# ALTERNATIVE NAME 235: Whitehall Mystery
# ALTERNATIVE NAME 236: 20th Century
# ALTERNATIVE NAME 237: Tichu
# ALTERNATIVE NAME 238: Il Vecchio
# ALTERNATIVE NAME 239: Indigo
# ALTERNATIVE NAME 240: Duplik
# ALTERNATIVE NAME 241: Long Shot
# ALTERNATIVE NAME 242: Race! Formula 90
# ALTERNATIVE NAME 243: Edel
# ALTERNATIVE NAME 244: La Cosa Nostra
# ALTERNATIVE NAME 245: Labyrinth
# ALTERNATIVE NAME 246: The Great Dalmuti
# ALTERNATIVE NAME 247: Alchemists
# ALTERNATIVE NAME 248: Verräter
# ALTERNATIVE NAME 249: Too Many Bones
# ALTERNATIVE NAME 250: Funkenschlag
# ALTERNATIVE NAME 251: Vikings
# ALTERNATIVE NAME 252: Las Vegas
# ALTERNATIVE NAME 253: Rise to Nobility
# ALTERNATIVE NAME 254: Cutthroat Caverns
# ALTERNATIVE NAME 255: Endeavor
# ALTERNATIVE NAME 256: Pueblo
# ALTERNATIVE NAME 257: 1846: The Race for the Midwest
# ALTERNATIVE NAME 258: Vinhos
# ALTERNATIVE NAME 259: Gulo Gulo
# ALTERNATIVE NAME 260: Lotus
# ALTERNATIVE NAME 261: Horse Fever
# ALTERNATIVE NAME 262: The Quest for El Dorado
# ALTERNATIVE NAME 263: Space Cadets
# ALTERNATIVE NAME 264: Istanbul
# ALTERNATIVE NAME 265: Quantum
# ALTERNATIVE NAME 266: Airlines Europe
# ALTERNATIVE NAME 267: New York Slice
# ALTERNATIVE NAME 268: Camel Up
# ALTERNATIVE NAME 269: Magnum Sal
# ALTERNATIVE NAME 270: Acquire
# ALTERNATIVE NAME 271: The Red Dragon Inn 3
# ALTERNATIVE NAME 272: 1889: History of Shikoku Railways
# ALTERNATIVE NAME 273: Hoity Toity
# ALTERNATIVE NAME 274: AquaSphere
# ALTERNATIVE NAME 275: Runebound (Third Edition)
# ALTERNATIVE NAME 276: King of Tokyo
# ALTERNATIVE NAME 277: Tokaido
# ALTERNATIVE NAME 278: Hermagor
# ALTERNATIVE NAME 279: Backgammon
# ALTERNATIVE NAME 280: Clans of Caledonia
# ALTERNATIVE NAME 281: Project: ELITE
# ALTERNATIVE NAME 282: Scythe
# ALTERNATIVE NAME 283: Galaxy Trucker
# ALTERNATIVE NAME 284: Fireteam Zero
# ALTERNATIVE NAME 285: Quests of Valeria
# ALTERNATIVE NAME 286: Magic: The Gathering
# ALTERNATIVE NAME 287: Space Hulk
# ALTERNATIVE NAME 288: Android: Infiltration
# ALTERNATIVE NAME 289: Thebes
# ALTERNATIVE NAME 290: Colosseum
# ALTERNATIVE NAME 291: Vinhos Deluxe Edition
# ALTERNATIVE NAME 292: Trajan
# ALTERNATIVE NAME 293: ZhanGuo
# ALTERNATIVE NAME 294: Forbidden Stars
# ALTERNATIVE NAME 295: Escape from Colditz
# ALTERNATIVE NAME 296: Orléans
# ALTERNATIVE NAME 297: Shipyard
# ALTERNATIVE NAME 298: Concordia
# ALTERNATIVE NAME 299: Commands & Colors: Ancients
# ALTERNATIVE NAME 300: Empires in Arms
# ALTERNATIVE NAME 301: Takenoko
# ALTERNATIVE NAME 302: Helvetia
# ALTERNATIVE NAME 303: Panamax
# ALTERNATIVE NAME 304: Harbour
# ALTERNATIVE NAME 305: Kemet
# ALTERNATIVE NAME 306: Stockpile
# ALTERNATIVE NAME 307: Dungeons & Dragons: The Legend of Drizzt Board Game
# ALTERNATIVE NAME 308: Sails of Glory
# ALTERNATIVE NAME 309: Sentinels of the Multiverse
# ALTERNATIVE NAME 310: Prêt-à-Porter
# ALTERNATIVE NAME 311: Lisboa
# ALTERNATIVE NAME 312: Impulse
# ALTERNATIVE NAME 313: Pathfinder Adventure Card Game: Wrath of the Righteous  Base Set
# ALTERNATIVE NAME 314: Colt Express
# ALTERNATIVE NAME 315: Riff Raff
# ALTERNATIVE NAME 316: Android
# ALTERNATIVE NAME 317: StarCraft: The Board Game
# ALTERNATIVE NAME 318: Crokinole
# ALTERNATIVE NAME 319: Villa Paletti
# ALTERNATIVE NAME 320: Artifacts
# ALTERNATIVE NAME 321: New Amsterdam
# ALTERNATIVE NAME 322: Photosynthesis
# ALTERNATIVE NAME 323: Azul
# ALTERNATIVE NAME 324: Frank's Zoo
# ALTERNATIVE NAME 325: Hannibal: Rome vs. Carthage
# ALTERNATIVE NAME 326: Riverboat
# ALTERNATIVE NAME 327: Revolution!
# ALTERNATIVE NAME 328: Amun-Re
# ALTERNATIVE NAME 329: Guillotine
# ALTERNATIVE NAME 330: Coal Baron
# ALTERNATIVE NAME 331: Panic on Wall Street!
# ALTERNATIVE NAME 332: Citadels
# ALTERNATIVE NAME 333: Eminent Domain
# ALTERNATIVE NAME 334: Railways of the World
# ALTERNATIVE NAME 335: Virgin Queen
# ALTERNATIVE NAME 336: Agricola
# ALTERNATIVE NAME 337: Shadowrift
# ALTERNATIVE NAME 338: Carcassonne: Hunters and Gatherers
# ALTERNATIVE NAME 339: Bruges
# ALTERNATIVE NAME 340: Elasund: The First City
# ALTERNATIVE NAME 341: Ascension: Darkness Unleashed
# ALTERNATIVE NAME 342: Between Two Cities
# ALTERNATIVE NAME 343: Ribbit
# ALTERNATIVE NAME 344: Dixit: Odyssey
# ALTERNATIVE NAME 345: Empires: Age of Discovery
# ALTERNATIVE NAME 346: World Without End
# ALTERNATIVE NAME 347: Neuroshima Hex! 3.0
# ALTERNATIVE NAME 348: Werewolf
# ALTERNATIVE NAME 349: Jamaica
# ALTERNATIVE NAME 350: Thunderstone Advance: Numenera
# ALTERNATIVE NAME 351: Campaign Manager 2008
# ALTERNATIVE NAME 352: Nefertiti
# ALTERNATIVE NAME 353: Deception: Murder in Hong Kong
# ALTERNATIVE NAME 354: Empires of the Void II
# ALTERNATIVE NAME 355: Harry Potter: Hogwarts Battle
# ALTERNATIVE NAME 356: Dungeons & Dragons: Conquest of Nerath Board Game
# ALTERNATIVE NAME 357: El Gaucho
# ALTERNATIVE NAME 358: Ascension: Rise of Vigil
# ALTERNATIVE NAME 359: Mythic Battles: Pantheon
# ALTERNATIVE NAME 360: Historia
# ALTERNATIVE NAME 361: The Adventurers: The Temple of Chac
# ALTERNATIVE NAME 362: Keyper
# ALTERNATIVE NAME 363: Nuns on the Run
# ALTERNATIVE NAME 364: Tinners' Trail
# ALTERNATIVE NAME 365: TZAAR
# ALTERNATIVE NAME 366: Small World Underground
# ALTERNATIVE NAME 367: Normandy '44
# ALTERNATIVE NAME 368: IKI
# ALTERNATIVE NAME 369: D-Day at Omaha Beach
# ALTERNATIVE NAME 370: Exit: The Game  The Pharaoh's Tomb
# ALTERNATIVE NAME 371: Lords of Vegas
# ALTERNATIVE NAME 372: Québec
# ALTERNATIVE NAME 373: Oceanos
# ALTERNATIVE NAME 374: Race for the Galaxy
# ALTERNATIVE NAME 375: Agricola: All Creatures Big and Small
# ALTERNATIVE NAME 376: Pickomino
# ALTERNATIVE NAME 377: Hansa Teutonica
# ALTERNATIVE NAME 378: Star Wars: Destiny
# ALTERNATIVE NAME 379: Innovation
# ALTERNATIVE NAME 380: Love Letter: Batman
# ALTERNATIVE NAME 381: Betrayal at Baldur's Gate
# ALTERNATIVE NAME 382: Kanban: Driver's Edition
# ALTERNATIVE NAME 383: Seeland
# ALTERNATIVE NAME 384: Last Will
# ALTERNATIVE NAME 385: Fortress America
# ALTERNATIVE NAME 386: Troyes
# ALTERNATIVE NAME 387: Dale of Merchants 2
# ALTERNATIVE NAME 388: Around the World in 80 Days
# ALTERNATIVE NAME 389: Nightfall
# ALTERNATIVE NAME 390: Risk Legacy
# ALTERNATIVE NAME 391: Exodus: Proxima Centauri
# ALTERNATIVE NAME 392: Pandemic: Iberia
# ALTERNATIVE NAME 393: Ave Caesar
# ALTERNATIVE NAME 394: Up Front
# ALTERNATIVE NAME 395: Roads & Boats
# ALTERNATIVE NAME 396: The Princes of Florence
# ALTERNATIVE NAME 397: Bootleggers
# ALTERNATIVE NAME 398: Beyond Baker Street
# ALTERNATIVE NAME 399: Broom Service
# ALTERNATIVE NAME 400: The Great Heartland Hauling Co.
# ALTERNATIVE NAME 401: HeroQuest Advanced Quest
# ALTERNATIVE NAME 402: Russian Railroads
# ALTERNATIVE NAME 403: Oltre Mare
# ALTERNATIVE NAME 404: Powerboats
# ALTERNATIVE NAME 405: Trambahn
# ALTERNATIVE NAME 406: Through the Ages: A New Story of Civilization
# ALTERNATIVE NAME 407: Sushi Go Party!
# ALTERNATIVE NAME 408: American Rails
# ALTERNATIVE NAME 409: Clans
# ALTERNATIVE NAME 410: Die Macher
# ALTERNATIVE NAME 411: Junk Art
# ALTERNATIVE NAME 412: Egizia
# ALTERNATIVE NAME 413: Rajas of the Ganges
# ALTERNATIVE NAME 414: Napoleon's Triumph
# ALTERNATIVE NAME 415: Palastgeflüster
# ALTERNATIVE NAME 416: Puerto Rico
# ALTERNATIVE NAME 417: Guilds of London
# ALTERNATIVE NAME 418: Timeline: Discoveries
# ALTERNATIVE NAME 419: Sagrada
# ALTERNATIVE NAME 420: Ticket to Ride
# ALTERNATIVE NAME 421: Hamsterrolle
# ALTERNATIVE NAME 422: The Builders: Middle Ages
# ALTERNATIVE NAME 423: To Court the King
# ALTERNATIVE NAME 424: TurfMaster
# ALTERNATIVE NAME 425: Torres
# ALTERNATIVE NAME 426: Bruxelles 1893
# ALTERNATIVE NAME 427: Capitol
# ALTERNATIVE NAME 428: Arcadia Quest
# ALTERNATIVE NAME 429: Chicago Express
# ALTERNATIVE NAME 430: The Great Zimbabwe
# ALTERNATIVE NAME 431: SPQR (Deluxe Edition)
# ALTERNATIVE NAME 432: Friday the 13th
# ALTERNATIVE NAME 433: Caylus
# ALTERNATIVE NAME 434: Zombicide: Black Plague
# ALTERNATIVE NAME 435: Nyet!
# ALTERNATIVE NAME 436: Pandemic
# ALTERNATIVE NAME 437: Infinity
# ALTERNATIVE NAME 438: Last Train to Wensleydale
# ALTERNATIVE NAME 439: Feudum
# ALTERNATIVE NAME 440: Anachrony
# ALTERNATIVE NAME 441: Wings of War: Burning Drachens
# ALTERNATIVE NAME 442: Exit: The Game  The Forgotten Island
# ALTERNATIVE NAME 443: Jungle Speed
# ALTERNATIVE NAME 444: Earth Reborn
# ALTERNATIVE NAME 445: Relic Runners
# ALTERNATIVE NAME 446: DVONN
# ALTERNATIVE NAME 447: The Godfather: Corleone's Empire
# ALTERNATIVE NAME 448: Dungeon Petz
# ALTERNATIVE NAME 449: Chinatown
# ALTERNATIVE NAME 450: Robinson Crusoe: Adventures on the Cursed Island
# ALTERNATIVE NAME 451: The Manhattan Project: Energy Empire
# ALTERNATIVE NAME 452: Schotten Totten
# ALTERNATIVE NAME 453: The Voyages of Marco Polo
# ALTERNATIVE NAME 454: The Princes of Machu Picchu
# ALTERNATIVE NAME 455: Elder Sign
# ALTERNATIVE NAME 456: Heroscape Master Set:  Battle for the Underdark
# ALTERNATIVE NAME 457: Time's Up! Deluxe
# ALTERNATIVE NAME 458: Wildcatters
# ALTERNATIVE NAME 459: Mafia de Cuba
# ALTERNATIVE NAME 460: Mythotopia
# ALTERNATIVE NAME 461: Cyclades
# ALTERNATIVE NAME 462: Star Wars: The Card Game
# ALTERNATIVE NAME 463: Elysium
# ALTERNATIVE NAME 464: Thurn and Taxis
# ALTERNATIVE NAME 465: Karuba
# ALTERNATIVE NAME 466: The Rose King
# ALTERNATIVE NAME 467: The Resistance: Avalon
# ALTERNATIVE NAME 468: Carson City
# ALTERNATIVE NAME 469: El Capitán
# ALTERNATIVE NAME 470: Trains
# ALTERNATIVE NAME 471: Lowlands
# ALTERNATIVE NAME 472: Ticket to Ride: Märklin
# ALTERNATIVE NAME 473: Smash Up: Awesome Level 9000
# ALTERNATIVE NAME 474: Kings of Air and Steam
# ALTERNATIVE NAME 475: Commands & Colors: Napoleonics
# ALTERNATIVE NAME 476: Mordheim: City of the Damned
# ALTERNATIVE NAME 477: Spyfall 2
# ALTERNATIVE NAME 478: Guildhall: Job Faire
# ALTERNATIVE NAME 479: Keyflower
# ALTERNATIVE NAME 480: A Game of Thrones: Hand of the King
# ALTERNATIVE NAME 481: Victory in the Pacific
# ALTERNATIVE NAME 482: Monsterpocalypse
# ALTERNATIVE NAME 483: Brew Crafters
# ALTERNATIVE NAME 484: Summoner Wars: Master Set
# ALTERNATIVE NAME 485: Hammer of the Scots
# ALTERNATIVE NAME 486: First Martians: Adventures on the Red Planet
# ALTERNATIVE NAME 487: Everdell
# ALTERNATIVE NAME 488: Battlestar Galactica: The Board Game
# ALTERNATIVE NAME 489: Lorenzo il Magnifico
# ALTERNATIVE NAME 490: Xia: Legends of a Drift System
# ALTERNATIVE NAME 491: Glass Road
# ALTERNATIVE NAME 492: Escape: The Curse of the Temple
# ALTERNATIVE NAME 493: The Boss
# ALTERNATIVE NAME 494: Axis & Allies: 1942
# ALTERNATIVE NAME 495: Euphoria: Build a Better Dystopia
# ALTERNATIVE NAME 496: Tsuro of the Seas
# ALTERNATIVE NAME 497: Francis Drake
# ALTERNATIVE NAME 498: Age of Empires III: The Age of Discovery
# ALTERNATIVE NAME 499: Diamonds Club
# ALTERNATIVE NAME 500: Axis & Allies
# ALTERNATIVE NAME 501: Legendary: A Marvel Deck Building Game
# ALTERNATIVE NAME 502: Dragonheart
# ALTERNATIVE NAME 503: Warsaw: City of Ruins
# ALTERNATIVE NAME 504: Urban Sprawl
# ALTERNATIVE NAME 505: La Granja: No Siesta
# ALTERNATIVE NAME 506: Mice and Mystics
# ALTERNATIVE NAME 507: We the People
# ALTERNATIVE NAME 508: Betrayal at House on the Hill
# ALTERNATIVE NAME 509: Merchants & Marauders
# ALTERNATIVE NAME 510: Mystic Vale
# ALTERNATIVE NAME 511: Xiangqi
# ALTERNATIVE NAME 512: Cosmic Encounter
# ALTERNATIVE NAME 513: Tales of the Arabian Nights
# ALTERNATIVE NAME 514: Nations
# ALTERNATIVE NAME 515: Secret Hitler
# ALTERNATIVE NAME 516: Lords of Waterdeep
# ALTERNATIVE NAME 517: KLASK
# ALTERNATIVE NAME 518: The Climbers
# ALTERNATIVE NAME 519: Dead of Winter: A Crossroads Game
# ALTERNATIVE NAME 520: Raptor
# ALTERNATIVE NAME 521: PitchCar
# ALTERNATIVE NAME 522: Yspahan
# ALTERNATIVE NAME 523: Ingenious
# ALTERNATIVE NAME 524: Rococo
# ALTERNATIVE NAME 525: The Republic of Rome
# ALTERNATIVE NAME 526: Cry Havoc
# ALTERNATIVE NAME 527: League of Six
# ALTERNATIVE NAME 528: Arboretum
# ALTERNATIVE NAME 529: Legend of the Five Rings
# ALTERNATIVE NAME 530: Relic
# ALTERNATIVE NAME 531: Le Havre
# ALTERNATIVE NAME 532: Qwinto
# ALTERNATIVE NAME 533: Hare & Tortoise
# ALTERNATIVE NAME 534: Castles of Mad King Ludwig
# ALTERNATIVE NAME 535: Time's Up! Edición Azul
# ALTERNATIVE NAME 536: Power Grid Deluxe: Europe/North America
# ALTERNATIVE NAME 537: The Dresden Files Cooperative Card Game
# ALTERNATIVE NAME 538: König von Siam
# ALTERNATIVE NAME 539: Pick Picknic
# ALTERNATIVE NAME 540: Timeline: Music & Cinema
# ALTERNATIVE NAME 541: The Red Dragon Inn 2
# ALTERNATIVE NAME 542: Pax Porfiriana
# ALTERNATIVE NAME 543: PitchCar Mini
# ALTERNATIVE NAME 544: Carcassonne: Wheel of Fortune
# ALTERNATIVE NAME 545: Olympus
# ALTERNATIVE NAME 546: Trans Europa
# ALTERNATIVE NAME 547: Through the Desert
# ALTERNATIVE NAME 548: Jaipur
# ALTERNATIVE NAME 549: Beasty Bar
# ALTERNATIVE NAME 550: Show Manager
# ALTERNATIVE NAME 551: A Game of Thrones: The Card Game (Second Edition)
# ALTERNATIVE NAME 552: Twilight Struggle
# ALTERNATIVE NAME 553: Skull
# ALTERNATIVE NAME 554: Formula D
# ALTERNATIVE NAME 555: Gloomhaven
# ALTERNATIVE NAME 556: Lost Cities
# ALTERNATIVE NAME 557: Eldritch Horror
# ALTERNATIVE NAME 558: The Castles of Burgundy: The Dice Game
# ALTERNATIVE NAME 559: Run
# ALTERNATIVE NAME 560: 1830: Railways & Robber Barons
# ALTERNATIVE NAME 561: This War of Mine: The Board Game
# ALTERNATIVE NAME 562: On the Underground
# ALTERNATIVE NAME 563: Sail to India
# ALTERNATIVE NAME 564: Chronicle
# ALTERNATIVE NAME 565: Hannibal & Hamilcar
# ALTERNATIVE NAME 566: Root
# ALTERNATIVE NAME 567: Love Letter
# ALTERNATIVE NAME 568: Unhappy King Charles!
# ALTERNATIVE NAME 569: Hanamikoji
# ALTERNATIVE NAME 570: Love Letter: The Hobbit  The Battle of the Five Armies
# ALTERNATIVE NAME 571: Dungeon Command: Heart of Cormyr
# ALTERNATIVE NAME 572: Madeira
# ALTERNATIVE NAME 573: Washington's War
# ALTERNATIVE NAME 574: Medici
# ALTERNATIVE NAME 575: Middle-Earth Quest
# ALTERNATIVE NAME 576: Pax Pamir
# ALTERNATIVE NAME 577: No Thanks!
# ALTERNATIVE NAME 578: Terra Mystica
# ALTERNATIVE NAME 579: Wasabi!
# ALTERNATIVE NAME 580: Taj Mahal
# ALTERNATIVE NAME 581: Strike of the Eagle
# ALTERNATIVE NAME 582: Chaos in the Old World
# ALTERNATIVE NAME 583: Dominant Species
# ALTERNATIVE NAME 584: Labyrinth: The War on Terror
# ALTERNATIVE NAME 585: Helios
# ALTERNATIVE NAME 586: Chicken Cha Cha Cha
# ALTERNATIVE NAME 587: Lord of the Rings: The Confrontation
# ALTERNATIVE NAME 588: La Granja
# ALTERNATIVE NAME 589: Survive: Escape from Atlantis!
# ALTERNATIVE NAME 590: Star Realms
# ALTERNATIVE NAME 591: Tajemnicze Domostwo
# ALTERNATIVE NAME 592: Pastiche
# ALTERNATIVE NAME 593: Waggle Dance
# ALTERNATIVE NAME 594: Descent: Journeys in the Dark (Second Edition)
# ALTERNATIVE NAME 595: Marrakech
# ALTERNATIVE NAME 596: Mansions of Madness: Second Edition
# ALTERNATIVE NAME 597: Pandemic Legacy: Season 2
# ALTERNATIVE NAME 598: Squad Leader
# ALTERNATIVE NAME 599: The Guns of Gettysburg
# ALTERNATIVE NAME 600: Thunderstone Advance: Worlds Collide
# ALTERNATIVE NAME 601: Tower of Babel
# ALTERNATIVE NAME 602: Millennium Blades
# ALTERNATIVE NAME 603: Crisis
# ALTERNATIVE NAME 604: Castaways
# ALTERNATIVE NAME 605: Sherlock Holmes Consulting Detective: Jack the Ripper & West End Adventures
# ALTERNATIVE NAME 606: Runewars
# ALTERNATIVE NAME 607: Aeon's End
# ALTERNATIVE NAME 608: Euchre
# ALTERNATIVE NAME 609: The Manhattan Project
# ALTERNATIVE NAME 610: The Fox in the Forest
# ALTERNATIVE NAME 611: Blood Bowl: Team Manager  The Card Game
# ALTERNATIVE NAME 612: Once Upon a Time: The Storytelling Card Game
# ALTERNATIVE NAME 613: Sluff Off!
# ALTERNATIVE NAME 614: Raiders of the North Sea
# ALTERNATIVE NAME 615: El Grande
# ALTERNATIVE NAME 616: Bloodborne: The Card Game
# ALTERNATIVE NAME 617: Telestrations
# ALTERNATIVE NAME 618: B-17: Queen of the Skies
# ALTERNATIVE NAME 619: Splendor
# ALTERNATIVE NAME 620: Archaeology: The Card Game
# ALTERNATIVE NAME 621: Alien Frontiers
# ALTERNATIVE NAME 622: Viticulture
# ALTERNATIVE NAME 623: Viticulture Essential Edition
# ALTERNATIVE NAME 624: Tigris & Euphrates
# ALTERNATIVE NAME 625: 1989: Dawn of Freedom
# ALTERNATIVE NAME 626: Timbuktu
# ALTERNATIVE NAME 627: Sub Terra
# ALTERNATIVE NAME 628: Santorini
# ALTERNATIVE NAME 629: Legends of Andor
# ALTERNATIVE NAME 630: Belfort
# ALTERNATIVE NAME 631: Agricola (Revised Edition)
# ALTERNATIVE NAME 632: Mechs vs. Minions
# ALTERNATIVE NAME 633: Big City
# ALTERNATIVE NAME 634: Port Royal
# ALTERNATIVE NAME 635: Richard III: The Wars of the Roses
# ALTERNATIVE NAME 636: Tiny Epic Kingdoms
# ALTERNATIVE NAME 637: Roll for the Galaxy
# ALTERNATIVE NAME 638: Smash Up: The Obligatory Cthulhu Set
# ALTERNATIVE NAME 639: Targi
# ALTERNATIVE NAME 640: Dice Forge
# ALTERNATIVE NAME 641: Wiz-War
# ALTERNATIVE NAME 642: Daytona 500
# ALTERNATIVE NAME 643: Sushi Go!
# ALTERNATIVE NAME 644: Mage Knight Board Game
# ALTERNATIVE NAME 645: First Train to Nuremberg
# ALTERNATIVE NAME 646: Lost Legacy: The Starship
# ALTERNATIVE NAME 647: Mystery of the Abbey
# ALTERNATIVE NAME 648: Antike II
# ALTERNATIVE NAME 649: Asante
# ALTERNATIVE NAME 650: Wings of War: Deluxe Set
# ALTERNATIVE NAME 651: The Ancient World
# ALTERNATIVE NAME 652: Summoner Wars: Guild Dwarves vs Cave Goblins
# ALTERNATIVE NAME 653: Ghost Stories
# ALTERNATIVE NAME 654: Tanto Cuore
# ALTERNATIVE NAME 655: Pergamon
# ALTERNATIVE NAME 656: Stone Age
# ALTERNATIVE NAME 657: Gaia Project
# ALTERNATIVE NAME 658: Zombie 15'
# ALTERNATIVE NAME 659: Dixit
# ALTERNATIVE NAME 660: Sid Meier's Civilization: The Board Game
# ALTERNATIVE NAME 661: Wooden Ships & Iron Men
# ALTERNATIVE NAME 662: Steam Time
# ALTERNATIVE NAME 663: Friday
# ALTERNATIVE NAME 664: Ghost Fightin' Treasure Hunters
# ALTERNATIVE NAME 665: Dixit: Journey
# ALTERNATIVE NAME 666: Combat Commander: Pacific
# ALTERNATIVE NAME 667: Navajo Wars
# ALTERNATIVE NAME 668: Captain Sonar
# ALTERNATIVE NAME 669: Inis
# ALTERNATIVE NAME 670: Queendomino
# ALTERNATIVE NAME 671: Ticket to Ride: Nordic Countries
# ALTERNATIVE NAME 672: Odin's Ravens
# ALTERNATIVE NAME 673: Samurai Spirit
# ALTERNATIVE NAME 674: Fighting Formations: Grossdeutschland Motorized Infantry Division
# ALTERNATIVE NAME 675: 1775: Rebellion
# ALTERNATIVE NAME 676: Antiquity
# ALTERNATIVE NAME 677: Marvel Dice Masters: Avengers vs. X-Men
# ALTERNATIVE NAME 678: Tikal II: The Lost Temple
# ALTERNATIVE NAME 679: Mangrovia
# ALTERNATIVE NAME 680: Conflict of Heroes: Awakening the Bear!  Russia 1941-42
# ALTERNATIVE NAME 681: Path of Light and Shadow
# ALTERNATIVE NAME 682: Potion Explosion
# ALTERNATIVE NAME 683: Dominion: Intrigue
# ALTERNATIVE NAME 684: Warfighter: The Tactical Special Forces Card Game
# ALTERNATIVE NAME 685: Rommel in the Desert
# ALTERNATIVE NAME 686: Decrypto
# ALTERNATIVE NAME 687: Hit Z Road
# ALTERNATIVE NAME 688: Mare Nostrum: Empires
# ALTERNATIVE NAME 689: Snowdonia
# ALTERNATIVE NAME 690: World War II: Barbarossa to Berlin
# ALTERNATIVE NAME 691: One Night Ultimate Werewolf Daybreak
# ALTERNATIVE NAME 692: 1960: The Making of the President
# ALTERNATIVE NAME 693: Warhammer Quest: The Adventure Card Game
# ALTERNATIVE NAME 694: The City of Kings
# ALTERNATIVE NAME 695: You're Bluffing!
# ALTERNATIVE NAME 696: Battle for Rokugan
# ALTERNATIVE NAME 697: Carcassonne
# ALTERNATIVE NAME 698: Dr. Eureka
# ALTERNATIVE NAME 699: Kamisado
# ALTERNATIVE NAME 700: Keltis
# ALTERNATIVE NAME 701: Navegador
# ALTERNATIVE NAME 702: Cuba Libre
# ALTERNATIVE NAME 703: Aeon's End: War Eternal
# ALTERNATIVE NAME 704: Lost Valley
# ALTERNATIVE NAME 705: Atlantic Star
# ALTERNATIVE NAME 706: Samurai
# ALTERNATIVE NAME 707: Risk 2210 A.D.
# ALTERNATIVE NAME 708: Battle Sheep
# ALTERNATIVE NAME 709: Teenage Mutant Ninja Turtles: Shadows of the Past
# ALTERNATIVE NAME 710: Ground Floor
# ALTERNATIVE NAME 711: Myrmes
# ALTERNATIVE NAME 712: Epic Card Game
# ALTERNATIVE NAME 713: Pandemic Legacy: Season 1
# ALTERNATIVE NAME 714: Edo
# ALTERNATIVE NAME 715: Indonesia
# ALTERNATIVE NAME 716: Warhammer Quest: Silver Tower
# ALTERNATIVE NAME 717: Roll Player
# ALTERNATIVE NAME 718: Tzolk'in: The Mayan Calendar
# ALTERNATIVE NAME 719: Kingdom Death: Monster
# ALTERNATIVE NAME 720: Alien Artifacts
# ALTERNATIVE NAME 721: Brass: Lancashire
# ALTERNATIVE NAME 722: A Game of Thrones: The Board Game (Second Edition)
# ALTERNATIVE NAME 723: Wings of War: Watch Your Back!
# ALTERNATIVE NAME 724: The Hanging Gardens
# ALTERNATIVE NAME 725: Rising Sun
# ALTERNATIVE NAME 726: Eurorails
# ALTERNATIVE NAME 727: Gloom
# ALTERNATIVE NAME 728: Taluva
# ALTERNATIVE NAME 729: Steam
# ALTERNATIVE NAME 730: Modern Art
# ALTERNATIVE NAME 731: Century: Spice Road
# ALTERNATIVE NAME 732: Glory to Rome
# ALTERNATIVE NAME 733: Heroscape Marvel: The Conflict Begins
# ALTERNATIVE NAME 734: Libertalia
# ALTERNATIVE NAME 735: Favor of the Pharaoh
# ALTERNATIVE NAME 736: Lifeboats
# ALTERNATIVE NAME 737: Duel of Ages II
# ALTERNATIVE NAME 738: Founding Fathers
# ALTERNATIVE NAME 739: Spirit Island
# ALTERNATIVE NAME 740: La Boca
# ALTERNATIVE NAME 741: Star Wars: Rebellion
# ALTERNATIVE NAME 742: Discworld: Ankh-Morpork
# ALTERNATIVE NAME 743: Kingsburg
# ALTERNATIVE NAME 744: Yunnan
# ALTERNATIVE NAME 745: Fresco
# ALTERNATIVE NAME 746: The Russian Campaign
# ALTERNATIVE NAME 747: Notre Dame
# ALTERNATIVE NAME 748: Cube Quest
# ALTERNATIVE NAME 749: City of Iron: Second Edition
# ALTERNATIVE NAME 750: The End of the Triumvirate
# ALTERNATIVE NAME 751: BattleCON: Fate of Indines
# ALTERNATIVE NAME 752: A Few Acres of Snow
# ALTERNATIVE NAME 753: 1860: Railways on the Isle of Wight
# ALTERNATIVE NAME 754: Sanssouci
# ALTERNATIVE NAME 755: Flash Point: Fire Rescue
# ALTERNATIVE NAME 756: Chess
# ALTERNATIVE NAME 757: Luna
# ALTERNATIVE NAME 758: Sekigahara: The Unification of Japan
# ALTERNATIVE NAME 759: Istanbul: The Dice Game
# ALTERNATIVE NAME 760: Mystery Express
# ALTERNATIVE NAME 761: Stephenson's Rocket
# ALTERNATIVE NAME 762: Age of Industry
# ALTERNATIVE NAME 763: Ultimate Werewolf: Deluxe Edition
# ALTERNATIVE NAME 764: The Gallerist
# ALTERNATIVE NAME 765: Fjords
# ALTERNATIVE NAME 766: Money!
# ALTERNATIVE NAME 767: Star Trek: Fleet Captains
# ALTERNATIVE NAME 768: Quadropolis
# ALTERNATIVE NAME 769: Oasis
# ALTERNATIVE NAME 770: Unconditional Surrender! World War 2 in Europe
# ALTERNATIVE NAME 771: RAF: The Battle of Britain 1940
# ALTERNATIVE NAME 772: Ora et Labora
# ALTERNATIVE NAME 773: Take it Easy!
# ALTERNATIVE NAME 774: Archaeology: The New Expedition
# ALTERNATIVE NAME 775: Ginkgopolis
# ALTERNATIVE NAME 776: BANG! The Dice Game
# ALTERNATIVE NAME 777: Iron Dragon
# ALTERNATIVE NAME 778: Hornet Leader: Carrier Air Operations
# ALTERNATIVE NAME 779: Imperial
# ALTERNATIVE NAME 780: BattleLore
# ALTERNATIVE NAME 781: Through the Ages: A Story of Civilization
# ALTERNATIVE NAME 782: Legendary Encounters: An Alien Deck Building Game
# ALTERNATIVE NAME 783: Maria
# ALTERNATIVE NAME 784: Antike Duellum
# ALTERNATIVE NAME 785: Bora Bora
# ALTERNATIVE NAME 786: Altiplano
# ALTERNATIVE NAME 787: Rum & Bones
# ALTERNATIVE NAME 788: Kingsburg (Second Edition)
# ALTERNATIVE NAME 789: Agents of SMERSH
# ALTERNATIVE NAME 790: Inkognito
# ALTERNATIVE NAME 791: Evolution
# ALTERNATIVE NAME 792: Dungeon Command: Sting of Lolth
# ALTERNATIVE NAME 793: Tyrants of the Underdark
# ALTERNATIVE NAME 794: Champions of Midgard
# ALTERNATIVE NAME 795: Carcassonne: Amazonas
# ALTERNATIVE NAME 796: Argent: The Consortium
# ALTERNATIVE NAME 797: Blood Bowl (Third Edition)
# ALTERNATIVE NAME 798: Suburbia
# ALTERNATIVE NAME 799: Deep Space D-6
# ALTERNATIVE NAME 800: Memoir '44
# ALTERNATIVE NAME 801: Seasons
# ALTERNATIVE NAME 802: BattleCON: Devastation of Indines
# ALTERNATIVE NAME 803: The Quacks of Quedlinburg
# ALTERNATIVE NAME 804: Letters from Whitechapel
# ALTERNATIVE NAME 805: O Zoo le Mio
# ALTERNATIVE NAME 806: Lancaster
# ALTERNATIVE NAME 807: Otys
# ALTERNATIVE NAME 808: Kingdom Builder
# ALTERNATIVE NAME 809: Codenames: Deep Undercover
# ALTERNATIVE NAME 810: T.I.M.E Stories
# ALTERNATIVE NAME 811: Welcome Back to the Dungeon
# ALTERNATIVE NAME 812: Yokohama
# ALTERNATIVE NAME 813: The Bridges of Shangri-La
# ALTERNATIVE NAME 814: Bottom of the 9th
# ALTERNATIVE NAME 815: One Night Ultimate Werewolf
# ALTERNATIVE NAME 816: Ancient Terrible Things
# ALTERNATIVE NAME 817: Food Chain Magnate
# ALTERNATIVE NAME 818: Kashgar: Merchants of the Silk Road
# ALTERNATIVE NAME 819: Blood Rage
# ALTERNATIVE NAME 820: Paperback
# ALTERNATIVE NAME 821: Tobago
# ALTERNATIVE NAME 822: Imperial Settlers
# ALTERNATIVE NAME 823: Civilization
# ALTERNATIVE NAME 824: 51st State: Master Set
# ALTERNATIVE NAME 825: Mamma Mia!
# ALTERNATIVE NAME 826: 7 Wonders
# ALTERNATIVE NAME 827: Time's Up!
# ALTERNATIVE NAME 828: 7 Wonders Duel
# ALTERNATIVE NAME 829: Neanderthal
# ALTERNATIVE NAME 830: Sobek
# ALTERNATIVE NAME 831: 1944: Race to the Rhine
# ALTERNATIVE NAME 832: Small World
# ALTERNATIVE NAME 833: Bohnanza
# ALTERNATIVE NAME 834: Sword & Sorcery
# ALTERNATIVE NAME 835: Codenames
# ALTERNATIVE NAME 836: The Duke
# ALTERNATIVE NAME 837: Warmachine
# ALTERNATIVE NAME 838: Combat Commander: Europe
# ALTERNATIVE NAME 839: Mombasa
# ALTERNATIVE NAME 840: Gizmos
# ALTERNATIVE NAME 841: Robo Rally
# ALTERNATIVE NAME 842: Sea of Clouds
# ALTERNATIVE NAME 843: PÜNCT
# ALTERNATIVE NAME 844: The Red Dragon Inn
# ALTERNATIVE NAME 845: Goa
# ALTERNATIVE NAME 846: Dinosaur Island
# ALTERNATIVE NAME 847: Cthulhu Realms
# ALTERNATIVE NAME 848: Hanabi
# ALTERNATIVE NAME 849: Code 777
# ALTERNATIVE NAME 850: Time's Up! Title Recall!
# ALTERNATIVE NAME 851: Kingdoms
# ALTERNATIVE NAME 852: Coal Baron: The Great Card Game
# ALTERNATIVE NAME 853: Kingdomino
# ALTERNATIVE NAME 854: Among the Stars
# ALTERNATIVE NAME 855: Evolution: Climate
# ALTERNATIVE NAME 856: Kolejka
# ALTERNATIVE NAME 857: Star Wars: Armada
# ALTERNATIVE NAME 858: Fields of Fire
# ALTERNATIVE NAME 859: Shakespeare
# ALTERNATIVE NAME 860: Indian Summer
# ALTERNATIVE NAME 861: Revolution: The Dutch Revolt 1568-1648
# ALTERNATIVE NAME 862: BANG!
# ALTERNATIVE NAME 863: Pente
# ALTERNATIVE NAME 864: Flamme Rouge
# ALTERNATIVE NAME 865: The Ark of the Covenant
# ALTERNATIVE NAME 866: Gentes
# ALTERNATIVE NAME 867: OddVille
# ALTERNATIVE NAME 868: Mare Nostrum
# ALTERNATIVE NAME 869: Sheriff of Nottingham
# ALTERNATIVE NAME 870: RoboRally
# ALTERNATIVE NAME 871: Biblios
# ALTERNATIVE NAME 872: Warhammer: Diskwars
# ALTERNATIVE NAME 873: Shadows of Brimstone: City of the Ancients
# ALTERNATIVE NAME 874: Heroscape Master Set: Rise of the Valkyrie
# ALTERNATIVE NAME 875: Key to the City: London
# ALTERNATIVE NAME 876: Dominion
# ALTERNATIVE NAME 877: Legendary Encounters: A Firefly Deck Building Game
# ALTERNATIVE NAME 878: Mage Wars Arena
# ALTERNATIVE NAME 879: Terra
# ALTERNATIVE NAME 880: Cinque Terre
# ALTERNATIVE NAME 881: Cockroach Poker
# ALTERNATIVE NAME 882: Steampunk Rally
# ALTERNATIVE NAME 883: Pyramid of Pengqueen
# ALTERNATIVE NAME 884: Babel
# ALTERNATIVE NAME 885: Saint Petersburg
1: 555,14,514,651,373,76,391,673,224,302,636,794,774,655,171,350,300,358,320,499,329,466,668,360,710,872,476,400,633,201,195,327,631,759,131,10,737,439,310,614,538,600,362,28,352,784,638,877,256,512,239,242,707,316,862,511,48,576,57,541,648,738,543,761,714,684,108,740,529,838,281,372,81,851,550,137,549,133,172,613,500,376,685,158,884,661,669,49,418,230,62,771,203,4,443,181,33,548,726,746,235,507,279,672,647,868,694,393,503,518,457,604,454,533,105,9,39,679,361,154,532,82,139,234,215,58,377,383,437,126,540,765,735,723,699,326,67,456,570,789,192,770,811,179,845,664,354,733,530,667,493,620,148,800,858,563,709,278,408,496,25,729,219,53,397,272,881,246,398,313,671,110,240,650,409,662,559,312,417,441,603,619,254,847,405,592,20,340,687,865,844,828,87,368,778,381,442,787,477,829,434,36,27,813,421,705,708,751,588,159,724,236,616,658,85,546,121,622,263,579,116,618,505,107,367,143,674,202,227,70,269,186,595,348,284,435,396,315,273,271,185,744,170,304,565,403,324,164,267,415,856,696,527,206,690,44,237,221,238,736,754,481,200,627,86,191,136,173,841,321,351,261,109,74,250,501,220,243,153,80,695,535,60,460,217,420,308,635,75,288,831,260,769,233,469,489,459,504,32,612,825,861,748,698,419,480,867,814,749,149,880,646,866,199,147,777,478,1,52,176,166,331,241,608,283,704,494,837,363,210,502,341,607,66,860,389,177,753,438,750,43,431,788,601,763,883,385,879,388,461,564,12,30,641,169,404,387,818,568,822,8,649,343,401,593,654,285,2,697,803,852,163,248,585,182,799,98,700,198,639,458,716,218,720,244,849,474,37,581,422,843,29,424,642,356,190,558,773,758,73,72,5,645,229,498,545,135,194,40,178,56,875,537,586,319,207,45,830,790,571,21,807,599,295,779,187,427,712,423,245,805,678,90,486,92,863,795,357,17,482,65,792,59,448,213,766,681,816,160,842,445,337,407,253,134,544,727,809,760,103,432,325,539,63,626,840,416,286,146,484,566,471,536,732,878,606,692,96,204,97,183,123,785,119,150,561,291,801,26,353,490,142,621,165,84,344,513,701,560,223,102,706,124,515,660,853,19,77,78,375,804,623,79,715,832,115,857,524,138,410,676,653,713,336,659,451,157,339,509,7,231,382,731,491,644,255,129,270,214,347,47,249,68,802,301,298,567,747,609,730,24,205,506,152,617,130,596,209,823,855,276,226,589,38,885,846,721,717,472,390,89,611,793,188,35,118,426,296,413,752,745,806,768,128,869,783,780,824,819,106,797,755,675,51,864,587,569,328,632,208,111,355,873,743,874,602,817,216,180,309,379,815,395,306,848,412,140,122,378,444,161,556,366,145,584,871,572,406,34,629,189,850,475,88,605,228,266,258,739,314,663,520,734,359,144,322,485,820,640,781,463,580,551,251,495,13,521,262,775,430,597,332,114,71,222,113,791,523,384,83,127,497,447,125,365,870,719,468,212,317,464,91,525,643,290,689,528,117,371,446,120,449,452,274,786,112,323,429,686,510,3,693,630,265,691,833,718,16,473,665,465,542,470,196,41,526,268,531,688,289,232,54,577,394,827,821,338,156,450,682,174,293,399,742,634,796,670,46,453,414,757,275,836,756,349,680,728,425,94,553,69,711,22,141,767,703,64,99,826,61,517,487,492,591,625,859,31,93,882,479,508,6,547,333,554,573,11,854,175,280,411,277,287,575,574,677,297,380,101,104,433,197,522,162,834,808,151,42,666,23,374,346,211,50,455,462,652,335,776,835,252,364,303,483,369,330,610,307,345,557,370,762,342,257,184,598,552,702,132,583,725,168,516,100,167,810,615,18,683,741,637,95,488,839,764,55,193,386,440,519,282,402,624,292,876,436,305,318,594,628,392,657,656,294,247,534,782,722,467,590,428,578,264,772,155,812,582,311,798,334,299,225,259,562,15
1: 555,14,514,15,259,373,651,391,673,76,224,655,774,202,171,302,636,300,320,358,350,499,329,476,794,360,710,439,466,759,400,633,195,201,631,872,327,10,737,131,310,538,668,352,600,362,28,784,638,242,256,614,239,707,862,511,877,316,576,48,512,648,541,761,738,543,684,714,281,235,108,838,740,529,685,549,81,57,133,372,851,550,613,172,500,376,230,884,669,661,49,158,418,62,771,203,4,443,33,137,181,726,746,507,279,694,503,672,647,393,518,868,457,604,679,454,533,105,548,9,532,326,361,139,540,154,234,383,39,215,82,735,126,58,765,723,437,699,377,456,570,789,192,811,770,179,664,67,354,493,733,667,620,530,148,845,272,858,563,709,278,408,496,219,800,881,25,313,397,53,650,398,246,671,442,110,409,240,662,417,312,559,441,254,729,603,405,687,592,27,20,847,340,865,828,87,778,844,368,477,381,36,829,434,708,787,813,705,159,421,724,619,236,751,616,658,121,565,85,107,546,588,579,263,116,618,227,367,505,284,186,622,143,70,674,269,595,696,273,271,396,315,348,435,744,185,170,267,304,403,324,237,415,206,856,527,44,690,841,221,164,736,754,238,481,173,86,200,136,191,627,261,351,321,109,74,250,220,501,243,635,80,535,153,695,460,75,420,308,831,288,60,233,769,459,469,260,504,489,32,612,825,861,52,480,748,698,199,866,867,749,149,814,880,646,147,419,777,478,1,803,176,166,331,608,704,283,241,494,837,860,363,341,210,502,607,66,389,177,753,438,750,431,601,43,385,763,883,788,879,388,564,461,12,30,641,2,840,387,169,404,818,822,285,568,8,649,343,585,401,799,852,566,593,458,163,654,248,182,187,198,98,217,697,700,581,716,244,558,422,218,639,849,720,843,474,424,642,29,190,73,37,72,645,773,5,356,545,135,498,229,194,178,40,56,807,875,207,319,758,586,45,830,571,790,21,295,245,599,427,537,423,204,678,712,805,90,486,779,863,146,357,17,795,681,482,448,792,59,766,65,213,160,816,253,337,92,445,842,134,544,809,727,471,760,407,103,432,63,539,626,26,416,325,286,536,484,732,878,606,692,96,97,183,19,123,785,119,150,291,561,801,490,621,353,165,84,344,513,701,560,102,223,623,706,515,124,660,853,77,78,375,804,142,79,715,832,857,115,524,138,410,676,451,713,336,653,157,659,339,509,7,249,382,231,255,644,491,731,270,214,129,347,47,68,301,802,298,567,609,747,730,24,205,506,152,617,130,596,209,823,855,276,226,846,589,38,885,721,717,472,390,89,793,611,188,35,413,118,296,426,752,745,806,768,869,128,783,824,780,819,864,797,106,675,755,51,569,587,328,632,355,208,111,873,743,602,874,817,216,180,309,379,395,815,848,306,412,739,122,444,378,161,556,366,145,584,871,572,406,140,629,850,88,189,475,605,228,266,258,34,314,734,663,520,359,144,322,640,485,820,781,463,580,551,251,495,13,262,521,430,775,597,114,332,71,113,222,791,523,384,83,127,497,447,365,125,870,719,468,464,317,91,212,525,689,643,290,528,117,371,446,786,120,112,449,686,452,323,274,429,510,693,3,630,265,691,833,718,16,473,542,665,465,470,196,526,41,54,531,688,268,289,394,232,577,821,827,338,156,450,293,174,682,796,742,399,634,275,46,453,487,670,414,757,836,756,349,680,728,94,425,141,553,69,711,703,22,517,767,826,64,61,99,492,625,591,859,93,882,479,547,508,31,6,333,554,573,11,411,854,280,175,277,287,575,297,677,574,380,101,104,433,197,834,522,162,808,42,151,23,666,374,346,211,50,168,462,455,652,610,835,335,776,252,364,369,345,330,483,370,303,257,762,307,342,184,598,702,552,557,132,583,725,516,100,167,810,615,18,683,741,637,95,488,839,764,55,193,386,440,519,282,402,624,292,876,436,305,318,594,628,392,657,656,294,247,534,782,722,467,590,264,578,428,772,812,155,582,311,334,798,299,225,562
1: 555,14,514,794,631,668,614,512,838,57,669,33,137,548,377,39,67,845,800,671,729,87,619,434,588,164,622,396,237,191,501,828,420,489,566,199,419,283,607,43,461,639,217,822,697,37,758,498,779,448,92,407,416,325,536,286,484,732,692,606,878,183,97,96,785,119,123,150,561,801,291,621,353,490,165,84,344,701,560,102,223,623,706,515,124,660,853,77,78,375,804,142,79,715,115,832,857,524,138,249,410,676,713,336,451,157,339,653,659,509,7,382,231,491,298,255,731,129,214,270,347,68,802,47,301,644,567,730,747,609,24,205,506,846,152,617,596,130,209,823,855,226,276,589,38,885,721,717,472,793,390,89,413,611,188,35,118,296,426,752,745,806,768,783,869,128,864,780,819,824,569,106,797,675,51,755,587,355,328,739,111,208,873,602,874,743,817,216,180,309,379,395,815,306,848,412,632,122,444,88,161,556,145,366,378,584,871,406,140,572,850,629,189,475,605,228,266,314,34,258,663,734,359,520,640,144,485,322,820,781,463,580,251,551,495,13,262,521,430,775,597,513,114,332,71,113,222,791,523,384,83,127,447,497,125,365,870,719,468,317,464,91,212,525,528,643,689,290,117,371,686,786,112,446,120,449,452,323,274,429,510,3,693,265,630,691,542,718,833,16,473,465,665,470,196,41,688,54,531,394,526,268,289,232,821,827,577,338,156,450,487,796,174,682,293,399,742,634,670,453,414,275,46,757,836,349,756,141,94,728,680,425,703,553,69,711,517,22,61,826,767,64,99,492,591,625,859,6,547,479,882,93,31,508,333,411,573,554,11,854,280,168,175,287,277,575,297,677,574,834,101,433,380,197,104,522,162,808,23,151,42,374,666,346,211,50,610,455,652,462,835,335,369,776,252,345,370,364,483,330,303,257,762,307,342,702,184,598,552,557,132,225,15,651,562,373,391,259,439,171,583,76,774,655,224,300,673,302,636,350,759,516,358,499,320,329,476,360,400,466,710,725,201,633,195,872,737,327,10,100,310,362,131,538,28,352,600,242,256,167,784,239,576,638,761,877,648,707,810,316,862,235,541,48,511,684,543,738,615,714,281,740,108,529,549,81,18,685,851,133,372,613,550,172,230,683,500,376,884,158,661,771,62,49,418,741,95,4,203,503,443,726,181,746,279,507,637,393,647,694,672,518,868,457,604,532,839,533,326,454,679,105,361,9,139,735,488,383,234,154,540,126,765,215,82,723,764,58,699,437,456,664,811,570,770,789,354,55,179,192,733,530,493,440,620,667,709,442,148,272,563,881,858,408,386,27,496,278,219,397,53,650,25,193,603,110,240,409,313,398,246,417,662,519,312,441,559,254,687,847,829,405,592,282,402,20,865,340,778,844,477,36,368,624,381,696,708,565,813,705,292,421,787,159,751,724,616,85,107,236,876,658,674,546,186,579,121,367,618,436,116,263,284,505,227,269,70,595,143,305,315,185,271,273,267,744,435,170,304,318,348,403,415,324,44,841,206,690,856,594,527,221,736,238,481,754,86,628,627,840,173,136,261,200,321,351,220,392,74,80,535,250,153,635,243,695,657,656,109,803,460,60,308,831,52,288,75,294,233,260,769,469,459,504,32,698,825,202,748,861,612,480,867,866,149,749,247,646,880,147,814,26,478,777,1,331,860,176,166,494,241,608,704,837,363,534,502,788,341,210,177,66,389,782,753,818,187,438,750,431,2,387,601,722,763,385,883,879,564,388,590,12,404,641,30,169,558,204,285,146,467,458,852,8,568,799,343,163,593,581,578,264,585,182,649,654,401,98,700,248,244,198,428,422,218,716,135,424,772,29,849,190,720,843,73,474,72,642,812,773,5,356,229,545,645,178,319,155,40,194,875,207,807,56,586,582,830,45,790,571,21,245,295,599,712,795,334,427,90,423,863,805,678,537,681,17,357,311,486,253,19,471,482,792,816,59,766,798,65,160,213,337,134,445,842,544,809,299,760,727,432,103,539,63,626
1: 555,14,774,651,391,562,259,631,373,225,76,673,655,300,636,329,224,302,514,350,358,201,320,360,400,476,499,466,794,710,195,235,633,327,872,737,362,614,10,310,538,28,256,600,668,131,352,242,761,638,239,784,862,648,541,512,576,877,48,316,707,684,511,543,738,838,714,281,740,529,549,133,108,851,57,230,81,685,172,500,376,613,669,550,372,158,661,884,49,62,443,418,33,137,503,4,518,726,771,181,746,279,647,203,26,393,694,672,532,507,868,326,548,604,457,533,154,679,454,105,361,377,354,735,9,234,58,139,664,456,215,540,800,383,840,765,723,437,770,699,82,126,67,811,179,570,192,789,442,27,53,39,530,493,733,881,603,272,858,845,496,620,563,240,148,709,408,278,397,246,671,662,667,398,25,409,110,219,650,87,417,312,565,847,441,696,254,729,313,687,405,559,829,477,844,592,20,340,619,186,778,865,381,36,708,368,107,588,616,658,751,813,803,434,421,787,121,159,705,85,724,618,546,164,236,505,841,367,579,116,674,263,622,595,227,267,143,170,271,435,70,627,304,237,315,269,273,284,348,324,185,744,403,566,415,44,856,690,206,736,527,396,221,52,238,86,754,481,173,220,136,191,261,80,321,200,351,535,695,250,828,501,74,460,243,153,109,308,260,635,489,233,75,698,831,60,288,866,459,420,769,748,469,612,32,504,825,867,419,861,187,480,149,646,749,788,607,814,147,331,176,880,19,478,1,146,494,199,777,860,166,608,241,818,204,704,66,283,837,210,363,341,502,883,389,43,177,387,558,763,385,753,2,750,564,461,601,879,431,438,244,135,404,639,169,12,30,641,388,285,8,343,852,217,822,568,458,593,163,649,581,182,799,585,697,98,401,700,248,716,654,422,198,758,190,218,29,849,73,424,37,471,72,720,642,474,843,356,807,773,40,5,319,586,545,229,178,498,645,194,790,207,56,253,875,295,830,779,245,537,45,571,599,423,486,805,795,21,681,863,712,427,678,90,448,357,17,59,766,482,160,65,213,792,816,407,134,337,445,842,809,727,544,760,416,536,432,63,539,103,626,286,325,92,484,732,606,692,96,119,97,150,878,561,785,123,183,291,801,353,621,490,84,165,344,701,102,513,560,223,623,706,515,124,660,853,78,77,249,375,142,804,715,79,115,832,857,524,138,676,410,713,336,451,653,659,509,7,157,339,382,231,731,298,491,255,129,214,270,347,846,301,47,730,644,68,567,802,609,24,747,205,152,506,617,596,130,209,855,823,276,226,589,38,885,721,717,413,793,472,390,611,89,188,35,118,296,426,745,752,806,864,768,569,869,783,780,739,106,128,755,51,797,675,824,587,355,328,819,208,111,874,743,873,602,817,180,216,379,309,306,815,395,88,848,632,412,122,444,556,161,145,366,871,378,584,406,34,572,189,850,629,475,640,605,228,314,140,258,520,266,663,734,359,262,144,820,485,781,322,463,113,13,495,580,251,551,521,430,775,114,332,71,686,222,597,127,447,523,791,384,83,497,125,365,719,870,464,91,317,528,468,786,212,525,643,117,112,290,487,371,689,446,120,449,452,323,274,429,510,265,630,833,693,54,718,3,691,168,473,16,542,465,665,470,531,196,268,41,688,289,821,232,526,577,156,450,394,827,338,399,682,174,670,634,742,453,796,141,293,275,46,756,703,757,836,414,94,349,425,553,728,517,711,680,69,22,826,64,767,61,99,492,6,859,547,411,479,31,508,591,882,625,93,333,554,11,573,280,277,854,834,175,287,575,101,297,610,433,380,574,197,104,677,162,522,42,808,151,374,23,211,346,455,50,666,252,462,776,652,335,370,330,345,364,303,369,835,483,257,702,307,342,762,132,184,552,557,598,583,516,725,100,167,615,810,18,683,741,95,637,488,839,764,440,55,386,193,402,282,519,624,202,292,876,436,318,305,392,594,657,628,656,294,247,534,782,590,467,722,578,264,428,772,812,155,311,334,439,582,798,171,299,15,759
1: 555,14,631,15,562,651,391,259,373,225,76,655,673,300,329,636,514,320,224,302,235,350,358,201,360,400,794,466,476,499,195,26,710,633,327,614,872,362,737,10,310,538,761,28,668,256,600,131,638,784,242,352,648,512,576,239,541,862,877,48,707,316,684,511,838,738,543,714,281,230,549,108,840,740,57,529,133,851,81,685,669,613,500,172,158,376,372,550,661,884,33,137,49,62,443,503,418,532,4,181,518,726,771,746,279,694,393,647,203,672,548,326,604,507,868,457,533,154,679,454,377,354,361,105,664,234,9,139,735,456,215,800,58,383,765,442,723,540,699,437,770,67,126,82,811,27,179,603,272,192,789,39,570,53,530,493,881,733,858,845,496,565,620,709,240,148,563,408,662,671,278,397,246,667,25,409,110,417,87,398,650,696,312,219,186,847,829,729,441,313,803,559,254,405,687,477,619,592,844,20,340,778,381,865,36,708,588,368,616,107,751,85,658,164,813,121,421,705,787,724,159,618,367,566,546,841,19,236,116,674,505,579,434,263,267,227,595,143,627,170,271,52,622,304,435,70,284,315,324,273,269,44,396,348,744,403,185,415,206,856,690,237,221,736,527,86,173,238,754,220,191,481,136,261,187,80,200,146,321,351,828,501,535,74,250,695,308,460,260,866,489,153,109,635,75,243,233,60,698,420,288,504,769,831,32,748,469,459,612,825,419,867,861,480,149,646,607,147,749,788,860,331,1,814,176,199,478,880,777,494,66,818,204,166,241,608,283,704,558,210,363,341,837,502,387,883,43,763,389,2,177,385,753,135,750,461,244,564,601,431,879,852,438,639,285,404,30,12,169,641,458,388,8,217,822,343,471,568,585,593,799,581,697,163,649,182,700,29,98,401,716,654,758,248,198,422,190,218,73,424,37,849,72,807,642,843,720,356,474,773,586,5,253,207,194,40,319,498,545,229,56,178,790,875,537,779,645,295,45,245,830,599,571,795,423,712,863,21,681,427,805,90,486,678,448,17,357,766,160,59,482,65,213,134,337,407,792,816,445,809,842,544,727,416,536,760,432,63,539,626,103,325,286,92,484,732,606,96,692,119,878,785,150,183,123,561,291,801,353,621,97,490,165,84,344,701,102,513,560,223,623,706,515,124,660,78,853,77,249,375,142,804,715,79,115,832,857,524,676,138,410,713,336,451,382,653,659,509,7,157,339,231,731,298,491,255,846,129,270,214,347,47,730,301,644,567,68,802,609,747,24,205,152,506,617,596,130,209,855,823,226,276,589,38,413,721,885,717,793,472,390,611,188,89,35,118,296,426,864,745,752,806,768,569,783,869,780,739,106,128,51,755,797,824,675,587,355,328,819,874,208,111,743,873,180,817,602,216,379,309,88,395,306,815,848,632,122,412,444,556,161,145,366,871,584,406,34,572,378,189,850,629,475,640,228,605,314,140,520,359,266,258,663,262,734,820,144,113,781,485,322,463,13,580,686,495,251,551,521,430,71,775,114,332,487,222,597,127,523,447,791,384,83,497,112,365,719,786,125,528,870,464,91,317,468,212,117,525,168,643,290,371,689,446,120,449,323,452,54,274,429,510,630,265,718,3,693,833,691,465,16,473,542,665,196,531,470,268,688,41,289,394,577,526,232,156,450,821,827,399,141,338,174,682,670,634,703,453,742,796,293,275,46,756,349,836,757,94,414,553,425,728,517,711,680,69,61,826,22,64,767,99,411,492,859,6,547,479,882,508,591,31,834,625,93,333,11,554,280,573,277,854,287,175,610,575,101,297,433,574,380,197,104,677,162,522,42,808,23,374,151,211,346,455,50,666,252,462,652,776,335,370,330,257,345,364,702,583,369,303,483,307,342,762,132,184,552,835,598,557,516,100,725,167,615,810,18,683,741,95,637,488,839,440,202,764,55,386,193,282,402,519,624,292,876,436,318,305,392,594,657,628,656,294,247,534,782,590,467,722,578,264,428,812,772,311,155,334,439,582,798,171,299,774,759
1: 555,578,299,15,840,235,562,651,373,259,391,225,655,300,76,794,673,329,224,636,320,302,358,350,201,514,400,362,466,360,476,499,195,710,633,614,872,737,327,10,538,761,668,310,256,600,28,638,784,131,242,352,838,239,576,648,541,877,316,48,862,707,511,57,543,684,738,281,230,714,108,549,740,512,529,133,81,851,685,137,613,500,372,158,172,376,503,550,661,33,669,884,532,62,49,518,418,443,4,181,694,726,746,771,326,393,647,203,279,548,672,868,507,604,457,442,533,354,664,377,679,154,803,454,139,27,105,9,361,800,215,383,234,58,456,765,735,723,603,67,770,540,126,437,272,699,811,19,179,829,566,565,570,789,192,53,881,82,845,493,186,530,733,858,496,709,39,696,620,148,240,662,408,278,563,671,397,110,667,25,246,417,409,650,219,312,87,398,847,687,313,441,559,405,164,254,477,592,844,20,381,340,778,36,588,708,865,616,368,107,729,751,658,85,187,813,121,724,52,146,619,618,421,705,267,546,627,841,159,367,505,434,787,236,674,116,579,227,595,435,263,396,143,271,284,70,170,304,744,273,44,237,315,269,324,415,185,403,348,856,622,206,690,173,221,754,866,527,736,191,86,238,220,481,261,80,136,828,489,351,535,200,321,250,74,260,695,460,501,308,60,233,698,109,75,153,420,635,243,204,288,504,748,769,831,607,32,825,469,459,612,480,861,419,867,860,149,788,646,818,147,199,558,814,331,749,176,1,880,494,283,66,478,777,241,166,608,135,704,2,387,43,837,341,177,210,363,883,502,389,639,763,244,385,750,753,471,564,461,852,601,431,879,458,438,12,217,822,30,641,285,404,169,8,343,388,568,697,799,581,585,593,654,649,182,758,163,29,98,700,716,190,401,248,198,218,422,72,424,73,807,37,849,843,356,642,720,474,773,253,207,498,5,586,40,319,229,790,545,875,537,178,779,194,56,681,645,245,45,295,830,795,571,599,423,712,21,863,427,805,90,448,486,678,357,17,160,766,134,482,407,65,792,337,213,816,445,842,59,536,809,544,760,727,539,432,63,325,626,103,92,286,484,732,606,692,96,291,416,119,150,785,878,561,183,123,801,353,621,97,490,84,165,344,102,701,560,513,223,623,706,515,124,660,249,78,853,77,375,142,715,79,804,115,832,857,524,676,138,382,713,336,451,410,653,7,659,509,157,339,846,231,298,731,491,255,214,129,270,347,730,301,47,644,567,68,802,747,609,24,205,506,617,209,596,152,130,855,823,413,226,276,589,38,739,885,717,793,472,611,390,89,188,35,118,721,864,426,745,752,806,569,783,768,869,106,296,780,128,51,755,797,824,675,587,355,328,819,111,874,873,208,602,743,180,817,88,216,379,309,395,306,815,848,632,122,412,444,556,145,161,584,366,871,572,406,34,189,850,378,475,487,629,640,359,605,140,228,686,520,262,314,266,258,663,734,144,781,113,820,485,463,13,322,551,580,71,251,495,430,521,114,168,775,332,597,222,447,127,523,528,786,791,112,384,719,497,83,365,125,870,464,91,468,317,117,212,525,371,643,290,689,54,446,323,120,449,452,274,429,510,3,630,718,693,265,833,691,473,465,16,542,688,665,531,196,470,41,268,141,703,289,394,577,156,450,232,821,399,526,670,827,682,338,796,174,453,742,634,293,46,275,836,757,756,349,94,553,414,425,728,517,711,61,680,69,826,834,767,22,64,99,411,859,492,479,6,547,508,882,591,31,625,93,11,333,280,554,573,610,854,277,287,175,575,101,297,433,574,104,677,380,197,162,522,808,42,374,151,23,346,211,455,666,50,252,462,370,652,776,335,330,702,345,257,364,583,369,303,483,307,132,552,202,342,762,184,598,835,557,100,516,725,167,615,810,18,741,683,95,637,440,488,764,839,55,386,193,282,402,519,624,292,876,436,318,305,392,594,657,628,656,294,247,534,782,590,467,722,14,264,311,812,772,428,26,155,439,334,631,582,171,798,774,759
1: 555,578,299,15,235,373,651,562,259,391,225,655,794,300,673,76,362,329,224,636,302,358,514,320,201,350,400,466,360,476,499,195,710,614,327,633,872,737,10,668,761,256,538,28,310,576,600,638,784,838,239,131,242,352,648,541,877,316,862,511,57,48,707,684,230,543,738,714,281,108,669,549,740,529,133,81,685,137,851,613,500,532,503,172,372,376,33,512,158,550,661,803,884,518,62,49,418,443,4,326,181,726,771,746,694,548,203,393,647,279,442,672,868,604,457,507,377,354,27,664,19,154,533,679,139,454,566,770,829,361,105,9,234,735,58,215,456,800,765,383,603,723,272,540,126,437,811,67,699,565,179,570,192,789,858,845,53,881,493,82,733,186,530,496,671,696,709,620,148,662,240,278,408,87,563,110,246,397,25,667,219,417,650,39,409,398,312,847,313,441,477,164,687,254,559,146,405,592,381,844,20,729,340,778,708,36,187,865,52,588,368,616,751,658,813,85,107,619,121,627,724,421,618,841,705,267,546,367,434,505,159,674,236,227,787,116,579,595,396,143,70,170,284,263,744,271,435,44,237,304,315,273,269,324,866,415,185,403,622,856,348,690,221,206,754,489,173,527,86,736,238,481,261,828,191,136,535,351,80,220,200,260,321,250,501,74,308,233,695,204,109,75,635,607,460,60,153,243,698,288,748,831,420,769,32,825,504,459,469,860,480,612,419,867,861,149,788,558,818,199,646,147,749,331,176,814,880,1,283,66,478,494,777,166,241,135,608,387,43,704,471,837,2,210,883,363,341,502,177,639,244,763,389,753,852,385,750,564,758,601,458,431,879,438,12,217,461,285,641,404,8,169,716,30,343,697,388,585,568,799,581,654,593,822,649,29,700,182,190,98,163,198,807,248,422,401,424,73,218,72,849,37,253,843,356,474,642,720,773,207,319,498,586,875,229,5,790,40,194,545,681,779,537,178,795,56,245,295,645,830,448,45,571,599,423,21,712,863,427,805,678,90,357,17,486,160,766,482,65,407,134,337,792,213,842,816,536,59,445,809,544,727,760,92,432,539,103,626,63,325,286,484,732,119,606,291,692,416,96,150,561,878,785,123,183,353,801,621,97,490,165,84,344,102,701,560,513,223,623,706,249,515,660,124,78,853,77,715,142,375,79,804,115,832,857,524,676,382,138,713,336,451,410,653,7,846,659,157,509,339,231,298,491,731,255,129,214,270,347,730,301,68,644,567,802,47,747,24,205,609,617,209,506,596,152,130,855,413,823,226,276,589,38,739,717,885,793,472,611,390,89,188,35,118,721,864,426,569,745,752,806,783,768,869,780,296,106,128,51,755,797,824,675,587,355,328,819,874,873,111,208,88,602,743,817,180,216,379,309,395,306,815,848,632,122,487,444,412,556,145,161,584,366,871,406,140,572,475,686,378,850,189,629,359,640,34,262,605,228,520,266,258,314,113,144,663,781,734,168,485,13,820,322,463,71,580,551,495,251,430,114,521,775,332,719,112,528,447,786,222,127,523,384,791,597,497,83,365,870,125,91,464,468,317,117,212,525,371,54,643,290,689,446,323,120,452,449,274,429,3,510,693,718,265,630,833,542,473,691,16,465,703,688,531,141,41,196,665,470,268,289,394,577,156,450,821,232,399,526,682,827,796,670,338,174,453,634,742,293,275,46,757,414,836,553,94,517,756,349,728,425,61,834,680,826,69,711,767,22,64,6,411,99,479,859,492,547,882,625,508,31,11,591,93,280,333,554,610,573,854,287,277,101,175,575,202,297,574,104,380,162,197,677,522,42,808,433,23,151,346,211,666,455,252,50,370,374,462,652,702,335,776,257,369,583,330,364,345,303,483,307,552,132,762,342,184,598,835,557,100,516,167,725,615,810,18,741,683,95,637,440,488,764,839,55,386,193,282,402,519,624,292,876,436,318,305,392,594,657,656,628,294,247,534,782,590,467,722,26,14,264,311,812,439,772,428,155,840,631,334,582,759,171,774,798
1: 555,578,798,373,794,562,259,329,651,391,299,673,225,636,76,300,655,320,224,201,614,302,466,358,350,360,400,476,195,362,514,327,499,633,710,737,872,803,668,761,10,239,256,538,28,576,310,131,566,352,784,541,638,877,600,648,48,316,512,707,862,242,511,543,230,738,684,669,19,549,281,714,133,108,503,529,740,838,172,372,500,518,851,158,376,81,532,685,33,137,613,326,550,442,884,661,57,418,181,694,443,62,49,771,548,726,27,647,4,279,746,393,203,672,868,154,664,354,829,604,457,533,507,770,377,679,139,735,361,603,215,540,454,234,765,800,272,9,105,383,58,723,565,811,126,67,186,456,699,570,437,53,696,179,881,192,845,146,82,789,187,493,496,733,671,858,530,381,246,709,620,278,164,662,397,110,563,240,409,687,398,148,87,25,477,408,847,650,219,667,312,619,417,559,844,254,52,441,313,729,708,405,340,36,20,751,592,588,85,865,107,778,368,627,658,616,121,39,813,267,724,618,546,421,159,434,705,227,674,70,170,236,44,505,237,579,367,116,787,595,263,435,284,866,273,396,143,841,304,744,315,271,324,269,191,415,348,185,403,856,690,527,736,489,206,481,86,754,173,204,221,238,351,828,622,535,220,260,136,233,261,250,200,607,74,460,480,695,321,75,153,308,501,698,80,60,825,243,419,109,788,860,288,831,635,748,459,504,612,420,769,32,469,66,867,558,199,149,861,646,818,331,147,135,749,283,176,244,814,494,471,880,1,777,799,43,478,241,166,608,387,210,704,883,363,639,502,389,837,852,385,341,763,2,458,461,285,750,177,753,601,217,431,564,169,879,8,12,641,438,697,388,404,253,343,654,585,568,758,700,30,190,98,716,422,581,822,248,649,163,29,182,401,807,73,593,37,849,424,72,198,218,773,474,537,642,843,448,790,319,356,5,207,229,245,498,40,586,875,720,194,178,545,795,645,295,681,56,45,423,863,830,571,712,21,779,599,678,805,427,357,90,486,407,17,809,766,160,792,65,286,482,816,134,842,337,213,59,727,445,760,536,544,103,63,539,432,92,626,119,325,732,291,484,96,606,416,692,150,561,183,123,878,785,353,801,621,97,490,102,165,84,344,701,223,560,513,706,142,249,515,124,660,78,853,77,715,623,79,375,832,804,115,857,524,676,846,138,713,298,382,451,410,653,7,659,509,339,157,731,336,491,231,255,270,214,730,347,129,301,567,739,68,47,747,802,205,413,609,24,506,152,644,130,617,209,855,823,226,276,589,38,721,717,793,885,472,864,611,89,390,188,35,596,569,426,118,745,752,806,768,869,106,783,296,128,780,755,51,487,355,797,824,587,675,819,328,874,111,88,743,873,208,817,602,180,216,379,309,306,686,815,632,848,395,122,556,145,168,161,412,444,871,406,34,584,366,572,475,378,189,605,629,262,140,359,113,850,640,314,520,228,258,266,663,781,13,734,322,144,495,485,820,463,580,71,719,251,114,430,521,551,775,528,332,112,786,447,222,127,523,791,597,365,384,497,83,870,54,464,125,117,91,468,317,371,212,643,525,290,689,323,446,120,452,449,274,429,510,265,718,833,703,3,630,693,691,465,542,473,531,16,688,141,470,665,268,196,41,289,577,156,450,394,682,232,821,796,399,670,526,174,453,827,338,634,742,293,275,553,517,756,202,414,46,757,728,349,836,425,834,61,94,411,680,711,64,6,69,22,767,826,99,492,547,508,859,11,882,610,625,280,93,591,554,31,333,573,277,854,287,175,479,575,380,297,101,574,197,104,677,522,808,433,162,42,151,370,346,252,211,455,23,776,374,50,666,462,702,257,330,369,652,583,335,303,364,345,483,342,552,132,307,598,762,184,557,835,516,100,725,167,615,810,683,741,18,95,637,440,488,839,764,55,386,193,282,402,624,519,292,876,436,318,305,392,594,657,656,628,294,26,247,534,782,590,840,467,722,14,311,439,264,812,428,772,631,155,582,235,334,171,759,774,15
1: 555,578,803,798,373,562,259,391,329,299,651,673,300,76,225,320,655,636,201,224,614,302,466,360,350,476,358,362,400,514,327,195,499,710,633,737,872,668,761,239,10,256,19,538,28,600,566,310,131,877,352,541,784,648,576,48,862,512,638,230,707,242,316,543,511,684,738,669,281,549,714,503,108,133,518,851,137,740,532,442,172,529,326,372,376,500,158,33,838,81,685,613,550,146,57,884,661,181,418,62,443,49,726,771,548,27,694,647,4,279,829,393,746,203,154,672,664,868,770,354,604,457,533,565,377,507,603,272,679,735,139,215,454,361,234,800,540,765,9,187,105,383,723,186,67,696,811,881,699,126,53,456,570,58,437,845,179,192,789,82,858,493,671,733,496,381,246,709,530,620,164,662,477,278,687,397,110,563,148,409,87,398,667,52,847,25,240,650,417,619,219,312,408,559,405,441,254,729,844,107,708,313,627,340,36,20,588,751,592,865,778,368,85,267,39,658,616,813,121,618,724,227,421,434,546,159,705,44,674,70,505,237,170,595,236,367,787,579,841,263,116,284,396,435,866,273,143,744,315,304,191,271,204,269,324,415,185,690,403,348,856,489,527,736,754,206,481,173,221,828,607,86,351,238,535,220,260,136,250,622,233,261,200,74,460,695,80,480,321,501,60,698,75,308,153,243,419,860,825,788,748,831,635,504,109,288,420,459,769,32,612,558,66,469,867,799,199,135,861,818,149,471,283,646,244,331,176,147,749,814,494,1,43,880,777,478,166,387,241,608,883,210,852,502,363,704,389,837,458,639,341,385,285,763,2,750,177,753,217,461,253,601,431,564,879,169,8,12,697,388,438,641,404,343,758,700,585,568,654,30,807,98,822,649,29,190,73,581,422,248,716,163,401,37,182,593,849,218,198,424,72,537,773,448,474,356,642,843,319,790,795,5,498,207,40,229,245,586,194,720,875,681,545,645,295,56,178,423,830,863,779,571,45,712,21,599,357,427,407,805,678,90,17,486,809,816,160,286,766,792,65,482,134,337,842,213,59,92,445,727,760,103,544,539,63,432,536,626,325,119,291,732,96,484,150,416,606,692,561,183,123,785,878,353,801,621,97,223,102,490,165,84,344,701,560,249,513,142,706,515,660,124,78,853,77,846,623,715,79,375,804,832,115,857,676,524,382,713,298,138,451,410,653,7,659,509,339,157,731,739,491,231,255,270,730,214,347,301,129,413,336,567,68,747,802,47,205,609,24,209,506,644,152,617,130,855,823,226,276,717,589,721,793,38,885,472,864,611,89,390,188,569,596,35,426,118,745,752,806,487,768,783,106,296,869,128,780,755,51,355,797,675,824,587,819,88,328,874,111,873,743,208,817,602,180,686,216,168,379,309,306,632,848,815,395,556,122,145,412,161,444,871,406,34,584,366,262,113,605,359,378,572,140,475,189,629,850,640,520,228,314,266,258,781,13,663,322,734,144,495,485,71,463,580,114,820,430,251,521,551,528,786,719,332,775,112,447,127,222,523,597,791,365,384,497,54,83,870,464,91,117,125,468,317,371,212,290,525,643,323,689,446,449,120,452,429,274,510,265,718,703,3,833,693,630,141,542,691,465,531,16,473,688,665,470,41,268,196,289,577,156,450,670,821,682,232,394,399,796,526,202,174,827,338,634,742,275,293,553,517,453,834,756,414,46,757,728,349,61,425,94,836,411,680,6,711,64,69,22,767,826,99,547,610,492,859,508,11,882,625,280,591,93,554,31,333,573,277,287,854,479,175,575,101,297,380,574,197,104,677,162,433,522,808,42,151,370,252,346,23,455,374,211,50,776,666,257,462,702,583,652,369,330,335,303,345,364,552,483,132,342,307,598,184,762,725,516,557,835,100,167,615,810,683,741,18,95,440,637,488,839,764,55,386,193,282,402,624,519,292,876,436,318,305,392,594,657,656,628,26,294,840,247,534,782,590,467,722,439,14,311,264,812,631,428,772,155,759,582,235,334,774,171,794,15
