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鱼C论坛»论坛 › 编程语言专区 › Python交流 › python实现24点游戏（地球上最短的24点游戏代码？）
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[作品展示] python实现24点游戏（地球上最短的24点游戏代码？）

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java2python
发表于 2020-7-9 16:13:54 | 显示全部楼层 |阅读模式

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x
牛bi要挑大的吹，否则看帖的人没几个(这个标题纯属吹牛。。。)

所谓24点游戏，就是4个数字和算符的排列组合：

四个里挑两个P(4,2) 计算：四个算符
四个里剩余两个+计算结果，三个里挑两个P(3,2) 计算：四个算符
经过上一轮3个里剩余1个+计算结果，两个里挑两个（排列）计算：四个算符
所以，全部可能性：P(4,2)*4*P(3,2)*4*P(2,2)*4=9216（只可能有重复，不会有逃脱）

实现：
*首先需要N个里取几个的排列函数
*其次就是得到24点公式的函数
*初始化（4个取2个，3个取2个，2个取2个），以及算符
*最后是所谓的难局调用(改了，全部715局，其中566局有解)

  1. def P(n,c, repeat=False,com=0,limit=0,per=[]):
  2.     for pos in range(limit,n):
  3.         t = per + [pos]
  4.         if repeat or len(set(t)) == len(t):
  5.             if len(t) == c:
  6.                     yield [pos,]
  7.             else:
  8.                     for result in P(n,c,repeat,com,com*pos, per + [pos,]):
  9.                             yield [pos,] + result

  11. def get_formula(l0):
  12.     for r in res[4-len(l0)]:
  13.         for o in operator:
  14.             formula = '(%s%s%s)' % (l0[r[0]],o,l0[r[1]])
  15.             if len(l0) == 2:
  16.                 try:
  17.                     if abs(eval(formula)-24)<0.1: return '%s%s%s' % (l0[r[0]],o,l0[r[1]])
  18.                 except:
  19.                     pass
  20.             else:
  21.                 l1 = [l0[x] for x in range(len(l0)) if not(x in r)] + [formula]
  22.                 f = get_formula(l1)
  23.                 if f != None:
  24.                     return f
  25.     return None

  27. res = ([r for r in P(4,2)],[r for r in P(3,2)],[r for r in P(2,2)])
  28. operator = ('+','-','*','/')

  30. for r0 in P(11,4,True,1,1):
  31.     print(r0,get_formula([str(r) for r in r0]))
复制代码


结果（有几百行）：
  1. [1, 1, 1, 1] None
  2. [1, 1, 1, 2] None
  3. [1, 1, 1, 3] None
  4. [1, 1, 1, 4] None
  5. [1, 1, 1, 5] None
  6. [1, 1, 1, 6] None
  7. [1, 1, 1, 7] None
  8. [1, 1, 1, 8] 8*(1+(1+1))
  9. [1, 1, 1, 9] None
  10. [1, 1, 1, 10] None
  11. [1, 1, 2, 2] None
  12. [1, 1, 2, 3] None
  13. [1, 1, 2, 4] None
  14. [1, 1, 2, 5] None
  15. [1, 1, 2, 6] (1+1)*(2*6)
  16. [1, 1, 2, 7] (1+2)*(1+7)
  17. [1, 1, 2, 8] 8*(2+(1*1))
  18. [1, 1, 2, 9] (1+2)*(9-1)
  19. [1, 1, 2, 10] (1+1)*(2+10)
  20. [1, 1, 3, 3] None
  21. [1, 1, 3, 4] (1+1)*(3*4)
  22. [1, 1, 3, 5] (1+3)*(1+5)
  23. [1, 1, 3, 6] 3*(6+(1+1))
  24. [1, 1, 3, 7] 3*(7+(1*1))
  25. [1, 1, 3, 8] (1-1)+(3*8)
  26. [1, 1, 3, 9] (1+1)*(3+9)
  27. [1, 1, 3, 10] 3*(10-(1+1))
  28. [1, 1, 4, 4] 4*(4+(1+1))
  29. [1, 1, 4, 5] 4*(5+(1*1))
  30. [1, 1, 4, 6] (1-1)+(4*6)
  31. [1, 1, 4, 7] 4*(7-(1*1))
  32. [1, 1, 4, 8] (1+1)*(4+8)
  33. [1, 1, 4, 9] (1-4)*(1-9)
  34. [1, 1, 4, 10] 4+(10*(1+1))
  35. [1, 1, 5, 5] (5*5)-(1*1)
  36. [1, 1, 5, 6] 6*(5-(1*1))
  37. [1, 1, 5, 7] (1+1)*(5+7)
  38. [1, 1, 5, 8] 8*(5-(1+1))
  39. [1, 1, 5, 9] None
  40. [1, 1, 5, 10] None
