This file describes what happens if you change the blue squares (where you g\ et a bonus chick) in the board The original board of Count The Chickens is (where we denote Cow, Dog, Pig, \ Sheep Tractor by 1,2,3,4,5,respectively is [0, 0, 4, 3, 5, 1, 2, 3, 1, 2, 4, 5, 0, 1, 3, 0, 0, 0, 5, 0, 5, 2, 4, 1, 2, 3, 5, 0, 4, 1, 0, 0, 5, 3, 4, 2, 0, 4, 1, 3] and the set of locations of the blue squares (where the starting square is d\ enoted by 1, NOT 0) {5, 9, 23, 36, 40} The information about the original case, assuming that the game ended in at \ most 80 moves, is (the first number is the prob. of winning) [0.64103739962313655667, [39.322304391423431771, 1.2907513179745173166, -2.0548902227966114446, 7.8590953453453550353, -32.804144889174185118, 160.05451848354814938], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.621771427088784897, 4.4771413944940919516, 0.45559403195493246819, 3.1754251658754797883, 4.5467729510141743696, 19.558653706944465191], -0.52778542190743271167, -36 0.89185709281639359848 10 ] Assuming that the board is fixed, but only the set of blue squares changes w\ e have If the set of blue squares is, {}, then the information is [0.22031356226900453321, [38.293659365455361597, 2.1514004903360541154, -1.0271641662952297239, 4.3268320751959452455, -12.432173231290589724, 49.734819568909045672], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.2646486721990284783, 2.6799257789408133210, 0.47051575860171472516, 3.2188856746760325191, 4.8246955972532488095, 20.616054982234562628], -0.73677236348489193385, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5}, then the information is [0.30427770954097454416, [38.520649376319132637, 2.0916852622451781975, -1.1310190470911296291, 4.4784926458167741029, -13.567548536883472757, 54.194491287218473956], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.6847929434460298492, 3.2315825432887825439, 0.46193020333792878795, 3.1701833022331364991, 4.5983718855653312327, 19.566181523264179091], -0.69106254794530996479, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9}, then the information is [0.27795619913061411136, [38.457861134572963805, 2.0964232025555499951, -1.0928038739232699718, 4.4136744515660506827, -13.131572656081003695, 52.398589025752728946], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.6774311583871926437, 3.3483266810673513793, 0.46813907662932391868, 3.1379972769163299445, 4.5655854626937817565, 19.063852645154234543], -0.68274132973296883841, -36 0.89185709281639359848 10 ] If the set of blue squares is, {23}, then the information is [0.34137238188166904706, [38.614284582562598538, 2.0542198625360211240, -1.1935594725329229034, 4.6063254121193887067, -14.338530032446114483, 57.520368662085156137], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.7413341349083248948, 3.1868046357409906829, 0.43973889846551141626, 3.1559356606705293429, 4.4092246954078422515, 19.257737847653584548], -0.69287947930516231305, -36 0.89185709281639359848 10 ] If the set of blue squares is, {36}, then the information is [0.36073781787374391190, [38.662811223918712302, 2.0285705776512325969, -1.2301155941256159576, 4.6920920154838510050, -14.832509020361735356, 59.764140988775518954], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.7617301662525610919, 3.1800767701318521695, 0.44039793190289890499, 3.1609492942136358761, 4.4186843158995039909, 19.322357308177631500], -0.69556492411858733458, -36 0.89185709281639359848 10 ] If the set of blue squares is, {40}, then the information is [0.30667979651192875628, [38.536102439588992127, 2.0612869642193715348, -1.1363540697286906785, 4.4963437688589868705, -13.665836468496767561, 54.674082348715888794], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.7918617435227207975, 3.3753557345685188822, 0.41655563245192044955, 3.0794925343483727720, 4.0924471428965071626, 17.974641296367593181], -0.66830341023254607307, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9}, then the information is [0.36070454400607060096, [38.673508970057324465, 1.9906360337840241422, -1.2283974875924017684, 4.6956472316360581576, -14.862553317386756537, 60.029485778909135220], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [9.9621072240276615636, 3.6574113121602112375, 0.46470997763457187227, 3.1696932543055511830, 4.6118421196875770125, 19.522842295476944680], -0.64475244079617166421, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 23}, then the information is [0.41823842694951836412, [38.806314264873698351, 1.9207408852561160198, -1.3471028664628738530, 5.0021916014388877692, -16.569451363236005323, 68.055147334240694465], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.019463828603219981, 3.5763856553123751525, 0.44543978947686626907, 3.1604523637392197926, 4.4460295809147390930, 19.292124670378103937], -0.65159841735758103802, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 36}, then the information is [0.43642385223270641936, [38.849728994253979906, 1.8861758580163889135, -1.3902082804023972874, 5.1306313070733241354, -17.269268459461068302, 71.507469602524515425], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.034543021488125196, 3.5752907379081588990, 0.44784224358438513324, 3.1649462054596565985, 4.4681073673261337032, 