1: 555,578,334,798,373,562,391,259,651,299,329,673,76,300,655,225,636,320,362,614,224,201,302,466,360,350,358,476,400,514,327,195,737,872,499,633,710,566,761,19,256,10,239,230,538,28,668,310,352,648,600,784,541,877,131,576,512,638,48,862,707,543,242,511,316,738,669,684,146,108,518,281,549,503,714,326,838,133,442,532,529,172,851,740,372,158,33,137,500,613,685,376,81,550,57,884,181,27,418,661,62,443,771,49,726,647,829,4,746,279,393,694,548,203,187,154,664,672,770,565,354,603,377,868,272,604,457,533,507,679,735,139,800,454,215,361,186,696,765,234,383,540,9,67,105,881,53,699,723,811,58,845,456,570,179,126,437,192,858,671,789,82,493,733,709,477,496,381,87,246,687,620,662,530,278,52,164,110,397,398,563,409,148,667,619,847,240,417,650,25,219,408,312,588,405,107,627,559,708,844,441,729,254,36,340,313,20,592,751,267,778,237,85,368,865,616,121,658,813,724,434,227,618,546,44,421,841,505,159,489,866,595,705,674,787,367,70,170,39,579,236,263,435,116,284,315,273,396,143,304,204,185,744,271,269,191,324,415,690,348,403,527,856,736,828,607,206,481,754,221,86,351,238,622,173,233,220,535,799,260,136,261,80,501,250,460,200,74,860,60,480,695,419,321,75,153,308,698,243,825,420,831,558,788,471,635,288,459,109,504,769,748,32,66,818,135,612,469,199,867,244,861,149,331,646,749,283,176,147,814,494,458,777,1,387,478,880,43,166,241,608,883,852,704,210,363,639,837,502,285,341,389,385,763,217,758,253,2,177,750,753,601,431,564,8,461,879,169,12,388,438,641,697,404,343,807,73,700,654,568,29,822,585,30,98,649,581,190,163,422,716,37,248,182,401,593,849,198,773,424,474,498,218,795,537,72,356,642,319,843,790,448,5,207,720,245,586,40,229,875,779,194,681,645,545,295,56,423,830,863,571,45,712,178,599,21,357,805,286,678,427,90,17,486,160,766,407,809,792,816,65,482,842,337,134,213,291,445,59,727,760,103,544,92,539,63,432,626,536,119,732,325,150,96,561,416,484,606,692,183,785,123,878,353,801,621,97,223,102,490,165,846,84,344,701,560,249,142,513,706,515,660,78,124,853,77,623,715,79,375,832,804,676,115,857,382,524,713,298,138,451,410,653,7,659,339,509,157,731,739,491,231,255,730,270,214,347,413,301,129,336,567,802,68,747,205,47,609,24,209,617,644,506,130,152,855,823,226,793,276,717,721,589,38,885,864,472,89,487,611,569,390,596,188,35,426,118,745,752,806,106,783,768,296,869,128,780,51,755,88,686,797,675,819,355,824,587,328,874,111,743,873,817,602,208,168,180,216,379,306,309,632,848,815,395,556,122,145,412,161,871,406,34,262,444,113,584,605,359,475,366,378,140,572,629,850,189,520,640,228,314,258,13,781,266,663,322,734,144,485,528,495,430,463,719,71,114,580,251,521,820,551,786,112,332,775,447,54,127,597,222,523,365,791,497,384,83,870,464,117,91,468,125,371,317,212,290,643,525,323,689,446,452,449,120,429,274,703,510,718,265,833,141,3,693,630,542,202,465,473,691,16,688,665,470,41,268,196,156,531,289,577,670,682,821,394,232,796,399,450,526,827,174,338,742,517,634,275,293,553,453,834,756,414,757,728,349,46,61,94,411,425,836,6,680,711,69,64,826,22,767,610,99,547,11,492,859,508,280,882,625,554,591,93,31,333,573,277,287,479,854,175,101,575,380,297,574,197,104,677,433,162,522,808,151,252,42,370,346,23,211,374,455,702,257,50,776,666,462,652,583,369,330,335,345,303,364,552,483,132,342,307,598,184,762,725,516,835,557,100,167,615,683,18,741,810,95,440,637,488,839,764,55,386,402,282,193,624,519,292,876,436,318,305,392,840,594,26,657,656,294,628,247,534,782,590,311,439,467,14,722,264,812,631,428,772,235,155,759,582,803,774,794,171,15
1: 555,578,798,373,562,651,614,259,391,329,300,76,673,655,225,362,320,299,636,224,19,201,360,302,350,466,358,566,476,400,195,327,872,499,737,633,514,710,761,146,256,239,668,230,10,28,538,648,352,877,541,310,600,512,784,131,242,638,48,576,707,543,862,669,684,316,326,511,738,518,108,281,838,503,549,714,532,133,442,372,529,851,172,33,137,158,740,613,500,376,685,81,57,550,884,181,829,418,661,27,62,187,443,771,49,726,154,694,548,647,354,4,746,603,565,664,279,272,377,393,203,672,770,868,457,507,696,800,533,679,604,735,139,186,454,215,361,765,67,53,9,881,234,383,540,699,105,811,845,570,58,126,456,723,179,437,858,192,671,381,709,82,789,477,493,52,164,733,687,496,246,87,620,530,662,278,563,398,397,110,619,409,148,417,240,312,25,107,588,847,667,408,219,627,650,405,751,708,729,254,559,844,313,441,340,36,267,489,799,20,592,778,85,616,368,865,121,237,841,866,658,204,813,724,618,421,434,44,227,546,595,505,159,705,607,674,367,787,579,70,170,236,116,435,39,284,315,263,273,143,304,185,744,396,271,415,324,269,690,527,856,403,828,191,348,736,206,754,481,86,221,622,238,136,220,351,233,173,535,260,860,501,261,200,460,250,80,74,60,788,558,419,480,695,471,75,308,321,153,243,831,420,825,698,635,818,66,288,32,459,199,504,769,109,748,135,469,612,867,244,861,149,749,646,176,43,331,147,814,387,458,494,1,777,478,283,880,883,608,166,241,852,704,210,639,837,363,502,341,763,285,389,385,253,217,758,750,753,177,564,601,879,8,461,431,2,12,169,807,343,388,697,438,404,641,73,568,700,654,29,822,585,98,30,190,649,581,163,716,422,37,248,182,401,593,849,773,537,198,474,498,795,424,72,218,356,642,843,448,319,790,5,207,720,245,40,586,779,229,875,681,645,194,545,295,423,56,830,863,45,357,571,599,21,178,286,712,805,90,427,678,842,407,17,816,486,766,160,65,482,134,809,792,291,337,213,445,59,727,760,92,103,539,544,432,63,626,119,536,732,325,96,150,561,416,484,606,692,183,785,123,353,878,846,801,97,621,223,102,490,344,84,560,165,701,249,142,513,706,515,660,78,124,853,77,623,715,79,375,832,115,804,676,382,524,857,713,739,138,451,410,653,7,339,659,509,157,731,298,491,231,730,255,270,214,413,347,301,129,336,567,747,205,802,68,47,609,209,24,617,644,152,506,130,855,823,226,276,717,793,721,589,38,885,864,487,472,569,89,611,390,596,188,35,426,118,745,752,806,783,106,296,768,686,869,780,88,128,51,755,797,819,675,587,824,355,328,168,874,111,817,743,602,208,873,180,216,379,306,632,309,395,815,848,556,122,145,262,113,406,34,412,871,161,444,584,605,475,359,366,140,572,378,850,189,629,520,640,228,314,13,781,258,266,663,322,528,734,144,485,495,719,463,430,71,114,580,786,251,112,521,820,551,332,775,447,54,127,597,222,523,365,791,497,384,83,870,117,91,464,468,371,125,317,212,290,643,323,525,689,446,449,452,703,120,274,202,429,141,510,265,833,3,542,630,718,693,465,473,691,16,688,665,470,41,268,156,531,196,289,577,682,670,394,821,399,232,450,796,517,174,827,338,634,742,275,526,834,453,553,293,756,414,757,411,349,46,94,728,61,836,425,6,610,69,711,680,826,64,22,767,99,11,547,859,492,280,508,882,625,554,591,93,31,333,573,277,479,287,854,101,380,175,575,574,297,197,104,433,677,522,162,808,151,252,42,370,346,374,23,257,211,455,702,50,666,776,462,583,369,652,330,335,345,303,552,364,483,132,307,342,598,184,725,762,516,100,835,557,167,615,683,18,741,810,440,95,839,637,488,764,55,386,402,282,193,624,519,292,876,436,840,318,305,26,392,594,657,656,294,628,247,534,782,590,311,439,467,14,722,264,812,631,803,428,772,235,155,759,794,774,171,582,334,15
1: 555,578,334,146,19,373,798,651,562,259,329,300,391,362,566,76,225,655,673,320,224,636,358,466,302,299,201,360,350,476,400,195,327,230,514,872,499,633,761,737,710,256,668,239,877,648,10,538,352,541,28,669,242,326,310,131,600,784,543,512,48,707,638,862,576,108,281,518,684,316,838,511,532,738,503,714,549,442,33,137,133,529,372,187,172,851,740,500,158,613,57,27,81,829,685,376,550,181,884,565,418,661,62,603,664,548,354,771,154,443,49,272,726,800,694,4,647,746,279,393,770,203,672,377,868,186,696,679,457,533,507,735,881,604,67,53,139,9,454,361,215,234,765,699,383,845,540,811,105,858,58,126,570,723,456,164,179,799,437,477,381,52,192,671,82,709,493,733,789,496,87,687,620,246,530,662,278,398,563,148,489,397,110,409,240,417,107,312,588,408,667,219,25,405,847,627,650,619,267,559,751,254,708,313,36,844,441,607,340,20,592,204,85,616,778,841,729,865,121,368,866,44,658,813,237,724,421,227,618,546,505,595,284,159,434,367,674,705,236,70,170,787,396,579,116,315,263,435,143,273,185,191,304,744,324,415,271,690,788,269,348,527,828,39,558,856,403,736,206,754,481,419,221,86,233,173,351,535,220,260,136,622,238,471,860,261,818,460,200,80,501,480,74,60,250,308,321,831,695,153,420,75,243,66,698,825,635,135,459,504,288,32,109,769,244,748,612,867,199,469,149,861,749,176,43,458,646,331,147,814,387,494,883,283,1,777,478,880,166,241,608,852,210,639,363,704,502,763,341,837,285,389,385,758,753,177,879,750,8,564,431,461,601,253,807,2,343,12,697,388,438,404,73,169,641,568,700,822,654,29,649,585,98,190,30,581,37,248,716,163,795,422,773,401,182,849,498,537,593,218,474,198,424,72,843,448,356,642,207,720,681,319,5,779,790,245,40,229,586,875,645,194,545,291,295,45,423,830,599,863,56,571,357,178,21,805,90,427,712,678,217,286,842,816,17,766,160,486,407,809,65,792,482,134,337,213,59,445,92,727,539,760,103,432,544,536,63,626,119,732,325,846,561,150,416,96,484,692,606,183,785,353,123,878,801,97,621,223,102,249,490,344,560,84,701,165,739,513,706,515,660,78,124,853,77,623,715,79,676,382,375,115,832,804,524,857,713,142,138,451,410,7,653,339,659,509,157,731,298,413,491,231,730,270,255,214,347,301,129,336,567,205,802,747,68,209,47,609,617,152,644,855,24,506,130,823,226,717,276,589,721,793,38,487,885,864,472,569,89,611,596,390,188,35,118,426,745,752,686,806,296,783,106,88,768,869,780,168,51,755,128,819,797,587,675,355,824,328,874,111,602,817,743,208,873,180,216,379,306,632,113,309,395,815,848,556,262,145,122,406,34,605,412,871,161,444,584,475,359,366,140,572,850,378,629,189,520,640,228,781,528,13,314,258,663,266,322,734,144,719,485,71,786,112,495,430,114,463,521,580,251,54,820,551,447,775,332,597,127,222,523,365,791,497,202,384,83,870,91,464,468,371,317,703,117,125,212,290,643,525,689,446,449,452,120,323,141,429,274,510,265,833,542,630,718,3,693,465,473,691,688,16,470,665,41,156,531,268,196,289,670,577,682,399,394,821,450,517,232,796,834,174,275,634,338,827,742,453,553,526,293,411,756,757,414,61,94,46,728,349,6,610,836,425,711,69,826,680,22,64,767,99,11,547,859,492,280,508,882,625,554,591,93,31,573,333,277,479,287,854,101,575,297,380,175,574,197,162,433,104,522,677,370,808,252,257,151,374,346,42,23,702,211,455,50,666,776,369,583,462,335,330,652,345,483,552,303,132,364,342,307,598,725,184,762,100,516,835,557,167,615,683,18,741,810,440,95,839,637,764,488,55,386,402,282,193,624,840,519,292,876,26,436,318,305,392,594,657,656,294,628,247,803,534,782,311,439,590,467,14,722,264,812,631,235,428,772,759,155,774,794,582,171,614,15
1: 555,578,582,334,373,651,362,798,329,259,562,300,76,391,225,655,636,299,673,466,320,360,201,302,224,358,476,514,350,327,195,400,761,633,230,499,872,668,737,710,256,326,541,877,669,239,648,28,538,310,10,108,352,518,512,48,503,638,862,187,543,576,707,242,784,137,684,131,532,316,442,511,600,549,33,838,281,738,714,829,172,133,603,27,664,565,851,500,372,376,529,158,81,740,57,613,62,186,685,154,884,354,548,550,181,418,661,726,799,443,49,800,647,272,771,4,279,746,770,696,393,377,694,868,672,881,53,203,811,507,679,67,533,735,139,215,361,58,604,457,381,234,607,540,52,9,477,765,699,454,383,179,845,858,105,723,570,437,126,456,192,709,164,82,204,493,627,246,671,687,496,107,789,733,620,662,489,530,398,397,409,417,110,148,278,87,563,240,312,25,267,841,405,619,219,866,408,847,667,559,650,708,588,844,616,751,313,254,340,368,36,434,20,441,592,778,44,865,658,237,85,813,724,121,505,595,227,70,546,419,674,421,618,170,159,579,705,236,729,284,367,435,787,304,271,471,263,396,116,273,143,315,558,324,185,744,415,39,856,348,788,736,269,690,818,754,403,191,233,527,535,860,481,260,173,622,206,86,220,221,351,136,480,66,80,238,501,261,200,60,460,153,244,695,308,420,698,74,250,243,321,75,831,459,635,32,825,135,109,504,769,288,199,748,612,469,149,867,387,331,43,646,861,176,494,458,749,883,283,814,147,777,852,1,608,880,763,639,478,166,241,363,502,285,210,704,389,828,461,385,753,341,837,807,2,253,758,879,750,177,8,343,601,846,564,12,73,431,388,404,169,438,697,641,700,795,654,649,190,585,822,98,716,568,29,773,248,30,291,581,163,422,182,720,849,537,37,593,218,681,72,207,790,401,474,286,245,319,424,642,356,843,198,40,5,586,561,295,229,423,599,875,645,448,545,863,830,56,45,194,357,90,178,217,779,571,805,21,427,842,712,678,498,486,65,17,160,766,134,816,337,213,59,482,792,809,539,63,727,445,407,103,760,432,119,544,626,732,536,150,92,96,739,325,484,692,353,606,123,183,785,249,223,416,801,102,621,878,490,344,560,84,165,701,97,515,706,513,78,660,853,124,77,623,715,382,79,115,804,676,832,375,524,857,713,142,138,451,7,410,653,339,659,509,413,731,298,157,730,270,491,231,214,255,347,301,336,567,747,205,129,209,68,487,802,617,644,47,609,130,855,152,24,506,717,823,226,721,793,276,589,864,38,885,686,569,472,596,89,611,188,390,35,118,426,168,752,296,745,806,88,106,783,768,869,755,51,819,780,355,824,587,128,797,675,328,874,817,111,743,602,208,113,180,873,34,216,379,306,309,815,605,556,395,406,632,262,145,848,122,871,161,412,444,366,202,584,359,189,850,520,528,640,572,475,140,629,378,13,228,314,322,54,258,663,719,786,266,112,734,144,495,521,485,114,430,781,71,463,551,251,580,820,447,332,775,127,222,523,703,365,791,597,497,384,870,91,464,468,83,317,371,323,125,290,643,212,525,689,141,446,452,449,117,120,510,429,274,265,833,630,542,718,465,3,691,688,693,473,470,16,268,670,156,531,289,665,682,196,577,41,553,834,517,796,450,634,399,821,232,394,174,275,338,742,453,827,411,526,756,6,293,757,610,94,349,425,728,46,61,414,836,711,22,280,64,69,680,767,547,99,11,492,508,826,859,882,625,554,591,93,31,333,573,277,479,101,287,854,380,297,575,574,197,433,175,162,370,522,104,808,677,252,151,374,257,23,42,346,455,211,776,50,702,583,369,666,652,462,330,335,345,132,552,725,303,483,364,342,307,184,598,762,100,516,557,835,167,615,683,18,741,440,810,95,839,637,488,764,840,55,386,402,282,624,193,26,519,292,876,436,318,305,803,392,594,657,656,294,628,247,311,534,782,439,590,467,14,722,264,812,235,631,566,759,794,614,146,774,155,19,171,772,428,15
1: 555,578,582,334,651,373,362,798,329,259,562,300,76,391,230,225,655,299,466,636,187,673,360,320,302,201,224,514,358,476,350,195,761,327,326,499,400,668,633,872,737,710,256,669,648,541,503,239,538,877,108,442,137,28,10,310,638,352,532,48,543,603,518,838,862,707,576,684,242,784,799,131,316,511,512,549,600,565,27,738,829,281,714,664,57,172,133,354,851,376,372,696,500,186,158,529,154,81,740,613,62,548,770,181,685,694,884,418,661,550,800,726,771,272,443,49,647,279,377,746,4,881,393,672,53,868,203,811,679,607,52,735,507,139,477,604,533,381,58,67,457,361,215,9,234,540,765,204,699,454,164,179,383,858,105,570,723,437,456,845,126,192,709,627,107,687,246,33,489,493,82,789,496,662,671,733,398,866,620,397,530,409,240,87,417,278,148,563,312,110,267,619,847,25,841,405,219,408,667,559,650,588,313,616,751,844,708,340,254,368,20,419,36,44,441,778,592,865,227,237,121,658,85,505,724,813,421,595,471,729,546,284,674,70,618,558,170,434,579,159,236,435,705,367,304,396,787,143,271,263,273,116,788,315,324,39,818,185,415,744,856,754,348,860,269,191,690,233,736,535,403,481,527,622,66,480,206,220,86,221,173,351,501,136,260,238,80,244,261,460,60,153,200,135,695,74,308,698,321,459,420,250,243,75,831,635,32,825,109,846,504,748,769,288,612,469,387,199,149,867,331,646,883,861,176,43,749,814,458,147,494,777,852,639,1,608,880,478,241,166,763,363,828,283,285,2,502,210,753,704,341,758,385,389,807,837,879,253,177,343,461,8,750,564,601,12,388,697,73,431,404,169,795,438,641,822,700,649,190,716,681,98,654,568,291,585,773,30,248,29,537,581,422,163,182,37,849,720,593,207,218,790,72,198,561,474,245,356,319,424,642,843,40,401,286,5,586,875,295,229,423,645,599,194,779,56,545,45,830,863,357,178,217,448,90,571,805,21,842,427,486,712,498,678,65,17,160,337,134,816,766,407,59,213,792,482,809,63,539,119,727,103,445,760,432,544,536,626,150,732,325,96,739,353,92,249,484,692,606,123,785,183,223,416,801,102,621,878,490,560,344,84,701,165,97,515,706,513,78,660,853,124,77,623,715,382,115,676,79,804,832,375,524,857,713,142,138,451,410,7,653,413,659,339,509,298,487,730,731,157,491,270,231,214,255,347,336,301,567,129,209,617,747,205,68,644,802,130,609,47,855,152,24,717,506,686,721,864,226,823,793,589,276,38,885,596,569,472,89,168,611,188,390,35,118,426,296,88,752,745,806,106,783,768,869,755,819,51,780,355,824,587,675,128,797,874,817,328,111,602,113,743,208,180,873,202,216,379,306,605,262,309,406,34,815,395,556,145,848,122,871,412,528,161,632,359,444,584,366,850,520,54,189,475,140,640,572,629,378,13,228,314,322,786,112,719,663,258,266,734,430,144,521,495,114,485,781,71,463,251,551,447,580,820,332,775,597,703,127,523,222,365,791,497,384,870,464,91,468,317,83,371,323,141,212,290,643,525,125,689,452,446,449,117,120,510,429,274,265,833,630,542,718,3,688,465,691,693,473,470,16,670,268,156,531,41,517,289,682,665,834,577,553,196,796,450,634,275,821,399,394,411,232,174,453,338,742,827,6,526,756,293,610,757,94,349,425,61,46,728,414,836,22,280,711,69,64,680,547,99,11,767,492,826,859,508,882,625,554,333,93,573,31,591,479,277,287,380,101,854,297,575,574,433,197,175,370,162,522,808,252,257,104,374,677,151,23,346,42,455,211,776,702,50,583,369,666,652,330,345,462,335,132,552,725,483,364,303,342,307,598,184,762,100,516,557,835,167,615,683,440,741,18,95,810,839,840,637,764,488,55,386,26,402,282,624,803,193,519,292,876,436,318,305,392,594,657,656,294,628,247,311,439,534,782,590,812,235,14,722,467,264,631,146,19,566,759,614,794,155,774,171,772,428,15
1: 555,578,582,15,334,373,362,651,798,259,329,562,230,300,76,391,655,225,299,466,636,187,302,673,201,320,476,358,514,224,360,195,761,350,326,327,499,668,633,400,872,503,710,737,256,669,648,603,239,541,538,442,108,877,838,532,310,799,28,10,352,638,48,137,518,543,576,862,27,684,565,707,242,316,57,354,694,549,511,784,131,600,738,829,512,714,664,281,172,133,696,181,372,851,376,154,500,158,529,186,740,81,548,613,62,884,685,418,770,661,272,607,550,726,771,49,647,443,800,881,746,4,393,279,811,53,672,868,377,203,52,679,735,381,139,204,533,507,67,604,457,477,9,540,215,58,234,765,699,164,361,383,454,179,858,105,437,723,845,570,126,627,456,192,33,489,687,107,493,82,709,246,789,671,662,398,866,496,417,733,620,397,87,267,530,240,409,110,563,312,419,841,278,148,25,405,847,408,219,619,751,313,650,616,559,667,340,44,844,588,471,708,36,368,254,20,778,441,592,237,788,865,227,724,658,558,505,813,729,121,85,421,595,170,546,284,70,434,618,674,579,435,367,159,396,818,236,787,705,143,263,304,271,191,315,116,273,324,744,415,185,856,754,39,348,233,690,269,860,535,403,481,622,66,736,527,480,206,351,173,501,86,80,260,221,136,220,244,238,135,460,261,60,153,74,200,695,321,308,846,698,250,243,831,75,635,825,459,420,32,109,769,748,387,504,612,288,469,199,149,867,331,749,639,176,646,861,883,458,814,852,43,147,494,777,1,880,608,478,166,241,828,283,763,363,285,341,502,704,210,758,753,385,2,389,837,879,807,8,461,177,253,564,343,750,73,601,697,12,431,388,404,169,438,822,700,190,795,716,681,649,654,641,537,773,291,98,585,568,248,720,30,29,422,849,37,182,163,581,218,207,593,790,198,561,72,474,245,356,319,424,642,843,875,286,40,401,586,5,229,423,295,194,407,645,599,56,863,830,545,45,217,448,357,178,90,571,805,842,21,712,779,427,678,65,17,816,134,486,160,337,498,766,59,213,792,482,809,63,539,103,727,445,760,119,432,536,544,626,150,249,732,325,739,96,353,92,692,484,606,785,123,223,183,416,801,102,878,621,490,560,344,84,701,165,623,515,706,513,660,78,853,124,382,142,715,77,115,676,79,804,375,832,524,713,97,857,138,451,413,7,410,653,487,339,298,509,659,731,730,491,157,270,231,214,336,255,347,301,209,617,567,747,129,802,644,205,68,686,130,855,152,609,47,24,864,721,717,506,823,226,793,589,276,38,885,596,569,168,472,89,611,118,188,35,390,296,88,426,752,745,806,106,783,768,51,755,202,869,780,355,824,587,675,128,797,874,819,602,328,113,111,743,208,817,180,873,216,379,262,605,306,309,406,34,395,556,815,145,848,528,122,871,412,54,632,161,444,584,359,520,850,366,475,189,719,572,640,629,13,378,786,228,322,112,314,140,663,258,266,430,734,521,144,495,485,447,597,114,71,463,251,820,580,551,775,332,781,703,127,523,222,365,791,497,384,870,464,91,468,317,141,83,323,371,290,643,525,212,125,689,452,449,446,117,510,120,429,274,265,833,542,630,718,688,691,465,3,693,473,16,470,670,156,531,517,268,41,682,665,553,577,289,834,196,450,796,634,275,821,399,411,394,174,453,232,338,742,6,827,526,756,293,610,94,61,757,425,349,728,46,414,836,22,280,711,64,69,680,547,99,11,767,492,826,859,508,882,625,554,333,573,591,93,479,31,101,277,287,380,297,575,854,574,433,197,175,370,162,257,522,252,808,677,374,104,151,23,346,42,455,702,211,776,583,369,50,666,652,345,330,462,335,552,725,132,483,364,303,342,100,307,184,598,762,516,167,557,835,615,440,683,741,18,95,810,840,839,764,637,488,55,26,803,386,402,282,624,193,519,292,876,436,318,305,392,594,657,656,294,628,247,311,439,782,534,590,812,235,14,631,146,467,722,19,264,566,759,614,794,155,774,171,772,428
1: 555,578,582,15,334,373,187,798,694,362,651,259,230,329,299,562,326,655,76,225,466,300,391,673,514,302,201,636,320,358,224,476,360,195,668,327,761,503,499,350,603,669,442,633,400,256,737,710,354,872,532,838,799,541,239,108,27,538,648,137,310,877,28,10,565,352,638,576,48,518,57,684,862,242,543,707,664,316,549,131,511,696,281,784,738,186,600,512,829,714,172,133,851,181,154,770,372,548,529,376,740,500,158,272,613,81,62,607,884,661,685,418,550,726,52,800,771,647,49,881,443,746,4,377,279,393,204,811,381,868,203,672,53,164,735,679,533,139,58,507,9,477,457,604,67,540,234,215,361,765,858,383,699,437,489,454,179,105,723,570,456,126,192,845,107,627,687,493,82,671,866,417,246,662,789,398,709,87,267,733,620,471,397,240,530,496,409,419,148,841,563,110,278,405,588,312,408,25,313,847,219,616,751,559,619,650,788,558,667,44,368,778,708,844,340,237,254,36,20,441,592,121,505,865,729,724,658,813,284,227,595,70,421,818,434,85,546,170,367,618,674,396,579,159,435,236,271,705,143,33,191,304,787,263,116,315,273,744,860,324,846,754,66,415,856,690,185,348,501,233,269,535,736,403,481,480,527,622,135,80,260,206,86,173,244,221,351,220,136,238,261,153,460,74,39,60,200,698,308,695,321,250,243,420,75,459,635,831,825,32,387,109,199,769,748,504,612,288,469,458,331,43,149,867,749,883,646,814,639,176,861,852,147,494,777,1,608,828,758,880,478,241,166,763,285,363,502,341,283,210,704,753,807,385,2,461,389,343,837,879,8,564,177,73,697,750,253,601,12,388,431,681,404,822,169,537,438,716,795,190,654,291,700,649,641,773,568,585,98,29,30,37,248,182,720,422,581,163,849,218,561,356,790,207,593,72,319,474,245,249,424,642,843,401,40,198,875,586,229,286,5,423,645,295,194,599,830,217,779,56,863,545,45,357,90,842,21,407,805,571,427,178,712,678,448,134,65,17,160,816,766,486,498,337,59,213,482,809,792,63,445,727,539,103,760,432,150,544,626,119,536,732,325,739,96,692,353,484,92,606,785,123,223,183,416,801,102,878,621,560,490,344,701,84,165,623,515,706,513,78,382,660,853,142,124,715,77,676,115,79,804,375,832,713,97,524,857,138,451,487,413,7,410,509,653,298,339,659,730,731,491,157,686,270,336,214,231,255,347,301,209,129,747,617,721,567,68,802,205,855,864,130,152,609,24,644,717,47,506,793,823,226,168,589,276,596,38,885,569,472,89,88,611,118,390,35,202,188,426,752,745,806,106,783,355,768,296,51,755,824,869,780,587,113,797,675,819,602,128,328,874,111,743,208,873,817,180,216,262,605,379,306,309,406,34,556,528,395,815,145,848,54,122,412,871,632,444,161,359,584,850,520,366,475,189,719,640,786,13,572,629,112,228,378,322,314,140,258,430,266,663,447,521,734,495,71,144,597,485,114,251,703,463,820,580,551,775,781,332,127,365,523,222,791,497,384,870,91,464,468,141,317,323,83,371,290,525,643,212,125,689,452,446,117,449,510,120,429,274,265,833,542,718,688,630,691,3,465,16,693,517,670,473,156,531,470,268,41,834,682,553,665,577,796,450,289,196,275,411,634,821,394,399,174,453,6,338,742,232,827,756,610,61,526,293,94,425,757,728,349,46,414,836,22,280,711,69,64,680,547,99,767,11,859,826,492,625,508,882,554,333,573,591,479,101,93,31,277,287,380,297,575,854,574,433,370,197,162,175,257,522,252,808,374,677,151,104,346,23,42,455,702,211,583,369,776,50,666,652,345,330,335,132,552,725,462,483,303,342,364,307,100,184,598,762,516,167,557,835,615,440,683,840,741,18,95,810,839,803,764,637,26,488,55,386,402,282,624,193,519,292,876,436,318,305,392,594,657,656,294,628,311,247,439,782,566,534,590,235,146,14,812,722,19,264,467,759,631,614,794,774,171,155,772,428
1: 555,578,582,428,15,187,334,798,373,329,362,326,651,299,259,230,562,225,466,76,655,201,514,603,320,636,300,391,354,673,668,442,761,476,503,302,27,327,358,195,137,224,360,799,400,256,499,633,669,350,710,532,737,108,239,664,541,838,872,648,538,877,696,48,310,862,518,565,638,28,186,352,576,684,316,543,607,707,281,549,10,131,242,511,172,154,512,738,784,272,133,714,829,851,376,181,600,57,204,52,770,500,881,740,529,372,548,884,158,418,613,81,62,661,381,800,647,726,685,49,53,550,771,377,443,279,393,746,811,4,164,868,672,679,58,477,139,203,533,735,67,858,540,9,215,361,604,234,507,765,845,627,699,457,107,437,179,383,454,570,489,105,723,192,709,687,471,456,671,246,126,493,841,866,82,87,496,267,417,789,398,662,733,620,846,409,397,530,563,558,788,240,25,148,419,278,616,110,312,847,405,408,619,313,44,219,844,559,778,36,340,588,650,751,254,708,667,368,592,20,865,434,505,658,441,724,284,121,170,237,227,818,813,595,546,421,70,729,579,618,85,674,367,435,304,33,191,860,263,143,159,236,705,273,66,787,396,480,271,324,315,116,415,233,690,744,754,185,856,348,135,260,403,269,80,501,481,736,535,244,527,173,351,622,86,220,221,136,206,308,153,238,698,420,695,261,460,74,200,387,60,39,825,250,321,459,243,32,831,612,635,639,75,109,748,769,288,504,331,469,43,149,494,458,867,749,176,883,199,646,814,608,777,861,852,147,828,291,807,880,753,1,2,502,241,363,283,166,478,763,285,210,341,681,343,758,389,704,8,385,879,837,564,461,177,73,431,601,253,750,12,697,169,404,388,795,700,537,249,773,716,654,438,190,649,401,641,849,822,720,422,98,30,29,585,218,248,581,286,182,245,568,163,356,593,790,207,561,295,474,72,319,424,40,843,586,37,423,645,198,642,229,875,217,150,5,830,863,194,45,56,545,779,357,805,571,842,816,90,599,407,712,427,678,178,21,134,65,160,337,448,59,727,766,213,809,486,792,63,482,17,103,445,539,760,119,432,498,544,626,732,536,325,739,96,353,92,484,692,785,606,123,223,416,183,801,560,490,878,102,621,344,515,701,142,165,84,706,382,513,78,660,623,715,853,676,124,487,77,79,115,804,713,298,832,524,375,413,857,138,451,7,686,97,410,653,659,509,339,730,491,731,214,202,270,157,255,347,231,301,209,129,567,747,721,864,617,68,130,855,205,802,717,152,609,336,168,47,506,24,793,823,226,589,569,38,644,276,885,88,472,89,611,188,35,596,426,390,118,752,745,806,106,783,355,296,113,755,824,51,768,869,780,797,587,819,602,328,675,128,874,743,111,208,180,817,873,54,216,262,605,379,395,528,406,34,309,556,306,145,122,848,815,871,412,632,161,112,786,359,520,640,444,430,366,719,584,475,189,850,572,629,13,228,322,378,140,314,258,266,447,663,703,71,495,734,597,521,114,144,251,580,463,485,551,775,781,820,332,127,523,222,365,791,384,870,497,141,464,317,91,468,323,525,83,371,290,643,125,452,212,689,449,117,446,510,120,429,274,833,265,542,718,3,688,834,465,630,517,268,693,691,16,156,531,553,470,670,682,473,577,41,289,665,450,275,411,196,634,821,796,174,742,232,453,399,338,6,756,394,827,610,61,293,94,526,757,349,425,728,46,836,280,414,22,711,64,547,680,69,492,826,508,99,11,859,767,554,882,333,479,625,573,93,31,277,591,287,380,854,257,433,101,575,297,574,370,197,175,162,522,374,808,252,151,677,104,455,346,702,42,583,776,23,211,50,330,666,335,652,552,725,345,369,132,462,342,483,364,100,307,303,184,516,598,762,167,557,835,615,840,440,683,803,741,95,18,764,839,810,26,488,637,386,55,402,282,624,193,292,519,436,876,305,318,392,311,657,594,656,294,566,247,439,628,782,19,235,534,146,590,14,631,812,722,264,759,614,467,171,774,794,155,772,694
1: 555,578,334,15,428,798,326,373,362,329,603,299,651,230,259,442,562,354,514,225,76,27,201,655,466,673,668,391,300,636,320,761,503,799,476,302,669,195,327,358,360,224,350,256,400,137,499,633,710,532,696,108,239,664,737,838,541,648,538,872,877,48,518,310,607,862,638,186,576,28,565,684,352,543,316,707,281,549,272,10,154,131,242,512,511,784,172,738,133,829,181,57,714,851,52,376,600,204,881,770,500,548,740,418,529,372,884,62,158,613,81,661,800,381,647,726,771,53,550,164,685,49,443,279,746,811,393,4,67,868,672,679,203,477,533,58,139,377,735,858,9,215,540,604,627,361,234,699,489,765,507,437,457,107,454,383,179,570,845,866,471,723,192,709,105,687,671,456,246,841,126,558,493,496,846,417,82,267,788,789,662,733,398,87,409,620,397,530,419,563,25,240,148,616,278,312,408,588,313,405,110,847,219,44,844,559,254,619,340,708,751,778,650,36,368,667,592,284,237,505,20,818,865,658,441,121,724,434,170,813,227,546,674,421,595,729,579,70,618,85,435,480,367,33,191,304,143,705,263,236,860,159,273,271,396,66,324,787,116,315,415,744,185,690,135,754,233,856,348,260,244,403,501,269,736,535,527,80,481,173,86,622,220,351,221,206,153,136,695,698,420,308,238,261,460,74,200,321,387,39,250,60,243,825,32,459,831,635,639,75,769,612,109,331,504,288,43,748,469,458,749,149,867,176,199,494,883,646,777,814,852,828,291,608,807,147,861,2,753,880,758,1,241,502,166,763,478,363,285,341,283,343,210,681,389,704,385,8,177,879,249,564,837,431,73,601,461,253,795,12,750,404,388,169,697,773,537,700,438,401,649,654,190,822,716,641,422,720,585,30,849,98,29,561,218,568,248,182,163,581,593,245,286,356,790,207,72,295,319,474,37,843,40,424,586,423,642,198,217,150,645,229,875,830,5,863,194,45,56,407,357,545,816,805,571,90,842,712,779,178,427,678,134,65,337,21,599,160,119,59,766,213,727,17,486,792,63,482,809,448,539,103,445,760,432,544,498,626,732,536,739,325,353,96,692,92,484,785,606,490,223,416,123,183,801,560,102,878,621,344,515,701,142,165,84,706,382,513,78,623,715,660,853,676,487,124,77,79,115,713,298,804,832,524,413,375,857,686,451,138,7,97,410,659,653,509,339,730,491,214,270,202,731,157,255,347,231,301,209,864,617,129,721,567,747,68,855,205,130,717,168,802,152,336,609,47,506,24,793,823,226,569,589,38,644,276,885,88,472,89,611,426,188,596,35,118,390,752,745,806,106,355,783,296,113,755,768,51,824,869,780,587,797,819,602,675,328,874,128,743,111,208,54,817,180,873,605,216,262,528,379,395,406,34,556,309,306,145,848,122,112,815,871,632,786,412,359,161,640,430,520,444,366,719,572,584,475,13,850,189,629,228,703,597,314,322,378,447,258,266,663,71,521,140,495,734,114,144,251,485,580,463,551,781,775,820,332,127,523,365,222,791,384,497,870,141,464,317,91,323,468,525,83,290,371,643,125,452,212,449,117,689,446,510,120,429,274,833,265,718,834,542,3,630,688,517,465,693,156,531,691,16,268,682,470,553,670,577,275,473,450,289,41,665,411,196,634,399,821,174,796,453,742,232,338,6,610,756,61,394,827,94,293,526,757,349,425,728,46,280,836,22,414,547,711,64,69,680,826,492,859,508,99,11,767,554,882,625,479,333,573,277,93,31,591,257,287,380,575,433,297,574,370,101,854,197,175,162,374,522,808,252,151,104,677,455,702,346,583,42,776,23,211,50,330,345,369,666,552,725,335,132,652,342,462,483,364,303,100,307,184,762,598,516,557,803,167,835,615,840,440,683,741,95,18,764,839,26,488,810,637,386,55,402,282,624,193,292,519,436,876,305,318,566,392,657,311,594,656,294,247,439,628,146,235,782,19,631,590,14,534,812,722,759,264,614,171,467,774,794,155,772,694,582,187
1: 555,578,582,334,603,15,428,326,798,442,362,373,299,329,651,230,27,354,514,259,562,225,655,201,76,466,668,799,300,696,391,636,673,320,761,302,607,476,503,360,358,327,195,256,350,137,710,224,532,633,499,400,664,239,108,669,648,877,541,737,872,538,186,838,518,565,48,310,576,272,638,862,28,543,352,684,549,316,707,154,281,57,204,10,242,131,52,511,829,784,172,738,512,133,181,714,851,376,600,881,770,500,548,418,740,529,62,372,81,884,158,661,613,800,53,647,550,726,685,771,377,49,381,443,279,746,393,164,4,811,868,672,679,477,58,203,9,533,67,139,735,858,627,215,540,234,361,699,489,765,604,507,107,471,457,454,383,437,846,866,179,570,709,723,192,845,558,105,687,456,493,841,788,246,671,267,126,496,417,82,789,398,419,662,733,409,620,530,563,87,397,25,240,616,405,148,313,408,588,312,278,44,110,219,847,368,844,254,619,708,340,36,559,650,778,667,592,284,237,818,751,20,505,865,658,441,191,121,724,227,421,546,813,170,434,674,595,70,435,579,618,860,480,33,729,367,85,66,143,236,304,705,263,324,159,273,271,315,787,135,116,185,415,396,233,754,744,690,856,348,501,244,736,403,260,535,269,80,527,622,481,173,220,351,221,86,206,420,153,136,698,261,308,695,238,387,460,39,321,74,200,250,825,459,243,639,32,60,831,331,635,769,612,75,109,249,288,748,504,458,469,749,149,43,867,494,176,883,2,814,828,199,777,646,852,807,608,147,861,753,291,763,880,1,502,478,241,363,166,341,758,285,681,343,210,879,177,704,8,283,385,389,564,253,837,601,431,750,73,404,12,388,795,169,537,461,773,401,438,700,716,649,697,654,98,190,422,585,30,641,29,849,720,822,218,182,568,248,163,581,245,561,593,356,72,790,207,319,424,286,295,474,40,843,586,423,645,642,739,37,198,229,875,194,830,5,863,45,150,56,357,545,816,805,571,407,178,337,134,427,90,678,65,599,119,842,712,21,160,766,213,727,59,779,17,792,63,482,486,103,760,448,539,445,809,432,544,498,626,732,536,217,353,325,96,692,92,490,484,785,606,223,416,123,560,801,183,102,878,621,344,515,142,701,165,84,706,513,382,623,78,715,487,676,660,853,124,77,115,79,713,298,413,804,524,832,375,686,857,451,138,7,202,653,659,410,339,509,730,214,731,491,97,270,255,157,347,231,209,301,864,617,855,721,567,747,129,717,68,205,168,130,152,802,336,609,47,793,24,506,823,569,226,589,644,38,276,88,885,472,89,611,426,596,35,118,390,188,752,745,806,106,113,355,296,783,755,51,824,768,869,780,587,797,819,602,54,675,328,874,605,743,128,817,111,208,528,873,180,262,216,379,406,34,395,309,556,306,145,122,848,112,632,786,815,871,412,430,161,640,520,359,444,719,703,366,584,572,13,850,475,189,629,597,228,447,322,314,378,258,266,71,663,521,140,734,495,114,251,144,485,580,551,463,781,775,820,332,127,523,365,222,791,141,384,497,870,317,91,464,323,468,525,83,371,290,643,212,125,452,117,449,689,510,446,120,429,274,833,718,265,834,542,3,688,517,630,465,693,156,531,268,275,691,682,470,16,553,670,473,577,450,289,411,665,196,41,634,821,796,174,399,453,742,338,232,61,6,610,756,394,827,94,293,757,526,349,425,728,46,280,836,547,414,22,64,711,69,680,826,859,492,99,508,11,767,554,625,882,479,333,257,573,277,93,31,591,287,380,433,370,574,297,854,575,197,101,162,522,374,808,175,252,151,104,677,455,702,346,583,42,776,23,211,50,330,345,335,369,552,100,666,132,652,342,462,803,483,725,303,364,307,184,598,762,516,167,557,840,835,615,440,683,741,95,18,764,839,26,488,810,637,386,55,402,282,624,193,292,519,436,876,566,318,305,392,657,311,594,656,294,439,247,146,19,628,235,631,782,534,14,590,812,614,759,722,264,171,694,467,774,794,155,772,187
1: 555,578,582,334,603,428,15,326,442,798,230,362,299,373,696,329,27,799,651,514,259,354,562,201,225,655,607,391,76,300,636,466,673,320,302,476,668,360,503,761,195,327,358,532,565,350,137,256,664,224,400,710,633,499,186,669,648,239,108,541,518,737,838,872,877,272,538,204,310,48,638,862,28,543,352,576,684,281,316,549,154,57,52,707,242,10,784,511,738,133,829,512,172,131,181,714,881,376,851,770,600,418,548,500,740,372,529,62,884,158,661,800,81,613,53,647,550,381,771,726,164,49,685,443,279,746,377,393,811,4,868,58,477,627,672,679,67,203,533,735,858,9,139,215,540,489,361,699,471,107,234,765,507,604,457,846,866,437,179,454,383,570,558,687,845,723,192,788,709,105,246,493,456,419,126,496,267,417,841,82,733,671,789,398,662,409,313,616,620,25,87,240,530,397,148,563,312,588,405,408,278,44,110,219,847,844,708,368,619,254,818,36,559,340,650,778,284,667,237,592,751,20,505,865,724,191,441,658,121,227,421,813,170,729,546,674,860,595,70,579,435,33,618,367,480,85,66,236,271,434,304,143,705,263,159,324,315,273,135,116,396,415,233,185,787,744,690,754,501,856,535,348,244,736,403,260,622,80,527,269,173,481,351,220,86,221,420,206,387,261,698,153,136,308,695,238,39,460,321,74,200,250,60,825,459,243,32,831,331,769,635,612,75,249,748,109,504,288,458,469,749,149,291,176,867,494,2,883,777,814,828,43,852,807,646,608,147,861,753,639,285,363,502,1,880,763,166,478,199,241,341,343,210,681,879,177,758,704,8,385,389,564,431,253,73,837,283,601,404,750,12,388,795,169,461,401,773,537,438,98,716,700,697,654,190,649,585,641,849,29,561,30,422,568,720,218,163,822,248,182,581,245,356,593,474,207,286,424,790,40,72,295,319,586,843,739,37,645,423,642,198,194,875,830,229,863,150,5,56,45,816,357,178,545,119,805,571,134,337,427,599,678,407,842,90,65,712,21,160,727,766,779,59,213,17,792,482,63,760,445,539,103,809,486,448,432,544,626,536,732,217,498,490,353,325,96,92,692,484,785,606,416,223,123,801,560,183,102,878,621,344,142,515,701,165,84,706,513,382,487,202,715,676,78,660,853,124,77,686,115,713,623,413,79,804,524,832,375,857,451,138,7,298,653,410,659,339,509,730,214,270,491,97,731,255,157,347,231,209,168,864,301,617,721,855,747,129,567,68,717,205,130,152,609,644,802,793,47,24,506,823,569,226,38,336,589,88,276,885,472,89,611,596,118,426,35,188,390,752,745,806,106,113,296,355,783,824,51,755,768,869,780,587,819,54,602,797,328,675,874,605,128,528,817,743,111,208,873,180,262,216,379,406,34,395,309,556,306,786,112,703,122,632,145,848,871,815,412,430,520,161,640,444,719,359,13,572,584,366,850,189,475,447,597,629,228,322,314,378,258,266,71,663,521,140,734,495,114,144,251,485,580,775,463,781,820,551,332,127,523,365,222,791,141,497,384,870,317,91,323,464,525,468,371,83,290,643,452,212,125,117,510,449,689,120,446,429,834,274,718,833,265,3,542,688,517,630,465,275,156,531,691,268,553,693,682,16,470,670,577,473,450,289,411,41,665,196,821,634,796,399,453,174,6,610,742,338,61,232,756,827,94,394,293,757,526,349,425,728,46,280,547,22,836,414,64,711,69,826,859,680,99,492,11,508,767,554,625,479,882,333,257,573,277,287,31,591,93,380,433,370,574,297,575,197,854,101,162,374,803,808,522,252,151,175,702,104,677,455,583,346,42,23,776,345,211,50,330,335,552,100,369,132,666,652,342,462,483,725,364,307,303,516,184,598,762,167,840,557,835,440,615,683,741,95,18,764,26,839,488,810,637,386,55,402,282,624,193,292,436,876,519,566,318,305,392,657,311,594,656,439,294,146,247,19,628,235,631,782,812,14,534,590,614,759,694,264,171,722,774,467,794,155,772,187
1: 555,772,334,603,428,799,696,15,442,607,326,230,798,373,329,362,27,299,354,201,651,565,562,514,259,76,225,655,391,636,466,300,673,320,668,532,664,327,476,302,195,503,761,669,358,360,400,186,256,350,710,137,499,633,204,224,518,239,648,578,108,541,737,272,872,48,877,538,862,310,512,638,154,52,352,549,707,543,548,316,133,576,684,28,281,242,172,881,131,57,181,770,376,381,738,10,784,851,511,838,714,829,418,62,600,500,740,372,884,164,529,81,53,158,647,661,771,800,726,613,279,550,443,49,377,685,393,746,627,58,477,811,4,489,868,858,735,533,679,471,672,139,215,361,67,866,107,540,699,234,203,9,765,179,457,846,604,507,383,788,437,454,558,845,570,709,192,246,687,723,105,419,493,662,456,417,616,733,126,496,671,841,267,82,398,789,409,397,87,240,25,530,620,313,588,148,563,312,847,405,278,110,44,408,844,619,708,751,818,254,219,650,368,340,36,667,778,284,559,592,505,20,170,724,121,865,441,658,70,191,227,421,595,579,813,860,435,546,33,237,618,480,674,271,85,233,273,159,729,304,367,66,143,236,315,263,324,434,705,415,116,754,244,135,690,396,185,744,535,856,348,80,403,736,501,787,527,481,260,269,173,221,220,622,351,86,698,153,387,136,261,238,695,420,308,206,321,74,460,60,459,825,200,39,32,243,250,831,769,331,612,288,249,635,458,748,75,504,749,469,807,109,149,608,176,852,777,828,291,867,494,646,2,883,814,147,639,285,861,363,502,880,753,166,343,43,1,177,763,241,341,478,199,8,389,210,879,431,385,704,564,758,795,681,401,73,601,253,404,283,837,773,169,388,750,537,12,461,700,716,720,98,654,649,561,29,422,641,190,849,585,30,438,218,697,245,248,182,790,568,163,593,822,295,581,207,40,319,424,474,356,586,739,286,72,843,423,642,645,863,875,830,229,150,194,198,5,816,56,45,37,357,134,805,545,178,727,678,119,337,599,59,571,427,65,407,712,160,90,842,766,21,17,213,63,760,445,792,539,779,482,103,486,809,432,490,448,626,544,732,217,498,536,96,353,325,692,484,92,785,223,202,606,123,801,183,560,102,621,878,416,515,344,701,84,165,513,706,382,487,142,715,686,676,78,853,660,413,124,115,713,623,77,79,524,832,804,375,857,138,451,7,298,509,653,659,410,339,730,731,214,270,97,491,168,864,255,347,157,209,301,231,721,617,855,747,567,717,68,130,129,205,644,152,609,793,47,506,802,24,569,823,226,336,38,589,88,276,885,472,89,611,596,118,426,188,35,390,745,113,752,355,806,296,106,783,54,824,755,869,768,51,780,819,602,587,528,605,797,675,328,874,34,128,743,111,180,262,208,873,216,406,817,379,395,556,309,112,786,703,306,122,632,848,145,871,640,161,815,520,430,412,13,719,359,572,189,366,444,584,447,850,475,597,629,314,228,322,378,258,266,663,521,71,140,734,114,495,144,251,485,580,463,781,820,332,775,551,523,127,365,141,222,791,497,384,870,317,91,323,464,468,371,525,290,83,643,452,510,125,117,212,449,120,689,446,834,429,274,833,718,517,265,3,542,465,688,682,156,531,275,553,670,630,268,470,693,691,411,16,450,577,473,289,796,6,634,665,821,742,196,453,174,41,610,61,338,756,232,399,394,94,827,293,349,526,757,425,728,46,280,803,22,547,836,64,711,826,414,859,508,69,492,99,680,554,11,767,479,625,882,257,333,277,31,573,93,574,287,433,380,101,575,297,197,370,591,854,374,252,808,162,522,151,175,702,42,455,104,583,677,346,776,23,211,50,345,552,100,330,369,335,132,652,342,303,725,666,462,307,364,483,840,516,184,598,762,167,557,440,835,615,95,741,683,18,26,764,839,488,810,637,55,386,402,282,566,624,292,193,436,876,519,305,318,392,657,311,594,439,656,146,294,247,631,19,235,628,782,590,14,534,812,694,614,759,171,722,774,264,467,794,187,155,582
1: 555,772,603,799,334,607,696,442,230,15,428,326,27,798,362,373,329,354,299,651,201,565,514,259,562,76,655,225,466,391,636,664,668,300,204,320,673,302,761,532,327,476,669,195,503,400,256,358,186,360,350,137,499,710,633,239,224,518,578,648,541,52,108,737,272,48,872,538,548,877,154,862,310,638,352,707,316,512,543,549,281,576,133,684,881,28,172,838,242,131,770,381,181,851,738,511,376,784,57,829,10,714,600,62,418,372,500,164,740,529,884,81,158,647,661,53,800,771,550,726,279,613,443,377,49,627,685,746,393,58,471,866,489,477,811,4,858,868,533,735,679,672,139,67,699,215,361,107,788,234,203,765,540,846,9,457,437,383,507,604,454,179,558,570,192,723,246,687,419,709,105,456,126,662,493,267,616,733,845,417,82,841,496,409,789,398,397,671,530,240,25,313,620,87,563,148,847,312,44,110,405,818,278,751,408,708,844,219,254,667,619,368,650,340,778,36,284,592,505,559,121,588,20,170,724,227,421,441,237,70,860,595,813,865,579,658,546,435,33,191,618,480,674,271,273,85,304,729,233,159,66,143,236,315,754,434,244,324,415,705,263,367,116,396,135,535,690,744,856,185,348,80,403,501,260,736,527,787,481,173,269,387,221,351,220,153,698,86,136,695,238,622,308,261,206,460,321,74,60,420,200,459,825,32,250,243,831,331,458,769,249,288,635,612,748,75,749,504,39,807,469,109,149,828,639,176,2,852,777,608,494,867,646,883,43,814,147,285,861,502,363,166,758,880,763,343,1,177,241,341,478,199,879,389,8,385,753,210,704,681,283,431,795,564,401,773,73,404,537,461,601,253,169,837,750,388,716,561,12,700,720,98,649,654,697,29,422,641,218,849,585,291,190,30,438,163,245,248,822,182,568,790,593,295,581,40,424,319,474,739,286,356,586,207,843,72,423,875,642,863,150,645,194,229,830,198,5,56,119,45,816,357,545,805,178,134,37,678,337,727,59,571,65,490,427,599,712,160,90,842,766,407,21,17,213,445,63,760,792,103,539,482,809,486,432,448,779,626,544,732,217,536,498,353,96,692,325,92,484,785,202,223,606,123,801,183,102,560,621,878,416,344,515,701,84,165,706,513,382,487,623,686,78,715,853,660,413,115,676,124,713,142,77,79,524,832,804,375,857,138,451,298,7,509,653,659,339,410,730,168,270,97,731,214,864,491,255,209,157,347,301,231,721,617,717,747,567,855,68,130,205,793,644,129,152,609,47,506,802,569,24,823,336,226,88,38,589,276,885,472,89,611,596,118,426,35,188,390,113,745,752,355,296,806,106,783,54,755,824,768,869,51,34,780,528,675,587,605,602,797,874,328,128,819,111,743,262,180,208,873,216,406,817,379,703,556,786,306,112,309,848,145,632,122,640,395,13,520,871,161,412,815,447,719,189,366,850,584,475,572,444,359,629,597,430,314,228,378,322,266,663,258,521,140,734,71,114,495,144,485,251,580,820,463,332,775,551,365,523,141,127,781,222,791,497,870,384,91,317,323,464,371,468,290,83,452,643,525,510,125,117,212,449,834,120,446,689,429,274,517,718,833,265,3,465,682,275,688,156,531,542,553,630,268,470,670,803,411,693,691,450,16,577,473,6,796,289,634,61,665,821,453,742,196,610,174,41,338,756,232,399,94,394,827,293,349,526,757,425,728,280,46,22,547,836,64,711,826,859,414,69,508,492,99,680,11,554,767,479,257,625,882,333,277,31,573,287,574,380,433,93,101,370,575,297,197,591,854,252,374,808,702,162,522,151,175,42,455,583,104,677,346,776,23,345,50,330,552,725,211,840,369,335,342,652,132,100,303,462,666,307,364,483,516,184,598,762,167,557,440,835,615,95,741,683,18,26,839,764,488,637,810,55,386,566,282,402,624,193,292,436,876,519,318,305,392,657,594,311,439,146,656,294,247,19,631,235,782,628,694,590,14,614,812,534,759,171,264,774,722,467,187,794,155,582
1: 555,772,799,603,696,334,607,442,326,15,428,230,27,354,565,798,362,329,299,373,651,514,201,259,562,655,76,391,466,225,669,636,664,503,532,204,300,302,673,320,137,327,476,195,761,186,256,400,668,360,358,648,499,633,710,350,224,578,239,108,52,272,518,541,872,48,57,538,877,737,154,310,862,638,352,548,316,549,543,576,707,281,684,381,133,28,512,881,242,172,131,770,181,851,784,738,511,838,376,829,10,866,714,740,600,372,62,164,529,418,500,158,884,81,647,771,800,661,550,53,613,279,443,377,726,627,49,477,471,685,846,746,393,58,811,858,4,868,735,679,489,533,672,139,788,699,215,361,9,203,107,67,765,234,540,457,558,437,454,179,507,383,604,570,192,723,687,419,246,662,709,105,456,616,126,267,733,845,493,82,417,789,398,409,496,397,87,240,530,841,313,25,620,671,312,818,405,563,44,148,110,847,278,751,408,708,844,219,254,588,667,650,368,36,778,340,121,284,592,505,619,559,20,170,724,70,227,813,421,441,595,480,865,579,33,237,658,546,674,860,618,435,233,191,244,271,273,85,66,304,159,143,729,367,236,315,754,263,324,705,415,434,116,535,856,690,135,744,185,348,527,396,80,736,403,260,387,481,173,787,501,269,221,351,220,153,698,86,136,622,695,308,238,261,206,321,74,420,60,458,460,825,200,32,459,250,243,249,831,769,288,612,75,331,748,635,504,807,749,469,2,109,852,828,639,176,149,777,608,494,867,43,883,646,814,147,285,861,363,502,39,880,343,166,1,177,241,478,763,758,879,341,389,8,210,681,753,199,704,385,431,73,564,773,401,253,283,537,795,404,716,601,837,561,388,750,169,12,700,461,98,720,649,654,585,422,29,849,697,218,30,641,163,190,438,245,568,291,593,295,182,790,248,581,40,424,739,822,319,843,474,207,356,423,586,72,286,875,642,863,645,194,229,198,830,490,5,357,56,805,45,178,545,134,150,816,337,678,727,571,119,59,599,427,65,712,160,90,842,37,766,213,21,17,407,760,486,445,63,792,539,809,103,482,432,779,626,448,544,217,536,732,498,353,96,692,92,325,484,202,785,223,606,123,801,183,102,560,621,416,878,344,515,701,84,165,706,513,382,487,623,686,78,715,853,660,413,115,676,713,142,124,77,79,524,832,375,804,857,451,138,298,7,509,653,339,168,659,730,410,864,97,214,270,731,491,255,209,347,157,617,721,301,231,717,855,747,567,68,130,205,644,793,152,129,609,47,506,569,802,24,823,336,226,88,38,589,276,885,472,89,611,596,118,426,35,188,390,113,745,752,355,296,806,106,783,54,755,824,528,768,869,34,605,51,780,587,602,675,262,797,874,328,819,128,743,111,180,208,873,216,406,817,379,703,786,112,556,306,309,145,632,848,122,395,13,640,412,871,850,161,447,719,520,815,189,366,572,475,584,430,359,597,444,629,314,228,378,322,266,663,258,521,140,734,71,495,114,144,485,251,580,463,820,332,775,141,365,523,551,127,781,222,791,497,384,870,91,317,323,464,371,468,290,83,452,643,510,525,803,117,125,212,449,446,834,120,689,429,274,718,517,833,265,553,682,3,465,156,531,275,542,688,411,630,670,470,268,691,693,450,16,577,473,6,289,796,61,665,634,453,821,742,196,174,41,610,338,756,232,94,399,394,827,293,349,526,425,757,280,728,46,22,547,836,711,64,826,859,414,492,69,11,99,680,508,257,554,479,767,625,882,333,31,277,573,101,380,433,287,574,93,297,575,197,370,591,374,854,252,702,808,522,162,151,175,42,583,455,104,677,840,346,776,23,345,330,50,552,100,211,369,342,335,132,652,516,303,462,666,307,483,364,725,184,598,762,167,440,557,835,615,95,741,683,18,26,839,764,488,637,810,55,566,386,657,402,624,292,193,436,876,519,318,305,392,282,311,146,439,594,656,294,247,19,631,235,694,614,782,628,14,590,812,759,534,171,264,774,722,187,467,794,155,582
1: 555,607,696,582,326,334,442,772,230,565,354,15,27,428,362,798,329,373,299,651,201,204,532,655,503,514,259,636,76,664,673,562,466,300,391,225,669,186,761,327,320,302,195,476,52,358,137,272,256,400,648,360,224,499,541,578,668,108,239,710,633,518,350,877,862,48,872,538,154,737,638,866,316,548,881,310,352,549,707,381,576,543,172,512,133,281,28,684,181,851,829,784,511,376,57,738,131,242,714,10,770,158,62,418,838,740,372,529,500,600,884,164,647,661,53,81,771,627,471,443,279,613,477,58,49,858,550,726,800,788,393,685,811,746,4,107,868,846,533,672,735,9,215,679,139,361,203,377,699,558,540,234,765,437,457,570,179,489,454,507,383,604,192,723,67,687,246,616,709,105,456,662,267,493,733,126,82,417,409,398,789,397,419,25,496,818,530,620,240,845,847,44,841,312,708,844,405,563,313,110,278,148,284,408,36,751,671,650,121,219,254,778,368,340,667,87,20,592,170,559,480,505,619,227,813,724,595,70,441,860,33,588,271,546,658,421,618,865,579,674,85,237,244,435,233,273,66,367,143,191,304,159,263,754,315,236,324,434,415,705,135,116,535,690,185,348,744,729,856,173,481,527,80,260,736,403,387,396,787,269,220,86,351,221,153,308,501,698,695,136,238,458,60,321,622,206,261,74,459,825,460,200,32,250,420,831,243,288,2,612,769,75,807,504,249,331,852,748,635,828,639,469,109,176,149,749,777,867,43,147,608,883,494,646,285,814,39,502,861,363,763,880,166,241,1,343,758,431,177,478,8,879,210,341,389,199,704,753,385,681,401,795,73,561,253,537,564,773,169,404,283,601,750,716,837,388,461,12,700,720,654,98,422,29,697,190,649,585,245,218,849,30,291,593,641,40,163,790,438,295,581,248,568,739,822,182,319,424,843,474,423,207,356,286,586,72,645,642,194,875,863,198,490,229,830,5,357,337,134,56,805,150,545,45,816,727,678,178,119,712,90,427,571,65,842,599,59,160,63,213,486,766,809,407,21,760,17,445,37,539,103,482,432,792,779,626,544,202,448,732,353,536,498,96,692,223,92,217,484,325,785,606,801,183,123,560,102,621,623,344,515,878,686,701,84,165,513,487,382,706,416,78,413,853,715,660,115,676,713,298,124,77,524,79,832,375,804,857,451,138,142,7,168,653,509,659,339,730,410,864,97,731,214,270,491,209,347,255,157,721,717,301,617,855,231,567,747,130,68,793,644,205,152,569,129,47,609,506,24,823,226,336,88,802,589,38,276,885,472,89,118,596,611,426,188,35,390,113,355,745,752,296,54,806,106,783,528,755,605,262,768,34,51,824,869,780,602,675,587,874,797,328,819,111,128,180,743,208,703,873,216,406,817,786,379,112,556,306,309,13,632,145,640,848,122,395,447,412,871,850,815,597,161,520,189,366,572,584,359,475,430,719,629,314,444,228,378,322,266,663,258,521,140,734,71,114,495,144,485,251,580,463,781,332,820,775,141,803,365,523,127,551,791,222,870,384,317,91,323,464,497,371,468,452,643,290,83,510,525,117,449,125,212,120,446,689,834,429,517,718,274,833,265,275,682,553,3,156,531,465,630,542,691,411,268,670,470,693,450,688,577,16,473,6,796,289,742,665,61,453,634,821,174,610,196,41,756,399,338,94,232,394,827,349,293,757,425,526,280,728,46,547,22,859,836,826,64,711,257,492,508,11,414,680,99,69,479,554,767,625,882,333,277,31,380,574,374,287,840,573,297,591,93,101,197,575,433,370,854,252,808,702,522,151,162,455,583,42,175,677,346,104,776,23,50,552,100,330,345,211,369,342,335,132,516,462,303,652,307,666,364,483,725,184,598,762,167,440,557,615,835,95,741,683,26,18,764,839,566,488,637,810,55,386,657,402,624,292,193,436,876,519,318,305,392,146,282,311,439,594,656,294,19,631,694,247,235,614,782,812,14,590,628,759,171,534,722,774,264,187,794,467,799,155,603
1: 555,607,696,582,326,772,230,565,334,354,15,442,27,428,798,362,329,204,373,299,651,201,532,503,259,514,655,636,664,562,186,76,673,466,761,300,669,225,391,327,320,866,302,195,52,137,476,648,272,256,358,400,360,224,499,578,668,541,710,239,108,633,877,518,350,48,862,737,881,872,538,154,638,352,316,549,381,707,310,576,543,133,548,172,28,684,281,511,851,242,181,784,57,376,131,829,738,770,714,10,158,512,62,627,740,372,600,471,500,838,529,418,884,53,81,661,647,443,771,164,477,279,613,788,858,58,49,846,726,550,685,811,393,746,4,868,107,9,672,533,735,679,139,361,215,800,203,558,765,540,699,234,457,437,179,570,489,454,507,383,604,192,616,377,687,246,723,709,662,105,456,417,493,67,733,267,82,126,398,818,409,419,25,397,789,530,44,240,620,496,841,405,847,312,845,708,313,844,563,110,284,278,148,36,87,751,778,408,650,121,368,219,254,667,340,671,20,592,480,505,170,559,619,227,813,70,860,724,595,658,33,588,271,618,865,421,441,66,546,579,674,237,85,367,435,233,244,273,191,143,159,754,263,135,304,535,236,729,315,705,415,116,324,185,690,744,434,856,80,348,173,481,527,736,403,396,787,387,260,269,220,221,501,86,458,351,153,238,698,308,695,249,136,321,206,261,74,60,825,459,831,622,200,2,250,32,460,243,288,420,769,807,331,612,75,852,504,748,635,828,639,469,176,109,149,867,777,749,147,43,883,608,285,646,494,814,758,502,861,431,363,241,1,199,166,343,177,478,763,880,8,879,210,39,341,795,389,385,704,753,73,401,291,537,253,681,564,773,283,404,169,837,601,750,716,720,461,388,12,700,654,98,422,697,29,190,585,649,245,30,849,490,593,163,438,790,40,295,641,581,218,568,739,561,248,182,319,424,843,207,356,586,423,72,474,645,642,194,863,198,875,286,337,830,229,5,357,134,56,822,805,545,45,816,678,727,178,150,90,712,427,599,59,65,119,571,809,842,160,486,21,213,37,766,17,760,63,407,482,445,539,103,432,792,779,626,544,202,448,536,732,498,353,96,692,325,484,217,785,92,223,606,801,560,183,102,123,621,623,878,515,344,686,487,382,701,513,84,165,706,416,78,413,715,853,660,115,676,713,298,124,77,524,79,375,832,804,857,451,138,142,7,168,509,653,339,730,659,410,97,864,731,214,270,491,209,347,157,717,721,255,855,301,231,617,567,747,793,130,68,644,205,152,569,129,609,88,24,47,506,823,336,226,802,589,38,885,276,89,472,596,118,611,426,35,188,390,54,113,745,752,296,355,806,106,783,528,262,605,755,768,34,51,824,869,602,675,780,587,874,797,703,819,328,111,180,128,743,208,873,406,817,786,216,112,379,556,306,309,13,632,640,848,145,122,395,447,412,850,871,161,597,815,520,189,584,366,572,475,359,430,719,629,228,444,314,378,322,803,266,663,258,140,521,734,71,114,495,144,485,251,580,781,463,141,775,332,820,551,365,523,127,222,791,384,870,317,91,323,497,464,371,452,468,290,643,83,510,525,718,449,125,212,120,446,689,429,834,274,117,517,275,833,265,553,3,156,531,682,465,630,542,411,693,470,268,670,688,450,691,16,577,473,6,61,289,742,796,665,453,610,634,821,41,174,196,399,756,338,94,232,394,827,349,293,757,425,280,728,526,46,547,22,257,859,826,711,64,836,11,492,508,414,680,99,69,479,554,767,882,625,333,840,277,380,31,374,101,574,573,287,591,370,297,197,93,433,575,854,252,702,808,162,522,151,455,583,42,677,175,346,104,776,23,50,552,100,330,345,369,211,342,335,132,516,303,652,462,666,483,307,725,364,184,598,762,440,167,557,615,835,95,741,683,26,18,764,566,839,488,637,810,55,386,657,402,624,292,193,436,876,519,318,146,305,392,439,282,311,594,19,656,694,294,235,631,247,614,812,14,782,590,759,534,171,774,628,187,722,264,794,799,467,155,603
1: 555,155,696,582,326,565,334,354,230,772,442,15,27,798,428,329,362,373,299,651,204,201,186,503,532,514,866,259,664,761,655,562,673,636,669,52,76,391,300,327,466,272,225,320,195,137,302,648,476,358,108,256,400,578,668,239,499,224,360,541,877,633,710,881,518,154,381,350,48,862,872,549,538,737,316,638,352,707,576,310,543,133,172,28,181,684,511,131,851,548,770,376,281,829,242,784,714,471,738,846,10,627,62,158,884,529,740,500,512,53,600,372,418,661,647,788,81,613,57,771,477,279,443,58,858,838,49,550,726,685,393,746,811,107,164,868,4,9,533,679,672,139,735,215,361,489,558,540,203,765,234,437,699,457,570,179,800,454,604,507,383,246,687,377,192,417,616,723,662,709,105,67,456,267,818,493,733,82,126,530,398,409,25,397,789,240,841,44,419,620,496,405,284,844,845,708,312,847,110,313,148,563,278,87,778,36,368,408,751,121,650,254,671,340,219,667,480,592,20,170,619,505,227,860,66,559,813,33,588,70,658,724,674,865,271,618,421,237,441,595,546,579,233,367,434,85,273,435,244,135,754,159,729,263,143,535,236,304,324,315,191,705,185,415,116,690,744,80,527,856,173,396,348,481,787,736,403,220,260,387,501,269,221,458,86,351,153,698,238,695,249,136,308,321,60,261,2,459,206,825,420,74,200,831,32,250,460,288,622,243,331,612,75,769,807,852,504,828,639,748,109,176,469,635,749,149,883,43,147,867,777,608,285,758,494,814,646,431,861,502,177,763,199,241,363,1,343,880,166,879,478,210,39,8,389,385,795,341,73,681,291,704,753,537,401,564,837,283,404,253,773,169,716,750,720,388,461,601,654,12,700,190,422,490,29,649,245,98,849,585,593,697,790,30,295,438,641,218,163,581,568,739,561,248,40,182,207,319,424,843,586,423,356,474,72,863,645,194,642,337,286,357,830,875,198,5,229,56,134,150,805,545,727,45,816,822,712,178,59,486,809,678,90,427,119,65,571,599,842,407,160,213,760,21,539,17,37,63,766,482,103,445,432,792,779,626,202,536,544,732,448,353,498,692,96,484,223,217,325,92,785,606,801,560,183,123,102,686,623,515,621,878,344,487,382,701,84,513,706,165,298,78,413,715,853,660,115,676,713,416,124,524,77,79,832,375,804,857,168,142,451,138,7,509,653,339,659,730,97,864,410,731,214,270,491,209,717,347,157,721,255,617,855,301,231,793,567,130,747,152,644,68,205,569,129,88,609,24,47,506,226,336,823,802,589,38,885,276,89,472,596,611,118,54,426,35,188,390,113,355,745,296,752,262,106,806,783,528,605,755,824,34,768,51,869,780,602,675,587,703,874,817,797,180,328,128,111,743,208,873,786,406,819,112,216,379,556,306,309,13,632,447,640,848,803,145,122,412,395,871,520,597,815,161,850,572,189,366,584,475,430,359,719,629,228,314,444,322,378,266,663,521,140,734,258,71,495,114,144,141,485,251,580,781,463,775,332,820,551,365,523,127,222,791,870,384,317,91,323,464,497,371,452,468,290,643,510,83,718,449,525,125,212,834,446,120,689,429,117,274,517,833,275,553,265,3,156,531,682,465,411,630,670,542,268,470,691,693,450,688,6,577,16,796,473,610,742,61,453,634,289,665,41,821,174,196,756,338,399,280,232,394,827,293,349,757,425,94,728,526,46,257,547,22,836,826,64,859,711,11,508,492,414,69,680,99,479,554,767,840,882,625,333,277,101,574,374,31,380,287,573,297,591,370,197,433,93,854,575,252,702,808,162,522,455,151,583,42,677,346,175,104,776,23,369,552,100,345,330,50,211,342,132,516,303,335,652,462,666,307,483,725,364,184,440,598,762,167,557,615,835,95,741,683,26,566,18,764,839,488,637,55,810,386,657,402,624,292,193,436,876,519,146,318,439,392,282,305,311,594,19,694,656,294,235,631,247,614,812,14,782,590,759,171,534,774,628,187,722,264,799,794,467,603,607
1: 555,155,582,565,326,772,354,230,334,15,442,798,27,362,428,329,204,866,299,651,373,503,532,201,186,52,664,259,761,655,673,562,514,636,391,76,300,327,225,320,466,272,669,476,195,302,648,358,256,578,108,224,400,499,710,239,360,633,137,541,877,881,381,518,538,549,154,48,668,350,737,862,316,638,576,872,707,352,310,543,133,172,181,28,471,829,770,131,548,242,376,281,684,784,851,627,57,714,511,738,10,158,62,788,53,500,740,512,884,529,600,372,661,58,647,418,846,477,81,613,279,858,443,771,726,489,550,49,685,393,107,746,811,838,868,4,558,9,533,679,672,437,139,215,164,735,361,203,234,765,540,699,570,457,800,179,383,454,507,604,377,246,687,192,662,616,417,723,267,67,818,105,456,709,493,733,126,82,789,25,409,397,398,530,419,240,841,44,405,620,845,284,496,844,708,110,847,312,313,87,148,563,278,368,751,36,121,671,778,650,408,254,219,340,667,480,619,592,20,170,227,505,860,33,588,70,66,724,658,813,595,865,618,237,559,271,233,421,674,441,367,546,579,729,135,85,244,435,273,754,434,535,159,263,143,236,304,324,315,191,705,116,415,690,80,185,856,744,173,527,396,348,481,260,787,403,458,387,736,220,249,269,221,86,351,698,153,238,501,321,308,695,2,136,60,261,825,206,622,459,74,32,200,460,250,831,288,420,807,243,75,331,852,769,612,504,828,639,748,109,749,469,176,635,149,147,867,883,777,285,43,608,494,814,646,431,502,861,1,177,291,343,166,363,241,763,880,879,758,478,210,795,389,681,73,341,385,199,537,753,8,704,401,253,404,837,283,720,773,169,564,750,388,716,461,601,12,654,190,700,561,422,29,245,649,585,849,593,697,98,790,163,438,30,581,295,218,568,739,39,248,424,641,40,182,843,319,207,490,423,586,356,474,72,645,863,194,642,337,286,830,357,198,5,875,150,229,134,545,486,805,56,816,822,45,727,178,712,59,809,427,119,90,678,65,599,842,571,37,160,760,213,21,407,539,63,17,432,482,103,766,445,792,202,536,626,544,779,732,448,498,353,692,96,223,785,217,484,325,92,606,560,801,183,686,123,102,623,515,621,878,344,382,487,701,706,513,84,298,165,413,715,78,853,660,115,676,713,416,124,524,77,79,168,832,804,857,375,142,451,138,7,509,653,730,659,339,864,97,410,214,731,270,491,209,717,347,157,721,255,617,855,301,231,793,152,130,567,747,644,569,205,68,88,129,609,24,506,47,336,226,823,802,589,38,885,276,89,472,596,54,118,611,426,35,188,113,390,355,262,296,745,752,106,806,528,783,605,755,34,768,51,824,703,675,780,602,869,587,874,817,797,180,128,328,743,111,786,208,873,406,819,112,216,379,556,803,306,309,632,13,447,640,848,145,122,395,412,871,520,597,815,161,850,572,475,584,366,430,189,359,719,629,228,314,444,378,322,266,663,258,140,734,521,71,495,114,144,141,580,463,251,781,485,775,332,820,551,365,523,127,222,791,870,384,317,323,371,91,497,464,452,468,290,643,510,718,83,449,525,834,125,212,446,120,689,429,117,517,274,275,833,553,265,3,156,531,411,682,670,465,630,6,470,268,691,450,688,542,577,796,16,693,610,473,61,453,634,742,289,665,41,821,196,174,756,338,280,399,232,394,827,293,349,757,425,94,526,728,257,46,547,22,859,826,836,64,11,711,414,492,508,69,680,840,479,99,554,767,625,882,333,277,101,574,374,380,287,297,31,573,197,591,370,433,252,575,93,854,702,808,522,162,151,583,455,42,346,677,175,104,776,23,552,100,345,330,50,369,342,211,516,303,132,335,652,462,666,440,364,307,483,184,725,598,762,167,557,615,835,95,741,566,683,26,18,764,839,488,637,55,810,386,657,402,624,292,193,436,876,519,146,439,318,392,282,305,311,19,594,694,656,294,235,631,247,614,812,14,782,759,590,171,534,774,264,187,794,799,628,722,467,607,603,696
