牛bi要挑大的吹，否则看帖的人没几个。
做了LeetCode，做是能做（并且雷同的题目很多），也有执行速度好的（击败90%的），也有很尽力，结果却是击败了5.59%的用户。。。所以这个标题纯属吹牛。。。
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=9126（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)
至于手动排列组合函数（实现了iterator），由于参数多，既可以排列，又可以组合，也可以四张牌(1-10的全组合），自己写的函数就是这么方便。。。
def P(n,c, repeat=False,com=0,limit=0,per=[]): for pos in range(limit,n): t = per + [pos] if repeat or len(set(t)) == len(t): if len(t) == c: yield [pos,] else: for result in P(n,c,repeat,com,com*pos, per + [pos,]): yield [pos,] + result def get_formula(l0): for r in res[4-len(l0)]: for o in operator: formula = '(%s%s%s)' % (l0[r[0]],o,l0[r[1]]) if len(l0) == 2: try: if abs(eval(formula)-24)<0.1: return '%s%s%s' % (l0[r[0]],o,l0[r[1]]) except: pass else: l1 = [l0[x] for x in range(len(l0)) if not(x in r)] + [formula] f = get_formula(l1) if f != None: return f return None res = ([r for r in P(4,2)],[r for r in P(3,2)],[r for r in P(2,2)]) operator = ('+','-','*','/') for r0 in P(11,4,True,1,1): print(r0,get_formula([str(r) for r in r0]))
结果（もちろん算无遗策）(之前就打了两个结果，算了一共就几百个，全部打印吧：None就是无法达成24点计算)：
[1, 1, 1, 1] None
[1, 1, 1, 2] None
[1, 1, 1, 3] None
[1, 1, 1, 4] None
[1, 1, 1, 5] None
[1, 1, 1, 6] None
[1, 1, 1, 7] None
[1, 1, 1, 8] 8*(1+(1+1))
[1, 1, 1, 9] None
[1, 1, 1, 10] None
[1, 1, 2, 2] None
[1, 1, 2, 3] None
[1, 1, 2, 4] None
[1, 1, 2, 5] None
[1, 1, 2, 6] (1+1)*(2*6)
[1, 1, 2, 7] (1+2)*(1+7)
[1, 1, 2, 8] 8*(2+(1*1))
[1, 1, 2, 9] (1+2)*(9-1)
[1, 1, 2, 10] (1+1)*(2+10)
[1, 1, 3, 3] None
[1, 1, 3, 4] (1+1)*(3*4)
[1, 1, 3, 5] (1+3)*(1+5)
[1, 1, 3, 6] 3*(6+(1+1))
[1, 1, 3, 7] 3*(7+(1*1))
[1, 1, 3, 8] (1-1)+(3*8)
[1, 1, 3, 9] (1+1)*(3+9)
[1, 1, 3, 10] 3*(10-(1+1))
[1, 1, 4, 4] 4*(4+(1+1))
[1, 1, 4, 5] 4*(5+(1*1))
[1, 1, 4, 6] (1-1)+(4*6)
[1, 1, 4, 7] 4*(7-(1*1))
[1, 1, 4, 8] (1+1)*(4+8)
[1, 1, 4, 9] (1-4)*(1-9)
[1, 1, 4, 10] 4+(10*(1+1))
[1, 1, 5, 5] (5*5)-(1*1)
[1, 1, 5, 6] 6*(5-(1*1))
[1, 1, 5, 7] (1+1)*(5+7)
[1, 1, 5, 8] 8*(5-(1+1))
[1, 1, 5, 9] None
[1, 1, 5, 10] None
[1, 1, 6, 6] (1+1)*(6+6)
[1, 1, 6, 7] None
[1, 1, 6, 8] (6*8)/(1+1)
[1, 1, 6, 9] 6+(9*(1+1))
[1, 1, 6, 10] None
[1, 1, 7, 7] None
[1, 1, 7, 8] None
[1, 1, 7, 9] None
[1, 1, 7, 10] 10+(7*(1+1))
[1, 1, 8, 8] 8+(8*(1+1))
[1, 1, 8, 9] None
[1, 1, 8, 10] None
[1, 1, 9, 9] None
[1, 1, 9, 10] None
[1, 1, 10, 10] None
[1, 2, 2, 2] None
[1, 2, 2, 3] None
[1, 2, 2, 4] (1+2)*(2*4)
[1, 2, 2, 5] (1+5)*(2+2)
[1, 2, 2, 6] (1+2)*(2+6)
[1, 2, 2, 7] (2+2)*(7-1)
[1, 2, 2, 8] 8*(2-(1-2))
[1, 2, 2, 9] 2*(9+(1+2))
[1, 2, 2, 10] (1+2)*(10-2)
