mlbbat10 <-
structure(list(name = structure(c(13L, 9L, 21L, 14L, 25L, 19L, 
22L, 10L, 24L, 3L, 23L, 1L, 11L, 12L, 6L, 8L, 15L, 7L, 5L, 17L, 
20L, 4L, 18L, 16L, 2L, 49L, 41L, 39L, 27L, 50L, 26L, 35L, 37L, 
40L, 33L, 30L, 46L, 36L, 45L, 42L, 31L, 34L, 28L, 48L, 43L, 29L, 
44L, 38L, 32L, 47L, 62L, 56L, 60L, 63L, 53L, 55L, 61L, 57L, 68L, 
74L, 65L, 70L, 51L, 72L, 54L, 52L, 58L, 59L, 75L, 69L, 66L, 67L, 
64L, 73L, 71L, 97L, 98L, 83L, 94L, 86L, 81L, 89L, 80L, 96L, 85L, 
95L, 77L, 99L, 88L, 82L, 100L, 87L, 78L, 93L, 91L, 90L, 92L, 
84L, 76L, 79L, 115L, 110L, 114L, 116L, 107L, 112L, 120L, 109L, 
104L, 101L, 119L, 122L, 103L, 118L, 117L, 121L, 125L, 123L, 108L, 
111L, 106L, 113L, 105L, 124L, 102L, 130L, 142L, 145L, 147L, 136L, 
143L, 129L, 148L, 31L, 126L, 132L, 144L, 97L, 140L, 131L, 138L, 
141L, 135L, 146L, 133L, 127L, 134L, 128L, 137L, 139L, 161L, 155L, 
160L, 154L, 167L, 152L, 164L, 153L, 162L, 169L, 151L, 171L, 157L, 
168L, 170L, 150L, 163L, 149L, 158L, 165L, 166L, 173L, 156L, 159L, 
172L, 191L, 198L, 180L, 196L, 175L, 181L, 194L, 183L, 174L, 188L, 
193L, 189L, 178L, 182L, 190L, 195L, 177L, 184L, 179L, 187L, 185L, 
192L, 176L, 197L, 186L, 220L, 203L, 206L, 211L, 207L, 205L, 212L, 
216L, 201L, 215L, 219L, 199L, 202L, 218L, 208L, 209L, 221L, 204L, 
217L, 210L, 200L, 27L, 213L, 222L, 214L, 232L, 243L, 225L, 229L, 
228L, 226L, 247L, 238L, 242L, 239L, 241L, 227L, 244L, 230L, 240L, 
231L, 235L, 246L, 236L, 237L, 233L, 234L, 245L, 223L, 224L, 251L, 
249L, 265L, 266L, 263L, 254L, 257L, 250L, 252L, 28L, 258L, 269L, 
259L, 261L, 264L, 268L, 255L, 27L, 253L, 262L, 256L, 260L, 270L, 
248L, 267L, 272L, 292L, 276L, 289L, 273L, 282L, 54L, 280L, 284L, 
283L, 279L, 271L, 288L, 281L, 285L, 277L, 278L, 287L, 270L, 165L, 
286L, 274L, 291L, 290L, 275L, 307L, 297L, 317L, 300L, 303L, 304L, 
295L, 312L, 310L, 309L, 316L, 306L, 298L, 308L, 301L, 311L, 315L, 
302L, 305L, 293L, 296L, 313L, 299L, 314L, 294L, 329L, 319L, 332L, 
335L, 326L, 333L, 325L, 336L, 331L, 185L, 337L, 60L, 320L, 322L, 
27L, 328L, 334L, 321L, 330L, 324L, 318L, 314L, 327L, 294L, 323L, 
350L, 361L, 341L, 339L, 343L, 345L, 351L, 338L, 340L, 354L, 348L, 
357L, 356L, 355L, 346L, 352L, 349L, 359L, 360L, 362L, 344L, 353L, 
342L, 347L, 358L, 363L, 377L, 374L, 367L, 368L, 196L, 379L, 369L, 
380L, 375L, 366L, 383L, 384L, 370L, 376L, 371L, 365L, 364L, 381L, 
373L, 325L, 382L, 159L, 372L, 378L, 404L, 396L, 388L, 397L, 392L, 
399L, 409L, 393L, 406L, 389L, 407L, 405L, 408L, 385L, 390L, 398L, 
402L, 401L, 394L, 395L, 391L, 403L, 387L, 386L, 400L, 410L, 430L, 
235L, 418L, 414L, 431L, 422L, 417L, 416L, 423L, 419L, 427L, 428L, 
420L, 182L, 424L, 411L, 413L, 426L, 412L, 421L, 425L, 415L, 407L, 
429L, 440L, 444L, 449L, 452L, 265L, 446L, 434L, 448L, 432L, 439L, 
447L, 433L, 302L, 441L, 436L, 453L, 454L, 451L, 435L, 443L, 438L, 
437L, 450L, 442L, 445L, 474L, 345L, 333L, 333L, 455L, 460L, 465L, 
473L, 467L, 471L, 457L, 463L, 470L, 466L, 461L, 456L, 464L, 476L, 
469L, 475L, 459L, 462L, 472L, 458L, 468L, 489L, 491L, 495L, 477L, 
493L, 480L, 383L, 492L, 488L, 482L, 478L, 496L, 486L, 273L, 324L, 
479L, 481L, 490L, 483L, 485L, 367L, 494L, 497L, 484L, 487L, 515L, 
508L, 502L, 512L, 498L, 505L, 510L, 504L, 492L, 507L, 509L, 506L, 
514L, 518L, 499L, 501L, 158L, 503L, 511L, 513L, 519L, 428L, 517L, 
500L, 516L, 529L, 522L, 524L, 525L, 523L, 530L, 537L, 540L, 531L, 
477L, 532L, 534L, 536L, 527L, 225L, 520L, 528L, 493L, 526L, 539L, 
153L, 521L, 533L, 538L, 535L, 564L, 543L, 547L, 550L, 562L, 549L, 
541L, 561L, 559L, 553L, 248L, 551L, 557L, 558L, 546L, 548L, 555L, 
556L, 544L, 545L, 554L, 560L, 542L, 552L, 563L, 585L, 579L, 571L, 
582L, 575L, 581L, 580L, 588L, 583L, 570L, 577L, 573L, 584L, 574L, 
565L, 567L, 586L, 568L, 578L, 587L, 566L, 572L, 576L, 340L, 569L, 
420L, 589L, 605L, 611L, 598L, 597L, 599L, 609L, 590L, 591L, 608L, 
593L, 600L, 596L, 603L, 604L, 519L, 594L, 601L, 595L, 592L, 602L, 
607L, 610L, 606L, 627L, 630L, 613L, 618L, 617L, 628L, 634L, 614L, 
619L, 631L, 629L, 635L, 620L, 615L, 625L, 623L, 621L, 616L, 636L, 
633L, 612L, 626L, 622L, 632L, 624L, 654L, 637L, 644L, 377L, 649L, 
658L, 641L, 653L, 594L, 655L, 657L, 639L, 650L, 643L, 640L, 642L, 
647L, 645L, 361L, 651L, 652L, 656L, 646L, 638L, 648L, 674L, 659L, 
178L, 666L, 680L, 678L, 673L, 675L, 667L, 662L, 663L, 676L, 677L, 
661L, 664L, 668L, 679L, 660L, 669L, 462L, 665L, 670L, 671L, 672L, 
681L, 704L, 686L, 683L, 702L, 688L, 697L, 685L, 698L, 689L, 703L, 
691L, 692L, 687L, 682L, 700L, 699L, 690L, 694L, 695L, 679L, 696L, 
701L, 693L, 684L, 690L, 726L, 707L, 339L, 720L, 725L, 723L, 717L, 
710L, 727L, 705L, 714L, 716L, 712L, 715L, 721L, 713L, 719L, 711L, 
718L, 722L, 728L, 708L, 709L, 724L, 706L, 736L, 743L, 730L, 731L, 
744L, 732L, 747L, 738L, 748L, 729L, 740L, 734L, 741L, 735L, 745L, 
742L, 750L, 737L, 749L, 691L, 412L, 34L, 746L, 733L, 739L, 752L, 
753L, 760L, 761L, 772L, 773L, 754L, 763L, 758L, 775L, 767L, 751L, 
769L, 768L, 770L, 764L, 765L, 755L, 766L, 756L, 774L, 759L, 757L, 
762L, 771L, 776L, 788L, 794L, 781L, 777L, 791L, 789L, 782L, 687L, 
792L, 7L, 783L, 790L, 784L, 785L, 778L, 64L, 786L, 273L, 779L, 
787L, 571L, 780L, 793L, 795L, 813L, 808L, 797L, 818L, 796L, 798L, 
809L, 814L, 819L, 815L, 800L, 802L, 801L, 805L, 803L, 804L, 820L, 
806L, 811L, 816L, 799L, 812L, 817L, 807L, 810L, 829L, 821L, 825L, 
837L, 841L, 836L, 838L, 833L, 835L, 834L, 826L, 840L, 827L, 843L, 
628L, 759L, 828L, 831L, 822L, 823L, 824L, 832L, 830L, 842L, 839L, 
848L, 847L, 865L, 844L, 864L, 859L, 849L, 853L, 854L, 845L, 866L, 
852L, 855L, 857L, 868L, 860L, 862L, 846L, 861L, 867L, 850L, 858L, 
851L, 856L, 863L, 885L, 869L, 876L, 884L, 891L, 887L, 47L, 883L, 
874L, 880L, 870L, 871L, 888L, 886L, 881L, 41L, 889L, 882L, 878L, 
879L, 877L, 890L, 872L, 875L, 873L, 908L, 65L, 900L, 677L, 911L, 
898L, 912L, 894L, 626L, 913L, 910L, 893L, 899L, 895L, 904L, 901L, 
896L, 902L, 903L, 909L, 897L, 892L, 905L, 906L, 907L, 925L, 937L, 
926L, 921L, 914L, 918L, 924L, 922L, 915L, 935L, 927L, 928L, 929L, 
930L, 936L, 931L, 932L, 923L, 933L, 919L, 938L, 916L, 920L, 934L, 
917L, 946L, 947L, 948L, 956L, 844L, 949L, 859L, 943L, 957L, 940L, 
950L, 939L, 955L, 958L, 954L, 951L, 941L, 952L, 942L, 953L, 959L, 
944L, 860L, 960L, 945L, 961L, 979L, 975L, 980L, 968L, 965L, 850L, 
972L, 972L, 977L, 976L, 978L, 978L, 964L, 967L, 969L, 962L, 963L, 
981L, 966L, 970L, 971L, 982L, 974L, 973L, 1000L, 993L, 1001L, 
994L, 999L, 995L, 1002L, 991L, 983L, 990L, 1003L, 1004L, 987L, 
996L, 984L, 998L, 1006L, 992L, 1005L, 988L, 985L, 986L, 1007L, 
989L, 997L, 1008L, 1022L, 1027L, 1019L, 1009L, 1032L, 1010L, 
1023L, 1016L, 1026L, 1028L, 1018L, 1020L, 1012L, 1031L, 1014L, 
1025L, 1017L, 1029L, 1011L, 1024L, 1013L, 1015L, 1021L, 1030L, 
510L, 1051L, 1038L, 1050L, 1036L, 1047L, 1044L, 1039L, 1045L, 
1043L, 1048L, 1033L, 1037L, 1053L, 1053L, 1041L, 1034L, 1040L, 
750L, 1046L, 875L, 1035L, 1052L, 1042L, 1049L, 1055L, 1068L, 
1069L, 1070L, 1073L, 1060L, 1066L, 1056L, 1071L, 1071L, 1057L, 
1067L, 1058L, 1058L, 1059L, 119L, 1054L, 1061L, 1062L, 1074L, 
1063L, 1064L, 1065L, 1072L, 1065L, 1088L, 1089L, 1079L, 1096L, 
1075L, 1085L, 1080L, 1097L, 1090L, 1077L, 1086L, 1076L, 1078L, 
1098L, 1083L, 1081L, 787L, 1087L, 1091L, 1094L, 1095L, 1084L, 
1093L, 1092L, 1082L, 1119L, 1117L, 1099L, 1120L, 1105L, 1114L, 
1106L, 1100L, 1111L, 1107L, 1115L, 1108L, 1104L, 1101L, 1103L, 
1118L, 1116L, 1110L, 563L, 275L, 1112L, 1113L, 1102L, 1109L), .Label = c("A Jackson", 
"B Butler", "B Phillips", "C Crawford", "C Figgins", "C Headley", 
"C Lee", "C McGehee", "D Jeter", "D Span", "H Kendrick", "H Pence", 
"I Suzuki", "J Pierre", "M Cuddyer", "M Holliday", "M Kemp", 
"M Prado", "M Scutaro", "M Teixeira", "M Young", "N Markakis", 
"R Braun", "R Cano", "R Weeks", "A Beltre", "A Gonzalez", "A Jones", 
"A Pagan", "A Pujols", "A Ramirez", "B Abreu", "C Gonzalez", 
"C Young", "D Uggla", "D Wright", "E Andrus", "E Longoria", "G Jones", 
"J Loney", "J Lopez", "K Johnson", "M Byrd", "P Fielder", "R Theriot", 
"S Victorino", "T Hunter", "T Wigginton", "V Guerrero", "V Wells", 
"A Callaspo", "A Dunn", "A Huff", "A LaRoche", "A Lind", "A McCutchen", 
"A Rios", "C Hart", "D Barton", "D Young", "F Gutierrez", "G Sanchez", 
"J Bautista", "J Peralta", "J Reyes", "J Werth", "K Kouzmanoff", 
"N Swisher", "P Polanco", "P Sandoval", "R Howard", "R Ibanez", 
"S Choo", "S Drew", "Y Betancourt", "A Ethier", "A Hill", "A Rodriguez", 
"B Inge", "B Upton", "B Zobrist", "C Ross", "D Lee", "D Ortiz", 
"E Aybar", "H Ramirez", "I Davis", "I Desmond", "J Damon", "J Hamilton", 
"J Heyward", "J Kubel", "J Uribe", "J Votto", "L Overbay", "M Bourn", 
"M Cabrera", "P Konerko", "R Davis", "R Zimmerman", "A Escobar", 
"A Pierzynski", "A Soriano", "A Torres", "B Gardner", "B McCann", 
"C Blake", "C Pena", "C Pennington", "D Stubbs", "H Matsui", 
"J Bruce", "J Drew", "J Gomes", "J Keppinger", "J Mauer", "J Upton", 
"K Suzuki", "M Reynolds", "N Morgan", "O Cabrera", "O Hudson", 
"R Ludwick", "S Schumaker", "V Martinez", "B Boesch", "B DeWitt", 
"B Ryan", "C Granderson", "C Izturis", "C Quentin", "C Rasmus", 
"D Eckstein", "D Fowler", "G Beckham", "J Bartlett", "J Borbon", 
"L Scott", "M Ellis", "M Napoli", "M Wieters", "O Infante", "R Cedeno", 
"S Castro", "S Rolen", "T Crowe", "T Tulowitzki", "Y Molina", 
"A Kearns", "B Posey", "C Kotchman", "C Utley", "D Murphy", "F Lewis", 
"F Sanchez", "I Rodriguez", "J Buck", "J Francoeur", "J Guillen", 
"J Hairston", "J Kendall", "J Rivera", "J Tabata", "M Aviles", 
"M Tejada", "N Cruz", "N Walker", "P Feliz", "R Bernadina", "R Doumit", 
"T Glaus", "T Hafner", "T Helton", "A Cabrera", "C Barmes", "C Coghlan", 
"C Ruiz", "F Lopez", "G Parra", "I Kinsler", "I Stewart", "J Cantu", 
"J Posada", "J Willingham", "J Wilson", "K Fukudome", "K Youkilis", 
"L Milledge", "M LaPorta", "M Maier", "M Olivo", "M Stanton", 
"R Branyan", "R Furcal", "R Raburn", "S Podsednik", "T Colvin", 
"W Venable", "A Kennedy", "A Rowand", "B Hall", "C Johnson", 
"D DeJesus", "E Encarnacion", "J Bay", "J Carroll", "J Cust", 
"J Hardy", "J Jaso", "J Nix", "J Rollins", "J Smoak", "M Kotsay", 
"M Ordonez", "O Vizquel", "P Alvarez", "R Martin", "R Spilborghs", 
"S Rodriguez", "S Smith", "W Valdez", "Y Torrealba", "A Avila", 
"C Gomez", "C Guzman", "C Jones", "C Patterson", "C Snyder", 
"D McDonald", "D Pedroia", "D Valencia", "G Soto", "J Donald", 
"J Morneau", "L Berkman", "M Brantley", "M Montero", "M Mora", 
"R Barajas", "R Brignac", "R Hernandez", "R Paulino", "R Santiago", 
"R Sweeney", "S Hairston", "T Snider", "X Nady", "B Hawpe", "C Crisp", 
"C Denorfia", "C Maybin", "E Hinske", "F Cervelli", "F Pie", 
"G Laird", "H Quintero", "J Jay", "J Lucroy", "J Thome", "L Marson", 
"L Valbuena", "M Morse", "M Saunders", "N Hundley", "P Burrell", 
"T Gwynn", "T Manzella", "W Aybar", "W Betemit", "Y Escobar", 
"A Gordon", "A Rosales", "A Sanchez", "B Roberts", "B Wood", 
"C Guillen", "D Freese", "D Kelly", "E Renteria", "J Edmonds", 
"J Lugo", "L Castillo", "L Morrison", "M Bradley", "M Fontenot", 
"M Teahen", "M Treanor", "N McLouth", "N Punto", "N Schierholtz", 
"S Duncan", "W Helms", "A Moore", "B Molina", "C Beltran", "C Counsell", 
"C Getz", "E Cabrera", "G Blum", "G Gross", "G Kottaras", "J Baker", 
"J Hermida", "J Herrera", "J Mathis", "K Hill", "M Diaz", "M Izturis", 
"M Joyce", "M Lowell", "M Thames", "R Church", "R Hanigan", "R Johnson", 
"R Ryal", "R Tejada", "W Harris", "B Francisco", "C Heisey", 
"C Iannetta", "E Bonifacio", "E Patterson", "E Young", "G Blanco", 
"J Castro", "J Fox", "J Giambi", "J Michaels", "J Thole", "K Ka'aihue", 
"K Morales", "M Cairo", "M Ramirez", "P Bourjos", "P Janish", 
"T Abreu", "W Rhymes", "A Blanco", "A Cora", "A Iwamura", "A Marte", 
"B Conrad", "B Crosby", "B Pena", "C Carter", "D Nava", "G Anderson", 
"G Dobbs", "J Bell", "J Lowrie", "J Molina", "K Frandsen", "K Shoppach", 
"L Nix", "M Cameron", "R Belliard", "R Kalish", "R Pena", "R Willits", 
"T Ishikawa", "W Bloomquist", "W Nieves", "A Casilla", "A Cunningham", 
"A Miles", "B Wallace", "C Jackson", "C Santana", "C Tracy", 
"D Butera", "G Atkins", "G Sizemore", "H Blanco", "J Bowker", 
"J Clement", "J Inglett", "J McDonald", "J Repko", "L Cain", 
"M Moreland", "O Salazar", "R Gload", "R Winn", "S Sizemore", 
"A Craig", "A Ellis", "B Davis", "B Schneider", "C Davis", "C Tatum", 
"D Johnson", "D Navarro", "D Ross", "D Wise", "E Chavez", "E Whiteside", 
"G Kapler", "J Bard", "J Bourgeois", "J Feliciano", "J Varitek", 
"L Powell", "M Grudzielanek", "M Tuiasosopo", "N Reimold", "N Stavinoha", 
"R Ankiel", "R Castro", "X Paul", "B Harris", "B Lillibridge", 
"B Wilson", "C Dickerson", "C Gillespie", "C Wells", "D Espinosa", 
"D Viciedo", "D Worth", "G Zaun", "J Arias", "J Hester", "J Maxwell", 
"K Blanks", "K Griffey", "M DeRosa", "M Downs", "M Stairs", "M Sweeney", 
"R Halladay", "R Langerhans", "T Greene", "A Everett", "A Ojeda", 
"A Wainwright", "B Carroll", "B Hayes", "C Carpenter", "C Miller", 
"D Barney", "J Brown", "J Ellsbury", "J Gerut", "J Gibbons", 
"J Jaramillo", "K Matsui", "L Duda", "M Carson", "M McCoy", "M Tolbert", 
"N Johnson", "R Wolf", "S Moore", "T Hudson", "U Jimenez", "B Arroyo", 
"B Ausmus", "B Morel", "B Myers", "C Billingsley", "C Hamels", 
"C Sullivan", "D Brown", "F Tatis", "H Blalock", "J Larish", 
"J Miranda", "M Cain", "M Pelfrey", "M Redmond", "R Lopez", "R Roberts", 
"T Hanson", "T Lincecum", "T Teagarden", "W Rodriguez", "Y Gallardo", 
"A Hernandez", "C Curtis", "C Gimenez", "C Richard", "G Matthews", 
"J Blanton", "J Dyson", "J Garland", "J Hammel", "J Johnson", 
"J LaRue", "J Mather", "J Reddick", "J Sanchez", "J Santana", 
"K Cash", "L Hernandez", "L Montanez", "R Andino", "R Dempster", 
"R Oswalt", "C Kershaw", "C Volstad", "C Zambrano", "D Bush", 
"D Haren", "D Lowe", "E Velez", "H Kuroda", "I Kennedy", "J Cueto", 
"J Francisco", "J Garcia", "J Miller", "J Niese", "M Hessman", 
"M Hoffpauir", "M Latos", "P Maholm", "R Dickey", "R Wells", 
"T Lilly", "W Ramos", "B Allen", "B Norris", "B Zito", "C Narveson", 
"E Nunez", "J Fields", "J Lannan", "J Towles", "K Correia", "K Kendrick", 
"K Russo", "L Durango", "M Leake", "O Martinez", "R Hughes", 
"R Mitchell", "R Nolasco", "S Tolleson", "T Buck", "W LeBlanc", 
"Z Duke", "A Cook", "A Harang", "C Ransom", "C Stammen", "C Valaika", 
"D Sardinha", "E Alfonzo", "E Jackson", "J Chacin", "J De La Rosa", 
"J Jurrjens", "L May", "M Bumgarner", "M Carp", "M Lamb", "M Mangini", 
"M Pagnozzi", "M Ryan", "R Ruiz", "S Cousins", "T Gorzelanny", 
"T Plouffe", "T Wood", "Y Navarro", "A Diaz", "B Anderson", "B Enright", 
"C Gentry", "C Silva", "D Descalso", "D Sutton", "E Byrnes", 
"E Kratz", "H Bailey", "J Arencibia", "J Donaldson", "J Hoffpauir", 
"J Karstens", "J Morales", "J Payton", "K Lohse", "L Anderson", 
"L Zawadzki", "M Parra", "N Evans", "R Garko", "R Quinlan", "W Taveras", 
"A De Aza", "B Barden", "B Bogusevic", "B Moss", "B Revere", 