1: 555,155,582,326,334,230,354,772,15,442,798,27,866,362,428,329,204,299,651,503,532,186,373,201,52,664,761,259,655,272,562,673,636,391,300,76,648,327,320,225,669,466,476,195,302,358,256,578,514,108,224,400,239,499,360,633,541,137,710,877,881,518,381,538,154,48,549,668,350,638,316,862,737,872,576,770,707,543,352,310,133,471,28,172,181,829,684,548,627,131,376,242,851,281,57,714,784,738,511,10,62,158,884,740,53,846,58,529,600,788,372,477,500,661,418,647,512,81,613,279,443,771,858,726,489,49,685,550,393,107,811,558,838,746,868,4,679,9,533,437,377,203,672,139,215,361,735,540,234,699,765,800,457,570,179,383,507,454,164,604,246,818,616,687,192,662,267,67,723,709,417,105,456,493,733,82,789,530,126,841,419,409,398,240,25,44,397,620,845,284,405,496,708,312,844,847,87,110,313,563,148,36,121,278,778,671,751,368,667,254,408,650,219,340,619,860,480,592,20,227,170,505,33,588,70,724,66,233,595,813,421,237,865,271,658,618,559,367,546,674,729,441,579,135,435,244,85,754,273,249,535,159,263,236,315,324,304,191,143,705,116,415,185,690,744,80,458,348,434,173,387,481,856,527,787,220,403,260,736,396,269,221,86,698,153,351,2,501,695,238,60,136,308,321,261,622,206,825,74,32,459,831,200,420,250,460,288,852,807,75,331,243,504,769,828,639,612,749,109,748,176,635,777,147,883,149,867,469,285,291,608,814,646,494,431,763,43,861,502,343,1,166,241,177,363,478,758,880,879,795,210,73,681,385,389,199,341,537,753,8,401,704,253,490,720,773,564,404,750,837,716,169,388,561,601,654,12,190,283,700,422,649,29,849,245,461,585,593,30,98,163,790,438,295,248,739,39,218,581,641,568,40,182,424,843,697,319,207,423,586,356,474,72,863,286,194,337,642,645,198,830,357,150,5,875,229,134,545,56,805,119,816,486,45,727,842,59,427,822,809,65,178,90,599,678,712,571,160,760,213,37,21,539,63,17,432,103,407,482,445,766,792,202,536,544,626,779,732,448,498,353,692,96,785,223,217,325,92,484,686,606,560,801,183,123,102,623,515,621,878,344,487,382,701,706,513,84,298,165,413,715,78,853,676,660,115,713,416,524,124,77,168,79,832,857,804,375,142,451,138,7,509,653,730,339,659,864,97,410,214,731,270,717,491,209,347,721,855,157,255,617,231,301,793,152,569,747,644,130,567,205,68,88,129,24,609,506,47,336,823,226,802,589,38,885,276,89,472,596,118,54,611,426,35,113,188,390,262,745,296,355,752,528,106,806,783,605,703,34,755,824,51,768,602,780,675,869,587,874,817,803,128,797,180,328,786,743,111,112,406,819,208,873,216,379,556,306,13,632,447,309,640,848,122,145,395,412,871,520,719,815,161,850,430,572,475,189,584,366,359,597,228,629,314,444,322,378,266,663,258,140,734,521,71,495,114,144,141,251,580,781,485,463,775,332,820,551,365,523,127,222,791,870,384,323,317,371,91,497,464,452,468,290,449,643,718,510,83,525,834,125,446,212,120,689,429,117,517,274,275,833,553,265,156,531,411,3,682,465,6,670,630,542,268,470,450,691,610,688,61,577,796,693,16,473,453,634,742,665,41,289,821,174,196,338,280,756,399,232,394,827,293,349,257,94,425,757,526,728,46,547,22,826,859,836,64,711,11,840,414,69,492,508,479,680,99,554,767,882,625,333,277,374,101,574,380,297,287,31,573,197,591,433,252,370,575,854,93,702,162,522,808,455,583,151,42,346,677,175,104,776,345,552,100,23,330,369,50,342,516,211,132,303,462,652,335,666,440,307,364,483,184,598,725,762,167,557,615,835,566,741,95,683,26,18,764,839,488,637,55,810,386,657,402,624,292,193,436,876,146,439,519,318,19,392,282,305,694,311,594,656,235,294,631,247,614,812,782,14,759,590,171,774,534,187,264,722,799,794,628,607,603,467,696,565
1: 555,155,582,326,230,354,772,334,15,27,866,442,362,428,204,503,651,329,798,186,532,373,201,52,272,664,259,761,655,299,562,636,648,300,391,673,320,76,327,669,225,466,476,195,302,256,358,578,514,239,224,400,108,499,633,881,360,137,710,541,518,877,381,538,154,549,668,48,770,316,350,737,862,872,638,471,543,352,576,707,133,310,181,57,627,28,172,829,684,131,376,851,714,281,548,242,784,511,738,10,62,158,53,529,489,58,884,372,740,600,788,500,418,661,846,647,477,613,858,81,279,771,443,512,726,49,550,685,393,811,558,838,107,746,868,437,4,9,679,533,164,672,361,203,215,139,699,234,377,735,540,765,457,570,179,800,507,454,604,662,383,818,67,192,687,616,246,267,709,417,723,493,105,456,789,733,82,841,126,419,530,409,240,398,25,620,44,397,87,284,708,312,496,405,110,845,844,313,847,148,563,36,671,278,121,778,368,751,408,667,650,619,219,254,340,860,66,592,20,227,170,33,237,480,724,70,595,233,505,588,813,367,271,865,421,618,674,135,658,249,559,546,579,441,435,85,754,729,244,273,535,159,80,236,315,434,143,304,263,324,705,415,185,116,744,173,191,458,690,387,348,481,856,527,220,403,396,787,736,269,260,86,2,221,501,238,153,351,698,60,136,308,321,622,695,261,825,74,206,32,459,200,250,807,831,852,288,75,460,331,504,769,202,420,243,612,749,748,109,176,639,777,883,147,149,867,469,285,291,635,814,608,646,431,494,758,763,861,502,879,166,1,343,880,43,241,363,681,478,73,177,795,199,210,389,385,341,753,401,537,8,704,490,720,564,253,773,404,837,750,561,388,169,601,716,654,461,12,190,700,422,649,849,29,283,593,245,585,30,98,163,790,438,828,697,295,581,218,248,568,40,641,39,843,424,182,423,207,319,586,286,356,474,72,863,642,194,337,357,150,645,5,830,198,875,134,229,805,119,545,56,816,45,486,727,842,59,427,809,65,178,599,678,822,90,571,712,760,37,160,63,213,21,539,17,407,766,432,445,103,482,792,739,779,544,626,536,732,448,498,353,692,96,785,686,217,325,223,484,92,560,606,801,123,183,102,623,515,621,878,344,487,382,701,706,513,84,298,165,413,715,78,853,676,660,115,713,416,168,524,124,77,79,832,857,375,804,142,451,138,7,509,730,653,864,339,659,721,410,214,717,270,491,731,209,347,97,855,157,255,617,231,301,793,569,152,747,644,130,567,205,88,68,129,24,609,506,47,336,226,823,802,38,589,885,276,89,472,596,54,118,611,426,35,113,262,188,390,296,528,745,752,355,106,806,783,703,605,824,34,803,755,51,768,602,675,780,869,587,817,874,180,797,128,786,112,111,328,743,406,819,208,873,216,379,556,306,13,632,447,309,640,848,122,145,395,412,520,871,719,815,475,584,359,161,430,572,850,189,366,597,228,629,314,444,378,322,266,663,71,140,521,734,258,495,144,114,141,251,580,781,775,485,463,332,820,365,551,523,127,222,791,384,870,323,371,317,91,497,464,452,468,510,449,643,718,290,83,525,834,125,446,212,120,429,517,117,689,274,275,833,553,156,531,265,411,3,682,670,465,6,630,268,470,450,542,691,688,61,610,577,796,16,693,453,473,634,41,742,665,289,821,174,196,280,338,756,399,232,394,827,293,257,349,94,425,757,526,728,46,547,22,826,859,840,836,64,11,711,414,69,492,508,479,680,99,554,767,625,882,333,374,277,101,574,573,297,380,287,31,252,197,433,591,702,575,854,370,93,162,522,808,583,151,455,42,346,677,175,345,104,776,552,440,23,369,330,50,100,342,211,303,462,132,666,516,652,364,335,307,483,184,598,725,762,167,557,615,566,835,741,95,26,683,18,764,839,488,637,55,810,657,386,402,624,292,193,146,436,876,439,519,19,318,392,694,282,311,305,594,294,235,631,656,247,614,812,759,14,782,590,171,774,534,187,794,264,799,722,628,603,607,467,696,565
1: 555,155,866,582,326,334,354,230,15,772,442,27,503,362,329,532,204,186,798,651,52,373,428,272,201,664,259,299,761,655,648,636,673,562,327,320,669,76,391,300,466,476,225,195,881,256,578,514,358,302,239,518,108,400,137,381,224,499,633,710,471,360,668,154,627,541,538,549,862,48,350,877,316,707,770,638,872,543,576,352,737,489,133,310,172,181,684,376,829,28,851,548,714,131,511,784,788,281,62,242,512,738,53,158,58,10,884,500,418,529,647,846,740,600,477,661,613,372,858,81,279,57,443,771,558,811,107,726,164,550,393,49,685,746,838,868,437,4,679,533,9,215,699,672,377,361,234,540,139,735,765,203,800,457,570,616,179,687,507,383,454,67,662,192,246,604,267,818,417,709,493,723,105,456,126,733,82,789,530,419,240,841,44,25,409,397,398,845,620,708,284,496,405,87,563,312,844,110,148,860,671,847,36,778,751,408,278,313,340,121,249,254,66,368,219,650,667,170,33,619,592,70,20,233,595,480,724,227,237,505,658,813,244,618,421,271,588,135,579,367,559,546,865,674,435,729,441,754,273,85,159,80,535,434,263,236,304,143,315,415,173,324,705,116,458,744,348,185,856,387,220,481,690,527,191,403,736,787,269,260,86,2,221,396,238,698,153,60,351,695,459,501,321,136,32,825,261,308,807,74,622,206,250,200,288,852,331,831,460,769,739,420,504,612,243,749,75,748,176,639,777,109,285,883,149,867,291,147,469,635,814,608,646,177,758,494,431,502,763,343,241,861,43,879,880,681,363,166,1,537,73,478,561,795,401,210,753,385,389,341,253,490,8,704,773,564,404,720,750,199,654,716,388,837,461,190,169,422,700,601,245,283,12,649,29,849,163,593,585,98,202,697,30,295,790,218,248,843,438,641,286,581,40,568,586,424,182,423,319,150,207,642,863,474,356,72,337,357,134,194,830,198,645,5,229,39,875,805,816,727,45,809,545,842,119,56,427,678,712,63,822,486,65,59,90,178,37,599,160,760,571,213,407,539,17,445,766,432,21,103,482,792,828,779,626,536,544,732,448,353,498,686,96,692,223,217,785,484,325,560,92,606,801,123,183,515,623,102,487,621,344,382,878,701,84,513,706,298,165,413,168,715,78,853,676,713,142,660,115,124,524,79,77,832,804,375,416,857,451,7,138,509,730,864,653,339,721,659,717,410,270,214,731,491,347,855,97,209,793,617,569,255,301,157,231,152,130,644,88,747,567,68,205,24,129,609,506,47,336,226,823,589,38,802,885,276,54,89,296,472,118,611,262,426,803,113,35,188,596,390,528,703,745,355,752,106,806,783,605,34,824,755,51,768,780,602,587,869,675,817,874,180,786,112,797,743,111,328,873,406,819,128,208,379,216,13,556,306,632,447,309,640,848,122,145,412,520,871,395,719,430,815,189,161,584,359,572,366,850,475,597,228,629,314,378,444,322,663,266,71,140,521,734,258,141,144,114,495,251,463,580,775,332,485,820,551,365,781,523,127,791,222,870,323,384,371,464,452,317,497,91,468,510,834,718,449,290,83,643,525,125,446,212,517,117,120,429,275,689,274,833,553,411,156,531,682,265,3,670,6,465,630,470,268,450,577,691,61,796,693,542,16,610,688,453,634,473,742,665,41,289,821,174,756,280,399,338,196,232,293,394,827,257,349,94,757,425,728,840,526,547,46,22,826,859,836,64,711,11,508,492,414,99,479,554,69,680,767,882,333,625,277,374,101,574,297,252,197,380,287,31,433,370,591,575,573,702,854,93,162,522,808,583,151,455,42,346,677,345,776,552,440,104,175,50,23,330,369,516,303,211,342,307,132,462,364,100,666,652,184,483,335,725,598,762,167,566,557,615,835,741,26,95,683,18,764,839,488,637,55,386,657,810,402,624,292,146,193,439,436,876,519,19,318,694,311,282,305,392,594,294,235,656,631,614,247,812,590,759,14,782,171,187,607,774,534,799,794,264,603,722,565,628,696,467
1: 555,14,155,326,582,230,354,15,442,27,334,503,772,362,532,186,329,798,204,651,373,428,52,201,272,664,299,259,761,648,655,391,636,562,669,320,327,673,76,300,466,476,881,195,578,514,225,256,358,627,239,471,302,108,518,137,400,154,381,633,499,224,668,710,360,541,549,48,862,538,316,877,707,770,352,350,181,543,638,489,737,310,872,133,829,172,684,576,376,846,28,851,714,784,242,788,131,281,62,548,511,53,738,158,500,10,58,884,418,512,477,647,529,740,858,613,661,372,81,600,57,279,443,558,771,811,107,838,393,550,49,726,685,164,746,868,679,437,533,4,215,9,800,361,672,699,234,139,540,765,735,203,377,570,457,616,179,507,687,454,662,192,383,246,604,818,267,493,417,105,67,709,723,456,126,733,240,44,419,789,82,409,284,25,398,530,841,845,397,620,708,405,87,496,860,563,148,844,110,671,312,278,36,408,847,313,778,66,751,249,121,254,340,368,219,650,667,33,619,233,170,70,595,592,20,724,658,135,618,505,480,244,559,813,421,237,579,227,367,271,865,546,674,588,754,435,441,273,85,159,535,236,729,315,263,415,80,304,143,324,173,705,744,434,458,116,348,387,481,690,185,856,220,191,736,403,260,527,2,787,86,269,396,238,153,221,698,60,351,459,695,501,321,32,807,825,136,308,261,74,622,206,200,250,852,288,331,831,460,202,420,769,749,612,243,504,748,75,176,291,285,109,883,777,149,639,147,867,469,635,814,608,646,758,177,431,494,502,343,681,561,241,73,879,763,861,880,363,1,166,43,537,478,795,401,210,389,385,490,341,753,8,704,199,564,253,773,720,404,750,654,388,461,716,190,837,169,601,422,700,245,12,649,849,163,29,593,585,739,283,98,30,295,790,218,248,641,438,697,40,424,581,843,568,586,423,319,286,182,207,642,337,356,134,863,474,357,150,72,194,198,830,645,5,119,229,875,805,816,842,727,45,545,39,809,56,486,427,822,678,63,712,90,37,65,178,599,59,160,571,760,213,539,17,445,766,432,407,21,103,482,792,828,536,779,626,544,732,448,353,498,686,96,692,785,217,223,560,484,325,92,606,801,183,123,515,298,102,382,487,621,344,878,701,706,84,513,623,168,165,413,715,78,853,676,713,142,115,660,524,124,79,77,832,804,416,375,857,451,7,138,864,730,509,653,339,721,659,717,410,270,214,731,491,347,855,97,209,793,569,617,255,301,157,231,88,152,644,130,747,567,68,205,129,24,609,506,226,336,47,823,589,38,802,885,276,54,803,596,89,262,472,118,611,426,113,35,703,296,188,528,390,745,752,355,106,806,783,605,34,824,755,51,768,780,602,869,587,675,817,874,112,180,786,743,111,797,873,328,406,819,128,208,379,216,13,556,306,632,447,309,640,848,122,145,412,520,871,395,719,359,430,189,850,161,815,572,584,366,475,597,228,629,314,378,444,663,266,322,140,71,521,734,141,258,144,114,495,251,463,775,580,485,332,820,551,365,781,523,127,791,222,384,323,870,371,317,464,452,497,91,468,510,834,718,449,290,83,643,525,446,125,517,212,117,275,120,429,274,689,833,553,411,156,531,265,682,3,6,670,465,61,630,450,470,577,610,268,796,693,542,16,691,688,453,634,742,665,473,41,289,821,174,756,280,399,338,196,232,394,293,827,257,840,94,349,757,728,425,547,22,526,46,826,859,836,11,64,711,508,492,414,69,479,99,554,680,767,882,333,625,374,101,277,574,380,297,252,197,287,370,31,440,573,702,575,162,591,854,93,522,433,808,151,455,42,346,677,104,345,552,583,175,776,23,50,330,369,516,303,211,342,462,100,132,307,364,652,666,483,184,335,566,598,725,762,167,557,615,741,835,26,95,683,18,764,839,488,637,55,386,657,810,402,624,146,292,193,439,436,876,19,519,311,694,318,282,305,392,594,235,631,294,656,614,247,812,607,759,590,171,187,782,774,794,799,534,866,264,603,722,565,628,696,467
1: 555,14,326,354,155,230,582,15,442,27,334,503,772,362,186,532,651,798,329,204,373,52,299,272,664,669,201,259,761,648,655,391,428,636,562,627,320,327,76,300,673,466,881,578,514,471,476,256,195,225,358,108,302,239,137,400,518,381,154,633,224,499,668,710,360,541,549,538,48,489,862,877,316,352,707,770,543,638,181,310,133,350,737,829,872,684,172,28,846,376,576,788,851,714,242,784,281,131,548,511,53,158,62,738,58,500,10,57,884,418,647,477,529,740,858,372,613,661,512,81,558,600,279,443,107,771,838,49,550,393,685,811,726,164,746,437,868,679,533,4,215,9,377,699,672,361,139,234,540,735,765,800,203,570,457,179,616,507,662,818,67,454,383,687,246,192,604,267,417,126,493,105,723,709,456,419,733,44,789,240,82,284,409,249,530,25,397,398,620,841,845,708,405,496,563,110,860,671,844,148,36,408,312,278,66,847,778,87,313,751,254,121,340,368,219,650,233,33,135,667,170,70,592,595,20,619,658,480,724,618,505,813,367,227,588,421,559,271,579,754,674,435,546,237,244,865,441,273,85,159,458,729,535,80,236,315,415,324,263,304,143,173,434,744,705,116,185,387,481,690,856,348,220,191,2,736,403,260,527,787,86,396,269,238,221,153,459,351,60,501,695,698,321,32,825,136,807,308,261,291,74,852,200,206,250,288,202,622,331,831,769,749,243,285,460,612,504,420,748,883,176,75,109,777,639,149,147,867,469,635,758,646,681,814,608,431,494,177,502,561,763,880,879,73,241,363,861,343,490,795,1,166,537,401,210,43,478,389,341,385,253,753,704,720,8,564,773,404,750,199,654,190,388,716,837,169,601,422,461,700,245,649,12,849,29,163,739,283,593,585,98,295,30,790,218,248,286,581,424,641,40,843,568,438,586,697,423,319,182,207,337,474,642,356,150,134,863,357,72,194,830,198,645,119,5,875,229,805,727,822,45,816,842,545,809,56,39,678,486,427,63,712,37,178,65,90,160,599,571,59,760,213,539,445,407,17,432,766,21,103,482,828,686,792,536,626,544,779,732,448,353,498,96,692,785,298,223,560,325,484,92,606,801,183,123,515,217,102,487,382,621,344,878,701,168,706,623,84,513,165,413,715,78,676,853,115,713,142,660,524,124,79,77,832,451,416,857,804,375,864,7,138,730,509,339,653,721,659,717,410,270,214,491,731,209,855,347,97,793,569,617,255,157,301,88,231,152,644,130,747,567,68,205,129,24,609,506,226,336,47,823,589,38,802,54,803,885,276,296,262,89,472,118,611,703,113,426,35,596,188,528,390,745,752,355,783,106,806,605,34,824,755,51,768,602,780,869,587,675,817,874,786,112,180,873,743,797,111,328,406,819,128,208,379,216,13,556,447,632,306,309,640,848,122,145,412,430,520,597,871,395,359,584,189,572,161,850,815,366,719,475,228,629,314,444,378,663,266,322,140,71,521,734,141,258,144,114,495,251,463,775,580,485,332,820,365,551,781,523,127,791,222,384,323,870,371,317,464,452,91,497,449,834,718,468,510,290,643,83,525,446,517,125,212,117,120,275,429,689,274,553,833,411,156,531,3,682,265,6,670,61,465,630,450,610,470,577,693,268,542,16,688,796,691,453,473,634,742,41,665,289,821,174,280,756,399,338,196,232,394,293,257,840,94,827,757,349,728,425,547,22,46,526,826,859,11,836,64,711,508,492,414,479,69,554,99,680,767,882,333,625,440,277,101,574,380,252,297,197,374,370,287,702,573,31,575,591,162,854,93,433,522,808,151,455,42,346,345,104,552,583,677,776,175,23,50,330,100,369,303,211,342,132,516,307,462,364,652,666,483,566,184,335,598,725,762,167,557,615,741,835,26,95,683,18,764,839,488,637,386,55,657,810,402,624,146,292,439,193,436,19,876,519,694,311,318,282,305,392,631,235,594,294,656,614,247,607,759,812,590,187,171,782,774,794,799,534,866,264,603,565,722,467,696,628
1: 555,14,354,326,155,230,582,15,442,27,334,362,772,503,186,532,52,798,651,204,329,373,669,272,664,299,201,259,471,761,648,655,428,391,627,320,636,562,881,327,466,300,76,578,514,673,256,476,195,225,108,358,239,137,302,518,154,400,381,633,224,668,499,360,710,541,538,770,489,48,862,549,316,352,877,707,543,638,310,133,872,181,684,350,737,829,172,846,788,28,376,576,851,784,714,548,242,281,511,158,738,131,62,53,858,10,57,500,884,58,740,477,418,647,81,558,613,512,529,372,661,107,600,279,443,838,771,49,811,550,393,685,726,164,437,746,868,679,533,377,4,699,215,9,540,139,672,234,735,800,361,765,457,570,179,203,616,818,383,507,662,454,192,246,67,604,267,687,417,493,126,723,105,419,456,709,44,733,789,240,25,249,409,82,841,530,284,397,398,845,620,708,860,405,496,87,563,110,844,148,36,408,278,313,671,66,778,312,751,121,135,368,254,847,340,33,233,219,650,667,170,70,480,595,619,505,592,20,658,724,618,367,588,754,813,579,421,271,559,546,674,237,227,244,458,865,441,435,535,273,729,159,85,80,324,415,315,236,304,744,434,143,263,173,705,387,185,116,690,348,481,191,856,220,736,260,2,403,527,396,269,86,787,238,351,153,60,501,221,698,695,459,32,321,825,807,308,291,136,261,74,852,206,200,250,202,622,288,460,331,769,749,831,504,243,748,420,285,109,176,612,883,75,639,777,147,149,867,469,758,635,646,431,608,814,494,561,681,795,73,763,502,363,177,880,490,879,861,241,166,343,1,401,537,478,210,253,389,341,385,43,753,720,8,564,704,773,404,750,199,654,190,388,837,716,169,461,601,422,700,245,849,649,12,739,286,585,29,593,163,98,30,295,218,790,283,248,581,641,424,40,568,586,438,697,843,319,423,182,207,337,474,642,150,356,863,194,134,357,830,119,72,198,645,5,229,875,805,822,816,486,45,842,727,809,545,37,56,678,427,39,63,712,65,571,178,160,407,59,760,599,90,213,445,539,17,766,432,103,828,686,21,482,792,779,626,544,536,732,448,353,498,96,692,785,298,560,223,325,484,92,606,801,183,515,102,217,487,382,123,344,621,168,878,701,706,623,84,513,165,413,715,676,78,853,115,713,416,660,524,124,79,77,451,832,142,857,804,375,864,7,138,730,509,339,653,721,659,717,410,270,214,731,491,855,793,209,97,347,617,569,88,255,157,301,231,152,644,747,130,68,567,205,129,24,609,803,226,336,506,823,47,589,54,38,802,885,276,296,262,89,472,703,118,611,113,426,35,596,528,188,390,783,745,106,355,752,806,605,34,824,51,755,768,602,780,587,869,675,817,786,874,112,873,180,743,111,797,328,406,819,128,208,379,13,216,556,597,447,306,640,309,430,848,359,122,145,412,632,520,871,395,584,189,850,572,161,815,366,719,475,228,629,378,314,444,322,141,663,140,266,71,521,144,734,258,114,495,463,251,775,485,580,332,365,820,551,781,523,127,791,222,718,384,870,371,317,464,452,449,510,91,323,497,468,834,290,83,643,525,517,446,212,117,125,429,120,274,275,689,553,833,411,156,531,6,265,3,670,682,61,465,450,610,577,470,630,688,693,268,796,542,16,453,691,742,41,473,634,665,289,821,280,756,399,174,338,196,840,232,394,293,257,94,827,757,349,728,425,22,547,859,11,826,46,526,836,64,711,508,69,492,479,554,414,99,680,767,882,333,440,625,277,101,574,370,297,702,380,374,252,197,287,573,31,162,575,591,854,93,522,808,151,455,42,346,552,433,345,104,677,776,175,23,50,330,583,369,303,211,342,132,566,307,462,652,364,483,666,100,184,335,598,516,762,725,167,557,615,741,835,26,95,683,764,18,839,488,637,55,386,657,810,146,402,624,439,292,19,193,436,876,519,694,311,318,282,305,392,235,631,594,294,656,614,247,812,759,607,187,590,171,866,782,774,799,794,534,603,264,565,722,696,467,628
1: 555,14,628,354,326,155,230,582,334,442,15,27,772,362,503,272,669,186,532,204,798,651,52,329,373,299,664,428,471,201,648,259,761,655,514,627,881,391,562,636,300,320,466,108,578,137,327,76,256,673,476,195,225,358,668,239,302,518,154,400,381,846,224,499,633,360,710,541,538,489,316,770,48,862,549,352,707,877,543,310,638,133,684,737,872,181,350,548,829,172,788,28,376,576,851,784,714,281,512,131,242,511,158,53,738,62,10,558,57,500,477,884,740,81,58,647,418,858,613,164,107,372,529,661,279,600,443,800,685,771,393,49,550,811,726,838,437,746,868,679,533,377,699,4,540,9,215,672,139,234,361,765,735,570,457,616,179,203,818,67,383,507,662,454,192,246,419,604,267,417,687,44,126,709,493,723,105,456,733,789,284,240,249,82,409,841,530,398,25,397,620,671,405,708,496,563,845,860,135,36,408,844,148,110,121,87,751,778,278,313,66,312,368,233,254,847,33,619,340,219,650,667,480,505,170,592,595,237,70,20,367,658,618,724,813,588,579,458,421,754,674,559,546,271,434,227,435,865,441,244,535,273,729,85,159,80,315,143,415,744,324,236,291,304,387,185,690,263,173,705,116,348,501,856,481,220,2,260,403,736,527,191,269,86,238,787,153,60,351,221,396,698,695,459,807,32,321,308,825,261,622,136,852,74,206,200,250,288,202,639,460,331,831,769,749,504,243,285,748,420,176,109,883,612,75,758,147,149,777,867,469,635,490,431,814,646,608,561,681,795,494,879,363,763,880,73,502,177,166,241,861,343,537,43,401,1,210,478,341,720,389,253,385,199,753,564,8,704,773,404,750,286,388,654,190,716,837,422,169,461,601,849,700,245,649,12,585,739,697,593,163,29,30,98,295,218,790,581,150,248,40,568,424,641,438,843,586,283,319,207,423,182,337,474,642,119,356,863,194,134,357,830,72,198,822,645,5,875,229,805,686,816,45,842,809,56,727,545,37,678,486,427,63,407,65,712,178,160,571,760,39,59,599,90,213,445,539,17,766,432,103,21,828,779,792,482,732,626,536,544,353,448,498,96,223,692,785,217,560,325,484,92,606,487,801,168,515,183,298,382,123,102,344,621,878,701,706,623,84,513,165,413,715,78,853,115,676,713,416,660,524,124,79,77,451,832,857,804,142,375,864,7,730,138,509,339,653,659,717,721,214,270,491,209,731,855,410,347,793,569,97,88,617,255,152,157,301,231,747,130,644,567,68,205,803,129,24,609,226,506,823,336,54,47,589,38,802,262,885,276,296,89,703,472,118,611,113,426,528,35,188,596,390,783,745,355,106,752,806,824,605,34,51,755,768,602,780,675,869,587,112,817,786,874,873,180,743,797,111,328,128,406,819,208,379,13,216,447,556,306,597,640,309,430,848,122,359,412,145,395,871,632,520,584,850,189,572,161,815,475,366,228,719,629,378,314,444,141,322,663,266,71,140,144,521,734,258,114,495,251,775,781,463,485,580,332,365,551,820,523,127,791,222,384,718,870,371,449,464,317,452,510,497,91,834,323,468,290,517,525,643,83,446,212,125,429,117,120,274,689,275,553,833,411,6,156,531,670,3,265,682,61,465,610,688,450,577,470,796,630,268,542,693,16,453,634,41,691,840,742,473,665,289,821,756,280,174,399,338,196,394,232,293,257,827,757,94,728,349,425,11,22,547,859,46,826,526,836,711,64,414,69,508,492,554,99,680,767,882,625,479,333,101,277,574,702,297,380,252,197,370,440,573,287,31,162,575,591,854,93,522,374,808,151,455,42,345,346,104,552,433,677,776,175,23,50,330,369,583,303,211,342,132,307,100,652,364,462,666,483,184,566,335,598,516,762,725,167,557,615,741,835,26,95,683,764,18,839,488,637,55,386,146,657,810,402,624,439,292,19,193,436,694,876,311,519,318,282,305,392,235,631,594,294,614,656,607,247,759,866,187,812,171,590,774,782,799,794,534,565,603,264,696,722,467
1: 555,14,628,326,230,155,582,442,15,27,334,272,503,772,186,362,669,204,471,532,651,329,299,627,52,798,664,373,201,428,881,761,648,259,655,108,578,514,636,320,391,327,562,466,256,76,137,673,154,381,300,358,195,476,239,489,225,302,518,400,360,633,541,846,499,710,877,48,224,549,862,316,538,707,638,737,770,352,684,133,872,668,543,181,376,788,310,172,829,350,784,548,28,851,53,576,131,714,558,242,281,62,512,477,511,738,500,647,158,81,884,58,107,57,740,418,613,372,858,529,661,279,164,10,443,811,600,393,771,49,550,800,726,685,437,746,377,868,533,699,679,215,9,540,672,838,4,616,139,234,361,735,765,818,570,179,457,203,246,383,662,192,67,267,454,507,604,687,44,417,709,723,456,493,105,126,733,249,240,82,530,841,789,409,405,419,397,620,25,284,398,671,844,860,496,708,36,563,121,148,845,408,110,368,650,135,66,778,313,278,312,202,87,254,480,233,170,847,340,751,219,70,619,595,20,592,505,458,367,618,291,658,754,667,724,244,271,813,579,237,421,559,546,435,227,273,441,588,865,674,535,143,159,173,80,304,315,434,85,387,415,324,236,263,185,744,856,705,729,116,481,220,690,348,260,403,527,736,501,2,269,86,459,698,60,351,238,191,153,221,695,787,807,32,825,396,321,308,852,136,261,74,206,250,33,639,200,288,749,831,460,331,504,622,769,176,243,612,285,748,420,883,75,109,149,758,867,777,469,147,431,646,814,608,635,681,795,494,763,537,490,363,73,502,879,880,861,401,241,561,166,720,343,253,177,1,478,210,43,389,341,753,8,564,385,773,654,704,199,404,750,388,190,422,837,286,245,169,601,716,700,585,849,12,739,150,649,163,790,30,593,98,697,29,218,40,248,295,581,319,423,568,586,461,641,843,438,424,207,356,283,182,863,134,474,642,337,357,119,72,194,830,5,809,198,822,727,645,842,229,805,875,686,45,816,545,486,56,63,37,678,427,65,160,407,760,178,571,539,599,59,90,213,445,712,766,828,779,432,103,17,792,39,482,21,626,732,544,536,353,448,498,96,785,223,217,692,560,168,325,487,484,92,382,606,801,298,515,183,123,102,344,621,878,701,706,623,84,513,413,165,715,676,78,115,713,416,853,660,524,124,79,77,451,832,142,804,864,375,857,7,730,509,717,138,339,721,653,659,855,491,214,270,793,569,731,209,97,347,803,410,88,617,152,255,301,157,644,231,130,567,747,68,205,54,129,24,336,506,609,226,47,589,823,262,38,703,296,885,802,276,89,472,118,113,611,426,528,596,35,188,355,390,745,783,106,752,806,34,824,605,755,51,768,602,112,780,869,817,675,786,587,180,874,743,873,797,328,406,819,111,208,379,13,128,447,216,597,306,556,640,309,122,430,848,359,145,632,520,412,395,871,189,584,815,161,850,572,719,475,366,228,629,314,141,378,322,444,71,114,266,663,521,258,495,144,734,140,463,251,775,485,580,332,365,820,781,551,523,791,222,718,127,449,384,371,834,870,464,510,317,468,323,452,91,497,517,290,643,446,525,83,125,117,212,553,274,429,120,689,275,833,411,156,531,670,682,840,6,3,610,265,450,61,465,577,470,688,268,796,630,693,453,542,41,634,742,16,473,691,665,289,280,756,821,174,399,338,196,232,394,293,94,257,827,757,728,349,425,11,859,22,547,526,46,711,64,836,508,826,492,554,414,69,99,680,882,101,479,767,333,277,625,574,370,252,702,440,297,197,380,31,575,287,573,162,591,374,522,808,93,854,151,455,345,552,433,42,346,776,677,104,175,23,50,566,330,369,303,211,342,583,132,462,652,364,307,100,666,483,184,598,516,335,725,762,167,557,615,741,835,26,95,764,683,18,839,488,637,55,386,146,657,810,402,439,624,19,292,436,694,876,193,311,519,318,282,305,235,392,631,294,614,594,656,607,866,759,247,812,187,171,590,799,782,774,794,565,603,534,696,264,722,467,354
1: 555,14,326,628,230,155,582,442,272,334,27,15,186,503,772,204,362,471,669,532,651,627,299,52,329,664,798,373,201,881,428,761,648,578,514,259,108,655,636,320,466,562,327,391,137,256,300,673,76,358,476,154,195,381,239,489,225,302,400,518,710,846,633,360,541,224,499,877,48,549,668,316,862,707,538,638,770,684,352,737,543,872,133,376,310,181,788,172,350,829,784,548,851,28,53,242,558,576,131,714,281,477,512,62,511,158,500,647,738,58,740,81,57,884,613,107,418,372,529,858,661,279,377,10,443,600,811,393,771,49,164,550,726,685,437,800,746,868,533,699,679,215,9,616,838,540,4,765,139,672,735,361,818,234,570,179,457,246,383,203,662,267,192,454,507,687,604,44,417,249,493,723,709,240,105,456,67,126,733,841,82,530,409,397,419,284,25,789,620,860,405,671,121,398,844,36,708,496,148,368,87,563,408,110,66,650,313,778,480,254,312,202,845,278,135,233,170,340,751,458,219,847,595,291,592,20,367,70,505,619,244,658,724,618,667,813,754,421,271,237,579,559,546,435,227,273,674,588,441,865,535,85,143,387,159,304,315,434,415,324,236,80,185,744,173,856,263,729,116,705,481,220,348,690,260,736,527,403,501,2,269,698,86,459,153,191,351,60,238,221,695,852,807,32,825,396,787,321,308,136,261,250,33,639,206,288,74,200,460,831,622,749,504,769,176,331,612,285,243,758,748,883,75,420,109,431,147,149,867,814,777,469,608,646,635,681,879,795,537,490,494,763,861,502,73,363,401,561,241,166,343,880,177,253,478,1,720,43,210,341,389,753,8,773,654,564,150,385,704,190,404,750,388,422,837,199,716,169,245,601,700,585,739,286,649,849,12,790,163,30,98,461,593,218,581,40,248,29,295,697,319,568,424,586,641,423,843,438,283,207,356,182,134,357,642,337,72,686,863,194,474,830,5,842,119,809,198,645,727,875,805,822,229,45,816,545,56,63,37,486,678,427,65,160,779,599,760,178,59,571,539,712,213,90,445,766,432,828,407,17,103,732,21,792,482,536,626,544,353,448,96,39,498,168,560,217,223,692,785,382,487,325,484,92,606,801,298,515,183,102,123,344,621,701,878,706,623,513,413,84,165,715,676,78,713,416,853,115,660,524,124,79,77,451,832,142,804,864,375,857,7,730,509,717,138,339,721,653,659,803,855,491,793,214,270,209,569,97,347,88,731,410,617,152,255,301,157,644,231,54,747,567,130,68,205,609,129,336,506,226,24,262,703,589,47,823,38,296,885,802,276,89,472,118,113,611,528,426,596,35,355,188,390,745,783,106,752,34,824,806,605,51,755,768,602,112,786,817,780,675,869,587,180,874,743,873,797,328,406,819,111,13,208,379,128,216,447,597,306,556,640,309,359,122,848,430,520,632,412,145,871,395,584,189,850,475,161,572,719,815,366,228,629,314,141,444,322,378,114,71,521,266,663,258,495,144,734,140,251,463,775,580,485,332,365,781,820,551,523,791,834,718,222,449,127,384,510,371,870,464,317,452,323,468,91,497,517,290,643,446,83,525,125,117,553,212,429,274,120,689,840,411,833,156,531,275,670,682,6,3,265,61,450,610,465,688,577,796,470,268,453,630,634,542,693,742,16,473,41,665,289,280,756,821,691,174,399,338,196,232,293,394,94,257,827,757,728,349,425,11,859,22,547,526,46,711,64,836,826,508,492,554,414,69,99,680,882,101,440,767,333,277,625,370,574,252,297,479,197,702,380,31,575,287,162,573,566,591,522,854,808,93,151,455,345,552,374,346,42,776,677,104,175,50,23,433,369,330,303,211,583,342,132,307,462,652,364,100,666,184,483,598,516,335,725,762,167,557,615,741,835,26,95,764,683,18,839,488,637,386,146,55,657,810,402,439,624,19,292,694,436,193,876,311,519,318,282,305,235,392,631,607,614,294,594,656,866,759,812,247,187,171,590,799,774,565,782,603,794,534,696,264,722,354,467
1: 555,14,467,230,628,155,442,272,582,27,334,503,15,186,772,362,204,471,669,52,532,627,299,651,329,664,798,373,881,428,761,201,648,578,514,259,108,655,320,466,636,391,256,327,137,562,673,76,300,154,358,195,225,476,302,489,239,381,518,400,710,633,846,360,541,877,499,224,48,862,668,538,316,707,549,788,684,352,638,737,133,543,770,872,310,181,376,350,829,28,548,172,784,851,53,242,576,131,714,281,558,512,58,477,62,500,158,511,858,738,647,57,740,107,81,884,613,418,372,529,377,661,279,10,600,443,771,393,164,49,811,550,685,437,726,838,746,699,868,533,679,215,9,765,540,4,735,818,616,139,672,800,361,234,179,570,457,246,662,203,383,507,687,454,192,604,267,44,417,249,493,456,723,240,105,709,67,126,733,841,82,530,409,284,419,25,397,789,121,620,405,87,860,398,708,36,844,496,368,148,671,408,480,563,135,110,66,650,313,778,202,291,254,312,278,170,233,751,458,367,340,219,845,847,595,70,592,244,20,505,619,667,724,658,579,618,271,813,237,754,559,421,546,435,227,674,273,588,441,865,535,143,159,387,324,304,315,434,85,415,80,236,744,185,263,856,173,729,705,116,220,481,348,690,260,2,527,501,736,403,269,698,86,191,459,351,238,60,807,695,852,32,153,396,825,221,787,321,308,136,261,33,639,250,288,74,206,460,200,831,749,504,243,622,285,176,769,612,75,331,748,431,883,758,109,147,149,814,867,420,777,635,608,646,469,681,795,490,537,253,763,879,861,494,502,363,166,561,241,880,73,401,343,177,478,720,1,43,210,341,389,773,753,8,385,564,150,654,704,750,404,190,199,388,422,716,169,837,601,700,245,739,286,585,649,849,12,790,163,30,98,461,593,218,581,295,40,29,248,697,319,424,568,586,641,423,843,438,207,283,356,337,182,642,134,863,686,357,474,72,194,830,5,842,119,645,198,809,727,805,822,875,229,816,56,45,63,545,37,65,486,427,678,536,599,59,760,160,571,539,178,779,213,712,445,90,828,766,432,17,103,407,792,21,482,732,626,544,353,448,168,498,96,39,560,217,223,692,382,785,487,325,484,92,801,515,298,606,102,123,183,344,621,878,701,706,623,413,513,84,165,715,676,78,713,142,115,853,660,524,124,451,79,77,864,416,832,804,375,857,7,730,717,509,138,721,339,803,653,659,793,491,214,855,209,270,97,88,569,347,731,410,617,152,255,301,54,644,157,231,747,130,567,68,205,703,609,336,129,262,226,506,24,47,589,823,38,296,885,802,276,89,472,118,113,611,596,528,426,35,355,188,390,745,783,106,752,34,824,806,605,755,51,768,112,602,786,817,780,675,869,587,180,874,873,743,797,328,406,819,111,13,208,379,128,216,306,447,597,556,640,309,430,359,122,848,395,632,520,145,412,871,584,475,850,189,161,572,719,815,366,228,629,314,141,444,71,378,322,114,521,266,663,258,495,144,734,140,485,463,251,775,580,332,365,781,820,551,523,791,834,718,449,222,510,127,384,371,870,464,317,452,323,497,91,468,517,290,643,446,525,553,83,117,125,212,429,274,120,840,411,689,156,531,833,670,275,682,3,6,61,450,265,610,796,688,577,465,470,268,453,630,542,634,742,693,16,473,756,41,665,280,821,289,174,691,399,338,196,257,232,293,394,827,757,728,425,349,11,859,547,94,22,526,46,711,64,836,826,508,492,554,69,414,99,680,101,440,882,767,333,625,277,370,574,252,566,297,702,197,380,31,575,162,287,573,479,591,522,808,151,854,93,455,42,552,374,345,346,776,677,104,175,50,23,433,369,330,303,211,583,342,132,462,307,652,364,100,666,483,184,516,335,598,167,762,725,557,615,741,835,26,95,764,683,18,839,488,637,386,146,55,657,810,19,439,402,624,694,292,436,193,876,311,519,318,282,305,235,392,631,607,614,294,594,866,656,187,247,759,812,171,799,590,774,565,782,603,794,696,534,354,264,722,326
1: 555,14,467,628,155,272,442,582,27,334,503,15,471,772,186,362,204,627,669,532,299,651,52,329,664,798,761,881,373,428,201,648,578,514,259,108,655,320,466,636,391,562,256,489,327,76,358,673,154,195,300,225,476,137,302,239,381,518,400,710,877,846,633,360,541,499,788,224,48,316,862,549,707,538,829,638,352,684,668,543,310,770,133,737,181,350,376,872,548,172,851,784,28,576,242,53,477,58,249,558,714,131,281,62,107,500,858,738,377,740,647,511,158,884,81,613,418,372,838,529,661,279,10,443,771,600,393,512,49,811,550,685,726,437,57,746,699,533,679,868,215,164,9,765,818,540,735,4,139,672,616,361,234,179,570,457,246,383,662,267,203,507,687,192,454,604,44,417,800,493,456,723,709,105,240,67,126,733,284,530,82,841,409,860,419,25,397,789,620,87,121,405,398,708,36,844,496,408,291,135,368,480,148,66,563,110,778,650,278,202,671,312,254,313,233,367,458,170,340,219,845,751,70,595,847,244,592,20,505,667,619,724,658,271,579,754,813,588,618,421,546,559,435,674,227,237,273,441,865,143,535,387,159,85,324,729,315,415,304,80,744,185,236,263,501,173,705,856,116,690,481,220,348,2,434,260,527,736,698,403,269,86,191,852,459,238,351,695,153,60,32,396,807,825,221,787,321,308,33,261,136,250,206,288,74,639,460,200,504,831,285,749,758,176,243,769,612,75,331,748,883,622,431,147,149,109,681,420,635,867,777,608,814,469,646,795,490,253,763,537,494,879,861,241,561,363,502,166,73,880,343,177,401,478,43,210,1,341,720,389,753,8,773,150,385,654,564,704,750,404,190,199,422,388,716,700,169,837,601,245,739,286,649,585,163,849,12,790,30,461,98,218,40,581,593,295,248,697,29,319,568,641,843,423,424,438,586,283,337,207,356,182,642,863,194,686,357,134,474,72,5,830,842,119,198,645,809,805,727,822,875,229,816,56,486,37,45,63,545,65,427,678,168,59,571,599,160,539,536,760,712,445,213,178,828,779,766,90,432,17,103,792,21,482,407,626,544,732,353,448,96,498,39,560,217,382,785,692,223,487,484,325,801,92,515,298,606,102,183,123,344,621,701,878,413,623,706,513,84,715,165,676,78,713,142,115,853,660,524,124,451,864,79,416,77,832,804,375,857,730,7,717,803,509,721,138,339,653,659,793,209,491,88,214,270,97,569,855,347,410,731,617,152,54,255,301,644,157,231,747,130,567,68,205,703,336,262,129,609,226,24,506,47,589,823,38,296,885,802,276,89,472,118,528,113,596,611,426,35,355,188,390,783,745,106,824,34,752,806,605,112,768,51,755,602,786,817,780,587,675,869,180,874,873,743,797,328,406,819,111,13,379,208,128,306,447,216,597,556,640,430,309,122,359,848,395,632,520,412,871,145,584,572,475,850,815,161,719,189,366,228,629,141,314,444,71,322,114,378,521,266,258,663,495,144,734,781,251,463,775,485,580,365,332,140,820,551,523,834,449,718,791,222,384,510,371,127,870,464,317,452,323,497,91,468,517,290,446,643,553,525,117,840,83,125,429,212,274,120,411,156,531,689,833,670,275,682,61,3,6,450,265,610,796,465,688,577,268,470,453,630,542,634,742,473,16,693,41,756,821,289,665,174,691,399,338,196,257,394,280,293,232,827,757,728,425,349,11,859,94,547,22,526,46,711,64,826,836,508,69,414,554,492,99,680,101,566,882,767,333,625,370,277,252,574,440,297,702,197,380,31,575,287,162,573,479,591,522,808,151,854,93,455,42,552,374,346,345,776,104,677,175,369,50,433,23,330,303,211,583,342,132,462,652,307,364,100,666,483,184,516,598,335,167,762,725,615,557,741,835,26,764,95,683,18,839,488,637,146,386,55,657,402,19,439,810,624,694,292,436,311,193,876,318,519,235,282,305,392,631,607,614,294,866,594,656,187,812,759,247,171,799,590,774,565,794,603,782,696,534,354,264,722,326,230
1: 555,14,467,628,155,442,582,27,272,334,204,471,627,669,503,186,362,15,772,532,299,329,651,664,52,798,881,761,373,514,201,648,578,428,108,259,655,320,636,381,466,562,489,391,673,256,327,76,358,154,195,300,137,225,302,239,400,788,518,476,846,541,877,633,710,48,224,499,862,538,360,549,829,316,707,133,668,638,352,543,737,376,684,181,770,310,350,249,172,28,851,872,477,53,242,58,784,558,548,131,576,281,714,62,107,500,511,647,158,740,418,884,81,738,613,57,858,372,529,279,661,443,771,393,377,811,49,10,600,437,550,726,512,685,746,699,679,215,868,533,9,616,735,818,672,765,540,139,800,4,361,234,570,662,179,457,383,44,246,164,687,192,267,604,454,507,203,838,709,417,493,240,456,284,67,723,733,530,105,126,409,841,419,25,860,121,82,397,789,620,291,398,66,405,36,368,844,708,496,87,480,408,110,135,254,778,170,563,312,202,671,148,233,278,70,650,595,847,313,845,751,367,219,340,505,458,244,592,619,20,658,754,271,579,546,724,813,237,618,227,435,667,421,559,865,588,674,273,441,387,159,143,324,434,535,85,415,315,304,856,80,263,729,236,690,744,185,705,481,348,260,173,116,501,698,220,2,736,527,86,191,403,787,269,459,852,807,351,825,238,60,153,32,33,396,695,221,308,321,136,261,288,639,206,285,74,250,460,749,831,200,758,504,176,612,243,769,622,331,75,748,431,883,147,490,814,109,149,681,646,635,867,420,608,469,777,253,763,537,795,494,363,720,561,73,502,241,879,343,861,401,166,880,478,150,177,1,210,341,389,773,8,43,385,654,564,753,704,404,190,686,422,750,388,700,245,169,739,286,649,601,716,837,163,585,12,849,790,461,98,30,40,218,29,593,248,199,581,319,295,423,641,843,568,438,283,337,356,207,424,134,586,182,697,863,642,474,357,194,119,830,5,842,72,645,727,168,63,809,198,805,875,822,229,816,56,45,65,37,545,678,486,427,712,59,539,536,445,160,760,571,828,599,213,766,178,90,103,432,407,17,779,792,482,21,626,732,544,353,96,448,487,498,382,217,785,692,223,560,39,515,484,801,123,325,298,102,92,606,183,621,344,413,623,878,701,706,513,84,165,715,115,713,142,78,676,853,660,524,864,124,451,803,416,77,79,832,804,857,375,730,717,7,509,721,138,339,653,793,659,209,569,88,214,97,491,855,270,347,731,410,54,617,152,301,644,255,157,747,231,567,130,205,68,262,336,703,609,129,226,506,24,589,38,823,296,47,885,276,802,113,89,528,472,118,596,611,426,35,188,355,390,745,783,106,824,34,752,605,806,112,51,768,755,602,786,817,780,180,675,587,869,874,873,743,328,111,406,819,13,797,447,379,208,640,556,597,128,216,306,309,430,122,359,520,848,632,871,145,412,395,584,189,475,850,161,815,719,366,572,228,314,141,629,322,114,521,444,266,378,495,663,71,144,258,734,781,775,463,251,485,332,580,365,140,820,551,523,449,834,718,791,222,510,371,452,127,384,870,464,317,323,91,497,468,840,517,290,446,643,553,117,525,125,83,429,274,120,212,411,156,531,689,833,61,682,6,275,670,265,450,3,688,577,796,465,610,630,453,470,268,634,16,473,742,542,756,174,665,821,693,289,691,41,399,338,257,196,232,280,293,394,827,728,757,349,425,11,94,859,547,22,526,46,711,64,826,836,508,492,554,69,99,414,882,566,680,101,333,767,370,277,625,252,574,440,702,297,197,380,573,287,575,479,31,162,591,522,808,151,854,455,93,42,552,374,345,776,346,677,175,104,433,369,23,50,330,211,342,583,303,132,307,100,652,364,462,184,483,516,666,598,335,167,762,725,615,557,741,764,26,95,835,683,18,839,146,488,637,386,55,657,402,19,624,439,694,810,292,436,876,311,193,318,519,282,305,235,392,631,607,614,866,294,594,656,187,171,759,799,812,247,774,590,565,794,603,782,696,534,354,264,722,326,230
1: 555,14,467,628,155,442,272,582,27,471,204,669,627,503,334,362,186,15,772,532,52,299,651,664,329,798,881,761,373,489,201,648,108,578,428,655,259,320,636,391,514,562,466,381,154,256,76,358,673,327,137,300,195,225,239,302,518,788,541,846,476,400,877,710,633,224,499,48,549,538,862,829,360,707,310,316,133,249,638,352,543,737,376,684,770,181,350,668,477,172,851,28,242,872,53,558,58,548,784,281,131,714,107,62,576,511,500,647,740,158,418,884,858,81,738,613,377,372,529,661,279,443,771,393,49,57,811,600,10,550,437,726,685,746,679,699,9,215,868,512,533,616,818,735,672,540,765,139,361,800,4,234,570,662,179,44,383,457,246,838,267,687,604,192,454,507,164,203,709,240,493,417,284,456,723,67,105,733,530,409,126,419,841,25,860,121,620,398,82,291,789,405,368,36,397,135,708,66,87,844,496,408,480,110,778,312,563,202,671,148,254,170,278,650,233,70,595,847,505,845,313,219,367,458,751,592,340,244,619,658,20,271,754,546,579,813,724,237,618,435,227,667,421,588,559,865,674,273,387,441,143,159,324,535,85,415,315,304,856,80,191,263,236,690,185,744,705,481,729,116,173,348,260,220,698,2,434,527,736,86,852,403,807,269,501,787,459,825,238,351,153,32,33,396,60,695,308,221,321,136,261,639,288,285,831,206,749,74,250,200,758,176,460,504,612,243,769,431,490,883,331,748,681,75,622,814,149,109,147,608,635,253,646,420,867,469,777,763,795,73,537,720,494,363,561,343,502,401,879,241,861,166,478,880,177,150,210,1,341,389,654,8,773,686,385,564,753,704,190,43,750,404,422,388,700,245,169,601,739,286,649,585,837,716,163,12,98,849,461,790,30,593,40,218,29,248,581,199,319,641,295,423,337,843,283,568,438,207,356,134,424,586,697,182,863,194,642,119,474,357,830,5,72,842,645,727,168,809,63,198,805,875,822,56,816,229,45,536,486,545,65,678,427,59,37,160,445,712,571,539,599,760,828,213,766,90,432,103,407,17,178,482,779,792,626,21,732,544,353,96,448,487,498,382,217,785,692,223,560,515,39,484,102,801,298,123,325,92,606,183,621,344,413,623,701,878,706,513,84,715,165,115,713,142,78,676,853,803,524,660,864,124,451,416,77,79,832,804,857,375,717,730,7,721,509,339,138,653,793,659,209,569,88,491,97,214,855,270,54,347,731,152,410,617,644,301,255,157,747,231,567,130,205,262,336,68,703,129,609,226,506,24,38,589,823,296,47,885,276,802,113,89,528,472,118,596,611,426,35,188,355,390,745,783,106,824,34,752,806,605,112,768,51,755,786,602,817,780,675,180,587,869,874,873,743,328,111,406,819,13,797,447,379,208,640,128,556,597,216,306,359,430,309,122,520,848,632,871,412,584,145,395,189,572,850,475,161,719,366,228,815,141,314,629,322,114,521,378,444,266,71,663,495,144,258,734,140,775,251,463,332,580,365,485,781,820,551,523,834,449,718,222,791,510,371,452,384,870,464,127,323,317,91,840,497,468,517,290,446,553,643,117,125,525,83,429,274,212,120,411,156,531,6,689,833,61,670,275,682,450,3,796,265,688,577,465,610,630,470,268,16,742,634,473,756,542,174,665,453,821,693,289,691,41,399,338,196,257,232,280,293,394,827,728,349,757,425,11,94,859,526,547,22,46,711,566,64,836,508,554,492,69,99,414,882,826,680,101,333,370,767,277,252,625,574,440,702,297,197,380,575,287,162,479,31,573,808,522,591,151,455,854,93,42,552,374,346,776,345,677,104,175,433,369,50,23,330,211,583,303,342,132,307,100,652,462,364,184,483,516,666,598,335,167,762,725,615,557,26,741,764,95,835,683,18,839,146,488,637,386,55,19,657,402,439,624,694,810,292,436,876,311,193,318,519,282,305,235,392,631,607,614,866,294,594,656,187,171,759,799,812,247,774,590,565,794,603,782,696,534,354,326,264,230,722
1: 555,14,467,628,442,155,272,471,582,27,204,669,627,503,334,186,362,15,532,772,299,52,664,651,329,798,881,761,489,373,648,201,578,428,108,655,320,259,636,514,391,154,562,466,381,256,358,673,76,137,327,300,239,788,195,302,225,518,249,476,400,541,877,549,633,846,710,224,499,48,310,829,538,360,862,133,316,707,352,638,543,770,376,737,181,668,558,684,350,172,851,477,242,28,58,872,53,281,784,131,714,107,62,576,548,511,500,647,740,158,858,418,884,613,738,81,372,661,529,279,771,443,377,811,49,393,600,437,10,57,726,550,685,746,9,679,699,512,818,215,616,868,533,735,540,672,765,800,139,4,234,361,44,662,570,179,383,457,838,246,192,604,454,687,267,164,507,203,709,284,240,417,493,67,456,723,105,733,841,530,291,135,409,126,25,860,398,121,419,405,82,620,789,368,36,397,708,66,87,496,844,312,110,778,480,408,202,671,563,148,254,170,278,650,313,458,233,845,219,70,367,505,595,847,751,340,619,244,592,658,271,754,20,813,546,579,724,435,618,667,237,227,421,674,559,143,273,387,588,441,865,159,324,535,85,80,856,434,304,415,315,263,185,236,191,2,705,690,116,744,348,173,729,481,220,260,698,527,736,852,86,403,501,807,269,459,308,787,825,33,639,238,351,153,695,32,60,221,321,396,261,136,288,285,831,206,749,74,250,758,176,200,460,504,243,612,431,490,769,681,883,748,331,561,814,75,149,109,147,608,253,622,635,646,867,469,777,73,537,763,720,363,420,494,795,879,343,502,241,401,861,150,166,880,341,478,1,210,177,753,686,389,654,564,8,773,385,704,43,750,190,404,422,388,245,700,601,739,286,169,649,585,837,163,716,12,461,849,790,98,30,29,593,40,199,337,218,248,581,295,319,423,283,641,843,438,356,424,207,568,697,586,134,182,863,194,119,642,474,357,830,72,842,168,5,645,727,809,63,198,805,875,229,56,822,816,45,65,486,678,545,536,59,160,427,445,571,539,712,217,37,599,760,213,766,90,103,432,17,178,407,482,792,626,21,779,544,732,353,96,448,487,382,828,498,560,692,785,223,515,39,484,102,298,801,325,123,92,606,183,344,621,413,623,878,701,706,513,84,715,165,803,713,142,78,115,676,853,524,660,864,124,451,416,79,77,804,832,857,717,375,730,7,721,509,339,138,653,793,209,88,659,569,97,54,491,855,270,214,152,347,731,410,617,644,301,255,157,747,231,703,567,130,262,205,336,68,129,609,226,506,24,38,589,823,296,47,885,802,276,113,89,528,472,118,34,611,426,35,355,188,390,745,783,106,752,596,806,824,605,112,768,51,755,602,786,817,675,780,180,587,869,874,873,743,328,13,406,819,111,447,797,379,208,128,640,556,597,216,306,359,430,122,309,520,848,632,871,412,395,584,145,189,572,475,228,366,719,850,161,815,141,314,629,322,114,521,378,444,266,71,495,663,144,258,734,140,775,463,251,332,580,365,485,781,551,820,523,834,449,718,510,791,222,371,452,384,870,317,840,323,464,127,91,517,497,468,290,446,553,643,117,429,125,525,83,274,120,212,411,156,531,6,61,275,689,833,670,682,796,3,265,688,577,610,465,630,450,470,268,742,16,473,634,542,756,174,289,453,665,693,821,691,399,41,338,257,196,280,232,394,293,827,728,349,757,11,425,94,859,526,547,22,46,711,566,64,836,508,554,492,69,99,414,882,826,680,101,370,333,767,277,625,252,574,440,702,297,197,380,162,575,287,573,479,31,522,591,808,151,455,854,42,552,374,93,345,346,776,677,104,583,369,175,23,330,50,433,303,211,342,132,307,100,652,462,364,666,184,516,483,598,335,167,762,725,615,557,26,741,764,95,835,683,18,839,146,488,637,386,55,19,657,402,694,624,439,292,810,311,436,876,193,318,519,235,282,305,392,631,607,866,614,294,594,187,656,171,759,799,812,565,247,774,794,590,603,782,696,534,354,326,264,230,722
1: 555,14,467,628,442,155,272,471,582,27,204,503,669,627,334,186,362,15,772,532,299,52,664,651,798,329,881,489,648,761,108,373,514,201,259,655,249,320,636,788,391,381,466,562,154,358,428,256,673,76,300,327,195,302,239,137,225,518,400,476,541,877,846,549,710,310,224,633,48,499,829,360,538,862,133,316,352,707,770,543,558,638,376,181,737,350,684,172,851,477,28,668,281,242,53,58,784,872,511,576,107,714,548,62,131,613,500,647,158,740,418,377,858,884,81,738,372,661,771,279,529,578,443,811,49,393,600,437,57,10,550,726,685,9,818,512,746,699,679,215,616,533,868,735,540,800,672,139,765,4,234,662,44,361,838,179,383,570,457,246,687,284,135,164,604,454,192,267,507,203,417,709,67,493,240,841,456,723,733,105,291,409,530,860,25,126,405,419,398,121,620,82,789,36,368,66,708,671,397,408,496,844,110,312,202,87,778,480,148,313,563,170,278,505,458,254,650,219,233,70,367,244,595,751,847,845,592,340,658,271,20,619,813,754,546,579,724,435,227,618,237,421,674,667,387,143,559,588,865,273,441,159,324,535,434,856,415,80,315,85,185,304,263,191,2,236,690,705,116,744,481,729,348,173,736,220,698,527,260,807,639,86,403,852,269,787,238,308,33,501,459,825,153,351,221,32,695,60,321,758,261,136,285,749,831,288,250,206,74,396,176,200,460,431,504,243,769,490,883,612,681,748,75,561,331,814,149,147,253,608,109,646,622,635,73,867,777,469,537,720,494,420,879,363,763,795,343,502,241,401,861,880,686,166,478,341,1,210,753,177,150,564,654,389,8,773,385,43,704,750,404,190,422,388,700,245,739,286,169,601,585,649,837,163,849,716,12,98,790,30,29,593,461,40,337,218,248,581,319,283,295,423,641,843,424,438,356,199,568,207,586,182,697,863,134,194,642,830,474,357,119,72,645,5,842,809,727,168,63,198,805,822,229,875,56,816,45,65,536,678,545,59,486,160,427,571,539,445,217,37,712,599,213,760,90,766,103,17,432,178,407,482,792,626,21,779,544,732,353,382,96,487,448,828,498,560,692,785,223,515,484,39,102,298,325,801,123,92,183,606,344,621,413,623,878,701,706,513,803,84,715,165,713,142,676,78,115,853,524,864,660,451,124,416,79,804,77,832,717,857,375,730,721,7,509,793,339,138,653,54,88,209,659,97,569,491,214,270,152,855,347,410,731,617,644,301,255,157,703,262,747,231,130,567,205,336,68,129,609,226,24,506,38,589,823,296,47,885,802,113,528,276,89,472,118,34,611,426,35,355,188,390,745,783,106,752,596,605,806,112,824,768,51,755,786,602,817,675,780,587,180,869,874,873,743,13,328,406,819,447,111,797,379,208,556,640,128,597,216,306,359,430,309,122,520,848,632,871,412,395,584,189,145,572,475,228,719,161,850,366,141,815,314,629,322,114,444,521,71,378,266,495,144,663,258,734,140,775,463,251,365,332,580,485,781,820,551,834,523,449,718,510,222,791,371,840,452,384,464,870,323,317,517,91,127,468,497,290,446,117,553,643,429,525,83,125,274,212,120,156,531,411,6,275,61,670,689,833,682,796,265,3,688,577,610,465,630,450,268,470,742,16,634,542,473,756,174,289,453,665,821,693,257,691,338,399,41,196,280,232,394,827,293,728,349,11,757,94,859,425,547,526,22,46,711,566,64,836,554,508,492,69,99,414,826,882,680,101,370,333,767,277,252,625,440,702,574,297,197,162,380,575,287,479,573,31,522,808,591,151,455,42,552,374,854,345,93,346,776,104,583,369,677,175,330,23,50,433,303,211,342,132,307,652,100,462,364,666,184,516,483,598,167,335,762,725,615,557,26,741,764,95,835,683,839,18,146,488,637,386,55,19,657,402,694,439,624,292,810,311,436,876,193,318,519,235,305,392,631,607,866,614,294,187,594,171,759,656,799,282,812,247,565,774,794,590,603,696,782,354,326,534,264,230,722
1: 555,14,467,471,204,155,442,628,27,627,582,272,669,503,334,15,362,186,772,532,52,299,664,249,329,881,651,108,489,373,788,761,648,798,201,381,514,320,636,259,154,655,562,466,137,391,358,256,76,673,327,239,300,195,428,302,225,518,476,541,549,400,877,862,48,133,310,710,829,224,846,499,633,538,558,707,770,360,316,638,376,181,352,543,172,477,851,350,737,548,53,58,28,281,684,872,784,576,62,668,242,107,500,714,131,511,858,418,647,740,377,613,158,884,81,279,738,372,661,771,578,529,443,811,393,437,818,49,512,600,10,746,616,699,726,550,800,679,685,9,215,533,540,57,868,735,672,765,139,44,361,4,662,164,135,234,570,383,179,246,284,457,838,267,687,454,507,192,709,841,67,417,604,203,493,240,733,291,409,860,530,723,105,456,25,121,405,419,66,708,789,82,36,126,620,671,398,496,368,397,844,778,244,170,202,408,254,110,458,312,313,367,563,87,480,148,505,278,219,70,650,233,619,751,595,847,340,658,271,592,845,813,546,579,754,724,237,20,435,227,421,674,618,387,434,143,159,865,273,559,588,324,667,441,535,415,185,856,315,2,639,263,304,85,80,690,236,173,481,705,191,260,116,698,220,348,744,807,736,501,527,787,403,459,86,852,238,825,739,729,269,308,351,221,153,695,60,490,32,321,285,261,136,288,831,749,206,176,561,74,250,200,431,612,758,504,460,681,243,883,769,396,253,814,331,748,608,75,149,635,147,646,73,777,537,867,795,363,469,494,622,109,879,502,720,343,401,763,241,420,880,210,166,478,861,341,1,686,654,753,177,564,389,773,704,8,150,385,750,388,190,422,404,245,33,43,700,649,169,601,585,716,163,286,849,790,29,30,98,593,837,461,12,40,337,295,218,319,168,248,423,581,356,641,697,843,586,438,424,134,207,568,283,863,182,72,809,194,727,199,357,830,642,474,119,5,63,645,842,198,805,822,229,875,816,56,45,59,37,545,427,65,678,160,571,486,217,407,539,445,712,760,766,599,536,90,178,103,432,213,17,792,487,626,21,482,779,544,732,382,353,96,448,828,515,498,223,692,785,560,123,484,801,298,325,39,102,803,183,92,606,413,344,623,621,701,878,706,513,84,715,165,713,142,78,676,115,853,864,524,660,124,416,451,79,77,804,717,832,857,730,375,721,7,54,509,138,653,793,339,88,209,659,97,569,855,152,491,214,731,270,347,617,410,644,703,301,262,255,157,747,130,567,231,205,336,68,129,226,609,24,589,506,38,823,296,47,113,528,885,276,802,89,472,611,34,118,426,355,35,390,188,106,745,783,752,596,112,605,806,824,768,51,755,786,602,817,180,780,675,869,587,874,743,873,13,447,406,819,328,111,797,640,379,208,556,597,306,216,359,128,430,309,122,520,848,719,871,412,395,584,189,145,572,475,161,632,228,815,141,850,366,314,629,71,114,322,521,444,266,378,144,495,663,258,140,734,463,251,332,775,580,365,485,781,834,551,820,449,523,718,840,791,510,371,452,222,517,870,464,323,384,317,127,91,468,497,290,553,117,643,446,429,125,525,83,274,411,275,156,531,212,120,6,670,61,682,833,689,796,3,265,577,688,610,465,268,450,630,742,470,634,756,542,174,16,665,453,821,473,289,693,691,399,338,257,41,280,196,232,394,827,11,293,728,349,757,566,859,425,547,22,526,711,46,94,64,836,554,508,492,69,99,826,882,101,680,370,414,333,252,277,440,702,767,574,625,162,297,197,380,479,31,575,287,573,808,151,522,591,42,552,374,455,854,345,93,776,346,433,677,104,175,369,330,23,583,50,211,303,342,132,307,100,652,462,364,184,516,483,598,666,167,335,725,762,615,557,26,741,95,764,835,683,146,839,18,488,386,637,19,55,694,657,402,439,624,292,810,311,876,436,318,193,305,235,519,392,607,631,866,614,187,594,294,759,171,799,656,282,812,565,247,774,794,590,696,782,603,354,264,326,534,722,230
1: 555,14,467,155,442,27,582,272,627,628,503,669,15,334,186,362,532,249,52,772,664,299,881,329,651,108,788,373,489,761,648,798,201,381,320,636,259,154,655,466,562,514,391,358,256,76,327,673,239,300,137,195,302,518,225,541,476,549,428,877,400,829,862,224,133,48,310,558,846,499,633,710,770,181,538,707,360,376,316,638,352,477,543,172,851,350,548,58,737,53,28,784,281,858,107,684,377,62,242,872,500,131,714,511,576,647,668,740,418,158,884,613,81,279,738,661,578,372,771,529,443,811,818,393,800,437,600,49,10,726,679,512,699,550,616,746,685,9,215,533,57,540,44,135,868,672,765,139,735,838,662,361,234,4,570,179,383,267,284,164,246,457,687,507,417,291,192,454,604,709,493,203,240,841,860,67,733,530,409,723,121,456,419,66,25,105,708,405,368,789,36,126,620,82,496,398,397,844,202,671,505,778,170,244,563,408,458,110,87,254,313,480,312,367,70,650,278,219,619,148,751,233,847,595,340,271,845,658,592,546,813,579,237,754,674,227,724,435,20,2,421,434,387,618,143,865,159,535,324,273,559,667,441,415,185,304,639,85,315,263,690,856,173,236,260,220,698,588,80,744,481,705,116,807,348,527,758,787,736,852,459,403,825,86,238,739,191,269,308,221,351,695,60,32,686,153,285,261,321,288,749,136,831,501,250,176,200,74,431,206,460,561,612,883,243,504,681,253,729,769,814,748,608,331,75,149,147,635,490,777,73,867,537,646,363,795,494,396,469,109,879,720,502,343,401,420,241,880,341,210,861,763,478,166,622,753,654,564,1,177,389,773,8,150,704,385,190,388,750,404,422,33,43,245,700,649,169,601,163,168,585,849,790,716,29,286,30,837,593,98,12,218,461,40,248,319,423,337,283,356,581,295,843,641,586,438,424,697,568,207,134,863,830,199,194,357,72,182,727,645,809,63,119,642,474,5,198,822,805,842,229,56,45,875,816,487,59,545,678,65,160,539,217,37,427,571,445,486,712,760,407,178,599,90,766,432,536,103,213,17,792,626,482,21,779,544,382,732,353,96,828,448,498,515,803,560,692,223,785,123,298,484,801,325,102,183,92,606,39,413,344,623,621,701,878,513,706,715,84,713,142,165,676,78,864,115,853,524,660,451,721,124,717,79,804,832,77,857,54,730,416,375,7,509,88,793,138,653,339,569,209,97,659,152,855,214,731,270,491,703,347,617,644,410,262,301,255,157,747,130,567,68,231,336,205,129,226,24,609,506,589,38,823,296,113,528,47,885,276,802,89,472,611,34,118,426,35,355,390,188,106,783,745,112,596,824,752,605,806,768,51,786,755,602,817,780,675,180,587,869,874,13,743,873,447,156,819,328,797,359,111,379,640,208,556,597,216,306,128,430,309,122,520,719,848,871,412,395,189,584,572,228,145,141,632,161,475,850,815,366,314,629,71,114,322,521,266,444,144,378,495,663,258,140,734,463,251,775,332,580,365,781,485,551,834,840,820,449,523,718,517,791,452,510,371,222,464,870,323,384,317,127,91,497,468,553,117,290,643,446,429,525,411,125,83,61,212,406,274,120,670,6,275,682,796,833,531,689,3,265,610,577,688,465,268,450,470,630,742,542,634,16,174,756,453,821,473,665,289,693,257,399,691,338,566,41,196,232,394,827,11,293,728,349,280,757,425,859,547,22,526,46,94,711,64,836,554,69,508,492,99,440,882,370,414,101,680,333,252,277,826,702,767,625,574,162,197,297,380,374,31,287,575,573,808,151,42,522,591,552,479,455,854,345,93,776,346,433,677,369,104,175,330,23,583,211,50,303,342,132,100,307,462,364,652,184,516,483,598,666,167,335,725,762,615,557,26,741,764,95,835,683,146,839,18,488,386,637,19,55,694,657,402,439,624,292,311,810,876,436,318,193,305,235,519,866,392,607,631,614,187,594,294,759,799,171,812,282,656,565,247,774,794,590,696,782,603,354,326,264,204,534,722,471,230
