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呪いのかばんパズル
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| #!/usr/bin/env python3 | |
| # 呪いのカバンパズル | |
| # https://togetter.com/li/1265539 | |
| from statistics import mean, median, stdev | |
| bag = 1000000 # 残っているカバンの数 | |
| rest = 5 # 当たっても大丈夫な回数 | |
| # 結果 | |
| # 平均: 40.791858 回 | |
| # 中央値: 41 回 | |
| # 標準偏差: 9.39 回 | |
| # 最長: 70 回 | |
| # 最短: 5 回 | |
| def put_fish(bag, rest): | |
| # カバンを置く数を判定するアルゴリズム | |
| # https://twitter.com/kyodaisuu/status/1039229105357520897 | |
| if rest == 1: | |
| return 1 | |
| else: | |
| if bag < 2**rest * 2.5: # *2.5 は、平均回数が少なくなるように調整した | |
| return int(bag/2) # 残りのカバンが少ない時は2等分戦略に切り替える | |
| else: | |
| # return int(1000000**((rest-1)/5)) # 等分割方式、平均 41.757 中央値 42 | |
| return int(bag**(1-1/rest)+0.5)+rest # bag^(1/rest) 分割 + 微調整 | |
| def put_hoshikawa(bag, rest): | |
| table=[1,1,16,256,4096,65536] | |
| return table[rest] | |
| def dist(bag, rest, put): | |
| if bag == 0: | |
| return [] | |
| if bag == 1: | |
| return [0] | |
| p = put(bag, rest) | |
| if p >= bag: | |
| p = bag-1 | |
| d = [] | |
| for i in dist(p, rest-1, put): | |
| d.append (i+1) | |
| for i in dist(bag-p,rest, put): | |
| d.append (i+1) | |
| return d | |
| print('calc fish'); | |
| xlist = dist(bag, rest, put_fish) | |
| print('calc hoshikawa'); | |
| ylist = dist(bag, rest, put_hoshikawa) | |
| pqlen=max(max(ylist)+1, max(xlist)+1) | |
| p=[0]*pqlen | |
| c=0 | |
| for x in xlist: | |
| p[x]=p[x]+1 | |
| c=c+1 | |
| for x in range(len(p)): | |
| p[x]=p[x]/c | |
| q=[0]*pqlen | |
| c=0 | |
| for y in ylist: | |
| q[y]=q[y]+1 | |
| c=c+1 | |
| for y in range(len(q)): | |
| q[y]=q[y]/c | |
| xwon = 0 | |
| ywon = 0 | |
| for y in range(len(q)): | |
| for x in range(0,y): | |
| xwon += p[x]*q[y] | |
| for x in range(y,len(p)): | |
| ywon += p[x]*q[y] | |
| print('--------------------'); | |
| print('平均 : {0} 回'.format(mean (xlist))) | |
| print('中央値 : {0} 回'.format(median(xlist))) | |
| print('標準偏差: {0} 回'.format(stdev (xlist))) | |
| print('最長 : {0} 回'.format(max (xlist))) | |
| print('最短 : {0} 回'.format(min (xlist))) | |
| print('fish won={0}'.format(xwon)) | |
| print('--------------------'); | |
| print('平均 : {0} 回'.format(mean (ylist))) | |
| print('中央値 : {0} 回'.format(median(ylist))) | |
| print('標準偏差: {0} 回'.format(stdev (ylist))) | |
| print('最長 : {0} 回'.format(max (ylist))) | |
| print('最短 : {0} 回'.format(min (ylist))) | |
| print('hoshikawa won={0}'.format(ywon)) | |
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