  41. [1, 1, 6, 6] (1+1)*(6+6)
  42. [1, 1, 6, 7] None
  43. [1, 1, 6, 8] (6*8)/(1+1)
  44. [1, 1, 6, 9] 6+(9*(1+1))
  45. [1, 1, 6, 10] None
  46. [1, 1, 7, 7] None
  47. [1, 1, 7, 8] None
  48. [1, 1, 7, 9] None
  49. [1, 1, 7, 10] 10+(7*(1+1))
  50. [1, 1, 8, 8] 8+(8*(1+1))
  51. [1, 1, 8, 9] None
  52. [1, 1, 8, 10] None
  53. [1, 1, 9, 9] None
  54. [1, 1, 9, 10] None
  55. [1, 1, 10, 10] None
  56. [1, 2, 2, 2] None
  57. [1, 2, 2, 3] None
  58. [1, 2, 2, 4] (1+2)*(2*4)
  59. [1, 2, 2, 5] (1+5)*(2+2)
  60. [1, 2, 2, 6] (1+2)*(2+6)
  61. [1, 2, 2, 7] (2+2)*(7-1)
  62. [1, 2, 2, 8] 8*(2-(1-2))
  63. [1, 2, 2, 9] 2*(9+(1+2))
  64. [1, 2, 2, 10] (1+2)*(10-2)
  65. [1, 2, 3, 3] (1+3)*(2*3)
  66. [1, 2, 3, 4] 4*(3+(1+2))
  67. [1, 2, 3, 5] (1+2)*(3+5)
  68. [1, 2, 3, 6] 6*(3-(1-2))
  69. [1, 2, 3, 7] (1+2)+(3*7)
  70. [1, 2, 3, 8] (1+3)*(8-2)
  71. [1, 2, 3, 9] (3*9)-(1+2)
  72. [1, 2, 3, 10] 3*(10-(1*2))
  73. [1, 2, 4, 4] (1+2)*(4+4)
  74. [1, 2, 4, 5] 4*(5-(1-2))
  75. [1, 2, 4, 6] (2-1)*(4*6)
  76. [1, 2, 4, 7] 4*(7+(1-2))
  77. [1, 2, 4, 8] 8*(4+(1-2))
  78. [1, 2, 4, 9] 4*(9-(1+2))
  79. [1, 2, 4, 10] 4+(10*(1*2))
  80. [1, 2, 5, 5] (1-2)+(5*5)
  81. [1, 2, 5, 6] 6*(5+(1-2))
  82. [1, 2, 5, 7] (1*2)*(5+7)
  83. [1, 2, 5, 8] 8*(5-(1*2))
  84. [1, 2, 5, 9] 9+(5*(1+2))
  85. [1, 2, 5, 10] (2*10)-(1-5)
  86. [1, 2, 6, 6] 6+(6*(1+2))
  87. [1, 2, 6, 7] 6*(7-(1+2))
  88. [1, 2, 6, 8] 8*(6-(1+2))
  89. [1, 2, 6, 9] 6+(9*(1*2))
  90. [1, 2, 6, 10] (10*(1+2))-6
  91. [1, 2, 7, 7] ((7*7)-1)/2
  92. [1, 2, 7, 8] (1+7)+(2*8)
  93. [1, 2, 7, 9] (2*9)-(1-7)
  94. [1, 2, 7, 10] 10+(7*(1*2))
  95. [1, 2, 8, 8] 8+(8*(1*2))
  96. [1, 2, 8, 9] (8*9)/(1+2)
  97. [1, 2, 8, 10] 10-(2*(1-8))
  98. [1, 2, 9, 9] None
  99. [1, 2, 9, 10] None
  100. [1, 2, 10, 10] None
  101. [1, 3, 3, 3] (1+3)*(3+3)
  102. [1, 3, 3, 4] 3*(4+(1+3))
  103. [1, 3, 3, 5] (1*3)*(3+5)
  104. [1, 3, 3, 6] 3*(6-(1-3))
  105. [1, 3, 3, 7] (1*3)+(3*7)
  106. [1, 3, 3, 8] (3*(1+8))-3
  107. [1, 3, 3, 9] (1+3)*(9-3)
  108. [1, 3, 3, 10] 3*(10+(1-3))
  109. [1, 3, 4, 4] 4*(4-(1-3))
  110. [1, 3, 4, 5] (1+3)+(4*5)
  111. [1, 3, 4, 6] 6/(1-(3/4))
  112. [1, 3, 4, 7] (4*7)-(1+3)
  113. [1, 3, 4, 8] 8+(4*(1+3))
  114. [1, 3, 4, 9] 4*(9-(1*3))
  115. [1, 3, 4, 10] (1+3)*(10-4)
  116. [1, 3, 5, 5] None
  117. [1, 3, 5, 6] (1+5)+(3*6)
  118. [1, 3, 5, 7] (1+5)*(7-3)
  119. [1, 3, 5, 8] 8*(5+(1-3))
  120. [1, 3, 5, 9] 9+(5*(1*3))
  121. [1, 3, 5, 10] (3*10)-(1+5)
  122. [1, 3, 6, 6] 6*(6+(1-3))
  123. [1, 3, 6, 7] 6*(7-(1*3))
  124. [1, 3, 6, 8] 6*(8-(1+3))
  125. [1, 3, 6, 9] 6-(9*(1-3))
  126. [1, 3, 6, 10] (10*(1*3))-6
  127. [1, 3, 7, 7] (1-7)*(3-7)
  128. [1, 3, 7, 8] 8*(7-(1+3))
  129. [1, 3, 7, 9] (1+7)/(3/9)
  130. [1, 3, 7, 10] 10-(7*(1-3))
  131. [1, 3, 8, 8] (8*(1+3))-8
  132. [1, 3, 8, 9] (8*9)/(1*3)
  133. [1, 3, 8, 10] (10-1)/(3/8)
  134. [1, 3, 9, 9] (9-1)/(3/9)
  135. [1, 3, 9, 10] (3*(1+10))-9
  136. [1, 3, 10, 10] (1+3)+(10+10)
  137. [1, 4, 4, 4] 4+(4*(1+4))
  138. [1, 4, 4, 5] (1*4)+(4*5)
  139. [1, 4, 4, 6] (4*(1+6))-4