1: 555,14,467,155,442,27,249,627,272,582,503,669,628,15,532,362,186,334,52,772,881,299,788,664,108,329,651,489,373,648,761,798,201,154,381,320,636,259,655,514,562,466,391,358,76,256,239,327,673,195,137,300,302,518,541,225,476,549,846,877,829,400,558,862,133,310,428,48,224,633,499,710,770,181,707,360,538,316,376,638,543,477,352,172,377,851,58,53,737,350,281,28,784,684,872,548,107,62,242,858,500,131,714,511,740,668,647,576,418,158,884,613,81,279,202,738,661,372,529,811,771,443,818,800,393,437,600,10,49,679,726,57,699,135,746,685,550,616,540,512,9,533,215,44,868,765,672,735,662,838,139,361,4,234,179,570,284,267,164,383,687,246,457,417,507,291,454,192,604,709,841,493,203,240,67,860,733,66,409,530,121,723,456,419,36,105,25,708,405,368,126,789,82,620,398,496,778,505,578,671,244,397,844,170,563,408,458,254,87,110,312,480,313,367,70,751,650,148,219,278,233,847,595,658,619,340,271,546,592,845,813,579,724,754,674,20,435,227,237,2,421,387,143,618,865,588,159,273,324,667,559,441,415,535,85,639,185,304,315,263,856,690,807,173,698,236,434,80,260,220,116,744,481,705,348,758,852,787,527,736,403,459,825,269,739,686,86,238,308,60,221,351,695,191,153,32,285,136,288,321,261,431,831,501,250,176,749,74,200,206,561,612,460,681,883,243,504,253,814,490,769,748,608,331,75,149,729,635,147,777,537,867,646,363,795,396,73,469,109,494,720,879,502,401,622,343,241,880,341,210,861,420,478,166,763,564,753,177,654,1,389,773,150,8,704,190,385,388,750,33,168,422,404,245,700,601,649,169,43,585,163,849,790,716,29,286,837,593,98,30,12,461,218,40,248,319,337,423,283,356,581,641,295,843,424,697,438,586,568,207,134,863,194,199,357,830,63,809,645,182,72,119,727,642,474,5,487,198,805,842,229,56,816,45,822,875,59,545,678,65,160,217,37,539,445,427,712,571,536,760,599,178,766,407,90,432,103,213,17,486,792,482,21,779,626,803,544,382,96,353,828,732,448,498,560,515,692,223,785,298,123,484,102,801,325,183,92,413,606,39,623,344,621,701,513,878,706,715,84,713,142,165,676,78,864,115,853,524,660,451,721,124,717,79,804,832,77,54,857,730,416,375,7,88,793,509,138,339,653,569,209,97,152,659,703,855,214,491,270,731,347,617,644,410,262,301,255,157,747,130,567,68,205,296,231,129,226,24,609,589,506,113,38,336,823,528,47,885,276,802,89,472,611,34,118,426,35,355,390,188,106,783,112,745,596,824,605,752,806,768,786,51,755,602,817,675,780,180,587,869,874,13,359,743,873,156,819,447,797,328,111,640,379,556,208,597,306,216,128,430,309,122,520,719,848,871,412,395,189,584,572,141,228,145,632,475,161,850,366,815,314,629,71,114,322,521,266,495,444,144,378,663,258,140,734,775,251,463,332,580,365,781,485,551,840,834,449,820,523,718,517,791,510,371,452,222,384,117,464,870,317,91,127,497,468,553,323,290,643,446,429,411,525,125,83,120,212,406,61,274,6,275,682,670,796,833,689,531,3,610,577,265,688,465,268,450,630,470,742,542,634,16,174,453,756,821,665,289,473,693,399,691,257,566,338,41,196,232,394,827,293,11,728,349,280,757,425,859,547,22,526,46,94,711,64,836,554,69,508,492,99,440,370,882,414,101,680,333,252,702,826,277,767,625,574,162,297,197,380,374,31,287,575,573,808,151,522,42,591,552,479,455,345,854,776,346,93,433,677,104,175,369,583,330,211,23,50,303,342,132,100,462,307,652,364,516,184,483,598,167,666,335,725,762,615,26,557,741,764,95,835,146,683,839,18,488,386,637,19,55,694,657,402,439,624,292,311,810,318,876,436,193,235,305,631,866,519,607,392,614,187,594,812,759,171,799,294,282,656,565,247,774,794,696,590,782,354,603,326,264,204,534,471,722,230
1: 555,14,722,442,467,27,272,155,627,669,503,582,532,628,186,15,362,52,334,772,788,881,489,664,108,299,651,329,373,761,798,648,201,154,381,320,655,514,636,259,466,562,391,358,76,256,239,673,137,195,327,302,300,541,518,829,476,428,225,549,558,400,877,133,862,48,846,310,499,224,633,770,710,181,707,538,360,316,376,638,543,352,477,377,172,851,58,737,281,53,350,684,28,548,107,872,858,62,242,784,131,714,740,500,511,647,576,158,418,884,613,81,202,668,279,372,661,738,529,771,818,443,811,57,393,437,679,49,135,600,10,800,726,685,699,746,616,550,540,512,9,215,533,44,868,735,765,672,838,662,4,361,139,179,267,234,284,164,570,383,687,246,457,417,291,454,192,709,507,604,203,860,493,67,240,841,733,409,530,723,66,456,121,708,36,105,25,405,505,126,368,82,789,620,398,578,419,244,778,458,496,397,408,170,844,671,563,480,313,110,312,254,367,650,87,70,148,219,278,233,751,845,595,847,658,340,271,546,592,619,813,579,754,674,2,724,20,387,237,421,227,435,143,618,865,686,159,273,324,667,535,315,441,559,85,588,185,415,807,856,263,304,80,690,260,639,698,236,116,744,173,220,852,787,481,758,705,348,527,736,459,403,825,33,434,269,86,238,308,60,221,351,153,561,695,32,285,136,321,261,288,431,749,490,176,74,200,206,831,250,191,460,681,253,612,814,501,243,883,504,769,331,748,608,149,75,729,147,795,635,109,777,646,73,396,537,363,867,469,494,401,622,879,343,502,720,241,880,763,341,210,420,861,753,166,478,564,1,654,177,389,150,773,8,704,385,388,750,739,168,190,404,422,700,245,601,43,649,163,585,169,849,716,29,286,790,837,98,461,593,218,30,337,12,40,356,199,319,248,423,641,295,581,843,697,424,438,207,586,568,283,357,134,830,863,194,63,182,487,72,727,642,474,809,645,5,119,198,805,842,229,816,45,803,875,56,59,678,545,217,822,65,539,427,160,445,571,599,760,178,90,766,37,712,432,103,213,17,536,486,792,407,21,482,626,544,382,779,96,828,732,353,448,560,498,515,692,785,223,298,102,123,484,801,325,413,183,92,606,623,344,39,621,701,513,878,706,715,84,713,142,676,165,78,864,115,853,524,451,660,721,124,717,79,804,832,77,54,857,730,416,375,7,88,793,509,138,339,653,152,569,97,703,209,659,491,855,214,731,270,347,617,644,410,262,301,255,157,747,130,567,68,205,296,231,129,226,24,609,113,589,506,38,336,823,528,885,47,276,89,802,118,472,34,611,426,35,355,112,390,783,106,188,745,817,824,605,752,806,786,768,51,755,602,596,675,359,780,587,180,869,13,874,873,743,156,819,447,328,797,111,640,379,556,208,597,306,216,128,430,309,520,122,719,848,871,395,412,584,189,572,141,228,475,632,145,850,161,366,815,314,629,71,114,322,521,144,266,495,444,663,258,140,378,734,775,251,463,332,580,840,781,365,485,551,834,449,820,517,718,523,510,791,452,371,222,117,464,384,870,317,127,91,497,468,553,323,290,411,446,643,429,61,525,83,274,125,406,212,120,6,682,670,275,796,689,833,531,3,610,577,265,688,465,450,268,542,470,630,742,634,16,453,174,756,665,821,693,289,473,399,257,691,566,338,41,196,232,394,11,827,293,728,280,349,757,425,859,547,22,526,711,94,46,836,64,69,554,508,492,99,440,101,882,370,414,252,680,333,277,826,702,767,574,625,162,197,297,380,374,31,287,575,573,151,808,522,591,552,479,42,455,345,854,346,776,433,93,677,104,175,369,583,330,211,23,303,50,342,100,132,307,462,652,364,184,516,483,598,666,167,335,725,762,615,26,557,741,764,95,835,146,683,839,18,488,19,386,637,55,694,402,439,624,292,311,318,810,876,436,193,305,235,657,631,866,607,519,392,614,187,594,812,759,799,171,294,565,282,656,247,774,794,696,590,782,354,603,326,204,249,264,471,230,534
1: 555,14,722,272,442,467,27,627,155,503,669,582,186,532,628,15,362,52,334,772,788,881,489,664,108,651,299,329,373,761,648,201,798,381,154,320,655,514,259,466,636,562,391,256,76,358,239,300,137,327,673,302,195,829,518,541,428,476,225,549,400,558,877,846,133,499,48,310,224,862,633,710,181,770,707,538,376,316,352,543,360,377,477,638,172,851,53,281,737,28,58,684,350,858,107,62,784,872,740,242,511,500,548,131,714,647,576,158,418,884,613,81,202,668,279,661,372,818,529,738,771,443,57,393,811,437,135,679,49,800,726,10,685,600,699,616,746,9,550,540,533,44,215,868,735,838,662,765,672,267,4,361,139,179,284,234,512,570,687,383,457,246,417,164,454,192,203,709,604,507,493,240,291,733,841,409,121,530,36,860,67,723,456,708,25,105,66,405,505,368,126,82,789,578,419,398,244,620,458,778,496,397,844,408,671,170,563,313,480,367,110,312,87,254,148,650,233,219,278,595,845,70,847,751,271,658,340,387,546,619,592,813,579,2,754,674,686,20,724,227,435,421,143,618,865,237,159,273,535,324,807,667,315,85,441,639,559,185,415,304,856,80,263,690,698,758,260,852,173,236,116,220,787,744,705,588,481,348,527,736,403,269,459,739,561,825,86,238,308,60,351,153,221,490,431,285,695,749,32,136,321,261,434,288,176,74,206,200,831,729,253,460,250,612,681,814,501,243,883,504,769,331,608,191,748,149,75,147,635,73,109,396,646,795,777,537,867,363,494,469,622,879,401,502,343,241,880,753,720,420,763,210,478,861,341,166,564,654,1,150,177,773,389,704,388,8,385,33,168,750,190,404,422,700,245,43,649,601,163,29,169,585,849,286,716,790,218,98,487,837,337,593,30,40,12,248,461,319,356,423,641,295,207,119,843,581,424,586,438,568,697,134,357,830,194,63,182,809,199,72,642,727,863,645,474,5,283,198,805,842,229,56,45,816,875,59,217,803,678,545,445,65,539,427,822,160,178,760,599,571,37,766,432,90,712,103,213,407,17,486,536,792,21,382,626,544,482,779,828,96,353,732,560,448,498,692,785,515,223,298,102,325,123,484,413,801,183,92,606,623,344,39,621,701,513,878,706,715,713,142,84,676,165,864,78,115,853,524,451,660,721,124,717,54,79,804,832,77,857,730,416,375,793,88,7,509,138,339,703,653,152,97,569,209,659,214,491,855,731,270,262,347,644,410,617,301,255,157,747,130,68,567,205,296,231,129,226,24,609,113,589,506,38,336,823,528,885,47,276,89,802,118,472,34,611,426,35,112,783,390,355,106,188,745,817,752,824,605,806,786,768,51,755,359,596,602,675,780,180,587,869,13,874,873,743,156,819,447,328,640,797,111,379,556,208,597,306,216,128,430,520,309,122,719,848,395,871,412,584,572,189,141,228,475,632,850,145,161,366,815,314,71,629,114,521,144,322,266,495,444,663,258,781,378,734,775,251,580,332,463,365,140,840,485,834,551,449,517,820,718,523,452,791,371,510,222,464,384,870,317,91,127,497,553,468,117,290,411,446,643,429,61,525,212,6,83,406,323,274,125,120,275,689,796,682,670,531,833,3,610,577,265,688,450,465,268,742,542,470,630,634,174,453,16,756,257,821,399,665,289,693,473,691,566,41,338,196,232,827,11,394,293,728,280,349,757,425,547,859,22,526,711,46,94,836,64,69,554,508,492,440,99,101,370,414,882,333,252,680,702,826,277,767,574,625,197,162,297,380,374,575,287,31,573,151,522,808,552,479,42,591,345,455,854,346,433,776,677,93,104,175,583,369,330,211,50,23,303,342,100,132,307,184,516,462,364,652,483,598,167,666,335,762,725,615,26,764,741,557,95,146,835,683,839,18,488,19,386,637,55,694,657,402,439,624,292,311,318,876,810,436,193,235,607,631,866,305,519,392,614,187,812,594,759,799,171,565,656,282,294,247,774,696,794,590,354,782,603,326,204,249,264,471,230,534
1: 555,14,722,442,27,467,627,272,155,669,503,186,582,52,334,15,362,532,628,881,489,788,772,664,108,299,329,651,373,202,154,761,381,648,201,798,636,391,259,655,320,466,562,256,76,195,137,239,829,358,327,302,541,518,300,673,514,476,549,133,558,400,225,862,877,48,499,770,310,224,376,707,846,633,710,638,181,316,543,477,538,377,172,352,360,53,851,858,28,58,107,428,737,62,350,684,500,281,784,740,131,511,872,647,158,242,714,418,548,818,576,884,81,613,279,661,372,738,800,529,771,616,811,443,393,135,437,668,679,49,699,726,540,685,550,10,512,600,533,9,44,746,215,868,735,57,672,765,662,267,179,139,361,4,234,284,838,570,687,246,383,291,841,457,203,240,417,192,709,604,733,36,454,507,708,121,409,456,164,860,493,66,405,25,505,723,67,105,82,844,368,578,419,789,530,496,170,620,126,458,398,244,686,480,397,408,563,778,367,110,312,313,671,254,148,595,650,70,219,278,87,233,2,847,658,271,340,619,387,751,813,592,546,579,227,724,845,754,20,435,421,535,143,618,674,807,639,865,159,273,324,559,667,315,185,758,85,441,304,415,856,80,263,260,220,237,852,173,698,787,690,116,236,744,588,705,348,527,459,481,403,825,736,739,561,308,238,269,86,60,431,490,221,351,153,285,695,32,191,136,749,176,321,261,74,288,253,501,814,200,206,250,831,434,460,883,612,504,769,243,681,729,331,748,147,149,401,608,75,396,777,635,646,73,537,494,363,867,622,795,879,720,469,109,343,502,241,168,763,880,210,654,753,564,861,420,478,166,773,341,389,1,177,8,388,33,150,385,190,245,704,750,700,404,422,601,163,649,169,29,849,337,487,585,790,803,716,98,218,837,593,40,12,30,286,356,248,319,423,641,43,295,586,843,63,568,581,461,424,438,134,830,357,727,207,697,863,72,182,809,645,283,474,194,642,5,842,805,199,229,816,56,45,198,875,217,119,539,445,678,59,545,160,65,760,427,382,599,178,571,766,432,103,37,90,213,712,407,486,17,792,822,626,21,544,482,536,353,828,96,779,732,515,448,560,498,692,785,298,223,413,102,484,123,801,325,183,606,623,92,344,621,701,39,706,513,878,715,84,713,142,864,676,165,78,115,853,524,451,660,721,124,717,54,79,832,804,77,730,793,416,857,7,375,88,703,509,339,569,138,653,644,152,209,262,659,214,491,855,270,731,347,97,617,410,301,255,747,130,157,567,205,68,296,113,231,129,226,589,528,609,24,38,506,336,823,885,47,526,276,89,802,472,118,34,611,426,35,355,112,106,390,783,188,605,817,745,824,752,786,806,359,768,51,755,596,602,675,780,447,180,587,13,869,874,743,156,819,873,640,328,556,379,797,111,208,597,306,216,128,430,520,309,122,719,871,848,189,395,584,412,572,228,141,145,632,475,161,850,366,815,314,114,71,322,629,521,144,495,266,663,444,781,734,258,378,840,775,251,332,834,365,140,580,463,485,551,449,517,820,523,452,510,371,791,718,464,222,870,384,317,127,553,91,468,497,323,290,411,643,446,6,429,670,406,117,61,275,212,525,125,274,83,682,689,531,120,796,833,610,3,577,265,465,566,688,268,742,634,470,257,630,756,450,174,542,399,16,821,665,473,289,693,338,453,691,41,196,232,11,827,293,728,349,280,394,757,425,547,859,22,711,94,46,836,64,554,508,492,69,440,370,99,882,252,101,702,414,826,277,333,680,574,767,197,625,374,380,297,162,31,575,287,573,808,552,479,151,522,455,42,345,591,854,583,776,346,93,175,677,433,369,104,330,211,50,303,342,100,23,132,462,516,184,307,364,598,483,652,167,666,335,725,762,615,26,764,741,557,146,95,835,683,839,18,488,19,386,55,637,694,439,402,624,311,292,318,876,436,810,235,193,607,866,657,631,305,392,519,614,187,812,594,759,799,565,656,171,282,294,247,354,696,774,794,590,204,326,603,249,782,471,264,230,534
1: 555,14,722,442,627,467,27,272,669,155,503,186,582,52,334,362,15,532,881,489,788,664,628,772,108,651,329,373,202,299,154,761,381,201,648,636,259,798,391,655,320,466,562,256,76,195,137,829,358,518,239,327,541,302,300,673,514,133,549,476,400,558,225,877,862,48,224,499,310,770,376,846,707,633,181,710,638,316,543,477,172,548,538,352,360,851,53,107,858,58,28,377,737,62,500,350,784,740,281,428,684,511,131,158,647,242,818,872,714,418,884,576,81,613,279,135,661,372,771,800,811,616,738,393,529,443,679,668,437,49,699,726,685,10,550,44,512,533,540,600,746,215,868,735,9,57,662,267,672,179,765,139,361,234,4,838,284,570,687,246,383,291,841,457,203,192,240,417,604,709,121,733,66,860,454,507,493,36,164,708,409,405,456,25,505,67,458,723,105,82,578,419,844,620,368,244,170,789,530,398,496,686,126,480,397,408,778,367,563,110,312,671,148,313,254,595,387,70,219,650,87,233,2,278,847,271,658,845,813,751,340,592,546,579,724,619,435,754,227,20,421,535,143,618,674,639,865,807,273,159,324,185,559,315,758,667,415,304,856,441,85,263,787,80,690,852,260,173,220,116,236,588,698,705,744,527,348,459,403,739,237,825,481,736,269,308,238,86,60,561,285,431,153,351,695,221,32,490,136,749,253,176,321,250,501,261,288,74,814,200,191,831,460,681,883,206,612,504,331,434,243,769,748,149,147,729,75,401,608,777,73,363,646,635,168,867,494,537,879,795,109,720,343,469,396,502,763,241,654,753,880,210,341,150,861,564,166,478,773,389,177,1,33,487,8,388,385,190,750,245,704,700,622,422,404,163,601,649,849,420,29,169,585,337,790,803,716,98,218,837,593,12,356,286,30,641,40,248,319,423,43,295,586,63,843,461,568,424,134,438,581,830,697,357,727,863,207,72,474,283,645,182,194,642,5,809,119,842,805,229,45,198,816,217,199,56,875,539,678,445,545,59,160,65,760,382,427,571,178,599,37,103,432,766,712,90,407,213,486,17,792,822,626,21,544,482,536,353,828,96,779,732,560,448,515,498,692,785,298,223,413,102,123,801,484,325,183,606,623,92,344,621,701,706,878,513,715,39,84,713,142,864,676,78,165,115,853,524,451,660,721,717,124,54,79,832,804,730,793,77,416,703,857,88,375,7,569,339,509,138,152,644,653,262,209,659,214,491,855,270,731,347,97,617,410,301,255,747,130,157,205,567,68,296,231,113,129,226,589,609,528,24,38,506,34,823,885,47,276,526,89,611,802,472,336,118,426,112,35,355,106,783,188,390,605,817,745,824,359,752,786,806,768,51,755,596,602,447,675,780,180,13,587,874,869,873,156,819,743,640,328,556,797,379,111,597,208,306,216,430,128,520,309,871,719,122,848,395,584,189,141,228,412,572,632,145,475,161,850,366,815,314,71,114,322,629,144,495,521,266,663,444,781,258,734,840,378,775,251,834,140,332,365,580,463,485,517,551,449,820,523,452,510,371,791,718,464,870,222,384,553,317,91,127,468,323,497,290,411,61,643,446,429,406,117,6,670,275,212,689,525,125,274,682,83,531,120,796,833,610,3,577,265,566,688,465,257,268,742,634,470,630,174,453,756,16,821,399,473,665,542,289,693,338,450,691,41,196,232,11,827,293,349,728,280,394,757,425,547,859,22,711,94,46,836,64,554,508,69,440,370,492,99,252,882,702,101,414,826,277,680,333,574,767,197,374,625,297,380,162,287,31,575,573,151,552,479,808,522,455,42,345,583,591,854,776,346,93,175,677,433,369,104,330,50,211,303,342,132,100,23,307,516,184,462,364,483,598,167,652,666,335,725,762,615,26,95,741,764,146,557,835,683,839,18,19,488,386,637,55,694,439,402,311,624,292,318,876,436,810,235,607,866,193,657,631,305,614,392,519,187,812,759,656,799,565,594,171,282,294,247,354,774,794,696,249,204,590,326,603,782,471,264,230,534
1: 555,14,722,627,272,442,669,27,467,155,503,52,186,582,362,532,15,334,881,788,489,664,628,772,108,651,329,154,373,202,299,761,201,648,381,391,636,655,798,259,466,320,562,256,829,76,137,195,327,358,518,239,302,300,541,673,133,476,558,400,549,225,514,877,862,310,48,770,499,181,224,846,376,633,707,710,638,543,316,538,548,172,352,477,360,107,851,53,858,58,377,28,62,737,500,350,281,818,740,428,784,158,511,131,242,647,684,714,576,418,872,884,81,135,279,613,372,661,616,800,771,738,811,529,393,443,668,679,437,49,726,699,685,44,10,550,512,533,540,746,600,735,868,9,662,57,215,267,765,179,672,139,361,284,838,234,4,687,383,570,246,841,457,203,709,240,291,417,192,604,121,860,733,454,66,164,36,507,493,458,456,409,708,405,67,505,25,105,723,578,686,82,844,620,368,496,170,789,419,398,244,530,126,408,367,480,397,778,563,313,312,110,148,2,254,595,87,387,70,650,233,278,219,271,847,671,658,751,813,340,592,845,546,579,435,724,754,227,20,421,143,619,674,535,807,618,273,865,324,159,758,185,559,315,667,85,304,639,856,787,415,441,263,690,80,173,852,260,561,236,220,116,698,744,705,739,588,527,348,403,459,736,825,481,269,308,237,238,60,86,695,153,351,431,490,285,221,32,250,136,749,487,321,253,176,288,814,74,261,191,200,883,460,831,206,501,612,504,243,681,331,769,748,434,149,75,147,401,608,777,73,363,168,646,537,879,795,494,867,635,109,729,720,343,469,502,241,654,753,763,880,396,210,564,341,166,478,773,861,177,1,33,150,389,8,388,750,190,704,803,385,700,245,404,422,163,601,622,649,585,790,849,169,29,420,337,716,98,837,286,218,356,30,40,12,593,248,641,43,423,319,63,295,586,461,843,581,568,697,424,134,438,830,357,727,207,119,863,645,474,72,182,194,199,642,5,809,805,842,217,283,229,816,875,198,56,45,678,445,539,382,545,59,160,65,760,37,427,571,432,103,599,178,766,407,712,90,213,486,17,792,822,626,21,544,536,482,353,828,96,779,732,560,448,515,498,785,692,298,223,413,801,123,484,102,325,183,92,623,606,344,621,701,706,878,513,715,39,84,713,721,864,676,78,165,115,853,524,451,660,142,124,717,54,79,703,832,793,730,804,416,88,77,569,857,375,7,339,138,509,152,644,653,262,209,214,659,491,855,270,347,617,97,731,410,301,255,130,747,157,205,567,68,296,231,113,129,589,609,226,528,24,38,506,34,823,885,47,276,89,526,802,611,472,336,118,426,112,35,355,106,359,783,188,390,817,605,745,824,786,752,806,768,51,755,596,602,447,675,780,13,180,587,874,869,873,156,819,743,640,328,556,379,797,111,597,208,306,216,430,128,520,309,122,719,871,848,395,584,141,189,228,572,412,632,475,145,850,161,366,815,314,71,114,629,144,322,495,521,266,444,663,258,734,840,834,378,775,365,781,251,332,580,485,463,517,449,551,140,523,820,510,452,371,791,718,222,870,464,384,553,317,91,127,117,497,468,290,411,61,446,643,6,406,323,429,670,275,212,682,689,125,120,274,525,531,83,796,833,610,577,3,265,688,566,257,465,268,742,634,470,630,174,453,756,16,821,473,542,399,665,289,693,338,450,691,41,196,232,11,827,293,280,349,394,728,757,547,425,859,22,711,94,46,836,64,554,69,440,508,370,492,99,101,252,702,882,414,826,277,333,680,574,767,197,374,625,380,297,162,287,31,573,575,552,479,151,808,522,455,42,345,583,854,591,346,776,93,175,369,433,677,104,330,303,50,211,132,342,100,23,516,184,307,364,462,483,598,167,652,335,666,725,762,615,26,95,146,741,764,557,683,835,19,839,18,488,386,637,55,439,694,402,311,624,318,292,876,436,235,607,810,866,193,657,631,305,614,392,519,187,812,759,656,799,565,594,171,282,294,247,354,774,249,204,794,696,603,326,590,782,471,264,230,534
1: 555,14,534,627,442,272,722,27,669,155,503,467,186,52,582,532,362,15,489,881,334,788,628,664,772,108,329,154,651,202,373,761,201,648,299,381,391,636,798,259,655,320,466,562,256,195,76,327,358,829,239,300,518,302,137,673,541,558,133,476,770,877,514,549,400,225,310,862,48,499,846,181,224,376,707,633,477,316,548,538,543,710,638,172,352,107,53,360,377,851,858,28,62,737,58,740,350,500,281,818,511,158,784,684,242,131,428,714,647,418,135,872,576,884,613,81,279,800,372,661,771,738,811,616,529,57,393,443,437,679,49,512,726,699,44,685,10,533,550,540,668,746,600,735,9,868,662,215,765,179,267,291,672,139,361,234,4,570,284,687,383,246,841,709,838,457,860,417,203,240,604,121,164,192,733,36,458,66,507,454,493,708,409,505,456,25,405,244,578,67,723,105,368,82,844,686,170,398,620,496,126,778,530,789,408,367,419,397,480,387,563,2,312,313,110,595,487,751,254,650,233,70,148,219,87,278,847,271,813,658,592,671,340,546,754,724,579,227,435,421,20,143,845,674,807,535,618,273,865,324,185,619,667,559,85,159,315,758,856,304,787,852,441,415,690,263,80,639,173,260,116,220,744,236,698,348,739,561,705,527,736,403,825,459,481,308,269,490,238,86,60,695,588,153,431,285,351,221,32,237,253,749,136,321,250,176,288,814,191,831,200,74,883,261,681,460,168,206,612,504,243,769,501,331,748,401,149,75,608,147,434,777,537,73,363,795,494,109,879,646,729,635,867,343,720,469,502,241,763,753,654,803,880,210,564,341,478,166,773,861,1,33,150,177,389,388,8,190,750,396,404,700,385,245,704,422,163,622,585,337,849,790,601,649,420,29,169,716,98,218,286,837,40,356,12,593,30,641,43,248,423,319,63,461,295,586,843,119,568,581,424,830,134,438,697,357,863,207,727,645,474,72,199,182,194,642,805,5,809,217,283,842,229,198,56,875,816,539,45,445,678,382,545,760,160,65,59,427,432,571,178,712,37,766,103,599,486,213,90,407,17,792,536,626,21,544,822,482,96,828,353,779,560,732,448,785,498,515,692,298,223,413,484,801,102,123,325,183,606,623,92,344,621,701,715,706,878,513,39,676,713,721,864,84,78,165,115,853,524,451,660,142,717,124,54,703,79,793,88,832,730,416,804,569,77,375,7,857,339,509,138,262,644,152,653,209,214,491,659,855,270,617,731,97,347,410,301,255,747,130,157,205,567,68,296,113,231,129,589,609,226,528,24,38,506,34,823,885,47,276,89,526,611,472,802,336,118,426,112,35,359,106,355,605,783,188,817,390,824,745,786,752,806,768,51,755,596,602,447,13,675,780,587,180,873,874,869,156,819,743,640,328,556,379,797,111,597,306,208,216,430,128,520,309,871,719,122,141,395,848,584,228,189,572,412,632,475,145,850,366,161,314,815,71,114,629,495,144,521,322,258,266,663,840,444,834,734,775,365,378,781,251,485,517,332,463,580,449,551,140,523,510,820,452,371,718,791,222,553,464,870,384,317,91,497,117,127,468,290,411,61,446,429,643,406,323,6,670,275,212,274,682,689,525,120,531,83,125,796,610,833,577,3,688,265,566,257,465,634,268,742,470,630,756,453,174,821,16,542,665,473,399,289,338,450,693,41,691,196,232,11,827,293,728,280,394,349,757,547,425,859,711,22,94,46,836,64,554,69,440,508,370,492,99,702,882,252,101,414,826,333,277,680,574,767,197,374,380,297,625,162,287,573,575,552,479,31,151,808,522,455,42,345,583,854,591,346,776,369,93,433,175,677,104,330,50,303,211,132,100,23,342,516,184,307,364,462,598,167,483,652,335,666,725,762,615,26,764,146,741,95,557,683,835,19,839,18,488,386,637,55,439,694,402,311,624,318,292,876,436,235,607,866,810,657,193,631,305,614,392,519,187,812,759,656,565,294,799,171,282,594,249,354,247,774,204,696,794,603,590,326,782,471,230,264
1: 555,14,722,442,272,534,27,669,155,503,467,186,582,52,532,362,489,15,881,334,788,664,628,772,381,108,202,154,329,651,201,373,299,761,648,636,798,391,655,259,320,466,562,256,327,195,76,133,829,358,137,239,518,300,541,302,673,476,770,846,549,558,310,400,862,225,514,877,48,224,376,499,633,707,548,181,477,172,316,710,543,538,53,377,638,107,352,360,851,858,28,62,500,428,58,740,158,818,131,737,784,684,714,511,647,350,418,135,281,279,242,872,884,800,81,613,372,616,576,661,443,811,529,738,291,393,771,679,726,699,512,49,44,437,685,533,179,540,487,746,550,868,9,735,215,600,10,765,668,267,662,672,139,361,284,687,570,4,234,841,383,246,860,457,709,417,192,57,458,604,708,240,121,203,493,36,733,409,686,507,454,66,25,405,368,505,578,838,244,456,844,170,723,164,398,105,126,620,82,530,496,387,397,67,789,778,480,408,367,2,254,419,595,233,70,312,563,110,313,87,148,650,219,278,751,813,847,671,271,658,592,546,340,435,20,579,724,561,143,754,421,227,807,674,535,618,273,803,185,559,304,865,324,315,159,845,85,856,852,263,667,173,619,787,220,690,415,441,80,260,698,116,348,739,639,236,744,481,459,705,527,825,403,60,168,736,269,308,86,238,758,695,253,351,153,285,32,221,490,749,431,681,136,250,321,176,288,588,261,883,200,74,460,150,814,612,831,401,243,237,504,206,769,608,331,748,149,75,494,501,147,73,777,363,879,795,537,343,109,191,867,646,635,763,720,502,469,241,753,434,654,210,564,880,773,341,166,33,729,177,478,1,389,861,388,8,396,245,385,700,190,422,404,704,337,420,750,163,585,790,849,601,29,622,649,169,716,286,218,98,40,12,593,43,356,63,423,641,30,461,319,248,837,295,586,119,830,843,727,697,357,863,424,568,581,438,207,199,134,72,645,474,842,805,182,217,283,194,5,642,809,229,539,56,816,875,445,678,45,198,712,760,382,65,160,59,545,427,486,432,178,766,103,571,213,599,37,90,17,407,792,626,822,544,21,536,482,828,96,353,560,779,732,515,448,223,498,692,298,785,413,801,123,102,484,183,325,606,721,344,92,621,701,715,706,513,878,864,84,713,623,39,676,78,115,165,853,524,451,717,142,124,660,703,54,793,79,88,569,832,416,730,804,77,375,7,857,262,339,509,152,644,653,138,209,214,659,855,491,270,731,617,97,347,410,301,130,255,747,567,157,113,205,296,68,231,589,226,129,528,609,24,38,506,34,885,823,47,276,89,611,526,472,118,336,112,426,802,359,35,355,106,605,188,786,817,824,745,390,783,752,806,768,51,755,596,602,447,13,780,180,587,675,869,743,874,156,819,873,640,556,379,328,797,111,597,208,306,216,430,128,309,871,141,719,122,520,395,572,848,189,584,228,412,475,145,850,161,366,314,114,815,71,632,629,840,834,495,322,144,521,663,266,258,734,444,775,332,781,251,365,517,378,463,485,580,449,551,140,510,523,371,820,452,718,553,791,222,870,464,317,384,91,117,497,127,468,411,290,643,61,6,429,406,323,446,670,275,682,610,120,689,125,274,531,212,525,83,796,833,577,265,3,688,566,257,465,634,742,268,470,756,453,174,630,821,16,665,473,289,338,399,693,450,542,691,41,196,232,11,827,293,280,728,349,425,547,394,757,859,22,711,94,46,64,836,554,508,440,492,69,882,252,370,99,826,702,277,333,101,414,680,374,574,767,197,380,297,287,625,31,162,552,479,575,573,151,808,522,455,42,583,854,591,776,345,346,433,93,175,677,330,369,104,50,211,100,132,303,342,23,516,307,184,364,167,462,483,598,652,335,666,725,762,615,26,146,95,741,764,557,683,835,19,839,18,488,386,55,439,637,402,694,311,624,318,292,607,235,876,436,866,810,657,631,193,614,305,392,187,519,812,759,565,249,799,294,171,282,594,354,656,204,696,774,247,794,603,326,471,590,782,230,264,627
1: 555,202,722,442,534,27,669,503,155,186,52,489,467,532,362,582,15,788,881,334,664,628,772,381,154,14,108,329,651,201,373,648,299,761,310,798,636,655,391,259,320,487,466,562,256,195,327,829,76,558,358,518,133,239,541,300,302,137,770,673,476,549,400,877,846,862,225,48,224,376,477,633,499,514,181,172,707,710,53,316,543,538,107,638,360,352,851,858,28,158,62,377,500,818,740,58,131,737,135,784,350,511,548,684,647,714,418,281,279,242,872,613,291,884,81,372,616,771,811,576,661,443,529,800,738,393,679,437,726,428,699,44,49,685,540,533,179,550,9,746,868,215,10,735,765,267,600,662,672,139,687,361,284,512,4,234,570,841,383,860,57,246,709,457,708,417,686,458,121,192,604,240,36,368,203,493,668,733,409,405,507,66,454,25,244,578,838,505,844,456,170,398,164,723,105,126,620,530,82,789,387,67,367,397,408,496,2,595,778,70,480,803,233,563,110,312,254,313,419,148,650,219,278,751,271,813,546,87,658,592,435,847,340,579,421,724,20,671,807,754,143,535,674,227,618,273,561,185,315,865,324,304,559,85,159,639,852,856,667,263,787,173,168,415,80,441,220,260,690,698,348,739,845,116,744,481,236,705,60,459,825,527,403,619,269,736,86,308,238,695,490,253,351,285,153,32,431,681,150,221,749,250,136,176,321,758,288,261,460,200,74,588,883,814,831,612,504,237,401,243,608,206,769,149,331,501,748,147,494,777,75,73,363,879,343,191,109,646,867,795,537,635,763,502,720,241,434,469,753,654,210,564,880,773,33,729,341,166,177,1,388,389,396,861,478,8,245,700,385,190,420,750,422,704,404,337,585,622,163,790,849,29,649,601,286,169,716,218,98,43,63,40,356,12,593,461,30,641,423,248,319,837,295,119,586,843,830,727,697,357,863,568,581,424,438,207,134,72,842,645,474,217,199,805,182,194,5,809,642,283,816,539,229,56,875,445,678,45,198,712,382,760,160,65,545,427,59,432,766,178,103,571,213,37,599,486,90,17,407,792,626,822,21,544,536,482,828,353,96,779,560,732,515,448,413,223,498,298,692,785,801,123,102,484,183,325,606,721,344,92,621,701,715,706,878,513,864,676,713,623,84,39,78,115,165,524,853,451,54,142,717,703,124,660,793,88,569,79,832,416,730,804,77,375,7,262,857,339,509,152,644,138,653,209,659,214,855,491,270,617,731,97,347,410,301,130,255,747,567,157,205,113,296,68,231,528,226,129,589,609,24,38,506,34,823,885,47,276,89,611,526,472,112,336,118,426,359,802,35,106,605,355,786,188,817,824,745,783,752,390,806,768,755,51,596,447,13,602,780,180,587,675,869,743,156,819,640,873,874,556,379,328,797,111,597,208,216,306,430,128,141,309,395,871,572,520,122,848,584,189,228,719,412,475,850,145,161,366,314,114,632,840,815,71,834,629,495,144,521,322,258,663,266,734,444,775,251,781,332,365,517,463,378,580,485,449,140,551,510,523,371,452,820,718,553,791,222,464,870,317,384,91,117,497,411,127,468,290,6,61,643,406,323,429,446,670,275,610,682,274,689,120,525,566,125,212,83,796,833,577,688,257,531,3,265,465,634,742,268,470,756,453,174,821,630,16,665,473,289,338,542,399,450,691,693,41,196,232,11,827,293,280,349,728,547,394,425,757,859,94,22,711,46,64,836,554,440,508,492,69,882,370,252,99,826,702,333,277,101,574,374,680,414,767,197,380,297,287,552,479,162,625,31,151,575,573,808,522,583,455,42,854,591,776,345,433,346,369,93,677,330,104,175,50,100,211,132,303,342,23,516,184,307,364,167,462,483,598,652,335,725,666,762,615,26,146,764,741,95,557,683,835,19,839,18,488,386,55,439,637,694,311,402,318,624,292,235,607,876,866,436,631,657,810,193,614,305,392,187,519,565,249,759,799,812,171,204,282,294,354,594,696,656,774,247,603,471,326,794,590,782,230,264,627,272
1: 555,282,489,272,442,534,27,722,669,503,52,155,186,582,467,532,362,15,788,334,881,664,772,628,381,108,310,14,329,154,201,651,373,487,648,761,299,636,320,655,259,798,391,558,466,256,562,829,327,195,358,518,76,770,133,239,673,302,541,300,476,549,877,400,137,862,477,225,48,224,376,181,633,846,499,707,172,53,710,316,543,538,514,107,638,352,360,851,818,28,58,377,858,62,158,500,740,135,131,784,350,418,548,684,737,511,647,714,281,242,279,872,291,613,884,81,771,372,661,811,616,576,529,800,443,738,393,437,679,726,428,699,49,44,685,540,533,9,179,550,746,868,215,735,765,686,267,10,687,662,672,600,139,284,361,234,570,4,841,383,57,860,246,458,709,457,512,417,192,121,708,36,240,604,368,203,668,244,405,507,493,409,733,505,66,578,838,454,25,844,456,398,170,164,723,105,126,789,387,620,67,82,2,530,70,367,595,397,496,408,803,233,778,563,480,312,110,254,313,419,148,650,219,271,751,278,658,87,813,546,592,847,435,20,340,671,421,724,579,754,143,807,227,535,273,618,168,674,185,324,865,304,315,561,852,85,559,159,856,150,415,667,787,80,263,441,690,220,739,639,173,744,348,260,698,236,116,481,705,845,60,459,825,527,403,736,269,758,308,238,695,86,253,351,285,619,153,681,749,431,32,221,250,490,136,176,321,288,261,460,588,200,74,883,831,612,814,237,504,401,243,608,206,769,501,331,149,748,147,777,494,73,75,363,109,191,795,867,879,343,646,537,502,635,763,434,241,469,720,654,753,210,341,33,396,564,773,177,166,880,388,1,729,389,861,478,8,700,245,420,190,385,750,422,337,704,404,585,163,622,849,790,29,649,286,601,716,169,43,218,63,98,40,12,461,356,30,593,641,423,248,837,319,295,843,586,830,119,357,727,581,863,568,697,134,424,438,207,72,217,199,645,474,805,194,182,842,5,642,809,816,229,539,56,283,445,875,678,45,712,198,760,59,160,65,382,427,545,432,766,178,103,37,571,213,486,599,90,407,17,536,792,626,822,544,21,482,828,96,353,779,560,732,413,448,515,223,692,298,785,498,801,102,123,484,183,325,606,721,344,92,621,701,715,706,878,513,864,676,713,623,84,78,165,115,39,524,853,451,54,142,717,703,124,660,793,88,569,79,730,416,832,804,77,375,7,262,857,339,509,152,644,138,653,209,491,659,214,855,270,617,731,97,347,410,301,130,255,747,567,157,113,205,34,68,231,528,226,129,589,24,609,38,506,296,885,823,47,276,89,112,611,526,472,118,336,426,359,802,106,35,355,605,786,188,817,824,745,783,752,390,806,768,755,51,596,447,13,602,180,780,587,675,743,869,873,156,819,640,874,556,379,328,797,111,597,208,216,306,430,128,141,395,572,309,520,871,122,584,848,189,719,228,412,475,850,145,366,161,840,314,114,71,815,834,629,495,144,521,632,258,322,266,663,734,444,775,365,781,517,332,251,580,485,463,378,449,140,551,510,523,371,452,820,718,553,791,222,464,870,384,317,91,117,497,411,468,290,127,6,61,643,406,323,446,429,670,610,275,682,689,274,525,566,120,212,125,796,83,833,577,3,688,531,257,265,465,634,742,268,470,453,756,174,821,16,630,665,473,542,289,450,338,399,691,693,41,196,232,11,280,827,293,728,349,547,394,425,757,94,859,22,711,46,836,64,440,554,508,370,492,69,826,882,252,99,702,333,101,374,277,680,574,414,767,197,380,297,287,552,479,625,162,31,151,575,573,808,522,583,42,455,854,591,345,776,433,346,369,677,93,104,330,175,50,100,211,132,303,342,23,516,184,307,364,167,462,483,598,652,335,615,666,762,725,146,26,764,741,95,557,683,835,19,839,18,488,386,55,439,694,637,311,402,318,624,292,235,607,866,876,436,631,657,810,193,614,305,392,187,565,249,759,519,799,204,812,171,202,294,354,594,696,656,774,603,247,471,326,794,590,782,230,627,264
1: 555,282,264,442,534,27,722,52,669,503,155,186,467,532,582,362,15,788,881,310,487,664,334,772,381,14,628,108,329,154,651,201,761,373,648,299,636,558,320,655,391,259,466,256,798,562,195,327,518,829,133,358,770,76,239,302,300,549,673,476,541,877,846,400,862,225,48,224,477,376,137,181,499,633,172,707,53,710,514,316,543,538,107,638,352,818,360,851,858,377,135,28,158,62,500,58,740,131,784,548,418,684,281,350,737,511,714,647,279,291,242,872,613,884,811,771,372,661,81,616,576,529,443,738,393,437,686,679,699,726,49,685,44,533,540,800,550,179,9,215,746,868,735,428,765,284,267,662,10,672,57,687,600,139,361,234,841,4,570,383,860,458,246,512,708,192,417,709,457,240,668,505,244,368,121,36,604,66,203,405,578,838,454,409,507,733,493,25,456,844,164,398,170,2,723,105,67,126,387,789,620,367,70,233,82,595,530,803,496,397,408,778,563,480,313,110,87,254,312,148,219,650,278,658,419,271,813,751,546,592,340,20,421,671,847,435,724,579,143,754,807,535,227,674,168,273,618,315,185,304,561,865,324,85,667,852,559,787,150,159,856,415,80,263,441,173,739,639,744,260,690,220,348,481,236,116,698,845,60,459,705,825,527,269,403,736,758,308,238,695,86,253,153,351,619,285,681,431,749,32,221,490,250,136,176,321,460,288,261,588,200,883,74,831,814,237,504,612,608,243,401,206,769,501,748,331,149,147,777,75,494,191,73,795,109,363,867,343,537,646,879,434,502,635,763,753,241,210,654,469,33,729,720,341,773,564,880,166,177,396,1,8,388,861,389,478,190,622,700,245,385,750,337,422,704,420,404,163,585,849,286,790,29,649,601,43,716,169,218,98,63,40,12,356,593,30,119,641,423,837,248,319,295,461,843,830,586,727,357,697,581,863,568,424,207,438,217,199,72,134,645,182,474,805,194,842,5,642,816,809,539,229,56,875,678,445,283,45,198,712,760,160,59,65,382,427,545,432,37,178,766,103,571,213,599,90,407,486,17,536,792,822,626,544,21,828,96,482,560,353,779,732,413,448,223,515,692,298,785,498,801,102,123,484,183,325,606,721,344,92,621,701,715,706,878,864,513,676,713,623,84,78,115,165,39,524,853,451,703,142,54,717,124,660,88,793,569,79,730,416,832,804,77,262,7,375,857,339,509,138,644,152,653,209,214,491,659,270,855,617,731,97,347,410,301,130,255,747,113,567,157,205,34,68,231,528,226,129,589,24,609,38,506,296,885,823,47,276,89,112,611,526,472,118,336,426,359,802,35,106,355,786,605,188,817,824,783,745,390,752,806,768,755,51,596,447,13,602,780,180,587,675,743,869,156,819,873,640,874,556,379,328,797,111,597,208,430,216,306,128,572,141,395,520,871,309,122,584,848,189,719,475,228,412,850,840,145,366,161,314,114,71,815,834,144,629,495,632,258,521,266,663,322,734,444,775,517,781,365,332,251,378,485,580,449,463,140,551,510,523,371,452,718,820,553,791,222,464,317,384,870,411,117,91,497,468,290,127,6,61,406,323,643,610,429,446,670,275,689,682,120,212,566,274,125,525,796,83,833,577,257,531,3,688,265,465,634,742,268,756,453,470,174,821,16,630,665,542,473,450,338,289,399,691,693,41,196,232,11,280,827,293,728,349,394,547,425,94,757,859,22,711,440,836,46,64,554,508,370,252,69,826,492,882,702,99,101,333,374,277,414,680,574,767,197,380,297,287,552,479,162,625,31,575,151,573,808,522,583,42,455,854,345,591,776,433,346,369,93,330,104,677,175,50,100,211,132,303,342,516,23,307,184,364,167,462,483,598,652,335,764,666,762,615,146,26,725,741,95,557,683,19,835,839,18,488,386,311,439,694,55,637,402,318,624,292,235,607,866,876,436,657,631,810,193,614,305,187,249,565,392,759,204,519,799,812,171,202,294,354,656,696,594,603,774,247,326,794,471,590,782,230,489,627,272
1: 555,282,489,272,264,442,52,27,722,534,186,669,503,467,881,788,155,532,362,15,582,664,381,334,154,14,772,108,329,651,201,761,648,628,373,558,636,299,320,259,655,798,256,466,391,562,327,195,829,300,133,549,518,877,239,76,358,302,476,673,770,846,541,862,400,477,137,376,48,225,224,53,107,172,514,633,707,543,499,181,316,710,538,638,352,686,818,851,135,360,500,62,28,740,58,548,858,158,281,784,418,279,647,350,242,377,511,131,684,737,872,714,811,884,613,771,800,81,372,661,443,529,616,576,393,738,726,699,679,437,540,291,44,179,49,533,685,9,428,284,215,267,765,746,868,550,735,687,841,672,139,662,361,234,57,570,600,246,4,860,10,458,383,512,66,192,708,417,240,457,244,668,709,405,36,121,409,203,368,733,578,803,604,454,505,170,507,493,25,2,838,844,456,398,387,723,164,70,105,496,233,595,530,620,82,67,789,126,563,367,397,480,408,254,110,419,312,313,778,148,219,751,278,671,546,658,650,847,271,813,340,435,579,87,20,421,592,724,807,143,754,535,168,227,304,315,273,618,561,324,674,185,667,865,559,856,150,852,787,80,85,159,415,260,220,173,739,639,263,459,441,698,744,348,825,236,619,481,690,116,527,60,705,403,269,758,736,695,308,253,86,238,845,285,153,351,490,749,431,681,32,176,250,221,588,321,136,460,288,883,261,237,200,612,74,608,401,831,191,504,814,243,769,206,494,331,748,434,149,795,73,75,147,777,363,867,343,879,501,109,646,537,502,763,210,654,33,396,241,635,753,720,469,341,564,177,729,773,880,389,166,245,388,1,420,700,8,190,385,478,337,622,861,750,422,163,849,790,286,404,585,704,29,169,601,649,716,63,218,98,40,593,356,423,641,12,30,319,295,248,837,43,843,727,586,830,119,863,134,357,581,207,217,461,72,438,424,568,645,697,816,182,805,194,809,5,199,842,474,642,539,229,283,445,875,56,712,382,678,45,760,65,198,160,59,427,37,545,766,432,103,213,407,178,599,486,822,90,17,571,536,626,353,544,792,21,828,482,96,413,779,515,732,560,223,448,298,692,785,498,801,102,123,183,484,325,344,721,606,92,621,701,706,878,715,864,513,84,713,623,676,115,78,165,703,524,853,39,54,142,717,451,793,124,660,88,569,730,79,416,832,262,804,77,7,375,857,509,339,138,644,653,152,209,214,659,491,855,731,617,270,34,347,301,410,130,113,255,747,567,24,157,205,97,68,528,226,231,589,609,129,38,885,296,823,506,47,112,89,276,611,472,526,426,336,118,359,802,106,355,35,605,786,188,817,745,824,752,390,806,783,768,447,13,596,755,51,602,780,180,675,587,640,743,156,819,869,556,874,379,873,328,111,797,208,216,430,306,128,597,572,141,520,871,309,122,395,848,584,719,189,228,475,840,412,366,314,850,161,632,145,834,114,815,71,495,629,521,663,258,144,266,322,734,517,444,775,781,332,251,449,365,580,378,463,140,485,551,523,510,452,371,718,553,820,791,464,222,870,384,566,317,6,411,91,497,468,290,610,406,117,127,643,429,446,670,61,682,275,274,323,689,125,796,120,525,833,212,83,577,531,634,3,257,265,465,688,742,268,453,756,470,174,821,16,630,665,289,450,399,338,542,473,691,693,41,232,196,280,11,827,728,349,293,547,94,394,425,757,859,22,711,440,64,46,836,554,508,252,826,492,882,370,99,69,702,277,333,374,574,101,680,767,197,414,380,297,552,479,287,31,162,575,151,808,625,522,583,573,42,455,776,854,591,345,100,346,330,93,677,175,369,104,50,433,211,342,132,303,516,23,307,184,167,364,462,598,483,652,764,335,146,725,666,26,762,95,741,615,19,557,683,839,835,18,488,386,439,55,311,694,637,402,318,235,624,607,866,292,876,436,657,631,249,193,810,187,204,614,305,565,759,392,519,812,799,171,202,656,354,696,594,294,603,774,247,471,794,326,590,782,230,627,487,310
1: 555,282,489,272,264,52,442,669,27,722,186,503,534,788,155,881,532,362,15,467,664,582,381,334,154,14,772,108,329,651,201,761,628,648,373,558,299,636,320,259,655,256,466,562,327,829,300,195,391,798,133,518,549,76,877,358,239,476,846,302,770,673,541,862,376,137,400,477,48,225,107,53,686,224,172,633,499,707,543,316,181,710,538,514,135,638,818,352,851,360,500,62,28,548,740,58,858,281,784,158,418,647,279,350,377,684,242,737,714,131,511,811,872,372,613,884,81,771,661,443,616,529,576,800,738,393,699,679,726,437,291,44,540,533,179,685,49,765,57,9,746,215,284,550,841,803,267,868,687,735,672,662,139,361,512,570,234,600,4,10,246,860,458,428,383,708,192,240,417,668,457,66,244,709,36,405,505,409,2,203,578,121,733,387,368,604,454,170,507,838,493,25,844,456,164,398,70,723,233,105,496,595,126,67,530,620,82,480,367,789,563,397,408,87,254,312,110,778,313,546,168,148,658,219,278,807,751,813,650,419,847,340,271,592,579,421,20,435,671,724,143,754,535,304,150,227,273,315,618,324,674,561,667,185,852,559,865,856,80,260,739,639,159,85,787,415,173,220,263,459,441,619,744,698,348,481,236,825,690,758,116,527,60,705,403,253,736,269,695,845,86,308,238,285,490,153,351,749,431,176,32,588,250,681,221,321,883,460,136,237,288,261,401,200,612,608,191,504,74,243,814,831,206,748,769,434,331,494,795,149,73,75,147,777,879,501,343,867,363,109,537,646,33,396,753,502,763,654,210,241,635,720,729,341,469,564,177,880,773,166,389,420,245,1,388,700,8,190,286,385,478,337,422,750,622,861,849,790,163,585,404,704,29,169,601,649,218,63,716,98,40,593,423,356,12,641,119,30,319,837,248,295,43,843,586,830,727,863,217,461,581,357,207,134,72,697,438,424,568,645,816,182,199,805,474,5,194,842,809,283,642,539,229,56,712,875,445,382,678,45,760,65,198,160,59,37,427,545,432,766,178,407,103,486,213,599,536,90,571,17,822,626,353,544,828,413,792,21,482,96,779,560,732,515,223,448,298,692,785,498,801,102,123,183,484,325,344,721,606,92,621,701,706,715,864,878,676,513,713,623,84,115,78,165,703,524,853,54,717,142,451,24,39,793,124,88,660,569,730,79,416,262,832,804,77,7,375,857,509,339,152,644,138,653,209,214,491,659,731,855,617,270,34,347,301,410,113,130,255,747,567,157,205,97,68,528,226,231,589,129,609,38,885,296,823,506,47,112,89,276,611,426,526,472,336,359,118,802,106,355,35,605,786,188,817,745,824,752,783,806,390,13,768,447,596,51,755,602,780,180,675,743,640,587,156,819,556,869,874,873,379,328,111,797,208,216,430,306,141,597,572,128,520,871,395,309,122,848,719,189,584,228,840,475,412,850,366,314,145,161,834,114,71,815,521,495,144,632,629,258,663,266,322,734,517,444,781,775,332,365,251,449,580,140,485,463,378,510,523,551,553,452,718,371,820,791,464,222,870,6,566,384,317,411,91,497,468,290,406,117,610,643,127,429,446,61,670,682,689,275,323,796,274,120,125,525,212,833,83,577,531,257,634,265,465,3,742,268,688,453,756,470,174,821,16,630,665,450,399,542,338,289,473,691,693,41,232,280,196,11,827,728,293,349,94,547,394,425,757,859,711,22,440,64,46,554,836,252,508,826,702,370,492,882,99,69,277,374,333,574,767,101,680,414,197,380,297,552,479,287,31,575,151,162,808,625,573,583,522,42,455,776,854,591,345,100,346,330,677,93,175,50,369,433,104,211,342,132,303,516,23,184,307,167,462,364,598,764,652,483,335,146,725,666,26,762,95,19,741,615,557,683,839,835,18,488,386,439,694,311,55,637,402,318,235,624,607,866,292,876,436,202,249,631,193,204,810,187,614,305,759,565,392,519,812,799,171,657,656,354,696,294,594,603,774,471,247,326,794,310,487,590,230,782,627
1: 555,282,272,52,442,264,669,27,186,722,503,534,788,532,881,155,362,467,15,664,582,334,381,154,108,14,772,329,651,628,648,201,761,373,558,299,636,320,259,829,655,466,300,256,562,327,798,391,195,133,518,549,239,76,358,846,302,770,877,476,673,541,862,686,376,400,225,48,477,107,137,172,53,224,316,543,633,499,707,135,181,514,710,538,352,818,638,500,851,360,62,858,548,58,740,281,28,418,784,684,158,377,279,350,647,242,714,811,737,613,511,872,131,884,372,81,661,771,443,616,529,738,800,576,393,679,699,437,726,291,44,540,533,49,179,803,685,746,765,215,9,284,841,57,550,267,735,868,687,662,672,139,428,361,570,600,234,246,458,4,860,10,512,383,192,708,240,668,244,417,66,457,36,387,2,709,505,578,409,405,203,368,454,121,733,507,604,838,170,493,25,70,456,164,398,844,233,723,105,595,496,67,126,530,620,480,367,789,82,408,87,397,563,312,254,110,313,148,150,778,658,546,807,751,278,168,219,813,650,847,340,592,435,754,671,579,421,20,271,724,667,143,419,535,304,227,618,315,273,561,324,674,185,852,559,865,856,415,739,639,80,260,85,787,159,173,263,220,758,441,744,459,348,698,481,236,619,825,690,116,527,403,60,253,705,845,736,308,269,86,695,285,490,238,153,351,749,431,176,237,681,32,250,221,883,136,588,460,321,288,261,608,612,74,191,200,243,504,401,814,831,795,434,331,206,494,748,769,149,501,75,73,777,147,867,343,879,753,33,396,363,109,502,537,646,763,210,729,654,241,635,720,341,469,880,177,420,564,773,166,389,388,245,1,286,700,190,8,385,478,337,422,750,849,622,790,163,861,404,585,704,29,169,601,649,218,63,40,98,716,593,423,356,119,12,641,248,837,30,43,295,319,843,586,830,863,217,461,727,581,207,357,72,697,134,438,424,568,645,816,199,182,805,842,5,194,474,283,642,539,229,809,875,445,712,56,382,198,678,45,65,760,37,59,160,427,545,766,178,432,407,486,103,213,599,536,90,822,571,17,560,626,828,353,544,792,413,21,482,96,779,732,515,223,785,298,448,692,498,801,24,102,183,123,484,325,344,721,606,92,621,701,706,715,878,864,676,713,623,513,703,115,78,84,524,165,853,717,54,142,451,39,793,88,124,660,569,730,79,416,262,832,804,77,7,375,857,509,339,152,644,653,138,209,214,491,855,659,731,617,270,34,347,410,301,113,130,255,747,567,157,205,97,68,528,226,231,129,589,609,38,885,296,823,506,112,47,89,276,426,611,526,359,336,118,472,802,106,605,355,786,35,188,817,745,824,752,806,783,390,13,447,768,596,755,51,602,780,180,675,743,587,156,819,556,640,869,874,379,873,328,111,797,216,208,306,430,597,141,572,128,520,395,871,309,122,584,719,840,189,228,848,412,475,850,366,314,145,161,834,114,71,815,521,495,632,144,258,629,663,517,266,322,734,781,444,775,332,365,251,449,580,140,485,463,378,510,553,523,371,551,718,452,820,791,464,222,566,6,870,317,384,411,91,497,468,406,117,610,290,429,643,446,61,127,670,682,275,323,689,274,796,120,125,525,833,212,257,577,531,83,634,265,465,3,268,688,453,742,756,470,174,821,16,630,542,450,665,289,399,338,691,473,196,693,280,232,11,41,827,293,728,349,94,547,394,425,757,859,711,22,440,46,64,554,836,252,508,702,826,370,492,99,882,69,277,374,333,574,414,767,680,101,380,197,552,479,297,287,31,575,151,808,162,625,522,583,573,42,455,776,854,345,591,100,346,330,369,677,104,93,175,433,50,211,132,303,342,516,23,184,167,307,462,364,764,598,483,652,335,146,615,666,26,762,95,19,741,725,557,683,839,835,18,488,439,386,694,311,55,637,402,318,624,235,866,607,292,249,876,202,436,631,204,193,810,187,614,305,565,392,759,519,812,799,171,657,656,354,696,294,594,310,603,774,487,471,326,247,794,590,782,230,627,489
1: 555,282,782,52,442,264,27,186,669,722,503,788,534,532,881,155,362,15,664,467,582,381,334,154,108,14,772,329,651,299,648,201,761,373,558,628,636,829,259,320,655,466,256,300,562,327,798,391,195,239,518,133,549,76,770,846,302,673,358,877,476,541,686,376,400,862,48,225,477,53,137,107,316,172,135,224,543,707,499,633,181,514,538,710,818,352,638,851,500,62,360,377,858,58,28,281,740,418,684,784,158,548,279,647,350,242,811,714,511,737,872,613,884,131,372,81,661,771,443,738,803,616,576,393,529,699,437,291,679,726,44,540,533,49,800,685,841,179,765,284,746,215,57,267,9,687,735,550,868,428,672,361,139,570,662,600,234,458,4,246,10,860,383,192,2,512,708,240,66,457,417,244,387,578,668,36,405,709,505,121,409,368,203,838,733,454,507,604,170,25,493,70,87,456,398,233,844,164,723,105,595,126,496,530,367,789,620,408,67,480,397,82,313,563,254,312,110,150,778,148,807,546,658,667,168,278,219,751,813,847,650,340,671,435,592,421,754,579,20,271,419,724,535,143,304,227,315,618,273,639,324,674,185,852,559,865,739,561,856,80,787,415,85,260,159,263,173,758,220,459,441,744,253,619,481,348,698,690,236,825,60,116,845,527,403,308,705,736,269,695,86,490,285,238,153,749,431,351,588,32,176,250,681,136,237,883,221,460,321,288,261,191,504,612,74,243,200,795,608,501,814,401,748,206,831,331,494,769,434,149,75,777,147,343,73,33,396,753,363,537,879,867,109,502,646,210,729,654,241,763,635,720,880,469,177,341,564,773,166,389,388,420,337,1,700,245,8,190,478,385,750,422,286,790,849,861,163,404,585,704,622,29,169,601,649,63,218,98,40,716,119,423,356,12,593,641,248,30,43,295,319,837,586,581,830,217,461,843,863,727,357,207,72,697,134,438,424,816,568,842,199,645,182,805,474,194,283,5,642,539,809,229,875,445,382,712,56,198,678,760,45,65,37,59,160,427,766,407,545,432,178,486,213,103,536,599,24,90,413,571,17,560,626,828,822,544,792,353,21,482,96,779,732,223,515,785,298,448,692,498,801,102,484,183,123,325,344,721,606,92,701,621,706,715,864,878,676,713,623,703,513,78,115,84,524,165,54,853,717,142,451,793,88,39,124,660,569,262,730,416,79,832,804,77,7,375,857,339,509,152,644,138,653,209,491,214,855,659,617,731,270,34,347,410,301,113,130,747,255,567,157,205,97,68,528,231,226,589,129,609,38,112,296,885,823,506,47,89,276,611,426,118,336,472,526,359,355,802,106,786,35,605,188,817,745,824,752,806,783,390,13,447,51,596,768,755,602,780,180,675,587,743,156,556,640,869,379,874,873,328,111,819,797,430,216,208,306,597,141,572,128,520,395,871,840,309,719,122,189,848,228,584,475,412,850,366,145,314,114,161,834,71,815,521,495,632,144,258,629,663,517,266,781,322,734,775,444,332,365,251,449,580,140,485,463,510,378,553,371,523,718,551,452,820,791,464,566,222,6,411,317,870,384,610,91,497,406,117,468,290,61,429,446,643,127,670,682,689,323,275,796,274,120,125,833,525,212,257,577,531,83,634,265,465,3,688,742,453,268,756,470,174,821,16,450,630,542,289,338,665,691,399,473,280,693,196,41,11,232,827,728,293,94,349,547,394,425,859,757,711,22,440,64,554,46,836,252,508,702,826,370,492,882,99,69,277,333,374,414,574,767,101,680,380,197,552,479,297,287,31,162,575,808,151,625,573,100,522,42,455,776,854,345,583,346,591,330,369,677,104,50,93,433,175,211,132,342,303,516,23,184,167,307,462,764,364,598,652,146,483,335,19,666,26,95,762,202,615,725,557,839,683,835,488,18,439,386,694,311,55,637,402,318,607,866,235,624,292,249,876,741,436,631,204,193,614,187,810,305,565,392,759,519,799,812,171,657,656,696,310,294,354,594,603,774,471,487,326,247,794,590,230,627,489,272
1: 555,282,782,52,442,264,27,186,669,788,503,722,534,881,532,664,155,362,467,15,582,334,381,154,108,14,772,329,651,299,648,761,201,373,558,259,636,628,320,829,655,466,256,300,562,686,327,195,391,239,133,518,549,76,798,476,302,358,673,770,877,846,541,376,48,53,400,862,137,477,225,107,316,224,172,543,499,707,803,633,135,538,710,818,181,352,638,377,851,500,858,62,360,58,740,281,418,28,514,158,350,784,684,279,647,242,714,811,511,884,131,872,613,372,81,737,661,771,548,443,738,616,576,699,393,529,291,437,679,726,44,800,533,49,540,685,179,284,765,746,57,841,267,215,9,550,735,687,570,868,458,672,361,139,428,600,662,860,234,4,246,10,383,512,2,192,457,387,66,240,708,578,668,244,36,417,405,368,709,505,733,121,838,409,203,170,507,604,454,70,493,87,25,398,456,233,595,164,723,105,496,367,126,620,844,67,480,789,530,408,397,82,313,150,563,254,667,778,110,312,148,807,671,546,278,219,847,813,658,650,592,168,340,435,579,421,751,754,20,419,271,724,535,143,618,304,639,315,227,185,273,324,674,852,739,561,856,865,559,787,85,415,80,758,159,260,263,220,459,173,619,441,744,253,60,690,481,236,698,348,845,308,825,527,116,403,705,736,269,490,695,285,86,238,153,749,237,431,351,32,176,250,588,681,136,321,883,460,221,288,261,191,795,612,74,243,608,504,501,748,200,401,831,814,206,331,494,729,769,149,777,147,363,33,434,75,753,73,343,879,867,537,502,396,109,646,654,210,720,241,763,635,880,469,177,341,564,773,166,420,389,388,24,337,245,1,700,8,286,190,478,750,385,422,790,849,163,861,404,704,585,29,169,649,601,622,218,63,98,40,119,716,423,356,12,43,641,248,593,319,30,837,295,217,461,586,843,830,581,863,727,697,134,72,207,357,438,842,199,424,568,816,645,182,805,382,5,474,194,539,642,283,809,229,875,56,712,445,37,198,678,760,65,45,536,59,160,486,427,178,766,413,432,545,213,103,599,407,90,571,560,17,828,822,626,353,544,792,21,482,96,779,732,223,515,785,298,448,692,498,801,102,183,123,484,325,344,721,606,92,701,715,621,706,878,864,703,713,623,676,513,78,524,115,84,54,165,717,853,142,451,793,88,39,124,660,569,262,730,416,79,832,804,77,7,375,857,339,509,152,644,138,653,209,491,214,659,731,855,617,270,34,347,410,113,301,130,747,255,567,157,205,97,68,528,231,226,129,589,609,38,112,296,885,823,506,47,89,276,611,359,426,817,472,526,118,106,786,802,355,605,35,188,336,745,824,752,783,806,390,13,596,51,768,447,755,602,780,675,180,743,156,587,556,874,640,379,869,873,328,111,819,797,430,216,306,208,597,141,572,520,128,395,840,871,309,719,122,584,189,228,848,475,412,850,145,366,314,114,161,834,71,815,521,495,632,144,517,258,629,663,266,781,322,734,775,444,332,365,449,140,251,580,485,463,510,378,553,371,718,523,452,551,820,6,791,411,566,464,222,317,870,384,610,91,497,406,117,468,290,61,446,429,643,670,127,682,689,323,796,275,274,120,525,125,833,212,257,531,577,83,265,634,465,3,688,453,742,268,756,174,470,821,16,450,630,542,289,691,338,665,399,473,280,41,196,11,693,232,827,728,94,293,349,547,394,859,425,757,711,22,440,64,46,554,836,252,508,826,702,370,69,882,492,99,277,374,333,574,414,101,767,680,380,202,479,197,297,287,575,31,162,808,151,625,583,573,522,42,455,776,854,100,345,346,591,330,369,677,104,433,50,175,93,211,132,303,516,342,23,184,307,167,462,364,598,146,764,652,483,335,19,666,26,95,762,552,615,725,557,839,683,835,488,18,439,386,311,694,55,318,637,866,402,607,235,624,292,249,876,741,436,631,204,614,187,193,810,565,305,759,392,519,310,799,812,657,487,696,171,354,294,656,594,603,774,471,326,247,794,590,230,627,489,272
1: 555,282,782,52,442,264,186,27,669,788,722,503,534,881,155,532,362,467,664,381,15,582,108,334,154,14,772,329,651,201,648,761,558,373,299,259,636,829,803,320,256,466,327,655,686,239,562,195,391,770,518,549,300,628,133,76,673,358,302,877,846,476,376,48,541,862,53,477,107,798,172,400,225,316,543,707,137,633,818,135,224,499,538,181,851,638,710,352,500,62,360,684,858,740,548,279,281,58,158,647,418,28,350,784,811,377,714,511,242,884,81,872,613,131,443,616,514,661,771,372,529,737,738,437,800,699,393,679,576,726,291,533,540,841,49,284,44,765,57,685,267,215,179,746,735,512,361,9,687,860,570,672,868,550,668,139,66,387,600,246,458,234,662,2,87,192,4,240,244,383,708,10,578,457,405,417,36,170,409,428,709,121,505,733,368,507,70,838,203,25,604,595,233,454,456,164,493,480,398,496,844,723,67,620,105,367,397,789,408,530,254,563,150,807,82,667,126,110,313,546,778,168,148,312,658,847,219,671,340,435,278,813,592,579,421,20,724,561,754,650,304,143,535,419,271,315,273,24,751,618,227,185,324,739,639,852,674,559,758,856,80,415,865,787,260,263,159,220,173,490,85,459,348,744,698,441,253,690,619,825,60,481,403,736,527,236,308,845,116,705,695,86,237,269,285,153,238,749,351,176,431,588,32,250,136,883,681,288,321,795,501,221,261,460,612,504,243,191,748,74,814,608,200,331,401,831,769,494,206,149,33,434,363,73,777,753,147,343,75,867,537,720,879,109,502,646,654,210,241,177,729,635,880,773,469,341,763,396,564,166,389,245,388,1,700,286,337,385,8,849,422,790,190,478,750,420,163,585,29,404,861,704,622,169,63,218,601,649,119,40,98,641,43,716,12,423,356,837,593,248,217,461,863,586,319,295,727,30,697,830,843,207,581,199,72,357,816,134,842,438,182,382,424,568,645,805,809,194,5,283,474,642,229,539,712,760,875,37,56,65,59,445,678,413,198,45,160,432,766,178,536,486,427,213,103,407,545,560,90,599,571,626,828,822,17,353,792,544,96,21,482,779,732,223,515,785,298,448,692,498,801,123,183,102,484,344,325,721,606,92,706,621,701,715,864,878,703,713,623,676,54,513,78,717,524,84,115,165,853,142,793,451,88,124,262,39,569,660,730,416,79,832,804,7,77,375,509,152,857,339,644,138,209,653,214,731,659,491,855,617,270,34,347,113,410,301,130,255,747,567,157,205,97,528,68,231,226,589,38,609,112,129,296,885,506,823,47,89,359,276,611,426,526,817,472,118,355,106,786,605,35,802,188,336,745,824,390,752,783,806,13,596,51,768,755,447,602,780,180,675,587,156,743,556,640,379,874,869,328,873,819,111,797,430,216,208,306,597,141,572,840,520,395,309,871,128,719,189,848,412,122,228,584,475,850,834,314,114,366,145,161,71,517,632,495,815,521,144,629,663,258,781,322,266,734,775,449,332,444,365,140,251,580,510,485,553,463,452,718,378,523,371,551,6,820,464,566,411,791,317,870,222,384,91,610,406,117,468,497,290,429,670,446,643,127,682,61,323,689,275,274,833,796,125,120,257,577,531,525,212,83,634,265,465,453,742,268,688,756,3,174,470,821,450,16,289,630,338,665,399,691,542,280,473,41,693,232,11,196,827,349,94,728,293,547,425,394,859,757,711,22,440,554,64,46,252,826,508,836,492,882,99,370,702,69,277,574,333,414,767,197,380,202,374,680,101,297,287,162,31,575,151,808,479,455,522,42,625,573,776,583,854,345,346,591,330,50,104,100,677,93,369,175,211,303,433,342,132,516,19,184,23,146,167,307,462,364,598,764,652,335,483,26,666,95,762,552,615,725,557,839,683,835,488,18,439,386,311,694,318,55,637,866,402,235,624,607,292,249,631,741,876,436,204,187,614,193,305,565,392,759,810,310,487,519,799,171,696,657,812,354,656,294,774,603,471,594,326,247,794,230,590,627,489,272