"B Snyder", "C Morton", "D Hudson", "G Halman", "H Conger", "H Luna", 
"J Ely", "J Happ", "J Moyer", "K Medlen", "K Mench", "M Watson", 
"N Robertson", "R Ohlendorf", "S Fuld", "S Pearce", "V Padilla", 
"Y Alonso", "A Presley", "B Burres", "B Eldred", "B Petersen", 
"C Hu", "C Nelson", "F Catalanotto", "F Freeman", "F Paulino", 
"G Golson", "J Francis", "J Frazier", "J Marquis", "J Saltalamacchia", 
"J Saunders", "J Suppan", "J Westbrook", "K Kawakami", "L Atilano", 
"M Jacobs", "P Hoover", "P Phillips", "R Baldelli", "S Olsen", 
"T Oeltjen", "A Sanabia", "B Hawksworth", "B Penny", "C Capuano", 
"C Coleman", "C Huffman", "C Woodward", "D Jennings", "E Rogers", 
"E Volquez", "F Martinez", "H Takahashi", "J Reed", "J Van Every", 
"L Cruz", "N Figueroa", "O Navarro", "P McAnulty", "S Strasburg", 
"T Stauffer", "T Wellemeyer", "W Castillo", "B Lincoln", "B Scales", 
"C Aldridge", "C Moeller", "C Monasterios", "D Davis", "D Gee", 
"D Lucy", "D McCutchen", "E German", "G Smith", "J Lindsey", 
"J Martin", "J Mayberry", "L Carlin", "M Gamel", "M Hamilton", 
"M Owings", "M Rivera", "M Trumbo", "N Green", "R Rohlinger", 
"T Flowers", "A Miller", "A Romine", "A Stern", "B Moehler", 
"C Maldonado", "D Hernandez", "J Maine", "J Raynor", "J Turner", 
"J Weaver", "J Zimmermann", "K Schmidt", "M Batista", "M Baxter", 
"M McKenry", "M Minor", "M Nickeas", "M St. Pierre", "O Perez", 
"P Misch", "R Budde", "R Valdes", "S LeCure", "A Mendez", "A Ottavino", 
"B Boggs", "C Haeger", "C Hatcher", "C Lewis", "D Carrasco", 
"D Price", "E Sogard", "G Molina", "G Quiroz", "J Peavy", "L Hughes", 
"P Ciriaco", "P Walters", "R Detwiler", "R Shealy", "S Feldman", 
"S Gallagher", "S Kazmir", "T Diamond", "W Wright", "Y Maya", 
"Z Greinke", "A Galarraga", "B Bannister", "B Beachy", "B Bocock", 
"B Buckner", "B Hicks", "C Luebke", "C Pavano", "C Sabathia", 
"E Burriss", "F Carmona", "F Garcia", "J Lackey", "J Niemann", 
"J Vargas", "K Benson", "K Millwood", "M Belisle", "M Buehrle", 
"M Corpas", "M Talbot", "R Ortiz", "A Pettitte", "B Clevlen", 
"C Fisher", "C Martinez", "C Valdez", "C Villanueva", "C Wilson", 
"D Matsuzaka", "D Willis", "G Floyd", "G Gonzalez", "J Arrieta", 
"J Masterson", "J Russell", "J Samardzija", "J Verlander", "L Ondrusek", 
"N Romero", "R Romero", "R Rowland-Smith", "S Baker", "S Marcum", 
"S Marshall", "T Wakefield", "V Mazzaro", "B Bergesen", "B Esposito", 
"B Morrow", "B Sheets", "C Vargas", "J Danks", "J Guthrie", "J Lester", 
"J Martinez", "J Mejia", "J Pineiro", "J Smith", "M Boggs", "M Garza", 
"M Maloney", "R Franklin", "S Hill", "S West", "T Cahill", "V Worley", 
"A Cashner", "B Boyer", "B Cecil", "B Matusz", "C Durbin", "C Hensley", 
"D Fister", "D Herndon", "D Huff", "F Hernandez", "F Liriano", 
"G Mock", "J Bonderman", "J Ceda", "J Motte", "K Loe", "K McClellan", 
"M Atkins", "M Chico", "M Dunn", "M Mateo", "M McClendon", "T Byrdak", 
"T Clippard", "Z Kroenke", "A Oliver", "B Badenhop", "B Bass", 
"D Bautista", "D Reyes", "D Storen", "E Vasquez", "F Abad", "F Nieve", 
"H Bell", "J Affeldt", "J Beimel", "J Shields", "J Sosa", "K Slowey", 
"L Rosales", "M Rogers", "M Scherzer", "N Blackburn", "R Troncoso", 
"S Romo", "T Bell", "T Walker", "A Burnett", "B Chen", "B Duensing", 
"C Buchholz", "D Braden", "D Carpenter", "D Eveland", "E Frieri", 
"F Cordero", "G Chacin", "J Chavez", "J Crain", "J Fulchino", 
"K Davies", "L French", "M Capps", "M Delcarmen", "M Estrada", 
"O Dotel", "R Harden", "S Camp", "T Buchholz", "T Coffey", "T Evans", 
"W Davis", "A Heilman", "A Laffey", "A Lerew", "A Ogando", "B Parnell", 
"C Janssen", "C Park", "D Herrera", "D Nippert", "E Meek", "G Mota", 
"H Kuo", "J Litsch", "J Manship", "K Jansen", "L Hochevar", "M Harrison", 
"M Lincoln", "P Hughes", "R Lewis", "R Madson", "S O'Sullivan", 
"T Hoffman", "A Aceves", "A Sonnanstine", "B Sanches", "B Tallet", 
"C Tillman", "D Aardsma", "D Runzler", "H Street", "J Rincon", 
"J Thomas", "J Vazquez", "J Venters", "K Texeira", "M Acosta", 
"M Adams", "M Albers", "R Porcello", "R Webb", "S Shields", "T Ross", 
"T Saito", "T Schlichting", "A Bailey", "A Bastardo", "B Bray", 
"B Bruney", "C Balester", "C Bowers", "C Breslow", "D Baez", 
"D Bard", "E Bonine", "G Balfour", "H Ambriz", "J Axford", "J Benoit", 
"J Berg", "J Bergmann", "J Berken", "J Bisenius", "J Blevins", 
"J Boscan", "J Broxton", "R Belisario", "R Betancourt", "S Atchison", 
"Z Braddock", "A Chapman", "B Cassevah", "C Cordero", "C Daigle", 
"E Caridad", "E Del Rosario", "E Dessens", "J Buente", "J Bulger", 
"J Burke", "J Burton", "J Chamberlain", "J Contreras", "L Cormier", 
"M Daley", "P Coke", "R Choate", "S Burnett", "S Casilla", "S Cishek", 
"S Deduno", "S Demel", "B Donnelly", "B Fuentes", "C Gaudin", 
"D Ford", "E Escalona", "E Gonzalez", "F Francisco", "J English", 
"J Frasor", "J Grabow", "J Gray", "K Farnsworth", "K Gregg", 
"L Gregerson", "M Ekstrom", "N Feliz", "P Feliciano", "R Flores", 
"S Downs", "S Elbert", "S Gervacio", "S Green", "B Howry", "B Jenks", 
"B Kintzler", "B League", "C Jakubauskas", "C Kimbrel", "C Leroux", 
"D Hughes", "F Herrmann", "H Jones", "J Gutierrez", "J Hanrahan", 
"J Hellickson", "J Jeffress", "J Lewis", "K Jepsen", "L Hawkins", 
"M Guerrier", "M Hampton", "M Hendrickson", "R Igarashi", "S Jackson", 
"S Kelley", "W Joaquin", "W Ledezma", "B Lidge", "B Logan", "B Lyon", 
"B Medders", "C Marmol", "C Meredith", "D Marte", "D Meyer", 
"E MacLane", "F Mata", "G Majewski", "J Link", "J Marinez", "J Mijares", 
"M Lindstrom", "M MacDougal", "M Melancon", "N Masset", "R Mahay", 
"S Linebrink", "S Maine", "S Mathieson", "T Miller", "V Marte", 
"W Lopez", "D O'Day", "D Oliver", "D Pauley", "E Mujica", "E O'Flaherty", 
"F Morales", "F Ni", "G Olson", "H Okajima", "H Penn", "I Nova", 
"J Nelson", "J Norberto", "J Papelbon", "K Mulvey", "L Nunez", 
"L Perdomo", "P Moylan", "S Mitre", "T Pena", "W Ohman", "A Rhodes", 
"C Perez", "C Qualls", "C Ramos", "C Ray", "C Resop", "D Purcey", 
"D Richardson", "D Riske", "D Robertson", "F Rodney", "F Rodriguez", 
"J Putz", "J Rauch", "R Perez", "R Perry", "R Pinto", "R Ramirez", 
"R Rodriguez", "S Proctor", "S Rivera", "A Russell", "A Simon", 
"B Schlitter", "B Sinkbeil", "C Rosa", "C Sampson", "C Smith", 
"C Stewart", "D Slaten", "D Stange", "F Salas", "G Sherrill", 
"I Snell", "J Roenicke", "J Romero", "J Sborz", "J Soria", "J Stevens", 
"M Stetter", "R Soriano", "R Springer", "S Rosario", "S Santos", 
"T Sipp", "B Sweeney", "B Thomas", "B Wagner", "B Ziegler", "D Wheeler", 
"H Villar", "J Taschner", "J Thatcher", "J Valverde", "J Veras", 
"J Zumaya", "K Wood", "M Thornton", "M Wuertz", "M Zagurski", 
"R Tejeda", "R VandenHurk", "R Williams", "S Strickland", "S White", 
"T Stoner", "T Tankersley"), class = "factor"), team = structure(c(15L, 
13L, 18L, 5L, 11L, 3L, 2L, 12L, 13L, 4L, 11L, 6L, 9L, 7L, 14L, 
11L, 12L, 7L, 15L, 10L, 13L, 17L, 1L, 16L, 8L, 18L, 15L, 25L, 
14L, 26L, 3L, 22L, 18L, 10L, 21L, 16L, 24L, 23L, 10L, 19L, 5L, 
19L, 2L, 2L, 20L, 23L, 11L, 17L, 9L, 9L, 22L, 25L, 12L, 26L, 
29L, 26L, 15L, 5L, 13L, 19L, 23L, 29L, 9L, 24L, 19L, 30L, 11L, 
28L, 8L, 24L, 24L, 28L, 6L, 27L, 24L, 6L, 5L, 1L, 4L, 22L, 17L, 
6L, 17L, 7L, 9L, 26L, 26L, 28L, 30L, 29L, 30L, 23L, 13L, 29L, 
1L, 18L, 12L, 3L, 10L, 6L, 7L, 4L, 4L, 12L, 10L, 4L, 30L, 28L, 
29L, 11L, 19L, 12L, 20L, 28L, 19L, 4L, 3L, 14L, 17L, 9L, 1L, 
3L, 13L, 16L, 5L, 2L, 1L, 4L, 21L, 17L, 25L, 13L, 16L, 20L, 6L, 
16L, 20L, 1L, 9L, 5L, 2L, 2L, 5L, 27L, 14L, 20L, 21L, 16L, 18L, 
28L, 8L, 29L, 14L, 26L, 25L, 24L, 8L, 18L, 9L, 30L, 15L, 1L, 
26L, 16L, 25L, 29L, 25L, 13L, 23L, 2L, 18L, 21L, 30L, 8L, 27L, 
21L, 14L, 18L, 8L, 21L, 21L, 10L, 13L, 27L, 25L, 15L, 27L, 16L, 
22L, 8L, 6L, 24L, 30L, 19L, 3L, 15L, 22L, 22L, 20L, 20L, 21L, 
8L, 10L, 24L, 28L, 23L, 15L, 25L, 3L, 5L, 17L, 30L, 7L, 21L, 
12L, 17L, 24L, 26L, 10L, 27L, 29L, 26L, 5L, 14L, 6L, 20L, 6L, 
30L, 3L, 25L, 1L, 20L, 21L, 22L, 10L, 4L, 2L, 28L, 3L, 17L, 12L, 
7L, 26L, 27L, 19L, 27L, 12L, 14L, 6L, 11L, 22L, 28L, 29L, 14L, 
15L, 2L, 16L, 14L, 1L, 5L, 11L, 8L, 12L, 27L, 14L, 17L, 6L, 1L, 
13L, 30L, 7L, 27L, 1L, 21L, 7L, 28L, 22L, 6L, 12L, 7L, 23L, 25L, 
4L, 15L, 22L, 29L, 8L, 1L, 2L, 29L, 16L, 6L, 18L, 26L, 14L, 5L, 
2L, 27L, 29L, 9L, 1L, 8L, 30L, 28L, 28L, 21L, 23L, 19L, 3L, 17L, 
23L, 20L, 14L, 9L, 11L, 13L, 19L, 20L, 9L, 15L, 11L, 4L, 7L, 
10L, 29L, 23L, 4L, 4L, 4L, 2L, 10L, 7L, 19L, 9L, 15L, 6L, 25L, 
21L, 3L, 30L, 7L, 9L, 22L, 8L, 8L, 24L, 15L, 21L, 18L, 21L, 3L, 
8L, 27L, 23L, 19L, 23L, 26L, 18L, 25L, 4L, 24L, 3L, 10L, 3L, 
3L, 9L, 2L, 9L, 29L, 30L, 8L, 17L, 1L, 10L, 13L, 12L, 26L, 25L, 
19L, 27L, 10L, 11L, 22L, 18L, 25L, 7L, 16L, 6L, 12L, 11L, 2L, 
16L, 14L, 14L, 23L, 10L, 24L, 29L, 27L, 12L, 15L, 29L, 24L, 17L, 
17L, 7L, 10L, 1L, 16L, 18L, 1L, 2L, 5L, 16L, 2L, 15L, 28L, 3L, 
26L, 28L, 17L, 27L, 22L, 10L, 23L, 12L, 15L, 13L, 6L, 19L, 16L, 
30L, 5L, 30L, 14L, 11L, 14L, 15L, 18L, 18L, 15L, 5L, 11L, 7L, 
9L, 19L, 29L, 6L, 8L, 24L, 27L, 25L, 12L, 2L, 17L, 23L, 16L, 
26L, 6L, 20L, 28L, 19L, 22L, 3L, 22L, 1L, 21L, 11L, 22L, 10L, 
4L, 16L, 13L, 14L, 21L, 18L, 28L, 5L, 18L, 4L, 24L, 28L, 29L, 
29L, 19L, 5L, 23L, 19L, 13L, 7L, 10L, 17L, 11L, 27L, 7L, 10L, 
24L, 1L, 7L, 23L, 3L, 23L, 2L, 27L, 30L, 14L, 13L, 3L, 16L, 24L, 
13L, 20L, 22L, 22L, 1L, 27L, 4L, 29L, 8L, 21L, 28L, 2L, 24L, 
14L, 16L, 25L, 4L, 19L, 23L, 10L, 10L, 8L, 29L, 7L, 4L, 16L, 
19L, 14L, 10L, 22L, 11L, 18L, 1L, 23L, 20L, 30L, 24L, 20L, 20L, 
23L, 24L, 29L, 13L, 8L, 11L, 13L, 28L, 25L, 14L, 7L, 4L, 2L, 
22L, 7L, 18L, 19L, 14L, 23L, 30L, 14L, 22L, 7L, 22L, 28L, 10L, 
3L, 24L, 15L, 21L, 12L, 21L, 21L, 20L, 26L, 29L, 17L, 1L, 16L, 
9L, 24L, 19L, 22L, 15L, 30L, 4L, 15L, 22L, 4L, 8L, 4L, 23L, 12L, 
27L, 3L, 26L, 16L, 21L, 30L, 14L, 16L, 26L, 25L, 11L, 4L, 25L, 
19L, 18L, 18L, 25L, 9L, 16L, 15L, 28L, 28L, 20L, 23L, 5L, 28L, 
4L, 9L, 15L, 22L, 25L, 22L, 7L, 20L, 12L, 10L, 19L, 1L, 30L, 
12L, 20L, 7L, 25L, 25L, 24L, 25L, 10L, 24L, 16L, 30L, 25L, 23L, 
21L, 16L, 17L, 21L, 1L, 23L, 1L, 30L, 7L, 22L, 3L, 6L, 13L, 10L, 
10L, 21L, 25L, 19L, 21L, 24L, 30L, 9L, 22L, 17L, 25L, 5L, 20L, 
20L, 7L, 2L, 30L, 29L, 16L, 3L, 15L, 11L, 13L, 23L, 21L, 4L, 
11L, 7L, 14L, 4L, 16L, 23L, 11L, 25L, 3L, 5L, 29L, 9L, 27L, 16L, 
25L, 13L, 10L, 4L, 22L, 9L, 11L, 18L, 26L, 20L, 21L, 3L, 23L, 
10L, 30L, 24L, 5L, 4L, 30L, 9L, 9L, 23L, 1L, 7L, 23L, 25L, 23L, 
9L, 30L, 1L, 22L, 23L, 6L, 2L, 30L, 14L, 14L, 21L, 23L, 19L, 
11L, 23L, 7L, 18L, 18L, 30L, 20L, 25L, 12L, 18L, 30L, 22L, 3L, 
5L, 17L, 15L, 3L, 28L, 16L, 19L, 25L, 18L, 8L, 10L, 22L, 9L, 
16L, 12L, 15L, 8L, 1L, 19L, 24L, 5L, 29L, 21L, 6L, 5L, 1L, 3L, 
14L, 2L, 17L, 23L, 13L, 27L, 10L, 29L, 14L, 21L, 19L, 27L, 1L, 
4L, 5L, 28L, 26L, 20L, 1L, 27L, 3L, 28L, 4L, 13L, 26L, 3L, 15L, 
20L, 20L, 19L, 6L, 11L, 3L, 29L, 18L, 2L, 12L, 2L, 16L, 28L, 
5L, 7L, 16L, 17L, 2L, 2L, 16L, 15L, 3L, 4L, 25L, 23L, 26L, 30L, 
9L, 3L, 28L, 4L, 4L, 11L, 22L, 24L, 20L, 6L, 19L, 7L, 20L, 26L, 
22L, 30L, 30L, 1L, 24L, 15L, 22L, 15L, 24L, 27L, 19L, 12L, 11L, 
20L, 2L, 16L, 11L, 30L, 16L, 23L, 6L, 16L, 11L, 29L, 19L, 6L, 
17L, 12L, 22L, 30L, 10L, 19L, 30L, 27L, 6L, 7L, 29L, 22L, 25L, 
29L, 21L, 14L, 9L, 12L, 28L, 3L, 21L, 13L, 26L, 30L, 24L, 7L, 
1L, 8L, 11L, 4L, 12L, 8L, 17L, 21L, 21L, 12L, 11L, 9L, 25L, 15L, 
14L, 7L, 18L, 18L, 19L, 4L, 8L, 11L, 13L, 18L, 10L, 26L, 10L, 
27L, 8L, 26L, 4L, 26L, 29L, 24L, 12L, 25L, 29L, 18L, 9L, 18L, 
25L, 23L, 6L, 1L, 21L, 13L, 28L, 29L, 1L, 22L, 9L, 10L, 9L, 17L, 
21L, 26L, 8L, 25L, 2L, 13L, 1L, 14L, 15L, 13L, 23L, 14L, 2L, 
27L, 3L, 11L, 24L, 28L, 30L, 17L, 3L, 24L, 10L, 17L, 20L, 30L, 
2L, 21L, 30L, 28L, 6L, 1L, 28L, 11L, 4L, 28L, 10L, 23L, 22L, 
9L, 30L, 30L, 12L, 4L, 12L, 20L, 29L, 9L, 13L, 4L, 17L, 22L, 
6L, 24L, 15L, 17L, 7L, 21L, 21L, 7L, 3L, 19L, 23L, 25L, 26L, 
17L, 10L, 30L, 21L, 26L, 8L, 1L, 23L, 18L, 12L, 21L, 29L, 18L, 
26L, 9L, 13L, 7L, 6L, 20L, 20L, 23L, 14L, 26L, 12L, 19L, 19L, 
25L, 11L, 17L, 2L, 27L, 20L, 8L, 23L, 25L, 25L, 11L, 5L, 9L, 
29L, 22L, 15L, 1L, 11L, 15L, 25L, 25L, 27L, 24L, 7L, 5L, 10L, 
13L, 7L, 7L, 16L, 16L, 12L, 20L, 7L, 22L, 20L, 8L, 13L, 4L, 2L, 
24L, 29L, 7L, 2L, 22L, 12L, 16L, 10L, 13L, 21L, 1L, 14L, 19L, 
3L, 6L, 19L, 13L, 22L, 18L, 1L, 2L, 22L, 3L, 18L, 15L, 10L, 3L, 
13L, 15L, 5L, 25L, 14L, 27L, 27L, 6L, 22L, 1L, 26L, 5L, 19L, 
3L, 29L, 14L, 12L, 18L, 29L, 25L, 21L, 4L, 3L, 11L, 19L, 13L, 
9L, 23L, 19L, 9L, 26L, 24L, 19L, 22L, 14L, 16L, 7L, 5L, 6L, 20L, 
10L, 2L, 22L, 27L, 30L, 11L, 27L, 15L, 8L, 17L, 4L, 19L, 11L, 
20L, 14L, 23L, 22L, 15L, 22L, 10L, 8L, 14L, 6L, 5L, 6L, 22L, 
22L, 7L, 1L, 17L, 15L, 5L, 27L, 22L, 8L, 28L, 24L, 28L, 6L), .Label = c("ATL", 
"BAL", "BOS", "CIN", "CWS", "DET", "HOU", "KC", "LAA", "LAD", 
"MIL", "MIN", "NYY", "SD", "SEA", "STL", "TB", "TEX", "ARI", 
"CHC", "COL", "FLA", "NYM", "PHI", "PIT", "TOR", "CLE", "OAK", 
"SF", "WSH"), class = "factor"), position = structure(c(4L, 5L, 
3L, 4L, 2L, 5L, 4L, 4L, 2L, 2L, 4L, 4L, 2L, 4L, 3L, 3L, 1L, 4L, 
2L, 4L, 1L, 4L, 2L, 4L, 1L, 6L, 3L, 1L, 1L, 4L, 3L, 2L, 5L, 1L, 
4L, 1L, 4L, 3L, 2L, 2L, 5L, 4L, 4L, 1L, 4L, 4L, 1L, 3L, 4L, 4L, 
1L, 4L, 4L, 4L, 1L, 6L, 4L, 4L, 4L, 5L, 5L, 3L, 3L, 4L, 1L, 1L, 
4L, 1L, 5L, 3L, 4L, 3L, 5L, 4L, 1L, 1L, 1L, 1L, 1L, 5L, 4L, 6L, 
4L, 4L, 5L, 1L, 2L, 4L, 5L, 4L, 3L, 1L, 3L, 5L, 4L, 4L, 4L, 6L, 
4L, 3L, 2L, 4L, 4L, 7L, 3L, 4L, 4L, 5L, 4L, 5L, 3L, 2L, 4L, 7L, 
4L, 5L, 7L, 4L, 1L, 6L, 7L, 4L, 4L, 2L, 7L, 5L, 2L, 3L, 5L, 5L, 
5L, 4L, 7L, 3L, 4L, 4L, 5L, 4L, 1L, 4L, 6L, 7L, 2L, 4L, 2L, 2L, 
4L, 5L, 4L, 2L, 7L, 2L, 5L, 4L, 2L, 2L, 2L, 4L, 4L, 4L, 1L, 1L, 
7L, 3L, 7L, 7L, 4L, 4L, 4L, 3L, 4L, 1L, 7L, 6L, 6L, 7L, 4L, 2L, 
4L, 2L, 3L, 5L, 7L, 5L, 4L, 6L, 1L, 3L, 3L, 4L, 4L, 7L, 4L, 4L, 
1L, 5L, 4L, 4L, 4L, 4L, 4L, 4L, 5L, 5L, 6L, 4L, 1L, 3L, 4L, 3L, 
2L, 2L, 3L, 4L, 5L, 7L, 5L, 3L, 7L, 3L, 4L, 5L, 6L, 7L, 4L, 7L, 
5L, 2L, 4L, 7L, 3L, 1L, 3L, 7L, 7L, 7L, 4L, 4L, 2L, 2L, 3L, 1L, 
4L, 4L, 7L, 5L, 1L, 4L, 7L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 4L, 
4L, 4L, 7L, 3L, 6L, 2L, 7L, 6L, 7L, 5L, 7L, 4L, 7L, 7L, 5L, 4L, 
5L, 2L, 3L, 2L, 3L, 5L, 2L, 3L, 4L, 4L, 4L, 5L, 4L, 4L, 2L, 2L, 
3L, 4L, 7L, 5L, 5L, 3L, 2L, 4L, 4L, 3L, 4L, 2L, 4L, 4L, 4L, 2L, 
4L, 4L, 1L, 4L, 2L, 7L, 5L, 3L, 7L, 6L, 4L, 3L, 7L, 7L, 5L, 7L, 
5L, 4L, 7L, 7L, 4L, 3L, 5L, 7L, 4L, 7L, 3L, 1L, 5L, 2L, 4L, 7L, 
4L, 2L, 4L, 4L, 4L, 1L, 4L, 4L, 7L, 1L, 7L, 2L, 2L, 4L, 3L, 2L, 
3L, 4L, 7L, 2L, 2L, 4L, 3L, 4L, 2L, 4L, 4L, 3L, 3L, 4L, 1L, 7L, 
7L, 7L, 3L, 4L, 3L, 5L, 2L, 4L, 4L, 7L, 4L, 4L, 3L, 1L, 1L, 1L, 
4L, 2L, 7L, 4L, 1L, 2L, 4L, 4L, 7L, 5L, 1L, 4L, 4L, 4L, 4L, 7L, 
7L, 4L, 7L, 4L, 4L, 7L, 4L, 1L, 4L, 4L, 7L, 4L, 7L, 7L, 7L, 7L, 
4L, 6L, 6L, 2L, 7L, 7L, 4L, 3L, 4L, 6L, 5L, 4L, 5L, 4L, 3L, 2L, 
4L, 7L, 4L, 6L, 2L, 1L, 6L, 2L, 4L, 5L, 7L, 7L, 4L, 4L, 4L, 8L, 
1L, 7L, 2L, 2L, 6L, 4L, 8L, 4L, 5L, 5L, 4L, 2L, 7L, 4L, 7L, 8L, 
8L, 8L, 4L, 4L, 7L, 8L, 6L, 9L, 9L, 7L, 4L, 6L, 7L, 8L, 8L, 1L, 
8L, 8L, 4L, 3L, 1L, 8L, 1L, 4L, 7L, 6L, 8L, 7L, 8L, 8L, 4L, 8L, 
