迷宮キングダム ダイス確率計算

mayodice.rb

#!ruby
# -*- encoding: utf-8 -*-
# 迷宮キングダム(まよキン) ダイス確率表
# N個の6面ダイス(Nd6)を振った場合に、高い方から順に出目2つを選んだものの和の値が出る確率

# ダイス [パターン総数] [期待値]
## 目標値 出現数 成功数 出現率 成功率
# 2d6 [pattern: 36] [mean: 7.000000]
##  2                                1                               36  2.7777777777777777777777777777778% 100.0000000000000000000000000000000%
##  3                                2                               35  5.5555555555555555555555555555556%  97.2222222222222222222222222222222%
##  4                                3                               33  8.3333333333333333333333333333333%  91.6666666666666666666666666666667%
##  5                                4                               30 11.1111111111111111111111111111111%  83.3333333333333333333333333333333%
##  6                                5                               26 13.8888888888888888888888888888889%  72.2222222222222222222222222222222%
##  7                                6                               21 16.6666666666666666666666666666667%  58.3333333333333333333333333333333%
##  8                                5                               15 13.8888888888888888888888888888889%  41.6666666666666666666666666666667%
##  9                                4                               10 11.1111111111111111111111111111111%  27.7777777777777777777777777777778%
## 10                                3                                6  8.3333333333333333333333333333333%  16.6666666666666666666666666666667%
## 11                                2                                3  5.5555555555555555555555555555556%   8.3333333333333333333333333333333%
## 12                                1                                1  2.7777777777777777777777777777778%   2.7777777777777777777777777777778%
# 3d6 [pattern: 216] [mean: 8.458333]
##  2                                1                              216  0.4629629629629629629629629629630% 100.0000000000000000000000000000000%
##  3                                3                              215  1.3888888888888888888888888888889%  99.5370370370370370370370370370370%
##  4                                7                              212  3.2407407407407407407407407407407%  98.1481481481481481481481481481481%
##  5                               12                              205  5.5555555555555555555555555555556%  94.9074074074074074074074074074074%
##  6                               19                              193  8.7962962962962962962962962962963%  89.3518518518518518518518518518519%
##  7                               27                              174 12.5000000000000000000000000000000%  80.5555555555555555555555555555556%
##  8                               34                              147 15.7407407407407407407407407407407%  68.0555555555555555555555555555556%
##  9                               36                              113 16.6666666666666666666666666666667%  52.3148148148148148148148148148148%
## 10                               34                               77 15.7407407407407407407407407407407%  35.6481481481481481481481481481481%
## 11                               27                               43 12.5000000000000000000000000000000%  19.9074074074074074074074074074074%
## 12                               16                               16  7.4074074074074074074074074074074%   7.4074074074074074074074074074074%
# 4d6 [pattern: 1296] [mean: 9.344136]
##  2                                1                             1296  0.0771604938271604938271604938272% 100.0000000000000000000000000000000%
##  3                                4                             1295  0.3086419753086419753086419753086%  99.9228395061728395061728395061728%
##  4                               15                             1291  1.1574074074074074074074074074074%  99.6141975308641975308641975308642%
##  5                               32                             1276  2.4691358024691358024691358024691%  98.4567901234567901234567901234568%
##  6                               65                             1244  5.0154320987654320987654320987654%  95.9876543209876543209876543209877%
##  7                              108                             1179  8.3333333333333333333333333333333%  90.9722222222222222222222222222222%
##  8                              171                             1071 13.1944444444444444444444444444444%  82.6388888888888888888888888888889%
##  9                              224                              900 17.2839506172839506172839506172840%  69.4444444444444444444444444444444%
## 10                              261                              676 20.1388888888888888888888888888889%  52.1604938271604938271604938271605%
## 11                              244                              415 18.8271604938271604938271604938272%  32.0216049382716049382716049382716%
## 12                              171                              171 13.1944444444444444444444444444444%  13.1944444444444444444444444444444%
# 5d6 [pattern: 7776] [mean: 9.930170]
##  2                                1                             7776  0.0128600823045267489711934156379% 100.0000000000000000000000000000000%
##  3                                5                             7775  0.0643004115226337448559670781893%  99.9871399176954732510288065843621%
##  4                               31                             7770  0.3986625514403292181069958847737%  99.9228395061728395061728395061728%
##  5                               80                             7739  1.0288065843621399176954732510288%  99.5241769547325102880658436213992%
##  6                              211                             7659  2.7134773662551440329218106995885%  98.4953703703703703703703703703704%
##  7                              405                             7448  5.2083333333333333333333333333333%  95.7818930041152263374485596707819%
##  8                              776                             7043  9.9794238683127572016460905349794%  90.5735596707818930041152263374486%
##  9                             1200                             6267 15.4320987654320987654320987654321%  80.5941358024691358024691358024691%
## 10                             1696                             5067 21.8106995884773662551440329218107%  65.1620370370370370370370370370370%
## 11                             1845                             3371 23.7268518518518518518518518518519%  43.3513374485596707818930041152263%
## 12                             1526                             1526 19.6244855967078189300411522633745%  19.6244855967078189300411522633745%
# 6d6 [pattern: 46656] [mean: 10.344479]
##  2                                1                            46656  0.0021433470507544581618655692730% 100.0000000000000000000000000000000%
##  3                                6                            46655  0.0128600823045267489711934156379%  99.9978566529492455418381344307270%
##  4                               63                            46649  0.1350308641975308641975308641975%  99.9849965706447187928669410150892%
##  5                              192                            46586  0.4115226337448559670781893004115%  99.8499657064471879286694101508916%
##  6                              665                            46394  1.4253257887517146776406035665295%  99.4384430727023319615912208504801%
##  7                             1458                            45729  3.1250000000000000000000000000000%  98.0131172839506172839506172839506%
##  8                             3361                            44271  7.2037894375857338820301783264746%  94.8881172839506172839506172839506%
##  9                             5952                            40910 12.7572016460905349794238683127572%  87.6843278463648834019204389574760%
## 10                            10071                            34958 21.5856481481481481481481481481481%  74.9271262002743484224965706447188%
## 11                            12606                            24887 27.0190329218106995884773662551440%  53.3414780521262002743484224965706%
## 12                            12281                            12281 26.3224451303155006858710562414266%  26.3224451303155006858710562414266%
# 7d6 [pattern: 279936] [mean: 10.651460]
##  2                                1                           279936  0.0003572245084590763603109282122% 100.0000000000000000000000000000000%
##  3                                7                           279935  0.0025005715592135345221764974851%  99.9996427754915409236396890717878%
##  4                              127                           279928  0.0453675125743026977594878829447%  99.9971422039323273891175125743027%
##  5                              448                           279801  0.1600365797896662094192958390489%  99.9517746913580246913580246913580%
##  6                             2059                           279353  0.7355252629172382258802011888432%  99.7917381115683584819387288523091%
##  7                             5103                           277294  1.8229166666666666666666666666667%  99.0562128486511202560585276634659%
##  8                            14190                           272191  5.0690157750342935528120713305898%  97.2332961819844535893918609967993%
##  9                            28224                           258001 10.0823045267489711934156378600823%  92.1642804069501600365797896662094%
## 10                            56638                           229777 20.2324817101051668952903520804755%  82.0819758802011888431641518061271%
## 11                            80703                           173139 28.8290895061728395061728395061728%  61.8494941700960219478737997256516%
## 12                            92436                            92436 33.0204046639231824417009602194787%  33.0204046639231824417009602194787%
# 8d6 [pattern: 1679616] [mean: 10.886813]
##  2                                1                          1679616  0.0000595374180765127267184880354% 100.0000000000000000000000000000000%
##  3                                8                          1679615  0.0004762993446121018137479042829%  99.9999404625819234872732815119646%
##  4                              255                          1679607  0.0151820416095107453132144490169%  99.9994641632373113854595336076818%
##  5                             1024                          1679352  0.0609663161103490321597317482091%  99.9842821216278006401463191586648%
##  6                             6305                          1678328  0.3753834209724127419600670629477%  99.9233158055174516079865874104557%
##  7                            17496                          1672023  1.0416666666666666666666666666667%  99.5479323845450388660265203475080%
##  8                            58967                          1654527  3.5107429317177259564090839811004%  98.5062657178783721993598536808413%
##  9                           130048                          1595560  7.7427221460143270842859320225575%  94.9955227861606462429507696997409%
## 10                           307593                          1465512 18.3132930384087791495198902606310%  87.2528006401463191586648376771834%
## 11                           493928                          1157919 29.4071978356957780826093583295229%  68.9395076017375400091449474165524%
## 12                           663991                           663991 39.5323097660417619265355890870294%  39.5323097660417619265355890870294%
# 9d6 [pattern: 10077696] [mean: 11.071949]
##  2                                1                         10077696  0.0000099229030127521211197480059% 100.0000000000000000000000000000000%
##  3                                9                         10077695  0.0000893061271147690900777320530%  99.9999900770969872478788802519941%
##  4                              511                         10077686  0.0050706034395163338921912310115%  99.9999007709698724787888025199411%
##  5                             2304                         10077175  0.0228623685413808870598994055784%  99.9948301675303561448966112889295%
##  6                            19171                         10074871  0.1902319736574709139866890209826%  99.9719677989889752578367118833511%
##  7                            59049                         10055700  0.5859375000000000000000000000000%  99.7817358253315043438500228623685%
##  8                           242452                          9996651  2.4058276812477772697251435248692%  99.1957983253315043438500228623685%
##  9                           587520                          9754199  5.8299039780521262002743484224966%  96.7899706440837270741248793374994%
## 10                          1631932                          9166679 16.1935029594065945231926027536453%  90.9600666660316008738505309150028%
## 11                          2925801                          7534747 29.0324395576131687242798353909465%  74.7665637066250063506579281613575%
## 12                          4608946                          4608946 45.7341241490118376263780927704110%  45.7341241490118376263780927704110%
# 10d6 [pattern: 60466176] [mean: 11.220495]
##  2                                1                         60466176  0.0000016538171687920201866246676% 100.0000000000000000000000000000000%
##  3                               10                         60466175  0.0000165381716879202018662466765%  99.9999983461828312079798133753324%
##  4                             1023                         60466165  0.0016918549636742366509170350048%  99.9999818080111432877779471286559%
##  5                             5120                         60465142  0.0084675439042151433555182983624%  99.9982899530474690511270300936510%
##  6                            58025                         60460022  0.0959627412191569713288963403275%  99.9898224091432539077715117952887%
##  7                           196830                         60401997  0.3255208333333333333333333333333%  99.8938596679240969364426154549611%
##  8                           989517                         60205167  1.6364802034115734390082812579383%  99.5683388345907636031092821216278%
##  9                          2616320                         59215650  4.3269149350539382546698504631747%  97.9318586311791901641010008636895%
## 10                          8520219                         56599330 14.0908844640679774424630391708581%  93.6049436961252519094311504005148%
