再度以下のカードを用いてペイアウト率および全消し率を計算する。
1~25の順列25P7通りすべてのパターンをチェックすればよい…のだがなぜかメモリ不足でできないので、ランダムに番号を生成してそれを複数回行い近似値を得ることにした。
ただ、100回回すのに42秒かかるという事態。となると10000回試行するだけでも4200秒と1時間以上かかってしまう。これはさすがにプログラムがしょぼいか…。
とりあえず翌朝まで回してどうなるかみたいので、翌朝7時までは12時間つまり43200秒あるので、100000回くらい試行することはできそうであるからやってみる。
途中経過
600回試行→
宝箱獲得率左から24%、45%、30%、21%、15%、15%
ペイアウト率107%
全消し率0.3%
結論として若干良いカードらしいことが分かる。このカードが出続ければ徐々にメダルが増えていくという理論になる…が100%そんなことはない。
なお我が作った即席の荒いプログラムは以下。全然きれいではないが、とりあえず正しい結果を返しているのでまあそれなりに役には立つ。
numtomat[x_] := {1 + QuotientRemainder[x - 1, 6][[1]],
1 + QuotientRemainder[x - 1, 6][[2]]}; group = Table[Table[0, 6], 9];
pos[number_] :=
For[j = 1, j <= 1, j++, return = {};
For[i = 1, i <= 54, i++,
If[num[[numtomat[i][[1]], numtomat[i][[2]]]] == number,
return = Append[return, i]]]; Return[return]];
fall[number_] :=
For[l = 1, l <= 1, l++, eraselist = {};
If[pos[number] != {},
erasegroup =
group[[numtomat[pos[number][[1]]][[1]],
numtomat[pos[number][[1]]][[2]]]];
For[k = 1, k <= 54, k++,
If[erasegroup == group[[numtomat[k][[1]], numtomat[k][[2]]]],
eraselist = Append[eraselist, k]]]; Return[eraselist]]];
erase[list_] :=
For[r = 1, r <= 1, r++,
For[i = 1, i <= Length[list], i++,
If[list != {},
block[[numtomat[list[[i]]][[1]], numtomat[list[[i]]][[2]]]] = 0;
num[[numtomat[list[[i]]][[1]], numtomat[list[[i]]][[2]]]] = 0];
group[[numtomat[list[[i]]][[1]], numtomat[list[[i]]][[2]]]] = 0];
renzoku = Length[list]; retu = RandomInteger[{1, 6}];
Which[renzoku == 7, odds[[retu]] += 0.5, renzoku == 8,
odds[[retu]] += 1.5, renzoku == 9, odds[[retu]] += 4,
renzoku == 10, odds[[retu]] += 4, renzoku == 11,
odds[[retu]] += 9, renzoku == 12, odds[[retu]] += 11.5,
renzoku == 13, odds[[retu]] += 14, renzoku >= 14,
odds[[retu]] += 5*renzoku - 51]];
haitouall = 0; kakutokuall = {0, 0, 0, 0, 0, 0};
zenkesi = 0; For[times = 1, times <= 100000, times++,
in = RandomChoice[Table[i, {i, 1, 25}], 8];
block = {{3, 1, 1, 1, 2, 2}, {3, 1, 1, 1, 2, 2}, {3, 2, 2, 4, 2,
3}, {3, 1, 2, 4, 2, 3}, {3, 1, 2, 4, 3, 3}, {3, 1, 2, 3, 3,
2}, {1, 1, 3, 4, 2, 2}, {1, 3, 3, 4, 2, 2}, {3, 3, 4, 4, 4, 4}};
num = {{0, 0, 20, 2, 0, 0}, {0, 0, 0, 17, 19, 11}, {4, 12, 0, 0, 0,
10}, {16, 0, 22, 9, 6, 0}, {0, 0, 21, 23, 8, 0}, {0, 0, 0, 0, 0,
3}, {14, 13, 15, 7, 0, 0}, {0, 0, 18, 0, 5, 25}, {24, 0, 1, 0, 0,
0}};
group = Table[Table[0, 6], 9];
treasure = {5, 2, 2, 2, 2, 5}; odds = {1, 1, 1, 1, 1, 1};
For[lotta = 1, lotta <= 5, lotta++, groupcount = 0;
group = Table[Table[0, 6], 9]; For[i = 1, i <= 54, i++,
If[group[[numtomat[i][[1]], numtomat[i][[2]]]] == 0 &&
block[[numtomat[i][[1]], numtomat[i][[2]]]] != 0,
groupcount += 1;
group[[numtomat[i][[1]], numtomat[i][[2]]]] = groupcount;
pre = post = 0; first = 0;
color = block[[numtomat[i][[1]], numtomat[i][[2]]]];
While[pre != post || first == 0, first = 1;
pre = Sum[Count[group[[l]], groupcount], {l, 1, 9}];
For[j = 1, j <= 54, j++,
If[group[[numtomat[j][[1]], numtomat[j][[2]]]] == 0,
hidari = migi = ue = sita = {0, 0};
If[numtomat[j][[2]] >= 2,
hidari = {numtomat[j][[1]], numtomat[j][[2]] - 1}];
If[numtomat[j][[2]] <= 5,
migi = {numtomat[j][[1]], numtomat[j][[2]] + 1}];
If[numtomat[j][[1]] >= 2,