  140. [1, 4, 4, 7] (4*7)-(1*4)
  141. [1, 4, 4, 8] 8+(4*(1*4))
  142. [1, 4, 4, 9] 4*(9+(1-4))
  143. [1, 4, 4, 10] (1*4)*(10-4)
  144. [1, 4, 5, 5] (4*5)-(1-5)
  145. [1, 4, 5, 6] 6/((5/4)-1)
  146. [1, 4, 5, 7] (1-5)+(4*7)
  147. [1, 4, 5, 8] (1+5)*(8-4)
  148. [1, 4, 5, 9] 9-(5*(1-4))
  149. [1, 4, 5, 10] (1-5)*(4-10)
  150. [1, 4, 6, 6] (6*(1+4))-6
  151. [1, 4, 6, 7] 6*(7+(1-4))
  152. [1, 4, 6, 8] 8*(6+(1-4))
  153. [1, 4, 6, 9] 6*(9-(1+4))
  154. [1, 4, 6, 10] (10*(4-1))-6
  155. [1, 4, 7, 7] (1+7)*(7-4)
  156. [1, 4, 7, 8] 8*(7-(1*4))
  157. [1, 4, 7, 9] (1-9)*(4-7)
  158. [1, 4, 7, 10] None
  159. [1, 4, 8, 8] 8*(8-(1+4))
  160. [1, 4, 8, 9] (1-9)+(4*8)
  161. [1, 4, 8, 10] None
  162. [1, 4, 9, 9] None
  163. [1, 4, 9, 10] (1+4)+(9+10)
  164. [1, 4, 10, 10] (1*4)+(10+10)
  165. [1, 5, 5, 5] 5*(5-(1/5))
  166. [1, 5, 5, 6] (5*6)-(1+5)
  167. [1, 5, 5, 7] None
  168. [1, 5, 5, 8] None
  169. [1, 5, 5, 9] (1+5)*(9-5)
  170. [1, 5, 5, 10] (5*(10-5))-1
  171. [1, 5, 6, 6] (6*(1*5))-6
  172. [1, 5, 6, 7] (1-7)+(5*6)
  173. [1, 5, 6, 8] 6*(8+(1-5))
  174. [1, 5, 6, 9] 6*(9-(1*5))
  175. [1, 5, 6, 10] (1+5)*(10-6)
  176. [1, 5, 7, 7] None
  177. [1, 5, 7, 8] 8*(7+(1-5))
  178. [1, 5, 7, 9] (1-7)*(5-9)
  179. [1, 5, 7, 10] (5*7)-(1+10)
  180. [1, 5, 8, 8] 8*(8-(1*5))
  181. [1, 5, 8, 9] 8*(9-(1+5))
  182. [1, 5, 8, 10] (1+5)+(8+10)
  183. [1, 5, 9, 9] (1+5)+(9+9)
  184. [1, 5, 9, 10] (1*5)+(9+10)
  185. [1, 5, 10, 10] (10+10)-(1-5)
  186. [1, 6, 6, 6] (6*(6-1))-6
  187. [1, 6, 6, 7] None
  188. [1, 6, 6, 8] 6/(1-(6/8))
  189. [1, 6, 6, 9] 6*(9+(1-6))
  190. [1, 6, 6, 10] (1*6)*(10-6)
  191. [1, 6, 7, 7] None
  192. [1, 6, 7, 8] None
  193. [1, 6, 7, 9] (1+7)*(9-6)
  194. [1, 6, 7, 10] (1+6)+(7+10)
  195. [1, 6, 8, 8] 8*(8+(1-6))
  196. [1, 6, 8, 9] (1+6)+(8+9)
  197. [1, 6, 8, 10] 8*(10-(1+6))
  198. [1, 6, 9, 9] (1*6)+(9+9)
  199. [1, 6, 9, 10] (9+10)-(1-6)
  200. [1, 6, 10, 10] None
  201. [1, 7, 7, 7] None
  202. [1, 7, 7, 8] None
  203. [1, 7, 7, 9] (1+7)+(7+9)
  204. [1, 7, 7, 10] (1+7)*(10-7)
  205. [1, 7, 8, 8] (1+7)+(8+8)
  206. [1, 7, 8, 9] 8*(9+(1-7))
  207. [1, 7, 8, 10] (8+10)-(1-7)
  208. [1, 7, 9, 9] (9+9)-(1-7)
  209. [1, 7, 9, 10] (1-9)*(7-10)
  210. [1, 7, 10, 10] None
  211. [1, 8, 8, 8] (1*8)+(8+8)
  212. [1, 8, 8, 9] (8+9)-(1-8)
  213. [1, 8, 8, 10] 8*(10+(1-8))
  214. [1, 8, 9, 9] None
  215. [1, 8, 9, 10] None
  216. [1, 8, 10, 10] None
  217. [1, 9, 9, 9] None
  218. [1, 9, 9, 10] None
  219. [1, 9, 10, 10] None
  220. [1, 10, 10, 10] None
  221. [2, 2, 2, 2] None
  222. [2, 2, 2, 3] (2+2)*(2*3)
  223. [2, 2, 2, 4] (2+2)*(2+4)
  224. [2, 2, 2, 5] 2*(2+(2*5))
  225. [2, 2, 2, 6] None
  226. [2, 2, 2, 7] 2*((2*7)-2)
  227. [2, 2, 2, 8] (2+2)*(8-2)
  228. [2, 2, 2, 9] 2+(2*(2+9))
  229. [2, 2, 2, 10] (2+2)+(2*10)
  230. [2, 2, 3, 3] (2+2)*(3+3)
  231. [2, 2, 3, 4] 3*(4+(2+2))
  232. [2, 2, 3, 5] 3*((2*5)-2)
  233. [2, 2, 3, 6] 6*(3+(2/2))
  234. [2, 2, 3, 7] 3*(7+(2/2))
  235. [2, 2, 3, 8] (2-2)+(3*8)
  236. [2, 2, 3, 9] (2+2)*(9-3)