## 11                         16909810                         48079111 27.9657340990109908719876712560755%  79.5140592320572744669681112296567%
## 12                         31169301                         31169301 51.5483251330462835949804399735813%  51.5483251330462835949804399735813%
# 11d6 [pattern: 362797056] [mean: 11.341540]
##  2                                1                        362797056  0.0000002756361947986700311041113% 100.0000000000000000000000000000000%
##  3                               11                        362797055  0.0000030319981427853703421452240%  99.9999997243638052013299688958887%
##  4                             2047                        362797044  0.0005642272907528775536701157796%  99.9999966923656624159596267506647%
##  5                            11264                        362794997  0.0031047660982122192303567093995%  99.9994324650749095384059566348852%
##  6                           175099                        362783733  0.0482636220730523237762987801092%  99.9963276989766973191755999254856%
##  7                           649539                        362608634  0.1790364583333333333333333333333%  99.9480640769036449953993011453764%
##  8                          4017146                        361959095  1.1072708373906981207697561911859%  99.7690276185703116620659678120431%
##  9                         11523072                        357941949  3.1761757184711002726549137157276%  98.6617567811796135412962116208573%
## 10                         43984282                        346418877 12.1236601214316358730320016709287%  95.4855810627085132686412979051296%
## 11                         95887539                        302434595 26.4300763785690697556266829243510%  83.3619209412768773956092962342010%
## 12                        206547056                        206547056 56.9318445627078076399826133098500%  56.9318445627078076399826133098500%
# 12d6 [pattern: 2176782336] [mean: 11.441385]
##  2                                1                       2176782336  0.0000000459393657997783385173519% 100.0000000000000000000000000000000%
##  3                               12                       2176782335  0.0000005512723895973400622082225%  99.9999999540606342002216614826481%
##  4                             4095                       2176782323  0.0001881217029500922962285559451%  99.9999994027882446028815992744256%
##  5                            24576                       2176778228  0.0011290058538953524474024397817%  99.9998112810852945105853707184805%
##  6                           527345                       2176753652  0.0242258948576841079254329267031%  99.9986822752313991581379682786989%
##  7                          2125764                       2176226307  0.0976562500000000000000000000000%  99.9744563803737150502125353519958%
##  8                         16245763                       2174100543  0.7463200491535043400866700160507%  99.8768001303737150502125353519958%
##  9                         50307072                       2157854780  2.3110749829237864598327942330381%  99.1304800812202107101258653359451%
## 10                        225237645                       2107547708 10.3472745655356144896611288929533%  96.8194050982964242502930711029070%
## 11                        535605852                       1882310063 24.6053931595299384127306700085240%  86.4721305327608097606319422099537%
## 12                       1346704211                       1346704211 61.8667373732308713479012722014297%  61.8667373732308713479012722014297%
# 13d6 [pattern: 13060694016] [mean: 11.524543]
##  2                                1                      13060694016  0.0000000076565609666297230862253% 100.0000000000000000000000000000000%
##  3                               13                      13060694015  0.0000000995352925661864001209291%  99.9999999923434390333702769137747%
##  4                             8191                      13060694002  0.0000627148908776640617992715403%  99.9999998928081464671838767928456%
##  5                            53248                      13060685811  0.0004076965583510994948953254767%  99.9999371779172688031220775213053%
##  6                          1586131                      13060632563  0.0121443087025613693084776422344%  99.9995294813589177036271821958286%
##  7                          6908733                      13059046432  0.0528971354166666666666666666667%  99.9873851726563563343187045535942%
##  8                         65514528                      13052137699  0.5016159778319700587647546952531%  99.9344880372396896676520378869276%
##  9                        218050560                      12986623171  1.6695174064477524315963578271153%  99.4328720594077196088872831916745%
## 10                       1146685528                      12768572611  8.7796676546839943976220627815066%  97.7633546529599671772909253645591%
## 11                       2955724317                      11621887083 22.6306834336604980609324459347322%  88.9836869982759727796688625830525%
## 12                       8666162766                       8666162766 66.3530035646154747187364166483203%  66.3530035646154747187364166483203%
# 14d6 [pattern: 78364164096] [mean: 11.594332]
##  2                                1                      78364164096  0.0000000012760934944382871810376% 100.0000000000000000000000000000000%
##  3                               14                      78364164095  0.0000000178653089221360205345257%  99.9999999987239065055617128189624%
##  4                            16383                      78364164081  0.0000209062397193824588869382177%  99.9999999808585975834256922844367%
##  5                           114688                      78364147698  0.0001463526106901382802188347865%  99.9999790746188782009668053462191%
##  6                          4766585                      78364033010  0.0060826081091871231028258807448%  99.9998327220081880626865865114325%
##  7                         22320522                      78359266425  0.0284830729166666666666666666667%  99.9937501138990009395837606306878%
##  8                        263652473                      78336945903  0.3364452055878661611647493429290%  99.9652670409823342729170939640211%
##  9                        939409408                      78073293430  1.1987742341629226532724757363052%  99.6288218353944681117523446210920%
## 10                       5812759647                      77133884022  7.4176247702700946577324670095081%  98.4300476012315454584798688847868%
## 11                      16150319654                      71321124375 20.6093178435682091500070353790710%  91.0124228309614508007474018752787%
## 12                      55170804721                      55170804721 70.4031049873932416507403664962077%  70.4031049873932416507403664962077%
# 15d6 [pattern: 470184984576] [mean: 11.653257]
##  2                                1                     470184984576  0.0000000002126822490730478635063% 100.0000000000000000000000000000000%
##  3                               15                     470184984575  0.0000000031902337360957179525939%  99.9999999997873177509269521364937%
##  4                            32767                     470184984560  0.0000069689592553765593435095788%  99.9999999965970840148312341838999%
##  5                           245760                     470184951793  0.0000522687895321922429352981380%  99.9999930276378286382718906743210%
##  6                         14316139                     470184706033  0.0030447886405623743676086269149%  99.9999407588482964460289553761830%
##  7                         71744535                     470170389894  0.0152587890625000000000000000000%  99.9968959702077340716613467492681%
##  8                       1059392902                     470098645359  0.2253140650493829861047952990426%  99.9816371811452340716613467492681%
##  9                       4026286080                     469039252457  0.8563195789059055160089893954989%  99.7563231160958510855565514502254%
## 10                      29372091766                     465012966377  6.2469225367728302842160730430548%  98.9000035371899455695475620547265%
## 11                      87526202535                     435640874611 18.6152696079669033109978341904369%  92.6530810004171152853314890116718%
## 12                     348114672076                     348114672076 74.0378113924502119743336548212348%  74.0378113924502119743336548212348%
# 16d6 [pattern: 2821109907456] [mean: 11.703243]
##  2                                1                    2821109907456  0.0000000000354470415121746439177% 100.0000000000000000000000000000000%
##  3                               16                    2821109907455  0.0000000005671526641947943026834%  99.9999999999645529584878253560823%
##  4                            65535                    2821109907439  0.0000023230218655003652891471106%  99.9999999993974002942930310533989%
##  5                           524288                    2821109841904  0.0000185844585003350197103282269%  99.9999976763755347939277419062883%
##  6                         42981185                    2821109317616  0.0015235558489374581225362089716%  99.9999790919170344589080315780614%
##  7                        229582512                    2821066336431  0.0081380208333333333333333333333%  99.9984555360680970007854953690898%
##  8                       4251920559                    2820836753919  0.1507180045613418172722145317410%  99.9903175152347636674521620357565%
##  9                      17179344896                    2816584833360  0.6089569516804775908483250094705%  99.8395995106734218501799475040155%
## 10                     148063340817                    2799405488464  5.2484073883714613572134797444851%  99.2306425589929442593316224945449%
## 11                     471101380816                    2651342147647 16.6991502022275474245761947814794%  93.9822351706214829021181427500599%
## 12                    2180240766831                    2180240766831 77.2830849683939354775419479685805%  77.2830849683939354775419479685805%
# 17d6 [pattern: 16926659444736] [mean: 11.745802]
##  2                                1                   16926659444736  0.0000000000059078402520291073196% 100.0000000000000000000000000000000%
##  3                               17                   16926659444735  0.0000000001004332842844948244335%  99.9999999999940921597479708926804%
##  4                           131071                   16926659444718  0.0000007743465296737071254896898%  99.9999999998936588754634760682469%
##  5                          1114112                   16926659313647  0.0000065819957188686528140745803%  99.9999992255471292017563505785570%
##  6                        129009091                   16926658199535  0.0007621651006874860408454029905%  99.9999926435514103331035365039767%
##  7                        731794257                   16926529190444  0.0043233235677083333333333333333%  99.9992304784507228470626911009861%
##  8                      17050729004                   16925797396187  0.1007329831362713700268443985161%  99.9949071548830145137293577676528%
##  9                      73013329920                   16908746667183  0.4313510894360571621703776229553%  99.8941741717467431437025133691368%
## 10                     745027789684                   16835733337263  4.4015051647754113223668457039194%  99.4628230823106859815321357461815%
## 11                    2520979696593                   16090705547579 14.8935453260802516232159703871521%  95.0613179175352746591652900422621%
## 12                   13569725850986                   13569725850986 80.1677725914550230359493196551099%  80.1677725914550230359493196551099%
# 18d6 [pattern: 101559956668416] [mean: 11.782139]
##  2                                1                  101559956668416  0.0000000000009846400420048512199% 100.0000000000000000000000000000000%
##  3                               18                  101559956668415  0.0000000000177235207560873219589%  99.9999999999990153599579951487801%
##  4                           262143                  101559956668397  0.0000002581164945312777133477832%  99.9999999999812918392019078268212%
##  5                          2359296                  101559956406254  0.0000023230573125418774637910284%  99.9999997418647973079241944790380%
##  6                        387158345                  101559954046958  0.0003812116090833286802818009968%  99.9999974188074847660467306880096%
##  7                       2324522934                  101559566888613  0.0022888183593750000000000000000%  99.9996162071984014373664488870128%
##  8                      68332056229                  101557242365679  0.0672824787156004154514721600075%  99.9973273888390264373664488870128%
##  9                     309235286016                  101488910309450  0.3044854450121764210565538778203%  99.9300449101234260219149767270053%
## 10                    3743653265955                  101179675023434  3.6861509090415296554687057348689%  99.6255594651112496008584228491849%
## 11                   13423672510938                   97436021757479 13.2174854650293589671005371117582%  95.9394085560697199453897171143161%
## 12                   84012349246541                   84012349246541 82.7219230910403609782891800025579%  82.7219230910403609782891800025579%
# 19d6 [pattern: 609359740010496] [mean: 11.813227]
##  2                                1                  609359740010496  0.0000000000001641066736674752033% 100.0000000000000000000000000000000%
##  3                               19                  609359740010495  0.0000000000031180267996820288631%  99.9999999999998358933263325247967%
##  4                           524287                  609359740010476  0.0000000860389956170995719244644%  99.9999999999967178665266504959335%
##  5                          4980736                  609359739486189  0.0000008173720173758457742968433%  99.9999999139577222494270785714692%
##  6                       1161737179                  609359734505453  0.0001906488241215262267606003323%  99.9999990965857048735813042746258%
##  7                       7360989291                  609358572768274  0.0012079874674479166666666666667%  99.9998084477615833473545436742936%
##  8                     273715645458                  609351211778983  0.0449185641068583473386909591145%  99.9986004602941354306878770076269%
##  9                    1305665077248                  609077496133525  