1: 555,282,782,52,264,442,186,27,788,669,722,503,534,881,155,532,664,467,362,381,15,108,582,334,154,14,329,772,651,201,761,648,803,558,373,259,636,320,299,256,829,327,466,562,686,655,770,239,518,195,391,628,549,300,76,673,358,133,846,877,476,302,541,376,53,48,798,862,477,107,135,172,316,400,137,225,633,543,818,707,499,224,538,638,181,851,500,710,352,62,684,360,858,58,548,740,279,281,158,350,647,418,28,784,377,811,714,511,81,884,872,242,613,661,514,771,443,737,372,529,616,131,800,738,437,699,393,576,841,291,679,540,726,533,44,49,284,57,765,685,267,215,179,746,87,735,860,687,361,672,9,512,570,24,868,550,2,139,387,600,66,246,662,458,234,240,192,4,708,244,578,668,383,457,417,10,36,405,428,170,368,409,709,121,733,507,838,595,505,233,25,70,203,604,164,454,456,493,398,496,844,67,480,620,723,530,105,397,789,254,150,367,563,807,408,82,110,126,667,168,313,148,546,778,312,658,671,847,813,219,340,435,278,639,592,579,421,20,754,724,419,650,304,535,751,143,271,315,273,618,739,561,185,852,227,324,674,80,758,559,856,415,865,787,260,173,220,490,459,159,263,85,253,744,348,619,690,698,825,441,60,736,403,481,527,845,236,116,308,705,695,237,86,285,269,153,238,749,176,431,588,351,32,883,681,136,501,250,795,288,321,221,74,612,814,261,460,243,748,608,331,504,401,200,494,831,769,206,33,191,149,777,753,363,73,729,720,867,147,343,75,537,502,879,646,109,434,241,210,654,177,635,341,773,396,469,763,389,880,564,166,245,1,388,700,286,337,385,8,849,790,420,422,190,478,750,163,585,404,622,29,861,704,649,63,169,119,218,601,40,43,641,98,12,356,593,716,837,217,461,423,248,863,586,319,295,727,697,830,30,843,581,382,207,72,357,134,842,438,816,199,182,645,568,424,809,805,194,283,5,642,229,712,474,539,37,56,875,760,65,59,413,445,678,198,45,407,160,766,432,560,178,427,103,213,486,545,599,90,828,536,571,626,353,17,822,792,544,96,21,482,732,779,223,515,785,298,448,692,498,801,123,183,102,484,344,325,721,606,92,706,703,621,701,715,864,878,713,623,676,78,513,54,524,115,717,84,165,853,142,793,451,88,262,124,569,730,660,39,416,79,832,804,7,77,375,509,339,857,152,644,138,209,653,214,491,731,659,855,617,270,34,347,113,410,301,130,747,255,567,528,157,97,205,68,231,226,589,38,609,129,112,296,885,823,506,47,89,359,276,611,426,817,472,526,118,355,106,786,605,35,802,188,336,745,783,824,752,390,806,13,596,51,768,755,602,447,780,180,675,156,587,556,640,743,379,874,869,328,873,819,111,797,430,216,306,208,597,141,572,840,520,395,871,719,309,128,189,848,412,122,475,228,834,584,850,314,366,114,161,145,517,632,71,815,495,521,144,629,663,781,258,266,322,734,775,449,332,365,140,444,251,580,553,510,485,463,452,718,523,378,371,6,551,411,820,566,464,317,791,870,222,384,610,91,406,117,497,468,290,429,670,643,446,682,689,127,323,61,275,796,833,274,120,125,257,531,577,212,525,83,634,465,265,742,453,268,688,756,3,174,821,470,16,450,630,289,338,399,665,542,280,691,473,41,693,232,11,196,827,94,349,728,293,547,394,425,859,757,440,711,22,554,64,46,826,252,508,836,882,492,99,370,702,69,277,574,333,767,414,197,202,374,380,101,680,162,287,297,151,575,479,31,808,42,522,455,625,573,583,776,854,345,346,330,591,100,50,93,369,104,677,175,211,433,303,342,146,516,132,19,184,167,23,307,462,364,764,598,652,335,483,26,95,666,762,552,615,725,557,839,683,835,488,18,386,439,311,694,318,55,637,866,402,235,607,624,249,292,631,741,876,436,204,187,614,193,305,565,310,392,759,487,810,799,519,171,354,696,657,812,656,774,471,603,294,326,594,247,794,230,627,489,590,272
1: 555,282,782,52,442,264,788,27,186,669,534,503,722,881,664,155,532,381,467,362,108,582,15,334,14,154,329,803,651,201,772,761,373,648,558,770,299,259,636,829,256,686,327,562,320,466,655,239,518,846,195,391,300,549,76,628,358,133,673,877,476,541,376,302,798,53,48,862,477,107,135,24,137,172,316,400,543,225,633,818,707,499,224,538,638,181,851,500,684,710,352,62,377,360,858,58,740,281,279,158,28,647,548,350,418,784,714,811,81,511,884,872,242,514,613,771,372,737,661,529,443,291,437,616,131,738,699,393,841,800,576,679,726,540,533,87,44,49,284,765,267,685,215,57,179,687,746,860,361,2,9,672,735,512,868,66,550,387,139,570,662,600,668,458,246,234,240,192,244,578,4,383,708,457,10,36,417,405,428,368,409,170,595,733,838,121,709,507,233,25,505,203,164,70,454,456,493,604,398,480,496,67,844,723,620,105,168,789,667,530,397,254,807,367,563,408,150,110,126,82,313,546,778,148,312,639,658,813,847,219,278,671,435,579,592,340,20,754,421,650,561,724,143,304,751,315,618,185,739,419,273,535,271,852,227,324,80,674,758,559,415,856,865,173,490,220,787,459,260,159,263,253,619,85,744,348,690,441,60,825,698,403,845,736,527,481,236,705,116,308,695,285,86,153,269,238,237,749,176,681,431,351,32,883,795,136,250,321,288,814,588,460,261,331,748,221,243,612,74,501,504,608,200,401,494,33,191,831,769,206,867,149,777,753,434,720,73,343,363,147,75,537,396,502,879,109,654,241,210,729,177,646,635,341,773,469,389,880,1,763,245,166,388,286,700,337,564,8,420,849,385,790,478,422,750,190,622,163,29,404,585,704,63,861,649,119,169,601,218,43,40,716,98,641,217,461,837,356,423,12,593,248,586,319,697,863,295,727,830,30,843,382,72,581,357,207,134,199,842,438,645,816,182,809,283,568,424,805,5,194,37,642,229,474,539,712,56,760,413,65,875,445,678,560,59,198,45,766,160,427,432,178,213,103,407,545,828,536,599,486,90,571,353,626,17,822,96,792,544,21,779,482,732,223,515,785,298,448,692,498,801,183,123,102,484,344,325,721,606,703,92,706,701,715,864,621,878,713,623,676,78,54,513,717,793,524,84,115,853,142,165,451,88,262,569,124,730,660,39,416,79,832,804,77,7,375,509,857,152,339,644,209,138,653,214,491,731,855,617,659,270,34,113,347,410,301,130,747,255,567,528,157,97,205,68,226,231,589,38,112,609,129,296,885,823,506,47,89,359,611,276,817,426,472,526,118,786,355,106,605,35,802,188,336,745,783,824,752,390,806,596,13,51,768,602,447,755,780,675,587,156,180,556,379,640,743,874,328,869,819,111,873,430,797,306,216,719,208,141,572,840,395,520,871,597,309,128,189,412,228,475,848,517,122,834,850,584,314,366,114,632,161,145,71,495,144,521,815,629,663,781,258,266,734,322,775,449,332,365,140,444,251,553,580,485,510,463,452,718,6,523,371,378,551,411,820,566,464,317,791,870,222,384,610,406,117,497,91,468,290,429,446,643,670,689,323,61,682,127,275,796,257,833,274,531,120,125,577,212,525,83,634,265,453,465,742,688,268,756,174,450,3,821,16,470,630,399,338,289,665,280,691,542,473,41,232,11,693,196,94,349,827,728,547,293,394,425,757,440,859,711,22,554,64,252,46,508,836,882,370,492,99,826,69,702,277,574,333,101,197,767,202,374,414,380,680,162,287,297,575,151,479,31,808,455,522,42,573,625,776,583,854,345,346,330,591,100,50,369,104,146,93,677,433,303,211,175,19,342,516,132,184,23,167,307,462,364,764,598,652,335,483,26,666,95,552,615,762,725,557,839,683,835,488,18,386,439,311,694,318,637,402,866,55,235,249,607,624,292,631,741,876,204,436,187,614,193,310,487,565,759,305,392,810,799,696,171,354,657,519,812,656,471,774,603,294,326,594,247,794,627,230,489,272,590
1: 555,282,782,52,442,788,264,27,186,669,722,503,534,664,881,155,381,532,467,108,362,582,15,803,14,334,24,154,329,651,686,373,201,558,761,648,772,770,829,259,636,299,256,562,320,327,466,239,846,391,655,549,300,195,518,628,76,133,358,673,877,476,798,302,477,541,53,48,376,862,137,135,107,400,543,316,172,225,818,633,707,499,538,224,181,638,851,500,352,710,377,684,360,62,858,281,740,58,158,279,647,548,28,784,350,418,81,872,811,511,514,714,884,242,613,661,771,737,372,291,529,616,443,437,699,131,738,841,800,393,576,679,87,44,540,726,533,49,284,267,860,765,57,687,685,179,215,387,512,746,735,66,361,672,9,2,458,868,139,570,550,662,600,246,234,739,668,244,240,192,4,457,708,383,428,10,36,405,368,417,409,838,595,733,170,121,709,233,507,25,164,505,70,456,493,398,203,604,454,168,480,496,844,723,67,620,807,667,530,105,789,397,408,254,563,150,367,110,126,82,546,312,639,148,778,313,658,847,813,671,219,278,592,435,579,340,754,421,561,20,650,143,724,852,304,578,419,535,751,315,618,273,185,271,227,324,758,674,80,559,253,415,490,856,220,865,787,173,260,159,459,263,85,744,690,60,441,348,619,825,698,403,736,481,527,705,116,236,845,285,695,308,153,269,86,237,681,238,431,176,749,351,32,883,795,250,136,588,321,288,460,331,74,501,243,261,221,401,608,814,748,612,504,33,191,200,494,769,206,831,729,753,777,149,73,720,363,343,867,396,147,75,537,502,879,434,241,109,177,654,646,210,635,341,773,469,389,880,245,700,286,1,388,763,166,337,849,564,420,790,8,385,478,622,422,190,163,750,29,585,43,404,63,704,649,861,119,169,601,218,40,217,461,716,356,641,98,248,12,423,697,593,837,863,319,586,295,727,830,382,30,843,581,72,357,207,199,134,842,438,645,809,283,816,182,424,568,37,194,5,805,642,229,413,539,474,712,875,760,56,445,560,65,198,678,59,160,766,45,427,432,213,178,407,103,828,536,545,90,599,353,571,626,17,822,486,96,544,792,21,515,482,779,732,223,785,298,448,692,498,801,183,123,102,484,344,325,721,703,606,92,706,701,864,715,621,878,713,623,676,793,54,513,78,717,524,115,84,853,142,165,88,451,262,569,730,124,660,39,416,79,832,804,375,77,7,339,509,152,857,34,138,209,653,617,214,731,855,491,659,270,644,113,347,410,301,130,255,747,528,567,205,97,157,68,226,231,589,112,38,296,609,129,885,823,506,47,89,359,611,817,426,276,526,472,118,355,786,106,35,605,802,336,188,745,824,783,752,390,596,806,13,51,447,768,602,755,156,780,587,675,180,556,640,379,743,874,328,819,869,111,873,430,797,216,306,719,141,208,840,572,395,520,517,597,871,309,128,189,412,475,228,848,850,122,584,834,366,114,632,314,161,145,71,521,495,144,815,629,781,663,258,266,734,322,449,775,140,365,332,444,251,553,580,485,510,463,718,6,452,523,371,378,551,411,566,464,610,820,317,870,791,222,406,117,384,497,468,91,290,446,429,643,61,323,689,682,670,127,275,257,796,274,833,531,120,577,212,125,525,83,634,453,465,265,742,688,756,268,174,280,821,3,16,470,338,289,630,399,542,450,691,665,473,41,11,232,693,196,94,349,728,827,293,547,394,757,425,859,711,22,554,64,252,440,46,508,836,370,882,99,492,826,69,702,277,574,333,101,197,767,202,374,414,380,680,162,287,297,151,479,575,808,31,42,522,455,625,573,583,776,854,345,346,330,100,591,19,50,369,104,146,433,677,93,175,303,342,211,516,132,184,167,23,307,364,764,462,598,335,652,483,26,95,666,615,762,725,557,839,683,835,488,18,386,439,694,311,552,318,402,866,637,235,249,55,607,624,292,631,741,204,876,436,187,487,310,614,565,193,759,305,392,799,810,171,696,354,657,812,519,471,656,774,603,294,326,594,247,794,627,489,230,272,590
1: 555,282,782,52,788,264,442,186,803,27,503,669,881,722,664,108,534,381,467,532,362,155,582,15,14,154,334,329,558,686,651,201,373,299,761,648,770,636,829,772,562,259,239,256,846,327,466,549,320,518,391,628,655,477,877,195,76,133,53,300,358,48,541,673,862,376,302,476,172,798,316,543,135,818,400,225,707,137,107,633,499,538,500,851,224,181,62,548,360,638,352,710,281,684,279,377,647,740,58,158,784,811,28,81,514,884,858,511,350,872,418,714,616,613,800,841,437,661,737,372,771,242,291,443,529,393,699,738,131,87,679,576,267,540,44,49,533,57,860,687,726,284,765,66,215,512,179,9,746,361,387,685,672,2,868,139,735,662,458,550,246,739,668,570,244,234,600,192,240,168,383,708,405,4,457,36,417,428,10,409,733,368,709,233,170,838,595,121,25,493,70,496,505,507,164,398,203,456,604,480,844,620,454,150,530,397,667,807,105,723,67,254,408,563,789,367,110,639,82,546,313,312,126,813,148,561,847,658,579,20,340,592,435,219,278,754,421,778,724,650,578,419,271,273,304,315,618,852,143,185,535,671,324,227,751,80,674,490,253,220,856,415,787,559,865,758,263,459,260,60,159,690,173,619,744,85,825,698,403,348,441,527,481,736,285,695,116,681,236,845,153,705,86,431,237,176,308,795,269,238,501,749,32,351,883,250,136,460,588,288,321,612,261,504,748,401,33,74,243,200,608,331,814,434,221,494,769,206,191,537,753,363,343,149,720,831,777,73,286,502,879,867,147,75,241,763,654,396,210,109,646,177,245,773,389,729,469,635,337,790,880,700,420,388,341,422,166,564,1,8,622,385,849,63,190,163,43,478,750,29,404,585,649,119,704,861,169,218,828,461,601,40,98,716,641,697,319,423,248,12,586,295,593,356,382,863,727,837,830,199,30,207,134,843,357,581,283,72,816,809,842,645,413,438,182,805,424,5,229,194,539,875,56,568,712,642,760,37,474,65,445,59,407,678,766,160,432,560,103,45,198,178,427,213,217,353,545,96,90,626,822,571,486,599,17,536,544,792,515,732,482,21,223,779,448,298,785,692,498,801,703,123,183,102,344,484,721,325,606,92,706,864,701,621,878,715,713,623,793,54,676,78,717,513,115,524,853,142,84,262,165,451,88,569,124,730,660,416,39,79,832,804,7,77,375,857,339,152,34,509,209,653,138,731,617,214,113,491,659,644,270,855,347,301,130,410,528,255,747,97,567,205,157,68,226,589,112,38,24,231,296,609,885,129,506,823,47,359,89,817,611,276,472,426,526,355,118,786,106,336,605,35,802,188,745,824,783,752,390,806,13,447,51,768,156,596,755,602,556,587,780,640,180,379,675,743,819,874,869,328,111,873,840,517,719,797,430,208,306,216,141,597,572,871,395,520,309,189,228,412,122,848,128,834,475,850,114,584,632,314,161,366,145,521,495,71,815,629,781,144,663,266,258,322,449,734,775,140,332,553,365,510,444,6,251,580,463,718,485,452,523,411,371,566,378,551,464,610,820,317,870,791,406,117,384,222,497,91,468,290,643,670,429,323,446,682,689,127,275,61,833,796,531,274,257,577,120,525,125,212,634,280,83,465,742,265,756,268,688,174,453,821,16,3,470,399,691,338,665,630,450,289,542,473,232,11,41,693,196,728,349,547,827,293,859,94,757,425,711,394,22,252,440,554,64,508,46,370,836,492,826,277,882,99,69,574,702,333,197,101,202,374,767,380,162,151,414,680,287,479,297,575,808,42,455,31,522,583,776,625,146,573,19,100,854,345,330,346,591,433,50,104,342,677,175,516,93,369,211,303,132,167,184,307,764,23,364,462,95,598,335,483,26,652,666,615,762,725,557,839,683,835,488,18,311,439,386,694,552,318,249,866,235,637,402,55,607,624,292,487,310,204,741,631,876,436,187,614,565,759,193,305,392,799,354,171,810,696,657,519,812,471,656,326,294,774,603,794,247,594,627,489,230,590,272
1: 555,282,782,52,788,803,186,442,264,27,669,503,881,722,664,534,108,381,467,532,362,155,582,15,14,154,686,334,329,558,201,373,651,772,761,648,770,636,829,299,518,239,562,259,846,466,256,327,549,320,391,798,477,655,877,195,76,53,133,358,541,48,376,300,862,673,628,302,172,543,818,476,316,135,400,137,225,707,633,107,499,538,181,548,851,500,224,62,360,352,710,638,377,281,684,279,58,740,647,158,811,291,884,81,784,28,858,511,350,872,714,418,514,616,613,437,737,661,87,372,771,242,393,841,443,529,738,800,699,131,576,679,44,533,267,860,57,540,49,687,284,765,179,168,215,726,2,66,9,746,672,458,735,361,139,387,685,662,868,739,512,550,246,234,244,570,600,668,192,383,240,36,457,708,4,405,428,368,10,409,709,417,233,733,838,170,595,121,25,493,505,70,496,164,507,398,480,203,667,456,844,150,604,620,807,454,530,397,67,367,105,723,789,563,408,82,254,110,546,312,126,313,639,813,148,658,847,579,561,754,340,20,219,435,278,592,421,578,671,778,724,650,852,304,273,271,419,315,535,185,143,618,227,324,490,751,80,674,253,220,758,787,856,415,865,60,559,459,260,263,173,159,744,690,85,825,619,698,348,403,527,441,845,695,736,153,116,681,285,481,236,86,237,705,431,795,308,176,238,269,749,883,32,351,501,250,136,460,504,748,261,33,588,612,321,814,608,200,401,74,288,434,243,331,221,494,769,537,191,753,343,73,363,206,149,720,831,879,286,502,777,147,867,763,75,241,396,654,109,646,210,177,773,245,729,389,635,469,337,790,880,388,420,700,341,422,166,564,622,1,8,385,190,63,43,849,163,478,29,750,119,585,404,704,649,861,218,828,461,601,169,40,697,98,716,319,641,586,423,12,382,295,593,248,863,356,837,199,727,207,30,357,283,843,830,134,809,816,581,645,842,182,194,72,438,413,805,424,229,5,539,875,568,642,37,56,712,474,760,445,65,407,59,678,766,432,560,160,45,198,427,103,178,217,353,213,96,545,536,90,626,599,486,571,17,544,822,792,515,21,482,732,779,223,298,448,785,692,703,498,801,183,102,123,344,721,484,325,606,864,706,92,701,621,878,713,623,715,793,54,676,78,717,513,262,524,115,142,853,84,165,88,451,569,730,124,660,416,39,79,832,804,7,77,857,375,339,152,34,509,209,731,653,138,617,113,214,644,491,659,270,855,347,301,130,410,528,255,296,747,567,205,157,68,226,112,589,38,97,231,24,885,609,129,823,506,359,47,89,472,611,426,526,276,355,118,786,817,106,35,605,802,745,188,824,783,336,806,752,13,390,447,51,768,156,596,755,602,556,640,587,780,180,379,743,819,675,517,874,869,328,111,840,719,873,430,797,306,141,216,208,597,572,395,520,871,309,189,228,412,128,475,848,834,122,850,114,584,632,314,366,161,145,521,71,495,144,815,781,629,663,449,266,258,322,734,775,140,332,6,553,510,365,444,251,580,718,463,411,452,485,523,371,566,610,551,378,464,820,317,791,870,406,117,384,222,497,91,468,290,429,323,643,446,682,670,689,275,127,61,796,833,531,257,274,577,120,125,212,525,280,634,465,83,742,265,688,756,268,453,174,821,399,16,3,470,665,691,338,289,630,542,473,232,450,41,693,11,196,728,349,547,827,293,94,757,859,425,711,22,394,252,440,554,64,508,370,46,836,826,277,492,882,99,702,69,574,202,374,333,101,197,767,162,380,151,479,287,680,297,414,808,575,42,31,146,583,455,522,19,625,776,100,573,345,854,330,346,433,591,342,104,50,516,677,175,369,211,93,303,167,132,184,764,307,23,364,95,462,598,26,335,483,652,666,615,762,725,557,839,683,835,488,18,311,694,439,386,552,318,866,249,235,402,607,637,487,55,310,624,292,204,741,631,876,436,187,565,614,759,392,193,305,354,799,171,810,696,657,812,519,471,656,294,774,326,603,794,594,627,247,489,272,230,590
1: 555,282,782,512,803,52,788,186,264,442,27,669,503,881,722,664,108,534,381,467,532,362,155,15,14,582,154,686,334,329,558,201,299,651,373,761,648,770,636,772,829,518,239,846,562,259,466,256,320,327,477,391,655,549,877,195,133,798,76,53,300,358,48,541,673,302,137,376,862,818,316,172,543,476,135,400,628,225,107,707,633,499,538,548,224,181,851,500,360,62,352,710,377,638,684,740,647,281,58,279,811,87,158,81,858,511,28,884,350,714,291,784,437,616,418,613,872,661,514,372,771,737,242,841,443,393,738,800,699,529,131,533,576,687,860,57,44,679,49,540,284,2,267,168,215,765,66,726,179,9,458,387,746,735,672,685,139,361,739,868,550,662,246,244,570,234,838,192,600,383,36,240,708,457,668,4,405,368,233,409,10,733,709,428,595,170,417,121,25,70,150,203,505,667,496,480,507,398,493,456,164,604,620,807,844,454,67,530,397,367,723,105,789,563,82,408,254,546,110,312,639,126,313,148,847,561,658,813,579,340,754,219,578,671,278,778,435,421,592,20,724,419,852,271,650,315,535,185,304,273,143,490,618,324,227,751,674,80,758,253,220,60,787,865,263,459,856,415,260,559,85,159,690,619,173,744,825,348,681,403,845,441,698,527,431,116,736,285,481,237,153,695,236,86,705,176,795,308,238,749,269,883,501,32,250,351,136,504,748,612,33,588,608,321,261,460,200,814,243,434,401,74,331,288,494,221,537,769,286,206,720,753,73,149,363,191,831,343,879,867,502,777,147,763,396,75,241,109,177,646,654,210,729,773,245,389,337,420,635,469,388,700,341,880,622,790,422,166,8,564,1,385,63,163,190,849,119,750,478,29,404,585,649,704,828,43,861,218,601,169,461,40,98,716,319,586,382,641,423,295,12,248,593,863,697,356,837,727,207,30,199,357,830,843,809,134,581,816,283,645,182,72,438,194,413,842,805,229,424,539,5,875,568,56,642,712,474,65,760,37,445,432,678,560,766,160,59,198,217,407,45,427,178,103,213,353,545,96,90,626,536,599,571,486,17,822,792,544,515,21,732,482,779,223,298,448,703,785,692,498,801,102,183,344,123,721,484,325,606,864,92,706,701,621,878,713,623,793,54,715,676,717,78,513,262,524,115,142,853,88,165,84,451,569,730,124,416,660,39,79,832,804,7,152,77,857,34,375,339,509,209,731,138,653,617,113,214,644,491,659,270,567,855,347,301,130,528,410,296,255,747,157,205,68,112,226,589,97,231,38,24,885,609,129,823,506,359,47,89,426,472,611,526,276,355,786,118,817,106,35,605,802,745,188,824,336,783,13,806,752,390,447,51,156,596,768,755,602,556,640,517,587,780,379,819,180,743,675,874,328,869,111,840,719,873,430,797,306,141,208,216,597,572,395,520,871,309,189,228,412,834,475,128,850,848,122,584,632,114,314,366,145,161,521,71,495,144,629,781,663,815,449,266,258,322,734,6,140,775,332,553,510,365,444,718,580,251,485,411,463,452,371,523,566,610,378,551,464,820,317,384,406,117,870,791,222,91,497,468,290,323,429,682,446,643,275,670,61,689,127,531,257,796,274,833,120,577,212,525,125,634,465,83,742,265,688,756,268,280,174,821,3,399,470,16,453,542,665,691,338,630,289,473,232,450,11,41,693,728,547,196,349,293,827,94,859,757,425,711,394,252,440,22,554,64,508,370,46,826,836,277,882,702,492,99,69,202,374,574,333,197,101,162,767,479,380,151,297,287,680,414,146,808,583,575,19,42,455,31,522,625,100,573,776,345,854,330,433,346,591,342,104,516,369,50,175,677,211,303,167,93,132,184,764,307,23,364,95,462,598,335,26,483,652,666,615,762,725,557,839,683,488,835,311,18,439,386,694,552,318,866,487,235,249,607,402,637,55,310,624,204,292,741,631,876,187,565,436,759,614,392,305,354,193,799,812,696,171,657,810,519,656,471,294,774,326,603,794,594,627,247,489,272,590,230
1: 555,282,590,512,782,52,788,186,264,442,669,503,27,881,534,664,381,108,722,155,532,362,467,15,14,686,154,582,334,558,329,299,201,373,651,761,648,846,770,636,829,772,518,259,239,562,256,466,327,477,320,549,655,391,195,133,76,798,53,877,818,358,300,673,541,48,137,302,376,135,316,862,543,172,628,476,400,225,107,633,707,548,499,538,224,851,181,500,62,360,87,352,684,710,281,638,740,279,647,377,58,158,81,811,616,858,511,291,437,884,28,714,350,784,418,613,872,514,661,737,771,242,372,841,443,393,800,699,529,738,284,679,131,576,168,687,533,2,860,49,44,540,66,215,765,726,267,458,57,179,746,387,9,735,672,139,739,685,361,868,662,246,550,244,838,708,570,36,234,192,240,600,668,405,383,4,457,368,233,409,10,428,417,595,709,733,170,70,121,480,150,667,25,505,203,456,398,164,507,496,493,454,620,604,844,397,807,530,723,367,67,105,789,563,408,82,254,639,546,110,312,126,561,148,847,313,813,658,579,578,671,340,754,278,219,421,20,435,592,490,185,724,778,271,304,650,315,535,143,419,852,273,227,618,324,674,751,758,253,80,220,60,787,865,459,263,415,856,559,260,690,159,85,744,681,825,173,619,441,403,348,527,698,431,736,285,845,116,153,695,481,236,86,795,237,705,308,176,749,238,269,883,250,32,351,136,33,588,504,612,321,748,261,608,460,200,501,74,401,243,537,814,221,331,494,288,434,769,206,363,753,286,73,149,879,720,343,831,867,777,191,502,147,241,763,75,177,396,654,109,646,773,210,245,337,729,389,388,635,469,341,700,420,880,790,564,422,8,166,622,385,163,190,63,119,1,750,849,478,29,585,649,828,43,404,704,861,218,461,40,169,601,98,586,382,716,319,641,295,12,423,248,863,697,593,356,837,727,199,207,357,843,30,830,283,816,581,809,134,645,72,182,438,539,424,229,5,805,413,842,194,875,568,56,642,560,712,65,445,474,760,37,432,678,160,217,407,198,766,59,427,45,96,178,103,213,353,545,536,90,599,626,571,17,515,486,822,792,544,732,779,21,482,223,298,703,448,785,692,498,801,102,183,344,123,721,484,325,606,864,92,706,701,621,878,713,623,793,715,54,717,676,262,78,513,524,115,142,853,88,569,451,84,165,730,124,416,660,39,79,832,804,7,152,857,34,77,375,339,209,509,567,731,653,138,617,113,644,214,491,270,659,855,347,301,130,528,296,410,747,255,157,205,68,112,226,589,231,24,38,885,609,129,823,506,359,97,89,47,611,426,472,276,526,355,786,118,817,106,605,35,802,745,188,824,336,783,13,806,752,390,447,51,768,156,596,755,602,517,556,640,587,780,819,379,180,675,743,874,328,840,869,719,111,873,430,306,141,797,597,216,208,572,395,520,871,309,228,412,189,834,475,850,122,848,128,632,114,584,366,314,145,161,521,71,144,495,781,629,663,449,815,266,258,734,6,322,140,775,332,510,553,365,444,718,485,580,251,411,463,452,523,371,566,610,378,551,464,317,820,406,117,384,870,791,222,497,91,468,290,323,429,682,446,643,275,670,689,61,531,257,796,127,274,833,120,577,212,525,634,125,465,83,742,265,688,756,280,268,174,821,542,470,16,399,3,453,665,338,289,630,691,473,450,232,11,41,728,693,196,547,349,293,94,827,757,859,425,252,440,394,711,22,64,554,508,826,46,370,836,277,69,882,492,202,374,99,702,574,197,333,101,162,767,479,380,19,297,151,287,680,583,146,808,575,414,522,455,42,31,100,625,573,776,345,854,433,330,346,342,50,516,591,104,369,175,677,132,303,764,211,93,184,167,307,23,95,364,462,598,335,26,483,652,666,615,762,725,557,839,683,488,835,311,487,439,18,694,552,386,318,866,235,249,607,402,637,310,55,624,204,741,292,631,876,565,187,436,759,614,392,305,354,696,193,799,812,657,519,171,810,794,471,774,656,603,326,294,594,627,272,247,489,230,803
1: 555,282,590,512,782,52,788,186,442,669,881,264,664,108,381,503,27,534,155,532,362,722,15,686,14,467,154,582,334,329,558,201,846,373,761,648,651,636,239,829,772,770,518,562,327,259,466,299,256,133,320,477,53,549,818,798,195,391,655,135,76,376,673,877,48,137,358,862,172,316,541,300,548,302,476,543,400,707,628,225,633,107,851,224,500,499,181,291,538,279,647,62,360,352,158,811,377,81,740,616,684,281,638,710,418,58,87,884,858,28,714,437,613,443,841,800,511,784,350,393,872,661,514,771,860,699,372,738,737,242,529,284,687,540,66,533,679,2,49,168,131,215,44,576,267,765,458,726,746,387,179,672,9,739,735,361,244,139,246,868,708,662,685,234,550,36,570,57,405,192,240,368,383,4,595,233,668,409,170,10,600,417,709,457,121,838,733,70,496,480,25,505,493,150,667,398,844,507,203,807,428,397,620,454,604,456,164,530,723,789,563,67,105,367,254,408,82,639,110,546,847,312,813,578,671,148,340,579,313,658,435,126,278,271,754,561,421,20,219,304,143,592,419,185,724,852,273,324,778,535,315,618,490,650,227,674,253,60,856,80,751,220,260,263,758,787,459,559,865,415,825,159,690,744,619,173,85,403,736,681,237,695,698,527,116,795,441,285,845,153,431,481,176,86,236,348,705,308,749,238,883,401,33,501,32,269,351,612,250,136,537,460,286,748,504,261,200,74,608,588,494,288,221,321,814,243,331,434,769,879,363,831,73,343,191,206,149,867,777,720,502,753,241,177,396,75,654,147,245,763,773,729,646,210,700,790,420,388,389,341,422,337,109,635,469,119,8,564,880,166,63,622,163,385,190,849,750,1,828,43,40,478,585,29,461,404,649,218,601,704,861,382,169,295,863,586,716,98,697,319,12,248,423,641,593,727,283,207,356,830,837,809,357,843,199,30,134,816,182,539,194,581,645,424,438,229,413,805,72,5,560,712,875,842,37,56,65,445,474,568,217,407,760,432,642,353,160,103,678,45,198,213,96,766,427,178,59,515,545,599,536,626,90,571,17,822,486,732,792,544,223,21,779,482,298,448,703,785,692,498,801,102,183,344,123,721,484,325,864,606,706,92,701,713,623,621,793,878,262,715,717,54,676,513,78,142,569,115,524,853,88,84,165,451,730,567,416,124,660,832,79,7,804,39,857,152,34,77,113,509,339,209,375,731,653,138,617,214,491,659,270,855,347,301,130,528,644,410,747,255,205,157,68,112,226,589,296,24,38,231,885,609,506,823,129,359,97,89,47,426,611,472,276,526,355,786,817,118,106,605,35,745,188,336,13,824,802,783,752,806,390,447,156,596,51,768,755,517,556,602,640,379,819,180,780,587,840,743,874,675,328,719,869,111,306,141,873,430,797,597,216,208,572,395,871,520,309,228,834,114,189,848,122,412,850,475,632,584,314,145,366,128,161,521,71,449,495,140,629,6,663,144,815,322,734,266,258,566,553,510,332,775,365,781,580,251,411,463,444,610,452,718,485,523,371,378,464,317,406,820,551,870,791,384,222,91,497,117,468,290,643,682,429,275,446,670,323,577,274,833,689,257,61,796,531,120,127,525,634,125,212,465,742,265,280,756,688,268,83,174,821,399,453,470,542,338,691,16,289,630,665,450,3,473,232,11,41,196,728,94,349,547,693,827,293,757,440,252,859,425,711,64,554,22,508,826,394,370,46,277,836,202,374,492,882,99,702,574,333,69,197,479,162,767,146,101,151,380,297,808,583,455,287,680,19,42,31,575,100,522,414,776,625,573,345,330,433,854,346,342,516,104,50,175,591,132,167,369,303,93,677,211,764,184,307,95,462,364,23,26,598,335,666,483,652,615,725,762,557,487,839,683,488,311,439,835,694,552,18,386,318,866,249,235,402,607,310,637,55,204,624,741,292,631,876,436,565,187,614,759,392,696,305,799,354,193,812,171,657,794,519,471,810,774,656,326,603,294,803,627,594,272,247,489,230
1: 555,14,590,512,782,52,788,186,669,442,664,264,881,108,381,503,27,534,532,155,362,686,15,722,154,282,467,582,334,329,558,201,373,761,772,648,651,636,770,239,299,829,518,562,327,259,846,466,320,256,477,53,133,818,549,673,76,195,655,391,376,48,135,291,877,541,172,300,358,862,316,137,302,476,400,543,707,798,225,107,633,499,538,851,224,548,500,181,279,647,62,352,87,158,616,360,811,740,81,281,684,638,710,377,418,58,858,884,714,28,437,628,841,613,784,511,443,350,771,393,800,872,661,242,738,860,699,737,372,529,284,540,687,66,2,49,679,44,514,533,131,576,215,267,387,168,765,458,179,726,746,672,739,57,735,9,361,139,246,244,662,708,868,685,36,234,550,405,570,192,240,595,368,4,383,668,233,170,409,600,10,417,457,838,709,733,121,70,807,496,505,150,480,493,25,667,398,844,428,507,203,397,454,639,620,530,604,456,723,67,367,105,563,789,408,254,164,82,546,110,813,847,578,671,312,148,340,579,313,278,435,561,126,271,535,421,658,185,754,20,490,778,219,592,143,852,315,419,304,273,724,324,227,618,650,60,674,253,80,751,856,220,758,260,263,865,787,459,559,825,619,159,415,744,690,85,173,681,237,736,403,527,695,116,698,431,441,845,795,153,285,176,236,86,348,705,308,883,481,238,749,33,501,269,32,351,401,136,612,537,250,286,460,748,504,261,200,588,74,321,494,608,288,814,221,243,434,331,769,879,363,343,191,831,73,777,206,149,867,720,502,241,396,753,177,75,654,245,147,729,763,646,210,700,337,773,420,790,389,341,388,109,422,119,635,469,8,564,880,163,63,622,166,190,385,750,828,43,1,40,849,478,585,29,461,404,649,861,601,704,382,169,218,586,863,98,716,295,697,319,248,12,641,423,283,593,727,830,207,356,199,809,357,843,837,30,816,539,134,581,194,645,424,413,182,72,438,229,560,5,805,37,712,875,56,842,568,474,65,217,407,445,432,642,760,353,160,103,678,766,45,96,213,427,198,178,59,515,545,599,536,626,90,17,822,571,732,486,703,544,792,223,21,482,298,779,448,785,692,498,801,102,183,344,721,123,484,325,864,706,606,92,793,701,713,142,621,262,715,717,878,54,676,78,513,623,524,569,115,853,88,84,567,165,451,730,416,124,660,79,832,7,804,152,857,39,34,113,77,209,339,509,375,731,653,617,138,214,491,659,270,855,347,301,130,528,644,410,747,255,205,157,112,68,226,296,589,24,38,885,231,823,609,359,129,506,97,89,611,426,47,472,276,526,355,817,786,118,106,605,35,13,336,745,188,824,802,783,752,806,390,156,596,447,517,51,768,755,556,602,640,819,379,180,840,780,587,743,874,675,719,328,869,111,306,141,873,430,797,597,216,208,572,520,871,395,834,309,228,189,114,848,412,122,850,632,475,584,314,128,366,145,161,521,449,6,566,71,629,495,663,144,815,322,734,266,258,140,553,510,775,332,781,365,610,580,251,452,444,411,718,463,485,523,371,464,378,406,317,820,551,870,791,384,222,117,497,91,468,290,643,429,682,275,446,323,670,257,577,61,274,833,796,689,531,120,127,525,634,212,125,465,742,756,280,265,688,268,83,174,821,453,399,470,542,338,691,16,289,450,630,665,3,473,11,232,41,196,94,547,349,728,693,827,293,757,440,252,859,425,64,554,711,394,826,22,508,46,370,836,277,202,374,492,882,99,69,574,702,333,479,146,197,162,19,767,151,101,297,380,583,808,287,455,575,680,42,522,100,31,414,776,625,573,345,330,433,854,346,342,516,104,50,132,175,303,764,591,369,677,93,211,167,184,307,95,26,364,462,23,335,598,666,483,652,615,725,762,487,557,839,683,311,488,439,835,694,552,18,386,318,866,235,249,402,310,607,637,55,204,741,624,631,292,876,565,187,436,614,759,392,696,305,354,799,193,812,171,657,794,519,803,471,774,810,326,603,656,294,627,272,594,247,489,230
1: 555,14,590,788,782,52,512,186,264,664,442,881,669,108,381,503,27,686,532,155,362,534,722,15,282,467,154,582,334,329,558,201,373,761,651,648,770,636,772,829,239,518,259,299,562,327,466,256,320,133,53,818,846,477,549,76,655,195,673,877,48,391,291,376,541,358,172,300,135,862,316,87,302,476,400,543,137,707,225,107,224,633,548,851,499,538,500,279,181,616,647,798,352,811,158,62,740,360,684,81,281,377,638,710,858,418,58,884,628,714,841,28,437,511,613,443,350,784,242,771,393,872,661,738,800,860,737,699,372,66,529,687,284,540,576,514,2,44,679,533,131,387,49,215,168,267,765,179,458,739,57,672,726,746,735,246,9,361,139,244,662,685,708,868,405,36,234,550,192,240,595,570,233,368,4,668,383,409,170,417,600,10,838,709,457,733,121,505,150,70,496,807,480,493,667,428,203,844,397,25,507,639,398,454,620,530,164,456,723,604,367,563,67,105,408,789,254,82,546,578,671,110,813,312,847,148,561,340,278,313,579,535,271,126,435,658,421,185,20,754,219,778,592,852,490,315,143,618,324,724,273,304,227,419,650,674,60,80,253,751,220,758,260,856,263,865,559,787,459,825,619,690,744,415,159,681,173,85,237,736,795,431,403,695,845,527,116,441,153,698,285,176,501,236,86,705,308,348,481,33,588,238,883,749,269,32,351,401,136,286,537,612,250,460,504,748,494,200,261,321,74,288,814,221,434,608,243,331,769,343,879,363,191,831,73,777,206,149,241,502,177,396,753,720,867,75,654,245,147,729,337,763,646,210,700,420,790,773,389,341,388,109,422,119,635,469,8,880,163,564,622,63,166,385,190,828,43,40,1,750,849,585,461,29,478,404,649,382,861,601,704,218,169,586,863,98,697,295,716,319,248,12,199,423,641,593,727,207,830,356,809,357,843,837,283,30,816,134,194,424,539,645,413,581,182,438,37,229,72,805,5,560,712,875,842,56,474,568,217,407,65,432,642,445,760,353,45,160,96,198,678,103,766,213,427,59,178,545,515,599,536,90,626,703,17,571,822,486,792,732,544,21,298,779,482,223,448,785,692,498,801,102,183,344,721,123,484,864,325,706,606,793,92,701,713,142,621,262,717,715,878,676,54,513,623,78,567,569,524,88,115,853,165,451,84,730,416,124,660,79,832,7,152,804,857,34,39,113,77,509,209,339,375,731,617,653,138,214,491,270,659,855,347,301,644,130,528,410,747,255,112,205,157,68,296,226,589,24,38,885,231,823,609,129,359,97,506,89,426,611,472,47,526,355,817,276,786,118,106,605,35,13,336,745,188,824,802,783,752,806,156,596,517,390,447,51,768,755,556,602,640,379,819,840,180,780,587,743,874,141,719,675,328,306,111,869,873,430,597,797,216,208,572,395,520,871,834,309,228,189,114,122,848,412,850,632,475,584,314,145,366,521,128,161,6,566,449,71,629,495,663,144,815,322,734,140,266,258,553,510,775,332,781,365,580,411,610,251,444,452,718,485,523,463,371,464,378,317,406,820,870,551,384,791,222,117,497,468,290,91,643,429,682,275,531,446,670,61,257,577,274,796,833,120,323,689,127,525,634,212,125,465,742,280,756,688,268,265,83,174,453,821,399,542,470,338,691,16,289,450,3,630,665,473,11,232,196,547,94,349,41,728,827,693,293,757,440,859,252,425,64,711,554,394,22,826,508,46,370,277,836,202,374,492,882,99,146,702,69,574,19,479,333,197,162,767,151,101,297,380,583,808,287,575,455,680,42,522,100,31,414,625,776,573,345,433,330,854,346,342,516,104,50,369,132,764,303,591,175,677,93,167,211,184,307,95,364,26,462,23,335,598,666,483,487,652,615,762,725,557,839,683,311,488,439,835,694,552,18,318,386,249,235,866,607,310,402,637,204,55,741,624,631,292,876,565,187,436,614,759,392,696,305,799,354,193,812,171,657,794,803,519,471,774,294,326,603,656,810,627,272,247,594,489,230
1: 555,14,590,788,782,512,52,186,669,664,442,881,264,108,503,381,27,686,362,532,155,534,722,15,282,154,467,582,334,329,558,201,373,761,651,648,770,291,636,829,239,518,299,259,562,466,327,133,320,477,818,772,256,53,655,549,195,76,877,673,846,48,391,376,358,541,172,300,862,87,135,316,302,476,400,137,543,707,225,224,548,538,851,633,499,107,500,279,616,798,181,647,352,81,811,158,684,360,281,638,377,62,740,710,58,418,858,884,714,841,28,437,613,511,784,628,443,350,242,771,393,661,860,872,800,738,737,699,2,372,529,687,66,576,168,540,387,44,284,679,533,49,514,131,215,458,267,765,179,739,57,746,672,726,9,735,244,361,139,246,405,868,685,708,36,662,550,234,192,595,233,150,240,570,368,4,383,170,409,838,600,10,417,457,733,121,668,505,709,496,807,70,667,639,203,480,493,397,507,844,428,25,398,454,164,620,456,530,723,604,67,563,367,408,105,82,789,578,671,254,546,110,813,847,312,148,535,278,340,579,271,313,435,490,185,754,126,421,658,20,219,618,143,561,778,592,724,324,315,227,273,852,674,419,304,650,253,80,751,60,758,260,856,220,263,865,787,619,459,559,690,744,825,415,159,85,237,681,795,173,736,431,403,695,845,527,285,698,116,153,441,176,236,308,86,705,481,33,588,883,238,348,749,269,32,351,136,401,501,537,250,612,504,460,748,494,286,261,321,200,74,608,221,814,191,288,243,331,879,769,831,343,434,363,73,149,206,177,502,396,777,241,753,867,720,75,245,729,654,147,337,763,646,210,700,420,773,790,341,389,119,388,109,422,635,8,469,880,622,163,63,564,385,166,828,43,40,190,750,1,382,29,849,649,585,478,461,404,861,704,601,697,218,586,98,863,169,295,716,319,248,12,423,641,593,199,830,727,356,207,809,357,843,283,816,30,837,134,424,539,645,194,581,413,182,229,72,37,805,5,438,712,217,560,568,875,474,56,842,407,65,642,432,445,353,760,45,103,678,160,96,198,766,213,427,59,703,178,545,599,515,90,536,626,17,822,571,792,732,486,544,21,298,779,482,223,448,785,692,498,801,102,183,344,721,123,484,325,864,706,606,92,793,701,713,142,262,621,717,715,878,567,676,54,623,513,78,569,524,88,115,853,165,451,84,416,730,124,660,79,7,832,152,804,113,857,209,39,77,509,339,375,731,34,653,617,138,214,491,270,659,855,347,301,644,130,528,410,747,255,112,157,205,68,296,226,589,24,38,885,231,823,129,609,97,359,506,89,426,611,472,786,526,47,817,355,276,118,106,605,35,336,13,745,188,824,783,802,752,806,156,596,517,390,447,51,768,556,755,602,640,379,819,180,840,780,587,743,874,141,719,675,328,306,111,869,873,430,597,797,216,208,572,395,520,871,834,228,309,189,114,122,850,848,566,412,475,584,314,366,6,145,521,128,161,632,449,71,629,495,144,663,815,266,140,734,258,322,553,510,775,781,332,365,411,610,580,251,452,718,444,485,463,523,371,464,406,378,317,820,870,384,551,117,791,497,222,290,468,91,643,429,682,275,531,446,670,61,796,257,274,577,833,323,120,689,127,212,525,634,125,465,280,742,756,688,265,268,83,174,453,399,821,542,470,338,691,289,3,450,16,630,665,473,11,232,41,547,94,349,196,728,693,827,293,757,440,859,252,425,64,711,394,554,22,826,508,46,370,277,202,374,492,882,99,702,836,19,69,146,574,479,333,197,162,767,151,297,101,380,583,808,287,42,455,575,680,31,100,522,414,625,776,433,573,330,345,346,854,516,342,369,50,764,104,591,132,303,175,677,93,167,211,307,184,95,26,364,23,487,462,335,598,666,483,652,615,762,725,557,839,683,311,439,488,318,694,552,835,249,18,386,235,866,310,607,402,637,204,55,741,631,624,292,565,876,187,436,614,759,392,305,696,799,354,193,812,171,657,803,794,471,294,326,519,774,603,656,627,810,272,489,247,230,594
1: 555,14,590,788,782,512,186,52,669,664,442,881,264,108,503,381,27,362,532,686,155,534,15,282,722,154,467,582,334,329,558,201,373,761,648,651,291,829,636,770,239,518,299,259,562,133,466,327,818,772,53,477,320,256,655,135,549,195,76,846,48,673,376,391,877,358,541,87,172,862,316,300,476,137,302,543,400,707,225,798,224,107,538,499,851,633,500,548,616,279,352,181,811,684,647,81,158,377,281,62,710,360,858,740,418,58,638,841,714,884,437,613,28,628,511,784,350,443,242,393,771,661,800,738,860,872,699,737,372,2,687,529,168,576,387,66,540,284,44,679,533,514,49,267,458,179,131,215,739,57,765,672,746,726,9,244,735,139,361,246,36,685,405,868,662,708,192,550,234,838,240,595,233,570,368,383,4,150,409,417,600,10,170,668,457,505,733,807,121,70,667,709,639,496,493,480,507,397,203,398,164,844,428,25,454,456,620,723,530,367,67,604,408,563,105,546,254,578,671,110,789,82,813,312,148,535,847,278,313,754,579,340,490,271,185,435,126,421,658,20,724,758,219,778,143,618,592,324,227,273,315,419,60,674,650,852,304,253,80,561,751,260,856,263,220,865,690,619,559,787,459,85,744,795,825,415,237,159,681,173,431,736,403,845,285,695,527,116,698,153,441,176,236,705,883,86,33,588,238,481,308,348,749,32,269,351,401,537,501,136,612,250,504,748,460,286,261,494,321,74,814,288,191,200,221,608,243,879,331,769,434,343,831,363,73,149,753,396,206,502,177,777,867,241,75,720,729,654,245,147,763,337,420,790,646,700,210,119,773,341,635,388,389,109,422,43,880,8,469,564,163,828,63,385,166,190,40,622,750,1,849,29,382,478,649,404,585,861,586,461,218,98,601,704,863,295,716,169,697,319,248,12,641,423,593,830,727,207,356,199,809,357,30,816,843,283,837,134,194,424,413,539,581,645,182,229,72,805,217,37,438,5,712,875,568,560,65,56,474,842,407,642,432,760,445,45,678,703,103,198,160,766,213,427,353,59,178,545,96,599,515,90,626,536,17,571,732,486,544,792,298,822,21,482,779,223,448,785,692,498,801,102,183,721,344,123,484,325,864,706,793,606,92,713,142,701,262,621,567,717,715,676,54,878,623,569,78,513,524,88,115,853,165,451,416,84,730,124,660,79,7,152,832,857,804,113,209,77,339,509,375,39,731,34,653,617,138,214,491,270,659,855,347,130,644,528,301,410,255,747,112,157,205,68,296,226,589,24,38,885,231,823,129,97,609,359,506,89,426,611,472,786,47,526,817,355,276,118,106,605,35,336,13,745,824,188,783,802,517,752,156,596,806,390,447,51,556,755,768,602,379,640,819,840,180,780,587,743,874,675,719,141,328,306,111,430,873,869,597,797,216,208,572,834,520,395,871,189,309,114,228,850,122,848,566,412,475,584,314,6,521,366,145,632,161,449,128,71,629,144,495,663,258,266,815,734,322,553,510,140,775,332,365,411,610,452,580,251,781,444,485,463,523,371,464,202,718,378,317,820,870,384,791,117,551,497,222,290,91,468,429,643,275,531,670,682,61,446,796,274,577,257,833,323,120,689,127,212,525,634,465,280,125,742,688,756,265,268,83,174,453,399,821,542,470,338,289,3,691,450,16,630,665,11,473,232,41,547,94,196,728,349,693,827,293,440,757,859,252,425,64,711,394,826,554,22,508,46,370,406,374,146,702,277,99,492,882,836,574,479,69,19,197,333,162,767,101,151,583,380,297,808,287,455,42,575,100,680,31,522,414,625,330,776,433,345,573,346,854,516,342,369,764,104,50,132,303,591,175,677,167,93,211,184,307,95,26,364,23,462,487,335,598,666,483,652,615,762,725,557,839,683,311,439,488,318,694,552,249,386,835,18,235,866,310,607,402,631,204,637,741,55,624,292,565,876,187,614,436,759,392,696,799,305,354,193,803,171,657,812,794,471,294,326,519,774,603,656,627,489,272,247,594,230,810
1: 555,14,810,788,186,590,52,512,782,664,669,881,442,381,108,264,503,27,362,532,686,155,722,15,282,534,154,467,582,329,558,334,201,373,761,648,291,651,770,636,829,299,518,239,477,133,562,327,87,466,259,53,256,320,818,549,135,772,376,655,195,76,172,48,862,846,877,541,673,358,391,476,316,300,302,543,707,400,137,225,851,616,279,499,538,548,633,500,811,224,352,647,158,81,377,107,181,62,684,360,281,418,710,841,58,798,858,740,638,884,437,714,613,168,511,28,443,784,393,350,771,800,372,242,860,661,738,699,2,687,529,628,737,872,540,576,284,66,44,49,514,533,387,179,267,215,679,739,131,458,765,726,746,672,57,244,246,139,361,9,735,838,36,240,685,708,192,662,868,150,550,234,405,570,233,595,368,409,170,383,709,457,668,4,496,10,505,733,639,600,807,417,121,480,164,70,667,493,844,203,67,398,507,25,397,530,620,428,563,454,723,367,546,456,604,578,408,254,535,105,82,671,813,110,789,148,312,340,579,490,271,278,313,435,754,847,421,185,419,143,273,618,20,724,227,219,324,126,561,778,658,315,304,253,60,852,758,674,592,650,751,80,260,856,263,619,220,865,787,795,559,690,173,825,681,237,415,744,459,85,159,431,736,845,698,695,403,285,441,153,176,116,527,348,86,33,705,236,883,481,308,238,32,286,749,351,401,612,269,136,537,250,504,501,748,460,494,288,74,814,191,261,200,221,331,321,243,588,608,879,149,769,343,363,831,73,777,502,177,396,245,763,206,753,241,867,75,654,434,790,720,420,700,147,773,646,210,337,729,388,422,389,8,63,828,119,341,635,163,880,109,469,564,43,190,849,166,40,385,382,1,750,649,29,404,585,622,478,218,601,586,295,98,461,169,319,861,704,716,863,697,248,727,423,12,641,593,830,809,356,207,30,199,357,843,134,816,283,194,837,645,413,539,424,72,805,182,5,298,37,712,229,581,703,438,65,56,875,474,568,842,515,642,432,766,560,45,103,760,213,160,445,198,353,678,427,178,59,407,545,96,599,90,536,17,732,571,626,822,217,544,779,792,486,482,21,223,448,785,692,498,801,102,721,183,344,123,793,864,484,706,567,325,262,713,142,606,701,92,717,621,54,715,676,878,623,569,513,78,524,88,853,115,165,84,730,451,124,113,660,7,79,832,416,152,857,804,209,509,77,339,731,375,617,34,653,39,138,214,491,659,270,855,347,130,644,301,528,410,747,255,112,205,157,296,226,68,589,24,38,885,231,823,359,97,129,609,506,89,426,611,472,817,786,47,526,355,276,106,118,605,336,13,35,745,188,517,824,752,783,802,156,596,806,390,447,51,556,755,379,602,819,768,840,640,180,587,780,743,874,719,141,306,675,328,111,869,430,873,597,797,216,208,834,566,572,871,520,189,114,309,395,228,848,122,850,412,584,475,314,6,521,366,449,145,161,71,128,629,495,663,144,553,632,815,734,266,258,322,510,140,332,775,411,365,610,452,580,718,251,463,523,485,444,371,464,202,781,317,870,820,378,384,117,791,551,222,497,91,290,429,468,670,531,643,682,275,61,796,446,577,323,274,833,257,120,689,634,212,756,127,280,525,742,125,688,465,265,268,174,453,83,821,399,470,542,338,3,289,450,691,16,630,665,11,232,473,94,349,547,728,41,196,693,440,827,859,252,757,293,425,64,554,826,711,22,508,394,46,406,374,370,277,19,146,702,836,492,99,69,479,882,574,197,333,151,583,162,767,101,808,380,297,455,287,100,31,42,575,522,680,414,433,776,330,625,345,573,854,346,516,342,50,487,104,175,132,369,303,591,764,677,93,211,167,184,307,26,364,23,95,462,598,335,666,483,652,615,725,762,557,839,683,311,439,488,318,552,249,386,694,18,235,866,835,310,607,402,204,631,637,741,55,624,292,565,876,187,614,436,696,759,305,799,392,354,193,803,171,657,794,812,471,294,326,774,627,656,603,519,272,489,247,230,594
1: 555,14,810,186,52,590,512,782,664,669,881,442,108,381,264,503,27,532,362,686,155,722,15,282,534,154,467,329,582,558,334,201,373,648,761,291,651,829,636,770,87,518,239,477,133,562,327,846,259,466,135,53,256,320,818,299,549,376,655,195,76,172,48,772,862,358,877,541,673,391,476,316,300,302,543,400,707,137,616,851,225,279,538,377,500,499,633,811,647,352,224,181,548,81,158,107,58,62,684,360,418,281,798,841,710,740,858,437,638,884,613,714,168,511,28,443,784,393,800,350,372,242,737,738,661,860,699,628,771,687,2,529,872,540,284,66,44,576,514,49,387,267,533,179,679,215,739,458,131,765,726,746,672,57,244,361,139,246,735,150,9,36,662,240,685,708,192,868,838,405,234,550,570,233,595,668,368,409,170,709,383,457,4,496,807,639,10,600,733,505,417,121,164,480,70,844,493,203,667,67,398,507,25,397,620,530,428,454,563,723,604,546,367,456,578,408,254,535,105,671,82,110,789,813,148,435,340,312,490,271,579,278,754,847,313,143,758,724,219,185,421,273,227,20,126,419,618,324,304,778,658,315,852,60,561,751,674,592,650,80,253,260,856,795,865,220,263,690,559,787,173,681,825,415,744,85,159,619,459,736,431,698,285,403,695,153,441,527,176,33,237,116,348,86,705,236,883,481,308,845,238,749,32,351,401,612,269,537,286,136,250,504,748,460,494,501,288,814,321,221,331,74,261,200,191,879,243,608,149,769,343,588,831,363,73,777,177,434,502,245,763,75,753,396,241,206,654,867,790,420,720,337,646,773,700,210,147,729,388,63,389,422,8,341,828,119,880,163,635,469,109,382,190,564,849,166,43,385,40,750,1,29,649,404,622,585,218,478,601,319,461,586,98,295,169,704,697,861,716,863,248,727,423,12,641,830,593,809,30,356,199,207,357,134,816,283,843,539,837,194,413,645,424,72,805,298,703,182,5,712,581,229,37,65,438,875,842,56,515,474,642,568,432,560,766,45,103,760,198,213,160,407,678,178,445,427,353,59,545,96,90,536,599,732,17,626,571,822,217,544,779,486,482,792,223,21,448,785,692,498,801,102,721,183,344,793,864,123,567,484,706,262,713,142,325,92,606,701,717,715,621,54,569,623,676,513,878,78,524,88,853,115,165,730,84,451,124,113,660,7,79,832,416,152,857,804,209,509,77,339,731,375,617,34,653,138,39,214,491,270,659,855,347,130,644,301,528,410,747,112,255,205,157,296,226,589,68,24,38,885,231,823,359,97,129,609,89,506,426,611,472,817,786,47,526,355,276,106,118,336,605,13,35,517,824,745,188,802,783,156,596,806,752,390,447,51,556,768,379,602,819,755,840,640,180,587,780,141,874,719,743,306,675,328,111,869,430,597,873,797,216,208,834,572,566,114,520,871,189,395,309,228,848,122,850,412,584,475,314,6,521,449,366,161,145,71,128,629,144,495,663,632,553,734,266,815,258,322,140,510,332,775,411,452,365,718,610,580,251,463,371,523,485,444,202,781,464,317,378,870,820,117,384,791,551,222,497,91,290,531,429,468,682,670,275,643,61,796,577,446,323,274,833,257,120,689,634,212,756,525,280,688,742,127,125,465,265,268,174,453,83,821,399,542,470,338,289,450,3,691,16,630,665,11,232,473,94,349,547,728,41,196,693,440,827,859,757,293,252,425,64,826,554,711,22,508,394,19,406,374,46,146,370,277,836,702,492,479,99,69,882,197,574,333,162,583,151,767,297,380,808,101,455,287,100,42,575,31,522,680,414,433,776,330,345,625,854,346,573,487,342,50,516,104,132,175,303,369,591,764,677,211,93,184,167,307,364,26,95,23,462,598,335,666,483,652,615,725,762,557,839,683,311,439,488,318,552,694,249,386,235,18,866,835,310,607,631,204,402,637,741,55,624,292,565,876,187,614,436,696,759,305,392,799,354,803,171,193,657,794,471,812,326,294,774,627,489,603,656,272,519,247,230,594,788
1: 555,14,810,186,52,590,512,782,664,669,881,381,108,442,264,503,362,532,686,27,155,534,15,282,722,154,467,582,329,558,334,201,761,373,648,87,829,651,636,518,770,291,477,239,133,562,327,846,53,259,466,256,320,818,549,135,376,655,195,76,172,48,299,862,358,673,541,476,877,391,316,772,300,400,302,543,707,137,616,851,225,279,548,500,538,633,499,181,811,81,647,352,168,224,58,107,158,62,858,360,841,418,377,684,281,710,740,638,437,884,511,798,613,714,28,784,443,393,800,661,350,372,687,771,242,738,737,628,860,699,44,872,529,387,2,540,514,576,284,66,179,49,267,533,458,739,150,679,215,765,746,131,672,726,244,361,246,139,57,735,36,9,685,240,192,838,662,708,405,868,570,234,233,550,639,595,368,668,409,170,383,709,457,4,807,10,600,496,733,417,505,164,70,480,667,493,844,121,203,398,507,397,25,67,530,620,454,563,723,604,456,578,428,546,408,535,367,254,105,82,813,110,789,148,271,671,754,435,313,579,340,278,312,490,724,847,143,219,20,227,185,421,273,618,126,778,324,304,758,658,852,60,674,315,650,592,80,253,419,260,751,856,795,865,220,263,561,690,559,787,173,825,415,681,744,159,619,85,459,431,736,698,285,695,403,153,441,176,527,33,237,348,116,86,705,236,883,481,845,308,238,749,32,351,269,612,250,286,537,136,504,401,494,748,460,501,288,814,321,221,261,200,191,74,879,331,608,243,149,769,588,363,343,73,831,777,434,177,753,502,245,763,396,75,206,654,867,241,420,790,773,720,147,646,337,700,729,388,210,389,63,422,828,119,341,880,8,635,163,469,382,109,564,190,166,43,849,40,29,385,750,1,649,622,404,585,461,218,478,586,601,319,98,295,704,169,697,861,716,863,248,423,727,12,830,809,593,356,641,199,207,30,134,357,283,816,843,413,539,837,424,194,645,298,703,805,72,5,182,37,581,712,229,65,438,875,842,560,474,642,56,568,432,515,766,45,103,760,198,407,213,160,678,178,445,427,353,59,545,96,536,90,599,732,17,626,571,822,721,779,544,482,792,486,223,21,448,785,692,498,801,217,102,183,793,344,864,567,123,484,706,262,713,142,325,606,701,92,717,715,54,621,623,569,676,878,513,524,78,88,853,115,165,730,451,84,124,113,660,7,79,152,416,832,857,804,209,509,77,339,731,375,617,34,653,138,39,214,491,270,659,855,347,130,644,301,528,410,112,747,255,205,157,296,226,589,68,24,38,885,231,823,359,97,609,129,89,426,506,611,817,472,786,526,355,47,276,106,118,336,605,13,517,35,824,745,188,783,156,596,806,802,752,390,447,51,556,602,379,768,819,840,755,640,180,587,780,141,743,719,874,306,675,111,328,869,430,873,597,797,216,834,208,572,566,114,871,520,395,189,309,228,848,122,584,850,412,475,6,314,521,449,366,145,161,71,128,629,144,632,495,663,553,258,734,266,815,140,322,510,332,775,411,452,365,718,610,580,251,371,463,523,485,202,781,444,464,317,870,820,117,384,378,791,222,551,497,91,290,531,429,670,468,275,682,643,61,796,577,446,323,274,257,833,120,689,634,756,212,280,688,525,127,742,465,125,265,268,453,174,83,542,821,399,470,338,289,450,16,691,3,630,665,11,232,94,473,349,547,728,41,196,440,693,859,827,757,252,293,425,826,64,554,19,711,22,508,394,406,374,46,146,370,702,836,277,492,479,99,69,882,197,574,333,151,583,162,101,767,808,297,380,455,42,100,31,575,287,522,680,414,487,776,330,573,345,346,625,854,433,342,50,516,104,132,175,303,369,764,591,677,211,167,93,184,307,26,95,23,364,462,598,335,666,652,615,483,725,762,557,839,683,439,311,488,318,552,694,249,386,235,18,310,866,835,607,204,631,402,637,741,55,624,292,565,876,187,614,696,436,759,803,305,799,354,392,171,193,657,794,812,471,326,294,774,627,489,603,656,272,519,247,230,594,788
1: 555,14,810,186,52,590,664,512,782,669,881,108,381,442,264,503,532,362,686,27,155,15,282,534,722,154,467,582,558,329,334,201,761,648,291,373,829,651,770,636,518,477,239,133,327,53,87,562,466,259,549,818,256,135,846,320,376,655,76,195,172,299,48,862,673,358,476,541,391,877,772,316,300,543,400,302,707,137,616,225,851,279,168,538,499,633,500,58,811,352,647,548,158,224,181,107,81,858,62,684,377,360,418,841,281,710,740,638,437,884,511,798,613,714,28,784,443,393,800,372,661,350,737,242,738,628,771,576,687,860,699,387,529,44,514,284,872,2,540,179,66,49,267,739,150,533,679,458,215,765,131,746,672,57,726,244,139,246,361,735,36,9,685,838,405,662,240,192,708,868,570,595,234,233,550,639,368,409,709,170,383,668,457,4,10,807,496,600,417,733,164,505,667,70,480,493,121,844,398,203,25,507,397,530,620,454,563,604,723,456,578,67,546,408,535,367,254,105,813,82,110,789,428,148,754,271,435,313,579,340,671,278,312,847,143,724,219,20,618,185,490,227,421,778,273,324,126,758,304,658,852,674,315,60,253,650,592,80,561,260,751,856,795,865,220,419,690,263,559,173,787,415,825,744,681,85,159,431,285,698,736,459,619,403,695,153,441,176,33,237,348,527,116,86,705,883,236,845,481,238,308,749,32,269,351,286,250,537,612,136,504,401,748,494,501,460,221,814,288,261,321,191,608,200,74,879,331,243,588,769,149,73,343,831,434,363,777,177,753,502,245,763,396,75,206,241,867,654,420,790,773,720,337,210,729,147,700,646,388,63,880,828,119,389,422,341,8,635,163,382,469,109,564,190,43,166,849,29,750,40,1,385,622,649,404,585,461,478,218,586,98,319,601,295,169,697,704,861,716,863,423,248,727,12,809,830,199,593,641,356,207,30,283,357,134,843,816,413,539,837,194,298,703,424,645,805,72,5,37,581,182,229,712,65,438,875,560,842,474,642,56,515,568,432,766,45,760,103,407,198,160,213,678,445,353,178,427,59,96,545,536,90,599,17,626,571,732,721,822,544,482,792,779,21,486,223,785,448,692,498,801,217,102,793,567,183,344,864,123,484,262,706,713,142,325,606,717,701,92,715,54,621,623,569,676,878,513,524,88,78,853,115,165,730,451,84,124,113,660,7,152,79,34,832,857,804,209,509,77,731,339,375,617,416,653,138,39,214,491,270,659,855,347,644,130,301,528,410,112,255,747,205,157,296,226,589,68,24,38,885,231,823,97,359,609,89,129,426,506,817,611,472,786,526,355,47,276,106,118,336,605,13,517,35,824,745,188,806,156,596,783,802,752,390,447,51,556,602,768,379,819,840,755,640,180,587,780,141,874,306,719,743,111,675,328,430,873,597,869,797,216,834,208,566,572,114,871,395,520,189,309,228,848,122,850,584,475,412,6,314,521,449,366,145,161,71,144,629,632,495,128,553,663,258,734,266,815,140,322,510,332,775,411,452,365,718,610,580,251,371,463,523,485,202,781,444,464,317,870,820,117,384,378,791,222,551,497,91,290,531,670,429,468,275,682,643,796,61,577,446,323,257,274,833,120,689,634,756,280,212,525,742,688,465,127,125,265,268,453,174,83,542,399,821,470,338,450,16,289,691,3,630,665,11,232,94,473,349,547,728,41,196,440,693,859,827,757,252,293,19,826,425,64,554,711,146,22,406,374,394,508,46,370,702,836,492,99,479,277,69,197,882,574,333,101,487,162,151,767,808,380,297,455,583,42,31,575,287,522,680,414,100,776,330,345,573,346,625,433,854,342,764,50,132,104,369,516,303,175,591,677,167,211,93,184,307,95,26,23,364,462,598,335,666,483,652,615,725,762,557,839,683,439,311,318,552,488,249,694,386,235,310,18,866,835,607,631,204,402,637,741,624,55,565,292,614,187,876,696,436,759,803,392,799,354,171,305,193,657,794,812,471,326,489,774,627,294,603,656,272,519,247,230,594,788
1: 555,14,590,52,664,782,810,512,881,669,108,381,264,442,503,532,686,27,362,155,15,282,534,154,722,467,329,582,558,201,334,761,829,648,373,651,636,477,291,518,239,53,770,133,327,87,259,466,818,562,549,846,256,135,172,320,376,299,862,76,195,48,655,673,541,358,772,316,391,476,877,300,707,543,168,616,302,400,279,851,137,58,225,811,500,538,158,841,647,548,499,633,81,181,107,352,224,858,62,377,418,437,360,638,710,684,740,281,798,511,884,613,714,28,784,393,443,372,576,800,687,350,661,737,387,540,699,738,628,66,284,2,860,242,771,44,267,529,739,514,872,458,533,679,49,179,215,765,244,131,726,150,746,246,139,672,735,361,36,9,405,192,240,662,708,57,234,868,709,685,570,595,233,639,550,170,409,368,838,383,496,4,457,505,417,733,668,600,844,807,10,121,70,164,480,398,667,493,25,203,397,620,507,578,67,454,723,546,563,530,604,456,408,813,254,367,105,110,428,535,82,143,789,579,313,271,754,671,435,148,312,618,340,278,724,273,490,847,20,219,126,421,324,778,185,658,561,304,227,852,315,253,60,674,592,419,260,80,795,650,856,220,758,751,865,263,173,415,690,559,825,787,681,744,431,698,736,159,285,85,619,459,153,695,403,348,33,237,176,86,527,116,441,705,883,236,286,308,481,238,494,749,845,32,537,351,401,612,269,814,136,501,504,748,250,608,288,460,221,191,261,200,321,74,588,879,343,243,331,769,73,434,363,177,831,149,777,245,502,75,396,763,337,753,790,420,241,63,867,206,773,119,654,700,210,720,388,422,828,729,389,147,646,880,382,341,8,163,190,564,43,469,635,849,109,166,29,40,622,750,385,1,404,585,649,295,461,586,319,218,98,697,601,478,863,169,704,727,423,861,248,716,809,830,12,641,593,356,207,30,413,357,843,134,199,539,816,298,703,424,712,837,645,805,194,283,72,842,5,229,182,581,515,65,875,438,474,56,37,432,45,766,560,760,642,103,568,198,160,353,678,445,213,427,407,59,178,545,96,536,90,599,732,17,626,571,721,822,482,544,223,792,486,779,21,785,448,567,692,498,217,801,793,102,183,864,262,344,123,706,713,142,484,717,325,606,701,54,92,715,621,569,78,878,524,853,513,676,88,115,165,623,730,451,84,124,113,7,660,79,832,34,152,857,209,804,731,509,77,339,375,617,416,653,138,39,214,491,270,659,855,347,644,130,528,301,410,112,747,255,205,296,157,226,589,68,24,38,885,129,97,823,231,89,609,359,786,426,817,355,611,506,526,472,47,276,106,118,605,336,13,517,35,824,745,188,156,596,783,806,752,447,390,802,556,51,840,768,819,640,379,755,602,180,587,780,141,719,874,743,306,111,675,328,869,597,873,430,797,216,566,834,208,114,572,189,871,520,395,309,228,848,122,6,475,584,314,412,850,449,521,366,161,145,71,629,632,144,553,495,663,128,815,322,258,734,140,266,510,332,775,452,411,718,365,610,371,580,463,251,523,202,781,485,464,444,317,117,870,384,820,791,378,670,551,290,91,531,497,682,222,275,429,643,468,577,61,323,274,796,446,833,257,120,634,689,280,756,742,125,688,525,212,127,465,265,268,453,174,399,821,542,83,470,450,338,691,289,16,630,3,665,94,232,11,349,473,547,728,440,41,196,859,693,827,757,252,826,293,425,64,554,19,508,711,406,374,22,146,394,46,370,702,487,492,277,99,836,882,197,574,333,69,479,808,151,101,455,583,380,162,297,767,42,31,522,287,575,100,680,776,414,330,433,345,346,854,573,625,764,342,50,132,104,516,175,303,369,591,167,211,93,677,184,307,95,26,364,23,462,598,335,483,615,666,652,725,762,557,839,683,439,311,249,741,318,694,488,235,386,310,18,866,835,631,607,204,402,637,552,624,55,565,292,614,187,876,696,436,759,803,799,354,171,392,305,657,193,794,471,812,326,627,489,774,294,603,656,272,247,519,230,788,594,186