ue = {numtomat[j][[1]] - 1, numtomat[j][[2]]}];
If[numtomat[j][[1]] <= 8,
sita = {numtomat[j][[1]] + 1, numtomat[j][[2]]}];
If[
hidari != {0, 0} &&
block[[hidari[[1]], hidari[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
group[[hidari[[1]], hidari[[2]]]] > 0,
group[[numtomat[j][[1]], numtomat[j][[2]]]] =
group[[hidari[[1]], hidari[[2]]]]];
If[
ue != {0, 0} &&
block[[ue[[1]], ue[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
group[[ue[[1]], ue[[2]]]] > 0,
group[[numtomat[j][[1]], numtomat[j][[2]]]] =
group[[ue[[1]], ue[[2]]]]];
If[
migi != {0, 0} &&
block[[migi[[1]], migi[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
group[[migi[[1]], migi[[2]]]] > 0,
group[[numtomat[j][[1]], numtomat[j][[2]]]] =
group[[migi[[1]], migi[[2]]]]];
If[
sita != {0, 0} &&
block[[sita[[1]], sita[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
group[[sita[[1]], sita[[2]]]] > 0,
group[[numtomat[j][[1]], numtomat[j][[2]]]] =
group[[sita[[1]], sita[[2]]]]];]];
groupall =
Sum[If[group[[numtomat[k]]] == groupcount, Return[1],
Return[0]], {k, 1, 54}];
post = Sum[Count[group[[l]], groupcount], {l, 1, 9}];;]];];
Which[lotta == 1, erase[fall[in[[1]]]]; erase[fall[in[[2]]]];
erase[fall[in[[3]]]], lotta == 2, erase[fall[in[[4]]]];
erase[fall[in[[5]]]], lotta == 3, erase[fall[in[[6]]]], lotta == 4,
erase[fall[in[[7]]]], lotta == 5, erase[fall[in[[8]]]]];
onemore = 1;
While[onemore == 1, nonmovelist = Table[Table[0, 6], 9]; first = 0;
pre = 0; post = 0;
While[pre != post || first == 0, first = 1;
pre = Sum[Count[nonmovelist[[l]], 1], {l, 1, 9}];
For[m = 54, m >= 1, m--,
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 && m >= 49,
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 &&
numtomat[m][[1]] <= 8 &&
nonmovelist[[numtomat[m][[1]] + 1, numtomat[m][[2]]]] == 1 &&
group[[numtomat[m][[1]], numtomat[m][[2]]]] ==
group[[numtomat[m][[1]] + 1, numtomat[m][[2]]]],
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 &&
numtomat[m][[1]] >= 2 &&
nonmovelist[[numtomat[m][[1]] - 1, numtomat[m][[2]]]] == 1 &&
group[[numtomat[m][[1]], numtomat[m][[2]]]] ==
group[[numtomat[m][[1]] - 1, numtomat[m][[2]]]],
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 &&
numtomat[m][[2]] >= 2 &&
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]] - 1]] == 1 &&
group[[numtomat[m][[1]], numtomat[m][[2]]]] ==
group[[numtomat[m][[1]], numtomat[m][[2]] - 1]],
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 &&
numtomat[m][[2]] <= 5 &&
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]] + 1]] == 1 &&
group[[numtomat[m][[1]], numtomat[m][[2]]]] ==
group[[numtomat[m][[1]], numtomat[m][[2]] + 1]],
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
If[group[[numtomat[m][[1]], numtomat[m][[2]]]] != 0 &&
numtomat[m][[1]] <= 8 &&
nonmovelist[[numtomat[m][[1]] + 1, numtomat[m][[2]]]] == 1,
nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] = 1];
]; post = Sum[Count[nonmovelist[[l]], 1], {l, 1, 9}];];
For[m = 54, m >= 1, m--,
If[nonmovelist[[numtomat[m][[1]], numtomat[m][[2]]]] == 0 &&
group[[numtomat[m][[1]], numtomat[m][[2]]]] > 0,
block[[numtomat[m][[1]] + 1, numtomat[m][[2]]]] =
block[[numtomat[m][[1]], numtomat[m][[2]]]];