0.2142683527509563388114973960502%  99.9536818961872770833491860485124%
## 10                   18791247431890                  607771831056277  3.0837691101099537022585146927185%  99.7394135434363207445376886524622%
## 11                   71173577988891                  588980583624387 11.6800591367695314089842348270847%  96.6556444333263670422791739597438%
## 12                  517807005635496                  517807005635496 84.9755852965568356332949391326590%  84.9755852965568356332949391326590%
# 20d6 [pattern: 3656158440062976] [mean: 11.839866]
##  2                                1                 3656158440062976  0.0000000000000273511122779125339% 100.0000000000000000000000000000000%
##  3                               20                 3656158440062975  0.0000000000005470222455582506777%  99.9999999999999726488877220874661%
##  4                          1048575                 3656158440062955  0.0000000286796925568121352206887%  99.9999999999994256266421638367884%
##  5                         10485760                 3656158439014380  0.0000002867971990792441313322257%  99.9999999713197330698300286160997%
##  6                       3485735825                 3656158428528620  0.0000953387519207170755868667774%  99.9999996845225339905858972838740%
##  7                      23245229340                 3656154942792795  0.0006357828776041666666666666667%  99.9999043457706132735103104170965%
##  8                    1096024843355                 3656131697563455  0.0299774985499841021800237413073%  99.9992685628930091068436437504299%
##  9                    5497547653120                 3655035672720100  0.1503640431136596678837786276996%  99.9692910643430250046636200091226%
## 10                   94244674783509                 3649538125066980  2.5776966815991067864607132974839%  99.8189270212293653367798413814230%
## 11                  375972168423620                 3555293450283471 10.2832569919246720630839378646171%  97.2412303396302585503191280839391%
## 12                 3179321281859851                 3179321281859851 86.9579733477055864872351902193221%  86.9579733477055864872351902193221%
# 21d6 [pattern: 21936950640377856] [mean: 11.862715]
##  2                                1                21936950640377856  0.0000000000000045585187129854223% 100.0000000000000000000000000000000%
##  3                               21                21936950640377855  0.0000000000000957288929726938686%  99.9999999999999954414812870145777%
##  4                          2097151                21936950640377834  0.0000000095599020774560913923185%  99.9999999999998997125883143207091%
##  5                         22020096                21936950638280683  0.0000001003790196777354459662790%  99.9999999904399976351322229283905%
##  6                      10458256051                21936950616260587  0.0000476741559136765251956222591%  99.9999998900609779573967769621115%
##  7                      73222472421                21936940158004536  0.0003337860107421875000000000000%  99.9999522159050642808715813398524%
##  8                    4387586157880                21936866935532115  0.0200008936055317915574153007881%  99.9996184298943220933715813398524%
##  9                   23089722163200                21932479349374235  0.1052549305585814452540910056687%  99.9796175362887903018141660390643%
## 10                  472365889219600                21909389627211035  2.1532887453835455650104136354563%  99.8743626057302088565600750333956%
## 11                 1979626320269829                21437023737991435  9.0241636256684883359458298745268%  97.7210738603466632915496613979393%
## 12                19457397417721606                19457397417721606 88.6969102346781749556038315234125%  88.6969102346781749556038315234125%
# 22d6 [pattern: 131621703842267136] [mean: 11.882328]
##  2                                1               131621703842267136  0.0000000000000007597531188309037% 100.0000000000000000000000000000000%
##  3                               22               131621703842267135  0.0000000000000167145686142798818%  99.9999999999999992402468811690963%
##  4                          4194303               131621703842267113  0.0000000031866347855718159616766%  99.9999999999999825256782668892145%
##  5                         46137344               131621703838072810  0.0000000350529909985742827183831%  99.9999999968133477401064509275379%
##  6                      31376865305               131621703791935466  0.0000238386712746109250652074197%  99.9999999617603567415321682091548%
##  7                     230127770466               131621672415070161  0.0001748402913411458333333333333%  99.9999761230890821306071030017350%
##  8                   17560804984785               131621442287299695  0.0133418763563716844816443832226%  99.9998012827977409847737696684017%
##  9                   96756977106944               131603881482314910  0.0735114151256510555771399286914%  99.9864594064413693002921252851791%
## 10                 2366363477200743               131507124505207966  1.7978520320908066200837426953230%  99.9129479913157182447149853564876%
## 11                10393660457224462               129140761028007223  7.8966159484457217592048499966730%  98.1150959592249116246312426611646%
## 12               118747100570782761               118747100570782761 90.2184800107791898654263926644916%  90.2184800107791898654263926644916%
# 23d6 [pattern: 789730223053602816] [mean: 11.899168]
##  2                                1               789730223053602816  0.0000000000000001266255198051506% 100.0000000000000000000000000000000%
##  3                               23               789730223053602815  0.0000000000000029123869555184643%  99.9999999999999998733744801948494%
##  4                          8388607               789730223053602792  0.0000000010622117218161251257095%  99.9999999999999969609875246763851%
##  5                         96468992               789730223045214185  0.0000000122154362570789167048911%  99.9999999989377852391713995506756%
##  6                      94134790219               789730222948745193  0.0000119198667432296833550691399%  99.9999999867223489820924828457846%
##  7                     721764371007               789730128813954974  0.0000913937886555989583333333333%  99.9999880668556057524091277766446%
##  8                   70274600998814               789729407049583967  0.0088985578805743796882169236054%  99.9998966730669501534507944433113%
##  9                  404620182552576               789659132448585153  0.0512352409393748715720748370094%  99.9909981151863757737625775197059%
## 10                11849838446529454               789254512266032577  1.5004919528988506318559398010644%  99.9397628742470009021905026826966%
## 11                54431652914337807               777404673819503123  6.8924363441315664360154581098494%  98.4392709213481502703345628816322%
## 12               722973020905165316               722973020905165316 91.5468345772165838343191047717828%  91.5468345772165838343191047717828%
# 24d6 [pattern: 4738381338321616896] [mean: 11.913629]
##  2                                1              4738381338321616896  0.0000000000000000211042533008584% 100.0000000000000000000000000000000%
##  3                               24              4738381338321616895  0.0000000000000005065020792206025%  99.9999999999999999788957466991416%
##  4                         16777215              4738381338321616871  0.0000000003540705950429616760949%  99.9999999999999994723936674785391%
##  5                        201326592              4738381338304839656  0.0000000042488473937665797234404%  99.9999999996459288773507058024442%
##  6                     282412759265              4738381338103513064  0.0000059601104069229152850230466%  99.9999999953970814835841260790038%
##  7                    2259436291848              4738381055690753799  0.0000476837158203125000000000000%  99.9999940352866745606688410559571%
##  8                  281192547174151              4738378796254461951  0.0059343587418768679022024074440%  99.9999463515708542481688410559571%
##  9                 1688849658937344              4738097603707287800  0.0356419109892820870341100448382%  99.9940119928289773802666386485132%
## 10                59320910362388121              4736408754048350456  1.2519235183253569415452563523430%  99.9583700818396952932325286036750%
## 11               284413445061611064              4677087843685962335  6.0023333867500249232570925375908%  98.7064465635143383516872722513320%
## 12              4392674398624351271              4392674398624351271 92.7041131767643134284301797137411%  92.7041131767643134284301797137411%
# 25d6 [pattern: 28430288029929701376] [mean: 11.926047]
##  2                                1             28430288029929701376  0.0000000000000000035173755501431% 100.0000000000000000000000000000000%
##  3                               25             28430288029929701375  0.0000000000000000879343887535768%  99.9999999999999999964826244498569%
##  4                         33554431             28430288029929701350  0.0000000001180235351983627755080%  99.9999999999999999085482356962801%
##  5                        419430400             28430288029896146919  0.0000000014752942339467290706390%  99.9999999998819763733498729207721%
##  6                     847255055011             28430288029476716519  0.0000029801142152308155116743489%  99.9999999984066821394031438501330%
##  7                    7060738412025             28430287182221661508  0.0000248352686564127604166666667%  99.9999970182924669085876321757842%
##  8                 1125052618233156             28430280121483249483  0.0039572325719977515122156651208%  99.9999721830238104958272155091175%
##  9                 7036873998336000             28429155068865016327  0.0247513285511845721648610462211%  99.9960149504518127443149998439967%
## 10               296890263231698476             28422118194866680327  1.0442745529667171178550938982936%  99.9712636219006281721501387977756%
## 11              1483079244966999225             28125227931634981851  5.2165466751715718918552348014293%  98.9269890689339110542950448994820%
## 12             26642148686667982626             26642148686667982626 93.7104423937623391624398100980527%  93.7104423937623391624398100980527%
# 26d6 [pattern: 170581728179578208256] [mean: 11.936708]
##  2                                1            170581728179578208256  0.0000000000000000005862292583572% 100.0000000000000000000000000000000%
##  3                               26            170581728179578208255  0.0000000000000000152419607172866%  99.9999999999999999994137707416428%
##  4                         67108863            170581728179578208229  0.0000000000393411789856835168599%  99.9999999999999999841718100243562%
##  5                        872415232            170581728179511099366  0.0000000005114353344348660778215%  99.9999999999606588051861265074963%
##  6                    2541798719465            170581728178638684134  0.0000014900767782051937122247830%  99.9999999994492234707512604296748%
##  7                   22029503845518            170581725636839964669  0.0000129143397013346354166666667%  99.9999985093724452655575482048918%
##  8                 4501057761542141            170581703607336119151  0.0026386517533716726443172285118%  99.9999855950327439309221315382252%
##  9                29273396705492992            170577202549574577010  0.0171609216402566378025030698682%  99.9973469432793722582778143097134%
## 10              1485590490253549611            170547929152869084018  0.8708966113238160423738178739165%  99.9801860216391156204753112398452%
## 11              7719330423222873026            169062338662615534407  4.5252973490199519660005457814945%  99.1092894103152995781014933659287%
## 12            161343008239392661381            161343008239392661381 94.5839920612953476121009475844343%  94.5839920612953476121009475844343%
# 27d6 [pattern: 1023490369077469249536] [mean: 11.945858]
##  2                                1           1023490369077469249536  0.0000000000000000000977048763929% 100.0000000000000000000000000000000%
##  3                               27           1023490369077469249535  0.0000000000000000026380316626073%  99.9999999999999999999022951236071%
##  4                        134217727           1023490369077469249508  0.0000000000131137264262660486795%  99.9999999999999999972642634609998%
##  5                       1811939328           1023490369077335031781  0.0000000001770353080736074884767%  99.9999999999868862708379974123203%
##  6                    7625463267259           1023490369075523092453  0.0000007450449459658588415749277%  99.9999999998098509627643899238437%
##  7                   68630377364883           1023490361450059825194  0.0000067055225372314453125000000%  99.9999992547649049969055483489160%
##  8                18006772911996970           1023490292819682460311  0.0017593495216010200804244679250%  99.9999925492423677654602358489160%
##  9               121597188127064064           1023472286046770463341  0.0118806382356745188599557676162%  99.9982331997207667453798113809910%
## 10              7432497568036981258           1023350688858643399277  0.7261912561753090948377001081190%  99.9863525614850922265198556133749%
## 11             40111538033449668483           1015918191290606418019  3.9190928654858281965415554326242%  99.2601613053097831316821555052558%
## 12            975806653257156749536            975806653257156749536 95.3410684398239549351406000726316%  95.3410684398239549351406000726316%
# 28d6 [pattern: 6140942214464815497216] [mean: 11.953708]
##  2                                1           6140942214464815497216  0.0000000000000000000162841460655% 100.0000000000000000000000000000000%
##  3                               28           6140942214464815497215  0.0000000000000000004559560898334%  99.9999999999999999999837158539345%
##  4                        268435455           6140942214464815497187  0.0000000000043712421583728289586%  99.9999999999999999995277597641012%
##  5                       3758096384           6140942214464547061732  0.0000000000611973904451976503376%  99.9999999999956287573693869351425%
##  6                   22876524019505           6140942214460788965348  0.0000003725246586040167492749759%  99.9999999999344313669241892848049%
##  7                  213516729579636           6140942191584264945843  0.0000034769376118977864583333333%  