1: 555,14,590,52,664,782,810,512,669,881,108,381,264,442,503,532,686,362,27,155,15,282,534,154,722,467,582,329,558,201,334,829,761,373,648,651,477,636,291,53,518,770,239,133,87,327,259,818,466,562,549,846,135,256,172,376,299,320,862,655,195,673,48,76,541,168,358,391,316,877,476,300,707,543,772,616,400,302,279,851,137,58,225,500,538,841,811,158,499,647,633,81,107,181,352,224,548,858,437,62,360,418,684,638,710,377,740,281,511,884,613,798,714,28,393,784,576,443,800,372,687,350,661,66,2,679,387,860,738,242,540,737,771,284,267,739,628,44,699,458,529,533,179,49,872,514,215,765,244,131,150,726,735,139,746,246,672,361,9,36,405,240,662,192,639,708,709,234,868,570,57,233,685,595,550,383,170,409,368,496,4,457,838,417,505,733,807,844,600,10,667,164,121,70,480,493,398,25,668,397,203,620,507,578,67,454,563,546,723,530,604,408,367,813,254,456,428,105,110,535,82,143,754,789,579,313,671,618,271,435,148,312,185,724,278,340,561,778,126,273,847,219,421,658,20,490,324,304,227,852,253,315,60,674,419,795,592,260,80,650,751,856,758,220,559,415,173,865,263,431,787,825,690,744,85,681,159,698,736,619,285,459,153,695,403,33,237,176,348,527,86,441,116,705,286,883,236,238,308,481,494,845,749,32,537,351,814,401,269,612,501,504,136,250,748,608,288,460,191,221,200,261,588,321,74,879,331,343,243,73,434,769,149,363,831,177,777,245,502,763,396,75,337,753,119,790,241,867,206,420,773,63,654,700,210,388,828,729,720,422,880,389,147,382,646,8,341,163,190,564,849,43,469,635,109,166,29,622,40,750,385,1,404,295,585,649,586,319,461,98,218,601,478,863,697,169,704,727,861,809,248,423,716,830,12,593,641,207,356,413,30,357,843,134,703,539,816,298,199,424,194,805,283,712,72,645,842,837,229,37,5,182,581,65,515,438,875,474,432,45,56,560,760,642,766,103,568,353,198,445,160,678,213,407,427,59,178,545,96,536,90,599,732,17,626,571,721,822,482,223,544,792,779,486,21,567,785,448,692,498,217,801,793,102,183,262,864,344,123,706,713,142,484,717,325,606,701,92,54,715,569,621,676,78,878,524,853,513,88,115,165,623,451,730,113,84,124,7,660,79,152,34,832,857,209,804,731,509,77,339,375,617,416,653,138,214,39,491,270,659,855,644,347,528,130,301,410,112,747,255,205,296,157,589,226,68,24,38,885,97,129,231,823,89,359,609,426,817,786,355,611,506,526,472,47,276,106,118,336,605,13,517,824,35,745,188,156,596,783,752,806,390,447,802,556,51,840,819,768,379,602,640,755,180,587,780,719,141,874,306,743,111,675,328,597,869,873,430,797,834,216,566,208,114,572,871,189,520,395,309,228,848,6,122,475,584,314,412,850,449,521,366,161,145,71,629,632,144,553,495,663,815,128,322,734,140,258,266,510,332,775,411,718,452,365,610,371,463,580,202,781,251,523,485,464,444,317,117,870,384,820,791,670,378,551,290,91,531,682,497,222,429,643,275,468,796,577,323,61,274,446,833,257,120,634,280,756,689,742,125,688,525,212,127,465,265,453,268,174,542,399,821,83,450,470,338,289,691,16,3,630,665,94,232,349,11,547,473,440,728,41,196,859,693,757,827,487,252,293,425,64,554,146,19,711,406,826,508,22,394,46,370,702,374,492,882,277,99,197,836,574,333,69,479,808,101,151,583,380,767,297,455,162,42,287,31,100,522,575,680,776,414,330,433,345,346,854,573,764,625,342,50,132,167,175,104,303,369,591,516,211,677,93,184,95,26,307,23,364,462,598,483,615,335,666,652,725,557,762,839,439,249,683,311,741,318,694,235,488,386,310,18,866,835,631,204,607,402,637,552,624,565,55,292,614,876,696,187,803,759,436,799,354,171,392,305,657,193,471,794,812,326,627,489,774,294,603,656,272,247,519,788,230,594,186
1: 555,14,590,186,52,664,782,810,512,881,669,381,108,264,442,503,532,27,686,362,155,15,282,722,154,534,467,558,329,582,201,334,761,829,373,291,648,477,636,87,651,53,770,239,518,133,818,327,562,259,466,549,256,135,172,376,846,320,655,862,195,673,541,168,76,48,358,391,316,877,476,300,772,707,543,616,302,400,279,299,851,58,158,225,500,841,538,137,499,811,647,633,81,224,352,107,181,858,62,684,418,360,548,437,281,638,740,710,511,884,613,377,714,784,28,393,576,800,372,443,2,350,687,66,679,387,798,771,661,860,284,738,458,44,267,739,628,540,737,242,529,872,533,49,179,514,699,215,244,150,765,131,726,735,139,746,672,246,639,361,9,36,405,240,192,662,708,709,868,233,57,570,234,685,595,550,409,383,170,368,496,4,807,667,838,457,505,417,733,600,164,121,844,70,10,480,493,25,668,398,397,203,620,578,67,507,454,563,723,546,530,604,408,367,813,456,428,254,105,789,535,110,143,82,754,271,671,579,313,435,618,185,312,148,724,778,561,278,219,126,273,340,847,658,421,490,20,324,227,304,852,80,315,60,419,253,674,795,592,260,650,751,431,758,220,856,173,865,263,415,787,559,825,690,85,681,159,698,619,744,285,736,459,695,153,403,33,237,176,348,86,441,527,116,705,286,308,883,236,238,481,494,845,749,32,351,537,814,401,269,612,504,136,250,748,460,288,191,608,221,261,200,501,321,74,343,879,243,73,588,331,769,831,149,363,177,777,396,245,763,502,75,337,867,119,753,790,241,434,206,63,422,654,773,828,420,700,210,388,880,729,147,389,720,646,8,635,341,382,190,564,163,849,469,109,43,166,385,29,40,750,622,1,404,295,585,649,461,319,586,98,218,478,601,697,169,863,704,727,716,809,861,423,248,830,12,207,593,703,641,356,30,357,843,413,539,298,199,134,816,424,283,805,194,712,72,842,645,37,837,229,5,182,581,65,560,875,438,474,432,45,515,56,766,760,642,568,353,103,445,198,160,678,213,407,427,59,178,96,545,536,90,599,732,17,721,626,571,822,223,482,544,792,779,567,21,785,486,448,692,498,217,793,801,102,262,864,183,344,123,706,713,142,484,717,701,325,606,92,715,54,569,621,676,524,878,78,88,513,853,115,730,623,165,451,113,84,124,7,660,79,152,34,832,857,209,804,731,509,77,339,617,416,375,653,138,214,491,39,270,659,528,644,855,347,130,301,410,112,747,255,296,205,589,157,226,68,24,38,97,885,129,89,231,823,359,609,426,817,355,786,611,506,472,526,47,106,276,118,336,605,13,517,35,824,745,188,156,596,783,752,806,390,447,802,556,602,51,819,840,768,379,640,755,180,587,597,780,141,306,874,743,111,675,328,719,869,873,430,797,834,566,216,114,208,572,871,189,520,395,309,228,6,848,475,122,584,412,850,449,314,521,366,161,145,71,632,629,144,553,495,128,815,663,734,140,258,510,322,266,332,775,718,411,452,365,371,463,610,202,781,580,251,523,485,464,444,117,317,870,384,791,670,820,378,551,91,531,290,497,682,222,429,643,468,275,796,323,61,577,274,446,833,257,120,280,634,689,756,688,742,125,525,212,465,127,453,268,265,174,542,399,821,450,83,470,338,289,691,16,3,630,94,665,232,11,349,547,440,473,728,41,859,196,693,757,827,487,252,19,293,146,425,64,554,711,406,826,508,394,22,46,370,374,702,882,492,99,197,277,574,333,479,836,69,808,101,151,583,767,297,380,455,42,162,287,522,100,575,680,31,776,414,345,433,330,346,854,573,764,625,342,50,132,167,303,104,175,369,591,516,211,93,677,95,184,307,26,23,364,462,598,483,615,666,335,652,725,557,762,439,249,839,311,683,741,318,694,235,488,310,386,18,866,631,835,204,607,402,637,552,55,565,624,292,614,803,187,696,876,759,436,799,354,392,171,305,657,193,812,471,326,627,794,489,774,294,603,272,656,247,788,519,230,594
1: 555,14,590,664,52,782,512,669,881,810,108,381,442,264,686,27,503,532,362,155,282,15,722,154,534,467,558,329,582,201,373,761,829,334,648,477,291,651,636,53,770,87,239,133,818,518,327,466,562,259,549,256,135,172,376,655,320,195,673,862,168,48,76,541,358,391,877,316,476,300,846,707,543,302,400,616,772,279,158,851,841,225,299,58,538,500,499,858,647,224,633,137,81,811,352,107,181,62,684,548,418,360,281,710,437,740,638,511,377,613,884,714,784,28,800,393,576,372,2,387,443,771,798,284,350,679,66,661,860,267,739,150,44,687,738,540,737,242,458,529,179,514,872,533,49,699,215,628,244,765,131,735,726,139,746,672,639,9,246,361,36,405,662,240,192,570,708,57,595,233,709,234,685,868,550,838,409,383,170,368,505,807,667,4,457,496,417,733,70,164,844,600,121,10,480,493,668,398,25,397,203,620,578,67,507,454,723,546,563,530,408,367,604,813,671,456,754,105,789,254,535,143,110,561,82,313,579,618,271,778,724,148,185,428,278,312,219,435,273,340,421,847,758,658,126,20,324,304,227,852,315,60,490,253,674,80,592,795,260,431,650,751,419,220,856,787,865,263,825,415,559,173,690,85,698,681,159,744,736,285,459,695,153,33,619,403,176,86,441,348,116,237,527,308,705,883,236,481,286,238,494,749,32,351,537,401,269,845,814,504,612,250,136,748,588,460,288,608,191,221,200,321,261,74,343,73,501,331,879,243,769,831,149,363,177,396,777,245,75,502,434,763,337,753,790,867,420,241,206,828,119,422,654,63,700,773,382,880,210,388,147,720,341,389,646,729,8,635,163,190,564,849,109,622,469,166,385,29,40,43,1,750,404,585,295,649,461,319,478,586,98,703,218,863,601,716,861,169,697,704,727,809,423,248,830,12,593,641,207,356,357,30,413,843,298,199,539,816,424,134,283,712,194,805,72,645,229,37,842,837,5,182,581,560,65,438,875,474,56,515,432,45,760,642,568,353,103,766,445,678,198,407,213,160,427,59,96,178,545,536,90,732,599,17,721,571,626,822,567,223,482,544,779,792,785,486,21,448,692,498,217,793,801,102,262,864,183,344,123,706,713,142,484,717,701,325,606,92,54,715,569,621,524,676,88,878,513,78,853,115,730,623,451,165,113,84,124,7,660,152,79,34,832,209,857,731,804,509,77,339,416,617,375,653,138,214,491,39,270,659,644,528,855,347,130,301,410,112,747,255,296,205,157,589,226,68,24,38,97,885,231,89,129,359,823,426,786,817,609,355,611,472,526,506,47,106,276,118,336,517,605,13,824,35,745,188,156,596,783,752,806,447,390,802,556,819,51,602,768,840,640,379,755,180,597,587,306,780,141,874,743,111,675,719,328,873,869,430,834,797,566,216,114,208,572,871,189,520,395,6,228,309,848,122,475,584,449,412,850,521,314,366,71,145,632,161,629,553,144,495,815,128,663,140,510,734,258,266,322,332,775,718,452,411,365,371,463,580,202,781,251,523,610,485,444,464,117,317,384,670,870,820,791,378,91,551,531,290,497,682,222,429,796,643,468,61,323,577,275,446,274,833,257,280,120,634,689,756,688,742,125,212,453,525,465,127,268,265,542,174,399,821,450,83,470,338,691,289,16,94,665,630,3,232,11,349,547,487,473,728,19,859,41,196,693,757,440,827,252,146,293,425,554,406,826,64,711,508,22,394,46,374,702,370,492,99,882,197,277,574,479,836,333,69,808,101,100,151,162,297,767,380,455,42,287,583,522,575,680,31,776,414,330,433,345,346,854,573,764,625,342,50,132,167,303,104,175,369,591,516,211,93,184,95,677,26,307,23,364,462,598,483,615,335,666,652,249,725,762,557,439,839,311,683,741,318,694,310,235,488,386,18,866,631,835,204,607,402,637,552,55,565,624,292,614,696,803,187,759,876,354,436,799,392,171,305,657,193,471,794,326,627,812,489,774,294,603,272,656,247,788,519,230,594,186
1: 555,14,590,52,669,512,881,782,108,381,810,442,264,686,532,503,27,362,155,282,15,154,467,329,558,582,201,722,534,829,334,373,761,648,477,636,770,133,291,53,651,239,327,818,518,87,549,562,172,466,259,376,256,862,673,320,168,135,195,655,48,541,76,476,707,316,846,391,877,358,300,400,543,279,772,302,616,851,158,299,500,841,538,225,81,137,58,647,858,811,499,633,224,548,107,684,352,418,181,62,360,437,638,377,710,281,740,511,613,884,714,784,800,576,393,387,28,284,443,798,2,372,661,350,179,687,267,739,150,771,66,44,860,737,679,529,533,458,639,738,540,872,244,242,215,49,514,699,735,765,131,746,246,628,139,726,361,672,9,662,36,405,192,595,708,685,709,240,233,234,570,868,550,170,409,57,807,383,164,505,667,368,496,4,844,417,733,480,457,70,121,600,838,493,397,25,398,10,620,578,668,546,203,454,563,67,723,367,507,408,530,561,535,813,604,110,456,254,789,754,105,82,313,778,579,143,618,185,671,148,278,724,435,271,273,421,219,428,304,20,126,340,312,324,852,658,847,60,227,315,80,795,253,490,674,431,260,592,650,856,220,85,419,690,263,751,825,415,285,787,758,865,559,698,173,159,681,736,459,744,33,619,695,176,403,153,348,308,286,441,527,86,883,494,481,705,237,238,236,401,116,32,749,814,537,588,351,269,504,612,136,845,250,748,608,288,191,460,221,331,501,343,200,74,261,321,245,73,879,434,831,243,763,363,149,769,119,177,777,502,75,396,867,337,790,241,753,828,420,700,63,206,422,654,773,729,720,388,210,880,389,341,382,8,147,646,635,163,849,190,43,564,469,109,166,385,622,29,40,1,750,295,404,461,319,649,586,98,218,478,697,585,863,169,809,727,601,704,716,861,830,423,248,703,12,207,593,357,641,413,356,843,30,134,298,199,539,816,283,842,72,805,424,837,229,37,645,712,194,5,182,515,65,45,438,432,474,560,581,875,760,407,103,56,678,766,642,568,445,353,160,213,198,96,427,178,545,59,90,599,536,567,721,732,17,626,571,544,822,482,486,223,21,779,792,785,448,692,498,217,793,801,262,864,102,183,344,123,717,713,706,484,569,606,701,54,325,621,92,142,715,853,676,88,524,513,878,78,115,623,165,113,730,451,84,124,7,660,152,34,79,832,209,731,857,804,509,77,416,339,617,375,653,214,138,491,270,659,528,644,39,855,347,130,301,410,112,747,296,255,205,589,157,226,68,97,38,24,885,129,89,231,359,355,786,823,817,611,426,609,506,472,526,47,605,276,106,336,13,118,517,824,35,745,156,596,188,783,752,806,447,390,556,819,802,51,602,379,640,768,755,840,597,180,306,141,780,587,743,874,111,834,328,873,869,675,719,797,430,216,114,208,572,871,566,520,189,309,228,395,848,6,122,584,475,449,314,412,521,850,366,161,632,145,629,553,71,495,144,510,663,815,140,322,734,332,128,258,266,775,718,452,411,365,371,463,202,781,580,251,523,610,464,485,444,117,670,870,317,384,820,791,378,323,551,91,682,290,497,796,222,429,643,531,468,577,61,275,833,274,446,257,280,120,634,756,689,125,742,688,465,453,127,212,268,525,174,542,265,821,399,450,83,338,470,289,691,16,487,19,3,630,665,349,232,94,473,547,728,11,859,196,440,41,693,146,252,827,757,293,425,554,406,826,64,508,711,22,394,46,374,702,370,882,492,99,277,197,574,479,333,836,69,808,101,151,100,42,380,455,767,297,162,287,583,522,776,575,680,31,433,330,345,414,346,854,625,167,573,342,50,516,369,132,303,175,104,591,764,211,26,93,184,95,677,307,23,364,249,462,598,483,666,335,652,615,762,725,439,557,311,839,683,741,318,310,235,694,488,386,18,866,631,835,204,607,402,637,552,565,624,55,803,696,292,759,614,187,876,436,799,354,171,392,305,657,193,627,471,794,326,812,489,774,294,603,656,272,247,788,230,594,519,186,664
1: 555,14,52,590,669,881,512,782,108,381,810,442,686,264,532,362,503,27,282,155,15,154,558,329,467,582,201,722,534,829,373,761,334,648,477,636,770,291,53,133,651,239,818,518,87,327,549,562,259,172,466,168,376,256,862,135,673,320,655,195,541,48,76,476,316,846,707,391,358,877,300,299,543,279,400,302,616,772,158,851,500,841,538,858,225,137,58,81,811,647,499,633,107,548,224,684,352,62,418,181,360,437,710,377,638,511,281,613,740,884,387,800,784,714,284,2,576,393,28,798,443,350,661,372,771,687,739,179,267,44,66,737,679,860,458,529,639,540,533,738,242,244,49,872,150,215,699,735,765,746,514,131,139,246,726,361,9,662,672,628,405,36,595,192,708,240,233,685,709,234,570,868,550,170,807,409,383,57,667,505,368,417,496,838,4,844,733,457,480,600,70,121,164,493,25,398,397,33,668,10,620,203,546,67,563,454,507,723,367,408,561,530,535,813,254,456,110,754,604,105,789,313,579,143,618,778,671,185,148,82,435,852,278,271,421,273,428,219,724,126,340,304,20,312,324,658,227,60,847,795,315,80,490,674,253,431,592,260,856,650,220,758,85,690,285,263,825,865,751,415,419,698,681,787,559,159,173,736,459,744,578,286,695,176,153,403,348,308,619,86,527,441,883,237,401,481,705,236,238,116,494,32,588,749,814,351,537,269,504,845,612,136,250,608,748,501,288,460,221,191,321,879,343,200,74,331,245,119,261,73,831,243,763,363,149,769,434,177,777,502,75,420,867,337,241,790,828,396,700,422,206,63,753,654,382,773,720,210,341,388,880,729,389,8,635,147,646,163,849,43,190,109,564,469,385,29,622,166,40,1,750,295,461,404,649,319,586,585,697,218,863,478,98,716,809,169,727,601,861,704,830,423,248,703,12,357,207,413,641,593,356,843,30,134,298,199,539,283,816,842,72,194,805,645,424,37,837,229,5,515,182,712,438,65,432,560,45,581,474,875,353,56,760,103,568,766,678,642,445,407,160,213,198,427,178,96,59,545,567,90,599,536,721,732,17,626,571,822,544,482,486,223,21,779,792,785,448,692,217,793,498,262,801,102,864,183,344,123,717,713,142,706,484,569,606,54,701,325,621,92,715,853,676,513,88,524,78,878,623,115,113,165,451,730,124,84,152,7,34,660,79,832,209,731,857,804,509,77,416,339,617,375,653,214,138,491,270,528,659,644,39,855,347,130,301,410,112,747,296,255,205,589,157,226,68,97,38,24,885,89,129,231,786,359,355,823,817,611,609,426,506,472,526,605,47,106,276,336,118,13,517,824,35,156,596,188,745,783,752,806,447,390,819,556,51,379,802,768,640,602,755,597,840,180,141,780,306,587,743,874,719,111,834,675,328,873,869,114,797,430,216,208,572,871,566,189,520,228,309,395,848,6,475,122,584,449,314,521,412,850,161,366,632,145,629,553,71,495,144,510,140,815,663,128,734,332,322,266,258,718,452,775,411,365,371,202,781,463,580,251,523,610,464,444,485,117,670,870,317,384,820,791,551,280,91,378,290,682,796,497,222,643,429,323,61,468,577,275,833,274,446,257,531,634,120,756,689,125,742,688,453,465,212,268,525,542,127,174,265,399,450,821,19,83,338,470,289,487,16,691,3,630,349,94,665,232,547,473,11,728,859,196,440,146,41,252,693,827,757,293,425,406,826,554,508,64,711,22,394,46,374,702,370,882,492,99,197,277,479,574,333,836,69,808,101,100,151,42,380,455,767,297,162,583,287,522,680,575,776,31,433,330,345,414,346,625,167,854,573,342,369,516,50,132,175,303,104,591,764,26,211,184,93,95,677,307,23,364,249,598,462,483,666,335,652,615,762,725,439,557,311,839,683,310,741,318,235,694,488,386,631,866,18,204,607,835,402,552,637,565,624,803,55,696,292,614,759,187,876,799,436,354,171,392,305,657,193,627,471,326,794,812,489,774,294,603,272,656,247,788,230,594,519,186,664
1: 555,14,52,669,590,881,782,512,108,381,442,810,532,362,686,503,27,264,282,155,15,154,558,582,329,467,201,722,534,761,373,829,648,334,477,636,770,53,291,818,239,133,651,518,87,327,549,562,172,259,466,376,256,135,320,168,673,862,195,655,48,541,76,877,300,316,358,476,707,391,846,543,279,400,302,616,299,851,158,841,500,225,858,772,538,647,81,811,58,633,499,224,137,684,352,107,418,62,437,360,181,638,548,281,511,710,387,740,613,284,377,884,784,714,28,576,393,800,2,771,443,179,350,372,739,798,687,661,267,44,66,737,860,679,529,639,533,738,540,458,244,872,215,242,150,49,699,131,735,765,514,746,9,139,246,726,662,361,672,628,405,36,240,192,595,233,708,667,709,234,685,570,868,807,550,409,170,383,57,505,368,838,496,4,417,480,70,733,844,457,600,164,121,493,25,398,33,668,397,10,620,67,203,723,546,563,367,454,561,507,408,254,530,535,456,754,813,110,789,604,313,105,579,778,143,618,671,185,435,148,724,852,278,421,312,273,82,126,271,304,227,324,219,340,490,658,795,20,847,60,431,80,428,315,674,592,253,220,260,650,856,758,85,690,285,681,698,825,263,419,751,559,415,787,159,865,173,459,736,578,286,744,176,695,153,403,348,619,308,441,86,588,527,883,481,705,236,116,237,401,238,749,494,32,351,814,537,845,269,612,504,136,250,501,748,608,288,460,191,221,343,879,261,74,200,331,73,119,321,245,763,243,831,363,149,434,769,177,777,420,502,75,337,867,790,828,396,700,63,241,422,206,753,382,654,773,880,341,388,389,729,210,720,8,147,635,646,163,43,849,190,109,564,469,29,622,385,40,166,461,295,750,404,1,649,319,586,697,863,478,585,98,218,809,169,727,601,716,704,830,861,423,703,248,12,357,641,413,356,593,207,843,298,199,134,30,539,283,816,842,805,194,72,37,837,424,712,645,229,515,438,182,5,65,560,45,432,474,760,581,875,103,766,678,56,445,568,353,642,160,198,213,407,567,178,427,96,59,545,536,90,599,721,17,626,732,571,822,544,223,486,482,779,21,792,785,793,448,692,217,498,262,801,864,102,183,344,123,717,713,142,706,484,569,606,54,701,325,92,621,715,853,676,88,513,524,78,878,623,115,113,165,451,730,124,84,152,7,34,660,79,832,209,731,804,857,509,339,416,77,617,653,375,138,214,491,528,270,659,644,39,855,347,130,301,410,112,747,296,255,205,589,157,226,68,97,38,24,885,129,89,359,786,231,817,355,823,611,426,609,526,472,506,605,118,336,47,13,106,276,517,824,35,156,596,745,188,783,752,447,806,819,556,390,802,602,51,840,379,640,597,768,755,180,306,141,780,587,743,874,834,111,873,328,675,719,869,114,430,797,216,208,572,871,566,520,189,228,395,309,848,6,584,475,122,449,521,412,314,850,366,632,161,145,629,71,553,144,495,510,140,815,663,128,734,266,332,322,718,258,775,452,411,365,371,202,781,463,580,251,523,610,464,444,485,117,670,870,384,317,820,791,280,91,378,551,796,682,290,497,429,643,222,531,61,468,275,577,833,274,446,634,323,257,120,756,689,742,125,688,453,465,525,268,542,212,127,19,174,265,450,399,821,83,338,470,487,289,16,691,3,630,94,349,665,232,547,473,11,728,859,196,440,146,41,693,252,827,757,293,425,406,826,508,554,64,711,22,394,374,46,702,370,882,492,99,197,277,479,574,333,836,69,808,101,100,42,151,380,455,297,767,162,583,287,522,776,31,575,680,764,330,414,345,346,625,516,573,854,342,369,167,50,132,175,303,104,591,433,26,211,95,184,93,677,307,23,249,364,598,462,483,666,335,652,615,762,439,725,557,311,839,683,310,235,741,318,694,488,386,631,866,18,607,204,835,402,552,637,565,624,803,55,696,292,759,614,187,876,799,436,354,171,392,305,627,657,193,471,326,794,812,489,774,294,272,603,656,788,247,594,230,519,186,664
1: 555,14,519,52,669,881,590,108,512,782,381,442,686,532,362,264,503,27,810,282,15,155,154,558,582,329,467,201,722,761,373,829,648,534,477,636,770,53,818,334,651,239,133,291,518,327,562,549,87,259,466,172,376,256,135,673,195,320,655,862,541,48,168,76,300,877,358,476,707,316,846,391,543,302,279,400,299,616,851,158,841,58,858,500,772,225,538,81,647,811,633,499,137,224,684,352,107,62,418,181,437,360,548,638,387,281,511,710,740,377,284,613,884,2,714,800,28,784,576,393,771,443,687,739,639,350,179,372,44,267,458,860,66,661,798,737,679,738,529,533,244,540,242,150,872,215,49,131,735,699,9,514,765,746,139,246,726,628,361,662,672,405,36,192,595,240,233,708,667,685,709,570,234,868,550,807,383,170,57,409,368,496,838,505,4,733,480,417,70,600,844,164,457,121,493,398,25,33,668,397,10,620,67,203,723,367,563,546,408,561,454,507,254,530,535,754,456,110,813,789,604,313,105,618,143,671,579,778,148,435,724,852,278,185,421,312,271,273,227,126,82,304,490,324,219,658,340,795,20,847,60,758,315,431,80,674,253,592,85,260,220,650,419,856,690,751,285,681,825,698,428,559,263,415,787,865,159,173,736,578,286,459,744,176,695,619,153,403,348,308,441,883,588,86,527,481,116,238,705,236,237,401,749,32,814,494,351,845,537,269,504,612,250,501,136,748,608,460,288,191,73,221,343,879,331,321,261,119,74,200,245,763,831,363,243,434,149,769,177,777,420,337,75,828,396,502,753,867,790,700,63,241,382,654,422,206,773,880,389,341,147,729,210,388,720,8,646,163,43,635,849,109,190,564,469,622,29,385,40,166,703,295,750,1,404,649,319,586,478,863,98,218,585,169,601,809,461,727,716,704,697,830,423,861,248,12,413,357,641,356,593,207,134,843,298,199,30,539,283,816,194,72,842,712,424,805,837,37,645,229,515,438,182,432,5,65,45,560,760,875,474,581,103,56,766,678,353,445,568,642,567,160,407,213,198,178,427,96,545,59,90,721,536,599,17,732,626,571,822,544,223,486,779,482,21,792,785,793,448,692,217,262,498,801,864,102,344,183,713,142,123,717,706,484,569,606,701,325,54,715,92,621,88,853,676,513,78,524,878,623,115,113,451,165,730,124,84,152,7,34,660,209,79,832,731,804,857,509,339,416,77,617,653,375,138,491,214,528,270,659,644,855,39,130,347,301,410,112,296,747,255,205,589,157,226,97,68,38,24,885,89,129,786,355,359,817,231,823,611,426,609,605,526,472,118,336,506,13,517,47,106,276,824,156,596,35,745,188,783,447,752,806,819,390,556,602,840,802,51,640,379,597,768,755,180,306,141,780,587,743,874,834,111,675,873,328,719,869,114,430,797,572,216,208,566,871,520,189,228,395,309,475,6,584,848,122,449,521,412,314,850,366,632,161,145,629,71,553,144,495,510,140,815,128,663,734,332,266,718,258,322,775,452,411,365,202,781,371,580,251,463,523,610,464,444,117,485,670,870,384,317,820,791,280,91,378,796,682,551,290,222,497,429,643,531,61,275,468,577,274,833,446,323,257,634,120,19,756,689,453,742,125,688,542,465,212,525,268,127,487,174,265,821,399,83,338,450,470,289,16,691,3,630,94,11,349,665,232,547,473,728,859,440,146,196,41,693,252,827,757,293,406,826,425,64,508,554,711,22,374,394,46,702,370,882,492,197,277,479,99,574,333,69,836,808,100,101,42,151,380,297,455,767,583,162,287,522,575,776,31,680,764,330,414,345,346,625,167,573,854,342,369,516,50,303,175,132,104,591,433,26,211,95,184,93,677,307,23,249,364,598,462,483,666,335,615,652,762,439,725,557,311,839,318,310,235,741,683,694,488,386,866,631,18,607,204,835,402,552,637,565,803,624,55,696,292,759,614,187,876,799,436,171,354,392,305,627,657,193,471,326,794,812,489,774,272,294,603,656,788,247,230,594,664,186
1: 555,14,519,52,669,881,782,108,512,590,381,442,686,362,532,264,503,27,810,282,15,154,155,558,329,582,201,467,722,829,761,373,648,534,636,770,477,53,334,818,651,239,291,133,518,327,562,549,466,259,172,256,135,376,87,195,673,320,655,862,168,541,48,76,300,877,358,476,846,391,707,316,543,302,279,299,616,400,851,158,58,841,500,772,858,538,225,81,647,811,137,684,633,499,224,387,107,352,62,418,548,284,437,181,638,360,710,377,511,281,740,613,884,2,800,714,784,576,28,393,771,458,687,739,639,443,179,372,66,44,860,267,350,737,798,661,679,738,529,533,244,872,150,540,242,49,215,9,514,699,735,131,765,746,139,246,726,361,662,672,405,667,595,36,628,192,240,233,709,708,234,570,685,868,550,807,57,383,409,170,838,368,496,505,4,733,480,417,164,600,844,70,457,121,493,398,33,668,25,397,10,67,203,620,723,408,546,563,367,454,507,254,535,530,754,561,110,456,789,813,604,579,105,143,618,778,313,724,148,435,852,278,671,421,185,271,227,273,126,312,82,795,758,304,324,340,219,658,60,847,490,20,315,431,85,253,260,592,674,220,419,80,650,681,690,856,285,428,698,559,825,751,415,787,865,173,159,578,286,263,736,744,459,588,176,695,153,403,348,308,441,619,883,481,86,527,238,237,116,749,401,705,236,32,494,351,845,537,814,269,504,501,612,250,748,136,608,460,191,288,73,221,343,879,119,321,261,74,331,200,245,434,831,243,363,763,177,396,769,149,777,337,828,420,75,502,867,790,700,753,654,382,63,241,422,773,206,880,729,147,388,210,389,720,341,8,43,635,646,163,109,849,190,622,564,469,29,385,40,703,166,295,750,1,586,404,319,649,478,863,585,98,218,169,413,601,809,727,697,716,704,830,861,423,461,357,248,12,207,356,298,641,593,843,134,30,199,539,816,283,194,842,72,424,712,805,837,37,567,645,229,515,438,182,432,5,65,45,560,760,875,474,581,766,353,103,56,445,678,568,642,407,160,213,198,427,96,178,545,59,90,721,599,536,626,17,571,732,544,822,482,21,223,792,486,779,785,142,793,448,692,262,498,801,864,102,344,183,713,217,706,717,123,484,569,606,701,325,92,54,715,621,88,853,676,513,78,524,878,623,115,113,451,165,730,124,84,152,7,34,660,209,79,832,731,804,857,509,416,339,77,617,653,375,138,491,214,528,270,644,659,855,347,39,130,301,410,112,296,747,255,205,589,157,226,97,68,38,24,885,89,129,786,359,817,231,355,823,426,611,609,526,472,118,336,605,13,517,506,106,47,276,824,156,596,35,745,188,783,752,447,806,819,556,390,602,840,51,802,640,379,597,768,755,180,141,306,780,834,587,874,743,111,328,873,719,675,869,430,114,572,797,216,208,566,871,189,520,228,395,6,475,309,584,848,122,449,521,412,314,850,366,632,145,161,629,71,144,553,510,140,495,815,734,663,128,332,718,266,258,322,775,452,411,365,202,781,371,463,251,580,523,610,464,485,117,444,670,317,870,384,791,820,280,378,91,551,796,61,222,290,497,429,682,531,643,275,468,577,833,274,446,323,19,634,120,257,756,453,689,742,542,688,125,525,465,268,212,127,487,174,265,821,399,83,338,450,470,289,3,16,691,630,94,665,349,11,547,232,473,728,146,440,859,196,41,693,252,827,757,293,406,826,425,554,508,64,711,22,374,394,46,370,702,882,492,99,197,100,277,574,333,69,836,808,479,42,101,151,455,380,297,767,583,162,287,522,575,776,680,31,764,330,345,414,346,573,167,625,854,342,369,50,516,132,303,175,104,433,591,211,26,95,184,93,677,307,23,364,598,462,249,335,666,483,615,652,762,439,725,557,311,839,318,310,235,741,683,694,488,631,866,386,18,204,607,835,402,552,637,565,803,624,55,696,292,759,614,187,876,171,436,354,799,392,305,627,657,193,326,471,812,794,489,272,774,294,603,656,788,230,247,594,664,186
1: 555,14,594,519,881,669,108,512,381,590,442,782,27,532,362,503,686,264,282,810,154,15,155,558,329,582,201,722,467,829,761,373,534,477,53,648,636,334,770,133,818,239,291,651,518,172,327,466,549,562,376,259,168,256,862,135,195,320,300,655,87,48,673,541,76,707,877,476,846,358,279,543,316,391,302,137,58,841,851,616,400,158,299,500,387,647,81,538,811,772,858,225,633,224,418,107,684,499,437,548,284,352,638,62,181,511,377,710,360,740,884,613,800,281,714,66,771,393,784,28,443,739,639,687,458,576,179,267,350,44,860,798,372,661,2,679,244,737,533,738,529,150,872,540,49,215,9,242,246,699,735,139,746,726,131,514,765,672,361,662,405,595,240,667,36,192,628,709,234,233,570,868,708,170,57,409,550,383,807,685,164,496,505,480,844,733,4,368,121,417,70,600,457,33,838,493,398,25,397,668,620,10,203,723,546,561,367,563,454,507,254,408,530,813,67,110,535,143,456,579,754,618,671,789,852,105,604,227,724,435,126,273,271,148,60,313,778,278,185,795,340,758,315,421,312,304,82,324,20,419,219,847,658,253,431,220,260,85,490,592,690,856,825,674,650,698,428,681,415,80,159,263,559,787,173,285,578,286,865,736,459,695,751,619,744,176,403,401,153,348,588,481,441,86,308,237,527,238,883,236,494,116,705,32,845,537,351,749,612,748,501,504,269,814,136,250,288,191,608,460,245,261,119,73,177,321,879,221,343,200,434,74,331,763,363,420,769,243,831,777,149,828,396,337,502,790,867,700,63,75,382,773,422,241,880,654,729,388,389,206,210,753,720,147,341,43,8,646,635,163,190,849,413,109,29,564,469,385,166,622,295,40,750,863,319,1,586,404,809,585,649,98,169,697,727,716,601,478,703,218,567,704,830,423,461,248,357,861,356,298,134,12,641,207,593,843,539,30,816,283,842,194,72,805,199,424,837,65,712,229,515,645,182,5,432,37,760,438,45,474,353,875,103,568,581,766,445,560,678,56,160,198,642,407,213,178,427,545,59,721,96,90,599,17,626,536,571,544,732,486,482,21,223,792,822,779,793,785,262,448,692,498,864,801,717,344,102,713,142,183,706,123,484,569,54,606,701,325,217,92,853,621,715,78,88,513,676,524,878,623,115,113,730,165,451,124,84,152,34,7,209,660,832,79,731,804,77,339,416,509,617,857,653,375,491,214,138,528,644,659,270,855,130,347,39,301,410,112,296,747,255,205,589,226,97,157,68,38,24,885,355,89,129,817,786,823,611,426,231,526,609,13,359,336,472,605,506,517,47,106,118,276,202,596,824,35,745,188,783,752,556,447,806,390,840,640,768,51,379,819,755,602,180,141,802,306,834,780,597,743,874,587,111,869,328,719,873,675,114,430,797,572,216,208,566,520,871,189,309,6,228,848,475,584,395,122,449,314,521,412,161,632,850,366,145,629,144,71,553,140,510,495,815,663,332,734,718,266,322,258,128,411,775,452,365,156,781,371,523,463,251,580,610,464,280,485,670,444,870,384,317,791,820,117,275,91,290,643,551,378,682,323,429,796,222,61,497,577,468,833,531,19,274,446,634,120,756,742,487,125,542,257,689,465,688,268,174,525,212,453,265,127,399,821,83,450,338,470,289,16,349,691,630,440,232,3,547,665,146,473,728,11,94,859,252,196,827,693,41,757,293,406,826,554,508,425,711,64,22,374,46,370,394,702,882,492,277,479,197,99,574,333,69,836,808,100,42,101,162,455,287,151,583,380,297,767,776,522,575,31,680,764,330,346,414,345,167,573,342,854,625,516,369,50,175,132,104,303,433,591,26,211,95,184,93,677,307,364,23,598,249,462,483,666,335,652,615,762,439,725,311,557,839,310,318,235,741,683,694,488,631,386,866,204,18,607,835,402,657,803,565,637,55,624,696,614,759,292,187,876,171,354,799,436,392,627,305,552,471,193,326,794,812,272,489,774,603,294,788,656,230,247,664,186,52
1: 555,14,247,881,594,108,512,519,381,669,442,590,27,532,782,362,503,686,264,282,154,15,810,155,558,329,582,201,467,722,829,534,761,373,477,53,648,291,636,770,133,818,334,651,239,518,172,549,327,466,562,259,376,168,256,862,135,195,320,87,48,655,300,673,541,76,707,846,877,476,358,316,279,543,391,137,302,841,58,158,387,851,616,299,400,500,647,81,538,858,772,811,225,224,633,437,418,107,548,284,499,684,352,62,511,638,800,181,710,740,281,360,377,884,613,771,66,714,28,784,393,739,150,687,458,443,576,267,860,639,44,350,179,372,661,244,679,737,2,738,798,529,533,872,540,9,49,242,215,735,699,246,726,131,514,746,139,765,662,361,672,405,595,240,709,667,628,192,570,36,234,233,868,708,170,409,550,383,807,685,57,496,505,480,844,164,417,368,733,70,4,121,600,33,838,457,493,398,25,397,668,620,10,203,546,561,723,454,563,367,408,254,507,67,813,535,530,110,754,456,143,579,618,789,852,105,604,435,795,126,671,273,227,271,60,724,313,148,778,278,490,312,315,421,340,304,185,219,20,419,847,82,324,431,658,253,220,260,758,85,592,825,674,681,428,856,690,698,650,80,415,263,159,578,286,559,787,285,173,736,865,751,619,459,744,695,176,153,401,588,403,348,481,86,308,237,238,527,441,883,494,236,116,705,845,32,537,351,749,612,748,501,269,504,814,136,608,191,460,288,250,245,119,73,261,177,879,321,763,434,221,343,200,74,420,331,363,769,831,243,777,828,396,337,149,790,867,63,773,382,700,75,502,241,422,654,880,729,206,388,210,389,753,147,720,341,8,646,635,190,163,413,109,849,29,564,385,469,567,295,43,40,166,863,703,750,1,586,319,809,404,585,98,716,649,169,601,622,727,478,218,704,423,248,830,357,134,298,697,861,12,641,356,207,461,30,593,843,539,816,199,842,194,283,805,72,424,837,65,515,645,182,229,5,37,712,432,760,438,45,474,875,581,103,766,560,445,568,678,160,56,198,353,213,642,178,407,427,545,721,59,90,599,96,17,626,536,571,732,544,486,482,223,21,822,792,779,793,262,785,448,692,498,864,801,717,344,713,142,706,183,102,123,484,569,54,606,701,217,325,853,92,621,715,88,78,676,513,524,113,623,878,115,730,451,165,124,84,152,34,7,209,660,832,79,731,804,77,416,339,509,617,857,653,375,138,214,491,528,644,659,270,855,130,347,39,301,112,296,410,747,255,205,589,97,226,157,68,38,24,89,885,355,817,786,426,129,823,611,526,359,609,517,336,13,231,605,472,506,106,47,118,276,202,596,824,35,745,188,783,752,556,447,806,390,840,640,768,51,379,819,755,602,834,180,141,802,306,780,597,743,874,587,111,869,328,566,873,114,675,430,572,797,216,208,719,520,871,189,6,848,309,228,584,475,449,122,395,314,521,412,632,161,850,366,145,629,144,71,718,553,510,495,815,663,332,734,140,266,258,322,128,411,452,775,365,156,781,371,610,523,463,580,251,464,485,280,670,444,870,384,317,117,820,791,275,91,551,290,643,796,378,323,61,429,222,19,682,497,468,577,531,833,274,634,446,120,756,487,742,257,542,125,465,689,268,688,174,453,525,212,265,127,399,821,83,450,338,470,289,16,349,691,440,3,146,547,232,630,665,473,728,11,94,859,252,196,827,41,693,757,293,406,826,554,508,425,711,64,22,374,46,370,394,702,882,492,197,479,574,99,277,333,69,836,808,100,42,162,101,455,287,380,583,151,297,767,522,776,575,764,31,330,680,346,345,414,167,573,342,854,625,516,369,50,132,175,104,303,591,26,184,211,433,93,677,307,95,23,364,598,462,249,483,335,666,652,615,762,439,311,725,557,839,310,318,235,741,683,694,488,631,866,386,204,607,18,835,402,657,803,565,637,55,696,624,292,187,759,614,876,171,354,799,436,392,627,305,552,471,794,326,193,272,812,774,489,603,294,788,230,656,186,664,52
1: 555,14,656,52,247,881,594,108,512,519,381,669,442,590,27,532,782,362,503,686,264,282,154,155,15,810,558,582,329,201,291,722,467,829,373,761,648,53,477,534,636,770,133,818,239,651,518,334,549,172,376,466,168,562,327,259,256,135,195,862,87,320,655,48,673,300,76,707,541,846,476,877,358,543,316,279,137,391,302,841,387,158,58,851,772,616,400,81,500,538,647,299,858,225,811,437,633,224,548,107,284,418,499,684,352,62,377,511,638,181,281,740,710,150,884,360,613,771,714,66,784,739,800,28,687,458,443,393,576,267,44,639,860,350,244,661,179,372,2,679,738,798,533,737,529,9,872,540,49,215,242,735,726,131,699,514,139,746,246,765,662,672,361,405,595,667,709,628,240,192,36,708,234,570,233,868,170,807,550,409,383,685,164,496,480,505,57,368,733,844,417,121,70,33,838,600,4,457,493,398,25,668,397,620,10,203,67,546,723,454,367,408,563,254,507,561,535,813,530,110,754,456,579,618,143,789,852,227,435,795,671,604,273,105,271,313,148,724,126,490,778,60,278,312,315,340,304,421,185,219,419,20,324,847,431,658,82,253,220,758,260,592,85,825,856,681,698,428,674,690,80,415,263,159,559,578,286,650,285,787,736,173,865,619,751,459,695,744,401,153,588,176,403,348,308,86,481,237,883,238,441,527,494,236,116,705,845,32,351,749,537,748,612,269,814,504,136,501,608,460,288,73,250,245,119,261,177,879,191,321,221,200,343,74,331,763,434,769,363,831,243,828,420,777,337,149,790,867,502,700,63,396,773,75,422,567,654,241,382,880,389,210,206,753,388,147,8,720,341,646,635,163,190,703,849,385,564,29,729,469,109,40,295,413,166,750,863,585,1,586,319,43,809,404,98,716,169,649,601,727,478,218,704,622,423,248,357,830,298,697,134,12,861,641,593,207,461,356,539,843,30,816,842,199,194,72,805,424,283,837,65,645,182,5,37,438,760,432,229,515,712,45,875,474,445,581,560,766,103,568,678,160,56,353,198,213,642,178,407,427,545,721,59,90,599,17,626,96,571,536,544,486,482,732,21,792,822,223,262,142,779,793,785,448,692,498,864,717,801,344,713,706,102,183,123,569,484,54,606,325,623,701,92,853,88,715,621,78,113,513,524,676,217,878,115,730,451,165,124,84,34,152,7,209,660,79,832,731,804,77,644,339,509,857,617,653,375,214,491,528,416,138,659,270,855,347,130,39,301,112,296,410,747,255,205,589,97,226,157,68,38,24,885,89,817,355,786,426,129,823,611,526,517,359,13,336,605,609,472,231,118,506,106,202,596,47,276,824,35,745,188,783,556,752,447,806,390,640,840,768,834,819,51,379,755,602,180,141,306,802,597,874,780,743,587,111,869,328,566,675,873,114,430,572,797,216,208,719,520,871,189,6,848,228,309,475,584,449,122,395,521,314,632,412,850,161,366,145,71,629,718,144,553,510,495,815,663,332,734,140,266,128,322,258,411,452,775,365,156,781,371,610,463,251,580,523,464,280,485,670,444,384,870,317,117,820,791,275,551,378,796,19,323,91,61,290,643,429,222,682,497,577,531,468,833,274,446,634,120,756,487,257,742,542,465,689,125,268,688,174,453,525,212,265,127,399,821,450,83,470,338,289,146,16,349,440,691,3,547,232,630,665,728,11,473,94,859,252,196,827,41,293,693,757,406,826,554,425,508,64,711,22,374,370,46,394,702,882,197,100,574,492,99,277,333,69,836,808,479,162,42,101,287,455,583,151,297,380,767,522,776,575,764,31,680,330,345,346,167,414,342,625,573,854,369,50,132,303,104,175,516,26,591,211,95,184,93,677,307,433,364,598,23,462,249,335,483,666,652,615,439,762,311,725,557,310,318,839,235,741,683,694,488,631,866,386,204,607,18,835,803,565,657,402,637,624,696,55,614,187,759,292,876,171,354,436,799,392,627,305,552,471,326,794,272,193,774,812,603,489,294,788,230,664,186
1: 555,14,52,247,881,594,108,519,512,381,669,442,590,532,782,27,362,686,503,264,282,155,154,15,810,582,558,291,329,201,722,648,829,373,53,761,477,467,636,770,818,133,534,239,651,334,518,549,172,466,376,87,562,259,327,256,135,320,195,862,168,300,655,673,48,76,846,707,476,541,877,358,543,316,391,137,279,387,841,302,158,58,772,616,851,400,81,500,647,299,538,107,858,437,225,811,224,548,633,284,418,499,684,62,377,352,511,181,281,638,740,884,800,360,710,771,613,687,714,28,739,639,66,784,458,443,393,576,860,150,267,44,2,244,350,661,179,679,798,372,738,533,529,872,737,9,540,49,215,242,735,131,726,514,746,765,139,699,246,662,672,361,667,595,405,709,240,164,192,708,36,234,868,570,233,170,807,685,409,628,383,550,496,368,57,505,480,733,844,70,121,33,838,417,600,457,4,493,398,561,25,397,10,620,203,668,546,454,723,408,563,254,67,367,507,535,530,813,110,754,490,789,618,456,143,852,579,227,435,795,778,273,604,312,105,148,313,671,60,126,724,271,278,340,315,185,421,304,758,324,20,847,219,431,658,82,253,419,260,220,592,85,681,428,674,856,825,80,698,690,415,650,159,578,263,559,285,787,173,736,286,865,751,695,459,744,401,176,619,153,403,308,348,481,86,588,883,527,494,238,441,236,237,116,705,32,351,537,749,748,845,269,612,504,814,119,608,460,288,136,250,73,501,245,879,261,177,191,321,200,221,331,74,343,434,763,769,363,831,243,828,420,777,337,149,567,790,867,75,700,63,773,502,422,210,396,241,654,206,880,753,147,388,382,389,720,8,341,163,635,646,703,190,385,849,564,29,469,109,40,295,729,166,750,863,1,585,809,413,319,586,716,404,98,169,649,43,601,478,727,218,704,423,357,248,298,830,134,861,12,641,622,207,593,356,539,843,461,30,842,697,816,194,424,805,72,199,837,645,65,283,438,182,5,432,760,37,229,712,45,474,445,581,515,875,103,766,678,568,160,560,56,198,213,642,178,353,427,545,721,407,59,90,599,17,96,626,571,536,486,544,732,482,21,792,262,223,822,142,779,793,785,448,692,498,717,864,801,344,713,706,183,102,123,569,484,54,606,325,623,701,853,92,88,715,621,78,113,513,524,676,217,878,115,451,730,165,124,84,34,152,209,7,660,79,832,731,804,644,77,339,509,617,857,653,375,214,491,138,416,528,659,270,855,347,130,39,301,112,296,410,747,255,205,589,97,226,157,68,38,24,786,817,885,89,426,355,129,823,611,517,526,359,336,13,118,609,472,231,605,106,506,202,596,47,276,824,35,745,783,188,752,556,447,806,390,640,840,768,819,834,379,51,755,602,180,141,306,802,597,874,780,743,587,111,328,566,869,114,675,873,430,572,797,216,208,719,520,871,189,6,449,228,848,309,475,584,122,521,395,314,632,850,412,161,366,71,145,144,718,629,553,510,495,815,663,332,266,140,734,128,411,322,452,775,258,365,156,781,371,610,463,580,251,523,280,464,485,444,670,19,384,117,870,317,820,791,275,61,796,378,323,551,91,290,643,222,429,682,497,577,531,468,833,274,446,634,120,756,487,742,257,542,465,689,125,688,268,453,174,525,212,265,127,399,821,450,83,338,470,289,146,349,16,440,691,3,547,630,232,665,728,11,473,94,859,252,196,827,41,293,693,757,406,826,554,508,425,64,711,22,374,370,46,702,394,882,197,100,574,99,492,277,333,69,836,808,479,162,42,101,287,583,455,380,297,151,767,522,776,575,764,31,680,330,345,346,414,342,625,854,573,167,369,50,132,303,175,104,516,26,591,211,184,95,93,307,677,433,598,364,23,462,249,335,666,483,652,615,439,762,311,725,557,310,318,839,235,741,683,694,488,631,866,386,204,607,18,835,803,565,657,402,637,624,696,55,187,292,759,614,876,171,354,436,799,627,392,471,552,326,305,272,794,193,774,489,812,603,294,788,230,656,664,186
1: 555,14,656,52,247,881,594,108,669,381,512,519,442,590,782,532,27,503,686,362,264,282,155,154,15,810,558,582,329,201,291,467,648,829,373,477,722,53,761,636,133,534,770,818,239,651,334,518,376,172,466,562,168,549,256,259,327,862,135,195,87,320,300,673,48,655,76,846,387,707,279,541,358,316,476,137,877,543,391,841,158,302,772,616,58,107,851,811,81,858,299,400,647,500,538,224,548,225,633,418,437,284,150,499,62,352,884,684,181,638,800,511,360,740,281,687,771,784,710,739,639,714,66,443,613,28,393,44,458,377,860,244,267,576,2,350,661,179,533,372,679,540,738,529,737,798,9,872,49,215,242,246,726,765,746,131,735,139,514,699,662,672,361,595,164,667,240,405,570,192,708,709,170,234,233,868,36,628,807,409,496,685,550,57,383,368,505,480,70,844,121,33,668,733,417,600,4,457,493,25,561,397,398,838,620,546,10,203,367,454,563,67,723,254,408,530,535,507,813,618,579,490,143,110,795,435,754,852,789,671,227,271,273,431,456,60,312,724,313,185,340,778,604,278,105,847,126,304,324,421,219,20,148,315,253,658,220,260,82,592,419,856,698,825,285,85,681,263,690,674,578,758,80,159,415,559,459,173,787,428,650,736,865,744,401,176,286,695,751,153,403,348,308,619,86,494,481,527,883,238,588,567,236,441,537,116,705,32,351,749,612,748,608,269,237,504,814,460,288,245,119,136,73,250,261,879,501,177,321,845,74,331,200,343,221,763,363,828,191,769,777,831,790,63,243,337,149,773,700,502,75,434,422,867,210,241,654,147,388,720,420,389,753,8,880,206,341,703,163,646,635,190,396,385,29,849,564,469,295,382,40,809,109,166,586,413,585,750,863,319,404,1,169,729,716,98,727,601,478,218,649,704,423,298,43,357,134,861,248,697,830,12,356,593,207,641,461,539,843,30,622,842,816,424,283,194,805,65,199,760,645,438,72,837,37,712,182,5,229,432,445,515,474,45,103,581,766,875,678,160,568,642,213,353,56,198,178,721,427,545,59,407,90,599,560,17,626,96,571,262,486,732,544,536,482,21,792,223,822,142,779,793,785,692,448,864,498,717,801,344,713,569,706,183,102,123,484,54,853,606,623,701,92,325,88,113,621,78,715,513,524,217,676,878,115,730,451,165,124,84,34,209,152,7,660,79,832,731,804,644,77,339,617,653,509,857,214,491,528,296,375,138,659,270,130,347,855,301,416,112,39,410,747,589,97,255,205,226,157,786,38,68,355,817,24,885,89,426,517,129,611,823,13,526,336,118,472,359,609,106,506,231,605,202,276,47,824,35,188,745,783,556,596,447,752,806,640,390,840,768,819,379,755,834,51,602,180,141,306,802,597,743,780,874,587,111,869,566,328,114,675,430,572,873,797,216,208,719,520,189,871,6,848,449,228,475,309,584,122,314,521,140,395,412,850,161,366,553,71,629,632,144,145,510,495,815,332,718,663,734,266,411,322,128,452,365,156,781,775,258,371,610,463,580,523,251,280,464,19,670,485,444,317,487,870,384,275,820,791,61,643,378,117,290,91,796,551,682,429,577,222,497,323,468,833,274,634,446,756,531,742,542,120,257,125,465,689,174,453,268,688,265,212,525,399,127,821,450,83,338,470,146,289,349,440,691,232,16,547,630,3,665,11,728,473,94,859,252,196,827,293,41,406,826,693,757,554,508,425,711,64,22,374,370,46,702,394,197,583,882,574,492,277,99,333,69,808,100,162,836,42,455,287,479,101,151,380,297,776,522,31,767,764,575,680,330,345,346,414,342,854,167,625,573,50,175,369,303,104,132,516,26,591,211,95,184,93,307,677,249,598,364,23,462,433,666,335,483,652,311,439,615,762,725,310,557,318,839,235,741,683,694,631,488,866,386,204,607,18,803,835,565,657,402,637,696,55,624,187,614,759,292,171,627,876,799,354,436,392,471,552,326,305,272,794,774,193,489,603,788,812,230,664,294,186
1: 555,14,656,52,247,881,594,108,669,381,512,519,442,590,532,686,27,782,503,362,264,282,155,154,15,810,291,558,329,201,582,467,648,829,722,373,53,477,761,636,534,770,818,133,239,334,518,651,376,172,466,168,562,549,256,327,862,87,259,135,300,673,320,195,387,48,846,655,76,707,279,543,137,476,358,841,316,391,541,877,158,772,302,58,616,851,107,811,299,81,400,858,647,500,548,538,225,224,633,284,150,437,418,499,62,352,684,639,884,638,511,281,181,360,771,740,687,739,800,784,714,710,66,443,613,28,458,860,377,393,44,267,2,576,244,350,661,179,533,372,679,540,529,737,738,9,49,872,215,798,246,242,726,131,746,735,765,662,139,699,672,361,595,514,667,240,405,192,570,709,164,708,233,36,170,234,868,807,409,685,496,550,628,368,121,383,505,480,70,417,33,844,733,600,4,457,493,57,25,397,398,668,367,620,10,546,454,563,838,203,723,254,408,507,535,530,813,618,67,579,143,795,110,852,754,435,561,789,227,271,778,431,60,273,313,490,456,312,604,724,340,185,278,105,126,671,847,421,304,148,219,324,20,315,253,658,220,260,82,856,419,592,698,825,681,285,80,263,85,578,758,567,690,674,159,415,459,787,428,559,173,650,736,865,401,153,176,695,751,744,403,286,308,348,86,494,481,883,527,619,238,236,441,116,588,537,705,351,32,748,749,612,608,504,237,269,814,245,460,288,119,136,73,250,501,879,261,177,845,321,74,331,200,221,828,343,363,763,769,777,63,191,790,831,337,243,149,700,773,434,502,422,75,867,210,654,241,703,388,8,753,389,147,720,880,206,420,163,341,646,635,190,396,849,29,564,385,809,413,469,295,40,166,109,382,585,586,750,863,319,404,1,729,169,98,716,727,601,478,218,649,704,298,43,423,357,134,861,697,356,248,12,830,207,461,593,641,539,843,622,842,30,816,283,194,424,805,65,199,760,72,645,438,712,837,182,5,229,445,432,474,37,103,45,581,766,515,875,678,568,160,642,213,353,56,198,178,721,407,427,545,59,560,90,599,17,626,96,571,262,486,536,732,544,482,21,822,792,223,142,793,779,785,692,448,864,717,498,801,344,713,706,569,183,102,123,484,54,853,623,701,606,88,92,325,113,621,78,715,513,217,524,676,115,878,730,451,165,124,34,84,152,209,7,660,79,832,731,644,804,77,339,617,653,509,491,857,214,528,296,375,138,659,270,130,347,855,112,416,301,39,410,747,97,589,255,205,226,157,786,38,68,355,817,885,89,24,426,517,129,13,611,823,526,336,118,472,609,231,106,506,276,47,202,596,359,605,824,35,745,188,783,556,447,752,806,640,840,390,768,819,379,834,755,51,602,141,180,306,597,802,743,874,780,587,111,328,566,869,114,430,675,572,873,797,216,208,719,520,189,871,6,475,848,449,228,584,122,309,521,314,140,395,412,850,161,553,366,71,632,144,629,510,145,495,815,718,332,663,266,734,411,322,128,365,775,452,156,781,258,371,610,463,523,580,251,280,19,464,670,485,384,317,487,870,444,275,820,61,791,378,117,643,796,290,91,429,682,577,222,497,323,468,551,833,274,446,634,531,756,542,120,742,257,125,465,689,174,453,688,268,265,212,525,399,127,450,821,83,146,338,470,289,349,440,691,232,16,547,630,3,11,665,728,94,473,859,252,196,827,293,693,406,826,757,41,554,508,425,711,64,374,22,370,702,46,394,197,764,882,574,492,99,277,333,836,69,100,808,162,42,455,287,583,101,151,380,297,776,31,522,767,575,680,330,345,346,479,342,414,854,573,625,167,50,369,175,132,104,516,303,26,591,95,211,184,307,93,249,677,598,364,23,433,462,335,666,483,652,311,439,615,762,725,310,557,318,839,235,657,631,694,683,488,866,204,386,607,18,803,835,565,741,402,696,637,55,624,187,759,614,171,292,799,876,627,354,436,552,392,471,326,305,272,794,774,193,489,603,788,812,230,664,186,294
1: 555,14,656,52,247,881,594,108,669,512,381,519,442,590,686,532,27,782,503,362,264,282,155,154,15,810,558,291,329,201,582,648,467,829,722,373,761,53,477,636,770,534,818,133,239,334,376,651,518,172,168,466,549,562,256,300,387,327,87,862,259,135,320,195,673,48,655,76,707,316,846,358,279,476,877,841,543,541,391,137,158,302,58,616,851,772,107,811,400,81,858,500,647,299,538,225,224,284,633,548,437,418,499,62,684,352,150,884,638,181,281,360,511,784,739,639,771,740,714,458,687,710,66,28,613,860,800,443,267,44,393,2,244,576,377,350,661,179,372,533,679,540,737,529,738,9,872,49,242,215,246,726,131,746,798,765,699,735,139,672,662,595,361,667,240,405,192,570,514,708,709,807,233,36,170,868,164,234,409,685,496,550,368,383,121,505,70,417,33,57,480,844,733,600,4,457,628,493,25,398,397,668,367,620,546,10,563,838,254,203,454,408,723,535,507,813,530,67,618,110,579,754,143,795,561,435,852,227,778,789,271,60,273,431,490,456,313,312,185,724,604,340,278,105,126,671,421,219,148,304,847,324,253,315,20,567,220,658,82,260,856,592,825,85,681,285,578,758,80,698,674,263,690,415,159,459,419,559,173,787,650,736,865,428,401,744,153,751,176,695,403,286,308,348,494,481,86,883,588,527,238,236,441,619,705,351,116,537,32,749,748,608,237,612,504,269,814,119,460,288,245,136,73,879,250,261,501,321,177,74,331,200,828,845,221,343,763,363,769,777,703,63,337,831,790,243,149,773,700,191,502,422,75,210,867,654,241,434,388,8,753,720,880,389,147,420,341,206,163,646,382,190,635,29,849,385,564,295,396,809,469,109,40,166,413,585,586,750,863,319,729,404,1,169,98,727,601,716,478,649,704,298,43,218,423,357,134,697,356,830,248,861,12,207,461,593,641,539,816,622,843,842,30,194,424,805,283,65,760,72,645,199,712,438,837,182,5,432,37,229,445,474,766,103,515,581,875,45,160,568,678,353,213,642,56,198,178,721,427,545,407,59,90,560,599,96,17,626,571,262,536,486,732,544,482,793,21,792,223,142,822,779,785,692,448,717,864,498,801,706,713,344,569,183,123,102,484,54,853,623,701,606,88,92,113,325,715,621,513,78,217,524,676,115,878,730,451,165,124,34,84,209,152,7,660,79,832,731,644,804,77,339,617,653,509,491,528,214,296,857,375,138,659,270,130,855,347,112,416,301,39,410,747,97,589,255,205,226,157,786,68,38,355,817,24,885,89,426,517,129,13,611,823,526,336,118,472,106,609,231,506,276,47,202,596,605,359,824,35,745,188,783,556,447,752,806,640,840,390,834,819,379,768,755,51,602,141,180,306,597,802,743,780,874,587,111,114,566,869,328,430,675,572,873,216,797,208,719,520,189,871,6,475,228,449,848,309,584,122,632,521,395,314,850,412,161,553,366,140,71,144,629,510,145,495,815,718,332,663,266,734,411,322,128,452,365,156,781,258,775,371,463,610,580,19,523,487,251,464,670,485,384,280,317,444,870,275,820,61,791,378,117,643,796,91,290,429,682,497,577,531,222,468,551,833,274,446,634,323,756,542,257,120,742,465,125,689,174,453,688,268,212,265,525,399,127,450,821,83,146,338,470,289,349,440,691,232,547,16,630,3,665,11,728,94,473,859,252,196,827,293,406,826,757,41,693,554,508,425,711,64,374,22,370,702,46,394,197,882,574,492,277,99,333,836,764,69,162,808,42,455,101,100,287,380,151,297,31,776,522,583,767,575,330,680,345,346,479,414,342,854,167,573,625,50,132,175,104,369,249,303,26,591,184,516,211,307,93,95,677,598,364,433,23,462,335,666,483,652,311,439,615,762,725,310,557,318,235,657,839,694,631,683,488,866,204,386,607,803,18,565,741,835,402,696,637,55,187,624,759,614,171,292,627,354,799,876,436,471,552,392,326,305,272,794,774,489,193,603,788,812,230,664,186,294
1: 555,14,247,52,656,881,594,108,669,381,519,512,442,590,686,532,27,782,503,362,282,264,154,15,155,558,291,329,810,201,582,648,373,829,467,761,53,477,636,722,770,133,818,534,239,376,651,518,172,334,466,256,387,549,562,135,168,300,862,327,259,320,195,87,673,48,655,76,707,846,358,316,841,279,476,877,543,158,137,541,391,58,302,811,772,616,400,851,107,858,81,150,500,538,647,225,224,437,299,684,633,418,284,499,62,548,352,884,181,638,281,360,784,739,639,458,771,511,740,714,687,66,710,377,28,613,44,443,860,244,2,393,267,576,800,350,661,179,372,533,679,540,738,737,529,9,872,242,49,215,246,699,131,798,726,735,746,765,139,662,672,595,361,240,667,405,192,514,570,807,708,233,170,36,709,868,164,234,409,685,496,550,383,121,368,70,505,480,33,57,417,733,844,600,4,838,457,493,25,397,398,668,367,620,546,563,454,203,254,408,723,10,795,813,628,507,535,530,618,852,110,778,579,67,754,435,143,789,227,60,273,561,431,456,271,185,312,313,604,340,278,724,490,105,567,219,126,253,148,304,421,20,847,324,315,220,658,260,671,82,856,592,80,681,285,578,419,825,85,698,674,263,690,159,415,758,559,173,787,650,459,736,428,865,744,401,153,176,695,286,751,308,403,348,883,86,481,588,494,238,527,351,236,619,441,705,116,32,537,608,748,237,749,504,612,269,460,73,288,814,119,245,136,250,879,261,501,321,221,74,331,828,845,343,200,763,177,363,769,703,777,337,63,831,790,243,149,191,773,700,75,422,502,210,867,434,753,241,654,388,8,880,720,389,382,147,206,341,163,420,646,190,635,29,849,809,413,295,564,385,469,40,396,109,166,585,750,586,729,404,319,863,1,169,98,727,43,601,716,478,298,218,704,423,649,357,697,134,356,830,248,861,461,12,207,593,641,622,816,539,843,842,30,194,805,424,65,72,283,760,438,645,712,837,182,199,5,229,432,445,474,766,103,37,581,875,45,160,678,515,213,568,642,56,198,721,560,178,427,545,353,59,90,407,599,96,17,571,626,262,536,486,732,544,793,482,21,792,223,142,822,779,785,692,717,448,864,498,801,713,706,344,569,183,123,102,484,54,853,623,113,701,88,606,92,325,715,621,78,513,217,524,676,115,878,451,730,165,34,124,84,152,209,7,660,79,832,731,644,804,77,339,617,653,509,528,491,857,296,214,375,138,659,270,855,130,347,112,416,301,410,39,747,97,589,255,205,226,786,157,68,38,355,817,24,89,885,517,426,129,611,13,118,526,336,823,472,106,231,609,506,276,47,202,605,359,824,35,745,188,783,596,556,447,752,806,640,840,834,379,819,390,768,141,755,51,602,306,180,597,780,874,802,743,587,111,114,566,328,869,430,675,572,873,216,719,797,208,520,189,871,6,475,449,228,848,584,632,309,395,521,122,314,412,850,71,140,161,366,553,144,510,629,145,495,815,718,332,663,266,734,411,452,365,322,128,156,781,775,258,371,463,19,580,610,523,487,251,464,670,485,280,384,317,444,870,275,61,820,791,117,378,643,290,91,796,429,682,222,497,531,577,468,551,833,274,446,634,323,542,756,257,742,120,465,125,174,689,453,688,268,265,212,525,399,127,450,821,83,146,338,470,289,349,440,691,547,3,232,16,630,665,11,94,728,473,252,859,196,827,293,406,826,41,757,693,554,508,425,711,374,64,22,702,370,394,46,197,882,574,492,277,99,69,333,836,764,162,808,42,455,100,287,101,151,380,297,31,776,522,583,767,575,330,680,345,346,479,342,414,854,573,167,625,50,132,369,175,249,104,303,26,591,211,516,184,307,93,95,677,598,364,433,23,462,335,666,483,652,311,439,615,762,725,310,557,318,235,657,631,839,694,683,488,866,204,386,607,803,18,565,741,835,402,696,637,624,187,614,759,55,171,292,627,354,799,876,436,471,552,392,326,272,305,794,774,489,193,603,788,812,230,664,186,294
1: 555,14,52,656,247,881,108,594,512,669,381,442,519,532,590,27,503,686,362,782,282,264,154,15,558,155,291,329,810,201,582,648,829,467,373,761,53,477,636,722,770,133,818,334,239,376,651,518,534,172,466,387,256,549,562,168,135,862,300,327,259,195,87,320,673,655,48,76,846,707,316,841,279,358,877,476,137,543,158,541,391,58,302,772,107,616,811,851,400,81,150,500,858,538,647,225,684,224,437,633,418,284,62,499,639,352,884,181,360,638,784,739,299,281,66,740,511,458,771,714,710,28,548,687,613,44,860,443,267,244,393,2,377,576,350,661,179,372,800,533,679,738,540,737,242,529,9,872,49,215,699,246,798,131,726,746,139,765,662,735,672,595,667,361,240,405,807,192,570,708,233,36,868,514,709,170,234,409,685,383,496,550,70,368,480,33,164,121,417,505,733,844,600,4,57,493,457,398,25,397,838,367,620,628,546,203,454,563,408,254,795,535,668,10,813,723,507,530,618,852,67,778,110,143,754,435,579,789,227,185,490,273,431,60,456,271,567,312,604,340,278,561,724,313,105,253,219,421,304,148,126,20,324,315,847,220,260,671,856,658,82,592,80,681,285,578,419,85,825,698,674,263,159,690,758,415,173,559,787,459,650,736,428,865,176,744,401,695,286,308,751,153,403,348,883,86,588,481,494,238,527,351,236,619,537,705,441,32,116,608,749,748,504,612,237,269,460,73,119,288,245,814,136,250,879,261,321,763,828,703,331,221,343,200,74,501,177,363,769,777,63,831,773,845,337,243,790,149,700,422,502,75,191,753,210,241,867,654,8,388,880,434,206,389,147,720,341,413,163,646,190,635,382,29,809,385,849,295,564,420,469,40,166,109,585,750,396,586,404,319,863,1,169,98,729,727,716,601,478,298,218,704,423,649,43,357,134,248,830,697,861,207,356,12,593,461,641,816,539,843,842,622,30,194,424,805,65,283,72,438,760,645,837,432,199,712,5,229,182,445,474,103,766,37,581,875,45,160,678,515,568,213,198,56,642,721,353,178,427,545,560,59,407,90,599,96,571,17,262,626,536,486,732,544,793,482,792,21,223,142,822,779,785,692,448,717,864,498,801,713,706,344,569,183,123,102,484,54,623,853,113,606,701,88,92,325,715,78,513,34,524,621,676,115,878,451,730,165,217,124,84,209,152,7,660,79,731,832,644,804,339,77,617,509,653,528,491,375,296,857,214,138,270,659,855,130,347,112,416,301,410,39,747,97,589,255,205,226,786,157,68,38,355,817,89,517,24,885,426,611,118,129,13,336,823,526,472,106,231,609,605,506,276,202,47,359,824,35,745,188,783,596,556,447,752,806,640,840,379,819,834,390,141,768,755,51,602,180,306,597,780,874,802,743,587,111,566,114,328,430,869,675,572,873,797,719,216,208,520,871,189,6,475,449,228,584,848,632,395,309,122,521,314,850,412,71,718,553,161,366,144,510,629,145,495,815,140,663,332,266,411,734,452,258,365,775,156,781,322,128,371,19,463,523,580,487,610,251,670,464,485,280,384,61,444,317,870,275,820,796,117,791,290,643,378,91,429,222,682,497,531,577,468,551,833,274,446,323,634,542,257,756,742,120,465,125,688,689,453,174,268,265,525,212,399,127,450,821,146,83,338,470,289,349,440,691,547,3,630,232,16,665,11,94,728,473,252,859,196,827,293,406,826,41,757,693,554,508,425,711,374,64,22,702,370,394,46,882,197,574,492,99,277,69,836,764,333,162,808,42,455,100,287,380,151,101,297,31,776,583,522,767,575,330,680,345,346,479,342,414,854,625,249,573,50,132,369,167,175,104,303,26,591,516,211,184,307,95,93,677,598,364,23,335,462,433,666,483,311,652,439,615,762,310,725,318,631,235,741,557,839,694,683,866,204,488,386,607,803,565,18,657,835,402,696,637,624,187,614,759,55,171,292,627,354,799,876,436,471,552,392,326,272,305,794,774,489,603,788,193,230,812,664,186,294
1: 555,14,294,52,247,881,108,656,594,669,381,512,442,519,532,686,503,27,590,362,782,154,282,264,15,558,155,291,329,582,201,810,648,467,373,829,53,761,636,722,133,477,770,168,818,376,239,172,387,549,651,518,466,135,87,256,562,862,327,534,320,259,300,195,673,48,655,334,841,707,279,76,316,158,358,846,476,877,58,543,541,391,616,137,851,302,400,811,81,150,107,647,500,858,284,225,639,538,224,437,684,633,772,418,62,499,352,884,638,181,511,739,548,66,784,860,360,740,281,771,458,687,44,714,28,613,267,443,710,393,299,244,2,661,576,350,179,800,533,372,679,540,377,738,872,737,246,9,242,49,529,215,746,699,726,131,139,765,798,735,662,595,240,361,667,672,405,807,570,708,192,233,709,170,514,868,234,36,409,685,496,550,383,121,33,57,567,480,70,844,417,368,505,733,457,164,493,600,4,838,25,397,398,795,668,620,367,546,203,628,563,454,535,254,408,530,813,723,10,507,435,618,754,579,110,852,143,778,67,227,789,273,60,185,271,340,456,490,304,724,278,431,604,312,148,421,313,561,105,219,324,20,253,847,315,260,671,220,856,126,80,658,681,578,82,592,825,285,698,674,263,85,419,415,401,159,690,173,459,758,650,559,695,787,153,736,865,176,428,308,348,744,403,883,86,751,351,481,286,527,537,238,494,32,236,619,441,608,612,705,116,748,588,504,749,245,237,250,288,814,73,460,269,119,136,879,261,343,828,501,321,763,221,331,74,703,200,777,363,769,63,177,831,773,191,790,243,700,149,337,502,422,845,880,210,241,75,753,867,388,8,434,654,720,389,147,420,206,163,646,341,190,413,295,635,809,29,385,849,396,40,564,469,166,585,382,586,109,750,404,863,169,727,319,1,729,716,98,298,601,478,704,423,43,357,218,134,649,248,461,356,12,593,207,830,861,697,816,539,641,842,622,843,30,194,65,283,805,72,424,645,432,712,760,438,199,229,837,445,5,182,474,515,103,766,875,45,37,160,581,213,568,678,721,353,198,56,642,178,407,427,545,560,59,90,96,599,262,571,626,17,536,486,732,544,793,482,792,223,21,142,822,779,785,864,717,692,448,498,801,713,344,569,183,102,123,484,623,54,113,853,701,88,606,92,325,78,34,621,513,715,524,676,115,878,730,451,165,217,124,84,152,209,7,731,660,79,832,644,804,77,339,617,528,653,509,375,296,491,214,138,857,659,270,855,130,112,416,347,301,410,39,747,97,589,255,205,226,786,157,38,68,355,817,89,517,24,426,885,13,611,823,118,336,129,526,106,472,824,609,506,276,47,202,231,605,359,35,745,188,783,596,556,447,752,640,806,840,819,379,141,834,755,768,390,51,180,597,602,306,874,743,780,587,802,111,566,114,328,869,430,675,572,719,216,208,797,871,520,189,873,6,475,449,228,848,632,584,309,395,122,314,521,553,161,718,412,71,850,366,144,510,706,629,145,495,140,815,332,663,452,19,266,734,411,156,487,322,365,258,775,371,128,463,523,781,580,251,610,670,464,485,280,384,61,870,317,444,275,820,117,791,643,796,290,91,682,429,378,531,222,577,468,833,497,551,274,634,323,756,446,542,465,257,742,120,125,453,174,268,689,688,265,399,525,450,212,127,146,821,83,338,289,440,349,470,547,691,232,630,665,16,94,3,728,11,473,252,859,827,196,406,826,293,757,41,554,508,693,425,711,64,22,370,702,46,374,394,882,197,574,277,492,99,333,764,69,808,836,42,162,455,100,151,287,380,101,776,297,31,583,522,575,767,330,680,346,479,345,342,854,249,414,625,573,132,50,167,175,104,303,26,369,516,591,211,184,307,95,93,677,598,364,462,433,23,335,666,311,483,652,439,615,762,310,318,235,725,657,557,631,694,839,683,866,204,488,386,607,803,565,18,741,835,402,696,637,614,187,624,759,55,171,627,292,354,876,799,436,471,552,272,326,392,305,774,794,489,788,603,664,230,193,186,812