  237. [2, 2, 3, 10] (2*(3+10))-2
  238. [2, 2, 4, 4] 2*(4+(2*4))
  239. [2, 2, 4, 5] (2+2)+(4*5)
  240. [2, 2, 4, 6] (2-2)+(4*6)
  241. [2, 2, 4, 7] (4*7)-(2+2)
  242. [2, 2, 4, 8] 8+(4*(2+2))
  243. [2, 2, 4, 9] (2+4)+(2*9)
  244. [2, 2, 4, 10] (2+2)*(10-4)
  245. [2, 2, 5, 5] (5*5)-(2/2)
  246. [2, 2, 5, 6] 6*(5-(2/2))
  247. [2, 2, 5, 7] (2*5)+(2*7)
  248. [2, 2, 5, 8] (2*(5+8))-2
  249. [2, 2, 5, 9] 2*(9-(2-5))
  250. [2, 2, 5, 10] 10+(2*(2+5))
  251. [2, 2, 6, 6] (2+6)/(2/6)
  252. [2, 2, 6, 7] 6+(2*(2+7))
  253. [2, 2, 6, 8] 6*(8-(2+2))
  254. [2, 2, 6, 9] 2*((2*9)-6)
  255. [2, 2, 6, 10] (2*10)-(2-6)
  256. [2, 2, 7, 7] 2*(7-(2-7))
  257. [2, 2, 7, 8] 8*(7-(2+2))
  258. [2, 2, 7, 9] None
  259. [2, 2, 7, 10] 2*(7+(10/2))
  260. [2, 2, 8, 8] (8*(2+2))-8
  261. [2, 2, 8, 9] (2*9)-(2-8)
  262. [2, 2, 8, 10] (2*8)-(2-10)
  263. [2, 2, 9, 9] None
  264. [2, 2, 9, 10] 10-(2*(2-9))
  265. [2, 2, 10, 10] (2+2)+(10+10)
  266. [2, 3, 3, 3] 3*(3+(2+3))
  267. [2, 3, 3, 4] None
  268. [2, 3, 3, 5] 3+(3*(2+5))
  269. [2, 3, 3, 6] 6*(3-(2-3))
  270. [2, 3, 3, 7] 3*(7-(2-3))
  271. [2, 3, 3, 8] 8*((2*3)-3)
  272. [2, 3, 3, 9] 9+(3*(2+3))
  273. [2, 3, 3, 10] (3*10)-(2*3)
  274. [2, 3, 4, 4] 4+(4*(2+3))
  275. [2, 3, 4, 5] 4*(5-(2-3))
  276. [2, 3, 4, 6] (2+4)+(3*6)
  277. [2, 3, 4, 7] 4*(7+(2-3))
  278. [2, 3, 4, 8] 8*(4+(2-3))
  279. [2, 3, 4, 9] (2/3)*(4*9)
  280. [2, 3, 4, 10] (3*10)-(2+4)
  281. [2, 3, 5, 5] (2-3)+(5*5)
  282. [2, 3, 5, 6] 6*(5+(2-3))
  283. [2, 3, 5, 7] (3*7)-(2-5)
  284. [2, 3, 5, 8] (2*8)+(3+5)
  285. [2, 3, 5, 9] (2*3)*(9-5)
  286. [2, 3, 5, 10] (2+10)*(5-3)
  287. [2, 3, 6, 6] (6*(2+3))-6
  288. [2, 3, 6, 7] 3+(7/(2/6))
  289. [2, 3, 6, 8] (3*(2+8))-6
  290. [2, 3, 6, 9] 6*(9-(2+3))
  291. [2, 3, 6, 10] (2*3)*(10-6)
  292. [2, 3, 7, 7] (2*7)+(3+7)
  293. [2, 3, 7, 8] (2+7)/(3/8)
  294. [2, 3, 7, 9] (7+9)/(2/3)
  295. [2, 3, 7, 10] (2*10)-(3-7)
  296. [2, 3, 8, 8] 8*(8-(2+3))
  297. [2, 3, 8, 9] 8*(9-(2*3))
  298. [2, 3, 8, 10] (2*3)+(8+10)
  299. [2, 3, 9, 9] (2*3)+(9+9)
  300. [2, 3, 9, 10] (2+3)+(9+10)
  301. [2, 3, 10, 10] 10-(2*(3-10))
  302. [2, 4, 4, 4] 4*(4-(2-4))
  303. [2, 4, 4, 5] (4*(2+5))-4
  304. [2, 4, 4, 6] 6*((2*4)-4)
  305. [2, 4, 4, 7] (2*4)*(7-4)
  306. [2, 4, 4, 8] (2+4)*(8-4)
  307. [2, 4, 4, 9] (4*(9-2))-4
  308. [2, 4, 4, 10] 4-(10*(2-4))
  309. [2, 4, 5, 5] 4+(2*(5+5))
  310. [2, 4, 5, 6] (5*6)-(2+4)
  311. [2, 4, 5, 7] (5+7)/(2/4)
  312. [2, 4, 5, 8] 8*(5+(2-4))
  313. [2, 4, 5, 9] (2+4)*(9-5)
  314. [2, 4, 5, 10] (2*5)+(4+10)
  315. [2, 4, 6, 6] 6*(6+(2-4))
  316. [2, 4, 6, 7] (2+6)*(7-4)
  317. [2, 4, 6, 8] (2/4)*(6*8)
  318. [2, 4, 6, 9] 6-(9*(2-4))
  319. [2, 4, 6, 10] (2+4)*(10-6)
  320. [2, 4, 7, 7] (2*(7+7))-4
  321. [2, 4, 7, 8] 4*((2*7)-8)
  322. [2, 4, 7, 9] (2*4)+(7+9)
  323. [2, 4, 7, 10] 10-(7*(2-4))
  324. [2, 4, 8, 8] 8-(8*(2-4))
  325. [2, 4, 8, 9] 8*(9-(2+4))
  326. [2, 4, 8, 10] (2+4)+(8+10)
  327. [2, 4, 9, 9] (2+4)+(9+9)
  328. [2, 4, 9, 10] (2*9)-(4-10)
  329. [2, 4, 10, 10] 10*(2+(4/10))
  330. [2, 5, 5, 5] None
  331. [2, 5, 5, 6] None