8L, 8L, 4L, 8L, 2L, 5L, 8L, 8L, 4L, 7L, 4L, 8L, 4L, 8L, 8L, 8L, 
4L, 7L, 9L, 8L, 4L, 8L, 4L, 4L, 8L, 8L, 7L, 8L, 3L, 8L, 3L, 8L, 
8L, 4L, 4L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 4L, 8L, 8L, 1L, 7L, 
1L, 8L, 8L, 8L, 8L, 8L, 3L, 3L, 8L, 3L, 5L, 8L, 4L, 2L, 8L, 1L, 
8L, 7L, 2L, 4L, 8L, 2L, 8L, 8L, 5L, 8L, 5L, 4L, 3L, 5L, 3L, 7L, 
8L, 5L, 8L, 8L, 8L, 6L, 8L, 6L, 8L, 7L, 4L, 7L, 8L, 1L, 3L, 8L, 
2L, 1L, 4L, 8L, 7L, 8L, 4L, 7L, 5L, 1L, 7L, 8L, 4L, 4L, 2L, 3L, 
3L, 7L, 8L, 8L, 5L, 8L, 1L, 4L, 8L, 1L, 7L, 4L, 7L, 3L, 8L, 2L, 
4L, 4L, 1L, 7L, 4L, 3L, 1L, 3L, 4L, 4L, 4L, 8L, 8L, 8L, 4L, 7L, 
4L, 8L, 8L, 4L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 4L, 3L, 8L, 4L, 1L, 
1L, 1L, 8L, 8L, 8L, 4L, 7L, 4L, 4L, 5L, 4L, 7L, 4L, 8L, 8L, 7L, 
8L, 1L, 8L, 4L, 8L, 9L, 7L, 8L, 5L, 1L, 8L, 8L, 8L, 4L, 5L, 8L, 
4L, 4L, 8L, 4L, 5L, 8L, 8L, 8L, 8L, 8L, 3L, 8L, 2L, 7L, 5L, 1L, 
7L, 1L, 8L, 7L, 8L, 8L, 7L, 4L, 8L, 2L, 5L, 3L, 8L, 7L, 8L, 1L, 
8L, 4L, 7L, 8L, 7L, 5L, 7L, 8L, 8L, 8L, 7L, 4L, 8L, 8L, 8L, 5L, 
8L, 8L, 7L, 2L, 8L, 1L, 9L, 7L, 8L, 7L, 4L, 2L, 8L, 4L, 2L, 8L, 
8L, 8L, 3L, 8L, 8L, 8L, 7L, 8L, 8L, 7L, 1L, 2L, 8L, 8L, 5L, 8L, 
8L, 8L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 5L, 8L, 2L, 8L, 8L, 8L, 
3L, 8L, 8L, 8L, 8L, 9L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 4L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 2L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 9L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 7L, 8L, 8L, 8L, 8L, 
7L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 5L, 8L, 8L, 5L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 4L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 7L, 
8L, 8L, 8L, 8L, 8L, 9L, 8L, 8L, 7L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 4L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 1L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 
8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L, 8L), .Label = c("1B", 
"2B", "3B", "OF", "SS", "DH", "C", "P", "-"), class = "factor"), 
    game = c(162, 157, 157, 160, 160, 150, 160, 153, 160, 155, 
    157, 151, 158, 156, 161, 157, 157, 157, 161, 162, 158, 154, 
    140, 158, 158, 152, 150, 158, 160, 157, 154, 159, 148, 161, 
    145, 159, 147, 157, 150, 154, 156, 156, 149, 154, 152, 151, 
    161, 151, 154, 152, 151, 154, 153, 161, 157, 150, 152, 147, 
    150, 151, 133, 152, 146, 155, 151, 158, 145, 159, 151, 132, 
    156, 143, 148, 144, 143, 150, 149, 148, 150, 142, 151, 145, 
    154, 141, 138, 154, 138, 143, 154, 153, 142, 147, 137, 148, 
    142, 133, 143, 145, 139, 144, 137, 150, 148, 137, 146, 148, 
    136, 156, 139, 145, 145, 126, 147, 131, 133, 123, 127, 136, 
    144, 145, 143, 139, 150, 137, 128, 150, 134, 133, 122, 135, 
    139, 136, 136, 124, 133, 144, 125, 147, 140, 131, 131, 130, 
    131, 122, 116, 135, 132, 139, 137, 124, 118, 111, 119, 110, 
    110, 115, 110, 138, 124, 134, 125, 128, 118, 137, 124, 108, 
    102, 120, 124, 97, 108, 118, 111, 106, 118, 112, 131, 103, 
    95, 133, 121, 97, 120, 97, 113, 109, 110, 109, 97, 117, 113, 
    121, 114, 133, 102, 108, 100, 91, 135, 130, 133, 91, 133, 
    88, 112, 95, 100, 95, 119, 108, 118, 135, 94, 134, 101, 109, 
    111, 96, 97, 102, 105, 85, 107, 95, 84, 105, 112, 89, 117, 
    105, 95, 119, 113, 91, 99, 97, 90, 82, 75, 113, 85, 85, 82, 
    72, 85, 88, 81, 104, 104, 97, 82, 75, 96, 117, 100, 82, 105, 
    99, 131, 107, 75, 84, 108, 91, 85, 100, 89, 72, 93, 98, 88, 
    87, 75, 88, 83, 80, 127, 68, 88, 65, 86, 102, 86, 73, 62, 
    72, 74, 85, 93, 103, 70, 119, 82, 60, 59, 77, 59, 85, 137, 
    81, 84, 72, 132, 105, 73, 76, 64, 106, 73, 77, 78, 77, 76, 
    61, 67, 82, 104, 79, 68, 60, 102, 70, 93, 102, 61, 73, 97, 
    91, 82, 77, 66, 67, 81, 51, 61, 54, 110, 61, 90, 114, 106, 
    51, 73, 52, 49, 88, 61, 87, 57, 51, 55, 72, 80, 62, 70, 100, 
    57, 68, 54, 97, 88, 53, 82, 48, 60, 54, 53, 97, 116, 59, 
    60, 63, 103, 80, 85, 69, 63, 67, 42, 46, 39, 43, 69, 47, 
    54, 51, 87, 48, 49, 102, 44, 79, 53, 85, 50, 55, 94, 42, 
    33, 58, 50, 56, 47, 59, 48, 69, 44, 59, 79, 45, 47, 39, 37, 
    44, 43, 39, 41, 39, 52, 33, 40, 30, 33, 44, 54, 43, 60, 37, 
    39, 45, 44, 67, 38, 28, 33, 28, 78, 30, 50, 30, 33, 64, 45, 
    40, 40, 38, 26, 36, 27, 31, 26, 33, 48, 41, 24, 29, 36, 46, 
    31, 30, 36, 59, 23, 18, 26, 33, 32, 35, 32, 37, 32, 34, 24, 
    32, 27, 28, 24, 24, 28, 32, 32, 27, 33, 33, 36, 21, 41, 31, 
    33, 57, 21, 26, 32, 22, 33, 31, 35, 33, 31, 32, 29, 27, 16, 
    22, 33, 32, 29, 29, 36, 28, 31, 33, 27, 31, 36, 28, 36, 32, 
    18, 29, 18, 26, 33, 34, 29, 30, 36, 22, 32, 31, 30, 20, 29, 
    20, 28, 29, 30, 29, 28, 28, 38, 15, 32, 30, 24, 15, 26, 30, 
    40, 25, 31, 32, 30, 13, 36, 31, 25, 32, 28, 32, 27, 14, 23, 
    17, 15, 22, 27, 17, 24, 25, 29, 27, 14, 14, 15, 20, 22, 13, 
    20, 22, 26, 25, 28, 13, 20, 15, 20, 15, 22, 13, 20, 39, 11, 
    36, 19, 14, 27, 21, 12, 17, 20, 19, 11, 18, 11, 21, 20, 27, 
    20, 11, 13, 9, 40, 18, 22, 18, 15, 20, 24, 23, 15, 15, 14, 
    10, 19, 22, 19, 12, 22, 13, 9, 27, 15, 35, 19, 19, 13, 17, 
    11, 31, 27, 7, 12, 16, 17, 17, 16, 18, 15, 19, 28, 13, 20, 
    25, 17, 12, 10, 11, 20, 7, 18, 17, 18, 23, 12, 9, 24, 14, 
    14, 12, 19, 13, 18, 9, 17, 9, 14, 17, 15, 14, 7, 12, 14, 
    10, 11, 13, 9, 21, 8, 24, 9, 7, 31, 11, 7, 30, 32, 12, 44, 
    51, 12, 10, 4, 7, 12, 8, 6, 9, 27, 9, 31, 25, 7, 5, 8, 13, 
    9, 10, 10, 7, 5, 11, 8, 11, 8, 14, 4, 5, 6, 10, 9, 18, 5, 
    11, 36, 3, 7, 20, 9, 17, 6, 5, 54, 9, 5, 6, 12, 4, 6, 4, 
    11, 4, 4, 8, 16, 46, 2, 2, 5, 5, 4, 2, 4, 2, 5, 4, 7, 59, 
    8, 2, 2, 8, 5, 3, 5, 2, 3, 3, 3, 3, 6, 2, 7, 51, 2, 2, 16, 
    3, 4, 2, 3, 16, 2, 2, 42, 69, 4, 73, 3, 2, 4, 17, 2, 2, 2, 
    74, 18, 2, 2, 2, 59, 2, 2, 2, 2, 57, 7, 9, 2, 47, 2, 5, 3, 
    2, 2, 1, 58, 2, 1, 2, 57, 2, 1, 4, 1, 1, 2, 7, 9, 30, 2, 
    38, 2, 1, 2, 35, 2, 16, 2, 5, 5, 1, 51, 59, 51, 1, 8, 1, 
    74, 25, 63, 1, 66, 1, 43, 1, 3, 1, 52, 21, 1, 67, 17, 1, 
    55, 39, 1, 56, 4, 67, 16, 1, 2, 3, 22, 50, 49, 55, 22, 1, 
    2, 22, 51, 53, 4, 29, 69, 64, 3, 2, 1, 1, 7, 2, 4, 45, 1, 
    40, 27, 1, 67, 70, 5, 2, 1, 9, 66, 5, 5, 1, 1, 1, 33, 46, 
    1, 1, 67, 32, 1, 48, 1, 1, 26, 5, 54, 1, 1, 2, 19, 1, 72, 
    55, 2, 66, 55, 2, 1, 2, 26, 41, 1, 1, 2, 4, 4, 40, 54, 57, 
    1, 13, 3, 5, 44, 2, 4, 10, 1, 4, 77, 51, 4, 1, 41, 67, 6, 
    1, 2, 47, 48, 4, 17, 8, 4, 23, 56, 8, 41, 4, 4, 68, 5, 4, 
    3, 1, 3, 44, 35, 5, 61, 19, 8, 2, 1, 69, 4, 4, 1, 8, 49, 
    1, 5, 15, 3, 3, 4, 63, 2, 6, 11, 28, 4, 11, 4, 35, 50, 34, 
    4, 2, 1, 7, 5, 1, 2, 23, 87, 6, 1, 43, 7, 6, 3, 3, 2, 6, 
    3, 26, 7, 11, 78, 2, 4, 55, 10, 69, 18, 1, 3, 5, 36, 4, 32, 
    10, 1, 10, 5, 4, 4, 3, 2, 21, 7, 5, 27, 23, 3, 48, 56, 1, 
    9, 3, 64, 78, 17, 2, 5, 13, 2, 4, 74, 3, 4, 78, 2, 2, 14, 
    20, 2, 11, 1, 56, 17, 2, 33, 84, 58, 2, 1, 3, 33, 1, 64, 
    3, 55, 6, 17, 3, 4, 2, 6, 3, 5, 1, 2, 3, 1, 4, 5, 1, 19, 
    6, 2, 4, 41, 5, 25, 13, 2, 6, 28, 23, 21, 66, 1, 22, 4, 5, 
    5, 48, 2, 3, 1, 57, 22, 2, 11, 26, 33, 3, 1, 7, 62, 5, 3, 
    4, 45, 2, 3, 1, 2, 7, 2, 4, 7, 16, 2, 1, 2, 1, 23, 20, 5, 
    62, 3, 4, 3, 1, 48, 8, 70, 7, 3, 1, 4, 24, 3, 4, 7, 6, 4), 
    at_bat = c(680, 663, 656, 651, 651, 632, 629, 629, 626, 626, 
    619, 618, 616, 614, 610, 610, 609, 605, 602, 602, 601, 600, 
    599, 596, 595, 593, 593, 592, 591, 590, 589, 589, 588, 588, 
    587, 587, 587, 587, 586, 585, 585, 584, 581, 581, 580, 579, 
    578, 574, 573, 573, 572, 570, 570, 569, 569, 569, 568, 567, 
    566, 565, 563, 563, 562, 561, 560, 558, 558, 556, 556, 554, 
    554, 551, 551, 550, 550, 548, 548, 547, 547, 543, 541, 539, 
    536, 535, 534, 534, 528, 525, 525, 525, 525, 523, 522, 521, 
    520, 518, 518, 518, 517, 514, 514, 514, 511, 510, 509, 509, 
    509, 508, 507, 506, 499, 497, 496, 495, 495, 494, 493, 490, 
    484, 482, 479, 478, 477, 476, 474, 473, 471, 471, 470, 468, 
    468, 466, 465, 465, 464, 464, 463, 458, 453, 453, 447, 446, 
    444, 442, 442, 440, 439, 439, 438, 436, 434, 431, 430, 428, 
    426, 425, 424, 419, 416, 414, 414, 412, 409, 409, 406, 406, 
    405, 403, 401, 401, 399, 398, 398, 396, 396, 394, 392, 391, 
    390, 387, 386, 383, 383, 381, 379, 376, 376, 376, 374, 373, 
    371, 371, 370, 364, 362, 361, 359, 358, 358, 358, 358, 352, 
    351, 350, 349, 348, 348, 347, 344, 344, 343, 342, 341, 341, 
    340, 339, 333, 332, 331, 331, 331, 328, 327, 325, 323, 322, 
    320, 319, 319, 319, 317, 317, 316, 316, 313, 313, 308, 303, 
    302, 301, 299, 298, 298, 297, 297, 296, 296, 295, 294, 291, 
    291, 290, 289, 289, 289, 288, 287, 284, 281, 278, 277, 276, 
    276, 275, 273, 270, 270, 267, 266, 266, 265, 262, 261, 259, 
    258, 255, 254, 253, 252, 250, 247, 247, 246, 244, 244, 243, 
    242, 242, 241, 240, 240, 238, 237, 236, 235, 233, 230, 229, 
    227, 226, 224, 224, 224, 222, 222, 222, 220, 219, 218, 216, 
    216, 215, 212, 212, 212, 212, 207, 206, 205, 205, 204, 203, 
    202, 202, 202, 202, 201, 200, 200, 198, 196, 195, 193, 193, 
    193, 191, 191, 188, 187, 186, 186, 181, 180, 180, 179, 179, 
    178, 176, 175, 172, 171, 170, 170, 169, 168, 167, 167, 166, 
    165, 165, 163, 163, 162, 162, 161, 160, 159, 159, 158, 158, 
    158, 158, 156, 155, 154, 152, 152, 151, 151, 150, 149, 147, 
    146, 145, 144, 144, 144, 143, 142, 142, 140, 139, 132, 131, 
    130, 129, 128, 128, 128, 127, 127, 126, 125, 124, 124, 123, 
    121, 121, 121, 120, 119, 116, 115, 114, 114, 112, 112, 112, 
    112, 111, 111, 110, 109, 108, 108, 108, 107, 106, 106, 104, 
    104, 104, 104, 103, 102, 102, 99, 99, 98, 98, 98, 98, 97, 
    97, 96, 95, 93, 93, 92, 92, 87, 87, 87, 86, 84, 84, 84, 82, 
    81, 79, 79, 79, 78, 78, 77, 77, 77, 77, 76, 75, 74, 72, 72, 
    71, 71, 71, 70, 69, 69, 68, 67, 67, 67, 66, 66, 65, 65, 64, 
    64, 64, 63, 63, 63, 63, 63, 62, 62, 62, 62, 62, 62, 62, 61, 
    61, 61, 61, 61, 60, 60, 59, 59, 59, 59, 59, 58, 58, 58, 58, 
    57, 57, 57, 57, 57, 56, 56, 56, 55, 55, 55, 55, 55, 55, 55, 
    54, 54, 54, 54, 54, 54, 54, 53, 53, 53, 53, 52, 52, 52, 52, 
    52, 51, 51, 51, 50, 49, 49, 49, 49, 48, 48, 48, 48, 47, 47, 
    47, 46, 45, 44, 44, 44, 44, 44, 44, 43, 42, 42, 42, 42, 41, 
    41, 41, 40, 40, 40, 40, 39, 39, 39, 39, 39, 39, 38, 38, 38, 
    38, 38, 37, 37, 37, 37, 37, 36, 36, 36, 35, 35, 35, 35, 35, 
    35, 34, 34, 34, 34, 33, 33, 33, 33, 33, 33, 33, 32, 32, 32, 
    31, 31, 30, 30, 30, 29, 29, 29, 29, 29, 28, 28, 28, 28, 27, 
    27, 27, 27, 27, 27, 26, 26, 26, 26, 26, 26, 26, 26, 25, 25, 
    25, 25, 25, 24, 24, 24, 24, 24, 24, 24, 24, 24, 23, 23, 23, 
    23, 23, 23, 23, 22, 22, 22, 22, 22, 21, 21, 21, 20, 20, 20, 
    20, 20, 20, 19, 19, 19, 18, 18, 18, 18, 17, 17, 17, 17, 17, 
    16, 16, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 
    13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 11, 11, 11, 11, 
    10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 
    8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 
    7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 
    5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 
    4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 
    4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
    3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
    2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
    1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), run = c(74, 
    111, 99, 96, 112, 92, 79, 85, 103, 100, 101, 103, 67, 93, 
    77, 70, 93, 67, 62, 82, 113, 110, 100, 95, 77, 83, 49, 64, 
    87, 79, 84, 100, 88, 67, 111, 115, 84, 87, 72, 93, 83, 94, 
    76, 63, 84, 80, 94, 96, 88, 76, 72, 94, 77, 109, 100, 57, 
    61, 89, 91, 83, 83, 61, 61, 75, 75, 85, 91, 79, 60, 76, 106, 
    59, 60, 81, 87, 111, 89, 80, 106, 92, 77, 81, 89, 84, 69, 
    75, 70, 66, 59, 71, 85, 73, 74, 64, 83, 95, 68, 86, 71, 47, 
    62, 91, 77, 88, 56, 80, 60, 64, 84, 57, 79, 80, 67, 55, 73, 
    64, 64, 63, 64, 55, 63, 69, 97, 66, 43, 42, 65, 66, 89, 71, 
    42, 76, 34, 61, 49, 85, 53, 50, 60, 73, 70, 37, 58, 48, 49, 
    47, 73, 50, 60, 45, 39, 55, 53, 70, 57, 75, 63, 54, 53, 52, 
    37, 52, 53, 36, 42, 58, 61, 55, 43, 40, 60, 48, 32, 46, 46, 
    55, 60, 73, 46, 43, 54, 66, 49, 39, 38, 47, 41, 50, 41, 41, 
    54, 43, 54, 31, 77, 22, 45, 60, 60, 45, 55, 46, 48, 48, 50, 
    48, 40, 42, 44, 36, 53, 43, 40, 41, 44, 57, 37, 47, 45, 32, 
    42, 47, 30, 31, 56, 47, 38, 44, 40, 34, 47, 33, 39, 31, 39, 
    30, 43, 41, 53, 39, 30, 39, 36, 38, 36, 39, 53, 34, 28, 38, 
    46, 51, 41, 30, 29, 39, 47, 41, 38, 41, 24, 36, 48, 22, 33, 
    22, 22, 27, 27, 36, 13, 29, 28, 24, 17, 31, 25, 26, 24, 30, 
    28, 26, 44, 28, 43, 26, 34, 30, 26, 24, 28, 30, 22, 32, 31, 
    31, 28, 29, 34, 20, 27, 23, 25, 27, 19, 34, 21, 25, 23, 30, 
    28, 18, 22, 27, 24, 22, 19, 29, 19, 12, 16, 25, 22, 24, 17, 
    17, 33, 30, 23, 21, 32, 26, 16, 29, 17, 30, 22, 20, 26, 19, 
    23, 19, 30, 22, 22, 24, 24, 17, 10, 26, 31, 31, 18, 14, 9, 
    15, 13, 17, 18, 16, 13, 26, 24, 24, 23, 24, 15, 23, 18, 10, 
    11, 17, 31, 8, 18, 26, 27, 16, 19, 23, 17, 17, 11, 20, 11, 
    14, 16, 19, 12, 15, 5, 14, 17, 19, 10, 7, 16, 9, 15, 19, 
    12, 19, 17, 19, 11, 16, 16, 15, 11, 7, 17, 9, 18, 12, 11, 
    9, 13, 18, 20, 10, 15, 10, 8, 6, 12, 11, 16, 9, 10, 11, 14, 
    16, 17, 16, 14, 11, 14, 11, 18, 9, 6, 19, 11, 8, 12, 9, 9, 
    14, 14, 6, 9, 2, 8, 8, 9, 11, 4, 9, 6, 12, 7, 6, 7, 10, 6, 
    4, 5, 11, 13, 11, 5, 2, 12, 7, 4, 10, 8, 6, 8, 5, 4, 5, 2, 
    3, 8, 9, 6, 2, 7, 6, 4, 8, 7, 7, 4, 1, 8, 3, 2, 2, 5, 2, 
    6, 6, 2, 5, 7, 1, 7, 8, 7, 3, 0, 3, 9, 6, 9, 2, 11, 3, 6, 
    2, 2, 6, 3, 1, 3, 8, 6, 4, 2, 5, 7, 3, 2, 8, 7, 3, 1, 1, 
    6, 9, 6, 3, 5, 3, 10, 1, 5, 7, 2, 1, 12, 5, 3, 5, 5, 5, 8, 
    7, 5, 3, 3, 3, 4, 5, 4, 4, 1, 2, 9, 2, 8, 6, 3, 4, 6, 4, 
    3, 7, 0, 5, 1, 3, 2, 7, 2, 4, 3, 5, 5, 2, 2, 2, 3, 1, 2, 
    1, 3, 1, 5, 4, 4, 4, 3, 2, 3, 7, 4, 6, 1, 2, 2, 1, 0, 1, 
    0, 4, 0, 4, 1, 1, 1, 3, 0, 5, 7, 2, 2, 2, 1, 2, 4, 2, 5, 
    3, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 5, 2, 1, 0, 0, 2, 
    7, 1, 3, 4, 3, 1, 2, 0, 1, 1, 2, 3, 3, 2, 5, 4, 2, 0, 2, 
    6, 1, 2, 0, 5, 2, 1, 3, 2, 2, 1, 0, 2, 1, 6, 0, 0, 1, 1, 
    2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 4, 0, 1, 2, 1, 
    2, 0, 0, 0, 5, 2, 4, 2, 0, 0, 0, 0, 4, 2, 2, 1, 0, 2, 0, 
    0, 0, 0, 1, 1, 1, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 
    3, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 3, 0, 0, 0, 7, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 3, 0, 
    0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), hit = c(214, 179, 
    186, 179, 175, 174, 187, 166, 200, 172, 188, 181, 172, 173, 
    161, 174, 165, 149, 156, 150, 154, 184, 184, 186, 189, 178, 
    142, 146, 176, 161, 189, 169, 156, 157, 197, 183, 152, 166, 