1: 555,14,294,52,247,881,656,108,594,669,381,512,442,686,532,519,27,590,503,362,782,282,264,154,15,558,155,291,329,201,582,810,648,467,373,829,53,761,636,133,770,477,87,818,387,376,722,239,172,549,651,518,135,168,256,466,562,862,327,534,320,300,259,195,673,48,334,279,841,655,707,76,316,158,846,358,877,476,543,58,541,391,851,616,302,400,81,137,107,811,647,858,284,500,150,538,225,437,224,633,639,684,62,418,499,352,181,66,739,772,884,784,638,511,860,740,281,360,771,458,548,714,687,44,28,443,613,710,244,299,393,267,2,576,661,800,179,350,372,533,679,540,242,9,738,246,737,377,872,49,529,215,746,699,765,726,735,131,662,139,667,595,361,240,672,798,405,807,570,708,192,170,709,233,567,868,514,234,36,409,685,121,496,550,33,383,70,480,417,505,844,368,733,57,457,493,4,600,164,398,397,25,795,838,620,367,546,203,668,454,535,563,254,408,813,530,723,143,507,628,618,110,579,852,778,754,10,435,67,227,789,273,60,185,271,490,340,456,604,724,278,312,431,148,304,219,561,421,105,20,313,253,315,324,847,671,856,260,220,126,80,681,658,578,698,82,285,825,592,85,674,419,401,263,415,690,159,758,650,173,459,559,153,787,695,865,736,308,176,348,428,403,744,883,751,86,286,481,351,238,527,537,32,236,588,494,608,441,705,612,116,619,748,749,504,237,245,250,288,460,814,73,119,269,879,136,261,828,703,343,321,221,331,763,200,501,74,777,363,769,177,63,773,831,191,337,790,700,243,149,422,845,880,210,502,241,388,75,434,867,654,753,8,720,389,420,147,206,163,646,341,413,190,635,295,809,382,29,385,40,849,469,564,396,166,585,586,863,109,750,404,169,729,727,1,319,716,98,298,43,601,478,704,423,357,218,134,461,649,248,356,593,12,697,830,861,207,816,641,622,539,842,843,30,194,65,283,805,424,72,645,432,760,199,438,712,229,837,5,182,515,445,474,103,766,875,37,45,160,581,568,678,213,721,353,56,198,642,560,178,427,545,262,59,90,407,599,96,626,571,17,536,486,544,732,482,793,792,142,223,21,864,822,779,785,717,692,448,498,801,713,706,344,569,183,102,123,484,623,113,54,853,88,701,606,92,325,78,34,715,621,513,524,676,115,878,730,451,165,217,124,84,152,209,7,731,660,79,832,644,804,77,339,528,617,509,653,296,375,491,214,138,857,659,270,855,130,416,112,347,301,410,39,97,747,589,255,205,226,786,157,38,68,355,817,517,89,24,426,885,13,611,823,336,129,118,526,106,472,824,609,506,276,202,605,47,231,359,35,745,188,596,783,556,447,752,806,640,840,819,379,141,755,834,768,390,51,597,180,306,602,874,743,780,587,566,802,111,114,328,869,430,675,719,572,216,520,208,797,871,189,873,6,475,449,718,228,848,584,309,122,521,395,314,553,140,412,850,161,71,366,144,510,629,145,632,495,815,19,332,663,452,266,411,734,156,487,775,365,322,258,371,128,463,523,781,580,251,610,670,464,485,280,384,61,870,317,444,275,820,117,791,796,643,290,91,682,429,222,531,378,577,468,497,833,551,634,274,323,756,446,257,542,742,465,120,125,453,174,268,265,689,688,525,450,399,146,212,127,821,338,83,289,440,349,470,691,547,232,630,665,16,3,94,11,728,473,252,859,827,196,826,757,41,293,554,693,508,425,711,64,22,702,370,46,374,394,882,197,277,574,492,99,69,764,333,808,836,42,162,455,100,151,287,380,101,297,776,31,583,575,522,767,330,680,479,346,345,342,854,249,414,625,573,132,167,50,175,104,369,303,26,516,591,211,184,307,406,93,677,95,598,364,23,433,462,335,666,483,652,439,762,310,311,615,318,235,631,657,725,557,694,839,683,866,204,488,607,803,565,386,18,741,402,696,835,637,187,614,759,624,171,627,55,292,354,876,799,471,552,436,272,326,392,305,774,794,489,788,603,664,230,193,186,812
1: 555,14,294,52,881,656,247,108,669,594,442,381,512,686,532,519,782,27,503,362,590,282,154,264,15,558,155,329,291,201,582,810,648,87,373,829,53,761,467,636,133,770,477,387,818,376,722,239,172,549,518,651,135,466,562,256,862,168,320,327,300,259,195,841,48,534,279,673,707,655,76,316,334,158,877,358,476,543,58,541,846,391,851,616,302,400,858,81,811,284,107,647,150,500,538,225,437,224,639,633,684,418,62,499,352,739,137,181,784,884,66,860,638,458,740,772,511,360,44,687,714,281,244,771,548,710,613,267,443,28,393,299,576,661,2,533,350,800,372,179,679,540,242,738,246,699,377,737,9,872,529,49,215,746,765,726,667,735,662,131,139,595,361,240,798,672,567,807,405,570,192,708,170,233,709,36,514,234,868,409,121,496,33,550,685,383,417,480,70,368,164,844,505,733,457,493,4,57,600,398,397,25,795,838,620,367,546,535,668,203,408,563,254,454,530,813,723,778,143,67,852,507,618,110,579,435,10,628,754,60,227,789,273,185,271,490,340,604,456,312,148,724,278,431,105,561,219,304,253,20,315,421,313,324,847,856,80,220,126,260,681,578,671,658,82,285,825,85,592,698,419,674,415,263,401,690,758,159,650,153,459,173,559,695,736,787,865,176,308,428,348,403,744,883,751,286,86,481,351,238,527,537,236,588,32,608,494,441,705,749,619,748,612,116,504,237,245,460,250,288,73,269,119,261,814,136,879,343,828,703,221,321,331,763,200,501,74,363,777,769,177,191,63,831,773,337,790,149,243,700,845,422,210,880,502,753,388,434,241,867,75,654,8,147,413,389,206,720,163,646,382,341,635,190,295,420,809,40,385,29,469,564,396,849,166,585,586,863,750,404,109,43,716,169,727,1,98,319,298,729,601,478,704,423,218,357,461,649,134,248,356,593,697,830,12,861,207,816,539,641,842,843,622,30,194,65,283,805,424,432,645,199,72,837,438,229,182,760,5,515,712,445,474,766,103,37,875,45,160,581,678,721,353,568,213,198,56,642,560,178,427,545,262,59,90,407,96,599,17,571,626,486,544,536,732,482,793,792,142,223,21,822,864,779,717,785,692,448,498,801,713,569,706,344,183,102,123,113,623,484,54,853,88,701,606,92,78,325,34,715,621,513,524,676,115,878,730,451,217,165,124,152,84,209,7,731,660,79,832,296,804,339,77,528,509,644,617,653,375,491,214,138,857,855,659,270,416,112,130,347,301,410,39,97,747,589,255,205,786,226,157,38,355,817,517,68,426,89,24,885,13,611,823,336,129,526,118,106,824,472,609,605,506,202,276,47,231,359,35,745,188,596,783,556,447,806,640,752,819,840,379,834,141,755,768,390,306,597,51,180,602,874,743,780,587,802,566,114,111,328,869,430,675,719,572,216,208,797,520,871,873,189,6,475,449,228,718,584,848,309,521,122,395,314,553,140,412,850,144,161,71,366,510,629,145,632,19,495,815,332,663,452,266,734,411,156,487,365,775,258,322,371,128,463,523,781,580,251,610,670,464,485,280,61,384,870,317,796,444,820,531,275,791,290,643,682,429,117,91,222,378,577,468,497,833,551,323,634,274,756,446,257,542,465,742,120,453,125,174,265,268,689,146,688,450,525,399,212,127,821,338,83,289,440,349,470,691,547,232,665,16,630,11,94,3,728,473,252,859,827,196,757,41,293,554,508,826,693,425,711,64,22,702,370,374,46,394,882,197,574,277,492,99,69,764,333,808,836,42,455,100,162,287,380,151,297,101,776,583,575,31,522,767,330,680,479,346,345,342,249,854,625,414,573,132,167,50,175,104,369,303,516,26,591,184,211,406,307,677,93,95,598,364,462,335,23,666,433,483,439,652,762,310,311,615,318,235,631,657,725,557,694,839,866,607,204,683,386,488,803,565,18,741,402,696,835,614,187,637,759,171,624,627,55,354,292,799,272,471,552,876,326,436,392,305,774,794,489,788,603,186,664,812,230,193
1: 555,14,294,52,881,656,108,247,669,686,381,442,512,594,532,503,27,590,362,782,282,519,154,264,15,558,155,291,329,201,582,648,53,373,829,87,761,636,770,133,387,477,818,810,376,549,239,135,172,467,518,651,466,562,256,722,862,320,327,300,259,195,841,168,48,279,673,655,707,76,534,316,158,877,543,476,358,58,334,541,391,858,846,851,616,400,302,81,811,284,107,150,647,500,538,225,639,418,437,224,633,62,684,499,739,137,352,458,181,66,884,784,860,44,638,772,511,740,360,687,244,771,281,714,548,710,613,443,393,267,299,28,2,661,576,533,350,800,179,372,679,242,540,246,9,699,377,738,872,737,49,567,215,746,529,765,667,735,662,131,726,139,361,595,798,240,672,807,405,570,192,708,170,36,233,514,709,234,868,409,121,33,685,550,496,368,383,480,417,70,57,844,733,505,457,493,4,164,600,397,398,25,838,795,367,620,546,535,668,203,408,563,254,530,454,813,723,67,507,618,852,143,435,778,110,579,10,628,754,60,227,185,789,273,490,271,604,312,340,456,148,724,253,561,278,431,219,105,313,20,315,421,671,304,324,847,80,856,681,126,578,85,260,220,658,82,825,285,419,674,698,592,415,690,263,401,758,159,650,173,153,559,459,695,865,736,308,787,176,428,348,883,403,744,86,286,481,238,351,751,537,527,588,236,494,32,608,441,749,619,705,612,116,748,504,237,245,460,250,73,288,119,814,269,136,879,828,703,261,343,221,763,331,200,321,501,74,363,63,777,773,769,191,177,831,337,790,149,243,845,210,700,422,502,880,753,434,75,388,241,654,867,8,413,147,206,382,389,163,720,341,646,635,190,420,295,809,40,385,29,396,469,849,564,166,585,863,586,404,750,43,109,716,169,727,1,319,298,98,601,729,478,423,218,461,704,357,134,649,248,697,830,356,12,207,593,861,816,539,641,842,843,622,30,194,283,65,805,837,432,424,515,72,645,438,229,182,760,5,199,712,445,474,766,103,875,37,581,45,160,721,353,678,568,56,213,198,642,178,427,262,545,90,59,560,407,599,17,571,626,96,486,544,793,482,732,792,142,536,21,223,717,779,864,822,785,692,448,498,713,801,569,706,344,183,102,123,623,113,484,54,853,88,701,606,78,325,34,92,715,513,621,524,676,115,730,878,451,217,165,124,152,209,84,7,731,660,79,296,832,804,339,77,617,528,644,509,653,491,375,214,138,857,855,659,270,416,112,130,347,301,410,97,39,747,589,255,205,786,226,157,38,817,517,355,68,426,89,13,885,24,611,129,336,824,823,118,526,106,472,605,609,506,202,276,359,47,231,35,745,596,188,783,556,447,806,640,752,819,840,834,379,141,755,768,306,597,390,51,180,602,874,743,780,587,566,802,114,111,430,328,869,719,675,572,216,208,797,6,520,871,873,189,475,449,584,228,718,848,309,521,122,395,314,632,553,850,144,71,412,161,510,366,629,19,140,145,495,815,332,663,452,411,266,734,156,487,775,365,258,128,322,371,463,781,523,580,251,610,670,464,61,280,485,384,870,317,531,796,791,820,275,444,290,643,682,429,117,91,222,378,577,468,497,833,551,634,323,274,446,756,542,257,465,742,120,453,125,174,146,265,268,689,688,440,525,212,399,127,821,338,83,289,450,349,470,547,691,11,232,665,16,630,94,3,728,252,473,859,196,827,757,41,293,554,693,826,508,425,711,22,64,702,370,374,394,46,882,197,574,99,277,492,764,69,333,808,836,42,162,100,455,287,380,151,297,101,249,31,776,575,522,767,330,680,583,346,345,342,479,854,414,625,573,132,167,50,369,175,104,303,26,184,591,211,406,307,677,93,516,598,364,95,462,335,23,439,666,483,652,433,762,310,311,615,318,235,631,657,557,725,694,607,866,839,204,683,386,488,803,565,18,741,402,696,835,187,614,759,627,171,637,624,55,354,292,799,272,552,876,471,326,436,392,305,774,489,788,794,603,230,186,664,812,193
1: 555,14,193,52,881,108,247,656,669,381,512,442,686,532,594,503,590,362,27,782,282,519,154,15,264,558,329,155,291,201,582,648,53,373,87,761,829,133,387,810,636,770,477,467,818,549,376,172,135,168,518,239,466,651,562,256,722,862,841,327,320,279,300,259,195,48,673,534,707,655,316,76,158,877,334,58,543,476,358,541,858,846,391,851,81,616,811,400,639,107,302,284,647,500,538,150,225,224,633,62,418,684,739,137,458,437,499,860,44,352,567,772,884,66,360,638,687,181,511,784,740,244,548,443,281,710,714,393,771,299,613,28,2,267,661,179,372,800,533,350,679,540,246,576,215,377,49,242,9,738,872,737,667,746,765,699,735,662,139,726,529,361,595,131,807,240,672,170,798,570,405,36,708,192,233,409,234,709,868,121,33,496,550,368,383,685,844,480,505,514,733,70,417,4,57,457,493,397,164,600,398,795,25,367,620,668,546,203,563,813,535,454,254,408,838,185,143,530,435,579,754,618,67,778,723,110,507,852,253,227,561,273,789,10,431,271,60,340,312,490,604,304,847,148,20,278,313,724,324,421,628,219,315,456,105,220,856,260,578,419,82,80,85,285,825,658,681,415,671,126,690,592,674,698,401,263,159,173,650,695,736,459,348,153,865,559,176,758,787,308,883,403,286,744,86,481,351,619,608,751,537,238,494,527,236,612,32,588,245,116,441,705,749,428,504,748,460,250,237,73,288,879,136,269,828,119,763,343,814,221,261,703,200,74,63,331,321,363,501,177,769,773,777,337,191,831,700,790,149,422,845,243,502,210,753,880,388,241,654,413,75,867,8,389,147,382,163,206,809,646,720,295,420,341,40,635,190,385,434,29,469,564,849,716,585,166,863,396,586,727,404,750,298,1,98,319,109,169,43,601,478,423,729,218,134,704,357,649,207,461,248,830,861,356,12,697,593,539,816,641,843,842,194,65,622,30,72,837,805,515,424,432,182,760,645,438,283,229,445,5,712,766,103,199,474,875,160,721,581,198,678,45,213,568,353,56,642,178,37,427,545,262,90,59,407,560,626,599,17,571,96,486,544,732,482,793,792,142,536,21,223,717,864,779,822,785,692,448,713,498,801,569,706,113,344,183,123,623,102,484,853,54,88,701,606,78,325,34,715,621,92,513,524,676,730,115,878,451,296,165,124,209,152,84,7,731,79,644,832,660,804,339,528,77,617,217,509,491,653,214,375,857,138,659,855,270,416,130,112,347,301,410,97,39,747,589,255,786,205,226,517,355,817,157,38,68,89,426,13,885,24,611,106,336,824,118,129,526,823,472,605,506,202,276,47,359,609,231,35,596,745,783,188,556,640,840,447,566,806,752,834,379,141,755,180,306,819,51,768,390,874,602,743,780,597,587,114,802,111,869,328,430,719,572,675,208,189,797,216,871,6,520,873,475,449,584,718,228,848,521,314,309,122,553,140,395,161,144,510,412,71,850,629,19,366,632,145,495,815,332,663,452,734,411,156,487,266,322,371,258,775,365,128,463,781,523,580,251,610,670,464,280,485,61,384,870,317,531,820,791,275,290,796,643,682,444,429,117,91,577,222,833,378,551,468,497,634,323,756,274,446,465,742,542,257,453,120,125,174,268,265,146,689,688,440,399,525,212,127,821,338,83,450,289,349,470,691,547,232,11,16,94,630,665,728,859,252,3,473,827,196,757,41,293,554,508,826,693,425,711,64,22,370,374,702,46,394,197,882,277,574,492,99,764,333,808,69,836,455,42,162,151,287,380,297,31,100,575,776,522,101,767,330,249,680,346,345,342,854,583,573,625,414,479,50,175,132,369,26,303,104,167,184,591,406,307,211,93,677,516,598,364,95,439,462,23,335,666,483,652,433,310,311,762,615,318,631,235,741,557,607,694,725,866,803,204,839,386,683,488,565,18,696,657,402,187,835,627,614,171,759,637,624,55,354,292,799,272,552,876,471,326,436,392,489,774,305,788,794,603,230,664,186,812,294
1: 555,14,193,52,881,108,656,247,669,381,442,512,686,532,594,590,503,362,782,27,282,154,519,15,558,264,329,291,201,155,648,373,53,582,387,761,770,87,636,829,133,477,168,135,818,549,376,172,467,518,466,239,256,722,651,562,862,841,327,810,300,279,320,259,195,48,707,673,655,316,158,76,334,877,543,58,476,358,541,846,391,858,851,107,81,811,534,616,400,302,284,647,639,538,500,225,684,458,62,224,739,150,633,437,418,499,44,567,860,352,137,884,360,181,687,244,638,66,784,772,511,740,443,281,710,771,714,548,613,393,267,28,2,661,372,679,299,179,533,350,246,576,540,215,377,738,9,49,737,667,872,242,800,746,765,735,699,662,139,726,529,361,131,595,807,240,672,170,798,570,36,405,233,192,708,409,234,709,121,868,33,496,550,383,368,685,844,514,480,70,733,505,417,57,4,457,493,397,164,398,795,367,25,600,668,620,546,203,813,563,535,838,454,254,435,408,618,579,185,143,530,561,723,754,507,110,852,227,67,273,431,778,253,10,60,789,271,340,312,847,304,148,604,20,278,724,313,324,490,421,315,456,219,105,260,220,578,628,856,80,82,658,825,690,285,681,419,415,85,126,674,401,592,698,263,159,650,173,671,695,736,348,153,559,459,176,758,865,787,308,883,286,403,86,744,481,608,619,537,351,751,238,527,494,612,588,245,236,32,441,705,749,428,116,504,748,237,460,250,73,288,879,763,828,119,269,136,343,814,261,221,703,200,74,63,331,321,191,363,177,769,773,777,337,501,831,700,422,413,149,790,753,243,502,210,880,388,8,241,845,75,654,867,389,382,147,163,206,809,720,420,646,295,341,190,635,40,434,385,469,564,849,29,716,585,396,166,863,586,727,404,750,298,109,1,98,319,169,43,601,218,478,729,134,423,357,649,704,207,461,248,830,861,12,697,593,356,816,539,641,843,842,65,622,194,30,72,837,805,424,432,182,645,760,229,515,445,5,438,766,712,283,103,875,474,678,721,199,160,581,45,198,568,262,213,56,642,178,353,427,545,37,90,59,407,599,560,626,17,571,96,486,544,793,732,482,792,142,536,21,223,717,864,785,779,822,692,713,448,569,498,801,706,113,344,183,123,623,102,484,54,853,88,701,606,78,715,34,325,621,92,513,524,730,676,115,878,451,296,124,165,152,209,84,7,731,79,644,832,660,804,339,528,77,617,217,653,509,491,214,375,857,138,659,855,270,416,130,112,347,301,410,97,747,39,589,255,786,205,517,226,157,817,355,38,426,68,13,89,885,24,611,336,824,106,118,526,823,472,129,202,605,506,276,359,609,47,231,566,35,745,783,188,556,840,640,447,596,806,834,752,379,755,141,306,819,180,51,768,390,602,874,743,780,597,587,114,802,111,430,328,719,869,572,675,797,6,208,189,216,871,520,873,475,449,584,718,228,521,848,314,309,553,395,632,122,161,144,510,19,412,71,629,850,366,140,145,495,815,332,663,452,734,266,156,487,411,371,258,322,365,775,128,781,463,523,580,251,610,670,464,280,61,485,384,870,317,531,820,791,275,796,290,682,643,444,429,117,91,577,222,833,378,551,468,497,634,323,756,274,446,742,465,542,257,453,120,125,174,268,146,265,689,688,440,399,525,212,127,821,338,450,349,83,289,470,547,691,11,232,94,16,630,665,728,859,252,3,473,827,757,196,41,293,826,508,554,693,425,711,64,22,370,702,46,394,197,574,882,277,492,99,374,333,808,69,836,455,764,42,151,162,287,380,297,31,249,522,575,776,101,767,330,100,345,680,346,342,854,583,573,625,414,479,369,50,175,132,303,104,26,184,591,406,167,211,307,677,93,598,364,516,439,462,23,666,335,95,483,652,433,310,311,762,318,615,631,235,741,607,557,694,725,866,803,204,839,683,386,488,565,696,657,18,402,187,835,614,171,627,759,637,624,354,55,799,292,272,552,876,471,326,436,392,305,774,489,788,794,603,186,664,230,812,294
1: 555,14,52,294,881,193,108,381,442,512,656,532,247,669,503,362,686,27,282,594,154,590,782,15,558,519,329,264,291,201,155,648,582,53,373,387,761,87,770,829,133,636,168,135,477,549,818,376,467,172,518,239,256,722,466,651,562,841,862,327,810,300,279,320,259,195,48,334,316,707,673,655,846,158,877,76,543,58,476,358,541,107,391,858,851,534,81,400,811,616,302,284,647,150,538,500,225,567,62,458,224,739,639,633,684,418,437,499,44,860,352,137,360,884,244,687,66,638,181,784,772,740,281,511,771,443,548,714,613,2,393,710,267,28,661,372,299,679,179,533,246,350,576,9,377,540,738,215,746,49,667,737,800,242,872,662,765,699,529,735,139,726,361,131,595,240,807,672,36,798,170,570,405,192,233,708,409,234,33,709,121,868,550,496,383,685,514,368,844,505,480,733,70,417,57,4,457,493,164,367,397,398,795,25,838,600,203,546,620,813,563,435,535,454,408,254,185,143,668,530,754,723,579,852,507,618,110,67,431,778,227,253,10,273,789,340,271,561,312,60,847,148,304,20,278,604,421,490,724,315,456,313,219,324,105,578,628,260,681,220,825,82,856,85,690,658,419,415,80,401,674,285,126,698,592,263,159,173,671,650,459,736,695,153,865,559,348,758,176,787,883,308,286,86,403,744,537,481,588,351,751,608,238,236,245,619,612,527,32,494,441,705,237,504,749,116,748,428,73,460,763,250,879,828,703,288,343,136,269,814,261,119,221,74,63,200,331,191,321,769,363,773,413,177,337,777,831,700,501,753,149,422,790,243,502,210,880,75,845,388,8,241,654,867,382,389,163,206,147,809,420,720,646,295,341,635,434,190,40,385,564,469,849,29,166,716,585,863,727,586,750,404,298,396,1,109,98,169,319,43,601,218,478,729,134,423,357,649,704,207,461,248,861,830,593,12,356,539,816,697,843,641,842,65,194,30,622,837,805,424,72,182,432,645,229,515,760,5,766,438,445,283,103,875,712,474,721,199,160,678,45,581,198,568,213,262,56,642,178,353,427,545,37,90,59,560,599,407,626,571,17,96,486,793,544,732,482,792,142,21,536,717,223,864,785,779,822,692,713,448,569,801,498,706,113,344,183,123,623,102,54,484,853,88,701,606,78,715,34,325,621,524,92,513,730,676,115,878,296,451,165,124,209,152,84,7,731,79,644,832,660,528,339,804,77,617,217,509,214,491,653,375,857,138,659,270,855,416,130,112,347,301,410,97,747,39,589,255,786,517,205,226,817,157,355,38,68,13,426,885,89,24,336,824,611,118,526,106,823,129,472,605,202,276,506,359,609,47,231,566,35,783,745,188,556,840,640,596,447,834,806,379,752,141,306,755,819,51,180,768,390,602,874,743,597,780,587,114,802,430,111,328,719,869,572,675,797,189,6,208,216,871,873,520,449,475,584,718,228,521,848,395,19,553,314,487,309,122,161,510,412,71,144,629,850,145,632,366,495,815,452,332,663,734,156,140,266,411,371,258,365,775,322,128,280,463,523,580,251,610,464,670,781,61,485,384,870,317,531,796,820,791,682,275,290,643,444,429,91,117,577,222,833,378,551,497,468,323,634,756,274,542,257,446,742,465,453,120,125,174,146,268,265,689,440,688,399,212,525,127,821,450,338,349,289,83,470,547,11,691,232,94,16,630,665,859,728,252,3,473,827,196,757,41,293,554,693,508,425,711,64,22,702,370,826,46,394,574,882,197,277,492,374,99,69,333,808,836,455,764,42,151,162,287,380,297,31,249,575,522,776,101,767,330,100,345,680,346,342,854,573,625,583,414,369,50,132,175,303,104,26,184,406,479,591,211,307,677,93,167,598,439,364,95,666,462,23,335,516,483,433,652,310,311,762,318,631,615,235,741,607,557,694,725,866,204,803,683,839,386,565,488,696,657,18,402,187,835,171,614,627,759,637,354,624,55,799,272,292,552,876,471,326,436,392,774,788,489,305,603,186,664,230,794,812
1: 555,14,812,52,294,881,193,108,381,656,442,512,247,532,669,503,362,686,27,282,594,782,154,590,15,558,519,329,291,264,201,155,648,582,53,387,373,761,87,770,829,133,135,168,636,477,818,549,467,376,172,518,256,651,722,239,562,841,466,862,327,334,300,195,320,279,259,810,48,707,316,673,655,158,846,476,76,877,58,543,358,534,858,541,107,391,851,150,811,400,81,616,567,284,302,647,538,500,225,458,62,739,639,224,684,633,418,44,437,499,860,137,244,352,687,884,360,66,181,772,638,784,511,740,281,771,443,548,714,613,393,2,710,267,28,661,299,372,679,533,350,246,179,377,576,738,667,540,215,9,746,800,49,737,662,699,242,765,872,735,139,529,726,361,131,807,595,240,798,672,36,405,570,170,192,233,708,409,234,33,121,709,868,550,383,496,733,514,685,368,505,844,70,57,480,417,457,4,493,164,367,397,398,795,25,600,203,546,620,838,813,185,435,454,408,535,563,668,254,143,852,754,723,579,530,507,431,67,110,618,778,227,273,789,253,312,10,561,340,271,313,60,847,456,304,148,421,490,278,604,724,315,20,219,324,105,578,419,681,260,690,220,415,825,856,82,628,658,85,674,80,126,285,401,592,698,263,671,159,173,650,736,459,153,695,758,865,559,176,348,787,883,286,308,86,403,619,744,537,751,351,608,238,481,588,245,527,612,32,494,504,236,703,441,705,749,116,748,237,763,250,460,288,828,428,879,73,343,136,814,119,269,261,221,74,63,191,200,331,321,769,363,413,337,773,177,700,777,831,501,753,422,149,502,243,790,880,210,845,75,8,241,388,867,654,382,389,163,206,420,147,720,646,341,809,434,40,295,190,635,385,564,29,469,849,166,585,716,863,586,298,396,727,750,404,1,98,319,169,43,109,218,601,729,478,134,423,357,649,704,207,248,861,830,461,593,356,12,697,539,816,843,641,842,65,837,194,622,30,424,805,72,432,182,283,229,645,445,760,438,766,5,515,875,103,474,721,262,160,712,581,198,678,45,199,213,568,56,642,353,178,427,37,545,90,560,59,599,407,626,96,571,17,793,544,486,482,142,732,792,536,21,717,223,864,785,779,822,692,713,448,569,801,498,706,113,344,183,123,623,102,54,88,484,853,701,78,606,715,34,325,524,92,621,513,730,676,115,878,296,451,165,124,152,209,84,7,731,79,644,832,660,528,339,804,77,617,416,509,214,491,653,375,857,138,659,270,217,855,130,112,347,301,410,97,747,589,39,517,786,255,205,817,226,157,355,38,68,885,13,426,89,824,336,24,611,118,106,526,823,129,202,472,605,276,359,506,609,231,47,566,35,783,745,188,556,840,834,596,447,640,806,379,752,141,306,755,819,51,180,768,390,602,874,597,743,780,587,114,430,802,111,328,719,869,675,572,797,189,873,871,6,208,520,216,449,475,584,718,19,228,521,848,395,553,314,487,122,309,161,510,412,144,71,629,850,366,632,145,495,815,452,332,663,266,156,140,734,411,258,371,775,365,322,128,280,463,523,580,251,610,670,464,781,61,485,384,870,317,531,796,275,682,820,791,290,643,444,429,222,117,91,577,833,551,378,634,323,497,468,756,542,274,257,742,446,440,465,120,146,125,174,268,688,265,453,689,212,399,525,127,821,450,338,349,289,83,470,11,547,691,232,94,16,859,630,665,3,252,728,473,827,196,757,41,293,693,554,508,711,425,64,22,702,370,826,46,394,882,574,197,277,492,374,99,69,333,808,836,455,249,42,162,151,287,380,297,31,764,575,101,522,776,767,330,100,345,680,346,342,854,625,573,369,583,414,50,132,175,104,303,26,184,591,406,479,307,211,677,167,93,598,439,95,364,666,462,23,335,516,483,652,433,310,311,762,318,631,615,235,607,741,694,866,204,557,725,803,839,565,386,683,488,657,696,18,402,627,187,835,759,171,614,637,354,624,799,272,55,326,552,292,471,876,436,392,774,788,489,664,603,186,230,305,794
1: 555,14,794,52,881,812,294,108,193,381,247,512,442,656,532,669,503,362,686,27,282,594,782,154,590,15,558,519,291,329,264,155,201,648,582,387,53,373,87,761,770,829,133,168,135,549,636,818,477,467,376,172,722,862,518,256,651,841,239,562,639,466,279,327,567,195,707,48,259,320,673,300,316,334,58,158,877,655,76,534,543,858,476,541,616,851,846,107,358,400,81,811,284,391,302,810,647,500,538,224,739,150,458,225,62,418,44,633,684,137,66,860,244,181,687,437,548,499,352,884,360,784,511,443,772,281,638,771,740,393,267,613,714,710,28,2,661,679,372,533,246,800,350,540,179,662,576,215,9,699,299,49,529,872,746,667,738,765,361,377,737,139,735,242,807,726,672,798,240,595,131,170,36,405,570,192,233,708,234,33,409,868,121,709,496,550,383,685,480,733,368,505,70,514,844,417,493,4,164,457,397,398,57,795,367,25,620,546,600,838,813,435,185,852,203,535,254,563,454,668,143,408,723,754,579,110,67,778,273,618,507,431,530,227,312,313,561,340,789,253,271,60,10,304,490,456,315,604,847,148,278,724,421,324,578,419,219,20,220,105,681,85,415,628,856,825,690,260,82,658,674,671,698,592,80,285,263,126,173,159,401,153,758,736,695,650,459,176,865,286,559,348,86,883,787,744,537,703,403,308,351,245,751,494,238,619,608,481,612,527,32,588,236,504,441,705,763,748,237,116,749,828,119,814,343,288,73,879,460,428,250,136,269,63,191,261,200,221,321,74,337,413,769,363,177,331,773,753,700,501,777,422,831,149,790,845,210,502,880,243,241,8,382,75,388,867,389,654,434,720,809,163,646,206,147,420,295,40,190,635,341,385,29,564,849,469,166,863,585,727,716,298,586,404,750,1,396,98,169,319,109,43,357,218,649,601,423,134,478,207,248,704,729,816,356,861,12,461,593,830,539,641,697,843,65,842,622,837,432,194,424,30,515,805,182,229,72,645,760,262,445,766,5,103,875,438,721,283,474,160,45,353,712,213,678,198,581,568,56,37,642,427,199,178,545,560,59,90,407,599,626,96,571,17,544,486,793,142,732,482,792,536,21,717,223,864,785,779,822,692,713,448,569,801,113,498,706,344,183,123,623,54,853,102,88,484,701,78,606,34,621,715,524,325,92,730,513,676,115,878,296,451,124,165,152,209,7,84,731,644,832,79,660,528,339,804,77,617,416,509,214,491,653,375,857,138,659,270,217,130,855,112,347,301,410,97,747,589,517,39,786,255,205,817,226,355,157,38,13,89,885,68,426,336,611,824,526,24,106,118,823,129,202,472,605,276,359,506,47,609,231,566,35,745,556,188,783,840,596,834,447,640,379,806,752,141,306,819,755,180,51,768,390,874,602,597,743,114,587,430,780,802,111,869,719,328,675,572,6,189,797,216,208,871,873,449,520,475,19,487,584,228,521,848,553,314,309,718,395,510,122,161,412,71,629,144,366,632,850,145,495,815,452,332,663,734,156,140,266,411,371,365,258,775,322,463,280,128,523,580,610,251,464,670,781,61,384,485,870,317,531,796,682,820,275,643,290,791,577,117,429,91,222,444,833,378,551,634,323,497,468,756,542,274,742,446,440,465,257,174,120,146,125,268,265,453,688,689,399,212,525,127,821,450,338,349,289,470,11,83,547,232,691,16,859,252,630,665,728,3,94,473,827,757,196,293,41,508,554,693,711,425,64,22,702,370,46,574,394,197,882,277,492,826,99,808,333,69,836,455,374,42,287,151,297,380,162,249,776,522,31,101,575,767,330,764,345,680,346,342,854,625,100,369,573,414,50,175,132,104,583,303,26,184,406,307,591,211,677,93,167,598,439,479,364,462,666,23,95,335,483,516,310,652,433,762,311,318,235,631,741,615,607,694,204,557,866,725,803,386,683,565,839,488,657,696,18,627,402,187,759,835,171,614,354,637,624,799,272,55,471,552,292,326,876,436,392,774,788,664,186,230,603,489,305
1: 555,14,305,52,794,881,812,294,108,193,381,669,512,442,247,532,656,503,362,686,27,282,594,782,154,590,558,519,15,291,329,264,155,201,648,582,387,53,373,87,761,829,770,168,135,133,549,636,467,818,477,376,172,722,567,256,518,862,841,651,639,239,466,562,279,327,334,195,707,48,259,320,673,316,300,150,58,158,877,534,655,543,476,76,858,541,616,846,107,851,811,284,81,400,358,302,647,391,500,538,739,810,458,224,418,225,62,633,137,44,860,66,684,181,687,244,548,437,499,352,360,884,784,281,511,443,772,771,638,393,740,267,613,714,710,661,28,2,679,533,372,299,246,540,350,662,179,667,215,9,800,576,49,699,746,529,872,738,377,361,765,139,737,735,595,807,242,726,240,672,170,131,36,798,405,570,192,708,233,33,234,409,868,121,496,709,550,383,480,368,733,685,70,514,844,505,417,493,57,4,457,397,398,367,164,795,620,25,546,838,600,203,813,185,435,852,535,67,563,454,254,143,408,723,579,668,754,273,778,110,618,507,431,530,227,561,340,312,789,313,253,60,271,10,490,456,304,604,421,148,847,315,724,324,578,419,278,219,20,681,85,105,220,415,856,825,690,260,82,671,658,674,698,592,285,263,80,628,126,173,159,401,736,758,153,695,650,459,176,286,865,559,883,86,348,308,703,537,744,403,787,751,351,238,245,619,481,608,494,612,527,588,32,236,441,504,763,237,705,748,749,116,828,119,343,73,814,428,288,879,460,250,136,269,63,191,261,221,200,321,753,413,74,337,769,363,773,177,331,501,700,777,422,831,149,790,845,210,880,502,243,8,241,75,388,867,389,654,382,720,163,809,646,206,147,434,40,295,635,190,341,385,29,564,420,849,469,166,716,863,727,585,298,586,404,1,750,396,169,98,319,109,43,357,649,218,601,134,423,478,207,248,729,704,356,816,861,593,461,12,830,539,641,697,843,65,842,622,432,837,424,30,194,805,262,182,72,229,645,875,515,760,445,766,5,103,438,721,283,160,474,353,198,45,213,712,678,56,37,581,568,642,199,427,178,545,560,59,90,407,599,626,17,571,544,96,793,486,142,732,482,792,536,21,717,223,864,785,779,822,692,713,448,569,113,801,498,706,344,183,623,123,853,54,102,88,484,701,78,606,34,715,524,621,325,730,92,513,115,676,878,296,451,124,165,152,209,7,84,731,644,832,79,660,528,339,804,77,617,416,509,491,214,653,375,138,857,659,130,217,270,855,112,347,301,410,97,747,589,517,786,39,255,226,817,205,355,157,13,38,89,426,885,336,68,611,24,824,526,106,118,823,129,202,472,276,605,359,506,47,609,566,231,35,556,745,188,783,840,596,447,834,640,379,806,752,819,141,306,755,180,768,390,51,874,597,602,743,430,114,587,780,802,111,719,328,869,675,572,6,797,189,871,216,208,873,449,520,475,487,19,584,228,521,848,553,314,395,718,510,309,122,161,71,412,629,144,850,632,366,145,495,815,452,332,663,411,156,140,734,266,371,365,258,775,322,463,280,128,610,523,580,251,464,781,670,61,384,485,870,796,317,682,275,820,643,290,791,577,531,429,91,222,444,833,378,551,634,117,497,542,756,468,274,742,446,323,257,465,146,174,120,125,268,265,440,688,399,212,689,525,127,821,453,338,349,289,470,83,11,547,232,450,691,859,16,630,252,3,665,728,473,827,757,196,41,293,508,94,554,711,693,425,702,64,22,370,46,574,394,197,882,277,492,249,99,808,69,333,836,455,826,42,287,151,297,380,374,162,776,522,101,575,31,767,764,330,345,680,346,342,854,625,100,369,573,50,414,175,132,583,104,303,26,184,406,307,591,211,677,167,93,598,439,479,364,666,462,23,95,483,335,516,310,652,433,762,311,235,318,631,741,607,615,694,866,204,557,725,803,488,386,565,683,657,839,696,18,402,627,187,759,171,835,614,354,637,624,799,272,55,471,326,552,292,876,436,788,774,392,186,664,230,603,489
1: 555,14,305,794,52,812,881,294,108,193,381,686,442,512,247,532,669,503,362,656,27,282,594,782,154,590,519,15,558,291,329,264,155,201,648,582,387,53,87,373,761,829,467,770,135,133,549,818,168,567,636,376,477,172,639,518,256,862,841,722,239,651,562,466,279,846,327,195,48,707,320,259,673,58,150,316,300,158,877,334,655,476,543,76,858,541,534,107,616,851,811,284,81,358,400,810,302,647,391,500,739,458,538,224,418,225,62,633,137,66,860,684,44,687,244,548,181,437,499,352,360,884,784,281,772,511,771,638,393,740,443,613,714,267,710,2,28,661,679,533,800,372,246,667,540,662,350,576,377,179,9,215,699,746,49,872,361,738,299,529,765,139,735,737,595,807,726,242,240,672,131,36,170,405,798,708,192,570,233,33,234,409,121,868,496,685,550,383,480,733,368,57,70,505,844,709,417,514,493,4,457,397,164,398,367,795,620,25,838,546,813,535,185,600,203,561,852,435,454,143,563,254,754,408,579,668,723,431,273,507,110,618,530,312,67,778,340,227,60,313,253,789,271,490,10,456,421,304,604,847,724,315,578,419,324,148,278,20,219,85,105,681,220,415,690,856,825,260,82,671,658,674,698,80,592,628,285,263,173,126,159,758,401,736,153,650,695,459,286,176,865,559,883,86,348,537,703,751,744,403,351,308,787,238,619,245,481,494,527,612,608,588,32,236,441,237,763,748,504,705,749,828,119,116,343,879,191,814,73,460,288,250,136,63,269,428,337,261,200,321,753,221,74,769,773,363,413,177,331,700,831,777,422,149,501,790,210,243,880,502,8,241,382,75,388,654,389,867,845,720,809,163,646,147,206,434,40,295,635,341,190,385,564,29,420,849,469,716,166,863,727,298,585,586,404,396,169,1,98,750,319,109,43,357,218,649,601,134,423,207,729,478,248,704,356,816,697,861,593,12,830,539,461,641,843,65,842,262,432,837,30,622,424,194,805,182,229,72,645,445,5,760,766,875,721,515,103,438,283,474,160,198,213,678,45,37,581,712,56,568,642,353,427,178,560,545,59,199,90,407,599,626,17,571,96,544,793,486,142,482,732,792,21,717,536,223,864,785,779,692,713,822,448,569,113,801,706,498,344,183,123,623,853,88,54,102,484,701,78,606,34,715,524,325,621,730,92,513,115,676,296,451,878,124,165,152,209,7,731,84,644,832,79,660,528,339,804,77,617,416,509,214,491,653,375,138,857,130,217,659,270,855,112,347,301,97,410,747,517,589,786,39,255,817,226,205,355,157,13,38,89,68,885,336,426,611,824,24,526,106,118,823,202,472,129,359,276,605,506,609,47,566,231,35,556,745,783,188,840,596,834,447,379,640,806,752,819,141,306,755,180,768,51,390,874,597,602,743,430,114,587,780,802,111,719,328,869,675,572,6,797,871,189,449,873,216,208,19,520,475,487,584,228,521,848,553,314,395,510,309,122,161,71,412,629,850,366,718,144,145,495,452,815,332,663,156,632,411,734,266,371,258,365,775,322,140,128,463,610,523,580,251,280,464,670,61,384,485,796,781,870,682,317,275,820,643,290,791,577,531,91,429,222,833,444,551,378,634,117,497,756,542,468,742,274,257,446,323,465,146,174,120,125,268,440,265,688,212,399,689,525,127,821,453,338,349,289,11,470,83,547,232,691,16,859,630,252,3,728,665,450,473,827,757,196,41,293,508,554,94,711,693,425,702,64,22,370,46,574,394,197,882,492,249,277,99,808,69,333,836,826,455,42,287,151,297,374,380,162,776,31,522,575,101,767,330,345,680,346,764,342,854,369,625,100,573,50,414,175,132,583,104,303,26,184,406,591,307,211,677,167,93,598,439,479,364,666,462,23,95,335,310,516,483,652,762,433,311,235,318,631,741,607,694,615,866,204,557,803,725,565,488,683,657,839,696,386,18,402,627,759,187,171,835,614,354,637,624,272,799,471,55,326,552,292,876,788,774,436,664,186,392,230,603,489
1: 555,14,305,794,52,881,812,108,294,193,381,686,442,512,669,532,656,503,247,362,27,282,594,782,154,590,558,291,15,519,329,264,155,201,387,582,648,53,87,567,373,168,761,829,135,770,549,818,467,133,376,477,150,636,172,518,256,841,639,862,466,562,239,651,722,279,327,58,320,707,48,195,334,259,673,316,877,158,300,846,655,476,543,858,76,541,534,284,107,616,811,851,400,358,81,302,647,458,500,391,739,810,538,224,418,225,62,137,860,684,633,244,548,44,66,687,437,181,352,360,884,772,499,784,281,511,771,740,393,638,443,267,714,613,710,28,661,667,679,377,533,2,372,246,179,576,540,662,800,350,9,699,215,738,746,872,299,49,361,529,807,765,139,595,737,735,242,726,240,36,131,672,170,570,405,192,708,233,33,798,409,234,121,505,868,685,550,70,496,480,57,383,733,368,844,709,417,514,493,4,457,397,164,398,367,795,620,838,25,535,185,852,546,813,668,600,435,203,454,143,408,254,67,563,754,723,431,579,618,273,507,312,490,530,110,227,778,313,60,10,340,561,271,789,253,847,421,456,85,304,604,578,419,724,315,324,278,148,20,219,105,671,690,415,220,681,856,825,82,674,260,658,80,758,698,285,592,263,126,173,159,628,401,153,736,650,459,695,286,176,559,865,883,86,703,403,744,308,348,351,537,238,481,588,751,787,245,608,494,619,527,32,236,612,441,504,748,763,705,749,828,119,116,343,237,288,73,879,460,814,63,191,250,136,269,200,337,261,413,753,321,221,769,74,773,428,363,177,700,331,831,777,501,422,149,790,210,243,880,502,382,8,241,75,388,654,867,389,845,720,163,809,646,434,206,295,147,40,635,341,564,420,849,29,385,716,190,166,469,298,863,585,727,586,404,1,169,98,319,43,750,218,109,649,357,396,134,601,423,729,478,248,704,356,207,697,816,861,830,593,12,641,539,843,842,461,65,30,432,837,424,194,805,72,229,262,182,645,875,766,760,445,721,622,5,438,103,283,160,474,198,213,515,678,581,56,45,712,37,568,642,178,427,545,353,59,90,599,199,626,560,17,571,407,544,793,142,96,486,732,792,482,717,21,536,223,864,785,779,692,713,822,448,569,113,801,706,498,344,183,623,123,54,853,88,102,484,701,78,606,34,715,730,325,524,621,92,513,115,676,296,451,878,152,124,165,209,7,731,84,644,832,79,660,528,339,804,77,416,617,509,214,491,653,375,857,138,217,270,659,130,855,112,347,301,97,410,517,747,786,589,39,817,255,205,226,355,157,13,38,89,68,426,885,611,824,106,24,526,118,202,336,823,472,129,605,359,276,506,609,47,566,231,35,783,556,745,188,596,840,834,447,379,640,806,141,597,752,306,755,180,51,390,768,874,819,602,430,743,114,587,780,802,111,328,869,675,572,6,797,871,719,449,19,189,216,208,873,475,520,487,584,228,521,553,848,314,395,510,122,309,161,71,412,850,629,718,144,366,145,452,495,815,332,156,632,663,411,266,734,258,371,365,775,140,322,610,463,128,523,580,61,280,464,251,670,384,485,796,781,870,317,682,275,820,643,290,791,577,531,222,429,91,444,833,551,378,634,117,542,756,497,468,257,446,742,323,274,146,465,174,120,125,268,440,265,212,688,399,689,525,127,821,338,349,11,289,470,547,83,453,691,232,630,16,859,252,3,728,665,450,473,827,757,41,196,293,554,508,711,702,693,425,64,22,94,370,46,574,394,197,492,249,882,277,99,808,69,333,836,826,455,42,287,297,151,380,162,31,776,575,522,101,767,330,374,345,680,346,764,342,369,854,625,100,573,50,414,175,132,583,104,303,26,406,184,591,307,211,677,93,598,439,167,666,364,462,23,95,310,335,483,479,652,516,762,433,311,235,318,631,741,607,694,615,866,204,557,803,725,565,488,683,696,657,386,839,18,627,759,187,402,171,835,354,614,624,637,471,272,799,326,552,55,292,788,876,774,436,664,186,392,230,603,489
1: 555,14,305,812,52,794,881,108,294,193,381,686,442,512,669,532,656,362,503,247,27,594,782,154,590,15,558,291,329,519,264,155,201,567,582,387,648,53,282,87,373,150,761,770,829,135,168,818,549,133,477,467,376,636,172,639,841,518,256,862,239,562,722,466,651,279,327,58,195,334,320,707,48,259,877,316,158,300,846,673,655,858,543,476,534,76,541,284,616,107,851,811,400,137,358,81,458,302,647,500,739,391,538,418,810,224,860,225,62,437,633,684,548,244,687,66,44,181,352,499,360,772,784,281,884,511,740,771,393,638,714,443,267,613,710,28,661,2,667,377,679,372,533,246,540,179,662,800,576,350,699,215,738,9,746,872,299,49,807,765,361,529,595,139,737,735,726,242,36,240,131,672,170,405,192,708,570,233,33,798,409,234,121,505,868,685,480,383,496,57,70,550,733,368,844,709,514,417,493,457,4,164,397,398,367,795,620,838,25,535,852,185,490,546,813,600,203,435,454,143,408,668,618,254,754,723,563,431,579,273,110,561,312,530,507,778,227,253,313,789,60,67,340,847,10,271,421,456,315,85,724,578,419,604,304,20,324,219,278,671,148,105,690,415,681,825,856,220,674,82,658,260,758,698,80,285,592,263,173,159,628,126,401,736,153,650,176,286,459,695,559,865,883,86,703,744,403,308,351,537,348,751,481,787,238,608,245,619,494,527,32,588,612,236,763,441,749,504,748,828,119,705,116,343,237,73,879,288,63,250,460,191,136,269,814,200,413,753,74,337,261,321,769,177,773,428,221,700,331,363,422,831,149,777,210,880,790,502,501,8,243,241,75,388,654,382,867,389,163,720,809,845,206,295,646,40,635,147,849,564,341,385,716,29,190,298,863,469,166,585,727,586,404,434,169,1,420,319,98,218,750,109,649,357,134,601,43,478,423,248,704,207,396,356,816,861,729,830,12,593,641,539,843,697,842,65,424,461,432,194,30,837,805,262,72,229,766,875,645,760,721,622,445,182,438,5,103,160,474,213,198,37,581,678,45,56,712,283,568,642,515,427,178,545,353,59,599,90,199,626,560,17,571,407,793,544,142,96,732,486,792,482,717,21,536,223,864,785,692,779,713,822,448,569,113,801,706,498,344,183,34,54,123,853,88,484,102,701,78,623,715,606,730,524,325,92,621,513,676,115,296,451,878,152,124,165,209,7,731,644,84,79,832,660,528,339,804,77,416,617,509,214,491,653,375,857,217,138,270,130,659,112,855,347,301,97,410,517,786,747,589,255,817,39,226,205,355,157,13,38,68,89,885,426,824,611,24,526,106,118,202,359,823,472,605,129,276,506,609,47,336,231,35,783,556,745,566,188,840,834,447,379,640,141,752,596,806,306,755,180,51,768,390,874,597,602,743,114,430,587,780,802,111,819,328,869,6,19,675,572,719,797,871,449,216,873,208,189,475,487,520,584,228,521,553,848,314,395,510,122,309,161,71,850,412,629,718,144,366,145,452,495,815,332,156,632,663,411,266,734,258,371,775,140,365,322,463,610,128,523,61,580,280,251,464,670,384,485,796,781,870,317,682,275,820,643,290,577,791,531,429,222,91,444,378,833,551,117,634,497,257,542,756,468,446,146,742,323,274,465,174,120,125,268,440,212,265,399,688,689,525,127,821,338,349,289,470,547,11,83,453,691,232,16,859,3,252,630,728,665,473,757,41,827,196,293,554,450,508,711,702,693,425,64,22,94,370,46,574,394,197,492,249,882,99,277,69,808,333,836,764,455,42,287,297,151,826,380,776,162,575,31,101,522,767,374,330,345,680,369,346,342,854,625,100,573,414,50,175,583,132,303,104,26,406,184,307,591,211,677,93,598,439,167,666,364,462,310,95,23,479,335,483,652,516,433,762,311,235,318,631,657,607,694,615,866,204,803,557,725,565,488,683,696,741,386,839,18,627,759,402,171,187,835,354,471,614,272,624,799,326,552,637,55,292,788,876,774,436,186,664,230,392,603,489
1: 555,14,305,812,52,881,794,108,294,193,381,686,442,512,669,532,656,503,247,362,27,594,154,782,590,558,291,15,329,519,264,155,567,201,387,582,53,648,282,87,639,761,829,373,467,135,549,818,133,770,376,168,841,477,172,636,518,150,239,862,256,334,562,279,466,58,651,327,846,707,48,195,320,259,316,158,877,722,673,858,300,476,655,534,543,76,541,616,284,811,851,137,400,107,81,358,500,647,739,810,860,458,302,418,538,62,391,244,225,687,548,224,633,437,684,66,44,181,352,884,499,360,638,393,667,784,443,281,740,772,511,771,267,714,613,710,28,679,377,661,533,2,246,372,540,800,576,662,179,807,215,699,350,738,361,299,765,746,9,49,139,735,872,529,36,726,737,242,131,672,240,595,170,233,570,708,33,798,192,405,409,121,234,496,480,505,868,514,70,550,368,383,844,733,685,709,57,417,795,164,4,493,457,397,398,838,620,367,535,813,852,185,546,490,25,435,203,143,454,618,419,600,254,563,754,408,723,273,60,668,579,778,110,312,253,530,507,431,67,789,271,227,313,847,340,304,578,561,421,85,315,10,724,456,324,20,219,671,105,278,415,148,220,604,681,825,690,260,674,698,658,856,628,82,285,263,80,173,758,159,592,126,153,736,401,703,695,650,176,459,559,787,865,86,883,308,744,537,286,494,403,351,245,608,751,348,238,763,619,612,527,481,32,236,828,119,441,504,748,705,749,116,588,343,63,73,288,237,879,460,814,250,413,136,74,269,200,177,337,191,753,261,769,221,700,363,773,321,149,422,331,831,790,210,428,777,502,880,8,243,241,501,388,75,867,389,654,809,434,163,720,295,646,206,716,385,40,564,147,849,635,298,382,341,863,585,469,29,190,727,845,166,586,404,319,169,98,1,420,750,218,601,649,134,43,357,109,423,356,396,478,248,704,207,262,593,816,641,843,830,12,697,861,539,842,65,729,30,432,424,805,461,194,837,229,766,182,721,72,445,760,160,103,645,622,875,198,5,438,515,474,213,712,678,56,37,45,581,568,283,427,642,178,353,545,199,59,90,407,599,626,560,17,96,571,544,142,793,717,732,223,482,792,21,486,536,864,692,785,713,779,822,448,113,569,801,706,344,498,183,54,853,123,88,102,484,78,701,34,606,730,715,524,325,621,513,92,115,676,623,451,878,152,124,165,7,209,296,731,84,832,79,660,528,339,804,77,644,617,509,214,491,653,375,416,138,857,270,659,130,855,112,347,301,217,410,517,589,747,786,97,355,39,226,255,205,157,13,38,89,885,426,68,824,611,106,526,24,605,202,817,823,472,118,359,276,129,506,566,609,47,231,35,556,783,336,840,745,188,834,379,447,640,752,141,596,806,306,755,180,51,390,768,597,874,114,602,743,430,780,587,111,819,802,328,869,19,6,871,449,719,675,216,797,572,189,520,208,487,873,475,584,553,521,228,848,314,510,395,122,309,161,366,629,71,412,718,144,850,145,452,815,495,156,632,332,663,411,266,734,775,371,258,140,365,610,322,463,61,523,580,280,464,251,128,670,870,384,485,781,796,682,317,275,643,820,290,577,531,791,91,429,833,222,378,756,444,634,117,551,146,497,542,257,468,742,274,323,446,465,174,268,125,120,212,265,399,689,525,688,821,127,440,338,349,547,289,11,470,453,232,691,83,252,16,728,630,859,3,665,473,827,196,293,554,508,757,450,41,711,693,425,702,64,22,94,370,46,574,197,277,882,492,249,99,394,808,333,69,836,455,42,287,151,297,374,776,31,380,575,162,522,101,764,767,330,345,342,826,346,369,854,680,625,573,50,175,132,100,303,414,104,26,406,583,307,184,591,211,677,93,439,167,598,364,310,666,95,462,23,335,479,483,652,516,433,235,318,762,311,631,657,607,615,694,866,204,803,557,725,565,488,683,696,741,386,839,18,627,759,171,402,187,354,471,835,799,272,614,326,552,624,637,55,292,788,876,774,664,436,186,392,230,603,489
1: 555,14,305,794,52,881,812,108,294,193,381,686,442,512,669,656,532,503,247,362,27,782,154,594,558,590,15,291,329,519,567,264,155,201,582,387,648,282,87,53,639,761,373,829,467,549,818,135,770,133,168,477,376,172,636,518,334,841,239,256,862,150,562,466,279,651,846,58,327,195,48,707,158,320,858,722,877,259,316,673,300,655,534,543,476,76,541,811,616,284,137,851,400,107,81,358,500,739,810,860,647,458,302,244,418,548,538,391,62,687,225,66,437,224,684,44,633,181,352,884,499,667,360,393,638,784,511,443,772,740,281,267,771,613,714,28,710,800,679,661,2,246,533,540,372,377,576,807,738,179,662,350,215,9,299,699,765,361,872,746,36,49,139,735,529,726,737,242,595,672,240,131,233,170,33,570,192,405,708,409,121,798,234,496,480,868,505,550,368,383,70,844,733,709,685,514,417,795,57,493,4,457,398,164,397,367,852,620,535,813,546,838,435,25,454,203,185,490,143,618,754,600,254,408,723,563,419,273,60,312,579,431,110,530,778,561,507,227,789,253,271,313,340,578,668,847,85,421,456,315,304,724,324,67,10,20,219,105,278,415,220,671,681,260,148,825,604,690,674,658,698,82,856,285,80,263,703,173,592,159,126,153,401,736,459,695,650,758,176,883,787,559,628,865,86,308,744,537,494,286,403,351,245,238,608,751,348,763,527,612,32,481,828,619,441,236,749,504,748,119,705,116,343,73,588,63,879,250,288,74,237,460,814,136,177,269,200,413,337,753,769,321,773,363,221,191,700,261,831,331,149,422,210,428,790,502,777,880,8,243,501,388,867,654,241,75,389,809,163,720,434,295,40,385,646,564,716,206,298,147,849,635,341,469,190,585,845,29,863,727,166,586,404,382,169,319,420,1,218,98,750,43,601,109,134,649,357,396,478,356,423,207,262,248,704,593,816,830,697,861,843,641,539,12,842,729,65,30,461,432,194,805,424,72,837,766,445,721,229,182,760,103,622,160,875,645,198,37,5,438,474,213,515,712,678,56,45,283,581,568,427,353,642,178,545,199,59,90,407,599,626,560,96,17,571,544,793,717,732,536,482,792,223,21,864,486,692,785,713,142,779,822,448,113,569,801,706,344,498,183,54,88,853,123,102,484,78,701,34,715,606,730,524,325,621,92,513,115,451,623,676,878,124,152,165,7,209,296,731,84,832,79,660,528,339,804,77,644,617,509,214,491,653,138,375,416,857,270,130,659,112,855,301,347,410,517,589,747,786,217,355,226,255,205,39,13,157,38,97,89,885,68,426,824,611,106,526,24,202,817,605,823,118,472,359,276,129,506,566,609,47,231,35,556,783,336,840,745,834,188,379,447,640,752,596,306,141,806,755,180,51,390,768,597,602,114,874,743,430,780,587,19,819,111,802,328,869,6,871,719,449,675,216,572,797,520,189,208,873,487,475,584,553,521,228,848,510,314,122,395,309,161,366,629,144,71,850,718,412,145,452,815,495,156,632,332,411,663,266,734,371,775,258,140,365,610,61,463,322,580,523,464,280,251,128,670,796,384,870,781,485,682,317,275,643,820,290,577,91,531,429,791,833,222,756,378,444,634,117,551,542,146,257,497,742,468,446,323,274,465,174,268,125,120,212,265,399,689,525,688,821,440,127,338,349,289,547,11,470,232,691,83,252,16,630,728,859,3,453,665,473,827,196,293,508,41,554,450,757,702,711,693,425,64,22,94,370,46,574,197,492,249,277,99,882,394,808,69,333,836,455,42,287,151,297,776,162,380,575,31,522,101,764,330,767,345,369,374,342,346,680,854,826,625,573,50,132,100,175,414,303,104,26,406,583,307,184,591,439,211,677,93,167,598,310,364,95,666,462,23,335,479,483,652,516,433,235,318,762,311,631,657,607,615,694,803,204,866,557,725,565,488,683,696,741,386,839,627,18,171,759,187,354,402,835,471,799,272,614,326,552,624,637,55,292,788,774,664,876,436,186,392,230,603,489
1: 555,14,305,794,52,881,812,108,294,381,193,686,442,669,512,656,532,503,247,362,782,27,594,154,558,590,567,15,291,519,329,264,155,201,387,282,582,648,53,87,761,829,639,135,373,770,818,549,168,477,133,376,467,172,841,518,636,239,256,334,862,279,562,466,651,846,58,327,195,48,707,158,858,150,320,316,877,259,300,673,722,476,655,543,76,284,541,811,534,458,851,616,400,81,739,137,107,860,358,647,500,302,418,810,538,391,244,62,225,687,66,684,437,224,181,44,633,548,352,884,667,499,360,511,638,393,267,784,281,740,2,443,771,714,772,710,613,679,28,661,246,576,533,800,372,540,807,738,179,377,662,9,699,215,350,361,746,765,299,36,872,735,49,139,529,726,737,242,240,672,131,233,595,33,570,170,192,405,708,121,798,409,234,496,505,868,550,480,368,383,70,733,844,514,709,685,57,795,417,398,493,457,490,4,367,397,620,535,838,546,813,852,435,454,25,203,164,185,143,754,618,408,254,561,600,563,723,273,60,312,579,419,778,110,530,789,431,507,227,85,578,668,271,253,313,847,340,315,421,456,724,304,10,20,324,219,105,67,415,278,681,220,260,690,148,671,825,604,674,658,698,285,82,856,703,80,173,263,592,159,126,153,401,736,459,758,695,176,650,883,628,787,559,865,86,308,537,351,286,494,608,245,403,744,238,751,348,763,527,612,828,119,481,32,441,236,749,619,748,504,705,116,343,73,588,63,879,74,250,237,288,460,136,814,269,413,200,177,753,321,831,769,191,337,773,363,261,700,221,428,331,210,149,422,790,502,777,880,243,8,241,388,501,867,75,654,809,389,163,295,720,385,564,716,646,40,298,434,206,147,849,635,469,341,382,863,29,585,190,727,166,586,845,404,169,420,319,750,1,98,218,134,43,601,649,357,356,396,478,423,109,262,248,207,704,816,861,593,697,830,843,641,539,12,842,65,729,30,432,805,194,424,445,461,72,837,766,160,182,875,622,760,229,103,37,198,645,5,438,515,213,474,678,712,56,283,45,581,568,199,427,642,178,353,545,59,407,90,599,626,560,96,17,544,721,793,571,717,732,792,536,21,482,223,864,486,692,785,713,142,779,113,822,448,569,706,801,344,498,183,54,88,853,123,102,484,78,701,34,715,730,606,524,325,621,513,115,92,623,451,676,878,152,124,7,209,296,165,731,84,832,79,660,528,339,804,644,617,77,509,214,491,653,416,138,375,857,270,130,659,112,347,855,301,517,410,589,786,747,217,355,226,255,205,39,157,13,38,97,89,885,68,426,824,526,106,611,24,202,817,605,823,118,359,472,276,129,506,566,609,47,231,35,556,783,336,834,840,745,188,447,379,640,597,752,306,141,806,755,180,51,390,768,596,602,114,874,430,743,19,780,587,819,802,111,6,328,869,449,719,871,675,216,572,520,797,873,189,208,487,475,584,553,521,228,848,510,314,395,122,309,161,629,366,71,144,412,718,850,145,452,815,495,156,632,332,411,663,266,371,734,775,61,140,365,258,610,463,322,580,523,280,464,251,128,670,796,384,870,781,485,682,317,275,643,820,290,577,429,531,91,791,833,222,378,756,146,542,117,257,634,444,551,497,468,742,323,446,274,465,174,268,120,125,212,265,399,689,525,688,821,440,127,338,349,289,11,547,470,232,691,252,83,16,630,728,859,665,453,3,473,827,196,293,508,554,757,450,41,702,711,693,425,64,22,94,370,46,574,197,249,492,394,277,99,882,69,808,836,333,455,42,151,287,297,162,575,776,380,31,522,764,101,767,345,330,374,369,346,342,680,854,826,625,573,132,100,50,414,175,303,104,26,406,583,307,439,184,591,211,677,93,167,598,310,364,666,95,23,462,335,479,483,652,516,311,235,433,762,318,631,657,607,615,694,803,866,204,557,565,488,725,683,696,741,386,839,627,171,759,18,187,402,354,471,835,272,799,326,614,552,624,637,55,292,788,774,664,876,436,186,392,230,489,603
1: 555,14,305,812,52,794,881,108,294,381,193,686,442,669,512,656,532,503,247,362,27,782,154,567,594,558,291,15,590,329,519,264,155,201,387,282,582,648,53,87,761,829,639,135,770,373,818,168,549,477,133,376,467,841,172,636,518,239,150,256,862,279,562,58,466,334,651,327,195,707,48,158,858,846,320,316,259,300,877,722,476,673,655,76,543,284,458,811,534,541,851,616,81,400,860,739,137,107,358,647,500,302,418,391,538,62,244,225,810,687,66,181,224,437,44,548,684,633,667,352,511,499,884,360,772,771,393,638,784,281,2,267,740,443,714,710,679,613,661,28,246,800,533,576,540,807,372,377,662,738,179,699,215,350,9,36,299,361,765,746,735,872,49,139,529,726,737,240,131,242,672,33,798,233,595,170,405,192,570,121,708,409,234,496,368,868,505,550,383,480,70,733,844,685,514,709,795,417,57,493,367,4,398,457,397,852,490,813,620,185,435,535,838,546,454,25,203,143,600,561,754,618,563,408,723,273,254,419,778,60,431,579,312,789,85,530,578,164,227,110,253,507,271,847,313,340,668,315,421,456,724,304,20,324,681,67,10,415,219,278,105,690,825,220,148,703,260,674,604,698,658,285,671,82,856,173,263,80,159,592,126,153,736,401,695,459,176,650,883,758,787,559,865,308,86,238,351,537,286,494,608,744,245,403,348,628,763,751,527,828,119,612,481,32,749,441,748,619,236,504,705,343,413,116,73,63,879,74,588,250,288,460,269,136,814,237,200,337,831,753,321,191,769,363,773,700,177,221,261,428,210,331,422,149,502,790,777,880,8,243,388,241,501,867,75,654,389,809,163,295,720,716,564,385,646,382,206,40,147,849,635,434,469,341,585,29,190,863,166,420,727,586,404,845,169,319,750,1,43,134,98,218,601,396,649,357,356,207,478,262,109,423,248,816,704,861,830,593,843,641,697,539,12,842,65,729,30,194,298,461,805,432,424,72,837,766,622,875,445,160,182,37,760,229,103,198,515,645,5,438,283,213,678,474,56,712,581,199,45,568,178,427,642,353,59,407,545,90,560,599,626,793,17,721,96,544,571,717,732,792,536,864,21,482,223,486,692,785,713,142,779,113,822,448,569,706,801,344,498,88,183,54,853,102,123,484,78,701,34,715,730,606,524,325,621,115,513,92,623,451,676,878,152,124,7,209,296,165,731,84,832,79,660,528,804,644,339,509,617,77,214,491,416,653,138,375,857,270,130,659,112,855,347,301,517,410,589,786,747,97,355,226,255,205,39,13,157,217,38,89,885,426,68,824,526,106,611,24,202,817,605,359,823,118,472,129,276,506,566,609,47,231,35,556,783,336,834,840,745,188,447,379,640,596,141,306,752,806,755,180,51,390,597,768,602,114,19,874,430,743,780,587,819,802,6,111,328,869,449,719,871,675,216,572,797,520,189,873,475,487,208,584,553,521,228,848,510,395,314,122,309,161,144,71,850,629,366,718,412,452,145,815,156,632,495,332,411,663,266,775,371,61,734,140,258,365,610,463,322,523,580,251,280,464,128,670,796,384,870,781,485,682,317,275,643,820,290,577,429,531,91,833,791,222,146,756,378,634,542,444,257,551,497,742,468,117,446,274,465,174,268,323,120,212,125,265,399,689,525,688,821,440,127,338,349,289,11,547,470,691,232,252,83,16,630,728,3,859,453,665,473,827,196,757,41,293,450,554,508,702,711,693,425,64,94,22,370,574,46,249,197,492,394,99,277,882,808,69,836,333,455,42,287,151,297,162,380,776,575,522,31,764,345,101,767,330,374,369,346,342,680,854,826,625,573,50,100,132,414,303,104,175,26,406,439,307,184,591,583,211,677,167,93,598,310,364,95,666,23,462,335,479,483,652,516,311,235,433,762,318,607,657,631,615,694,803,866,204,557,488,565,725,696,741,683,839,386,627,171,759,18,187,402,354,471,835,272,799,326,614,552,624,637,55,292,788,774,664,876,186,436,392,230,489,603
1: 555,14,794,305,52,881,812,108,294,381,686,193,442,512,669,532,503,247,567,362,656,27,154,782,558,594,590,15,291,329,519,264,387,155,201,282,582,53,648,87,135,829,639,761,373,770,818,168,549,376,477,841,518,467,172,133,636,239,862,722,58,256,279,466,334,327,562,158,48,195,651,707,150,877,320,316,259,300,673,534,858,458,476,655,811,543,846,76,541,284,616,851,400,81,739,137,860,647,500,358,107,418,62,538,302,244,548,391,225,667,224,437,44,810,181,687,66,633,352,511,771,772,684,638,740,884,393,360,267,499,281,2,443,784,246,714,613,710,533,540,679,576,807,661,28,800,372,699,738,9,215,662,36,361,377,179,765,872,746,735,350,139,299,49,240,529,233,726,242,595,33,737,121,170,131,672,405,570,192,708,409,234,368,505,70,798,480,496,868,844,550,383,733,419,709,795,685,417,514,398,493,397,4,852,457,435,185,367,490,620,813,535,25,546,57,454,203,143,754,618,254,60,273,164,579,312,723,563,85,600,408,561,789,431,253,530,778,227,315,110,838,271,847,304,340,421,724,507,681,324,668,20,260,456,313,825,415,220,67,278,219,148,10,690,105,285,674,604,703,698,80,658,856,671,173,159,263,82,592,736,401,153,459,883,176,695,126,758,650,559,286,787,245,537,351,608,86,403,628,763,238,865,308,348,744,494,578,119,612,748,751,481,32,619,527,73,749,343,504,441,413,63,236,879,705,74,588,116,250,814,237,136,288,200,460,269,191,831,337,363,700,261,790,773,331,769,221,321,210,149,753,422,880,502,177,777,388,428,241,243,8,501,75,654,867,295,389,809,163,720,828,420,716,564,147,646,385,382,206,341,40,849,469,434,635,727,166,863,29,585,845,190,586,404,319,262,134,218,169,98,649,750,1,43,357,601,356,109,423,478,396,207,248,830,704,816,697,861,539,842,843,641,593,12,461,65,298,729,432,194,30,445,515,805,766,182,424,160,72,875,37,760,103,837,229,283,198,645,5,712,213,678,438,622,56,474,581,45,353,427,568,642,199,178,59,407,545,90,626,560,721,793,599,17,96,544,571,717,732,864,223,792,536,486,21,482,692,713,142,785,113,779,822,448,569,801,706,344,498,88,183,853,54,123,102,484,78,34,701,730,715,606,524,621,325,115,513,623,92,451,676,878,124,152,7,296,209,731,165,84,832,660,528,79,644,339,804,617,77,509,214,491,416,653,138,375,130,659,112,270,857,347,855,301,517,410,589,786,97,747,355,226,13,255,205,39,817,157,38,426,89,68,885,106,824,526,611,605,202,217,24,359,823,472,118,276,566,129,506,47,609,35,231,336,556,834,783,745,840,188,447,379,640,597,141,306,752,806,755,180,19,596,390,51,768,114,602,874,743,430,6,780,819,587,111,802,869,328,449,719,871,675,189,216,520,572,873,797,487,475,208,553,584,521,510,228,848,314,395,122,161,71,309,366,144,718,629,850,412,452,145,815,156,632,332,495,411,663,775,371,266,734,140,61,610,258,365,463,322,523,464,280,580,251,128,670,796,870,384,682,781,485,643,275,317,820,577,290,146,833,91,791,756,429,634,222,378,531,542,551,444,742,117,257,497,468,274,446,465,174,323,268,120,125,212,265,399,689,821,440,688,525,127,338,349,289,547,11,232,470,252,83,691,630,16,728,3,665,859,473,827,508,554,196,453,293,757,41,702,711,425,64,450,693,22,370,46,574,249,197,492,277,99,882,808,394,94,69,455,836,333,42,151,287,297,776,575,380,522,162,31,764,345,767,101,330,374,346,342,369,826,680,854,625,50,573,100,132,175,303,26,104,414,406,439,307,184,583,211,591,677,95,93,310,598,167,364,666,462,23,516,335,483,479,652,235,311,318,762,607,433,741,631,803,694,615,204,866,557,565,488,386,696,657,683,725,627,839,171,759,18,354,187,402,471,614,272,799,835,326,552,624,637,55,292,788,774,664,186,876,436,392,230,489,603