  332. [2, 5, 5, 7] (2*7)+(5+5)
  333. [2, 5, 5, 8] 8*(2+(5/5))
  334. [2, 5, 5, 9] 9-(5*(2-5))
  335. [2, 5, 5, 10] 5*(5-(2/10))
  336. [2, 5, 6, 6] 6-(6*(2-5))
  337. [2, 5, 6, 7] 6*(7+(2-5))
  338. [2, 5, 6, 8] 8*(6+(2-5))
  339. [2, 5, 6, 9] 9+(6/(2/5))
  340. [2, 5, 6, 10] (2/5)*(6*10)
  341. [2, 5, 7, 7] (2*5)+(7+7)
  342. [2, 5, 7, 8] 8*((2*5)-7)
  343. [2, 5, 7, 9] (5*7)-(2+9)
  344. [2, 5, 7, 10] (2+5)+(7+10)
  345. [2, 5, 8, 8] (5*8)-(2*8)
  346. [2, 5, 8, 9] (2+5)+(8+9)
  347. [2, 5, 8, 10] 8*(10-(2+5))
  348. [2, 5, 9, 9] None
  349. [2, 5, 9, 10] (2*10)-(5-9)
  350. [2, 5, 10, 10] (2+10)/(5/10)
  351. [2, 6, 6, 6] (2*6)+(6+6)
  352. [2, 6, 6, 7] 6*(7-(6/2))
  353. [2, 6, 6, 8] 6*(8+(2-6))
  354. [2, 6, 6, 9] (2+6)*(9-6)
  355. [2, 6, 6, 10] (2+6)+(6+10)
  356. [2, 6, 7, 7] None
  357. [2, 6, 7, 8] 8*(7+(2-6))
  358. [2, 6, 7, 9] (2+6)+(7+9)
  359. [2, 6, 7, 10] (2+6)*(10-7)
  360. [2, 6, 8, 8] (2+6)+(8+8)
  361. [2, 6, 8, 9] 8*((2*6)-9)
  362. [2, 6, 8, 10] (2*6)*(10-8)
  363. [2, 6, 9, 9] 2*(9-(6-9))
  364. [2, 6, 9, 10] (2-10)*(6-9)
  365. [2, 6, 10, 10] (10+10)-(2-6)
  366. [2, 7, 7, 7] None
  367. [2, 7, 7, 8] (2+7)+(7+8)
  368. [2, 7, 7, 9] None
  369. [2, 7, 7, 10] 7*(2+(10/7))
  370. [2, 7, 8, 8] 8*(8+(2-7))
  371. [2, 7, 8, 9] (2*(7+9))-8
  372. [2, 7, 8, 10] None
  373. [2, 7, 9, 9] None
  374. [2, 7, 9, 10] (9+10)-(2-7)
  375. [2, 7, 10, 10] (2-10)*(7-10)
  376. [2, 8, 8, 8] (8/(2/8))-8
  377. [2, 8, 8, 9] 8*(9+(2-8))
  378. [2, 8, 8, 10] (8+10)-(2-8)
  379. [2, 8, 9, 9] (9+9)-(2-8)
  380. [2, 8, 9, 10] 8*(10+(2-9))
  381. [2, 8, 10, 10] (2+10)*(10-8)
  382. [2, 9, 9, 9] None
  383. [2, 9, 9, 10] None
  384. [2, 9, 10, 10] (9+10)+(10/2)
  385. [2, 10, 10, 10] None
  386. [3, 3, 3, 3] (3*(3*3))-3
  387. [3, 3, 3, 4] 4*((3*3)-3)
  388. [3, 3, 3, 5] (3*3)+(3*5)
  389. [3, 3, 3, 6] (3+3)+(3*6)
  390. [3, 3, 3, 7] (3+3)*(7-3)
  391. [3, 3, 3, 8] 8*((3+3)-3)
  392. [3, 3, 3, 9] 3*(9-(3/3))
  393. [3, 3, 3, 10] (3*10)-(3+3)
  394. [3, 3, 4, 4] (3*4)+(3*4)
  395. [3, 3, 4, 5] 4*(5+(3/3))
  396. [3, 3, 4, 6] (3-3)+(4*6)
  397. [3, 3, 4, 7] 4*(7-(3/3))
  398. [3, 3, 4, 8] (3+3)*(8-4)
  399. [3, 3, 4, 9] 3*(9+(3-4))
  400. [3, 3, 4, 10] None
  401. [3, 3, 5, 5] (5*5)-(3/3)
  402. [3, 3, 5, 6] (5*6)-(3+3)
  403. [3, 3, 5, 7] 3*((3*5)-7)
  404. [3, 3, 5, 8] None
  405. [3, 3, 5, 9] (3+3)*(9-5)
  406. [3, 3, 5, 10] (3*3)+(5+10)
  407. [3, 3, 6, 6] 3*(6+(6/3))
  408. [3, 3, 6, 7] (3*7)-(3-6)
  409. [3, 3, 6, 8] 8*((3*3)-6)
  410. [3, 3, 6, 9] (3*3)+(6+9)
  411. [3, 3, 6, 10] (3+3)*(10-6)
  412. [3, 3, 7, 7] 7*(3+(3/7))
  413. [3, 3, 7, 8] (3*3)+(7+8)
  414. [3, 3, 7, 9] (3-7)*(3-9)
  415. [3, 3, 7, 10] None
  416. [3, 3, 8, 8] 8/(3-(8/3))
  417. [3, 3, 8, 9] 8*(9-(3+3))
  418. [3, 3, 8, 10] (3+3)+(8+10)
  419. [3, 3, 9, 9] (3+3)+(9+9)
  420. [3, 3, 9, 10] (3-9)+(3*10)
  421. [3, 3, 10, 10] None
  422. [3, 4, 4, 4] (4*(3+4))-4
  423. [3, 4, 4, 5] 4*(5-(3-4))
  424. [3, 4, 4, 6] (3*4)*(6-4)
  425. [3, 4, 4, 7] 4*(7+(3-4))
  426. [3, 4, 4, 8] 8*((3+4)-4)