99.9999996274097727629074400098290%
##  8                72034717245472947           6140941978067535366207  0.0011730238574106300868167471882%  99.9999961504721608651209816764957%
##  9               504403154507399168           6140869943350289893260  0.0082137746438859466940559588130%  99.9988231266147502350341649293075%
## 10             37180631873851633053           6140365540195782494092  0.6054548402405368266329302785212%  99.9906093519708642883401089704945%
## 11            208111853555601691948           6103184908321930861039  3.3889238212566161893207255045555%  99.3851545117303274617071786919733%
## 12           5895073054766329169091           5895073054766329169091 95.9962306904737112723864531874178%  95.9962306904737112723864531874178%
# 29d6 [pattern: 36845653286788892983296] [mean: 11.960440]
##  2                                1          36845653286788892983296  0.0000000000000000000027140243442% 100.0000000000000000000000000000000%
##  3                               29          36845653286788892983295  0.0000000000000000000787067059831%  99.9999999999999999999972859756558%
##  4                        536870911          36845653286788892983266  0.0000000000014570807221716339971%  99.9999999999999999999185792696726%
##  5                       7784628224          36845653286788356112355  0.0000000000211276705108420459499%  99.9999999999985429191964076356755%
##  6                   68629840493971          36845653286780571484131  0.0000001862630578423708174666586%  99.9999999999774152486855655897256%
##  7                  663426981193869          36845653218150730990160  0.0000018005569775899251302083333%  99.9999998137143574063147481230670%
##  8               288161745774346832          36845652554723749796291  0.0007820779931120613150428936979%  99.9999980131573798163896179147336%
##  9              2089670219315281920          36845364392977975449459  0.0056714158466679670376902079874%  99.9992159351642677550745750210358%
## 10            185975621119962797512          36843274722758660167539  0.5047423631558864265467234827157%  99.9935445193175997880368848130483%
## 11           1078244516326855167981          36657299101638697370027  2.9263818663610521680270449572971%  99.4888021561617133614901613303326%
## 12          35579054585311842202046          35579054585311842202046 96.5624202898006611934631163730355%  96.5624202898006611934631163730355%
# 30d6 [pattern: 221073919720733357899776] [mean: 11.966210]
##  2                                1         221073919720733357899776  0.0000000000000000000004523373907% 100.0000000000000000000000000000000%
##  3                               30         221073919720733357899775  0.0000000000000000000135701217212%  99.9999999999999999999995476626093%
##  4                       1073741823         221073919720733357899745  0.0000000000004856935745095487231%  99.9999999999999999999859775408881%
##  5                      16106127360         221073919720732284157922  0.0000000000072854036244282917069%  99.9999999999995143064114679921650%
##  6                  205890058352825         221073919720716178030562  0.0000000931317717679728896763862%  99.9999999999922289027870397004581%
##  7                 2058911320946490         221073919514826119677737  0.0000009313225746154785156250000%  99.9999999068604571348141500240719%
##  8              1152715613474752297         221073917455914798731247  0.0005214163728271947648801322328%  99.9999989755378825193356343990719%
##  9              8646911268445224960         221072764740301323978950  0.0039113212808495188228353316982%  99.9994775591650553245707542668391%
## 10            930167594199550722159         221064117829032878753990  0.4207495824810832289962712383211%  99.9955662378842058057479189351409%
## 11           5579288536408319741430         220133950234833328031831  2.5237208185643200823592684552453%  99.5748166554031225767516476968199%
## 12         214554661698425008290401         214554661698425008290401 97.0510958368388024943923792415746%  97.0510958368388024943923792415746%
# 31d6 [pattern: 1326443518324400147398656] [mean: 11.971152]
##  2                                1        1326443518324400147398656  0.0000000000000000000000753895651% 100.0000000000000000000000000000000%
##  3                               31        1326443518324400147398655  0.0000000000000000000023370765187%  99.9999999999999999999999246104349%
##  4                       2147483647        1326443518324400147398624  0.0000000000001618978582452391395%  99.9999999999999999999975875339162%
##  5                      33285996544        1326443518324397999914977  0.0000000000025094168039697449213%  99.9999999999998381021393422947767%
##  6                  617671248800299        1326443518324364713918433  0.0000000465659668329156051525454%  99.9999999999973286853353725498555%
##  7                 6382625094934119        1326443517706693465118134  0.0000004811833302179972330729167%  99.9999999534313618524197673973101%
##  8              4611068345031103926        1326443511324068370184015  0.0003476264372610401079383532007%  99.9999994722480316344225343243934%
##  9             35740566609526259712        1326438900255723339080089  0.0026944657737613075485896400911%  99.9996518458107705943145959711927%
## 10           4651994804433870256102        1326403159689113812820377  0.3507118652372320951194729492599%  99.9969573800370092867660063311016%
## 11          28835259246437021728119        1321751164884679942564275  2.1738776546522321964530654604921%  99.6462455147997771916465333818417%
## 12        1292915905638242920836156        1292915905638242920836156 97.4723678601475449951934679213496%  97.4723678601475449951934679213496%
# 32d6 [pattern: 7958661109946400884391936] [mean: 11.975384]
##  2                                1        7958661109946400884391936  0.0000000000000000000000125649275% 100.0000000000000000000000000000000%
##  3                               32        7958661109946400884391935  0.0000000000000000000004020776806%  99.9999999999999999999999874350725%
##  4                       4294967295        7958661109946400884391903  0.0000000000000539659527609779740%  99.9999999999999999999995853573919%
##  5                      68719476736        7958661109946396589424608  0.0000000000008634552443766864245%  99.9999999999999460340468243794178%
##  6                 1853015893884545        7958661109946327869947872  0.0000000232830103994341893477235%  99.9999999999990825788024476929933%
##  7                19765548681086304        7958661108093311976063327  0.0000002483526865641276041666667%  99.9999999767160721793682583452699%
##  8             18444891053520699743        7958661088327763294977023  0.0002317587191954818687691723406%  99.9999997283633856152406541786032%
##  9            147573952520956936192        7958642643436709774277280  0.0018542560172153228046964387453%  99.9997679696441901333718850062626%
## 10          23264597855764572252705        7958495069484188817341088  0.2923179858316803252836843869753%  99.9979137136269748105671885675173%
## 11         148864037985886886087072        7935230471628424245088383  1.8704658475763323366224321182749%  99.7055957277952944852835041805420%
## 12        7786366433642537359001311        7786366433642537359001311 97.8351298802189621486610720622670%  97.8351298802189621486610720622670%
# 33d6 [pattern: 47751966659678405306351616] [mean: 11.979005]
##  2                                1       47751966659678405306351616  0.0000000000000000000000020941546% 100.0000000000000000000000000000000%
##  3                               33       47751966659678405306351615  0.0000000000000000000000691071014%  99.9999999999999999999999979058454%
##  4                       8589934591       47751966659678405306351582  0.0000000000000179886509224201459%  99.9999999999999999999999287987441%
##  5                     141733920768       47751966659678396716416991  0.0000000000002968127402544859584%  99.9999999999999820113490063785981%
##  6                 5559051976620931       47751966659678254982496223  0.0000000116415141940425569310120%  99.9999999999996851986087518926397%
##  7                61149666232110753       47751966654119203005875292  0.0000001280568540096282958984375%  99.9999999883581710045661949616277%
##  8             73781417234271650908       47751966592969536773764539  0.0001545096933077154772055413503%  99.9999998603013169949378990631902%
##  9            608742554290681282560       47751892811552302502113631  0.0012748010121323471684832875958%  99.9998453506080092794606935218399%
## 10         116341473700973744135908       47751284068998011820831071  0.2436370307638283727571335863719%  99.9985705495958769322922102342441%
## 11         767732381503337360187297       47634942595297038076695163  1.6077502880140178917620870450311%  99.7549335188320485595350766478722%
## 12       46867210213793700716507866       46867210213793700716507866 98.1471832308180306677729896028412%  98.1471832308180306677729896028412%
# 34d6 [pattern: 286511799958070431838109696] [mean: 11.982102]
##  2                                1      286511799958070431838109696  0.0000000000000000000000003490258% 100.0000000000000000000000000000000%
##  3                               34      286511799958070431838109695  0.0000000000000000000000118668760%  99.9999999999999999999999996509742%
##  4                      17179869183      286511799958070431838109661  0.0000000000000059962169744890744%  99.9999999999999999999999877840982%
##  5                     292057776128      286511799958070414658240478  0.0000000000001019356885722477029%  99.9999999999999940037830132950238%
##  6                16677164519797385      286511799958070122600464350  0.0000000058207600951297658845561%  99.9999999999998920680944410473209%
##  7               189008059262887782      286511799941392958080666965  0.0000000659686823685963948567708%  99.9999999941791319729646751627649%
##  8            295131227997653159253      286511799752384898817779183  0.0001030084024605074337514729772%  99.9999999282104496043682803059940%
##  9           2508757193732441243648      286511504621156901164619930  0.0008756208973241539457122836273%  99.9998969198079890969345288330168%
## 10         581781272221435456551987      286508995863963168723376282  0.2030566532710262664199223961977%  99.9990212989106649429888165493895%
## 11        3955612184921759192386474      285927214591741733266824295  1.3806105666505335001841004139198%  99.7959646456396386765688941531919%
## 12      281971602406819974074437821      281971602406819974074437821 98.4153540789891051763847937392720%  98.4153540789891051763847937392720%
# 35d6 [pattern: 1719070799748422591028658176] [mean: 11.984750]
##  2                                1     1719070799748422591028658176  0.0000000000000000000000000581710% 100.0000000000000000000000000000000%
##  3                               35     1719070799748422591028658175  0.0000000000000000000000020359836%  99.9999999999999999999999999418290%
##  4                      34359738367     1719070799748422591028658140  0.0000000000000019987389915545291%  99.9999999999999999999999979058454%
##  5                     601295421440     1719070799748422556668919773  0.0000000000000349779323532222510%  99.9999999999999980012610063513163%
##  6                50031510739261339     1719070799748421955373498333  0.0000000029103810469343787486281%  99.9999999999999630233286531290653%
##  7               583701359488329915     1719070799698390444634236994  0.0000000339544688661893208821615%  99.9999999970895819763942743804373%
##  8           1180541589172312303682     1719070799114689085145907079  0.0000686732384346868469636443612%  99.9999999631351131102049534982758%
##  9          10330176680676053483520     1719069618573099912833603397  0.0006009163021201816205871423874%  99.9999312898966784233579898539146%
## 10        2909201870351293461694786     1719059288396419236780119877  0.1692310677824927627876941723972%  99.9993303735945582417374027115272%
## 11       20362351143032315180391915     1716150086526067943318425091  1.1844975288983003709285173089830%  99.8300993058120654789497085391300%
## 12     1695787735383035628138033176     1695787735383035628138033176 98.6456017769137651080211912301470%  98.6456017769137651080211912301470%
# 36d6 [pattern: 10314424798490535546171949056] [mean: 11.987011]
##  2                                1    10314424798490535546171949056  0.0000000000000000000000000096952% 100.0000000000000000000000000000000%
##  3                               36    10314424798490535546171949055  0.0000000000000000000000003490258%  99.9999999999999999999999999903048%
##  4                      68719476735    10314424798490535546171949019  0.0000000000000006662463305278715%  99.9999999999999999999999996412791%
##  5                    1236950581248    10314424798490535477452472284  0.0000000000000119924339496762003%  99.9999999999999993337536691134075%
##  6               150094566577522385    10314424798490534240501891036  0.0000000014551908565903546430974%  99.9999999999999873413197194372072%
##  7              1801135623563989452    10314424798340439673924368651  0.0000000174622982740402221679688%  99.9999999985447964847293647941098%
##  8           4722216388234348214539    10314424796539304050360379199  0.0000457826440202988435384980921%  99.9999999810824982106891426261411%
##  9          42501298344589856342016    10314420074322915816012164660  0.0004120568928944026880665738374%  99.9999541984384779118456041280489%
## 10       14547191060748358597437477    10314377573024571226155822644  0.1410373466766393721940130511090%  99.9995421415455835091575375542115%
## 11      104731288345895506200889236    10299830381963822867558385167  1.0153866104217697738620903273520%  99.8585047948689441369635245031026%
## 12    10195099093617927361357495931    10195099093617927361357495931 98.8431181844471743631014341757506%  98.8431181844471743631014341757506%
# 37d6 [pattern: 61886548790943213277031694336] [mean: 11.988942]
##  2                                1    61886548790943213277031694336  0.0000000000000000000000000016159% 100.0000000000000000000000000000000%
##  3                               37    61886548790943213277031694335  0.0000000000000000000000000597868%  99.9999999999999999999999999983841%
##  4                     137438953471    61886548790943213277031694298  0.0000000000000002220821101775730%  99.9999999999999999999999999385973%
##  5                    2542620639232    61886548790943213139592740827  