    158, 166, 165, 150, 165, 144, 170, 168, 151, 169, 146, 161, 
    156, 163, 170, 148, 165, 135, 139, 161, 163, 157, 159, 151, 
    149, 154, 146, 145, 158, 152, 144, 165, 164, 136, 137, 165, 
    152, 180, 171, 142, 177, 163, 129, 146, 127, 142, 135, 130, 
    108, 149, 141, 141, 161, 138, 141, 129, 144, 186, 129, 140, 
    151, 127, 148, 131, 136, 167, 126, 143, 129, 127, 136, 119, 
    99, 133, 128, 120, 135, 130, 149, 123, 95, 132, 129, 122, 
    132, 126, 128, 109, 151, 134, 148, 119, 120, 115, 122, 112, 
    119, 128, 139, 117, 108, 110, 127, 111, 112, 111, 118, 115, 
    114, 98, 121, 127, 111, 126, 105, 112, 126, 117, 129, 122, 
    105, 102, 90, 99, 115, 89, 102, 124, 121, 106, 95, 108, 127, 
    102, 106, 101, 110, 106, 96, 112, 121, 91, 99, 115, 95, 105, 
    105, 89, 83, 87, 98, 98, 104, 112, 99, 95, 111, 82, 93, 96, 
    91, 94, 88, 112, 102, 85, 95, 90, 76, 89, 85, 95, 86, 85, 
    105, 95, 91, 89, 86, 81, 82, 74, 76, 85, 78, 88, 98, 90, 
    84, 90, 86, 66, 84, 81, 90, 82, 75, 93, 83, 89, 87, 77, 93, 
    73, 76, 73, 79, 75, 102, 62, 67, 72, 68, 81, 77, 59, 61, 
    79, 86, 77, 72, 64, 70, 82, 78, 53, 68, 62, 56, 64, 72, 77, 
    62, 51, 62, 66, 58, 69, 56, 69, 60, 70, 58, 51, 68, 50, 69, 
    67, 52, 46, 60, 68, 71, 58, 50, 65, 63, 60, 64, 53, 55, 33, 
    56, 53, 41, 53, 48, 63, 56, 44, 52, 52, 46, 46, 44, 53, 43, 
    61, 54, 56, 40, 40, 51, 61, 54, 53, 52, 56, 51, 58, 52, 43, 
    61, 40, 45, 56, 48, 58, 45, 37, 40, 46, 47, 37, 47, 39, 49, 
    48, 34, 43, 42, 42, 49, 45, 39, 35, 37, 44, 41, 46, 30, 48, 
    32, 41, 35, 42, 39, 40, 34, 41, 42, 32, 40, 31, 39, 28, 35, 
    42, 38, 33, 36, 39, 39, 45, 36, 37, 29, 32, 36, 32, 28, 36, 
    30, 39, 38, 31, 28, 25, 36, 34, 27, 29, 22, 30, 30, 26, 24, 
    27, 28, 35, 31, 23, 25, 24, 32, 28, 32, 24, 24, 26, 28, 26, 
    22, 30, 23, 30, 25, 17, 21, 27, 27, 24, 23, 15, 32, 22, 16, 
    27, 23, 26, 27, 23, 18, 22, 20, 21, 22, 20, 18, 30, 24, 13, 
    20, 13, 20, 18, 17, 17, 14, 16, 15, 19, 14, 15, 17, 15, 16, 
    15, 8, 19, 15, 21, 18, 8, 12, 14, 10, 11, 13, 18, 15, 10, 
    10, 12, 7, 7, 13, 15, 12, 5, 14, 12, 14, 16, 16, 13, 12, 
    9, 13, 6, 11, 7, 12, 11, 18, 15, 9, 9, 13, 8, 13, 7, 11, 
    8, 5, 6, 18, 11, 11, 8, 12, 6, 13, 8, 8, 12, 11, 5, 15, 20, 
    7, 3, 2, 13, 9, 11, 6, 10, 11, 6, 2, 5, 7, 18, 8, 10, 9, 
    14, 12, 9, 12, 13, 5, 6, 14, 15, 16, 9, 14, 3, 12, 9, 16, 
    10, 8, 9, 7, 12, 6, 11, 4, 13, 14, 7, 14, 7, 6, 6, 8, 9, 
    7, 6, 3, 6, 5, 6, 7, 7, 5, 14, 8, 8, 6, 7, 8, 9, 10, 7, 11, 
    5, 7, 7, 11, 7, 8, 7, 5, 6, 12, 7, 7, 9, 7, 4, 6, 7, 8, 8, 
    3, 7, 2, 4, 9, 3, 5, 4, 2, 6, 9, 6, 6, 5, 4, 4, 8, 5, 5, 
    4, 5, 2, 4, 5, 3, 8, 5, 0, 1, 4, 2, 2, 4, 5, 5, 1, 3, 4, 
    7, 3, 5, 6, 4, 5, 3, 2, 7, 2, 4, 5, 6, 3, 5, 5, 6, 2, 2, 
    5, 3, 3, 1, 4, 1, 3, 6, 2, 1, 6, 1, 2, 3, 4, 3, 1, 3, 3, 
    3, 5, 4, 4, 3, 2, 0, 1, 3, 6, 4, 5, 3, 1, 5, 2, 1, 3, 1, 
    3, 0, 1, 0, 3, 2, 4, 4, 3, 2, 1, 2, 4, 1, 1, 3, 1, 4, 0, 
    0, 1, 2, 2, 4, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 
    1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 3, 0, 0, 
    3, 1, 0, 0, 0, 0, 0, 3, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 
    2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 
    0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 
    1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), double = c(30, 30, 
    36, 18, 32, 38, 45, 24, 41, 33, 45, 34, 41, 29, 29, 38, 37, 
    29, 21, 25, 36, 30, 40, 45, 45, 27, 29, 34, 33, 44, 49, 31, 
    15, 41, 34, 39, 26, 36, 15, 36, 29, 33, 25, 29, 39, 31, 25, 
    46, 41, 36, 37, 35, 46, 35, 35, 32, 25, 29, 33, 33, 29, 34, 
    27, 37, 37, 36, 34, 33, 29, 27, 46, 32, 30, 31, 23, 45, 30, 
    35, 36, 28, 28, 36, 38, 25, 18, 37, 22, 28, 27, 28, 32, 33, 
    29, 24, 29, 40, 23, 36, 33, 28, 34, 19, 24, 43, 28, 23, 17, 
    26, 43, 14, 17, 24, 40, 18, 27, 33, 32, 27, 18, 24, 25, 24, 
    20, 18, 29, 13, 15, 34, 32, 27, 29, 17, 19, 21, 26, 28, 31, 
    27, 24, 25, 29, 22, 25, 24, 23, 24, 20, 19, 11, 24, 18, 22, 
    13, 31, 29, 20, 16, 26, 20, 18, 20, 18, 25, 12, 22, 23, 21, 
    21, 16, 16, 31, 18, 18, 17, 29, 17, 11, 20, 8, 21, 14, 23, 
    23, 16, 21, 19, 15, 18, 25, 15, 25, 28, 19, 19, 26, 14, 21, 
    20, 18, 20, 19, 23, 15, 16, 19, 20, 14, 21, 16, 11, 19, 16, 
    22, 20, 19, 18, 16, 16, 13, 15, 12, 25, 17, 14, 17, 19, 9, 
    11, 18, 9, 21, 13, 12, 18, 14, 18, 16, 20, 24, 13, 18, 16, 
    20, 9, 20, 19, 25, 10, 12, 11, 7, 14, 16, 9, 11, 15, 19, 
    15, 21, 12, 9, 20, 16, 12, 18, 13, 11, 17, 11, 12, 10, 15, 
    12, 21, 7, 8, 12, 17, 11, 9, 4, 8, 23, 9, 20, 11, 10, 12, 
    4, 13, 12, 4, 6, 7, 10, 13, 14, 10, 13, 2, 17, 9, 6, 11, 
    12, 6, 11, 16, 13, 15, 12, 13, 6, 13, 12, 7, 7, 13, 6, 6, 
    8, 11, 10, 11, 6, 7, 10, 12, 10, 10, 15, 8, 11, 5, 11, 12, 
    11, 6, 8, 8, 14, 6, 6, 6, 8, 13, 10, 9, 6, 5, 14, 10, 7, 
    6, 10, 9, 4, 10, 6, 11, 7, 11, 10, 11, 14, 11, 5, 7, 11, 
    8, 10, 8, 11, 6, 1, 7, 9, 8, 11, 13, 6, 11, 8, 4, 3, 6, 8, 
    7, 6, 8, 7, 5, 12, 4, 5, 5, 8, 5, 6, 6, 5, 6, 4, 4, 5, 4, 
    8, 13, 4, 9, 6, 5, 2, 7, 4, 7, 4, 6, 3, 8, 3, 0, 7, 5, 4, 
    3, 2, 7, 5, 8, 3, 6, 7, 4, 6, 7, 6, 3, 5, 4, 2, 5, 2, 7, 
    6, 7, 3, 6, 7, 0, 7, 2, 4, 2, 5, 6, 5, 4, 5, 4, 2, 3, 3, 
    4, 6, 4, 0, 4, 4, 2, 5, 0, 4, 4, 1, 1, 1, 1, 3, 0, 2, 3, 
    0, 1, 4, 3, 4, 0, 2, 1, 2, 3, 4, 4, 2, 1, 3, 0, 1, 0, 3, 
    3, 4, 3, 1, 2, 0, 1, 4, 0, 3, 1, 0, 0, 1, 5, 3, 0, 4, 1, 
    2, 0, 0, 1, 1, 0, 3, 6, 2, 0, 0, 3, 2, 1, 0, 1, 1, 2, 0, 
    1, 1, 2, 4, 2, 3, 4, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 3, 2, 
    0, 2, 1, 2, 3, 3, 1, 3, 1, 1, 2, 0, 6, 2, 4, 2, 0, 0, 0, 
    1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 4, 2, 0, 1, 0, 3, 1, 2, 
    2, 1, 1, 2, 3, 2, 1, 1, 1, 2, 4, 0, 2, 2, 1, 0, 2, 0, 1, 
    1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 3, 2, 2, 1, 1, 1, 2, 0, 
    3, 1, 0, 0, 2, 1, 0, 3, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 
    1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 3, 1, 2, 1, 1, 0, 1, 0, 
    0, 2, 1, 0, 0, 1, 1, 0, 4, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 
    0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 3, 0, 0, 0, 0, 0, 3, 
    0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), triple = c(3, 
    3, 3, 3, 4, 0, 3, 10, 3, 5, 1, 10, 4, 3, 3, 1, 5, 1, 2, 6, 
    0, 13, 3, 1, 0, 1, 0, 1, 0, 3, 2, 0, 3, 2, 9, 1, 10, 3, 2, 
    5, 2, 0, 5, 1, 2, 7, 0, 5, 1, 0, 3, 5, 1, 3, 5, 3, 3, 3, 
    3, 12, 10, 3, 2, 5, 2, 2, 4, 5, 2, 2, 2, 1, 2, 2, 5, 1, 1, 
    0, 2, 2, 2, 5, 4, 6, 4, 2, 0, 3, 4, 3, 0, 1, 2, 2, 5, 3, 
    3, 1, 1, 5, 1, 6, 3, 1, 1, 5, 7, 8, 8, 10, 2, 5, 3, 2, 3, 
    0, 1, 2, 0, 1, 0, 2, 7, 1, 0, 1, 3, 3, 3, 3, 3, 7, 0, 1, 
    3, 3, 5, 3, 1, 2, 1, 1, 2, 3, 0, 5, 14, 3, 4, 0, 0, 1, 2, 
    5, 3, 2, 3, 2, 0, 3, 1, 0, 0, 2, 1, 2, 4, 1, 2, 0, 3, 1, 
    1, 2, 0, 6, 7, 1, 6, 0, 2, 7, 1, 1, 3, 0, 1, 1, 0, 6, 1, 
    1, 2, 6, 5, 2, 1, 3, 5, 2, 5, 3, 1, 3, 0, 6, 0, 1, 1, 1, 
    2, 1, 2, 2, 3, 3, 3, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 4, 3, 
    0, 0, 0, 5, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 3, 2, 3, 1, 0, 
    0, 3, 3, 4, 0, 3, 2, 5, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 
    2, 3, 2, 0, 0, 0, 2, 0, 2, 4, 1, 1, 4, 2, 0, 0, 1, 7, 2, 
    0, 1, 2, 3, 1, 0, 1, 0, 0, 2, 0, 0, 3, 0, 2, 0, 2, 1, 0, 
    2, 3, 1, 0, 3, 0, 1, 3, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 
    0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 3, 1, 1, 5, 1, 1, 4, 3, 
    1, 3, 0, 0, 0, 1, 1, 0, 1, 2, 3, 0, 0, 0, 1, 1, 2, 0, 1, 
    1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 4, 2, 0, 0, 0, 1, 
    1, 0, 0, 0, 1, 1, 0, 1, 5, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 
    0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 
    0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 
    1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0), home_run = c(6, 10, 21, 1, 29, 11, 12, 3, 29, 18, 25, 
    4, 10, 25, 11, 23, 14, 24, 1, 28, 33, 19, 15, 28, 15, 29, 
    10, 21, 31, 31, 28, 33, 0, 10, 34, 42, 18, 29, 2, 26, 18, 
    27, 19, 22, 12, 11, 32, 22, 20, 23, 19, 16, 21, 54, 26, 23, 
    12, 21, 29, 15, 11, 13, 10, 16, 25, 38, 31, 10, 16, 6, 27, 
    16, 15, 22, 31, 38, 39, 19, 37, 21, 10, 8, 18, 2, 5, 20, 
    26, 5, 10, 14, 25, 19, 30, 24, 18, 32, 21, 32, 23, 13, 6, 
    22, 18, 9, 17, 25, 0, 6, 16, 4, 32, 6, 24, 13, 17, 4, 20, 
    17, 28, 21, 21, 22, 5, 5, 9, 1, 8, 20, 27, 4, 8, 24, 6, 25, 
    14, 23, 3, 4, 26, 26, 27, 11, 9, 2, 1, 5, 6, 2, 3, 5, 0, 
    7, 10, 8, 12, 16, 8, 12, 15, 11, 9, 16, 20, 5, 13, 18, 4, 
    10, 11, 7, 22, 8, 4, 16, 13, 14, 13, 9, 5, 8, 18, 8, 18, 
    3, 4, 25, 12, 7, 10, 5, 15, 8, 16, 3, 19, 2, 22, 5, 20, 13, 
    17, 5, 0, 8, 13, 6, 13, 16, 18, 2, 9, 3, 11, 10, 6, 5, 4, 
    21, 5, 14, 11, 17, 8, 7, 12, 17, 3, 2, 9, 15, 10, 6, 7, 4, 
    17, 7, 8, 1, 12, 8, 7, 13, 14, 3, 9, 4, 18, 10, 7, 5, 8, 
    8, 18, 3, 10, 5, 4, 9, 11, 19, 4, 13, 25, 2, 8, 6, 5, 6, 
    0, 15, 4, 3, 0, 7, 1, 7, 4, 6, 1, 0, 0, 4, 11, 8, 2, 3, 8, 
    6, 0, 1, 4, 9, 5, 4, 8, 4, 4, 11, 3, 4, 7, 0, 10, 1, 6, 1, 
    7, 5, 5, 10, 1, 1, 1, 3, 9, 12, 3, 4, 3, 4, 2, 5, 2, 2, 3, 
    3, 8, 4, 5, 7, 8, 2, 1, 11, 0, 1, 7, 9, 6, 0, 8, 6, 0, 8, 
    1, 6, 2, 6, 2, 0, 9, 3, 5, 0, 1, 4, 6, 0, 2, 4, 5, 4, 2, 
    4, 1, 0, 3, 0, 3, 3, 1, 5, 8, 2, 0, 1, 6, 5, 1, 6, 1, 1, 
    1, 9, 7, 2, 3, 3, 2, 1, 1, 0, 1, 3, 2, 0, 6, 3, 0, 3, 4, 
    4, 4, 2, 1, 0, 0, 2, 2, 1, 2, 3, 8, 4, 0, 3, 2, 7, 3, 1, 
    7, 0, 3, 0, 0, 1, 3, 1, 2, 2, 2, 3, 5, 6, 3, 2, 6, 6, 0, 
    1, 0, 2, 0, 1, 4, 2, 1, 4, 4, 0, 0, 1, 1, 3, 2, 4, 0, 0, 
    0, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 5, 2, 1, 2, 2, 0, 4, 3, 
    1, 2, 1, 0, 2, 0, 0, 2, 3, 2, 0, 3, 0, 0, 1, 4, 0, 0, 0, 
    2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 
    1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 
    0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 
    3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 3, 0, 
    0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 3, 1, 
    0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 
    0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
    1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 
    0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
    0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), 
    rbi = c(43, 67, 91, 47, 83, 56, 60, 58, 109, 59, 103, 41, 
    75, 91, 58, 104, 81, 89, 35, 89, 108, 90, 66, 103, 78, 115, 
    58, 86, 101, 88, 102, 105, 35, 88, 117, 118, 69, 103, 29, 
    71, 70, 91, 69, 76, 66, 69, 83, 104, 78, 90, 85, 56, 112, 
    124, 86, 72, 64, 88, 89, 61, 54, 63, 56, 83, 100, 103, 102, 
    57, 78, 52, 85, 71, 81, 90, 108, 126, 111, 80, 113, 76, 75, 
    51, 62, 38, 29, 67, 68, 52, 65, 65, 85, 71, 125, 85, 72, 
    100, 92, 102, 82, 70, 59, 77, 86, 75, 64, 70, 24, 46, 63, 
    41, 85, 37, 79, 71, 69, 42, 79, 69, 84, 84, 77, 68, 47, 42, 
    56, 28, 47, 83, 95, 47, 38, 67, 62, 83, 67, 66, 41, 42, 68, 
    87, 72, 55, 49, 36, 29, 52, 36, 36, 42, 49, 37, 47, 50, 36, 
    66, 65, 32, 65, 52, 47, 51, 71, 66, 40, 45, 67, 35, 49, 54, 
    39, 78, 37, 49, 62, 50, 58, 51, 45, 44, 50, 61, 43, 57, 29, 
    34, 57, 41, 36, 54, 39, 62, 53, 56, 30, 62, 25, 59, 28, 56, 
    44, 52, 37, 23, 41, 52, 47, 48, 64, 46, 30, 40, 31, 52, 39, 
    38, 44, 35, 51, 26, 34, 34, 50, 31, 37, 59, 53, 22, 25, 34, 
    48, 46, 33, 45, 37, 47, 48, 32, 36, 41, 45, 40, 49, 32, 22, 
    43, 24, 56, 36, 31, 24, 28, 38, 51, 20, 33, 31, 27, 36, 51, 
    48, 26, 43, 59, 24, 43, 43, 25, 38, 38, 41, 20, 22, 19, 37, 
    21, 31, 39, 34, 20, 25, 17, 16, 23, 29, 18, 22, 20, 24, 20, 
    25, 36, 27, 27, 16, 32, 25, 15, 36, 17, 14, 31, 18, 32, 25, 
    29, 21, 27, 25, 26, 40, 15, 17, 22, 27, 26, 33, 11, 21, 18, 
    15, 21, 40, 22, 15, 17, 17, 21, 28, 25, 22, 40, 8, 13, 39, 
    14, 19, 28, 27, 16, 5, 26, 15, 10, 25, 11, 28, 13, 35, 19, 
    8, 24, 17, 19, 20, 13, 24, 12, 13, 9, 18, 15, 24, 19, 15, 
    26, 14, 12, 8, 22, 16, 19, 17, 33, 12, 18, 20, 23, 21, 11, 
    22, 7, 13, 15, 25, 12, 13, 17, 14, 13, 8, 9, 9, 15, 19, 8, 
    13, 22, 15, 13, 9, 11, 10, 15, 14, 7, 3, 11, 28, 9, 4, 9, 
    14, 21, 18, 9, 10, 11, 16, 14, 10, 23, 11, 16, 16, 3, 4, 
    4, 9, 8, 12, 10, 12, 13, 15, 15, 14, 16, 18, 9, 2, 7, 16, 
    5, 7, 15, 7, 10, 17, 15, 5, 2, 6, 18, 10, 13, 13, 6, 3, 4, 
    2, 9, 5, 6, 5, 6, 4, 4, 5, 7, 17, 9, 4, 8, 8, 1, 6, 7, 2, 
    8, 8, 2, 9, 5, 1, 9, 7, 6, 1, 10, 4, 2, 7, 10, 5, 4, 3, 13, 
    4, 2, 3, 5, 1, 6, 2, 3, 5, 8, 1, 3, 1, 8, 2, 4, 1, 3, 8, 
    1, 3, 5, 2, 5, 3, 1, 2, 5, 0, 7, 7, 6, 1, 0, 4, 8, 4, 2, 
    2, 2, 3, 1, 2, 2, 11, 3, 4, 5, 4, 8, 3, 6, 5, 0, 2, 7, 6, 
    7, 4, 4, 0, 4, 1, 3, 4, 3, 8, 1, 6, 5, 6, 4, 1, 16, 2, 2, 
    2, 4, 5, 5, 4, 4, 6, 1, 1, 2, 1, 3, 7, 2, 10, 2, 8, 3, 4, 
    1, 6, 2, 0, 2, 2, 6, 3, 5, 7, 4, 4, 4, 3, 1, 4, 1, 4, 0, 
    1, 1, 2, 2, 6, 3, 3, 0, 2, 4, 0, 4, 4, 2, 4, 2, 4, 3, 5, 
    3, 4, 5, 3, 3, 3, 2, 1, 6, 2, 1, 1, 5, 0, 0, 2, 1, 0, 2, 
    1, 1, 0, 3, 1, 0, 1, 5, 3, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 
    1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 3, 5, 2, 0, 3, 1, 0, 4, 
    1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 3, 1, 2, 1, 2, 
    3, 0, 0, 0, 0, 3, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 6, 0, 
    0, 3, 0, 3, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 
    1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), total_base = c(268, 
    245, 291, 206, 302, 245, 274, 219, 334, 269, 310, 247, 251, 
    283, 229, 283, 254, 252, 184, 271, 289, 297, 275, 317, 279, 
    294, 201, 245, 302, 304, 326, 299, 177, 232, 351, 350, 252, 
    295, 183, 290, 252, 264, 257, 241, 249, 246, 272, 291, 249, 
    266, 256, 256, 281, 351, 288, 242, 206, 259, 289, 259, 241, 
    230, 210, 249, 262, 299, 293, 225, 225, 214, 295, 218, 216, 
    266, 278, 341, 320, 234, 328, 258, 191, 216, 227, 185, 176, 
    231, 208, 198, 206, 217, 268, 230, 264, 229, 237, 328, 221, 
    274, 255, 204, 202, 228, 220, 239, 207, 251, 160, 187, 243, 
    165, 216, 185, 246, 181, 219, 175, 243, 205, 197, 221, 217, 
    216, 181, 161, 184, 127, 196, 234, 267, 164, 179, 218, 159, 
    210, 193, 231, 189, 162, 212, 217, 239, 168, 168, 147, 144, 
    164, 180, 129, 149, 166, 129, 171, 152, 177, 197, 189, 175, 
    188, 170, 159, 139, 165, 200, 120, 165, 205, 162, 159, 148, 
    145, 230, 146, 138, 170, 178, 177, 160, 161, 156, 136, 171, 
    176, 174, 132, 144, 183, 136, 128, 153, 140, 176, 166, 170, 
    135, 204, 106, 182, 137, 179, 157, 168, 156, 119, 131, 153, 
    140, 129, 160, 157, 114, 136, 112, 164, 149, 134, 128, 120, 
    160, 110, 131, 125, 163, 123, 123, 153, 160, 104, 115, 137, 
    120, 135, 112, 133, 112, 140, 134, 125, 116, 149, 116, 134, 
    130, 138, 97, 130, 112, 183, 102, 100, 104, 105, 127, 147, 