  427. [3, 4, 4, 9] (4*9)-(3*4)
  428. [3, 4, 4, 10] (4*(10-3))-4
  429. [3, 4, 5, 5] (3-4)+(5*5)
  430. [3, 4, 5, 6] 6*(5+(3-4))
  431. [3, 4, 5, 7] (3*4)+(5+7)
  432. [3, 4, 5, 8] (4*8)-(3+5)
  433. [3, 4, 5, 9] 4*((3*5)-9)
  434. [3, 4, 5, 10] (3*4)/(5/10)
  435. [3, 4, 6, 6] (3*4)+(6+6)
  436. [3, 4, 6, 7] None
  437. [3, 4, 6, 8] (3*4)*(8-6)
  438. [3, 4, 6, 9] 4*(9+(3-6))
  439. [3, 4, 6, 10] (3*6)-(4-10)
  440. [3, 4, 7, 7] (3-7)+(4*7)
  441. [3, 4, 7, 8] 8-(4*(3-7))
  442. [3, 4, 7, 9] (3*4)*(9-7)
  443. [3, 4, 7, 10] (3+4)+(7+10)
  444. [3, 4, 8, 8] None
  445. [3, 4, 8, 9] (3+4)+(8+9)
  446. [3, 4, 8, 10] 8*(10-(3+4))
  447. [3, 4, 9, 9] (9+9)/(3/4)
  448. [3, 4, 9, 10] None
  449. [3, 4, 10, 10] (3*10)+(4-10)
  450. [3, 5, 5, 5] None
  451. [3, 5, 5, 6] (3*(5+5))-6
  452. [3, 5, 5, 7] (5-3)*(5+7)
  453. [3, 5, 5, 8] (3+5)*(8-5)
  454. [3, 5, 5, 9] 3*(9-(5/5))
  455. [3, 5, 5, 10] None
  456. [3, 5, 6, 6] 6*(6+(3-5))
  457. [3, 5, 6, 7] (5+7)/(3/6)
  458. [3, 5, 6, 8] (3*8)*(6-5)
  459. [3, 5, 6, 9] (3+5)*(9-6)
  460. [3, 5, 6, 10] (3+5)+(6+10)
  461. [3, 5, 7, 7] None
  462. [3, 5, 7, 8] (3*7)-(5-8)
  463. [3, 5, 7, 9] (3+5)+(7+9)
  464. [3, 5, 7, 10] (3+5)*(10-7)
  465. [3, 5, 8, 8] (3+5)+(8+8)
  466. [3, 5, 8, 9] (3*9)+(5-8)
  467. [3, 5, 8, 10] None
  468. [3, 5, 9, 9] 9+(9/(3/5))
  469. [3, 5, 9, 10] (3+9)/(5/10)
  470. [3, 5, 10, 10] 3*(10-(10/5))
  471. [3, 6, 6, 6] 6-(6*(3-6))
  472. [3, 6, 6, 7] 6*(7+(3-6))
  473. [3, 6, 6, 8] 8*((3+6)-6)
  474. [3, 6, 6, 9] (3+6)+(6+9)
  475. [3, 6, 6, 10] (10*(6-3))-6
  476. [3, 6, 7, 7] 3*(7-(6-7))
  477. [3, 6, 7, 8] (3+6)+(7+8)
  478. [3, 6, 7, 9] (3*7)-(6-9)
  479. [3, 6, 7, 10] 10+(7/(3/6))
  480. [3, 6, 8, 8] 8+(8/(3/6))
  481. [3, 6, 8, 9] 6*(9+(3-8))
  482. [3, 6, 8, 10] 3*(10+(6-8))
  483. [3, 6, 9, 9] (3*9)+(6-9)
  484. [3, 6, 9, 10] (3-9)*(6-10)
  485. [3, 6, 10, 10] 10*(3-(6/10))
  486. [3, 7, 7, 7] (3+7)+(7+7)
  487. [3, 7, 7, 8] 8*((3+7)-7)
  488. [3, 7, 7, 9] 3*(9-(7/7))
  489. [3, 7, 7, 10] (3*7)-(7-10)
  490. [3, 7, 8, 8] (3*8)*(8-7)
  491. [3, 7, 8, 9] 3*(9+(7-8))
  492. [3, 7, 8, 10] None
  493. [3, 7, 9, 9] (3+9)*(9-7)
  494. [3, 7, 9, 10] (3*9)+(7-10)
  495. [3, 7, 10, 10] (10+10)-(3-7)
  496. [3, 8, 8, 8] 8*((3+8)-8)
  497. [3, 8, 8, 9] (3*8)*(9-8)
  498. [3, 8, 8, 10] ((8*10)-8)/3
  499. [3, 8, 9, 9] (3*8)+(9-9)
  500. [3, 8, 9, 10] (9+10)-(3-8)
  501. [3, 8, 10, 10] (3*8)+(10-10)
  502. [3, 9, 9, 9] (9+9)-(3-9)
  503. [3, 9, 9, 10] 3*((9+9)-10)
  504. [3, 9, 10, 10] 3*(9-(10/10))
  505. [3, 10, 10, 10] None
  506. [4, 4, 4, 4] (4+4)+(4*4)
  507. [4, 4, 4, 5] 4*(5+(4/4))
  508. [4, 4, 4, 6] 6*((4+4)-4)
  509. [4, 4, 4, 7] (4+4)*(7-4)
  510. [4, 4, 4, 8] (4*8)-(4+4)
  511. [4, 4, 4, 9] 4-(4*(4-9))
  512. [4, 4, 4, 10] (4*10)-(4*4)
  513. [4, 4, 5, 5] (5*5)-(4/4)
  514. [4, 4, 5, 6] 6*(5-(4/4))
  515. [4, 4, 5, 7] 4*(7+(4-5))
  516. [4, 4, 5, 8] (4+4)*(8-5)
  517. [4, 4, 5, 9] None
  518. [4, 4, 5, 10] 4-(4*(5-10))
  519. [4, 4, 6, 6] None
  520. [4, 4, 6, 7] None
  521. [4, 4, 6, 8] 4*(8+(4-6))