19.361909836874126116], -0.65433214795224496111, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 40}, then the information is [0.38644239234942184036, [38.738094888980529760, 1.9463358680653014614, -1.2790507594751912129, 4.8236831319767486924, -15.588037267350964582, 63.427978159971056662], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.057554272118092771, 3.7157457988765450533, 0.42994291676176543200, 3.1167009288652881763, 4.2499224469759814716, 18.536330581262923466], -0.62904098359334455451, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 23}, then the information is [0.39578056730981541944, [38.756887358846867618, 1.9444820178494446994, -1.2983051625043165533, 4.8691567010507298651, -15.834193606113758848, 64.516011385874999696], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.005266687794777961, 3.6410482787957168072, 0.45559427711804944530, 3.1554735132354472527, 4.5026413743641642951, 19.234095708876149447], -0.64614574487210549298, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 36}, then the information is [0.41378467497601494513, [38.799552006216956610, 1.9154397286152615146, -1.3373597574587737055, 4.9761581141266497158, -16.423309860727810177, 67.341252780750439856], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.022997569701777858, 3.6417395802470604047, 0.45518473704815964829, 3.1552770984467461320, 4.4994613569187687526, 19.233206421096382500], -0.64761422267983389475, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 40}, then the information is [0.36212368353306018827, [38.683229654854224353, 1.9674886392472135447, -1.2304779573297538537, 4.7031046978666548570, -14.903018001336216032, 60.228732989073488886], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.061804838910808618, 3.7912574737115719969, 0.42715924399012771915, 3.1021513544867318586, 4.2034959998151195256, 18.287566591784168394], -0.62031850314982998493, -36 0.89185709281639359848 10 ] If the set of blue squares is, {23, 36}, then the information is [0.46916934452558858498, [38.926063145961477769, 1.8201550358052775588, -1.4725030124364731704, 5.3906270094762540023, -18.674416053453270698, 78.569534228850024538], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.081235608039039290, 3.5644500774895414156, 0.43293355045659573698, 3.1499296533819786760, 4.3236777011831403942, 19.049458748122388646], -0.65510748023981061883, -36 0.89185709281639359848 10 ] If the set of blue squares is, {23, 40}, then the information is [0.42114753403665008792, [38.820638802067272817, 1.8899355569520330464, -1.3548602367451117714, 5.0314021692262577744, -16.729287590070376754, 68.884052421908750356], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.091282461328830000, 3.6895647208395525727, 0.42410544453080359271, 3.1121440364078230518, 4.1884228354296706511, 18.422341688048926575], -0.63163345800648503520, -36 0.89185709281639359848 10 ] If the set of blue squares is, {36, 40}, then the information is [0.43967561913998867183, [38.865369962375967256, 1.8519489262053808943, -1.3995339094453313441, 5.1673737417026535043, -17.471760866881156956, 72.579259067551954250], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.099748582739650746, 3.6795136758904604456, 0.42784843141025426264, 3.1194049408553987450, 4.2292569691017856562, 18.551154399184286266], -0.63553889010058796284, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 23}, then the information is [0.47055629806814763535, [38.937940875597624023, 1.7834524582107843045, -1.4742286688502994409, 5.4043744512790581707, -18.769650202323159114, 79.205350677647404535], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.219845702035017509, 3.9176663557724814264, 0.45872530217305861455, 3.1765459443101136633, 4.5737687315350594404, 19.588501548019888026], -0.61036887049417315979, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 36}, then the information is [0.48721838506989149340, [38.975693401314262434, 1.7482695556361663794, -1.5188868710771650911, 5.5550497236762827670, -19.587746501761033535, 83.442088988309379237], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.234760028081064939, 3.9227621630284533929, 0.45903166576792230085, 3.1765662444671037470, 4.5755184120861412176, 19.590483366412554582], -0.61176173093854073496, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 40}, then the information is [0.43993143039449756262, [38.874078533665274446, 1.8202068956694326779, -1.3973071871423690919, 5.1661045645943680338, -17.481979467162185952, 72.750424280096302298], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.259415604967677184, 4.0324382843861166492, 0.44247201969642063625, 3.1441669618859598313, 4.3927520359606974244, 18.994081248262572789], -0.58700885855803687010, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 23, 36}, then the information is [0.53590731360099401432, [39.081327469722763230, 1.6467315236184191647, -1.6627918044559767603, 6.0814156968623726610, -22.464542709427299184, 98.819497989790753117], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.287462887623970646, 3.8863263816012670261, 0.44241768071372629659, 3.1625966245115358295, 4.4174983372824800110, 19.280565401121609603], -0.61625843969829790428, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 23, 40}, then the information is [0.49231987241508594599, [38.989319832832873587, 1.7289986603093705153, -1.5329158335169601836, 5.6062334942758133442, -19.870670387196972731, 84.954098026068542907], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.293458381462714836, 3.9810752990887141470, 0.43611737931449040080, 3.1383583063245426449, 4.3264146979990720708, 18.870716738608913006], -0.59482641378661321721, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 36, 40}, then the information is [0.50954715752003213401, [39.029110924319931309, 1.6860935706219916036, -1.5833231013068157379, 5.7897797348282539436, -20.876266352987451710, 90.316696334836703658], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.301381776366156153, 3.9780607540042577885, 0.43911537102250195185, 3.1426016430891846401, 4.3564027312215367197, 18.952197817312616600], -0.59846040120936785799, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 23, 36}, then the information is [0.51735974040348999488, [39.042703473354886235, 1.6819547505790355136, -1.6051770822497343886, 5.8624491238279530793, -21.257525707661213958, 92.246920222019009054], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.273008808027135139, 3.9265408092116766842, 0.45112055208410271873, 3.1636072952739218764, 4.4810372075880925532, 19.325903372671230161], -0.61215685210292286802, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 23, 40}, then the information is [0.47215059517236610961, [38.946824897340202579, 1.7606151302678208922, -1.4780091084056365439, 5.4201180091023220052, -18.856146603616624524, 79.666992288390970185], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.287011098521566795, 4.0277985890026193681, 0.43985313053664623596, 3.1354793771167839930, 4.3480914162909142026, 18.834142733298495708], -0.58910286269884685271, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 36, 40}, then the information is [0.48916295004389059350, [38.985961226508844779, 1.7220944798650570187, -1.5242930086411441167, 5.5787103050886651879, -19.720070270601521335, 84.168966570604934539], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.296003991814154194, 4.0263966818733279465, 0.44170316672699941417, 3.1376961702188095664, 4.3670755497415331776, 18.882162028842590643], -0.59170333994245825996, -36 0.89185709281639359848 10 ] If the set of blue squares is, {23, 36, 40}, then the information is [0.53938480782247205545, [39.095371333116194645, 1.6136666094563654506, -1.6750654533072035851, 6.1380516638321526355, -22.789484551125511849, 100.68160817105729425], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.335281134316755526, 3.9741224586399158113, 0.43175175628384079979, 3.1339181530758116814, 4.2785340620898919898, 18.768681210518913724], -0.59956624797309315501, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 23, 36}, then the information is [0.58143085778360574420, [39.187974064451409437, 1.4972095376343430824, -1.8156929996883856385, 6.7212857353274968922, -26.078968761095285664, 119.34461624318908001], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.442430885170128349, 4.1775909028342842874, 0.45656127641504641043, 3.1805309000191245013, 4.5620355074583258700, 19.638141586248973681], -0.57746162591054855306, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 23, 40}, then the information is [0.54079311764226768101, [39.105035526962259249, 1.5828971581427880986, -1.6767022225836990236, 6.1510803728294548234, -22.887293695687257894, 101.38226712099303281], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.449538147954350726, 4.2548021309691403204, 0.45010834287511856518, 3.1624419407999597339, 4.4804189286332737227, 19.318183109153010589], -0.55679013937633062365, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 9, 36, 40}, then the information is [0.55640160150012961866, [39.139478939590374111, 1.5416819396098125962, -1.7283131486675699290, 6.3600503063168181967, -24.055931940806100389, 107.91899463176245971], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.458536984672218583, 4.2576763680387580872, 0.45134867149572333116, 3.1635830056071116218, 4.4925972132735688021, 19.345313843413295343], -0.55905691938511293313, -36 0.89185709281639359848 10 ] If the set of blue squares is, {5, 23, 36, 40}, then the information is [0.59979182198990773061, [39.229844565865243655, 1.4360034359972722385, -1.8856637643400787858, 7.0387415530492761218, -27.915531664003585485, 130.15004924488490123], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.496307152697031749, 4.2343826339719374009, 0.44246658940971977245, 3.1542395450946028054, 4.4009529998469486753, 19.144144635144174059], -0.56398738695096688288, -36 0.89185709281639359848 10 ] If the set of blue squares is, {9, 23, 36, 40}, then the information is [0.58346410375486709479, [39.197103253408551823, 1.4725906425033903639, -1.8231984691095231609, 6.7598408074212664585, -26.308212041134572788, 120.71943050206261780], [11.447067101613353025, 6.2803011216806430055, 0.56530276229872264081, 3.4188881018531040976, 6.0493018857079733301, 24.933323696907909142], [10.486810258856629768, 4.2650081563136538730, 0.44727555151192923911, 3.1552030124678762180, 4.4389682049193201698, 19.178345634128155680], -0.55980510746850033417, -36 0.89185709281639359848 10 ] This took, 46.378, seconds.