0.0000000000000041085190383149946%  99.9999999999999997779178897610243%
##  6               450283768452043891    61886548790943210596972101595  0.0000000007275955393362324111431%  99.9999999999999956693988514460297%
##  7              5553501505988967477    61886548790492926828520057704  0.0000000089736810574928919474284%  99.9999999992724001300626190348866%
##  8          18889015647572689857384    61886548784939425322531090227  0.0000305220052121197018067017358%  99.9999999902987190725697270874582%
##  9         174727559863634252267520    61886529895923777749841232843  0.0002823352784687918423431896609%  99.9999694682935069528679203857224%
## 10       72740681122401274463380864    61886355168363914115588965323  0.1175387584919689513156747397667%  99.9996871330150381610255771960615%
## 11      538246135889707339972796373    61813614487241512841125584459  0.8697304121901154851111171843126%  99.8821483745230692097099024562948%
## 12    61275368351351805501152788086    61275368351351805501152788086 99.0124179623329537245987852719822%  99.0124179623329537245987852719822%
# 38d6 [pattern: 371319292745659279662190166016] [mean: 11.990590]
##  2                                1   371319292745659279662190166016  0.0000000000000000000000000002693% 100.0000000000000000000000000000000%
##  3                               38   371319292745659279662190166015  0.0000000000000000000000000102338%  99.9999999999999999999999999997307%
##  4                     274877906943   371319292745659279662190165977  0.0000000000000000740273700594603%  99.9999999999999999999999999894969%
##  5                    5222680231936   371319292745659279387312259034  0.0000000000000014065200311348630%  99.9999999999999999259726299300366%
##  6              1350851442795085145   371319292745659274164632027098  0.0000000003637978066818012354364%  99.9999999999999985194525987951736%
##  7             17110788423857899794   371319292744308422721836941953  0.0000000046081064889828364054362%  99.9999999996362007127707975597372%
##  8          75556512874196650427009   371319292727197634297979042159  0.0000203481247407067042615958366%  99.9999999950280942237879611543010%
##  9         717799705390963392249856   371319217170684760101328615150  0.0001933106411151739075814268831%  99.9999796469033535170836995584644%
## 10      363722305734656956984696695   371318499370979369137936365294  0.0979540554020698318776607258688%  99.9997863362622383431761181315813%
## 11     2764146093684305657189236958   370954777065244712180951668599  0.7444121939491167224542556855689%  99.9018322808601685112984574057125%
## 12   368190630971560406523762431641   368190630971560406523762431641 99.1574200869110517888442017201436%  99.1574200869110517888442017201436%
# 39d6 [pattern: 2227915756473955677973140996096] [mean: 11.991996]
##  2                                1  2227915756473955677973140996096  0.0000000000000000000000000000449% 100.0000000000000000000000000000000%
##  3                               39  2227915756473955677973140996095  0.0000000000000000000000000017505%  99.9999999999999999999999999999551%
##  4                     549755813887  2227915756473955677973140996056  0.0000000000000000246757900198650%  99.9999999999999999999999999982046%
##  5                   10720238370816  2227915756473955677423385182169  0.0000000000000004811779053882426%  99.9999999999999999753242099783396%
##  6              4052554603263162379  2227915756473955666703146811353  0.0000000001818989156787956276731%  99.9999999999999994941463045900970%
##  7             52683216989246691471  2227915756469903112099883648974  0.0000000023646862246096134185791%  99.9999999998181005784675089624239%
##  8         302227402348504274700238  2227915756417219895110636957503  0.0000135654771267845877029514908%  99.9999999974534143538578955438448%
##  9        2946756685299938374975488  2227915454189817546606362257265  0.0001322651755003370094084697942%  99.9999864319762875692701925923540%
## 10     1818687119407735829289710110  2227912507433132246667987281777  0.0816317723918838073430396743811%  99.9998541668007872322607841225598%
## 11    14185170590972369852861263071  2226093820313724510838697571667  0.6367013900661460855932313534826%  99.9182223944089034249177444481787%
## 12  2211908649722752140985836308596  2211908649722752140985836308596 99.2815210043427573393245130946961%  99.2815210043427573393245130946961%
# 40d6 [pattern: 13367494538843734067838845976576] [mean: 11.993194]
##  2                                1 13367494538843734067838845976576  0.0000000000000000000000000000075% 100.0000000000000000000000000000000%
##  3                               40 13367494538843734067838845976575  0.0000000000000000000000000002992%  99.9999999999999999999999999999925%
##  4                    1099511627775 13367494538843734067838845976535  0.0000000000000000082252633399625%  99.9999999999999999999999999996933%
##  5                   21990232555520 13367494538843734066739334348760  0.0000000000000001645052667993992%  99.9999999999999999917747366597308%
##  6             12157664359545301025 13367494538843734044749101793240  0.0000000000909494619520294838215%  99.9999999999999998272694698603316%
##  7            162102206120759050680 13367494538831576380389556492215  0.0000000012126596023639043172201%  99.9999999999090503653174403765101%
##  8        1208913661949170117777335 13367494538669474174268797441535  0.0000090436817343464508995764588%  99.9999999986963907629535360592900%
##  9       12089258196124301514506240 13367493329755812225098679664200  0.0000904377268380017766572060961%  99.9999909550146564165026364828312%
## 10     9093737929807461629216633769 13367481240497616100797165157960  0.0680287386943197117536880270509%  99.9999005172878184147259792767352%
## 11    72747486883638112741456063240 13358387502567808639167948524191  0.5442118317104668796843539530683%  99.9318717785934987029722912496843%
## 12 13285640015684170526426492460951 13285640015684170526426492460951 99.3876599468830318232879372966160%  99.3876599468830318232879372966160%

# [目標値]
## ダイス 出現率 成功率 失敗率
# [target: 2]
##  2d6  2.7777777777777777777777777777778% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  3d6  0.4629629629629629629629629629630% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  4d6  0.0771604938271604938271604938272% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  5d6  0.0128600823045267489711934156379% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  6d6  0.0021433470507544581618655692730% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  7d6  0.0003572245084590763603109282122% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  8d6  0.0000595374180765127267184880354% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
##  9d6  0.0000099229030127521211197480059% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 10d6  0.0000016538171687920201866246676% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 11d6  0.0000002756361947986700311041113% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 12d6  0.0000000459393657997783385173519% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 13d6  0.0000000076565609666297230862253% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 14d6  0.0000000012760934944382871810376% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 15d6  0.0000000002126822490730478635063% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 16d6  0.0000000000354470415121746439177% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 17d6  0.0000000000059078402520291073196% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 18d6  0.0000000000009846400420048512199% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 19d6  0.0000000000001641066736674752033% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 20d6  0.0000000000000273511122779125339% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 21d6  0.0000000000000045585187129854223% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 22d6  0.0000000000000007597531188309037% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 23d6  0.0000000000000001266255198051506% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 24d6  0.0000000000000000211042533008584% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 25d6  0.0000000000000000035173755501431% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 26d6  0.0000000000000000005862292583572% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 27d6  0.0000000000000000000977048763929% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 28d6  0.0000000000000000000162841460655% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 29d6  0.0000000000000000000027140243442% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 30d6  0.0000000000000000000004523373907% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 31d6  0.0000000000000000000000753895651% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 32d6  0.0000000000000000000000125649275% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 33d6  0.0000000000000000000000020941546% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 34d6  0.0000000000000000000000003490258% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 35d6  0.0000000000000000000000000581710% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 36d6  0.0000000000000000000000000096952% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 37d6  0.0000000000000000000000000016159% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 38d6  0.0000000000000000000000000002693% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 39d6  0.0000000000000000000000000000449% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
## 40d6  0.0000000000000000000000000000075% 100.0000000000000000000000000000000%  0.0000000000000000000000000000000%
# [target: 3]
##  2d6  5.5555555555555555555555555555556%  97.2222222222222222222222222222222%  2.7777777777777777777777777777778%
##  3d6  1.3888888888888888888888888888889%  99.5370370370370370370370370370370%  0.4629629629629629629629629629630%
##  4d6  0.3086419753086419753086419753086%  99.9228395061728395061728395061728%  0.0771604938271604938271604938272%
##  5d6  0.0643004115226337448559670781893%  99.9871399176954732510288065843621%  0.0128600823045267489711934156379%
##  6d6  0.0128600823045267489711934156379%  99.9978566529492455418381344307270%  0.0021433470507544581618655692730%
##  7d6  0.0025005715592135345221764974851%  99.9996427754915409236396890717878%  0.0003572245084590763603109282122%
##  8d6  0.0004762993446121018137479042829%  99.9999404625819234872732815119646%  0.0000595374180765127267184880354%
##  9d6  0.0000893061271147690900777320530%  99.9999900770969872478788802519941%  0.0000099229030127521211197480059%
## 10d6  0.0000165381716879202018662466765%  99.9999983461828312079798133753324%  0.0000016538171687920201866246676%
## 11d6  0.0000030319981427853703421452240%  99.9999997243638052013299688958887%  0.0000002756361947986700311041113%
## 12d6  0.0000005512723895973400622082225%  99.9999999540606342002216614826481%  0.0000000459393657997783385173519%
## 13d6  0.0000000995352925661864001209291%  99.9999999923434390333702769137747%  0.0000000076565609666297230862253%
## 14d6  0.0000000178653089221360205345257%  99.9999999987239065055617128189624%  0.0000000012760934944382871810376%
## 15d6  0.0000000031902337360957179525939%  99.9999999997873177509269521364937%  0.0000000002126822490730478635063%
## 16d6  0.0000000005671526641947943026834%  99.9999999999645529584878253560823%  0.0000000000354470415121746439177%
## 17d6  0.0000000001004332842844948244335%  99.9999999999940921597479708926804%  0.0000000000059078402520291073196%
## 18d6  0.0000000000177235207560873219589%  99.9999999999990153599579951487801%  0.0000000000009846400420048512199%
## 19d6  0.0000000000031180267996820288631%  99.9999999999998358933263325247967%  0.0000000000001641066736674752033%
## 20d6  0.0000000000005470222455582506777%  99.9999999999999726488877220874661%  0.0000000000000273511122779125339%
## 21d6  0.0000000000000957288929726938686%  99.9999999999999954414812870145777%  0.0000000000000045585187129854223%
## 22d6  0.0000000000000167145686142798818%  99.9999999999999992402468811690963%  0.0000000000000007597531188309037%
## 23d6  0.0000000000000029123869555184643%  99.9999999999999998733744801948494%  0.0000000000000001266255198051506%
## 24d6  0.0000000000000005065020792206025%  99.9999999999999999788957466991416%  0.0000000000000000211042533008584%
## 25d6  0.0000000000000000879343887535768%  99.9999999999999999964826244498569%  0.0000000000000000035173755501431%
## 26d6  0.0000000000000000152419607172866%  99.9999999999999999994137707416428%  0.0000000000000000005862292583572%
## 27d6  0.0000000000000000026380316626073%  99.9999999999999999999022951236071%  0.0000000000000000000977048763929%
## 28d6  0.0000000000000000004559560898334%  99.9999999999999999999837158539345%  0.0000000000000000000162841460655%
## 29d6  0.0000000000000000000787067059831%  99.9999999999999999999972859756558%  0.0000000000000000000027140243442%
## 30d6  0.0000000000000000000135701217212%  99.9999999999999999999995476626093%  0.0000000000000000000004523373907%
## 31d6  0.0000000000000000000023370765187%  99.9999999999999999999999246104349%  0.0000000000000000000000753895651%
## 32d6  0.0000000000000000000004020776806%  99.9999999999999999999999874350725%  0.0000000000000000000000125649275%
## 33d6  0.0000000000000000000000691071014%  99.9999999999999999999999979058454%  0.0000000000000000000000020941546%
## 34d6  0.0000000000000000000000118668760%  99.9999999999999999999999996509742%  0.0000000000000000000000003490258%
## 35d6  0.0000000000000000000000020359836%  99.9999999999999999999999999418290%  0.0000000000000000000000000581710%
## 36d6  0.0000000000000000000000003490258%  99.9999999999999999999999999903048%  0.0000000000000000000000000096952%
## 37d6  0.0000000000000000000000000597868%  99.9999999999999999999999999983841%  0.0000000000000000000000000016159%
## 38d6  0.0000000000000000000000000102338%  99.9999999999999999999999999997307%  0.0000000000000000000000000002693%
## 39d6  0.0000000000000000000000000017505%  99.9999999999999999999999999999551%  0.0000000000000000000000000000449%
## 40d6  0.0000000000000000000000000002992%  99.9999999999999999999999999999925%  0.0000000000000000000000000000075%
# [target: 4]
##  2d6  8.3333333333333333333333333333333%  91.6666666666666666666666666666667%  8.3333333333333333333333333333333%
##  3d6  3.2407407407407407407407407407407%  98.1481481481481481481481481481481%  