  522. [4, 4, 6, 9] (4+4)*(9-6)
  523. [4, 4, 6, 10] (4+4)+(6+10)
  524. [4, 4, 7, 7] 7*(4-(4/7))
  525. [4, 4, 7, 8] (4*7)+(4-8)
  526. [4, 4, 7, 9] (4+4)+(7+9)
  527. [4, 4, 7, 10] (4+4)*(10-7)
  528. [4, 4, 8, 8] (4+4)+(8+8)
  529. [4, 4, 8, 9] (4*9)-(4+8)
  530. [4, 4, 8, 10] (4-8)*(4-10)
  531. [4, 4, 9, 9] None
  532. [4, 4, 9, 10] None
  533. [4, 4, 10, 10] ((10*10)-4)/4
  534. [4, 5, 5, 5] (4-5)+(5*5)
  535. [4, 5, 5, 6] 6*((4+5)-5)
  536. [4, 5, 5, 7] 4*(7-(5/5))
  537. [4, 5, 5, 8] 8*(4-(5/5))
  538. [4, 5, 5, 9] (4*5)-(5-9)
  539. [4, 5, 5, 10] (4+5)+(5+10)
  540. [4, 5, 6, 6] (4*6)*(6-5)
  541. [4, 5, 6, 7] 4*(7+(5-6))
  542. [4, 5, 6, 8] 8*((4+5)-6)
  543. [4, 5, 6, 9] (4+5)+(6+9)
  544. [4, 5, 6, 10] (4*5)-(6-10)
  545. [4, 5, 7, 7] (5*7)-(4+7)
  546. [4, 5, 7, 8] (4+5)+(7+8)
  547. [4, 5, 7, 9] 9-(5*(4-7))
  548. [4, 5, 7, 10] 4-(10*(5-7))
  549. [4, 5, 8, 8] 8*(5-(8/4))
  550. [4, 5, 8, 9] 4*(9+(5-8))
  551. [4, 5, 8, 10] (4+8)/(5/10)
  552. [4, 5, 9, 9] 4*(5+(9/9))
  553. [4, 5, 9, 10] (4-10)*(5-9)
  554. [4, 5, 10, 10] 4+(10/(5/10))
  555. [4, 6, 6, 6] 6*((4+6)-6)
  556. [4, 6, 6, 7] (4*6)*(7-6)
  557. [4, 6, 6, 8] (4+6)+(6+8)
  558. [4, 6, 6, 9] 6-(9*(4-6))
  559. [4, 6, 6, 10] (6+10)/(4/6)
  560. [4, 6, 7, 7] (4+6)+(7+7)
  561. [4, 6, 7, 8] 8*((4+6)-7)
  562. [4, 6, 7, 9] (7+9)/(4/6)
  563. [4, 6, 7, 10] 10-(7*(4-6))
  564. [4, 6, 8, 8] 8-(8*(4-6))
  565. [4, 6, 8, 9] (4*6)*(9-8)
  566. [4, 6, 8, 10] 4-(10*(6-8))
  567. [4, 6, 9, 9] (4*6)+(9-9)
  568. [4, 6, 9, 10] (4*6)*(10-9)
  569. [4, 6, 10, 10] (4*6)+(10-10)
  570. [4, 7, 7, 7] 4*(7-(7/7))
  571. [4, 7, 7, 8] 4*((7+7)-8)
  572. [4, 7, 7, 9] None
  573. [4, 7, 7, 10] None
  574. [4, 7, 8, 8] 8*((4+7)-8)
  575. [4, 7, 8, 9] (4+8)*(9-7)
  576. [4, 7, 8, 10] 10+(8/(4/7))
  577. [4, 7, 9, 9] 4*(7-(9/9))
  578. [4, 7, 9, 10] (4*10)-(7+9)
  579. [4, 7, 10, 10] 4*(7-(10/10))
  580. [4, 8, 8, 8] 8+(8/(4/8))
  581. [4, 8, 8, 9] 8*((4+8)-9)
  582. [4, 8, 8, 10] (4+8)*(10-8)
  583. [4, 8, 9, 9] 8*(4-(9/9))
  584. [4, 8, 9, 10] 8*((4+9)-10)
  585. [4, 8, 10, 10] (10+10)-(4-8)
  586. [4, 9, 9, 9] None
  587. [4, 9, 9, 10] (9+10)-(4-9)
  588. [4, 9, 10, 10] None
  589. [4, 10, 10, 10] None
  590. [5, 5, 5, 5] (5*5)-(5/5)
  591. [5, 5, 5, 6] (5*5)+(5-6)
  592. [5, 5, 5, 7] None
  593. [5, 5, 5, 8] None
  594. [5, 5, 5, 9] (5+5)+(5+9)
  595. [5, 5, 5, 10] None
  596. [5, 5, 6, 6] 6*((5+5)-6)
  597. [5, 5, 6, 7] (5*5)+(6-7)
  598. [5, 5, 6, 8] (5+5)+(6+8)
  599. [5, 5, 6, 9] None
  600. [5, 5, 6, 10] None
  601. [5, 5, 7, 7] (5+5)+(7+7)
  602. [5, 5, 7, 8] 8*((5+5)-7)
  603. [5, 5, 7, 9] None
  604. [5, 5, 7, 10] (5+7)/(5/10)
  605. [5, 5, 8, 8] (5*5)-(8/8)
  606. [5, 5, 8, 9] (5*5)+(8-9)
  607. [5, 5, 8, 10] (5+10)/(5/8)
  608. [5, 5, 9, 9] (5*5)-(9/9)
  609. [5, 5, 9, 10] (5*5)+(9-10)
  610. [5, 5, 10, 10] (5*5)-(10/10)
  611. [5, 6, 6, 6] 6*(5-(6/6))
  612. [5, 6, 6, 7] (5+6)+(6+7)
  613. [5, 6, 6, 8] 6-(6*(5-8))
  614. [5, 6, 6, 9] (6*9)-(5*6)
  615. [5, 6, 6, 10] (6+6)/(5/10)
  616. [5, 6, 7, 7] 6*(5-(7/7))
  617. [5, 6, 7, 8] (5+7)*(8-6)