group[[numtomat[m][[1]] + 1, numtomat[m][[2]]]] =
group[[numtomat[m][[1]], numtomat[m][[2]]]];
num[[numtomat[m][[1]] + 1, numtomat[m][[2]]]] =
num[[numtomat[m][[1]], numtomat[m][[2]]]];
block[[numtomat[m][[1]], numtomat[m][[2]]]] = 0;
group[[numtomat[m][[1]], numtomat[m][[2]]]] = 0;
num[[numtomat[m][[1]], numtomat[m][[2]]]] = 0]]; onemore = 0;
For[s = 1, s <= 54, s++,
If[nonmovelist[[numtomat[s][[1]], numtomat[s][[2]]]] == 0 &&
group[[numtomat[s][[1]], numtomat[s][[2]]]] > 0,
onemore = 1]]];];
groupwin = Table[Table[0, 6], 9]; groupcount = 0;
For[i = 1, i <= 54, i++,
If[groupwin[[numtomat[i][[1]], numtomat[i][[2]]]] == 0,
groupcount += 1;
groupwin[[numtomat[i][[1]], numtomat[i][[2]]]] = groupcount;
pre = post = 0; first = 0;
color = block[[numtomat[i][[1]], numtomat[i][[2]]]];
While[pre != post || first == 0, first = 1;
pre = Sum[Count[groupwin[[l]], groupcount], {l, 1, 9}];
For[j = 1, j <= 54, j++,
If[groupwin[[numtomat[j][[1]], numtomat[j][[2]]]] == 0,
hidari = migi = ue = sita = {0, 0};
If[numtomat[j][[2]] >= 2,
hidari = {numtomat[j][[1]], numtomat[j][[2]] - 1}];
If[numtomat[j][[2]] <= 5,
migi = {numtomat[j][[1]], numtomat[j][[2]] + 1}];
If[numtomat[j][[1]] >= 2,
ue = {numtomat[j][[1]] - 1, numtomat[j][[2]]}];
If[numtomat[j][[1]] <= 8,
sita = {numtomat[j][[1]] + 1, numtomat[j][[2]]}];
If[
hidari != {0, 0} &&
block[[hidari[[1]], hidari[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
groupwin[[hidari[[1]], hidari[[2]]]] > 0,
groupwin[[numtomat[j][[1]], numtomat[j][[2]]]] =
groupwin[[hidari[[1]], hidari[[2]]]]];
If[
ue != {0, 0} &&
block[[ue[[1]], ue[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
groupwin[[ue[[1]], ue[[2]]]] > 0,
groupwin[[numtomat[j][[1]], numtomat[j][[2]]]] =
groupwin[[ue[[1]], ue[[2]]]]];
If[
migi != {0, 0} &&
block[[migi[[1]], migi[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
groupwin[[migi[[1]], migi[[2]]]] > 0,
groupwin[[numtomat[j][[1]], numtomat[j][[2]]]] =
groupwin[[migi[[1]], migi[[2]]]]];
If[
sita != {0, 0} &&
block[[sita[[1]], sita[[2]]]] ==
block[[numtomat[j][[1]], numtomat[j][[2]]]] &&
groupwin[[sita[[1]], sita[[2]]]] > 0,
groupwin[[numtomat[j][[1]], numtomat[j][[2]]]] =
groupwin[[sita[[1]], sita[[2]]]]];]];
groupall =
Sum[If[groupwin[[numtomat[k]]] == groupcount, Return[1],
Return[0]], {k, 1, 54}];
post = Sum[Count[groupwin[[l]], groupcount], {l, 1, 9}];;]];];
haitou = 0; kakutoku = {0, 0, 0, 0, 0, 0};
For[i = 49, i <= 54, i++, flug = 0;
If[SubsetQ[
groupwin[[1]], {groupwin[[numtomat[i][[1]],
numtomat[i][[2]]]]}] == True &&
block[[numtomat[i][[1]], numtomat[i][[2]]]] == 0,
haitou += odds[[i - 48]]*treasure[[i - 48]];
kakutoku[[i - 48]] = 1]];
If[group == {{0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0,
0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0,
0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0}},
zenkesi += 1]; kakutokuall += kakutoku; haitouall += haitou;
If[QuotientRemainder[times, 100][[2]] == 0,
Print[{times, N[kakutokuall/times], N[haitouall/times],
N[zenkesi/times]}]]]; Print[{N[kakutokuall/times],
N[haitouall/times], N[zenkesi/times]}]
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