1.8518518518518518518518518518519%
##  4d6  1.1574074074074074074074074074074%  99.6141975308641975308641975308642%  0.3858024691358024691358024691358%
##  5d6  0.3986625514403292181069958847737%  99.9228395061728395061728395061728%  0.0771604938271604938271604938272%
##  6d6  0.1350308641975308641975308641975%  99.9849965706447187928669410150892%  0.0150034293552812071330589849108%
##  7d6  0.0453675125743026977594878829447%  99.9971422039323273891175125743027%  0.0028577960676726108824874256973%
##  8d6  0.0151820416095107453132144490169%  99.9994641632373113854595336076818%  0.0005358367626886145404663923182%
##  9d6  0.0050706034395163338921912310115%  99.9999007709698724787888025199411%  0.0000992290301275212111974800589%
## 10d6  0.0016918549636742366509170350048%  99.9999818080111432877779471286559%  0.0000181919888567122220528713441%
## 11d6  0.0005642272907528775536701157796%  99.9999966923656624159596267506647%  0.0000033076343375840403732493353%
## 12d6  0.0001881217029500922962285559451%  99.9999994027882446028815992744256%  0.0000005972117553971184007255744%
## 13d6  0.0000627148908776640617992715403%  99.9999998928081464671838767928456%  0.0000001071918535328161232071544%
## 14d6  0.0000209062397193824588869382177%  99.9999999808585975834256922844367%  0.0000000191414024165743077155633%
## 15d6  0.0000069689592553765593435095788%  99.9999999965970840148312341838999%  0.0000000034029159851687658161001%
## 16d6  0.0000023230218655003652891471106%  99.9999999993974002942930310533989%  0.0000000006025997057069689466011%
## 17d6  0.0000007743465296737071254896898%  99.9999999998936588754634760682469%  0.0000000001063411245365239317531%
## 18d6  0.0000002581164945312777133477832%  99.9999999999812918392019078268212%  0.0000000000187081607980921731788%
## 19d6  0.0000000860389956170995719244644%  99.9999999999967178665266504959335%  0.0000000000032821334733495040665%
## 20d6  0.0000000286796925568121352206887%  99.9999999999994256266421638367884%  0.0000000000005743733578361632116%
## 21d6  0.0000000095599020774560913923185%  99.9999999999998997125883143207091%  0.0000000000001002874116856792909%
## 22d6  0.0000000031866347855718159616766%  99.9999999999999825256782668892145%  0.0000000000000174743217331107855%
## 23d6  0.0000000010622117218161251257095%  99.9999999999999969609875246763851%  0.0000000000000030390124753236149%
## 24d6  0.0000000003540705950429616760949%  99.9999999999999994723936674785391%  0.0000000000000005276063325214609%
## 25d6  0.0000000001180235351983627755080%  99.9999999999999999085482356962801%  0.0000000000000000914517643037199%
## 26d6  0.0000000000393411789856835168599%  99.9999999999999999841718100243562%  0.0000000000000000158281899756438%
## 27d6  0.0000000000131137264262660486795%  99.9999999999999999972642634609998%  0.0000000000000000027357365390002%
## 28d6  0.0000000000043712421583728289586%  99.9999999999999999995277597641012%  0.0000000000000000004722402358988%
## 29d6  0.0000000000014570807221716339971%  99.9999999999999999999185792696726%  0.0000000000000000000814207303274%
## 30d6  0.0000000000004856935745095487231%  99.9999999999999999999859775408881%  0.0000000000000000000140224591119%
## 31d6  0.0000000000001618978582452391395%  99.9999999999999999999975875339162%  0.0000000000000000000024124660838%
## 32d6  0.0000000000000539659527609779740%  99.9999999999999999999995853573919%  0.0000000000000000000004146426081%
## 33d6  0.0000000000000179886509224201459%  99.9999999999999999999999287987441%  0.0000000000000000000000712012559%
## 34d6  0.0000000000000059962169744890744%  99.9999999999999999999999877840982%  0.0000000000000000000000122159018%
## 35d6  0.0000000000000019987389915545291%  99.9999999999999999999999979058454%  0.0000000000000000000000020941546%
## 36d6  0.0000000000000006662463305278715%  99.9999999999999999999999996412791%  0.0000000000000000000000003587209%
## 37d6  0.0000000000000002220821101775730%  99.9999999999999999999999999385973%  0.0000000000000000000000000614027%
## 38d6  0.0000000000000000740273700594603%  99.9999999999999999999999999894969%  0.0000000000000000000000000105031%
## 39d6  0.0000000000000000246757900198650%  99.9999999999999999999999999982046%  0.0000000000000000000000000017954%
## 40d6  0.0000000000000000082252633399625%  99.9999999999999999999999999996933%  0.0000000000000000000000000003067%
# [target: 5]
##  2d6 11.1111111111111111111111111111111%  83.3333333333333333333333333333333% 16.6666666666666666666666666666667%
##  3d6  5.5555555555555555555555555555556%  94.9074074074074074074074074074074%  5.0925925925925925925925925925926%
##  4d6  2.4691358024691358024691358024691%  98.4567901234567901234567901234568%  1.5432098765432098765432098765432%
##  5d6  1.0288065843621399176954732510288%  99.5241769547325102880658436213992%  0.4758230452674897119341563786008%
##  6d6  0.4115226337448559670781893004115%  99.8499657064471879286694101508916%  0.1500342935528120713305898491084%
##  7d6  0.1600365797896662094192958390489%  99.9517746913580246913580246913580%  0.0482253086419753086419753086420%
##  8d6  0.0609663161103490321597317482091%  99.9842821216278006401463191586648%  0.0157178783721993598536808413352%
##  9d6  0.0228623685413808870598994055784%  99.9948301675303561448966112889295%  0.0051698324696438551033887110705%
## 10d6  0.0084675439042151433555182983624%  99.9982899530474690511270300936510%  0.0017100469525309488729699063490%
## 11d6  0.0031047660982122192303567093995%  99.9994324650749095384059566348852%  0.0005675349250904615940433651148%
## 12d6  0.0011290058538953524474024397817%  99.9998112810852945105853707184805%  0.0001887189147054894146292815195%
## 13d6  0.0004076965583510994948953254767%  99.9999371779172688031220775213053%  0.0000628220827311968779224786947%
## 14d6  0.0001463526106901382802188347865%  99.9999790746188782009668053462191%  0.0000209253811217990331946537809%
## 15d6  0.0000522687895321922429352981380%  99.9999930276378286382718906743210%  0.0000069723621713617281093256790%
## 16d6  0.0000185844585003350197103282269%  99.9999976763755347939277419062883%  0.0000023236244652060722580937117%
## 17d6  0.0000065819957188686528140745803%  99.9999992255471292017563505785570%  0.0000007744528707982436494214430%
## 18d6  0.0000023230573125418774637910284%  99.9999997418647973079241944790380%  0.0000002581352026920758055209620%
## 19d6  0.0000008173720173758457742968433%  99.9999999139577222494270785714692%  0.0000000860422777505729214285308%
## 20d6  0.0000002867971990792441313322257%  99.9999999713197330698300286160997%  0.0000000286802669301699713839003%
## 21d6  0.0000001003790196777354459662790%  99.9999999904399976351322229283905%  0.0000000095600023648677770716095%
## 22d6  0.0000000350529909985742827183831%  99.9999999968133477401064509275379%  0.0000000031866522598935490724621%
## 23d6  0.0000000122154362570789167048911%  99.9999999989377852391713995506756%  0.0000000010622147608286004493244%
## 24d6  0.0000000042488473937665797234404%  99.9999999996459288773507058024442%  0.0000000003540711226492941975558%
## 25d6  0.0000000014752942339467290706390%  99.9999999998819763733498729207721%  0.0000000001180236266501270792279%
## 26d6  0.0000000005114353344348660778215%  99.9999999999606588051861265074963%  0.0000000000393411948138734925037%
## 27d6  0.0000000001770353080736074884767%  99.9999999999868862708379974123203%  0.0000000000131137291620025876797%
## 28d6  0.0000000000611973904451976503376%  99.9999999999956287573693869351425%  0.0000000000043712426306130648575%
## 29d6  0.0000000000211276705108420459499%  99.9999999999985429191964076356755%  0.0000000000014570808035923643245%
## 30d6  0.0000000000072854036244282917069%  99.9999999999995143064114679921650%  0.0000000000004856935885320078350%
## 31d6  0.0000000000025094168039697449213%  99.9999999999998381021393422947767%  0.0000000000001618978606577052233%
## 32d6  0.0000000000008634552443766864245%  99.9999999999999460340468243794178%  0.0000000000000539659531756205822%
## 33d6  0.0000000000002968127402544859584%  99.9999999999999820113490063785981%  0.0000000000000179886509936214019%
## 34d6  0.0000000000001019356885722477029%  99.9999999999999940037830132950238%  0.0000000000000059962169867049762%
## 35d6  0.0000000000000349779323532222510%  99.9999999999999980012610063513163%  0.0000000000000019987389936486837%
## 36d6  0.0000000000000119924339496762003%  99.9999999999999993337536691134075%  0.0000000000000006662463308865925%
## 37d6  0.0000000000000041085190383149946%  99.9999999999999997779178897610243%  0.0000000000000002220821102389757%
## 38d6  0.0000000000000014065200311348630%  99.9999999999999999259726299300366%  0.0000000000000000740273700699634%
## 39d6  0.0000000000000004811779053882426%  99.9999999999999999753242099783396%  0.0000000000000000246757900216604%
## 40d6  0.0000000000000001645052667993992%  99.9999999999999999917747366597308%  0.0000000000000000082252633402692%
# [target: 6]
##  2d6 13.8888888888888888888888888888889%  72.2222222222222222222222222222222% 27.7777777777777777777777777777778%
##  3d6  8.7962962962962962962962962962963%  89.3518518518518518518518518518519% 10.6481481481481481481481481481481%
##  4d6  5.0154320987654320987654320987654%  95.9876543209876543209876543209877%  4.0123456790123456790123456790123%
##  5d6  2.7134773662551440329218106995885%  98.4953703703703703703703703703704%  1.5046296296296296296296296296296%
##  6d6  1.4253257887517146776406035665295%  99.4384430727023319615912208504801%  0.5615569272976680384087791495199%
##  7d6  0.7355252629172382258802011888432%  99.7917381115683584819387288523091%  0.2082618884316415180612711476909%
##  8d6  0.3753834209724127419600670629477%  99.9233158055174516079865874104557%  0.0766841944825483920134125895443%
##  9d6  0.1902319736574709139866890209826%  99.9719677989889752578367118833511%  0.0280322010110247421632881166489%
## 10d6  0.0959627412191569713288963403275%  99.9898224091432539077715117952887%  0.0101775908567460922284882047113%
## 11d6  0.0482636220730523237762987801092%  99.9963276989766973191755999254856%  0.0036723010233026808244000745144%
## 12d6  0.0242258948576841079254329267031%  99.9986822752313991581379682786989%  0.0013177247686008418620317213011%
## 13d6  0.0121443087025613693084776422344%  99.9995294813589177036271821958286%  0.0004705186410822963728178041714%
## 14d6  0.0060826081091871231028258807448%  99.9998327220081880626865865114325%  0.0001672779918119373134134885675%
## 15d6  0.0030447886405623743676086269149%  99.9999407588482964460289553761830%  0.0000592411517035539710446238170%
## 16d6  0.0015235558489374581225362089716%  99.9999790919170344589080315780614%  0.0000209080829655410919684219386%
## 17d6  0.0007621651006874860408454029905%  99.9999926435514103331035365039767%  0.0000073564485896668964634960233%
## 18d6  0.0003812116090833286802818009968%  99.9999974188074847660467306880096%  0.0000025811925152339532693119904%
## 19d6  0.0001906488241215262267606003323%  99.9999990965857048735813042746258%  0.0000009034142951264186957253742%
## 20d6  0.0000953387519207170755868667774%  99.9999996845225339905858972838740%  0.0000003154774660094141027161260%
## 21d6  0.0000476741559136765251956222591%  99.9999998900609779573967769621115%  0.0000001099390220426032230378885%
## 22d6  0.0000238386712746109250652074197%  99.9999999617603567415321682091548%  0.0000000382396432584678317908452%
## 23d6  0.0000119198667432296833550691399%  99.9999999867223489820924828457846%  0.0000000132776510179075171542154%
## 24d6  0.0000059601104069229152850230466%  99.9999999953970814835841260790038%  0.0000000046029185164158739209962%
## 25d6  0.0000029801142152308155116743489%  99.9999999984066821394031438501330%  0.0000000015933178605968561498670%
## 26d6  0.0000014900767782051937122247830%  99.9999999994492234707512604296748%  0.0000000005507765292487395703252%
## 27d6  0.0000007450449459658588415749277%  99.9999999998098509627643899238437%  0.0000000001901490372356100761563%
## 28d6  0.0000003725246586040167492749759%  99.9999999999344313669241892848049%  0.0000000000655686330758107151951%
## 29d6  0.0000001862630578423708174666586%  99.9999999999774152486855655897256%  0.0000000000225847513144344102744%
## 30d6  0.0000000931317717679728896763862%  99.9999999999922289027870397004581%  0.0000000000077710972129602995419%
## 31d6  0.0000000465659668329156051525454%  99.9999999999973286853353725498555%  0.0000000000026713146646274501445%
## 32d6  0.0000000232830103994341893477235%  99.9999999999990825788024476929933%  0.0000000000009174211975523070067%
## 33d6  0.0000000116415141940425569310120%  99.9999999999996851986087518926397%  0.0000000000003148013912481073603%
## 34d6  0.0000000058207600951297658845561%  99.9999999999998920680944410473209%  0.0000000000001079319055589526791%
## 35d6  0.0000000029103810469343787486281%  99.9999999999999630233286531290653%  0.0000000000000369766713468709347%
## 36d6  0.0000000014551908565903546430974%  99.9999999999999873413197194372072%  0.0000000000000126586802805627928%
## 37d6  0.0000000007275955393362324111431%  99.9999999999999956693988514460297%  0.0000000000000043306011485539703%
## 38d6  0.0000000003637978066818012354364%  99.9999999999999985194525987951736%  0.0000000000000014805474012048264%
## 39d6  0.0000000001818989156787956276731%  99.9999999999999994941463045900970%  0.0000000000000005058536954099030%
## 40d6  0.0000000000909494619520294838215%  99.9999999999999998272694698603316%  0.0000000000000001727305301396684%
# [target: 7]
##  2d6 16.6666666666666666666666666666667%  58.3333333333333333333333333333333% 41.6666666666666666666666666666667%
##  3d6 12.5000000000000000000000000000000%  80.5555555555555555555555555555556% 19.4444444444444444444444444444444%
##  4d6  8.3333333333333333333333333333333%  90.9722222222222222222222222222222%  9.0277777777777777777777777777778%
##  5d6  5.2083333333333333333333333333333%  95.7818930041152263374485596707819%  4.2181069958847736625514403292181%
##  6d6  3.1250000000000000000000000000000%  98.0131172839506172839506172839506%  1.9868827160493827160493827160494%
##  7d6  1.8229166666666666666666666666667%  99.0562128486511202560585276634659%  0.9437871513488797439414723365341%
##  8d6  1.0416666666666666666666666666667%  99.5479323845450388660265203475080%  0.4520676154549611339734796524920%
##  9d6  0.5859375000000000000000000000000%  99.7817358253315043438500228623685%  0.2182641746684956561499771376315%
## 10d6  0.3255208333333333333333333333333%  99.8938596679240969364426154549611%  0.1061403320759030635573845450389%
## 11d6  