  618. [5, 6, 7, 9] 6-(9*(5-7))
  619. [5, 6, 7, 10] None
  620. [5, 6, 8, 8] 8*((5+6)-8)
  621. [5, 6, 8, 9] 6*((5+8)-9)
  622. [5, 6, 8, 10] (5*6)*(8/10)
  623. [5, 6, 9, 9] 9-(5*(6-9))
  624. [5, 6, 9, 10] 6*((5+9)-10)
  625. [5, 6, 10, 10] (10+10)/(5/6)
  626. [5, 7, 7, 7] None
  627. [5, 7, 7, 8] None
  628. [5, 7, 7, 9] (5+7)*(9-7)
  629. [5, 7, 7, 10] 10-(7*(5-7))
  630. [5, 7, 8, 8] 8-(8*(5-7))
  631. [5, 7, 8, 9] 8*((5+7)-9)
  632. [5, 7, 8, 10] (5+7)*(10-8)
  633. [5, 7, 9, 9] None
  634. [5, 7, 9, 10] 9-(5*(7-10))
  635. [5, 7, 10, 10] 10+(10/(5/7))
  636. [5, 8, 8, 8] (5*8)-(8+8)
  637. [5, 8, 8, 9] (8*9)/(8-5)
  638. [5, 8, 8, 10] 8*((5+8)-10)
  639. [5, 8, 9, 9] None
  640. [5, 8, 9, 10] None
  641. [5, 8, 10, 10] None
  642. [5, 9, 9, 9] None
  643. [5, 9, 9, 10] None
  644. [5, 9, 10, 10] (10+10)-(5-9)
  645. [5, 10, 10, 10] None
  646. [6, 6, 6, 6] (6+6)+(6+6)
  647. [6, 6, 6, 7] None
  648. [6, 6, 6, 8] (6+6)*(8-6)
  649. [6, 6, 6, 9] (6*6)*(6/9)
  650. [6, 6, 6, 10] (6*10)-(6*6)
  651. [6, 6, 7, 7] None
  652. [6, 6, 7, 8] None
  653. [6, 6, 7, 9] (6+6)*(9-7)
  654. [6, 6, 7, 10] 6-(6*(7-10))
  655. [6, 6, 8, 8] (6*8)/(8-6)
  656. [6, 6, 8, 9] 8*((6+6)-9)
  657. [6, 6, 8, 10] (6+6)*(10-8)
  658. [6, 6, 9, 9] None
  659. [6, 6, 9, 10] (6+10)/(6/9)
  660. [6, 6, 10, 10] None
  661. [6, 7, 7, 7] None
  662. [6, 7, 7, 8] None
  663. [6, 7, 7, 9] None
  664. [6, 7, 7, 10] 6*((7+7)-10)
  665. [6, 7, 8, 8] None
  666. [6, 7, 8, 9] (6*8)/(9-7)
  667. [6, 7, 8, 10] 8*((6+7)-10)
  668. [6, 7, 9, 9] (6*7)-(9+9)
  669. [6, 7, 9, 10] None
  670. [6, 7, 10, 10] (10*(10-7))-6
  671. [6, 8, 8, 8] 8-(8*(6-8))
  672. [6, 8, 8, 9] (8*9)-(6*8)
  673. [6, 8, 8, 10] (6*8)/(10-8)
  674. [6, 8, 9, 9] (9+9)/(6/8)
  675. [6, 8, 9, 10] 6-(9*(8-10))
  676. [6, 8, 10, 10] None
  677. [6, 9, 9, 9] None
  678. [6, 9, 9, 10] 9+(10/(6/9))
  679. [6, 9, 10, 10] None
  680. [6, 10, 10, 10] (10+10)-(6-10)
  681. [7, 7, 7, 7] None
  682. [7, 7, 7, 8] None
  683. [7, 7, 7, 9] None
  684. [7, 7, 7, 10] None
  685. [7, 7, 8, 8] None
  686. [7, 7, 8, 9] None
  687. [7, 7, 8, 10] None
  688. [7, 7, 9, 9] None
  689. [7, 7, 9, 10] 10-(7*(7-9))
  690. [7, 7, 10, 10] None
  691. [7, 8, 8, 8] None
  692. [7, 8, 8, 9] 8-(8*(7-9))
  693. [7, 8, 8, 10] (8*10)-(7*8)
  694. [7, 8, 9, 9] None
  695. [7, 8, 9, 10] (8*9)/(10-7)
  696. [7, 8, 10, 10] 10-(7*(8-10))
  697. [7, 9, 9, 9] None
  698. [7, 9, 9, 10] None
  699. [7, 9, 10, 10] None
  700. [7, 10, 10, 10] None
  701. [8, 8, 8, 8] None
  702. [8, 8, 8, 9] None
  703. [8, 8, 8, 10] 8-(8*(8-10))
  704. [8, 8, 9, 9] None
  705. [8, 8, 9, 10] None
  706. [8, 8, 10, 10] None
  707. [8, 9, 9, 9] None
  708. [8, 9, 9, 10] None
  709. [8, 9, 10, 10] None
  710. [8, 10, 10, 10] None
  711. [9, 9, 9, 9] None
  712. [9, 9, 9, 10] None
  713. [9, 9, 10, 10] None
  714. [9, 10, 10, 10] None
  715. [10, 10, 10, 10] None
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发表于 2020-7-9 16:54:31 | 显示全部楼层
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