    83, 106, 119, 121, 123, 128, 135, 91, 141, 173, 71, 114, 
    93, 82, 103, 89, 138, 84, 75, 74, 112, 68, 102, 88, 106, 
    76, 87, 66, 71, 124, 85, 109, 91, 86, 78, 68, 90, 97, 89, 
    73, 84, 97, 89, 90, 96, 83, 47, 98, 62, 81, 69, 78, 76, 94, 
    77, 80, 103, 61, 64, 59, 77, 84, 104, 72, 85, 57, 58, 65, 
    87, 72, 74, 67, 74, 87, 82, 77, 76, 100, 56, 61, 94, 61, 
    79, 79, 72, 76, 56, 87, 69, 59, 71, 66, 79, 50, 70, 56, 49, 
    90, 66, 65, 47, 50, 65, 63, 58, 44, 75, 54, 66, 53, 65, 58, 
    51, 48, 48, 62, 49, 53, 54, 76, 42, 38, 60, 69, 56, 50, 70, 
    50, 61, 47, 68, 53, 46, 55, 48, 42, 57, 40, 44, 55, 44, 39, 
    30, 62, 48, 37, 44, 39, 50, 48, 36, 32, 33, 38, 58, 41, 35, 
    39, 38, 58, 47, 36, 40, 34, 53, 44, 37, 46, 30, 41, 35, 31, 
    23, 34, 37, 38, 38, 34, 30, 54, 46, 33, 40, 47, 47, 34, 32, 
    20, 37, 26, 31, 40, 33, 24, 50, 43, 13, 27, 18, 33, 29, 28, 
    35, 19, 20, 20, 23, 28, 18, 22, 19, 30, 19, 8, 23, 25, 38, 
    29, 11, 22, 26, 11, 24, 23, 22, 24, 13, 12, 21, 7, 8, 23, 
    27, 22, 5, 27, 15, 16, 22, 32, 17, 14, 10, 22, 6, 12, 7, 
    20, 17, 28, 18, 13, 11, 18, 9, 17, 7, 17, 9, 5, 6, 21, 19, 
    14, 10, 23, 7, 18, 8, 8, 13, 18, 5, 21, 29, 14, 3, 2, 19, 
    17, 18, 6, 11, 12, 11, 2, 6, 8, 26, 12, 12, 12, 21, 20, 11, 
    15, 15, 7, 6, 18, 24, 17, 11, 20, 5, 12, 11, 17, 12, 11, 
    15, 8, 18, 7, 18, 6, 13, 31, 9, 20, 12, 12, 6, 14, 13, 9, 
    13, 3, 8, 5, 11, 8, 13, 6, 19, 12, 19, 9, 10, 8, 12, 14, 
    9, 17, 6, 8, 14, 17, 9, 12, 8, 12, 8, 18, 9, 9, 11, 8, 4, 
    8, 7, 9, 9, 3, 7, 2, 6, 11, 5, 9, 5, 3, 7, 12, 11, 8, 8, 
    5, 11, 12, 5, 8, 5, 5, 2, 6, 6, 3, 11, 6, 0, 1, 5, 2, 2, 
    5, 6, 6, 1, 5, 5, 8, 4, 9, 10, 8, 9, 4, 2, 8, 2, 7, 6, 8, 
    4, 8, 5, 7, 2, 2, 7, 4, 6, 1, 7, 2, 6, 13, 3, 1, 8, 1, 2, 
    6, 8, 4, 1, 3, 3, 5, 5, 6, 5, 5, 2, 0, 1, 4, 6, 7, 11, 3, 
    1, 11, 2, 1, 6, 1, 6, 0, 3, 0, 3, 2, 4, 6, 4, 3, 1, 3, 10, 
    1, 2, 6, 1, 8, 0, 0, 1, 2, 2, 5, 2, 2, 4, 0, 1, 3, 0, 1, 
    1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 5, 2, 1, 2, 1, 1, 
    1, 3, 0, 3, 0, 0, 6, 2, 0, 0, 0, 0, 0, 3, 0, 2, 1, 1, 0, 
    0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 
    2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 
    0, 1, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 4, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), 
    walk = c(45, 63, 50, 45, 76, 53, 73, 60, 57, 46, 56, 47, 
    28, 41, 56, 50, 58, 37, 74, 53, 93, 46, 40, 69, 69, 35, 23, 
    53, 93, 50, 40, 78, 64, 52, 40, 103, 53, 69, 41, 79, 27, 
    74, 23, 50, 31, 44, 114, 72, 87, 61, 57, 70, 28, 100, 83, 
    38, 50, 38, 58, 62, 31, 47, 31, 68, 48, 77, 45, 110, 23, 
    32, 82, 24, 53, 83, 59, 89, 72, 73, 91, 64, 92, 69, 67, 59, 
    35, 67, 41, 26, 28, 37, 69, 72, 59, 45, 91, 43, 56, 82, 59, 
    54, 51, 55, 39, 65, 48, 58, 40, 50, 56, 36, 83, 50, 45, 33, 
    64, 28, 40, 48, 87, 67, 74, 60, 79, 43, 15, 25, 29, 50, 48, 
    45, 23, 53, 42, 34, 40, 63, 29, 42, 42, 50, 59, 47, 37, 29, 
    27, 47, 57, 33, 19, 40, 37, 32, 31, 38, 34, 63, 20, 45, 33, 
    35, 35, 63, 16, 13, 41, 30, 28, 46, 29, 15, 38, 67, 16, 27, 
    51, 27, 45, 56, 29, 35, 45, 40, 59, 25, 28, 46, 46, 43, 23, 
    41, 27, 55, 67, 23, 58, 14, 34, 33, 30, 64, 35, 34, 51, 40, 
    68, 44, 46, 37, 34, 34, 21, 37, 15, 39, 28, 59, 21, 29, 48, 
    20, 16, 17, 32, 33, 40, 62, 30, 17, 30, 52, 61, 17, 31, 25, 
    13, 29, 20, 24, 37, 20, 20, 60, 21, 22, 29, 22, 50, 31, 36, 
    17, 24, 30, 47, 41, 35, 13, 24, 27, 33, 45, 18, 36, 60, 28, 
    25, 30, 18, 14, 33, 22, 8, 26, 37, 36, 13, 19, 26, 21, 28, 
    11, 39, 19, 24, 28, 41, 21, 34, 33, 15, 15, 21, 8, 22, 19, 
    15, 25, 26, 26, 20, 6, 13, 19, 33, 17, 16, 25, 30, 16, 23, 
    40, 22, 12, 19, 21, 33, 19, 8, 16, 6, 8, 21, 33, 15, 5, 14, 
    24, 16, 17, 22, 8, 32, 22, 4, 12, 7, 14, 13, 30, 14, 7, 12, 
    6, 17, 24, 21, 14, 25, 35, 10, 17, 25, 8, 17, 10, 17, 12, 
    9, 11, 26, 15, 12, 12, 18, 14, 19, 9, 2, 19, 13, 8, 12, 20, 
    16, 5, 6, 13, 6, 14, 20, 37, 11, 9, 11, 25, 6, 8, 13, 15, 
    4, 15, 12, 6, 7, 16, 11, 8, 8, 5, 9, 13, 9, 8, 19, 11, 12, 
    13, 8, 20, 4, 15, 19, 12, 9, 9, 12, 10, 15, 10, 4, 8, 25, 
    8, 9, 14, 6, 9, 24, 17, 6, 7, 13, 25, 2, 9, 15, 11, 11, 9, 
    2, 6, 9, 3, 6, 9, 8, 11, 9, 6, 7, 1, 4, 8, 9, 8, 10, 6, 7, 
    8, 4, 6, 2, 8, 9, 4, 6, 0, 2, 1, 6, 4, 2, 1, 24, 3, 4, 8, 
    7, 14, 12, 2, 0, 7, 3, 1, 3, 4, 6, 1, 7, 6, 7, 6, 5, 2, 1, 
    4, 5, 2, 2, 2, 1, 0, 3, 2, 1, 1, 8, 6, 2, 1, 4, 0, 1, 4, 
    8, 8, 6, 0, 6, 1, 11, 1, 2, 6, 5, 2, 4, 1, 8, 1, 2, 4, 6, 
    5, 1, 2, 7, 0, 3, 0, 4, 1, 5, 8, 5, 2, 5, 2, 2, 3, 2, 1, 
    3, 1, 2, 3, 4, 2, 4, 8, 5, 4, 2, 2, 3, 10, 2, 2, 4, 1, 2, 
    2, 4, 4, 0, 2, 3, 0, 0, 0, 1, 0, 0, 0, 2, 6, 2, 2, 1, 1, 
    2, 2, 2, 1, 1, 4, 1, 0, 0, 0, 1, 6, 3, 7, 2, 0, 1, 2, 5, 
    2, 2, 2, 3, 2, 3, 0, 3, 1, 1, 2, 1, 6, 2, 5, 3, 2, 1, 3, 
    0, 5, 1, 0, 7, 3, 3, 3, 2, 1, 0, 3, 2, 0, 1, 1, 0, 1, 3, 
    2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 3, 3, 0, 1, 1, 6, 1, 
    0, 0, 4, 2, 1, 1, 4, 3, 0, 2, 0, 2, 1, 2, 1, 1, 5, 0, 0, 
    0, 0, 2, 3, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 
    2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 3, 1, 7, 0, 0, 0, 0, 0, 
    1, 4, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 
    0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 
    0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
    0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0), strike_out = c(86, 106, 115, 47, 184, 71, 93, 74, 77, 
    83, 105, 170, 94, 105, 139, 102, 93, 59, 114, 170, 122, 104, 
    86, 93, 78, 60, 66, 123, 114, 84, 82, 149, 96, 95, 135, 76, 
    79, 161, 74, 148, 82, 145, 119, 116, 98, 97, 138, 124, 132, 
    106, 101, 89, 81, 116, 91, 144, 137, 93, 139, 108, 63, 81, 
    42, 108, 172, 199, 140, 102, 64, 47, 147, 96, 103, 118, 157, 
    95, 110, 134, 125, 93, 107, 90, 164, 109, 81, 131, 85, 78, 
    109, 121, 98, 138, 98, 92, 128, 95, 116, 145, 102, 134, 36, 
    168, 123, 53, 138, 136, 88, 96, 128, 70, 211, 87, 123, 49, 
    152, 53, 52, 121, 158, 98, 98, 105, 101, 64, 39, 53, 62, 
    82, 78, 83, 106, 116, 51, 90, 99, 148, 71, 64, 137, 83, 98, 
    94, 92, 73, 35, 86, 104, 60, 59, 56, 45, 68, 54, 104, 83, 
    63, 49, 71, 58, 93, 57, 100, 111, 41, 87, 55, 57, 116, 76, 
    39, 81, 90, 66, 84, 94, 117, 128, 57, 57, 66, 110, 60, 99, 
    60, 62, 131, 82, 77, 76, 68, 92, 54, 85, 76, 67, 74, 123, 
    84, 100, 67, 67, 47, 64, 32, 127, 91, 91, 119, 104, 45, 97, 
    44, 91, 83, 54, 39, 43, 60, 61, 87, 74, 65, 36, 67, 38, 83, 
    56, 53, 85, 94, 47, 85, 53, 51, 54, 49, 75, 41, 38, 77, 46, 
    70, 79, 38, 71, 70, 62, 69, 71, 72, 92, 49, 77, 50, 84, 52, 
    50, 51, 75, 73, 44, 74, 82, 61, 66, 61, 57, 53, 42, 64, 59, 
    55, 31, 68, 71, 65, 76, 41, 50, 45, 25, 43, 60, 75, 51, 43, 
    62, 57, 50, 41, 59, 42, 43, 26, 28, 61, 40, 76, 38, 71, 44, 
    28, 60, 39, 58, 36, 39, 65, 34, 55, 38, 61, 54, 27, 44, 61, 
    67, 50, 59, 63, 29, 21, 33, 50, 19, 25, 57, 30, 30, 49, 38, 
    41, 47, 31, 35, 16, 52, 48, 62, 30, 29, 40, 42, 39, 35, 35, 
    46, 47, 15, 32, 25, 25, 35, 16, 38, 17, 36, 24, 31, 39, 39, 
    38, 35, 44, 46, 10, 53, 26, 29, 29, 27, 71, 45, 34, 27, 17, 
    26, 33, 18, 29, 26, 28, 36, 36, 37, 50, 22, 40, 25, 34, 30, 
    14, 28, 23, 26, 25, 15, 29, 35, 38, 49, 35, 25, 24, 20, 16, 
    24, 28, 28, 40, 42, 26, 26, 26, 21, 27, 29, 35, 29, 31, 27, 
    10, 37, 18, 12, 23, 51, 15, 13, 29, 24, 43, 25, 30, 46, 12, 
    32, 14, 17, 19, 17, 36, 34, 20, 23, 32, 16, 19, 29, 42, 10, 
    14, 18, 19, 28, 22, 23, 20, 18, 12, 23, 8, 18, 9, 26, 21, 
    18, 24, 29, 14, 16, 25, 23, 17, 10, 34, 21, 23, 22, 31, 20, 
    24, 29, 33, 17, 17, 19, 35, 12, 18, 15, 15, 17, 10, 23, 27, 
    24, 27, 25, 13, 15, 22, 13, 9, 13, 21, 15, 16, 11, 24, 15, 
    19, 24, 28, 15, 22, 24, 26, 16, 29, 9, 9, 15, 18, 7, 31, 
    20, 9, 23, 17, 21, 23, 9, 13, 22, 13, 24, 29, 26, 28, 23, 
    5, 14, 27, 15, 9, 7, 15, 15, 8, 16, 17, 2, 9, 15, 9, 9, 17, 
    7, 10, 15, 19, 16, 12, 10, 20, 20, 7, 22, 12, 19, 13, 6, 
    14, 8, 17, 11, 10, 15, 14, 9, 17, 18, 11, 11, 17, 14, 8, 
    5, 13, 22, 6, 13, 15, 9, 8, 13, 13, 10, 15, 10, 14, 12, 8, 
    11, 8, 4, 6, 7, 6, 5, 9, 14, 15, 10, 9, 4, 11, 16, 6, 7, 
    9, 12, 10, 12, 6, 4, 5, 10, 9, 11, 13, 6, 12, 12, 5, 5, 13, 
    7, 14, 6, 3, 12, 9, 18, 6, 13, 16, 12, 6, 6, 10, 14, 5, 4, 
    11, 5, 10, 8, 7, 9, 12, 8, 6, 5, 6, 3, 5, 8, 7, 8, 8, 6, 
    5, 2, 11, 11, 4, 12, 8, 7, 11, 4, 3, 7, 11, 6, 9, 9, 9, 5, 
    5, 7, 3, 2, 3, 12, 7, 9, 3, 8, 3, 4, 3, 5, 8, 5, 5, 5, 4, 
    7, 6, 3, 5, 5, 2, 3, 5, 1, 2, 8, 3, 4, 4, 5, 2, 2, 4, 5, 
    6, 7, 3, 5, 3, 3, 3, 2, 4, 3, 4, 2, 3, 5, 2, 2, 5, 4, 0, 
    2, 0, 3, 4, 0, 3, 6, 5, 3, 2, 4, 1, 2, 3, 5, 1, 2, 1, 5, 
    3, 3, 3, 1, 5, 5, 3, 5, 2, 3, 3, 4, 1, 3, 3, 1, 3, 4, 1, 
    2, 1, 5, 4, 3, 2, 3, 4, 3, 1, 4, 2, 0, 2, 1, 4, 2, 3, 2, 
    4, 3, 1, 0, 2, 4, 3, 3, 0, 3, 2, 2, 3, 3, 2, 2, 1, 1, 1, 
    2, 0, 1, 1, 1, 1, 3, 3, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 
    0, 2, 1, 1, 3, 2, 3, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 
    1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 
    0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 
    0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 
    1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 
    0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 
    0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), stolen_base = c(42, 
    18, 4, 68, 11, 5, 7, 26, 3, 16, 14, 27, 14, 18, 17, 1, 7, 
    3, 42, 19, 0, 47, 5, 9, 0, 4, 3, 7, 0, 6, 2, 4, 32, 10, 26, 
    14, 34, 19, 20, 13, 13, 28, 7, 0, 5, 37, 1, 15, 24, 9, 5, 
    33, 5, 9, 7, 0, 25, 34, 1, 10, 30, 3, 5, 4, 0, 0, 7, 7, 2, 
    5, 13, 2, 1, 22, 1, 3, 0, 1, 16, 32, 24, 11, 42, 52, 22, 
    1, 2, 50, 17, 9, 4, 3, 4, 1, 11, 8, 0, 0, 2, 4, 4, 30, 5, 
    1, 0, 5, 34, 29, 26, 10, 7, 10, 5, 3, 18, 11, 1, 0, 5, 0, 
    5, 3, 47, 5, 3, 11, 7, 1, 11, 11, 12, 12, 8, 0, 7, 12, 10, 
    7, 4, 2, 2, 0, 4, 20, 8, 3, 13, 11, 15, 7, 12, 3, 9, 17, 
    2, 13, 14, 14, 2, 16, 0, 0, 0, 1, 1, 0, 19, 4, 8, 0, 17, 
    0, 2, 1, 2, 7, 29, 15, 30, 3, 5, 22, 3, 6, 5, 1, 0, 8, 0, 
    3, 2, 0, 8, 1, 4, 5, 5, 10, 6, 7, 2, 3, 12, 17, 2, 10, 1, 
    0, 9, 11, 13, 14, 3, 4, 1, 4, 7, 1, 6, 1, 5, 1, 1, 7, 1, 
    0, 2, 4, 9, 0, 5, 0, 2, 1, 0, 0, 21, 1, 9, 3, 2, 3, 6, 10, 
    0, 5, 0, 6, 2, 18, 9, 32, 0, 17, 6, 5, 2, 8, 0, 9, 4, 0, 
    0, 1, 0, 0, 3, 0, 1, 0, 0, 8, 5, 2, 0, 2, 0, 1, 6, 0, 8, 
    1, 2, 8, 0, 3, 1, 7, 5, 1, 1, 3, 1, 1, 2, 3, 12, 1, 4, 1, 
    3, 15, 5, 5, 1, 2, 3, 1, 0, 2, 2, 1, 10, 7, 2, 0, 0, 1, 3, 
    0, 1, 0, 0, 2, 0, 1, 1, 4, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 
    11, 0, 0, 10, 12, 0, 10, 8, 1, 2, 0, 17, 1, 8, 0, 4, 0, 1, 
    1, 0, 3, 0, 1, 10, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 5, 1, 7, 
    6, 2, 0, 4, 3, 5, 7, 0, 3, 0, 0, 5, 0, 0, 1, 0, 0, 1, 1, 
    1, 0, 1, 0, 4, 3, 0, 1, 0, 1, 0, 12, 3, 0, 0, 3, 2, 0, 1, 
    0, 1, 0, 1, 0, 4, 0, 1, 2, 2, 0, 1, 0, 4, 0, 1, 1, 2, 5, 
    1, 0, 1, 0, 2, 2, 1, 0, 0, 5, 4, 0, 0, 1, 0, 0, 1, 0, 0, 
    0, 1, 3, 0, 0, 0, 5, 2, 0, 4, 0, 0, 7, 0, 0, 0, 1, 2, 0, 
    0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 
    1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 9, 0, 2, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 5, 0, 0, 1, 0, 0, 5, 2, 0, 0, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 
    0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, 
    1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0), caught_stealing = c(9, 5, 2, 18, 4, 
    4, 2, 4, 2, 12, 3, 6, 4, 9, 5, 1, 3, 3, 15, 15, 1, 10, 3, 
    5, 0, 5, 2, 3, 0, 4, 1, 1, 15, 5, 8, 4, 6, 11, 9, 7, 8, 7, 
    7, 1, 1, 9, 0, 5, 10, 12, 0, 10, 4, 2, 0, 0, 3, 14, 2, 5, 
    10, 2, 3, 3, 1, 1, 6, 3, 3, 0, 3, 1, 0, 7, 1, 3, 1, 3, 5, 
    10, 3, 1, 9, 12, 8, 0, 2, 11, 5, 2, 1, 2, 3, 2, 6, 1, 1, 
    1, 1, 3, 1, 6, 3, 4, 4, 4, 17, 5, 7, 4, 4, 3, 1, 2, 8, 4, 
    0, 4, 1, 1, 2, 1, 9, 3, 4, 5, 6, 2, 2, 6, 3, 2, 4, 0, 1, 
    8, 8, 1, 2, 2, 0, 1, 6, 7, 1, 2, 8, 4, 7, 6, 7, 1, 6, 6, 
    3, 2, 5, 2, 2, 2, 0, 0, 0, 1, 0, 2, 7, 1, 2, 0, 4, 0, 3, 
    0, 1, 4, 7, 5, 12, 2, 2, 4, 1, 4, 3, 0, 0, 2, 0, 2, 2, 1, 
    0, 0, 1, 0, 2, 3, 1, 8, 1, 3, 4, 1, 2, 0, 0, 0, 1, 7, 3, 
    2, 0, 5, 1, 0, 0, 0, 2, 2, 3, 0, 3, 5, 0, 1, 2, 2, 1, 0, 
    0, 0, 1, 0, 0, 0, 4, 1, 1, 3, 0, 2, 3, 2, 1, 1, 0, 1, 2, 
    3, 2, 3, 2, 4, 3, 2, 4, 4, 0, 2, 2, 0, 0, 2, 5, 0, 1, 2, 
    1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 3, 1, 0, 2, 1, 0, 5, 
    2, 7, 4, 1, 0, 2, 1, 0, 5, 2, 0, 5, 0, 1, 2, 2, 1, 0, 2, 
    1, 0, 0, 2, 2, 0, 6, 3, 0, 0, 3, 0, 0, 1, 1, 0, 0, 2, 0, 
    0, 2, 0, 3, 0, 1, 0, 1, 1, 2, 3, 0, 0, 1, 0, 0, 3, 0, 1, 
    2, 0, 1, 0, 0, 6, 1, 5, 3, 1, 3, 2, 0, 2, 1, 1, 1, 1, 2, 
    1, 1, 0, 1, 4, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 3, 1, 
    0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0, 1, 0, 0, 2, 2, 0, 
    2, 0, 1, 1, 4, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 
    0, 0, 3, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 
    1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 
    1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 
    0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 
    0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), 
    obp = c(0.35899999999999999, 0.34000000000000002, 0.33000000000000002, 
    0.34100000000000003, 0.36599999999999999, 0.33300000000000002, 
    0.37, 0.33100000000000002, 0.38100000000000001, 0.33200000000000002, 
    0.36499999999999999, 0.34499999999999997, 0.313, 0.32500000000000001, 
    0.32700000000000001, 0.33700000000000002, 0.33600000000000002, 
    0.29099999999999998, 0.34000000000000002, 0.31, 0.36499999999999999, 
    0.35599999999999998, 0.34999999999999998, 0.39000000000000001, 
    0.38800000000000001, 0.34499999999999997, 0.27000000000000002, 
    0.30599999999999999, 0.39300000000000002, 0.33100000000000002, 
    0.36499999999999999, 0.36899999999999999, 0.34200000000000003, 
    0.32900000000000001, 0.376, 0.41399999999999998, 0.32700000000000001, 
    0.35399999999999998, 0.32100000000000001, 0.37, 0.313, 0.34100000000000003, 
    0.32500000000000001, 0.312, 0.34599999999999997, 0.34000000000000002, 
    0.40100000000000002, 0.372, 0.35199999999999998, 0.35399999999999998, 
    0.34100000000000003, 0.36499999999999999, 0.33300000000000002, 
    0.378, 0.38500000000000001, 0.28699999999999998, 0.30299999999999999, 
    0.33400000000000002, 0.35899999999999999, 0.35199999999999998, 
    0.32100000000000001, 0.32300000000000001, 0.30199999999999999, 
    0.34899999999999998, 0.32000000000000001, 0.35599999999999998, 
    0.34000000000000002, 0.39300000000000002, 0.28799999999999998, 
    0.33900000000000002, 0.38800000000000001, 0.28299999999999997, 