0.1790364583333333333333333333333%  99.9480640769036449953993011453764%  0.0519359230963550046006988546236%
## 12d6  0.0976562500000000000000000000000%  99.9744563803737150502125353519958%  0.0255436196262849497874646480042%
## 13d6  0.0528971354166666666666666666667%  99.9873851726563563343187045535942%  0.0126148273436436656812954464058%
## 14d6  0.0284830729166666666666666666667%  99.9937501138990009395837606306878%  0.0062498861009990604162393693122%
## 15d6  0.0152587890625000000000000000000%  99.9968959702077340716613467492681%  0.0031040297922659283386532507319%
## 16d6  0.0081380208333333333333333333333%  99.9984555360680970007854953690898%  0.0015444639319029992145046309102%
## 17d6  0.0043233235677083333333333333333%  99.9992304784507228470626911009861%  0.0007695215492771529373088990139%
## 18d6  0.0022888183593750000000000000000%  99.9996162071984014373664488870128%  0.0003837928015985626335511129872%
## 19d6  0.0012079874674479166666666666667%  99.9998084477615833473545436742936%  0.0001915522384166526454563257064%
## 20d6  0.0006357828776041666666666666667%  99.9999043457706132735103104170965%  0.0000956542293867264896895829035%
## 21d6  0.0003337860107421875000000000000%  99.9999522159050642808715813398524%  0.0000477840949357191284186601476%
## 22d6  0.0001748402913411458333333333333%  99.9999761230890821306071030017350%  0.0000238769109178693928969982650%
## 23d6  0.0000913937886555989583333333333%  99.9999880668556057524091277766446%  0.0000119331443942475908722233554%
## 24d6  0.0000476837158203125000000000000%  99.9999940352866745606688410559571%  0.0000059647133254393311589440429%
## 25d6  0.0000248352686564127604166666667%  99.9999970182924669085876321757842%  0.0000029817075330914123678242158%
## 26d6  0.0000129143397013346354166666667%  99.9999985093724452655575482048918%  0.0000014906275547344424517951082%
## 27d6  0.0000067055225372314453125000000%  99.9999992547649049969055483489160%  0.0000007452350950030944516510840%
## 28d6  0.0000034769376118977864583333333%  99.9999996274097727629074400098290%  0.0000003725902272370925599901710%
## 29d6  0.0000018005569775899251302083333%  99.9999998137143574063147481230670%  0.0000001862856425936852518769330%
## 30d6  0.0000009313225746154785156250000%  99.9999999068604571348141500240719%  0.0000000931395428651858499759281%
## 31d6  0.0000004811833302179972330729167%  99.9999999534313618524197673973101%  0.0000000465686381475802326026899%
## 32d6  0.0000002483526865641276041666667%  99.9999999767160721793682583452699%  0.0000000232839278206317416547301%
## 33d6  0.0000001280568540096282958984375%  99.9999999883581710045661949616277%  0.0000000116418289954338050383723%
## 34d6  0.0000000659686823685963948567708%  99.9999999941791319729646751627649%  0.0000000058208680270353248372351%
## 35d6  0.0000000339544688661893208821615%  99.9999999970895819763942743804373%  0.0000000029104180236057256195627%
## 36d6  0.0000000174622982740402221679688%  99.9999999985447964847293647941098%  0.0000000014552035152706352058902%
## 37d6  0.0000000089736810574928919474284%  99.9999999992724001300626190348866%  0.0000000007275998699373809651134%
## 38d6  0.0000000046081064889828364054362%  99.9999999996362007127707975597372%  0.0000000003637992872292024402628%
## 39d6  0.0000000023646862246096134185791%  99.9999999998181005784675089624239%  0.0000000001818994215324910375761%
## 40d6  0.0000000012126596023639043172201%  99.9999999999090503653174403765101%  0.0000000000909496346825596234899%
# [target: 8]
##  2d6 13.8888888888888888888888888888889%  41.6666666666666666666666666666667% 58.3333333333333333333333333333333%
##  3d6 15.7407407407407407407407407407407%  68.0555555555555555555555555555556% 31.9444444444444444444444444444444%
##  4d6 13.1944444444444444444444444444444%  82.6388888888888888888888888888889% 17.3611111111111111111111111111111%
##  5d6  9.9794238683127572016460905349794%  90.5735596707818930041152263374486%  9.4264403292181069958847736625514%
##  6d6  7.2037894375857338820301783264746%  94.8881172839506172839506172839506%  5.1118827160493827160493827160494%
##  7d6  5.0690157750342935528120713305898%  97.2332961819844535893918609967993%  2.7667038180155464106081390032007%
##  8d6  3.5107429317177259564090839811004%  98.5062657178783721993598536808413%  1.4937342821216278006401463191587%
##  9d6  2.4058276812477772697251435248692%  99.1957983253315043438500228623685%  0.8042016746684956561499771376315%
## 10d6  1.6364802034115734390082812579383%  99.5683388345907636031092821216278%  0.4316611654092363968907178783722%
## 11d6  1.1072708373906981207697561911859%  99.7690276185703116620659678120431%  0.2309723814296883379340321879569%
## 12d6  0.7463200491535043400866700160507%  99.8768001303737150502125353519958%  0.1231998696262849497874646480042%
## 13d6  0.5016159778319700587647546952531%  99.9344880372396896676520378869276%  0.0655119627603103323479621130724%
## 14d6  0.3364452055878661611647493429290%  99.9652670409823342729170939640211%  0.0347329590176657270829060359789%
## 15d6  0.2253140650493829861047952990426%  99.9816371811452340716613467492681%  0.0183628188547659283386532507319%
## 16d6  0.1507180045613418172722145317410%  99.9903175152347636674521620357565%  0.0096824847652363325478379642435%
## 17d6  0.1007329831362713700268443985161%  99.9949071548830145137293577676528%  0.0050928451169854862706422323472%
## 18d6  0.0672824787156004154514721600075%  99.9973273888390264373664488870128%  0.0026726111609735626335511129872%
## 19d6  0.0449185641068583473386909591145%  99.9986004602941354306878770076269%  0.0013995397058645693121229923731%
## 20d6  0.0299774985499841021800237413073%  99.9992685628930091068436437504299%  0.0007314371069908931563562495701%
## 21d6  0.0200008936055317915574153007881%  99.9996184298943220933715813398524%  0.0003815701056779066284186601476%
## 22d6  0.0133418763563716844816443832226%  99.9998012827977409847737696684017%  0.0001987172022590152262303315983%
## 23d6  0.0088985578805743796882169236054%  99.9998966730669501534507944433113%  0.0001033269330498465492055566887%
## 24d6  0.0059343587418768679022024074440%  99.9999463515708542481688410559571%  0.0000536484291457518311589440429%
## 25d6  0.0039572325719977515122156651208%  99.9999721830238104958272155091175%  0.0000278169761895041727844908825%
## 26d6  0.0026386517533716726443172285118%  99.9999855950327439309221315382252%  0.0000144049672560690778684617748%
## 27d6  0.0017593495216010200804244679250%  99.9999925492423677654602358489160%  0.0000074507576322345397641510840%
## 28d6  0.0011730238574106300868167471882%  99.9999961504721608651209816764957%  0.0000038495278391348790183235043%
## 29d6  0.0007820779931120613150428936979%  99.9999980131573798163896179147336%  0.0000019868426201836103820852664%
## 30d6  0.0005214163728271947648801322328%  99.9999989755378825193356343990719%  0.0000010244621174806643656009281%
## 31d6  0.0003476264372610401079383532007%  99.9999994722480316344225343243934%  0.0000005277519683655774656756066%
## 32d6  0.0002317587191954818687691723406%  99.9999997283633856152406541786032%  0.0000002716366143847593458213968%
## 33d6  0.0001545096933077154772055413503%  99.9999998603013169949378990631902%  0.0000001396986830050621009368098%
## 34d6  0.0001030084024605074337514729772%  99.9999999282104496043682803059940%  0.0000000717895503956317196940060%
## 35d6  0.0000686732384346868469636443612%  99.9999999631351131102049534982758%  0.0000000368648868897950465017242%
## 36d6  0.0000457826440202988435384980921%  99.9999999810824982106891426261411%  0.0000000189175017893108573738589%
## 37d6  0.0000305220052121197018067017358%  99.9999999902987190725697270874582%  0.0000000097012809274302729125418%
## 38d6  0.0000203481247407067042615958366%  99.9999999950280942237879611543010%  0.0000000049719057762120388456990%
## 39d6  0.0000135654771267845877029514908%  99.9999999974534143538578955438448%  0.0000000025465856461421044561552%
## 40d6  0.0000090436817343464508995764588%  99.9999999986963907629535360592900%  0.0000000013036092370464639407100%
# [target: 9]
##  2d6 11.1111111111111111111111111111111%  27.7777777777777777777777777777778% 72.2222222222222222222222222222222%
##  3d6 16.6666666666666666666666666666667%  52.3148148148148148148148148148148% 47.6851851851851851851851851851852%
##  4d6 17.2839506172839506172839506172840%  69.4444444444444444444444444444444% 30.5555555555555555555555555555556%
##  5d6 15.4320987654320987654320987654321%  80.5941358024691358024691358024691% 19.4058641975308641975308641975309%
##  6d6 12.7572016460905349794238683127572%  87.6843278463648834019204389574760% 12.3156721536351165980795610425240%
##  7d6 10.0823045267489711934156378600823%  92.1642804069501600365797896662094%  7.8357195930498399634202103337906%
##  8d6  7.7427221460143270842859320225575%  94.9955227861606462429507696997409%  5.0044772138393537570492303002591%
##  9d6  5.8299039780521262002743484224966%  96.7899706440837270741248793374994%  3.2100293559162729258751206625006%
## 10d6  4.3269149350539382546698504631747%  97.9318586311791901641010008636895%  2.0681413688208098358989991363105%
## 11d6  3.1761757184711002726549137157276%  98.6617567811796135412962116208573%  1.3382432188203864587037883791427%
## 12d6  2.3110749829237864598327942330381%  99.1304800812202107101258653359451%  0.8695199187797892898741346640549%
## 13d6  1.6695174064477524315963578271153%  99.4328720594077196088872831916745%  0.5671279405922803911127168083255%
## 14d6  1.1987742341629226532724757363052%  99.6288218353944681117523446210920%  0.3711781646055318882476553789080%
## 15d6  0.8563195789059055160089893954989%  99.7563231160958510855565514502254%  0.2436768839041489144434485497746%
## 16d6  0.6089569516804775908483250094705%  99.8395995106734218501799475040155%  0.1604004893265781498200524959845%
## 17d6  0.4313510894360571621703776229553%  99.8941741717467431437025133691368%  0.1058258282532568562974866308632%
## 18d6  0.3044854450121764210565538778203%  99.9300449101234260219149767270053%  0.0699550898765739780850232729947%
## 19d6  0.2142683527509563388114973960502%  99.9536818961872770833491860485124%  0.0463181038127229166508139514876%
## 20d6  0.1503640431136596678837786276996%  99.9692910643430250046636200091226%  0.0307089356569749953363799908774%
## 21d6  0.1052549305585814452540910056687%  99.9796175362887903018141660390643%  0.0203824637112096981858339609357%
## 22d6  0.0735114151256510555771399286914%  99.9864594064413693002921252851791%  0.0135405935586306997078747148209%
## 23d6  0.0512352409393748715720748370094%  99.9909981151863757737625775197059%  0.0090018848136242262374224802941%
## 24d6  0.0356419109892820870341100448382%  99.9940119928289773802666386485132%  0.0059880071710226197333613514868%
## 25d6  0.0247513285511845721648610462211%  99.9960149504518127443149998439967%  0.0039850495481872556850001560033%
## 26d6  0.0171609216402566378025030698682%  99.9973469432793722582778143097134%  0.0026530567206277417221856902866%
## 27d6  0.0118806382356745188599557676162%  99.9982331997207667453798113809910%  0.0017668002792332546201886190090%
## 28d6  0.0082137746438859466940559588130%  99.9988231266147502350341649293075%  0.0011768733852497649658350706925%
## 29d6  0.0056714158466679670376902079874%  99.9992159351642677550745750210358%  0.0007840648357322449254249789642%
## 30d6  0.0039113212808495188228353316982%  99.9994775591650553245707542668391%  0.0005224408349446754292457331609%
## 31d6  0.0026944657737613075485896400911%  99.9996518458107705943145959711927%  0.0003481541892294056854040288073%
## 32d6  0.0018542560172153228046964387453%  99.9997679696441901333718850062626%  0.0002320303558098666281149937374%
## 33d6  0.0012748010121323471684832875958%  99.9998453506080092794606935218399%  0.0001546493919907205393064781601%
## 34d6  0.0008756208973241539457122836273%  99.9998969198079890969345288330168%  0.0001030801920109030654711669832%
## 35d6  0.0006009163021201816205871423874%  99.9999312898966784233579898539146%  0.0000687101033215766420101460854%
## 36d6  0.0004120568928944026880665738374%  99.9999541984384779118456041280489%  0.0000458015615220881543958719511%
## 37d6  0.0002823352784687918423431896609%  99.9999694682935069528679203857224%  0.0000305317064930471320796142776%
## 38d6  0.0001933106411151739075814268831%  99.9999796469033535170836995584644%  0.0000203530966464829163004415356%
## 39d6  0.0001322651755003370094084697942%  99.9999864319762875692701925923540%  0.0000135680237124307298074076460%
## 40d6  0.0000904377268380017766572060961%  99.9999909550146564165026364828312%  0.0000090449853435834973635171688%
# [target: 10]
##  2d6  8.3333333333333333333333333333333%  16.6666666666666666666666666666667% 83.3333333333333333333333333333333%
##  3d6 15.7407407407407407407407407407407%  35.6481481481481481481481481481481% 64.3518518518518518518518518518519%
##  4d6 20.1388888888888888888888888888889%  52.1604938271604938271604938271605% 47.8395061728395061728395061728395%
##  5d6 21.8106995884773662551440329218107%  65.1620370370370370370370370370370% 34.8379629629629629629629629629630%
##  6d6 21.5856481481481481481481481481481%  74.9271262002743484224965706447188% 25.0728737997256515775034293552812%
##  7d6 20.2324817101051668952903520804755%  82.0819758802011888431641518061271% 17.9180241197988111568358481938729%
##  8d6 18.3132930384087791495198902606310%  87.2528006401463191586648376771834% 12.7471993598536808413351623228166%
##  9d6 16.1935029594065945231926027536453%  90.9600666660316008738505309150028%  9.0399333339683991261494690849972%
## 10d6 14.0908844640679774424630391708581%  93.6049436961252519094311504005148%  6.3950563038747480905688495994852%
## 11d6 12.1236601214316358730320016709287%  95.4855810627085132686412979051296%  4.5144189372914867313587020948704%
## 12d6 10.3472745655356144896611288929533%  96.8194050982964242502930711029070%  3.1805949017035757497069288970930%
## 13d6  8.7796676546839943976220627815066%  97.7633546529599671772909253645591%  2.2366453470400328227090746354409%
## 14d6  7.4176247702700946577324670095081%  98.4300476012315454584798688847868%  1.5699523987684545415201311152132%
## 15d6  6.2469225367728302842160730430548%  98.9000035371899455695475620547265%  1.0999964628100544304524379452735%
## 16d6  5.2484073883714613572134797444851%  99.2306425589929442593316224945449%  0.7693574410070557406683775054551%
## 17d6  4.4015051647754113223668457039194%  99.4628230823106859815321357461815%  0.5371769176893140184678642538185%
## 18d6  3.6861509090415296554687057348689%  99.6255594651112496008584228491849%  