1: 555,14,305,794,52,881,812,108,294,381,686,193,442,567,512,669,532,247,503,362,656,27,154,782,558,594,590,15,291,329,519,264,387,155,201,282,582,53,648,87,135,829,639,761,770,818,168,373,376,549,477,841,467,518,133,172,239,636,334,58,862,256,466,722,279,327,562,158,48,651,150,707,195,320,316,259,458,877,534,300,858,673,655,476,137,811,543,76,541,284,616,739,846,851,400,81,107,860,500,647,358,418,538,62,302,548,244,667,391,437,224,225,772,181,44,687,66,684,771,352,511,633,638,884,740,393,360,499,810,281,267,2,784,443,246,613,710,540,714,679,533,807,661,576,800,28,9,372,36,738,699,215,377,361,179,662,765,350,872,299,735,139,746,49,240,529,33,726,233,121,595,242,405,672,131,170,737,570,192,708,409,234,368,798,505,480,70,496,844,868,733,514,795,709,550,383,685,419,417,397,490,493,457,852,398,185,4,435,367,620,535,25,561,546,813,60,203,454,143,754,618,254,164,273,312,600,85,563,579,723,703,253,789,778,315,530,227,431,110,57,456,304,271,408,340,421,847,838,681,507,724,324,260,20,313,825,415,668,220,148,278,285,219,690,10,105,674,67,698,604,80,856,658,671,159,173,82,263,592,401,153,883,736,176,758,459,695,126,650,286,559,608,245,787,86,351,537,628,865,763,403,751,238,348,578,119,308,494,748,481,744,612,32,619,527,749,73,504,343,413,441,63,236,74,705,879,588,116,814,237,250,136,288,460,269,191,200,337,831,363,700,790,773,753,261,331,221,321,769,149,210,880,422,177,502,428,777,388,241,243,8,501,75,295,654,389,867,720,828,420,809,163,564,716,147,262,385,646,206,341,849,40,469,434,635,727,166,29,863,585,190,586,845,404,319,134,218,382,169,649,750,98,43,357,1,601,356,109,423,396,478,207,248,697,704,816,861,830,539,842,461,593,641,843,12,65,298,729,30,194,805,432,445,766,182,72,424,160,515,875,837,229,760,37,103,622,645,198,213,678,712,438,283,5,56,474,199,581,45,642,353,178,568,427,407,59,545,560,90,626,721,793,599,17,96,571,544,717,864,732,223,792,536,21,482,486,692,713,142,785,113,779,822,569,448,706,801,344,498,88,183,853,54,123,102,484,78,34,701,730,715,606,524,621,325,115,623,513,451,92,676,878,152,124,7,296,209,731,165,84,832,660,528,644,79,339,804,617,509,77,214,491,653,138,112,375,130,659,270,857,416,855,347,517,301,410,589,97,786,747,355,226,13,255,205,157,817,39,38,426,89,885,68,824,106,526,611,202,217,605,24,359,823,472,118,276,566,129,506,47,609,35,231,834,336,556,783,745,840,188,447,379,640,597,141,306,752,19,806,755,180,596,51,390,768,114,602,874,743,430,6,780,819,587,111,802,328,869,449,719,871,675,189,216,572,873,520,475,487,797,208,553,584,521,510,228,848,314,395,122,161,309,71,144,718,366,850,629,452,412,145,332,156,632,815,495,411,663,775,61,266,371,140,734,258,610,365,463,322,523,464,280,251,580,128,670,796,870,384,682,485,643,317,275,577,820,146,781,290,91,833,756,791,429,634,222,531,378,542,551,444,117,497,742,257,468,274,446,465,174,323,268,120,125,212,265,399,689,821,688,525,127,338,349,289,11,440,547,232,470,252,83,691,16,630,728,665,3,859,473,827,508,554,249,196,293,757,41,702,711,425,453,64,693,22,370,46,574,450,197,492,99,277,882,808,94,69,394,455,333,836,42,287,151,297,776,575,380,522,162,764,31,101,345,767,330,374,346,342,369,826,680,625,854,50,573,100,132,175,303,26,104,414,406,439,307,583,184,211,591,310,95,677,93,598,167,666,364,462,23,516,335,483,479,652,311,235,318,607,762,433,657,631,803,694,615,866,204,557,565,488,696,741,386,683,627,725,171,839,759,354,18,187,471,402,614,272,835,799,326,552,624,637,292,788,55,774,664,186,876,436,489,392,230,603
1: 555,14,392,305,881,52,794,108,812,294,686,381,193,567,442,512,669,532,247,503,362,656,27,154,782,558,594,590,15,291,329,519,264,387,155,201,282,582,53,648,87,135,639,829,761,818,168,373,770,376,549,467,841,477,518,133,172,239,334,636,58,862,256,722,466,279,327,562,48,158,150,651,707,320,195,877,458,137,316,259,858,300,673,655,534,476,811,543,76,284,541,739,846,616,851,81,107,860,400,500,647,358,418,244,538,548,62,302,667,391,225,224,181,437,771,44,684,66,772,687,352,511,633,884,638,2,360,740,393,810,267,499,784,281,443,679,246,613,710,807,540,714,576,800,661,533,9,36,372,28,662,377,738,699,215,179,361,765,299,350,872,139,735,240,746,49,33,233,529,595,121,405,726,242,131,672,170,737,570,192,708,409,368,798,234,480,505,70,733,490,844,496,868,795,709,550,383,514,685,417,419,398,397,457,852,493,703,4,185,367,435,535,25,620,546,813,203,454,60,754,143,164,273,312,254,618,85,600,563,57,579,253,723,315,530,431,227,789,681,838,456,778,304,110,271,408,421,561,340,847,724,507,324,20,260,668,415,313,220,825,148,690,278,219,285,67,105,10,674,698,604,80,671,658,856,159,173,82,592,263,401,153,176,758,883,736,459,695,126,286,650,559,751,245,608,628,86,787,351,537,865,403,238,763,494,578,119,481,748,744,348,308,612,619,32,527,749,413,73,504,343,63,879,588,441,116,74,236,705,237,814,250,288,136,460,269,337,831,200,363,191,753,773,261,790,331,700,221,321,769,149,210,880,422,177,777,388,241,502,243,428,8,75,654,295,867,828,501,720,163,389,809,716,564,420,147,385,646,206,341,262,849,40,469,166,434,635,727,29,863,585,190,586,382,404,319,134,845,218,1,98,43,750,649,169,357,356,396,601,109,478,423,207,697,248,816,704,539,830,461,861,641,593,842,843,12,298,729,65,194,30,432,445,805,766,160,37,182,424,72,875,837,515,229,760,103,622,198,283,645,213,5,678,712,438,199,56,474,45,353,581,178,642,568,427,407,59,793,545,90,721,560,626,599,17,96,544,571,717,864,732,223,536,792,21,482,692,486,713,142,785,113,779,448,569,822,706,801,344,498,88,54,183,853,123,102,484,78,34,730,701,606,524,715,621,325,115,623,451,513,92,676,878,124,152,209,296,7,731,165,84,832,528,79,644,660,339,804,617,509,77,214,491,653,112,138,130,375,270,857,659,416,347,855,517,301,410,817,589,786,747,355,226,13,255,205,157,97,39,426,38,89,68,824,885,106,526,611,202,566,24,605,359,118,823,472,217,129,276,506,47,609,35,231,336,556,834,783,745,840,188,447,379,141,597,640,306,752,19,806,755,180,596,51,390,114,768,602,874,430,743,6,780,819,587,802,111,328,869,449,719,871,675,189,873,216,572,475,520,487,797,208,553,584,521,510,228,314,848,395,122,161,309,71,718,144,366,452,629,850,412,145,332,156,632,815,495,411,663,61,775,266,140,371,734,258,610,365,463,322,523,280,464,251,128,580,670,796,870,384,682,485,643,317,275,146,577,820,781,290,756,91,833,791,429,531,634,222,542,378,257,551,117,497,444,742,468,274,446,465,174,323,268,120,125,212,265,399,689,821,688,525,127,338,349,11,289,440,547,232,470,252,83,691,16,630,728,3,665,859,473,827,508,249,757,554,293,196,41,702,711,453,425,693,64,22,370,574,46,450,197,492,99,277,882,69,94,808,394,455,333,836,42,287,151,297,776,575,380,162,522,764,101,345,31,767,330,374,346,342,369,826,625,680,854,573,50,100,132,26,303,175,439,104,406,414,583,307,184,211,310,95,591,677,93,598,167,666,364,23,516,462,479,483,335,652,311,235,318,607,762,631,657,433,803,615,694,866,204,565,557,696,741,488,386,683,627,839,171,725,759,354,18,187,471,402,614,272,835,326,799,552,624,637,292,788,55,664,774,186,876,436,489,230,603
1: 555,14,392,794,305,52,881,108,812,294,686,381,567,193,669,442,512,532,247,503,362,656,782,27,154,558,594,590,15,291,329,519,387,264,155,582,201,282,648,87,53,135,829,639,761,770,168,818,373,376,841,467,549,518,477,133,172,334,239,636,58,722,862,256,466,279,562,327,150,158,48,458,651,707,195,320,137,259,316,877,858,300,655,534,673,476,811,543,739,846,76,541,284,860,616,851,81,107,400,358,500,647,418,244,538,62,302,667,548,391,224,181,225,437,771,684,772,44,687,511,352,2,66,638,884,740,360,633,281,393,267,810,499,784,443,807,246,576,679,613,800,540,714,661,710,533,9,36,377,738,372,662,699,28,179,765,215,361,350,872,746,735,139,299,240,49,233,529,121,405,595,726,242,737,672,131,170,570,708,192,409,798,480,368,234,505,703,733,496,844,70,868,709,795,550,383,490,685,417,514,185,397,457,852,493,398,419,4,435,367,25,620,535,813,60,546,754,454,57,203,143,312,273,618,254,85,600,33,164,563,253,579,723,227,315,681,838,789,530,456,431,778,304,421,110,561,271,408,340,847,260,724,20,507,324,668,313,415,825,220,148,219,690,285,67,105,80,698,674,278,10,671,604,658,856,159,173,82,592,263,401,758,153,176,736,883,459,695,126,286,650,559,751,628,608,537,245,86,351,787,865,494,578,119,238,403,763,481,748,413,744,348,308,612,32,527,619,73,504,74,749,63,879,588,343,441,116,236,705,237,250,814,288,136,337,460,269,191,831,200,753,363,261,331,773,790,700,321,221,769,149,210,880,422,177,502,388,777,241,262,8,243,75,295,654,828,428,720,867,163,389,716,809,501,564,147,341,420,385,646,206,849,40,434,469,166,635,727,29,863,586,845,190,585,404,382,218,319,134,43,98,1,750,649,169,396,357,601,356,423,478,109,248,207,539,816,697,830,704,641,861,593,842,298,461,843,12,65,729,194,30,37,445,432,805,766,160,182,424,875,72,515,837,229,760,622,103,283,198,645,213,5,678,199,712,56,438,474,45,353,581,178,642,407,568,427,59,793,599,90,721,560,545,626,96,17,717,571,544,864,732,223,792,536,21,482,692,486,713,142,785,113,779,569,448,822,706,801,344,498,88,183,54,853,123,102,484,34,78,701,730,524,606,715,621,325,115,623,451,513,92,676,878,152,124,7,296,209,731,165,84,832,528,644,79,660,339,804,617,509,77,214,491,653,112,130,375,857,270,138,659,416,517,855,347,301,410,817,589,786,747,355,226,13,255,205,97,157,426,38,824,39,89,68,885,106,611,526,202,566,24,605,359,118,472,823,129,217,276,506,47,609,35,231,336,556,834,783,840,745,188,447,379,597,141,640,306,19,752,806,755,180,596,114,51,768,390,874,602,430,743,6,780,819,587,111,802,328,449,719,869,871,675,572,189,873,475,216,520,487,797,208,553,584,521,228,510,314,848,395,122,161,309,718,71,144,452,366,629,850,412,145,156,632,332,495,815,411,663,775,61,371,140,266,734,258,610,365,523,463,322,464,251,128,580,670,796,384,280,870,682,485,643,317,146,275,781,577,820,756,290,91,833,429,531,791,222,634,257,542,378,551,117,497,742,444,468,274,446,465,174,323,268,120,212,125,265,399,689,821,688,525,11,338,127,349,289,547,470,232,252,83,691,630,16,728,3,440,665,859,473,827,757,249,508,293,554,196,41,702,711,453,425,693,64,22,370,574,46,450,197,492,99,69,277,882,94,394,808,455,333,836,42,151,287,297,776,162,575,345,764,380,522,101,31,767,330,374,342,369,826,346,625,680,854,100,573,132,50,439,26,406,303,104,175,414,583,307,184,310,211,95,591,677,167,598,93,666,364,516,23,462,479,335,483,652,311,235,607,318,762,631,657,433,803,694,866,204,615,565,557,696,741,488,683,386,627,839,171,725,759,471,18,354,187,402,614,272,326,835,799,552,624,637,788,292,186,664,55,774,876,436,230,489,603
1: 555,14,392,603,305,794,881,52,812,567,108,294,686,381,669,193,442,512,656,532,247,503,362,27,782,154,590,558,594,291,15,519,329,264,387,155,87,201,739,582,648,53,639,135,829,168,770,841,761,818,334,376,373,172,477,518,467,549,133,58,636,862,722,239,466,279,256,150,327,562,48,158,707,858,195,651,458,320,316,811,259,300,877,655,476,673,543,282,137,541,616,76,851,534,284,860,81,107,358,418,500,647,400,244,538,62,302,684,181,437,846,391,687,281,44,667,225,771,548,224,66,511,352,638,633,267,393,772,884,360,2,443,740,784,246,499,800,807,679,540,576,613,533,661,710,9,714,662,28,36,372,361,810,215,738,179,699,350,765,139,735,377,240,595,872,746,49,405,299,529,233,170,121,726,570,242,672,192,708,409,798,737,131,480,234,368,703,844,496,70,868,795,733,505,419,550,383,709,685,561,417,852,185,490,457,397,435,398,514,493,4,367,25,535,85,546,620,813,273,143,60,203,454,312,33,57,254,253,579,618,563,600,681,315,754,838,227,304,530,723,110,789,164,271,778,431,847,340,408,324,260,668,456,421,220,690,825,20,67,507,415,724,313,219,148,80,698,671,105,674,285,604,278,10,856,658,159,173,286,401,82,883,263,592,153,176,758,459,736,695,608,628,245,126,537,650,86,351,751,578,119,559,494,787,238,403,865,413,763,612,481,348,748,308,32,744,63,619,527,74,504,879,749,588,343,441,705,73,236,116,250,753,337,237,288,814,136,831,363,460,269,700,773,200,221,790,261,191,422,149,331,769,210,321,777,880,262,8,388,177,241,502,828,295,654,809,389,243,75,420,867,163,720,716,501,564,341,646,385,428,147,849,635,206,40,434,863,727,469,29,190,166,845,586,585,319,404,382,134,98,649,169,750,43,218,423,1,601,396,109,357,356,697,207,478,248,539,298,461,830,816,641,704,593,843,729,861,12,842,65,515,194,30,432,622,805,160,766,182,445,875,37,760,72,837,424,283,103,229,198,407,645,213,678,712,199,5,56,438,353,45,581,474,793,568,178,642,721,560,59,427,96,545,90,599,626,717,17,544,571,864,732,223,792,536,113,21,713,482,486,692,785,569,779,448,822,706,801,142,344,498,88,853,183,54,102,123,34,484,730,78,701,524,606,715,621,325,623,115,451,92,513,676,878,152,124,296,7,209,731,165,84,832,528,644,660,79,617,339,804,509,77,214,491,653,130,112,270,375,857,416,659,138,517,347,301,855,566,410,589,786,355,747,13,226,205,255,97,24,157,89,426,38,824,68,106,39,202,817,885,526,611,605,359,472,823,118,276,217,129,506,47,609,556,336,35,834,840,231,783,188,745,447,379,640,596,19,141,306,752,755,806,597,180,114,390,768,51,6,602,874,430,743,819,780,111,587,802,449,487,328,869,871,675,189,873,216,475,520,719,572,208,797,553,584,521,510,228,848,314,122,161,309,395,718,629,71,144,366,452,145,412,850,332,156,632,495,815,663,411,371,775,266,140,61,734,610,258,365,523,322,464,463,251,670,128,580,796,280,682,870,384,485,643,317,756,781,577,275,146,290,833,820,429,91,791,531,634,222,257,497,742,378,542,468,465,274,444,551,446,323,174,268,120,125,212,265,399,689,117,821,688,127,525,338,349,11,289,547,470,232,252,691,83,440,3,16,630,728,665,859,827,249,473,508,554,41,757,293,196,702,453,425,711,693,64,22,370,450,46,574,197,492,808,277,99,94,394,69,882,455,333,836,42,776,151,287,297,162,764,380,575,345,522,330,374,31,767,101,369,342,826,346,625,100,854,573,680,439,50,132,406,26,175,104,95,303,414,310,307,184,583,211,591,677,167,93,598,666,516,364,462,23,479,483,335,318,235,652,311,607,762,803,657,631,433,866,694,204,615,565,557,696,741,488,725,839,627,683,171,759,386,354,18,471,402,187,614,835,272,326,552,799,624,637,788,664,186,292,774,55,876,436,489,230
1: 555,14,392,794,567,305,881,812,52,108,686,294,381,669,193,442,512,656,532,247,503,362,27,782,291,154,558,590,594,15,519,329,264,155,387,87,582,201,648,135,53,639,829,770,761,818,841,168,376,373,172,477,334,518,549,133,58,636,467,239,862,466,256,279,327,48,562,707,158,458,858,651,195,316,320,259,150,300,877,655,811,476,543,673,739,722,541,76,616,860,137,107,851,81,284,281,418,358,500,400,647,538,62,534,244,684,667,302,846,44,687,391,181,225,771,437,548,224,66,352,267,511,638,633,393,772,884,740,360,443,2,784,246,499,807,800,679,540,576,661,533,613,662,710,9,714,36,28,372,810,215,361,350,738,699,240,179,282,377,765,595,139,735,872,299,405,746,49,529,233,242,170,121,726,570,672,192,703,737,708,409,131,234,798,368,480,795,844,868,496,419,70,733,505,550,383,709,685,490,852,185,514,417,435,397,398,561,457,493,535,4,85,367,25,838,546,620,60,813,273,203,454,33,164,312,143,681,254,579,253,618,563,754,304,600,227,530,315,57,723,789,110,431,340,271,778,408,671,260,324,847,456,421,690,67,507,20,220,313,724,825,415,668,80,698,219,148,105,285,278,674,604,856,10,658,159,758,173,883,82,401,286,592,153,263,176,459,736,695,608,578,628,537,126,245,650,86,787,494,413,751,351,559,865,763,612,403,748,238,481,308,32,119,348,744,63,74,527,504,879,343,619,236,73,116,705,749,441,588,753,250,337,288,237,814,136,831,363,773,700,460,191,269,200,422,790,221,210,8,149,262,261,331,769,321,777,880,388,828,177,241,502,809,295,420,654,243,75,389,501,867,720,163,716,428,564,646,341,147,385,434,849,635,40,206,382,863,727,469,190,166,29,845,586,585,134,319,404,43,169,98,750,649,396,423,1,218,109,697,601,356,207,357,298,461,478,248,539,816,593,830,729,704,641,843,842,861,515,12,65,37,30,194,432,805,622,160,766,182,760,407,445,72,424,875,837,283,229,103,198,645,213,199,678,712,353,5,56,438,581,793,45,474,568,178,721,642,427,59,560,599,545,90,626,96,17,717,544,571,864,732,223,792,536,21,713,113,482,486,692,785,569,448,779,822,706,142,801,344,498,88,853,183,54,123,102,34,484,730,78,701,524,606,715,621,325,623,115,451,92,513,676,878,152,296,124,7,209,731,165,84,832,528,660,79,617,339,804,509,214,644,77,491,112,653,130,857,270,517,416,138,375,659,347,301,855,566,410,589,786,355,747,13,24,226,97,205,255,89,824,157,38,426,39,106,202,817,68,885,526,611,605,359,472,823,118,217,276,129,506,47,609,336,556,35,834,840,231,783,188,745,447,19,596,379,640,141,306,752,755,806,597,180,114,6,390,768,51,874,602,430,743,819,780,111,587,449,802,487,328,869,871,675,873,189,475,216,719,520,572,208,797,553,584,521,510,228,848,314,122,161,395,718,309,71,629,144,366,452,145,412,850,156,632,332,495,815,411,663,371,61,775,610,734,266,258,365,523,322,140,464,463,670,251,580,128,796,280,682,870,384,485,643,146,275,756,317,577,290,833,820,429,791,781,91,634,222,497,742,531,542,378,257,468,465,274,551,446,444,174,268,120,125,212,265,399,323,689,688,821,525,338,127,11,349,117,547,289,470,232,252,691,440,83,3,16,630,728,665,859,827,249,473,508,554,41,757,293,196,702,425,711,64,693,22,453,370,574,46,197,492,808,277,450,99,394,69,882,455,333,94,836,42,776,151,287,162,297,764,380,575,522,345,374,330,767,31,101,369,342,100,346,826,625,854,573,680,439,406,50,132,26,175,104,95,303,414,310,307,583,184,211,591,167,677,598,93,666,516,364,23,318,462,483,335,479,235,652,311,607,803,762,657,631,433,694,866,204,615,565,557,696,741,488,725,627,386,171,839,759,683,18,354,471,187,402,614,272,326,552,835,799,624,637,788,664,292,186,774,55,876,436,489,230,603
1: 555,392,794,305,881,812,52,108,686,294,381,669,193,442,512,656,532,14,247,503,362,782,27,291,154,558,590,594,15,519,264,329,387,155,87,201,582,648,135,53,639,770,761,829,841,818,168,376,373,172,477,518,549,133,58,636,239,862,466,334,256,279,281,562,327,48,707,158,467,458,651,858,195,316,150,320,300,259,476,655,877,739,137,811,673,543,541,76,722,860,616,284,107,81,851,418,400,500,647,358,534,538,62,667,244,684,846,302,44,687,181,391,225,771,548,437,224,633,267,511,638,66,352,772,740,393,2,884,360,443,246,807,800,499,784,679,540,576,661,613,533,710,662,36,9,714,377,372,28,179,215,361,282,810,350,699,240,738,765,595,139,735,299,405,746,872,49,529,703,233,170,242,121,570,726,192,672,737,708,409,131,798,234,480,795,368,419,844,868,70,496,733,550,505,709,490,383,685,514,852,185,435,561,397,457,398,417,535,493,4,85,57,367,813,25,620,546,60,33,164,273,454,312,203,143,838,681,253,579,254,618,563,304,600,530,723,315,754,227,431,408,671,789,110,340,271,260,778,67,456,690,324,847,421,313,507,220,668,20,80,724,415,825,758,698,674,219,278,148,105,285,10,604,658,159,856,883,286,401,82,153,263,592,176,459,173,736,537,695,608,578,650,763,126,245,494,413,86,751,351,787,559,628,865,612,403,238,748,308,348,32,481,119,744,63,74,527,879,619,504,343,73,116,705,236,588,749,441,753,250,237,337,288,136,814,831,773,262,363,460,700,269,200,422,790,210,221,191,8,149,261,331,769,321,777,828,177,880,388,241,420,502,809,654,295,75,501,243,389,867,716,720,428,163,564,646,147,341,382,385,849,635,40,206,434,863,469,727,29,190,166,845,586,585,319,134,43,404,169,396,750,98,423,109,649,1,697,218,356,207,601,298,461,357,478,248,539,729,816,593,704,641,842,515,861,843,830,65,37,12,30,194,432,622,805,160,766,182,407,445,837,760,424,72,875,283,198,103,229,645,213,678,5,353,712,56,438,199,581,45,474,568,721,642,427,178,793,59,599,560,545,90,626,717,17,96,544,864,571,732,223,792,536,713,113,486,21,482,692,785,569,448,779,822,706,34,801,344,498,88,853,183,54,123,102,142,730,484,78,701,524,606,715,621,325,623,115,451,92,513,676,878,152,296,124,7,209,731,165,84,832,528,660,79,617,339,804,214,644,509,77,491,112,517,130,653,857,416,270,138,375,659,347,301,855,566,567,410,786,589,355,747,24,13,817,226,205,255,824,89,426,157,38,39,68,202,97,106,885,526,611,605,359,472,823,118,217,129,276,506,609,47,336,556,35,840,231,834,783,19,447,745,188,596,379,640,141,306,752,755,806,819,180,114,6,390,768,51,874,602,430,597,743,111,780,587,802,449,487,328,869,871,675,873,475,189,216,719,520,572,797,208,553,584,521,510,228,848,314,122,71,161,718,309,395,144,629,366,452,145,850,412,156,332,495,815,411,663,371,775,61,632,610,266,734,258,365,523,140,322,463,464,251,670,796,580,128,280,682,870,384,485,643,146,756,275,317,577,290,833,429,91,781,820,634,791,222,497,257,542,742,378,468,465,274,174,531,446,444,551,268,120,212,125,265,399,323,689,688,821,525,338,11,127,349,117,547,289,232,470,252,249,691,3,83,16,728,630,859,665,440,827,473,508,41,554,293,757,702,196,425,711,693,64,453,22,370,574,46,197,492,808,94,277,99,394,455,882,69,333,450,836,42,776,151,297,764,162,287,380,345,575,522,374,767,330,31,101,369,100,342,346,826,625,854,573,680,406,439,132,50,26,175,583,104,303,310,414,95,307,184,211,167,591,677,598,666,93,364,516,462,23,335,318,483,235,652,479,607,762,657,311,803,631,866,694,433,204,615,565,741,557,696,488,386,683,627,171,839,759,725,471,354,18,187,402,614,272,326,552,799,835,624,788,637,186,292,664,774,55,876,489,436,230,603
1: 555,392,794,812,881,305,52,108,686,294,381,669,193,442,656,532,512,14,247,503,782,362,27,291,154,558,590,594,15,519,264,329,387,155,87,201,648,135,582,53,639,770,829,761,168,841,818,376,373,172,518,477,549,133,58,281,239,636,862,334,466,256,279,707,327,562,48,467,158,858,458,651,195,150,316,320,259,476,655,300,739,722,811,543,877,673,541,137,860,76,284,107,81,616,851,418,500,400,647,358,534,538,244,62,846,667,302,684,181,44,687,548,391,771,225,437,224,267,633,2,772,511,66,638,352,740,393,884,360,800,443,807,499,246,784,576,679,377,540,661,9,533,662,36,613,710,714,372,28,215,699,282,810,179,361,350,240,765,299,735,738,139,595,405,746,49,872,703,233,529,242,170,570,121,726,192,737,708,672,131,798,409,234,795,368,419,480,844,70,733,868,496,550,490,505,685,383,709,514,185,852,561,435,398,397,493,457,535,57,417,367,4,813,33,838,546,620,60,143,25,85,681,164,273,454,203,312,253,579,254,618,563,304,227,600,530,723,671,315,754,431,408,789,340,271,110,67,690,260,456,778,847,421,324,668,20,313,220,507,80,825,415,758,724,698,285,219,278,148,674,286,105,10,604,658,159,856,883,401,82,176,263,459,173,592,736,153,608,537,578,695,245,650,126,494,413,763,86,751,351,787,559,628,865,612,403,748,238,308,32,481,119,348,744,63,74,879,527,619,504,753,73,343,588,749,705,116,441,236,237,250,337,288,136,814,262,831,700,773,363,269,422,460,191,200,790,331,210,221,8,261,149,828,769,880,177,777,321,388,420,241,295,654,502,75,501,809,243,389,716,382,720,867,163,564,646,147,434,341,385,849,635,40,428,206,469,863,727,190,29,845,166,586,43,585,134,404,319,396,169,750,98,649,423,109,697,207,1,218,357,298,461,356,601,478,248,729,539,593,816,704,515,641,843,861,842,830,65,12,37,194,30,432,805,160,622,182,837,760,766,445,424,875,407,72,103,229,283,645,198,213,678,199,5,712,353,56,438,581,45,474,721,568,427,642,178,793,59,599,545,90,560,626,717,17,96,544,571,864,732,536,223,792,713,113,486,21,482,692,785,569,779,448,822,706,34,801,344,498,88,853,183,54,123,730,142,102,484,78,701,524,715,606,621,325,623,115,451,92,513,676,878,296,152,124,7,209,731,165,84,832,528,660,79,339,617,804,644,214,509,112,77,491,517,130,653,416,857,270,138,659,375,347,301,566,855,567,410,589,786,24,355,747,13,817,226,205,255,824,89,426,38,157,68,106,202,97,885,526,39,611,605,359,472,823,118,336,129,276,609,47,506,217,556,35,840,231,19,834,783,745,188,447,596,379,640,141,306,752,755,806,819,180,6,114,51,390,768,874,602,430,597,743,111,780,802,587,449,487,328,869,871,675,475,873,189,572,719,216,520,797,208,584,553,521,510,228,314,848,122,71,718,161,309,144,395,629,452,366,145,850,412,156,332,495,775,815,411,663,371,61,632,610,734,266,258,365,523,140,463,322,464,251,670,796,280,580,128,682,870,384,146,485,756,643,317,275,577,290,833,429,820,91,634,791,222,781,257,497,542,742,465,378,468,531,274,174,446,444,551,268,120,212,125,323,265,399,689,821,688,11,525,338,440,349,127,547,289,232,117,470,252,3,83,691,16,728,630,859,249,665,827,41,473,508,554,757,293,702,196,425,711,693,64,94,22,370,574,46,197,453,492,808,394,99,277,69,882,450,455,333,836,42,764,287,151,776,297,345,380,162,575,374,522,31,767,330,101,369,100,342,346,826,625,439,573,854,406,680,132,50,26,175,104,310,303,414,95,307,184,211,583,591,677,598,666,93,167,364,23,462,335,318,483,235,516,652,311,607,762,657,479,803,866,631,694,433,204,615,565,696,741,488,557,683,839,627,386,171,759,725,471,354,18,187,402,272,326,552,614,799,835,788,624,637,186,292,664,774,55,876,489,436,230,603
1: 555,552,392,230,603,794,305,881,812,108,52,686,294,381,669,193,442,247,532,512,14,656,503,782,362,27,291,558,154,590,594,15,519,387,329,264,87,155,201,648,135,582,53,639,770,829,761,841,168,373,376,818,549,477,172,281,133,518,58,636,239,862,334,466,256,279,858,327,158,467,562,48,707,458,651,150,316,195,320,476,259,739,722,300,655,543,811,877,137,673,541,284,107,860,76,81,851,616,400,418,500,647,534,358,538,244,846,62,684,181,687,44,302,667,548,771,391,225,437,224,2,633,772,267,66,638,352,511,740,393,800,884,360,246,807,499,443,679,377,576,784,540,661,9,533,662,36,714,710,613,179,28,282,299,372,361,215,765,810,240,699,350,595,738,735,139,703,405,746,49,872,233,529,570,170,726,242,121,798,737,192,672,131,708,409,419,234,795,480,368,844,490,70,868,733,496,550,505,383,514,685,709,561,185,852,435,535,57,493,398,417,457,397,367,4,33,164,813,85,60,25,681,838,620,143,546,273,454,203,671,253,579,312,254,618,754,600,563,304,227,723,530,431,315,408,789,340,690,271,110,260,847,778,456,20,67,324,421,80,507,220,313,668,724,825,415,698,285,219,148,758,674,105,278,10,286,604,856,658,159,883,401,82,176,263,153,173,592,736,459,578,608,537,695,126,245,650,413,494,763,751,86,787,559,612,865,403,351,628,308,238,748,32,753,119,63,348,481,744,588,74,879,527,504,619,343,73,749,705,441,116,262,236,250,288,337,237,136,700,831,363,814,773,269,422,460,790,200,331,8,261,221,828,191,210,880,149,769,777,321,177,420,241,388,809,295,501,654,502,75,716,389,243,382,720,867,163,564,845,646,147,385,849,341,434,40,635,206,428,863,190,469,29,166,727,43,586,134,585,404,319,396,750,697,207,98,169,423,109,649,1,298,461,218,601,357,356,478,248,593,539,729,816,861,843,704,842,515,641,830,65,12,194,432,30,37,805,424,160,766,182,622,837,445,760,875,72,407,103,229,645,198,213,678,5,283,712,56,438,721,199,581,45,474,568,353,427,642,560,178,59,599,793,545,90,717,626,17,96,544,571,864,732,113,536,792,713,223,692,486,21,482,785,569,779,448,706,822,34,801,344,88,498,853,183,54,123,142,102,730,484,78,701,524,715,606,621,623,325,451,115,676,513,92,878,296,152,124,209,7,731,165,84,832,528,660,79,339,617,804,644,214,112,509,77,517,491,130,416,653,857,270,138,375,659,301,347,566,855,567,410,786,589,24,355,747,13,817,226,205,255,824,426,89,38,157,68,106,202,97,885,605,526,611,39,359,472,823,118,336,129,276,609,47,506,217,556,840,19,35,834,231,783,745,447,596,188,379,640,141,306,752,755,180,819,806,6,114,51,390,768,874,602,597,430,743,780,111,587,487,802,449,328,869,871,475,675,873,719,189,572,216,520,797,208,584,553,521,510,228,122,71,848,314,161,144,395,309,452,629,366,145,156,718,412,850,495,332,371,775,815,632,411,61,663,610,734,266,258,140,365,523,463,464,322,251,670,280,796,580,682,128,870,146,384,756,485,643,317,275,577,290,429,833,820,91,634,791,257,781,222,542,497,742,465,378,274,468,531,174,446,551,444,268,212,120,125,440,399,265,689,821,688,11,249,525,338,349,127,547,289,323,232,470,252,3,691,728,83,16,630,117,859,665,827,41,473,554,508,757,293,702,196,425,711,693,64,94,22,370,574,46,197,453,492,808,394,277,69,99,882,450,455,333,836,42,764,162,287,776,345,151,297,380,575,100,522,767,330,31,374,369,101,346,342,826,625,573,439,406,854,132,680,50,26,104,175,310,303,414,95,307,184,211,591,598,677,666,93,583,364,167,335,23,462,311,483,235,318,652,607,762,657,516,479,803,866,631,694,204,433,615,565,741,488,696,557,386,627,683,171,839,759,471,725,354,18,187,402,272,326,614,799,835,788,624,637,186,292,664,774,55,876,489,436
1: 555,552,392,230,603,794,305,881,686,108,812,52,294,381,669,193,442,247,14,656,532,512,503,782,362,291,27,154,558,590,594,15,387,155,329,264,519,87,201,639,53,648,135,281,841,770,582,829,376,761,818,172,373,549,58,133,168,477,518,862,636,279,334,858,466,137,239,256,327,707,48,562,467,651,158,316,458,811,739,722,320,195,259,655,150,860,543,877,673,81,300,284,541,616,76,476,851,500,107,647,534,418,400,358,846,244,687,62,538,548,181,44,684,302,391,800,771,66,437,225,667,267,633,2,638,772,740,224,352,393,884,246,703,443,360,511,576,377,807,540,499,679,533,784,282,661,662,36,613,9,372,299,361,179,714,699,28,710,240,215,810,735,139,595,765,405,746,350,233,738,872,49,170,529,570,726,672,192,737,242,121,409,798,131,708,234,480,844,419,795,496,70,868,368,733,490,550,505,383,685,514,852,709,185,435,561,397,493,535,398,417,457,33,164,367,60,4,813,143,85,620,25,546,273,671,681,579,304,431,454,254,530,563,57,253,618,203,312,227,754,723,271,408,778,315,847,600,690,789,20,67,340,324,260,110,456,220,421,838,313,825,80,285,698,415,724,668,674,507,219,278,286,148,401,856,105,604,658,159,10,883,82,459,608,176,153,578,758,263,736,592,173,245,537,413,126,695,494,753,763,650,86,787,612,628,751,351,63,403,559,119,865,32,748,238,348,619,308,879,744,481,74,588,527,343,73,504,262,116,705,236,441,749,250,288,700,363,136,814,237,773,790,831,337,422,269,828,191,460,8,331,200,261,880,769,221,210,420,149,295,321,777,502,388,501,177,241,809,382,389,654,75,716,43,720,867,243,163,646,428,564,385,147,849,434,40,341,863,727,635,845,190,206,166,29,469,586,319,134,585,404,207,169,423,649,298,697,356,750,98,601,218,396,109,357,1,248,461,478,539,816,593,843,65,704,515,641,861,830,842,12,432,194,805,30,729,766,760,837,445,160,424,37,182,72,103,229,407,875,645,213,622,198,678,712,5,721,283,56,45,438,353,474,581,568,199,427,793,642,59,178,717,599,545,96,90,626,560,17,544,571,864,113,713,732,223,486,792,692,21,536,482,569,785,779,448,706,34,822,801,344,88,498,853,54,183,142,123,730,78,484,102,524,701,606,715,623,621,451,325,115,513,676,92,878,152,7,124,209,731,296,165,832,528,84,79,660,617,339,644,804,214,112,517,509,77,491,130,416,857,653,270,138,659,375,301,566,347,567,855,24,589,410,786,355,747,97,13,226,824,255,205,89,38,426,157,106,202,817,885,611,526,68,605,39,472,823,336,276,359,118,129,47,217,840,19,609,556,506,834,35,783,231,596,745,188,447,640,379,141,752,819,306,180,755,114,6,806,51,390,768,597,874,743,602,430,780,111,487,587,449,802,871,328,869,675,719,873,475,189,216,520,208,797,553,572,584,521,510,228,122,848,314,161,71,144,452,629,309,395,366,156,718,145,332,412,495,850,663,815,632,371,411,775,61,610,734,266,258,463,365,523,322,464,140,251,670,796,682,580,870,280,146,756,384,128,643,275,485,317,577,833,290,429,91,820,634,531,791,222,257,542,465,742,497,174,274,440,378,468,446,551,444,268,212,120,781,125,399,265,821,689,249,688,338,11,525,349,127,547,289,323,232,252,470,728,691,3,16,83,117,630,859,665,41,508,554,827,473,757,196,293,702,425,64,94,711,693,22,370,574,46,450,197,492,808,277,455,99,453,882,69,394,333,836,42,162,151,776,380,287,345,297,764,575,522,31,374,330,101,767,342,346,100,369,625,406,826,439,854,573,26,132,50,680,175,310,104,303,414,307,184,95,211,591,677,598,93,583,666,167,364,23,462,318,335,483,235,803,652,607,311,657,516,762,479,631,866,694,204,433,615,565,696,488,557,627,386,683,171,759,725,839,471,18,354,272,187,614,326,741,402,799,788,624,835,186,637,664,292,774,55,876,489,436
1: 555,552,392,230,794,603,305,881,812,108,686,52,294,381,669,193,291,442,14,247,532,512,656,503,782,362,27,154,558,590,15,594,387,264,329,155,519,87,201,53,281,135,648,639,841,770,829,761,376,582,818,172,373,549,133,168,477,58,518,862,150,636,279,858,334,466,256,239,327,707,48,467,562,158,458,651,739,137,316,811,320,195,259,655,543,300,877,81,722,860,284,673,541,476,76,616,846,851,500,107,647,418,534,358,400,687,244,538,548,62,181,44,302,772,771,66,684,391,667,437,225,267,633,800,2,638,740,224,352,393,443,703,246,884,511,360,576,377,540,499,679,807,662,282,36,533,661,784,9,699,613,372,361,179,714,595,240,28,710,299,405,215,139,735,765,746,810,350,233,738,49,170,872,529,570,726,121,192,737,242,672,490,409,708,234,844,798,480,131,795,496,70,368,868,733,419,550,505,383,514,685,709,852,185,561,435,493,397,535,398,457,33,164,417,60,367,85,4,813,25,143,620,273,671,454,546,579,681,304,530,563,618,254,203,253,431,57,227,778,312,315,754,789,847,723,271,408,67,600,20,260,340,110,690,324,456,220,838,421,825,313,80,415,285,668,674,698,724,507,286,401,219,278,148,856,105,604,883,658,159,10,82,608,578,758,459,153,176,263,592,173,413,736,245,753,537,126,494,695,763,650,86,787,119,612,351,63,628,559,751,403,32,865,619,308,348,748,238,879,262,481,744,74,73,343,588,504,527,116,236,749,705,441,250,288,136,700,363,814,773,790,831,337,828,237,422,269,8,460,200,210,331,880,191,261,769,221,149,295,321,777,177,241,502,388,809,501,654,389,75,420,720,716,867,243,163,646,564,147,385,849,40,382,206,341,863,43,190,635,727,166,428,586,469,29,319,434,585,134,169,404,649,298,845,207,423,356,750,109,697,218,98,601,1,357,396,248,478,461,539,816,593,843,65,704,861,842,830,641,12,515,432,194,30,729,805,837,766,160,37,760,182,445,424,72,622,875,229,103,407,213,645,198,721,353,678,5,712,56,283,45,438,474,581,199,568,793,427,642,717,59,178,96,599,545,560,90,626,544,17,571,864,113,713,732,486,223,792,692,21,536,482,785,569,779,448,706,34,801,822,344,88,498,853,54,183,142,730,123,78,484,102,524,701,606,623,715,621,451,325,513,115,676,92,152,878,7,124,209,296,731,165,832,528,84,79,660,617,644,339,214,517,804,112,77,509,491,416,130,857,653,138,270,659,375,566,301,347,567,855,24,589,786,410,355,747,817,13,226,824,255,89,205,38,426,157,202,97,106,611,885,526,68,605,39,472,336,359,823,276,118,129,217,47,840,609,19,556,506,834,35,783,596,231,447,745,188,640,379,141,752,597,306,180,114,6,755,806,51,390,768,819,874,602,743,430,780,487,111,587,449,871,802,328,869,719,675,475,189,873,216,520,797,208,572,553,584,521,510,228,122,848,314,161,71,144,452,629,309,395,156,718,366,145,412,332,495,850,371,775,411,815,663,61,610,734,632,266,258,463,365,523,322,140,464,251,670,796,146,682,580,280,756,870,128,384,643,275,485,317,577,833,290,429,91,820,634,440,222,791,542,257,465,742,497,174,274,531,378,468,446,551,444,268,212,120,781,125,399,265,821,689,249,11,338,688,525,349,127,547,323,289,232,252,470,691,728,3,83,16,117,630,859,665,41,827,508,554,473,757,196,702,293,425,711,94,64,22,693,370,574,46,450,197,492,808,277,455,99,453,882,394,69,333,162,836,42,380,151,776,287,764,345,297,575,522,100,31,330,767,342,101,374,346,369,625,406,826,439,854,573,132,26,50,680,175,310,104,303,414,307,184,95,211,591,677,598,93,583,167,666,364,23,462,318,335,483,235,803,311,652,607,762,516,479,631,866,694,204,433,615,565,696,657,488,557,627,386,683,171,725,759,839,471,354,18,187,402,272,326,741,799,614,788,624,835,637,186,664,292,774,55,489,876,436
1: 555,552,392,230,603,794,305,881,686,812,108,52,294,381,669,193,291,442,14,247,532,512,656,503,362,27,782,154,558,590,15,594,387,264,87,329,155,281,519,201,53,135,648,639,829,841,770,582,761,376,818,172,168,373,549,58,133,477,150,862,518,279,636,334,858,466,256,239,327,137,707,48,562,158,458,739,467,651,316,811,195,259,320,877,655,543,300,722,81,860,284,673,541,851,76,534,616,476,107,500,647,846,400,418,358,244,687,548,538,62,771,44,302,703,66,181,391,684,667,225,2,633,437,772,224,638,740,267,352,800,393,246,443,360,511,884,377,576,499,540,807,679,36,282,533,662,661,784,613,9,699,595,361,372,714,179,299,240,28,710,215,735,765,405,139,810,746,233,350,872,738,49,170,529,570,726,121,192,737,242,490,672,409,708,234,480,131,798,844,70,496,795,368,419,868,733,383,550,514,505,685,852,709,185,561,435,535,493,33,164,398,397,60,457,417,367,85,4,143,813,57,273,25,681,454,546,620,579,304,431,563,530,253,618,671,254,203,227,312,315,778,723,271,789,408,838,600,754,847,110,20,340,690,67,260,456,324,220,421,825,80,415,668,674,313,698,724,285,507,286,219,401,278,148,856,883,105,604,753,608,10,159,578,658,459,82,153,736,263,413,176,592,245,173,537,126,695,763,758,494,86,650,787,612,559,351,119,63,403,748,32,751,262,865,308,348,238,879,628,74,744,481,343,619,504,527,73,236,116,588,749,705,441,250,288,700,136,363,790,831,828,237,814,773,337,422,8,269,331,460,191,200,210,769,261,880,221,149,295,321,777,177,241,502,388,809,654,389,420,75,720,716,243,867,501,163,646,564,147,385,849,382,40,206,43,341,190,863,727,428,635,166,586,469,29,319,845,585,134,298,434,404,169,649,207,423,218,356,697,98,750,109,601,357,1,396,248,461,478,816,539,593,65,843,704,861,830,641,12,515,432,842,194,729,805,30,837,766,622,160,760,182,445,407,875,424,229,72,103,37,213,645,721,283,198,678,5,56,712,353,45,438,581,199,474,568,793,427,642,717,59,545,96,599,178,560,90,626,544,17,571,864,113,713,732,223,486,792,536,692,21,785,482,569,779,448,706,34,801,822,344,88,498,853,54,183,142,730,123,78,102,484,524,701,623,606,715,621,451,513,325,115,676,92,152,878,7,124,209,296,731,165,528,832,84,79,660,617,644,339,517,214,112,804,509,77,566,491,130,857,138,653,270,659,375,416,301,347,567,855,24,410,589,786,355,97,747,13,226,824,255,205,89,38,426,202,817,157,106,885,526,611,68,605,39,472,336,359,823,118,276,129,47,217,840,556,19,609,506,35,834,231,596,783,447,745,188,379,640,752,141,819,6,114,306,180,755,806,51,390,597,768,874,602,430,743,780,487,111,587,449,328,871,869,802,719,475,675,189,216,797,873,520,208,553,572,584,521,510,228,122,848,314,71,452,161,629,144,309,156,718,395,366,145,332,412,495,371,775,850,411,663,815,61,610,734,632,266,258,463,365,523,464,140,322,251,796,670,580,682,146,756,280,870,128,384,643,275,485,317,577,833,290,429,91,634,820,440,222,791,257,542,465,742,497,174,531,274,446,468,378,551,268,444,212,249,120,125,399,265,821,689,781,338,688,11,349,525,127,547,323,289,232,252,470,691,728,16,117,83,3,630,665,859,41,827,508,554,473,757,293,196,702,711,64,94,425,22,693,574,370,450,46,197,808,492,277,455,453,99,394,69,882,333,162,836,42,380,776,151,287,764,345,297,522,575,100,31,330,767,342,374,346,101,369,406,826,625,439,854,573,132,50,26,310,175,680,104,303,414,307,184,95,211,591,598,677,93,583,167,666,364,23,318,462,235,335,483,803,311,652,607,762,516,479,866,694,631,204,433,615,565,696,657,488,557,627,386,171,683,725,759,839,471,354,18,187,272,326,741,402,799,614,788,624,835,637,186,292,664,55,774,489,876,436
1: 555,552,392,230,603,794,305,881,812,686,108,52,294,381,669,193,442,14,291,532,512,247,503,656,362,782,27,154,558,590,15,594,387,87,329,281,264,155,201,519,53,135,648,639,829,841,582,761,770,376,818,373,168,58,172,549,133,477,862,150,518,858,279,334,636,466,256,239,158,327,707,48,562,458,739,137,651,316,811,467,195,259,860,543,320,300,877,722,655,81,541,284,673,107,476,851,534,76,616,500,400,647,244,846,418,358,62,538,703,771,687,667,302,684,548,44,66,181,391,437,225,2,772,224,638,633,740,267,377,246,393,511,352,443,360,800,884,576,499,807,540,282,36,662,784,661,533,679,9,179,699,595,372,613,714,361,299,28,240,710,215,735,746,405,765,139,233,350,738,872,49,529,170,726,121,570,192,810,737,242,672,409,708,490,131,480,234,844,70,368,496,795,798,733,868,419,550,383,709,685,852,514,505,185,435,535,457,33,561,60,417,397,493,398,164,85,143,367,4,813,681,25,454,273,546,431,304,579,618,563,620,530,254,57,203,312,253,227,778,271,315,671,847,408,723,600,789,754,20,421,838,260,110,456,690,313,340,324,67,220,753,80,415,674,825,285,724,668,507,698,401,219,286,148,278,883,856,105,604,608,10,578,658,159,82,153,459,592,736,176,413,263,537,126,245,173,763,758,494,695,86,650,787,612,559,119,351,751,262,63,403,748,308,865,32,628,879,238,348,481,74,744,588,504,527,343,73,116,619,749,236,441,705,250,288,136,700,831,828,363,814,337,773,269,790,8,237,422,460,331,200,210,261,769,321,191,880,149,221,777,295,177,241,502,388,654,809,420,389,75,716,720,867,501,243,163,564,147,646,43,385,849,382,40,206,341,190,428,863,727,635,586,434,166,469,585,319,298,845,29,404,134,649,169,697,207,218,98,750,356,423,396,109,357,601,1,461,248,478,539,816,593,65,843,861,704,515,641,830,12,432,729,194,842,805,30,407,766,837,622,875,160,182,760,37,445,424,229,72,103,721,283,213,198,645,678,353,5,56,712,793,45,581,438,568,474,199,717,427,642,59,545,599,178,90,560,544,626,17,571,96,864,713,113,732,486,223,792,692,21,536,482,785,569,779,448,34,706,801,822,88,344,498,853,54,142,183,730,123,78,484,102,524,701,623,606,715,621,451,513,325,115,676,92,152,7,209,878,124,296,731,165,528,832,84,79,660,644,339,617,517,214,804,112,77,566,509,491,130,138,857,653,270,659,375,416,301,347,567,855,24,410,589,786,817,355,747,13,226,824,205,255,89,38,426,202,97,106,157,885,526,611,605,68,39,336,472,823,359,276,118,129,47,596,840,19,556,609,506,834,35,231,217,783,745,188,447,379,640,141,752,819,6,306,114,180,755,806,51,597,390,768,602,874,743,430,487,780,111,449,587,869,328,802,871,475,675,189,216,797,873,520,719,553,208,572,584,521,510,228,122,848,314,452,71,161,629,309,144,395,156,718,366,145,332,412,495,371,775,61,850,663,411,815,610,734,266,632,258,463,523,464,365,140,322,251,796,670,756,580,146,682,870,384,128,643,275,317,485,577,280,833,290,429,91,634,820,440,222,257,791,542,465,742,497,174,531,274,468,446,378,551,268,444,120,249,212,125,399,265,689,821,781,11,338,688,349,525,323,127,547,289,232,252,470,691,728,117,16,83,3,859,630,665,41,827,508,554,473,757,196,293,702,711,64,94,425,22,693,574,370,46,197,808,492,277,450,455,99,882,394,69,333,453,162,836,42,380,151,776,764,287,297,345,522,575,100,31,330,342,767,374,346,101,369,625,439,854,132,26,826,50,573,310,175,680,104,303,414,95,307,184,211,591,677,598,583,93,318,666,364,167,23,462,335,235,311,483,652,803,406,607,762,516,479,866,694,631,204,433,615,565,696,657,488,557,627,386,683,171,725,759,471,839,354,187,18,272,326,741,402,799,614,624,788,835,637,186,292,664,55,774,489,876,436
1: 555,552,392,603,230,794,686,881,305,108,812,52,294,669,381,193,442,14,247,532,782,512,656,503,362,27,291,154,558,590,387,15,594,281,329,87,264,201,155,519,53,135,639,648,376,841,582,761,770,829,549,172,58,168,818,373,133,862,518,279,477,150,466,636,858,256,137,239,48,327,158,707,458,739,562,811,651,316,195,320,334,860,259,543,877,467,81,655,541,300,673,284,703,851,76,616,500,647,476,107,400,244,846,418,358,62,687,538,722,771,66,44,181,302,667,534,684,391,437,225,548,638,633,267,2,443,224,740,393,377,246,352,884,360,511,282,772,540,807,499,533,576,800,9,36,661,662,784,595,699,679,613,361,240,179,372,28,215,735,299,714,139,405,765,710,746,49,170,738,872,529,233,350,570,810,192,672,737,121,726,409,490,234,480,242,844,708,419,795,131,496,70,368,868,733,383,798,185,550,505,709,435,33,561,852,685,493,535,60,398,397,514,457,4,417,85,367,273,813,143,681,164,25,579,304,620,454,546,563,671,431,253,618,254,271,530,203,67,227,754,315,324,847,778,110,220,312,57,20,789,340,723,408,421,690,600,838,80,753,260,825,456,313,415,724,286,698,674,507,285,401,856,668,219,883,148,578,413,278,105,608,658,459,159,245,604,263,10,537,82,736,176,592,153,758,173,763,494,126,695,86,612,262,63,650,559,351,32,119,787,403,748,308,619,879,751,865,343,744,238,348,74,73,481,527,504,116,236,628,749,705,441,250,288,700,828,588,363,773,422,136,337,790,814,831,8,295,880,269,460,331,261,210,200,769,221,321,149,237,777,177,809,241,191,388,502,389,654,75,420,720,716,243,867,501,564,163,646,147,43,385,849,40,697,727,190,863,341,434,206,635,586,166,298,382,319,585,469,29,428,169,134,404,649,423,845,356,109,98,207,218,357,750,601,1,396,248,478,816,539,65,593,461,843,704,830,432,861,515,641,12,842,194,805,407,766,30,445,424,837,760,103,729,160,182,229,875,721,37,72,213,645,622,198,678,712,283,5,45,56,353,438,717,474,568,581,793,427,59,642,199,178,545,599,96,90,560,626,571,17,544,864,713,113,223,732,486,692,792,536,569,21,785,482,779,34,448,706,801,822,88,344,498,853,54,142,183,730,123,78,484,524,102,623,701,606,451,621,715,513,115,325,92,676,152,7,124,209,296,878,731,165,832,528,84,79,644,517,617,660,339,804,214,112,130,566,509,77,491,138,653,270,857,659,416,375,301,347,567,24,855,589,786,355,817,410,13,747,226,824,89,255,205,38,605,202,97,106,426,157,885,526,611,68,39,472,336,276,823,359,118,819,840,47,129,556,19,834,506,609,596,35,745,188,231,447,379,783,640,141,487,752,6,306,114,180,755,806,51,217,768,390,602,874,743,430,597,111,780,449,587,869,871,328,802,475,189,675,553,216,797,208,719,873,520,572,584,510,521,228,122,314,452,848,161,629,71,309,156,718,144,395,366,145,332,495,412,775,371,663,815,411,61,850,610,734,632,266,258,463,523,464,365,322,670,251,796,146,756,682,140,580,870,384,643,275,128,317,577,280,485,833,290,429,634,91,465,440,820,742,791,257,222,542,174,531,274,497,446,468,378,268,551,249,444,125,120,212,399,781,265,821,689,11,338,349,688,525,323,127,547,289,252,232,691,470,728,16,83,3,859,630,665,41,554,117,508,827,757,473,196,293,702,64,425,711,22,693,94,574,46,370,197,808,492,277,450,882,455,99,394,333,453,69,836,42,162,776,380,151,287,297,522,764,345,575,31,330,342,374,767,346,369,101,100,625,439,310,26,854,826,132,50,175,573,680,104,303,307,95,184,414,211,677,591,803,93,598,666,318,364,462,235,167,23,335,483,583,311,652,406,607,762,516,479,866,631,694,204,433,565,615,696,657,488,557,627,386,683,171,725,759,839,471,187,354,18,326,272,741,614,402,799,624,788,835,637,186,664,292,489,774,55,876,436
1: 555,552,392,603,794,230,686,881,305,108,812,52,669,294,381,193,442,14,291,532,782,512,503,656,27,362,247,154,558,590,387,15,594,281,329,87,739,264,201,155,519,53,648,639,135,376,841,168,829,770,761,549,582,58,172,818,373,862,133,518,477,150,279,466,636,858,703,256,239,48,158,327,707,458,562,137,811,651,316,195,860,320,259,543,877,81,300,541,655,334,673,616,284,76,467,851,500,476,244,107,647,846,400,418,687,358,534,62,538,771,44,66,667,722,302,684,391,181,437,225,548,638,633,2,267,246,224,377,740,443,393,352,360,282,772,884,511,807,540,499,576,533,800,36,9,662,661,699,595,784,613,361,679,240,179,372,735,28,299,215,405,714,710,139,765,746,49,738,170,872,529,233,350,490,570,192,672,737,121,726,810,409,234,242,480,844,131,708,795,70,496,868,368,419,733,383,185,798,550,505,709,33,561,852,435,685,535,493,60,397,514,457,398,4,681,417,85,813,273,143,25,367,304,579,620,431,546,164,563,454,618,253,315,254,271,671,530,203,227,754,324,312,847,220,57,778,753,20,110,340,789,723,408,421,67,80,690,260,600,825,313,838,456,724,415,698,674,856,507,413,401,285,219,883,148,578,286,278,105,459,608,159,658,245,604,668,263,153,10,537,736,176,173,758,82,592,763,494,126,695,86,63,612,650,262,559,351,787,32,308,403,119,748,744,879,343,348,865,751,238,74,73,619,481,527,504,116,236,441,705,828,628,749,250,288,700,773,363,814,422,588,136,790,337,831,295,880,269,331,8,460,261,210,200,221,321,237,769,149,777,177,241,191,809,388,502,389,654,420,75,720,716,501,867,243,564,163,43,646,385,697,147,849,863,727,40,382,190,341,206,586,635,298,434,166,319,585,469,169,29,134,649,404,428,423,356,98,218,207,109,357,845,750,601,1,461,248,478,816,539,396,65,593,843,704,830,432,861,641,12,842,515,194,729,805,766,30,760,103,37,424,445,875,837,160,182,229,721,407,622,213,72,645,198,283,678,712,5,793,56,45,353,438,474,581,568,717,427,59,199,642,178,599,560,545,90,96,626,571,17,864,544,713,113,223,732,486,692,792,536,785,21,569,482,34,706,779,448,801,822,88,344,498,853,142,54,730,183,123,78,484,524,623,102,701,606,451,621,715,513,115,325,92,676,7,152,124,296,209,878,731,165,832,528,84,644,79,517,617,660,339,214,804,112,566,130,491,509,77,138,653,270,857,659,416,375,301,347,567,24,855,589,786,355,817,410,13,747,226,824,89,255,205,38,202,97,106,426,605,157,885,526,611,68,336,39,472,276,823,118,359,487,840,556,47,129,834,506,19,609,819,35,745,188,231,447,379,783,640,306,596,141,6,752,114,755,180,806,51,217,768,390,602,874,430,743,597,111,780,449,587,871,328,869,802,475,675,189,553,216,797,208,719,873,520,572,584,510,521,228,122,452,314,848,161,629,71,309,156,144,395,366,332,145,495,775,371,412,718,61,411,663,815,850,610,734,266,258,463,523,464,365,632,322,670,146,251,796,756,682,140,580,870,384,643,275,128,317,280,577,485,833,429,290,634,91,440,257,465,820,542,791,742,222,531,174,274,497,446,468,378,268,249,551,444,125,212,120,399,265,11,821,689,338,349,688,525,781,127,547,289,252,232,691,470,323,728,16,83,859,3,630,665,41,117,554,508,827,757,473,196,702,293,425,64,711,22,693,94,574,370,46,197,808,492,450,277,882,455,99,333,394,453,69,836,42,162,380,776,287,151,297,345,764,522,575,31,330,100,342,767,369,346,101,374,439,625,310,26,826,854,50,132,573,175,680,303,104,95,184,414,307,211,677,803,591,93,598,318,666,364,167,235,462,23,335,583,483,607,652,406,311,762,516,866,631,694,479,204,433,565,615,696,657,488,557,627,386,683,171,759,725,839,471,187,354,18,326,741,614,272,402,799,624,788,835,637,186,664,292,489,774,55,876,436
1: 555,552,392,603,794,230,686,881,305,108,812,52,669,294,381,193,442,14,291,532,782,512,503,247,362,656,27,154,558,281,387,590,594,15,329,739,87,201,264,155,53,648,519,135,639,376,168,829,770,841,582,761,818,58,172,549,373,862,133,703,518,477,466,279,858,636,256,158,150,48,239,327,707,458,562,137,811,651,316,195,320,860,543,259,877,81,334,541,655,300,673,846,284,851,76,616,476,107,500,244,467,647,400,687,418,771,534,358,62,538,66,44,667,684,722,302,391,181,437,548,225,633,638,267,2,740,246,377,224,443,352,393,360,282,772,884,511,540,576,499,807,533,800,36,662,9,661,699,784,595,679,179,613,240,361,735,28,299,372,405,215,714,710,139,765,746,49,738,170,872,490,529,570,350,233,192,672,121,737,726,409,234,795,242,480,131,844,708,70,496,368,810,868,185,383,419,733,550,505,33,798,852,709,435,685,493,535,60,561,397,457,398,4,514,367,813,417,85,143,273,25,681,431,620,579,164,546,304,618,563,253,454,315,671,254,271,530,203,227,324,778,754,57,220,847,753,312,723,110,20,67,408,789,80,340,421,690,600,838,313,260,825,456,724,674,415,698,413,856,507,285,219,401,578,286,883,148,278,105,608,459,159,668,245,658,153,604,10,263,176,758,736,173,537,82,592,763,126,494,695,86,612,262,650,63,351,787,559,32,403,308,748,879,343,744,348,865,751,74,73,119,238,481,527,619,504,116,236,441,828,705,288,250,749,700,773,588,136,363,422,814,337,831,790,295,628,880,8,331,269,460,261,221,237,200,210,321,149,769,177,777,191,241,388,420,389,654,502,809,75,501,716,720,243,564,867,43,163,646,385,147,849,190,40,382,863,727,206,635,586,298,434,341,166,319,585,697,469,169,29,134,404,428,649,356,423,357,98,218,845,109,207,750,601,1,461,478,248,539,396,816,65,593,843,704,830,432,641,861,842,515,12,194,729,766,805,30,37,837,760,103,445,182,424,721,407,875,229,160,622,213,72,283,645,198,793,678,5,712,56,353,45,438,474,717,568,581,427,59,199,642,178,560,599,545,96,90,626,571,864,17,544,713,113,223,486,732,792,692,536,21,482,569,785,34,706,779,448,88,801,822,344,498,853,142,730,54,183,78,123,524,484,623,102,701,451,606,715,621,513,115,325,92,676,152,7,124,296,209,878,731,165,832,528,644,517,84,79,339,617,660,804,214,112,566,130,491,77,509,138,653,270,857,659,416,375,301,347,24,567,855,589,786,817,355,410,13,747,226,824,89,255,205,202,97,38,106,426,605,526,885,157,611,68,336,39,472,276,118,823,359,487,840,47,129,556,19,834,506,609,819,35,188,745,231,379,447,783,640,306,596,6,114,141,752,180,755,806,51,597,768,602,390,430,874,743,217,111,449,780,587,871,328,869,802,475,675,189,553,797,216,873,719,208,520,572,510,584,521,228,122,452,314,848,161,71,629,309,156,144,366,395,145,332,775,495,371,718,412,61,411,663,815,850,610,266,734,258,463,365,523,464,632,670,146,322,756,251,796,140,682,580,870,384,643,275,128,280,317,577,485,833,429,290,634,257,440,91,465,542,820,791,742,222,531,174,274,497,446,378,468,551,268,444,212,120,249,125,399,11,265,689,821,338,349,688,781,525,547,127,289,252,691,232,470,323,16,728,859,83,3,665,630,117,41,554,508,827,473,757,196,293,702,64,425,711,22,94,693,574,370,46,197,808,492,277,882,455,99,69,450,394,333,42,836,162,380,453,287,776,151,345,764,297,522,575,31,330,100,342,767,369,346,101,374,439,625,310,26,826,854,50,132,573,175,680,303,104,414,184,307,211,95,677,591,803,93,598,318,666,364,607,235,462,23,335,167,483,311,652,406,583,762,516,866,631,694,479,204,433,565,615,696,657,488,627,557,386,683,171,759,839,471,725,187,354,18,326,741,614,272,402,799,624,788,835,637,186,664,292,489,774,55,876,436
1: 555,552,392,603,794,230,686,881,305,52,108,812,669,294,381,193,442,14,291,782,532,512,503,362,247,27,281,656,154,558,387,590,15,594,329,739,87,201,264,155,53,519,648,135,639,168,770,376,829,582,761,841,818,58,172,549,373,133,862,518,466,279,477,858,703,636,256,158,458,239,48,327,150,707,562,811,651,137,316,195,320,543,860,259,81,655,877,300,673,541,334,616,284,851,76,476,244,846,500,107,647,400,771,418,467,62,687,358,538,66,722,667,684,44,302,391,437,534,181,225,267,633,740,548,638,2,246,224,352,393,443,282,377,360,807,884,511,772,576,499,533,36,540,662,9,699,800,661,595,679,784,240,613,361,299,179,735,28,372,215,405,714,710,139,765,746,49,170,738,490,529,570,350,872,233,192,672,121,737,726,409,234,480,795,242,131,844,708,70,810,496,368,868,185,419,733,383,505,33,561,550,852,60,709,798,435,493,685,535,397,514,398,457,367,4,85,143,813,431,417,25,273,164,681,620,579,618,304,546,454,671,563,315,253,254,754,530,203,271,227,57,324,778,220,110,838,753,847,723,690,312,20,80,408,340,789,67,313,421,600,260,825,456,674,724,413,507,698,415,856,578,286,401,219,883,285,148,278,608,668,105,459,159,604,245,153,758,658,176,263,10,736,173,537,82,592,763,126,494,86,695,612,650,63,559,351,308,787,748,32,403,879,262,744,343,73,348,865,119,751,74,238,481,619,527,504,236,116,828,588,441,705,250,288,700,749,773,136,422,363,814,337,295,790,628,831,8,880,269,331,261,210,237,221,460,200,321,149,769,191,777,177,420,388,654,502,241,389,809,75,720,716,243,501,564,867,163,646,385,43,147,849,434,40,863,190,727,206,635,586,298,382,341,166,319,697,585,134,469,169,29,649,404,357,356,423,109,845,218,98,1,750,601,428,207,478,248,816,539,65,593,461,843,830,704,641,432,842,396,861,12,515,194,766,37,424,30,805,445,721,729,760,103,837,875,182,160,407,229,622,213,645,72,793,5,678,198,712,283,56,45,438,353,474,568,581,427,717,642,59,199,178,599,545,560,90,17,96,571,626,544,713,864,113,223,486,732,792,692,536,21,569,482,785,34,706,448,779,88,801,822,344,498,853,142,730,183,54,78,524,123,623,484,102,701,451,606,621,715,513,115,325,676,92,7,152,124,296,209,878,731,165,517,832,644,528,79,84,339,617,660,214,804,112,566,130,491,77,138,509,653,270,857,416,659,24,375,301,347,567,589,855,786,817,355,410,13,747,824,226,89,255,205,202,97,38,426,106,605,526,611,157,885,68,336,472,39,118,276,359,823,487,840,834,19,47,129,556,506,609,819,35,783,188,231,745,379,447,640,306,596,6,114,752,141,755,180,806,597,51,768,602,390,430,874,743,217,449,111,780,587,871,328,869,802,675,189,475,553,797,216,719,208,873,520,572,510,584,521,228,122,452,314,848,161,71,629,144,156,309,775,366,395,332,145,495,371,718,61,412,663,815,411,850,610,266,734,258,463,365,464,523,632,146,670,756,322,251,796,140,682,580,870,384,643,275,280,128,317,577,485,833,429,290,257,634,440,465,91,542,820,742,531,791,222,174,274,497,446,378,468,551,268,444,212,120,249,125,399,11,689,265,821,349,338,781,688,525,547,127,289,252,232,691,470,323,728,16,859,3,83,665,630,117,41,554,827,508,473,757,196,293,702,64,711,425,22,693,574,370,46,197,94,808,492,277,882,455,99,450,394,69,333,836,42,162,380,453,287,776,151,345,764,297,522,575,31,330,100,342,369,767,101,346,374,439,625,310,826,26,854,132,50,573,175,680,303,104,414,184,307,803,211,677,591,95,93,598,318,666,364,235,311,462,23,335,607,483,652,167,406,583,762,516,866,631,694,479,204,433,565,615,696,657,488,627,557,386,683,171,759,839,471,725,187,354,326,18,272,741,614,402,799,624,788,835,186,637,292,664,489,774,55,876,436
1: 555,552,392,686,603,230,794,881,305,108,52,812,669,294,381,14,193,442,532,291,782,512,503,247,281,362,27,656,154,558,590,387,15,594,329,739,264,201,87,53,155,648,135,376,519,841,770,639,829,761,172,549,168,818,862,58,373,133,703,477,279,582,518,858,466,636,256,48,327,150,239,458,158,707,562,137,811,195,860,316,651,320,543,259,616,673,81,877,846,541,655,300,851,244,647,76,467,284,500,476,687,107,771,400,334,62,418,358,66,44,722,538,667,302,684,534,181,437,391,225,267,246,548,740,633,393,638,443,282,377,352,2,224,884,807,772,360,36,533,499,511,540,662,800,679,661,576,784,9,361,595,240,699,215,613,735,28,179,405,299,372,714,139,170,765,710,746,49,738,529,570,872,233,192,672,490,350,121,409,234,726,480,737,795,131,561,844,70,708,496,242,419,185,368,868,33,810,733,383,505,550,709,798,60,435,535,493,852,685,397,457,398,143,514,4,431,85,813,273,164,367,417,618,579,25,620,413,304,546,681,530,454,315,563,254,671,253,203,324,754,778,271,220,110,847,227,80,20,723,753,690,67,313,408,421,674,312,340,789,825,600,57,260,698,401,724,856,507,456,415,578,286,883,285,219,838,148,278,159,608,245,668,105,537,763,153,604,459,263,173,658,176,736,592,82,10,126,494,695,262,86,650,63,612,787,559,308,351,32,403,879,343,744,348,748,74,758,73,751,481,865,238,119,527,828,619,504,236,116,441,250,700,705,288,814,773,136,790,363,749,588,422,295,831,880,337,8,628,331,269,221,261,237,210,200,769,321,149,460,777,191,388,809,241,177,654,502,389,75,720,716,867,243,564,420,646,163,147,43,385,849,727,40,863,190,298,501,586,635,206,341,166,434,134,319,585,169,697,29,356,469,357,404,382,649,423,218,109,461,207,98,601,750,1,845,816,248,478,539,428,65,593,842,704,396,843,432,641,830,515,12,861,194,407,766,721,37,103,445,424,760,805,30,729,182,837,229,875,160,353,213,72,712,793,645,678,198,5,622,45,56,283,438,474,717,568,581,427,642,199,59,178,599,560,545,96,90,571,713,113,626,544,864,17,223,486,732,792,692,536,569,21,482,34,785,706,448,779,88,801,822,344,498,853,142,730,54,183,78,123,524,623,484,102,701,451,606,621,715,513,115,325,92,676,124,7,296,152,209,878,731,165,517,644,832,528,79,84,617,339,660,112,214,566,804,130,77,509,138,491,24,653,270,416,659,857,301,375,347,567,589,855,97,786,355,410,13,747,824,226,89,38,255,202,817,205,106,426,605,526,885,611,157,68,487,472,39,359,276,823,118,336,840,47,19,556,834,129,506,609,819,35,379,188,745,447,640,783,231,6,596,114,306,141,752,180,755,806,597,51,602,768,874,390,430,743,217,449,111,780,871,587,328,869,553,675,802,189,475,797,216,719,208,520,873,572,510,521,584,228,452,122,314,161,848,629,775,71,156,309,144,366,332,495,145,395,718,371,663,815,411,412,61,610,850,266,734,464,258,523,632,463,365,756,146,670,251,322,140,796,682,870,580,384,643,440,275,577,317,833,128,485,290,280,429,634,257,465,91,820,742,791,222,174,542,274,497,378,531,446,468,268,551,444,125,249,120,212,399,11,265,821,689,349,338,323,525,547,688,127,289,232,252,691,781,470,728,16,3,83,859,665,117,630,41,508,554,827,473,757,64,702,196,293,711,22,425,693,574,46,370,197,94,492,808,277,455,882,99,394,450,333,69,42,380,453,836,776,162,151,287,764,297,522,345,575,31,374,330,342,369,767,100,346,101,439,625,26,826,310,854,50,573,175,132,303,680,104,184,307,414,803,677,211,95,598,591,93,607,235,666,364,311,462,23,318,483,335,167,652,406,583,762,516,866,631,694,479,204,433,565,615,696,657,627,488,557,386,725,171,759,683,471,839,187,354,18,326,272,741,614,402,799,788,624,186,835,637,292,664,489,774,55,876,436