    0.311, 0.40100000000000002, 0.35299999999999998, 0.41999999999999998, 
    0.39300000000000002, 0.34699999999999998, 0.42399999999999999, 
    0.378, 0.34599999999999997, 0.35499999999999998, 0.32200000000000001, 
    0.34100000000000003, 0.30599999999999999, 0.32900000000000001, 
    0.27100000000000002, 0.32000000000000001, 0.308, 0.32200000000000001, 
    0.38800000000000001, 0.35099999999999998, 0.34100000000000003, 
    0.31, 0.39300000000000002, 0.41099999999999998, 0.32300000000000001, 
    0.37, 0.36399999999999999, 0.32100000000000001, 0.35099999999999998, 
    0.32900000000000001, 0.32700000000000001, 0.40200000000000002, 
    0.32000000000000001, 0.35299999999999998, 0.31900000000000001, 
    0.31900000000000001, 0.34300000000000003, 0.28799999999999998, 
    0.32000000000000001, 0.33800000000000002, 0.32200000000000001, 
    0.30299999999999999, 0.35599999999999998, 0.30299999999999999, 
    0.35099999999999998, 0.32500000000000001, 0.32500000000000001, 
    0.36099999999999999, 0.375, 0.34100000000000003, 0.38300000000000001, 
    0.32800000000000001, 0.29999999999999999, 0.27700000000000002, 
    0.35899999999999999, 0.35799999999999998, 0.38100000000000001, 
    0.32400000000000001, 0.29299999999999998, 0.32400000000000001, 
    0.32900000000000001, 0.29399999999999998, 0.32000000000000001, 
    0.36099999999999999, 0.34699999999999998, 0.317, 0.316, 0.34200000000000003, 
    0.36799999999999999, 0.31900000000000001, 0.317, 0.30199999999999999, 
    0.32100000000000001, 0.33600000000000002, 0.34699999999999998, 
    0.27900000000000003, 0.309, 0.35799999999999998, 0.318, 0.34200000000000003, 
    0.29899999999999999, 0.33200000000000002, 0.34899999999999998, 
    0.38700000000000001, 0.33500000000000002, 0.35799999999999998, 
    0.312, 0.307, 0.28000000000000003, 0.34399999999999997, 0.314, 
    0.23999999999999999, 0.33100000000000002, 0.35699999999999998, 
    0.34599999999999997, 0.35099999999999998, 0.29299999999999998, 
    0.308, 0.374, 0.36199999999999999, 0.29399999999999998, 0.314, 
    0.374, 0.315, 0.32400000000000001, 0.38200000000000001, 0.35299999999999998, 
    0.30499999999999999, 0.33800000000000002, 0.36599999999999999, 
    0.35699999999999998, 0.32600000000000001, 0.33200000000000002, 
    0.32300000000000001, 0.30599999999999999, 0.31, 0.31, 0.33300000000000002, 
    0.34000000000000002, 0.40000000000000002, 0.38900000000000001, 
    0.308, 0.41099999999999998, 0.27800000000000002, 0.32600000000000001, 
    0.33500000000000002, 0.316, 0.371, 0.314, 0.38400000000000001, 
    0.379, 0.32000000000000001, 0.39500000000000002, 0.34699999999999998, 
    0.307, 0.32600000000000001, 0.316, 0.34100000000000003, 0.308, 
    0.32700000000000001, 0.33700000000000002, 0.35999999999999999, 
    0.32000000000000001, 0.372, 0.30599999999999999, 0.30499999999999999, 
    0.34699999999999998, 0.28100000000000003, 0.28100000000000003, 
    0.29599999999999999, 0.30599999999999999, 0.34300000000000003, 
    0.378, 0.39300000000000002, 0.33700000000000002, 0.32700000000000001, 
    0.33600000000000002, 0.32000000000000001, 0.38100000000000001, 
    0.30599999999999999, 0.35799999999999998, 0.311, 0.28399999999999997, 
    0.36399999999999999, 0.315, 0.34200000000000003, 0.36699999999999999, 
    0.307, 0.35099999999999998, 0.372, 0.30399999999999999, 0.29599999999999999, 
    0.33200000000000002, 0.312, 0.437, 0.29499999999999998, 0.316, 
    0.29799999999999999, 0.30199999999999999, 0.34200000000000003, 
    0.36399999999999999, 0.30399999999999999, 0.29499999999999998, 
    0.30499999999999999, 0.35899999999999999, 0.33500000000000002, 
    0.33800000000000002, 0.34100000000000003, 0.29999999999999999, 
    0.378, 0.41199999999999998, 0.27300000000000002, 0.308, 0.309, 
    0.26300000000000001, 0.29099999999999998, 0.35899999999999999, 
    0.35199999999999998, 0.26200000000000001, 0.27400000000000002, 
    0.33400000000000002, 0.34300000000000003, 0.26700000000000002, 
    0.32100000000000001, 0.29999999999999999, 0.32700000000000001, 
    0.313, 0.316, 0.33700000000000002, 0.26800000000000002, 0.34200000000000003, 
    0.29199999999999998, 0.39000000000000001, 0.33200000000000002, 
    0.315, 0.29799999999999999, 0.29799999999999999, 0.33100000000000002, 
    0.36099999999999999, 0.27200000000000002, 0.28699999999999998, 
    0.34000000000000002, 0.317, 0.32700000000000001, 0.35399999999999998, 
    0.317, 0.311, 0.17399999999999999, 0.30199999999999999, 0.30199999999999999, 
    0.29099999999999998, 0.28999999999999998, 0.26800000000000002, 
    0.35199999999999998, 0.34100000000000003, 0.26500000000000001, 
    0.307, 0.35999999999999999, 0.30499999999999999, 0.254, 0.27900000000000003, 
    0.32100000000000001, 0.30499999999999999, 0.34999999999999998, 
    0.308, 0.32600000000000001, 0.219, 0.23000000000000001, 0.32200000000000001, 
    0.40500000000000003, 0.32100000000000001, 0.29099999999999998, 
    0.312, 0.35699999999999998, 0.32400000000000001, 0.35299999999999998, 
    0.33800000000000002, 0.26100000000000001, 0.40500000000000003, 
    0.28599999999999998, 0.24399999999999999, 0.34599999999999997, 
    0.28199999999999997, 0.34999999999999998, 0.28599999999999998, 
    0.318, 0.27200000000000002, 0.27700000000000002, 0.31, 0.23699999999999999, 
    0.32000000000000001, 0.307, 0.34799999999999998, 0.32700000000000001, 
    0.29299999999999998, 0.378, 0.27900000000000003, 0.312, 0.38100000000000001, 
    0.29599999999999999, 0.29799999999999999, 0.26500000000000001, 
    0.29399999999999998, 0.317, 0.30399999999999999, 0.33000000000000002, 
    0.29199999999999998, 0.34999999999999998, 0.251, 0.30499999999999999, 
    0.29499999999999998, 0.32800000000000001, 0.35099999999999998, 
    0.29399999999999998, 0.224, 0.34100000000000003, 0.32000000000000001, 
    0.24399999999999999, 0.30599999999999999, 0.308, 0.32400000000000001, 
    0.20399999999999999, 0.25800000000000001, 0.33100000000000002, 
    0.27300000000000002, 0.28100000000000003, 0.32600000000000001, 
    0.40100000000000002, 0.313, 0.34799999999999998, 0.30599999999999999, 
    0.36399999999999999, 0.23699999999999999, 0.29599999999999999, 
    0.311, 0.29599999999999999, 0.23699999999999999, 0.33100000000000002, 
    0.27600000000000002, 0.311, 0.33100000000000002, 0.318, 0.27100000000000002, 
    0.23699999999999999, 0.32800000000000001, 0.317, 0.27100000000000002, 
    0.32400000000000001, 0.23400000000000001, 0.29899999999999999, 
    0.34499999999999997, 0.28799999999999998, 0.27000000000000002, 
    0.29399999999999998, 0.27700000000000002, 0.39200000000000002, 
    0.28599999999999998, 0.27900000000000003, 0.32400000000000001, 
    0.28199999999999997, 0.32800000000000001, 0.29799999999999999, 
    0.34899999999999998, 0.27600000000000002, 0.30499999999999999, 
    0.29299999999999998, 0.28199999999999997, 0.27600000000000002, 
    0.34300000000000003, 0.32800000000000001, 0.27000000000000002, 
    0.36299999999999999, 0.27600000000000002, 0.23300000000000001, 
    0.34399999999999997, 0.35799999999999998, 0.29499999999999998, 
    0.28299999999999997, 0.32800000000000001, 0.30499999999999999, 
    0.32100000000000001, 0.27700000000000002, 0.28299999999999997, 
    0.34999999999999998, 0.30599999999999999, 0.32700000000000001, 
    0.28999999999999998, 0.27900000000000003, 0.25, 0.248, 0.25, 
    0.29399999999999998, 0.28799999999999998, 0.29199999999999998, 
    0.27900000000000003, 0.36399999999999999, 0.317, 0.151, 0.27200000000000002, 
    0.22700000000000001, 0.29299999999999998, 0.27400000000000002, 
    0.29199999999999998, 0.26100000000000001, 0.23100000000000001, 
    0.26700000000000002, 0.221, 0.29399999999999998, 0.193, 0.25800000000000001, 
    0.307, 0.24099999999999999, 0.26500000000000001, 0.19500000000000001, 
    0.127, 0.253, 0.311, 0.313, 0.28199999999999997, 0.13500000000000001, 
    0.38800000000000001, 0.23000000000000001, 0.19700000000000001, 
    0.25900000000000001, 0.25600000000000001, 0.41999999999999998, 
    0.34100000000000003, 0.16900000000000001, 0.14899999999999999, 
    0.26700000000000002, 0.14299999999999999, 0.11899999999999999, 
    0.22900000000000001, 0.27100000000000002, 0.254, 0.104, 0.29599999999999999, 
    0.25700000000000001, 0.31, 0.31900000000000001, 0.32900000000000001, 
    0.24199999999999999, 0.20000000000000001, 0.19700000000000001, 
    0.25700000000000001, 0.123, 0.20000000000000001, 0.14099999999999999, 
    0.20599999999999999, 0.17699999999999999, 0.33300000000000002, 
    0.27000000000000002, 0.161, 0.17199999999999999, 0.29999999999999999, 
    0.224, 0.24199999999999999, 0.161, 0.25, 0.13600000000000001, 
    0.10000000000000001, 0.159, 0.39400000000000002, 0.28799999999999998, 
    0.26600000000000001, 0.153, 0.28599999999999998, 0.121, 0.36199999999999999, 
    0.155, 0.16900000000000001, 0.28599999999999998, 0.27400000000000002, 
    0.121, 0.32200000000000001, 0.375, 0.26200000000000001, 0.070999999999999994, 
    0.070000000000000007, 0.29999999999999999, 0.246, 0.27100000000000002, 
    0.127, 0.214, 0.28999999999999998, 0.111, 0.10299999999999999, 
    0.092999999999999999, 0.193, 0.35699999999999998, 0.224, 
    0.29499999999999998, 0.246, 0.29599999999999999, 0.31, 0.20399999999999999, 
    0.255, 0.29599999999999999, 0.13200000000000001, 0.13500000000000001, 
    0.32100000000000001, 0.32000000000000001, 0.36499999999999999, 
    0.245, 0.34000000000000002, 0.10000000000000001, 0.308, 0.30399999999999999, 
    0.40699999999999997, 0.27500000000000002, 0.20399999999999999, 
    0.23499999999999999, 0.20399999999999999, 0.39300000000000002, 
    0.17399999999999999, 0.29799999999999999, 0.16700000000000001, 
    0.311, 0.34799999999999998, 0.19600000000000001, 0.38300000000000001, 
    0.255, 0.14000000000000001, 0.17399999999999999, 0.24399999999999999, 
    0.22, 0.17100000000000001, 0.14299999999999999, 0.098000000000000004, 
    0.14999999999999999, 0.125, 0.14999999999999999, 0.22, 0.30399999999999999, 
    0.19, 0.40500000000000003, 0.22, 0.22500000000000001, 0.20000000000000001, 
    0.22500000000000001, 0.25, 0.25, 0.28199999999999997, 0.26800000000000002, 
    0.316, 0.13500000000000001, 0.20499999999999999, 0.189, 0.32400000000000001, 
    0.29499999999999998, 0.28199999999999997, 0.32600000000000001, 
    0.189, 0.17100000000000001, 0.36099999999999999, 0.24299999999999999, 
    0.29999999999999999, 0.32400000000000001, 0.25, 0.16700000000000001, 
    0.26300000000000001, 0.25700000000000001, 0.30599999999999999, 
    0.23499999999999999, 0.16700000000000001, 0.22900000000000001, 
    0.087999999999999995, 0.17100000000000001, 0.314, 0.23699999999999999, 
    0.20599999999999999, 0.25, 0.14699999999999999, 0.25, 0.32300000000000001, 
    0.27300000000000002, 0.20699999999999999, 0.29399999999999998, 
    0.16700000000000001, 0.13300000000000001, 0.39500000000000002, 
    0.28100000000000003, 0.25800000000000001, 0.22600000000000001, 
    0.23300000000000001, 0.107, 0.17899999999999999, 0.28999999999999998, 
    0.17199999999999999, 0.32100000000000001, 0.214, 0.036999999999999998, 
    0.037999999999999999, 0.185, 0.17199999999999999, 0.14299999999999999, 
    0.24099999999999999, 0.25, 0.222, 0.040000000000000001, 0.12, 
    0.192, 0.308, 0.154, 0.23999999999999999, 0.33300000000000002, 
    0.16700000000000001, 0.29599999999999999, 0.222, 0.083000000000000004, 
    0.34599999999999997, 0.12, 0.33300000000000002, 0.25, 0.26100000000000001, 
    0.16, 0.35699999999999998, 0.28000000000000003, 0.29199999999999998, 
    0.125, 0.222, 0.32000000000000001, 0.13600000000000001, 0.20799999999999999, 
    0.086999999999999994, 0.29199999999999998, 0.090999999999999998, 
    0.217, 0.33300000000000002, 0.14299999999999999, 0.23999999999999999, 
    0.29999999999999999, 0.050000000000000003, 0.10000000000000001, 
    0.158, 0.28599999999999998, 0.27300000000000002, 0.056000000000000001, 
    0.28599999999999998, 0.27300000000000002, 0.16700000000000001, 
    0.33300000000000002, 0.23499999999999999, 0.23499999999999999, 
    0.26300000000000001, 0.16700000000000001, 0, 0.063, 0.29399999999999998, 
    0.40000000000000002, 0.313, 0.44400000000000001, 0.29399999999999998, 
    0.125, 0.438, 0.20000000000000001, 0.13300000000000001, 0.26700000000000002, 
    0.070999999999999994, 0.214, 0.17599999999999999, 0.076999999999999999, 
    0, 0.375, 0.214, 0.55000000000000004, 0.308, 0.25, 0.16700000000000001, 
    0.154, 0.16700000000000001, 0.38500000000000001, 0.33300000000000002, 
    0.090999999999999998, 0.33300000000000002, 0.090999999999999998, 
    0.45500000000000002, 0, 0.090999999999999998, 0.10000000000000001, 
    0.20000000000000001, 0.27300000000000002, 0.40000000000000002, 
    0.20000000000000001, 0.20000000000000001, 0.111, 0, 0.20000000000000001, 
    0.222, 0, 0.125, 0.111, 0.222, 0.111, 0.125, 0.222, 0, 0.222, 
    0, 0.125, 0.28599999999999998, 0, 0.125, 0.125, 0.28599999999999998, 
    0.28599999999999998, 0.14299999999999999, 0.28599999999999998, 
    0.14299999999999999, 0.14299999999999999, 0.14299999999999999, 
    0.28599999999999998, 0, 0.55600000000000005, 0.125, 0, 0.5, 
    0.16700000000000001, 0, 0.125, 0.25, 0, 0.14299999999999999, 
    0.5, 0, 0.20000000000000001, 0.33300000000000002, 0.20000000000000001, 
    0, 0, 0.40000000000000002, 0.28599999999999998, 0, 0, 0.16700000000000001, 
    0.40000000000000002, 0, 0, 0, 0, 0.20000000000000001, 0, 
    0.20000000000000001, 0, 0.16700000000000001, 0.40000000000000002, 
    0.40000000000000002, 0, 0.25, 0, 0.40000000000000002, 0, 
    0.40000000000000002, 0, 0, 0.25, 0.5, 0, 0, 0.25, 0, 0, 0, 
    0, 0.5, 0, 0, 0, 0.20000000000000001, 0.40000000000000002, 
    0, 0.25, 0, 0.33300000000000002, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.33300000000000002, 0, 0.20000000000000001, 0.33300000000000002, 
    0, 0.33300000000000002, 0, 0, 0.40000000000000002, 0, 0.33300000000000002, 
    0, 0.66700000000000004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0.5, 0, 0, 
    0, 0, 0, 0.5, 0, 0, 0, 0.5, 0, 0.5, 0.5, 0.33300000000000002, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 
    0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 1, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 1, 
    0, 0, 0, 1, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.66700000000000004, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), slg = c(0.39400000000000002, 
    0.37, 0.44400000000000001, 0.316, 0.46400000000000002, 0.38800000000000001, 
    0.436, 0.34799999999999998, 0.53400000000000003, 0.42999999999999999, 
    0.501, 0.40000000000000002, 0.40699999999999997, 0.46100000000000002, 
    0.375, 0.46400000000000002, 0.41699999999999998, 0.41699999999999998, 
    0.30599999999999999, 0.45000000000000001, 0.48099999999999998, 
    0.495, 0.45900000000000002, 0.53200000000000003, 0.46899999999999997, 