0.3744405348887503991415771508151%
## 19d6  3.0837691101099537022585146927185%  99.7394135434363207445376886524622%  0.2605864565636792554623113475378%
## 20d6  2.5776966815991067864607132974839%  99.8189270212293653367798413814230%  0.1810729787706346632201586185770%
## 21d6  2.1532887453835455650104136354563%  99.8743626057302088565600750333956%  0.1256373942697911434399249666044%
## 22d6  1.7978520320908066200837426953230%  99.9129479913157182447149853564876%  0.0870520086842817552850146435124%
## 23d6  1.5004919528988506318559398010644%  99.9397628742470009021905026826966%  0.0602371257529990978094973173034%
## 24d6  1.2519235183253569415452563523430%  99.9583700818396952932325286036750%  0.0416299181603047067674713963250%
## 25d6  1.0442745529667171178550938982936%  99.9712636219006281721501387977756%  0.0287363780993718278498612022244%
## 26d6  0.8708966113238160423738178739165%  99.9801860216391156204753112398452%  0.0198139783608843795246887601548%
## 27d6  0.7261912561753090948377001081190%  99.9863525614850922265198556133749%  0.0136474385149077734801443866251%
## 28d6  0.6054548402405368266329302785212%  99.9906093519708642883401089704945%  0.0093906480291357116598910295055%
## 29d6  0.5047423631558864265467234827157%  99.9935445193175997880368848130483%  0.0064554806824002119631151869517%
## 30d6  0.4207495824810832289962712383211%  99.9955662378842058057479189351409%  0.0044337621157941942520810648591%
## 31d6  0.3507118652372320951194729492599%  99.9969573800370092867660063311016%  0.0030426199629907132339936688984%
## 32d6  0.2923179858316803252836843869753%  99.9979137136269748105671885675173%  0.0020862863730251894328114324827%
## 33d6  0.2436370307638283727571335863719%  99.9985705495958769322922102342441%  0.0014294504041230677077897657559%
## 34d6  0.2030566532710262664199223961977%  99.9990212989106649429888165493895%  0.0009787010893350570111834506105%
## 35d6  0.1692310677824927627876941723972%  99.9993303735945582417374027115272%  0.0006696264054417582625972884728%
## 36d6  0.1410373466766393721940130511090%  99.9995421415455835091575375542115%  0.0004578584544164908424624457885%
## 37d6  0.1175387584919689513156747397667%  99.9996871330150381610255771960615%  0.0003128669849618389744228039385%
## 38d6  0.0979540554020698318776607258688%  99.9997863362622383431761181315813%  0.0002136637377616568238818684187%
## 39d6  0.0816317723918838073430396743811%  99.9998541668007872322607841225598%  0.0001458331992127677392158774402%
## 40d6  0.0680287386943197117536880270509%  99.9999005172878184147259792767352%  0.0000994827121815852740207232648%
# [target: 11]
##  2d6  5.5555555555555555555555555555556%   8.3333333333333333333333333333333% 91.6666666666666666666666666666667%
##  3d6 12.5000000000000000000000000000000%  19.9074074074074074074074074074074% 80.0925925925925925925925925925926%
##  4d6 18.8271604938271604938271604938272%  32.0216049382716049382716049382716% 67.9783950617283950617283950617284%
##  5d6 23.7268518518518518518518518518519%  43.3513374485596707818930041152263% 56.6486625514403292181069958847737%
##  6d6 27.0190329218106995884773662551440%  53.3414780521262002743484224965706% 46.6585219478737997256515775034294%
##  7d6 28.8290895061728395061728395061728%  61.8494941700960219478737997256516% 38.1505058299039780521262002743484%
##  8d6 29.4071978356957780826093583295229%  68.9395076017375400091449474165524% 31.0604923982624599908550525834476%
##  9d6 29.0324395576131687242798353909465%  74.7665637066250063506579281613575% 25.2334362933749936493420718386425%
## 10d6 27.9657340990109908719876712560755%  79.5140592320572744669681112296567% 20.4859407679427255330318887703433%
## 11d6 26.4300763785690697556266829243510%  83.3619209412768773956092962342010% 16.6380790587231226043907037657990%
## 12d6 24.6053931595299384127306700085240%  86.4721305327608097606319422099537% 13.5278694672391902393680577900463%
## 13d6 22.6306834336604980609324459347322%  88.9836869982759727796688625830525% 11.0163130017240272203311374169475%
## 14d6 20.6093178435682091500070353790710%  91.0124228309614508007474018752787%  8.9875771690385491992525981247213%
## 15d6 18.6152696079669033109978341904369%  92.6530810004171152853314890116718%  7.3469189995828847146685109883282%
## 16d6 16.6991502022275474245761947814794%  93.9822351706214829021181427500599%  6.0177648293785170978818572499401%
## 17d6 14.8935453260802516232159703871521%  95.0613179175352746591652900422621%  4.9386820824647253408347099577379%
## 18d6 13.2174854650293589671005371117582%  95.9394085560697199453897171143161%  4.0605914439302800546102828856839%
## 19d6 11.6800591367695314089842348270847%  96.6556444333263670422791739597438%  3.3443555666736329577208260402562%
## 20d6 10.2832569919246720630839378646171%  97.2412303396302585503191280839391%  2.7587696603697414496808719160609%
## 21d6  9.0241636256684883359458298745268%  97.7210738603466632915496613979393%  2.2789261396533367084503386020607%
## 22d6  7.8966159484457217592048499966730%  98.1150959592249116246312426611646%  1.8849040407750883753687573388354%
## 23d6  6.8924363441315664360154581098494%  98.4392709213481502703345628816322%  1.5607290786518497296654371183678%
## 24d6  6.0023333867500249232570925375908%  98.7064465635143383516872722513320%  1.2935534364856616483127277486680%
## 25d6  5.2165466751715718918552348014293%  98.9269890689339110542950448994820%  1.0730109310660889457049551005180%
## 26d6  4.5252973490199519660005457814945%  99.1092894103152995781014933659287%  0.8907105896847004218985066340713%
## 27d6  3.9190928654858281965415554326242%  99.2601613053097831316821555052558%  0.7398386946902168683178444947442%
## 28d6  3.3889238212566161893207255045555%  99.3851545117303274617071786919733%  0.6148454882696725382928213080267%
## 29d6  2.9263818663610521680270449572971%  99.4888021561617133614901613303326%  0.5111978438382866385098386696674%
## 30d6  2.5237208185643200823592684552453%  99.5748166554031225767516476968199%  0.4251833445968774232483523031801%
## 31d6  2.1738776546522321964530654604921%  99.6462455147997771916465333818417%  0.3537544852002228083534666181583%
## 32d6  1.8704658475763323366224321182749%  99.7055957277952944852835041805420%  0.2944042722047055147164958194580%
## 33d6  1.6077502880140178917620870450311%  99.7549335188320485595350766478722%  0.2450664811679514404649233521278%
## 34d6  1.3806105666505335001841004139198%  99.7959646456396386765688941531919%  0.2040353543603613234311058468081%
## 35d6  1.1844975288983003709285173089830%  99.8300993058120654789497085391300%  0.1699006941879345210502914608700%
## 36d6  1.0153866104217697738620903273520%  99.8585047948689441369635245031026%  0.1414952051310558630364754968974%
## 37d6  0.8697304121901154851111171843126%  99.8821483745230692097099024562948%  0.1178516254769307902900975437052%
## 38d6  0.7444121939491167224542556855689%  99.9018322808601685112984574057125%  0.0981677191398314887015425942875%
## 39d6  0.6367013900661460855932313534826%  99.9182223944089034249177444481787%  0.0817776055910965750822555518213%
## 40d6  0.5442118317104668796843539530683%  99.9318717785934987029722912496843%  0.0681282214065012970277087503157%
# [target: 12]
##  2d6  2.7777777777777777777777777777778%   2.7777777777777777777777777777778% 97.2222222222222222222222222222222%
##  3d6  7.4074074074074074074074074074074%   7.4074074074074074074074074074074% 92.5925925925925925925925925925926%
##  4d6 13.1944444444444444444444444444444%  13.1944444444444444444444444444444% 86.8055555555555555555555555555556%
##  5d6 19.6244855967078189300411522633745%  19.6244855967078189300411522633745% 80.3755144032921810699588477366255%
##  6d6 26.3224451303155006858710562414266%  26.3224451303155006858710562414266% 73.6775548696844993141289437585734%
##  7d6 33.0204046639231824417009602194787%  33.0204046639231824417009602194787% 66.9795953360768175582990397805213%
##  8d6 39.5323097660417619265355890870294%  39.5323097660417619265355890870294% 60.4676902339582380734644109129706%
##  9d6 45.7341241490118376263780927704110%  45.7341241490118376263780927704110% 54.2658758509881623736219072295890%
## 10d6 51.5483251330462835949804399735813%  51.5483251330462835949804399735813% 48.4516748669537164050195600264187%
## 11d6 56.9318445627078076399826133098500%  56.9318445627078076399826133098500% 43.0681554372921923600173866901500%
## 12d6 61.8667373732308713479012722014297%  61.8667373732308713479012722014297% 38.1332626267691286520987277985703%
## 13d6 66.3530035646154747187364166483203%  66.3530035646154747187364166483203% 33.6469964353845252812635833516797%
## 14d6 70.4031049873932416507403664962077%  70.4031049873932416507403664962077% 29.5968950126067583492596335037923%
## 15d6 74.0378113924502119743336548212348%  74.0378113924502119743336548212348% 25.9621886075497880256663451787652%
## 16d6 77.2830849683939354775419479685805%  77.2830849683939354775419479685805% 22.7169150316060645224580520314195%
## 17d6 80.1677725914550230359493196551099%  80.1677725914550230359493196551099% 19.8322274085449769640506803448901%
## 18d6 82.7219230910403609782891800025579%  82.7219230910403609782891800025579% 17.2780769089596390217108199974421%
## 19d6 84.9755852965568356332949391326590%  84.9755852965568356332949391326590% 15.0244147034431643667050608673410%
## 20d6 86.9579733477055864872351902193221%  86.9579733477055864872351902193221% 13.0420266522944135127648097806779%
## 21d6 88.6969102346781749556038315234125%  88.6969102346781749556038315234125% 11.3030897653218250443961684765875%
## 22d6 90.2184800107791898654263926644916%  90.2184800107791898654263926644916%  9.7815199892208101345736073355084%
## 23d6 91.5468345772165838343191047717828%  91.5468345772165838343191047717828%  8.4531654227834161656808952282172%
## 24d6 92.7041131767643134284301797137411%  92.7041131767643134284301797137411%  7.2958868232356865715698202862589%
## 25d6 93.7104423937623391624398100980527%  93.7104423937623391624398100980527%  6.2895576062376608375601899019473%
## 26d6 94.5839920612953476121009475844343%  94.5839920612953476121009475844343%  5.4160079387046523878990524155657%
## 27d6 95.3410684398239549351406000726316%  95.3410684398239549351406000726316%  4.6589315601760450648593999273684%
## 28d6 95.9962306904737112723864531874178%  95.9962306904737112723864531874178%  4.0037693095262887276135468125822%
## 29d6 96.5624202898006611934631163730355%  96.5624202898006611934631163730355%  3.4375797101993388065368836269645%
## 30d6 97.0510958368388024943923792415746%  97.0510958368388024943923792415746%  2.9489041631611975056076207584254%
## 31d6 97.4723678601475449951934679213496%  97.4723678601475449951934679213496%  2.5276321398524550048065320786504%
## 32d6 97.8351298802189621486610720622670%  97.8351298802189621486610720622670%  2.1648701197810378513389279377330%
## 33d6 98.1471832308180306677729896028412%  98.1471832308180306677729896028412%  1.8528167691819693322270103971588%
## 34d6 98.4153540789891051763847937392720%  98.4153540789891051763847937392720%  1.5846459210108948236152062607280%
## 35d6 98.6456017769137651080211912301470%  98.6456017769137651080211912301470%  1.3543982230862348919788087698530%
## 36d6 98.8431181844471743631014341757506%  98.8431181844471743631014341757506%  1.1568818155528256368985658242494%
## 37d6 99.0124179623329537245987852719822%  99.0124179623329537245987852719822%  0.9875820376670462754012147280178%
## 38d6 99.1574200869110517888442017201436%  99.1574200869110517888442017201436%  0.8425799130889482111557982798564%
## 39d6 99.2815210043427573393245130946961%  99.2815210043427573393245130946961%  0.7184789956572426606754869053039%
## 40d6 99.3876599468830318232879372966160%  99.3876599468830318232879372966160%  0.6123400531169681767120627033840%

MAXDICE = 40 # ダイス数上限
DICETYPE = 6 # 6面ダイス
hmk = [(0 ... DICETYPE).map{|i| Array.new(i+1, (i==0)? 1: 0)}]
(0 ... MAXDICE).each do |d|
  hmk[d+1] = Array.new(DICETYPE)
  (0 ... DICETYPE).each do |i|
    hmk[d+1][i] = Array.new(i+1, 0)
  end
  hmk[d].each_index do |i|
    hmk[d][i].each_index do |j|
      (0 ... DICETYPE).each do |k|
        abuf = [i, j, k].sort
        hmk[d+1][abuf[-1]][abuf[-2]] += hmk[d][i][j]
      end
    end
  end
end
rmk = Array.new(MAXDICE+1)
hmk.each_index do |d|
  rmk[d] = Array.new(DICETYPE*2-1, 0)
  hmk[d].each_index do |i|
    hmk[d][i].each_index do |j|
      rmk[d][i+j] += hmk[d][i][j]
    end
  end
end
def rat2s(a, b, s)
  # a/bを小数点以下s桁まで文字列化
  d = (a*(10**s)*2/b+1)/2
  return ("%%d.%%0%dd" % s) % [d/(10**s),d%(10**s)]
end
prec = (DICETYPE**MAXDICE).to_s.length # 最大桁数
open('mayodice-%dd%d-occur.csv' % [MAXDICE,DICETYPE], 'w+') do |f|
  # 出現数
  f.puts(['',(2..(DICETYPE*2)).to_a].join(','))
  (2 .. MAXDICE).each do |d|
    f.puts([d,rmk[d]].join(','))
  end
end
open('mayodice-%dd%d-success.csv' % [MAXDICE,DICETYPE], 'w+') do |f|
  # 成功数
  f.puts(['',(2..(DICETYPE*2)).to_a].join(','))
  (2 .. MAXDICE).each do |d|
    f.puts([d,(0...rmk[d].length).map{|i|rmk[d][i...rmk[d].length].inject{|sum,val|sum+val}}].join(','))
  end
end
open('mayodice-%dd%d-fail.csv' % [MAXDICE,DICETYPE], 'w+') do |f|
  # 失敗数
  f.puts(['',(2..(DICETYPE*2)).to_a].join(','))
  (2 .. MAXDICE).each do |d|
    f.puts([d,(0...rmk[d].length).map{|i|rmk[d][0...i].inject(0){|sum,val|sum+val}}].join(','))
  end
end
open('mayodice-%dd%d-detail.txt' % [MAXDICE,DICETYPE], 'w+') do |f|
  f.puts <<-EOS
# ダイス [パターン総数] [期待値]
## 目標値 出現数 成功数 出現率 成功率
  EOS
  (2 .. MAXDICE).each do |d|
    f.puts("# %dd%d [pattern: %d] [mean: %s]" %
      [d, DICETYPE, DICETYPE**d, rat2s((0...rmk[d].length).inject(0){|sum,i|sum+(i+2)*rmk[d][i]},DICETYPE**d,6)])
    (0 ... rmk[d].length).each do |i|
      succ = rmk[d][i ... rmk[d].length].inject { |sum, val| sum + val }
      f.puts([("## %%%dd %%%dd %%%dd" % [(DICETYPE*2).to_s.length, prec, prec]) % [i+2, rmk[d][i], succ],
          ("%%%ds%%%% %%%ds%%%%" % [prec+2, prec+3]) %
          [rmk[d][i],succ].map{|v|rat2s(100*v,DICETYPE**d,prec-1)}].join(' '))
    end
  end
end
open('mayodice-%dd%d-prob.txt' % [MAXDICE,DICETYPE], 'w+') do |f|
  f.puts <<-EOS
# [目標値]
## ダイス 出現率 成功率 失敗率
  EOS
  (0 .. (DICETYPE*2-2)).each do |i|
    f.puts("# [target: %d]" % [i+2])
    (2 .. MAXDICE).each do |d|
      succ = rmk[d][i ... rmk[d].length].inject{ |sum, val| sum + val }
      fail = rmk[d][0 ... i].inject(0){ |sum, val| sum + val }
      f.puts([("## %%%ddd%d" % [MAXDICE.to_s.length, DICETYPE]) % d,
          ("%%%ds%%%% %%%ds%%%% %%%ds%%%%" % [prec+2, prec+3, prec+2]) %
          [rmk[d][i],succ,fail].map{|v|rat2s(100*v,DICETYPE**d,prec-1)}].join(' '))
    end
  end
end