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TrivialGames.md

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Trivial games

These are games whose periods can be found by considering nimbers for heaps smaller than 1000.

game prefix period nimbers
4 1 2 0(01)
.1 2 1 01(0)
.4 54 34 000112031103322405223301130211045274011203110332244552(3301130211045374811203110332244559)
.02 1 4 0(0011)
.11 3 1 011(0)
.12 1 4 0(1001)
.15 1 10 0(1101122122)
.17 33 34 011021301132234153223110312011442(6411021301132234457223110312011443)
.22 1 3 0(012)
.26 1 4 0(0123)
.31 3 2 012(01)
.32 1 3 0(102)
.34 7 8 0101201(03121203)
.35 1 6 0(120102)
.44 143 24 00011223311443322114422664411227711443322114466774411228855447722118866774411223311447722118822774411228811447722114422774411228811447722118866(774411228811447722118822)
.51 1 1 0(1)
.52 4 4 0102(2103)
.53 11 9 01122102240(122112241)
.54 3 7 010(1222411)
.57 1 4 0(1122)
.71 3 2 012(10)
.72 1 4 0(1023)
.75 1 2 0(12)
.77 71 12 01231432142641271432146741285472186741231472182741281472142741281472186(741281472182)
4.3 2 2 01(20)
.002 1 6 0(000111)
.017 15 60 001112023114045(132021114026164041112026154046132021118026164041112026114046)
.022 1 5 0(00112)
.044 214 36 0000111222333111444333222111444222666444111222777111444333222111444666777444111222888555444777222111888666777444111222333111444777222111888222777444111222888111444777222111444222777444111222888111444777222111888666(777444111222888111444777222111888222)
.045 189 32 000111222331114443322211144222664441112227711144433222111448627744411122288851444772221118886277444111222381114447722211188222774441112228811144477222111442227744411122288111444772221118886(27744411122288111444772221118822)
.051 48 48 001110221340111322234015432223101043222010104325(401010232340101323234010432323101043232010104323)
.055 259 148 0011122231114443222111422264441112227111444322211148227444111222781144472221114422774411122277111447222111448227441112227781144722211144422774111222777111442221114448227411122274781144722111444812744112227478111442211144481224411122744411184721114447112844112(2744411184421114447212844111274441118447111444721114442127441112244781144472111444811744411127478114447211144481124441112744411174721114447112844111)
.101 4 1 0101(0)
.102 1 6 0(100011)
.111 4 1 0111(0)
.112 1 6 0(110001)
.115 1 14 0(11101112221222)
.116 139 96 011002120211044152411204120411544252021544858282524A1A0A52425114051202114A514201120A120A1189818201120A12061104415241120415041152425A0A15428(58285524A1A0A52425114051202114A514201120A120A818981C201120A12061104415241120415041152425A0A1542C)
.121 4 4 0102(1001)
.122 1 5 0(10021)
.123 5 5 01022(10021)
.124 122 62 01001102130213011302332234250425322332031103120312011405547264750411021302130113023322746544557263320311031203120114055473(64758411021302130113023322746544557963320311031203120114055475)
.131 4 4 0112(0011)
.132 1 5 0(11002)
.134 60 62 011001120312031103122332243514352233221301130213021104154462(74651401120312031103122332647544756273221301130213021104154463)
.141 14 11 01011012212410(11212212412)
.144 4 10 0100(1222244111)
.145 3 9 010(112222411)
.147 3 8 010(12224411)
.152 2 48 01(102220104323101322401042231013234010222010432340)
.153 16 14 0111222110222440(11222111222441)
.154 4 11 0110(11222224111)
.157 1 6 0(111222)
.171 12 11 011221102140(11221122142)
.173 21 40 011223104320112235143(2211023741322104627401223104620112275147)
.176 24 8 011022344116223441166332(41166334)
.226 21 5 001234012345123451230(51234)
.312 5 2 01202(01)
.316 4 12 0120(212301030123)
.331 4 3 0123(012)
.332 1 4 0(1203)
.351 1 8 0(12120102)
.353 4 2 0121(20)
.373 2 28 01(2340123415231472104321402640)
.375 37 18 0123124321342748148124814381482148148(124814781482148174)
.512 3 6 011(122210)
.524 1 52 0(1022104416701226144618701876147610781674107210781678)
.532 7 5 0112240(12241)
.536 1 5 0(11224)
.772 8 4 01234162(4163)
4.12 6 7 011220(4211221)
4.72 1 3 0(124)
4.005 31 79 0012123145132121527526126268458(3615156158158656541821856567281216515813212162682812128158132121826826121261461)
4.024 2 60 00(12314314214264164134132142842812314314614624124134132182B82B)
4.102 8 10 01112220(4421112221)
4.122 6 7 011220(4311224)
4.304 25 21 0120212461528156261625186(8182615261582816251B2)
4.323 4 4 0124(3021)
4.444 143 24 00123456732897654328945CD982345FE328976543289DCFE982345GHAB89EF5432GHDCFE982345673289EF5432GH45FE982345GH3289EF54328945FE982345GH3289EF5432GHDC(FE982345GH3289EF5432GH45)
4.722 4 4 0124(6125)
4.726 5 16 01246(12741824187B1248)
4.766 19 20 01246128A1D2G14DE18(4D12481DG8142D148D1G)