    0.496, 0.33900000000000002, 0.41399999999999998, 0.51100000000000001, 
    0.51500000000000001, 0.55300000000000005, 0.50800000000000001, 
    0.30099999999999999, 0.39500000000000002, 0.59799999999999998, 
    0.59599999999999997, 0.42899999999999999, 0.503, 0.312, 0.496, 
    0.43099999999999999, 0.45200000000000001, 0.442, 0.41499999999999998, 
    0.42899999999999999, 0.42499999999999999, 0.47099999999999997, 
    0.50700000000000001, 0.435, 0.46400000000000002, 0.44800000000000001, 
    0.44900000000000001, 0.49299999999999999, 0.61699999999999999, 
    0.50600000000000001, 0.42499999999999999, 0.36299999999999999, 
    0.45700000000000002, 0.51100000000000001, 0.45800000000000002, 
    0.42799999999999999, 0.40899999999999997, 0.374, 0.44400000000000001, 
    0.46800000000000003, 0.53600000000000003, 0.52500000000000002, 
    0.40500000000000003, 0.40500000000000003, 0.38600000000000001, 
    0.53200000000000003, 0.39600000000000002, 0.39200000000000002, 
    0.48399999999999999, 0.505, 0.622, 0.58399999999999996, 0.42799999999999999, 
    0.59999999999999998, 0.47499999999999998, 0.35299999999999998, 
    0.40100000000000002, 0.42399999999999999, 0.34599999999999997, 
    0.33000000000000002, 0.433, 0.39400000000000002, 0.377, 0.39200000000000002, 
    0.41299999999999998, 0.51000000000000001, 0.44, 0.50600000000000001, 
    0.44, 0.45600000000000002, 0.63300000000000001, 0.42699999999999999, 
    0.52900000000000003, 0.49299999999999999, 0.39700000000000002, 
    0.39300000000000002, 0.44400000000000001, 0.43099999999999999, 
    0.46899999999999997, 0.40699999999999997, 0.49299999999999999, 
    0.314, 0.36799999999999999, 0.47899999999999998, 0.32600000000000001, 
    0.433, 0.372, 0.496, 0.36599999999999999, 0.442, 0.35399999999999998, 
    0.49299999999999999, 0.41799999999999998, 0.40699999999999997, 
    0.45900000000000002, 0.45300000000000001, 0.45200000000000001, 
    0.379, 0.33800000000000002, 0.38800000000000001, 0.26800000000000002, 
    0.41599999999999998, 0.497, 0.56799999999999995, 0.34999999999999998, 
    0.38200000000000001, 0.46800000000000003, 0.34200000000000003, 
    0.45200000000000001, 0.41599999999999998, 0.498, 0.40799999999999997, 
    0.35399999999999998, 0.46800000000000003, 0.47899999999999998, 
    0.53500000000000003, 0.377, 0.378, 0.33300000000000002, 0.32600000000000001, 
    0.373, 0.40999999999999998, 0.29399999999999998, 0.34000000000000002, 
    0.38100000000000001, 0.29699999999999999, 0.39700000000000002, 
    0.35299999999999998, 0.41399999999999998, 0.46200000000000002, 
    0.44500000000000001, 0.41299999999999998, 0.44900000000000001, 
    0.40899999999999997, 0.38400000000000001, 0.33600000000000002, 
    0.40000000000000002, 0.48899999999999999, 0.29299999999999998, 
    0.40600000000000003, 0.505, 0.40000000000000002, 0.39500000000000002, 
    0.36899999999999999, 0.36199999999999999, 0.57599999999999996, 
    0.36699999999999999, 0.34699999999999998, 0.42899999999999999, 
    0.44900000000000001, 0.44900000000000001, 0.40799999999999997, 
    0.41199999999999998, 0.40000000000000002, 0.35099999999999998, 
    0.443, 0.46000000000000002, 0.45400000000000001, 0.34599999999999997, 
    0.38, 0.48699999999999999, 0.36199999999999999, 0.34000000000000002, 
    0.40899999999999997, 0.375, 0.47399999999999998, 0.44700000000000001, 
    0.45900000000000002, 0.371, 0.56399999999999995, 0.29399999999999998, 
    0.50700000000000001, 0.38300000000000001, 0.5, 0.439, 0.46899999999999997, 
    0.443, 0.33900000000000002, 0.374, 0.438, 0.40200000000000002, 
    0.371, 0.46100000000000002, 0.45600000000000002, 0.33100000000000002, 
    0.39700000000000002, 0.32700000000000001, 0.48099999999999998, 
    0.437, 0.39400000000000002, 0.378, 0.35999999999999999, 0.48199999999999998, 
    0.33200000000000002, 0.39600000000000002, 0.378, 0.497, 0.376, 
    0.378, 0.47399999999999998, 0.497, 0.32500000000000001, 0.36099999999999999, 
    0.42899999999999999, 0.376, 0.42599999999999999, 0.35299999999999998, 
    0.42099999999999999, 0.35399999999999998, 0.44700000000000001, 
    0.42799999999999999, 0.40600000000000003, 0.38300000000000001, 
    0.49299999999999999, 0.38500000000000001, 0.44800000000000001, 
    0.436, 0.46300000000000002, 0.32700000000000001, 0.438, 0.378, 
    0.61799999999999999, 0.34599999999999997, 0.34000000000000002, 
    0.35699999999999998, 0.36099999999999999, 0.438, 0.50900000000000001, 
    0.28699999999999998, 0.36699999999999999, 0.41299999999999998, 
    0.42199999999999999, 0.433, 0.45600000000000002, 0.48599999999999999, 
    0.32900000000000001, 0.51100000000000001, 0.627, 0.25800000000000001, 
    0.41799999999999998, 0.34399999999999997, 0.30399999999999999, 
    0.38600000000000001, 0.33500000000000002, 0.51900000000000002, 
    0.317, 0.28599999999999998, 0.28399999999999997, 0.432, 0.26400000000000001, 
    0.40000000000000002, 0.34599999999999997, 0.41899999999999998, 
    0.30199999999999999, 0.34799999999999998, 0.26700000000000002, 
    0.28699999999999998, 0.504, 0.34799999999999998, 0.44700000000000001, 
    0.374, 0.35499999999999998, 0.32200000000000001, 0.28199999999999997, 
    0.375, 0.40400000000000003, 0.374, 0.308, 0.35599999999999998, 
    0.41299999999999998, 0.38200000000000001, 0.39100000000000001, 
    0.41899999999999998, 0.36599999999999999, 0.20799999999999999, 
    0.438, 0.27700000000000002, 0.36199999999999999, 0.311, 0.35099999999999998, 
    0.34200000000000003, 0.42699999999999999, 0.35199999999999998, 
    0.36699999999999999, 0.47699999999999998, 0.28199999999999997, 
    0.29799999999999999, 0.27800000000000002, 0.36299999999999999, 
    0.39600000000000002, 0.49099999999999999, 0.34799999999999998, 
    0.41299999999999998, 0.27800000000000002, 0.28299999999999997, 
    0.31900000000000001, 0.42899999999999999, 0.35599999999999998, 
    0.36599999999999999, 0.33200000000000002, 0.36599999999999999, 
    0.433, 0.40999999999999998, 0.38500000000000001, 0.38400000000000001, 
    0.51000000000000001, 0.28699999999999998, 0.316, 0.48699999999999999, 
    0.316, 0.41399999999999998, 0.41399999999999998, 0.38300000000000001, 
    0.40600000000000003, 0.30099999999999999, 0.46800000000000003, 
    0.38100000000000001, 0.32800000000000001, 0.39400000000000002, 
    0.36899999999999999, 0.441, 0.28100000000000003, 0.39800000000000002, 
    0.32000000000000001, 0.28499999999999998, 0.52600000000000002, 
    0.38800000000000001, 0.38200000000000001, 0.27800000000000002, 
    0.29799999999999999, 0.38900000000000001, 0.377, 0.34899999999999998, 
    0.26700000000000002, 0.45500000000000002, 0.33100000000000002, 
    0.40500000000000003, 0.32700000000000001, 0.40100000000000002, 
    0.35999999999999999, 0.31900000000000001, 0.30199999999999999, 
    0.30199999999999999, 0.39200000000000002, 0.31, 0.33500000000000002, 
    0.34200000000000003, 0.48699999999999999, 0.27100000000000002, 
    0.247, 0.39500000000000002, 0.45400000000000001, 0.371, 0.33100000000000002, 
    0.46700000000000003, 0.33600000000000002, 0.41499999999999998, 
    0.32200000000000001, 0.46899999999999997, 0.36799999999999999, 
    0.31900000000000001, 0.38200000000000001, 0.33600000000000002, 
    0.29599999999999999, 0.40100000000000002, 0.28599999999999998, 
    0.317, 0.41699999999999998, 0.33600000000000002, 0.29999999999999999, 
    0.23300000000000001, 0.48399999999999999, 0.375, 0.28899999999999998, 
    0.34599999999999997, 0.307, 0.39700000000000002, 0.38400000000000001, 
    0.28999999999999998, 0.25800000000000001, 0.26800000000000002, 
    0.314, 0.47899999999999998, 0.33900000000000002, 0.29199999999999998, 
    0.32800000000000001, 0.32800000000000001, 0.504, 0.41199999999999998, 
    0.316, 0.35699999999999998, 0.30399999999999999, 0.47299999999999998, 
    0.39300000000000002, 0.33300000000000002, 0.41399999999999998, 
    0.27300000000000002, 0.376, 0.32400000000000001, 0.28699999999999998, 
    0.21299999999999999, 0.318, 0.34899999999999998, 0.35799999999999998, 
    0.36499999999999999, 0.32700000000000001, 0.28799999999999998, 
    0.51900000000000002, 0.44700000000000001, 0.32400000000000001, 
    0.39200000000000002, 0.47499999999999998, 0.47499999999999998, 
    0.34699999999999998, 0.32700000000000001, 0.20399999999999999, 
    0.378, 0.26800000000000002, 0.32000000000000001, 0.41699999999999998, 
    0.34699999999999998, 0.25800000000000001, 0.53800000000000003, 
    0.46700000000000003, 0.14099999999999999, 0.31, 0.20699999999999999, 
    0.379, 0.33700000000000002, 0.33300000000000002, 0.41699999999999998, 
    0.22600000000000001, 0.24399999999999999, 0.247, 0.29099999999999998, 
    0.35399999999999998, 0.22800000000000001, 0.28199999999999997, 
    0.24399999999999999, 0.39000000000000001, 0.247, 0.104, 0.29899999999999999, 
    0.32900000000000001, 0.50700000000000001, 0.39200000000000002, 
    0.153, 0.30599999999999999, 0.36599999999999999, 0.155, 0.33800000000000002, 
    0.32900000000000001, 0.31900000000000001, 0.34799999999999998, 
    0.191, 0.17899999999999999, 0.313, 0.104, 0.121, 0.34799999999999998, 
    0.41499999999999998, 0.33800000000000002, 0.078, 0.42199999999999999, 
    0.23400000000000001, 0.254, 0.34899999999999998, 0.50800000000000001, 
    0.27000000000000002, 0.222, 0.161, 0.35499999999999998, 0.097000000000000003, 
    0.19400000000000001, 0.113, 0.32300000000000001, 0.27400000000000002, 
    0.45900000000000002, 0.29499999999999998, 0.21299999999999999, 
    0.17999999999999999, 0.29499999999999998, 0.14999999999999999, 
    0.28299999999999997, 0.11899999999999999, 0.28799999999999998, 
    0.153, 0.085000000000000006, 0.10199999999999999, 0.36199999999999999, 
    0.32800000000000001, 0.24099999999999999, 0.17199999999999999, 
    0.40400000000000003, 0.123, 0.316, 0.14000000000000001, 0.14000000000000001, 
    0.23200000000000001, 0.32100000000000001, 0.088999999999999996, 
    0.38200000000000001, 0.52700000000000002, 0.255, 0.055, 0.035999999999999997, 
    0.34499999999999997, 0.309, 0.33300000000000002, 0.111, 0.20399999999999999, 
    0.222, 0.20399999999999999, 0.036999999999999998, 0.111, 
    0.151, 0.49099999999999999, 0.22600000000000001, 0.22600000000000001, 
    0.23100000000000001, 0.40400000000000003, 0.38500000000000001, 
    0.21199999999999999, 0.28799999999999998, 0.29399999999999998, 
    0.13700000000000001, 0.11799999999999999, 0.35999999999999999, 
    0.48999999999999999, 0.34699999999999998, 0.224, 0.40799999999999997, 
    0.104, 0.25, 0.22900000000000001, 0.35399999999999998, 0.255, 
    0.23400000000000001, 0.31900000000000001, 0.17399999999999999, 
    0.40000000000000002, 0.159, 0.40899999999999997, 0.13600000000000001, 
    0.29499999999999998, 0.70499999999999996, 0.20499999999999999, 
    0.46500000000000002, 0.28599999999999998, 0.28599999999999998, 
    0.14299999999999999, 0.33300000000000002, 0.317, 0.22, 0.317, 
    0.074999999999999997, 0.20000000000000001, 0.125, 0.27500000000000002, 
    0.20499999999999999, 0.33300000000000002, 0.154, 0.48699999999999999, 
    0.308, 0.48699999999999999, 0.23699999999999999, 0.26300000000000001, 
    0.21099999999999999, 0.316, 0.36799999999999999, 0.24299999999999999, 
    0.45900000000000002, 0.16200000000000001, 0.216, 0.378, 0.47199999999999998, 
    0.25, 0.33300000000000002, 0.22900000000000001, 0.34300000000000003, 
    0.22900000000000001, 0.51400000000000001, 0.25700000000000001, 
    0.25700000000000001, 0.32400000000000001, 0.23499999999999999, 
    0.11799999999999999, 0.23499999999999999, 0.21199999999999999, 
    0.27300000000000002, 0.27300000000000002, 0.090999999999999998, 
    0.21199999999999999, 0.060999999999999999, 0.182, 0.34399999999999997, 
    0.156, 0.28100000000000003, 0.161, 0.097000000000000003, 
    0.23300000000000001, 0.40000000000000002, 0.36699999999999999, 
    0.27600000000000002, 0.27600000000000002, 0.17199999999999999, 
    0.379, 0.41399999999999998, 0.17899999999999999, 0.28599999999999998, 
    0.17899999999999999, 0.17899999999999999, 0.073999999999999996, 
    0.222, 0.222, 0.111, 0.40699999999999997, 0.222, 0, 0.037999999999999999, 
    0.192, 0.076999999999999999, 0.076999999999999999, 0.192, 
    0.23100000000000001, 0.23100000000000001, 0.040000000000000001, 
    0.20000000000000001, 0.20000000000000001, 0.32000000000000001, 
    0.16, 0.375, 0.41699999999999998, 0.33300000000000002, 0.375, 
    0.16700000000000001, 0.083000000000000004, 0.33300000000000002, 
    0.083000000000000004, 0.29199999999999998, 0.26100000000000001, 
    0.34799999999999998, 0.17399999999999999, 0.34799999999999998, 
    0.217, 0.30399999999999999, 0.086999999999999994, 0.090999999999999998, 
    0.318, 0.182, 0.27300000000000002, 0.044999999999999998, 
    0.33300000000000002, 0.095000000000000001, 0.28599999999999998, 
    0.65000000000000002, 0.14999999999999999, 0.050000000000000003, 
    0.40000000000000002, 0.050000000000000003, 0.10000000000000001, 
    0.316, 0.42099999999999999, 0.21099999999999999, 0.056000000000000001, 
    0.16700000000000001, 0.16700000000000001, 0.27800000000000002, 
    0.29399999999999998, 0.35299999999999998, 0.29399999999999998, 
    0.29399999999999998, 0.11799999999999999, 0, 0.063, 0.26700000000000002, 
    0.40000000000000002, 0.46700000000000003, 0.73299999999999998, 
    0.20000000000000001, 0.067000000000000004, 0.78600000000000003, 
    0.14299999999999999, 0.070999999999999994, 0.42899999999999999, 
    0.070999999999999994, 0.42899999999999999, 0, 0.23100000000000001, 
    0, 0.23100000000000001, 0.154, 0.308, 0.46200000000000002, 
    0.33300000000000002, 0.25, 0.083000000000000004, 0.25, 0.83299999999999996, 
    0.090999999999999998, 0.182, 0.54500000000000004, 0.090999999999999998, 
    0.80000000000000004, 0, 0, 0.10000000000000001, 0.20000000000000001, 
    0.20000000000000001, 0.5, 0.20000000000000001, 0.20000000000000001, 
    0.44400000000000001, 0, 0.111, 0.33300000000000002, 0, 0.125, 
    0.125, 0.125, 0, 0.125, 0.125, 0, 0.25, 0, 0, 0.28599999999999998, 
    0, 0, 0, 0.71399999999999997, 0.28599999999999998, 0.14299999999999999, 
    0.28599999999999998, 0.14299999999999999, 0.14299999999999999, 
    0.14299999999999999, 0.42899999999999999, 0, 0.42899999999999999, 
    0, 0, 1, 0.33300000000000002, 0, 0, 0, 0, 0, 0.5, 0, 0.40000000000000002, 
    0.20000000000000001, 0.20000000000000001, 0, 0, 0.40000000000000002, 
    0, 0, 0, 0, 0.59999999999999998, 0, 0, 0, 0, 0.20000000000000001, 
    0, 0.20000000000000001, 0, 0, 0.5, 0.25, 0, 0.5, 0, 0.25, 
    0, 0.5, 0, 0, 0.25, 0.5, 0, 0, 0.25, 0, 0, 0, 0, 0.25, 0, 
    0, 0, 0, 0.25, 0, 0, 0, 0.33300000000000002, 0, 0, 0, 0, 
    0, 0, 0, 0, 1.333, 0, 0, 0.33300000000000002, 0, 0.33300000000000002, 
    0, 0, 0, 0, 0.33300000000000002, 0, 1.667, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5, 0.5, 0, 0, 0, 0, 0, 0.5, 0, 0, 0, 0.5, 0, 0.5, 0.5, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 
    0, 0, 4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0), bat_avg = c(0.315, 0.27000000000000002, 
    0.28399999999999997, 0.27500000000000002, 0.26900000000000002, 
    0.27500000000000002, 0.29699999999999999, 0.26400000000000001, 
    0.31900000000000001, 0.27500000000000002, 0.30399999999999999, 
    0.29299999999999998, 0.27900000000000003, 0.28199999999999997, 
    0.26400000000000001, 0.28499999999999998, 0.27100000000000002, 
    0.246, 0.25900000000000001, 0.249, 0.25600000000000001, 0.307, 
    0.307, 0.312, 0.318, 0.29999999999999999, 0.23899999999999999, 
    0.247, 0.29799999999999999, 0.27300000000000002, 0.32100000000000001, 
    0.28699999999999998, 0.26500000000000001, 0.26700000000000002, 
    0.33600000000000002, 0.312, 0.25900000000000001, 0.28299999999999997, 
    0.27000000000000002, 0.28399999999999997, 0.28199999999999997, 
    0.25700000000000001, 0.28399999999999997, 0.248, 0.29299999999999998, 
    0.28999999999999998, 0.26100000000000001, 0.29399999999999998, 
    0.255, 0.28100000000000003, 0.27300000000000002, 0.28599999999999998, 
    0.29799999999999999, 0.26000000000000001, 0.28999999999999998, 
    0.23699999999999999, 0.245, 0.28399999999999997, 0.28799999999999998, 
    0.27800000000000002, 0.28199999999999997, 0.26800000000000002, 
    0.26500000000000001, 0.27500000000000002, 0.26100000000000001, 
    0.26000000000000001, 0.28299999999999997, 0.27300000000000002, 
    0.25900000000000001, 0.29799999999999999, 0.29599999999999999, 
    0.247, 0.249, 0.29999999999999999, 0.27600000000000002, 0.32800000000000001, 
    0.312, 0.26000000000000001, 0.32400000000000001, 0.29999999999999999, 
    0.23799999999999999, 0.27100000000000002, 0.23699999999999999, 
    0.26500000000000001, 0.253, 0.24299999999999999, 0.20499999999999999, 
    0.28399999999999997, 0.26900000000000002, 0.26900000000000002, 
    0.307, 0.26400000000000001, 0.27000000000000002, 0.248, 0.27700000000000002, 
    0.35899999999999999, 0.249, 0.27000000000000002, 0.29199999999999998, 
    0.247, 0.28799999999999998, 0.255, 0.26600000000000001, 0.32700000000000001, 
    0.248, 0.28100000000000003, 0.253, 0.25, 0.26800000000000002, 
    0.23499999999999999, 0.19800000000000001, 0.26800000000000002, 
    0.25800000000000001, 0.24199999999999999, 0.27300000000000002, 
    0.26300000000000001, 0.30199999999999999, 0.251, 0.19600000000000001, 
    0.27400000000000002, 0.26900000000000002, 0.255, 0.27700000000000002, 
    0.26500000000000001, 0.27000000000000002, 0.23000000000000001, 
    0.32100000000000001, 0.28499999999999998, 0.315, 0.254, 0.25600000000000001, 
    0.247, 0.26200000000000001, 0.24099999999999999, 0.25600000000000001, 
    0.27600000000000002, 0.29999999999999999, 0.255, 0.23799999999999999, 
    0.24299999999999999, 0.28399999999999997, 0.249, 0.252, 0.251, 
    0.26700000000000002, 0.26100000000000001, 0.26000000000000001, 
    0.223, 0.27600000000000002, 0.29099999999999998, 0.25600000000000001, 
    0.29199999999999998, 0.24399999999999999, 0.26200000000000001, 
    0.29599999999999999, 0.27500000000000002, 0.30399999999999999, 
    0.29099999999999998, 0.252, 0.246, 0.217, 0.23999999999999999, 
    0.28100000000000003, 0.218, 0.251, 0.30499999999999999, 0.29899999999999999, 
    0.26300000000000001, 0.23699999999999999, 0.26900000000000002, 
    0.318, 0.25600000000000001, 0.26600000000000001, 0.255, 0.27800000000000002, 
    0.26900000000000002, 0.245, 0.28599999999999998, 0.31, 0.23499999999999999, 
    0.25600000000000001, 0.29999999999999999, 0.248, 0.27600000000000002, 
    0.27700000000000002, 0.23699999999999999, 0.221, 0.23100000000000001, 
    0.26200000000000001, 0.26300000000000001, 0.28000000000000003, 
    0.30199999999999999, 0.26800000000000002, 0.26100000000000001, 
    0.307, 0.22700000000000001, 0.25900000000000001, 0.26800000000000002, 
    0.254, 0.26300000000000001, 0.246, 0.318, 0.29099999999999998, 
    0.24299999999999999, 0.27200000000000002, 0.25900000000000001, 
    0.218, 0.25600000000000001, 0.247, 0.27600000000000002, 0.251, 
    0.249, 0.308, 0.27900000000000003, 0.26800000000000002, 0.26300000000000001, 
    0.25800000000000001, 0.24399999999999999, 0.248, 0.224, 0.23000000000000001, 
    0.25900000000000001, 0.23899999999999999, 0.27100000000000002, 
    0.30299999999999999, 0.28000000000000003, 0.26300000000000001, 
    0.28199999999999997, 0.27000000000000002, 0.20699999999999999, 
    0.26500000000000001, 0.25600000000000001, 0.28499999999999998, 
    0.25900000000000001, 0.23999999999999999, 0.29699999999999999, 
    0.26900000000000002, 0.29399999999999998, 0.28799999999999998, 
    0.25600000000000001, 0.311, 0.245, 0.255, 0.246, 0.26600000000000001, 
    0.253, 0.34499999999999997, 0.20999999999999999, 0.22800000000000001, 
    0.247, 0.23400000000000001, 0.27900000000000003, 0.26600000000000001, 
    0.20399999999999999, 0.21099999999999999, 0.27400000000000002, 
    0.29999999999999999, 0.27100000000000002, 0.25600000000000001, 
    0.23000000000000001, 0.253, 0.29699999999999999, 0.28299999999999997, 
    0.193, 0.249, 0.23000000000000001, 0.20699999999999999, 0.23999999999999999, 
    0.27100000000000002, 0.28899999999999998, 0.23400000000000001, 
    0.19500000000000001, 0.23799999999999999, 0.255, 0.22500000000000001, 
    0.27100000000000002, 0.22, 0.27300000000000002, 0.23799999999999999, 
    0.28000000000000003, 0.23499999999999999, 0.20599999999999999, 
    0.27600000000000002, 0.20499999999999999, 0.28299999999999997, 
    0.27600000000000002, 0.215, 0.19, 0.249, 0.28299999999999997, 
    0.29599999999999999, 0.24399999999999999, 0.21099999999999999, 
    0.27500000000000002, 0.26800000000000002, 0.25800000000000001, 
    0.27800000000000002, 0.23100000000000001, 0.24199999999999999, 
    0.14599999999999999, 0.25, 0.23699999999999999, 0.183, 0.23899999999999999, 
    0.216, 0.28399999999999997, 0.255, 0.20100000000000001, 0.23899999999999999, 
    0.24099999999999999, 0.21299999999999999, 0.214, 0.20799999999999999, 
    0.25, 0.20300000000000001, 0.28799999999999998, 0.26100000000000001, 
    0.27200000000000002, 0.19500000000000001, 0.19500000000000001, 
    0.25, 0.29999999999999999, 0.26700000000000002, 0.26200000000000001, 
    0.25700000000000001, 0.27700000000000002, 0.254, 0.28999999999999998, 
    0.26000000000000001, 0.217, 0.311, 0.20499999999999999, 0.23300000000000001, 
    0.28999999999999998, 0.249, 0.30399999999999999, 0.23599999999999999, 
    0.19700000000000001, 0.214, 0.247, 0.253, 0.20399999999999999, 
    0.26100000000000001, 0.217, 0.27400000000000002, 0.26800000000000002, 
    0.191, 0.24399999999999999, 0.23999999999999999, 0.24399999999999999, 
    0.28699999999999998, 0.26500000000000001, 0.22900000000000001, 
    0.20699999999999999, 0.22, 0.26300000000000001, 0.246, 0.27700000000000002, 
    0.182, 0.29099999999999998, 0.19600000000000001, 0.252, 0.216, 
    0.25900000000000001, 0.24199999999999999, 0.25, 0.214, 0.25800000000000001, 
    0.26600000000000001, 0.20300000000000001, 0.253, 0.19600000000000001, 
    0.25, 0.18099999999999999, 0.22700000000000001, 0.27600000000000002, 
    0.25, 0.219, 0.23799999999999999, 0.26000000000000001, 0.26200000000000001, 
    0.30599999999999999, 0.247, 0.255, 0.20100000000000001, 0.222, 
    0.25, 0.224, 0.19700000000000001, 0.254, 0.214, 0.28100000000000003, 
    0.28799999999999998, 0.23699999999999999, 0.215, 0.19400000000000001, 
    0.28100000000000003, 0.26600000000000001, 0.21099999999999999, 
    0.22800000000000001, 0.17299999999999999, 0.23799999999999999, 
    0.23999999999999999, 0.20999999999999999, 0.19400000000000001, 
    0.22, 0.23100000000000001, 0.28899999999999998, 0.25600000000000001, 
    0.192, 0.20999999999999999, 0.20699999999999999, 0.27800000000000002, 
    0.246, 0.28100000000000003, 0.214, 0.214, 0.23200000000000001, 
    0.25, 0.23400000000000001, 0.19800000000000001, 0.27300000000000002, 
    0.21099999999999999, 0.27800000000000002, 0.23100000000000001, 
    0.157, 0.19600000000000001, 0.255, 0.255, 0.23100000000000001, 
    0.221, 0.14399999999999999, 0.308, 0.214, 0.157, 0.26500000000000001, 
    0.23200000000000001, 0.26300000000000001, 0.27600000000000002, 
    0.23499999999999999, 0.184, 0.224, 0.20599999999999999, 0.216, 
    0.22900000000000001, 0.21099999999999999, 0.19400000000000001, 
    0.32300000000000001, 0.26100000000000001, 0.14099999999999999, 
    0.23000000000000001, 0.14899999999999999, 0.23000000000000001, 
    0.20899999999999999, 0.20200000000000001, 0.20200000000000001, 
    0.16700000000000001, 0.19500000000000001, 0.185, 0.24099999999999999, 
    0.17699999999999999, 0.19, 0.218, 0.192, 0.20799999999999999, 
    0.19500000000000001, 0.104, 0.247, 0.19700000000000001, 0.28000000000000003, 
    0.24299999999999999, 0.111, 0.16700000000000001, 0.19700000000000001, 
    0.14099999999999999, 0.155, 0.186, 0.26100000000000001, 0.217, 
    0.14699999999999999, 0.14899999999999999, 0.17899999999999999, 
    0.104, 0.106, 0.19700000000000001, 0.23100000000000001, 0.185, 
    0.078, 0.219, 0.188, 0.222, 0.254, 0.254, 0.20599999999999999, 
    0.19, 0.14499999999999999, 0.20999999999999999, 0.097000000000000003, 
    0.17699999999999999, 0.113, 0.19400000000000001, 0.17699999999999999, 
    0.29499999999999998, 0.246, 0.14799999999999999, 0.14799999999999999, 
    0.21299999999999999, 0.13300000000000001, 0.217, 0.11899999999999999, 
    0.186, 0.13600000000000001, 0.085000000000000006, 0.10199999999999999, 
    0.31, 0.19, 0.19, 0.13800000000000001, 0.21099999999999999, 
    0.105, 0.22800000000000001, 0.14000000000000001, 0.14000000000000001, 
    0.214, 0.19600000000000001, 0.088999999999999996, 0.27300000000000002, 
    0.36399999999999999, 0.127, 0.055, 0.035999999999999997, 
    0.23599999999999999, 0.16400000000000001, 0.20399999999999999, 
    0.111, 0.185, 0.20399999999999999, 0.111, 0.036999999999999998, 
    0.092999999999999999, 0.13200000000000001, 0.34000000000000002, 
    0.151, 0.189, 0.17299999999999999, 0.26900000000000002, 0.23100000000000001, 
    0.17299999999999999, 0.23100000000000001, 0.255, 0.098000000000000004, 
    0.11799999999999999, 0.28000000000000003, 0.30599999999999999, 
    0.32700000000000001, 0.184, 0.28599999999999998, 0.063, 0.25, 
    0.188, 0.33300000000000002, 0.21299999999999999, 0.17000000000000001, 
    0.191, 0.152, 0.26700000000000002, 0.13600000000000001, 0.25, 
    0.090999999999999998, 0.29499999999999998, 0.318, 0.159, 
    0.32600000000000001, 0.16700000000000001, 0.14299999999999999, 
    0.14299999999999999, 0.19, 0.22, 0.17100000000000001, 0.14599999999999999, 
    0.074999999999999997, 0.14999999999999999, 0.125, 0.14999999999999999, 
    0.17899999999999999, 0.17899999999999999, 0.128, 0.35899999999999999, 
    0.20499999999999999, 0.20499999999999999, 0.158, 0.184, 0.21099999999999999, 
    0.23699999999999999, 0.26300000000000001, 0.189, 0.29699999999999999, 
    0.13500000000000001, 0.189, 0.189, 0.30599999999999999, 0.19400000000000001, 
    0.222, 0.20000000000000001, 0.14299999999999999, 0.17100000000000001, 
    0.34300000000000003, 0.20000000000000001, 0.20000000000000001, 
    0.26500000000000001, 0.20599999999999999, 0.11799999999999999, 
    0.17599999999999999, 0.21199999999999999, 0.24199999999999999, 
    0.24199999999999999, 0.090999999999999998, 0.21199999999999999, 
    0.060999999999999999, 0.121, 0.28100000000000003, 0.094, 
    0.156, 0.129, 0.065000000000000002, 0.20000000000000001, 
    0.29999999999999999, 0.20000000000000001, 0.20699999999999999, 
    0.17199999999999999, 0.13800000000000001, 0.13800000000000001, 
    0.27600000000000002, 0.17899999999999999, 0.17899999999999999, 
    0.14299999999999999, 0.17899999999999999, 0.073999999999999996, 
    0.14799999999999999, 0.185, 0.111, 0.29599999999999999, 0.185, 
    0, 0.037999999999999999, 0.154, 0.076999999999999999, 0.076999999999999999, 
    0.154, 0.192, 0.192, 0.040000000000000001, 0.12, 0.16, 0.28000000000000003, 
    0.12, 0.20799999999999999, 0.25, 0.16700000000000001, 0.20799999999999999, 
    0.125, 0.083000000000000004, 0.29199999999999998, 0.083000000000000004, 
    0.16700000000000001, 0.217, 0.26100000000000001, 0.13, 0.217, 
    0.217, 0.26100000000000001, 0.086999999999999994, 0.090999999999999998, 
    0.22700000000000001, 0.13600000000000001, 0.13600000000000001, 
    0.044999999999999998, 0.19, 0.048000000000000001, 0.14299999999999999, 
    0.29999999999999999, 0.10000000000000001, 0.050000000000000003, 
    0.29999999999999999, 0.050000000000000003, 0.10000000000000001, 
    0.158, 0.21099999999999999, 0.158, 0.056000000000000001, 
    0.16700000000000001, 0.16700000000000001, 0.16700000000000001, 
    0.29399999999999998, 0.23499999999999999, 0.23499999999999999, 
    0.17599999999999999, 0.11799999999999999, 0, 0.063, 0.20000000000000001, 
    0.40000000000000002, 0.26700000000000002, 0.33300000000000002, 
    0.20000000000000001, 0.067000000000000004, 0.35699999999999998, 
    0.14299999999999999, 0.070999999999999994, 0.214, 0.070999999999999994, 
    0.214, 0, 0.076999999999999999, 0, 0.23100000000000001, 0.154, 
    0.308, 0.308, 0.25, 0.16700000000000001, 0.083000000000000004, 
    0.16700000000000001, 0.33300000000000002, 0.090999999999999998, 
    0.090999999999999998, 0.27300000000000002, 0.090999999999999998, 
    0.40000000000000002, 0, 0, 0.10000000000000001, 0.20000000000000001, 
    0.20000000000000001, 0.40000000000000002, 0.20000000000000001, 
    0.20000000000000001, 0.111, 0, 0.111, 0.222, 0, 0.125, 0.125, 
    0.125, 0, 0.125, 0.125, 0, 0.125, 0, 0, 0.28599999999999998, 
    0, 0, 0, 0.28599999999999998, 0.28599999999999998, 0.14299999999999999, 
    0.28599999999999998, 0.14299999999999999, 0.14299999999999999, 
    0.14299999999999999, 0.28599999999999998, 0, 0.42899999999999999, 
    0, 0, 0.5, 0.16700000000000001, 0, 0, 0, 0, 0, 0.5, 0, 0.20000000000000001, 
    0.20000000000000001, 0.20000000000000001, 0, 0, 0.40000000000000002, 
    0, 0, 0, 0, 0.40000000000000002, 0, 0, 0, 0, 0.20000000000000001, 
    0, 0.20000000000000001, 0, 0, 0.25, 0.25, 0, 0.25, 0, 0.25, 
    0, 0.25, 0, 0, 0.25, 0.5, 0, 0, 0.25, 0, 0, 0, 0, 0.25, 0, 
    0, 0, 0, 0.25, 0, 0, 0, 0.33300000000000002, 0, 0, 0, 0, 
    0, 0, 0, 0, 0.33300000000000002, 0, 0, 0.33300000000000002, 
    0, 0.33300000000000002, 0, 0, 0, 0, 0.33300000000000002, 
    0, 0.66700000000000004, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.5, 0.5, 0, 0, 
    0, 0, 0, 0.5, 0, 0, 0, 0.5, 0, 0.5, 0.5, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 
    0, 0, 0)), row.names = c(NA, 1199L), class = c("tbl_df", 
"tbl", "data.frame"))