[1, 2, 3, 3] (1+3)*(2*3)
[1, 2, 3, 4] 4*(3+(1+2))
[1, 2, 3, 5] (1+2)*(3+5)
[1, 2, 3, 6] 6*(3-(1-2))
[1, 2, 3, 7] (1+2)+(3*7)
[1, 2, 3, 8] (1+3)*(8-2)
[1, 2, 3, 9] (3*9)-(1+2)
[1, 2, 3, 10] 3*(10-(1*2))
[1, 2, 4, 4] (1+2)*(4+4)
[1, 2, 4, 5] 4*(5-(1-2))
[1, 2, 4, 6] (2-1)*(4*6)
[1, 2, 4, 7] 4*(7+(1-2))
[1, 2, 4, 8] 8*(4+(1-2))
[1, 2, 4, 9] 4*(9-(1+2))
[1, 2, 4, 10] 4+(10*(1*2))
[1, 2, 5, 5] (1-2)+(5*5)
[1, 2, 5, 6] 6*(5+(1-2))
[1, 2, 5, 7] (1*2)*(5+7)
[1, 2, 5, 8] 8*(5-(1*2))
[1, 2, 5, 9] 9+(5*(1+2))
[1, 2, 5, 10] (2*10)-(1-5)
[1, 2, 6, 6] 6+(6*(1+2))
[1, 2, 6, 7] 6*(7-(1+2))
[1, 2, 6, 8] 8*(6-(1+2))
[1, 2, 6, 9] 6+(9*(1*2))
[1, 2, 6, 10] (10*(1+2))-6
[1, 2, 7, 7] ((7*7)-1)/2
[1, 2, 7, 8] (1+7)+(2*8)
[1, 2, 7, 9] (2*9)-(1-7)
[1, 2, 7, 10] 10+(7*(1*2))
[1, 2, 8, 8] 8+(8*(1*2))
[1, 2, 8, 9] (8*9)/(1+2)
[1, 2, 8, 10] 10-(2*(1-8))
[1, 2, 9, 9] None
[1, 2, 9, 10] None
[1, 2, 10, 10] None
[1, 3, 3, 3] (1+3)*(3+3)
[1, 3, 3, 4] 3*(4+(1+3))
[1, 3, 3, 5] (1*3)*(3+5)
[1, 3, 3, 6] 3*(6-(1-3))
[1, 3, 3, 7] (1*3)+(3*7)
[1, 3, 3, 8] (3*(1+8))-3
[1, 3, 3, 9] (1+3)*(9-3)
[1, 3, 3, 10] 3*(10+(1-3))
[1, 3, 4, 4] 4*(4-(1-3))
[1, 3, 4, 5] (1+3)+(4*5)
[1, 3, 4, 6] 6/(1-(3/4))
[1, 3, 4, 7] (4*7)-(1+3)
[1, 3, 4, 8] 8+(4*(1+3))
[1, 3, 4, 9] 4*(9-(1*3))
[1, 3, 4, 10] (1+3)*(10-4)
[1, 3, 5, 5] None
[1, 3, 5, 6] (1+5)+(3*6)
[1, 3, 5, 7] (1+5)*(7-3)
[1, 3, 5, 8] 8*(5+(1-3))
[1, 3, 5, 9] 9+(5*(1*3))
[1, 3, 5, 10] (3*10)-(1+5)
[1, 3, 6, 6] 6*(6+(1-3))
[1, 3, 6, 7] 6*(7-(1*3))
[1, 3, 6, 8] 6*(8-(1+3))
[1, 3, 6, 9] 6-(9*(1-3))
[1, 3, 6, 10] (10*(1*3))-6
[1, 3, 7, 7] (1-7)*(3-7)
[1, 3, 7, 8] 8*(7-(1+3))
[1, 3, 7, 9] (1+7)/(3/9)
[1, 3, 7, 10] 10-(7*(1-3))
[1, 3, 8, 8] (8*(1+3))-8
[1, 3, 8, 9] (8*9)/(1*3)
[1, 3, 8, 10] (10-1)/(3/8)
[1, 3, 9, 9] (9-1)/(3/9)
[1, 3, 9, 10] (3*(1+10))-9
[1, 3, 10, 10] (1+3)+(10+10)
[1, 4, 4, 4] 4+(4*(1+4))
[1, 4, 4, 5] (1*4)+(4*5)
[1, 4, 4, 6] (4*(1+6))-4
[1, 4, 4, 7] (4*7)-(1*4)
[1, 4, 4, 8] 8+(4*(1*4))
[1, 4, 4, 9] 4*(9+(1-4))
[1, 4, 4, 10] (1*4)*(10-4)
[1, 4, 5, 5] (4*5)-(1-5)
[1, 4, 5, 6] 6/((5/4)-1)
[1, 4, 5, 7] (1-5)+(4*7)
[1, 4, 5, 8] (1+5)*(8-4)
[1, 4, 5, 9] 9-(5*(1-4))
[1, 4, 5, 10] (1-5)*(4-10)
[1, 4, 6, 6] (6*(1+4))-6
[1, 4, 6, 7] 6*(7+(1-4))
[1, 4, 6, 8] 8*(6+(1-4))
[1, 4, 6, 9] 6*(9-(1+4))
[1, 4, 6, 10] (10*(4-1))-6
[1, 4, 7, 7] (1+7)*(7-4)
[1, 4, 7, 8] 8*(7-(1*4))
[1, 4, 7, 9] (1-9)*(4-7)
[1, 4, 7, 10] None
[1, 4, 8, 8] 8*(8-(1+4))
[1, 4, 8, 9] (1-9)+(4*8)
[1, 4, 8, 10] None
[1, 4, 9, 9] None
[1, 4, 9, 10] (1+4)+(9+10)
[1, 4, 10, 10] (1*4)+(10+10)
[1, 5, 5, 5] 5*(5-(1/5))
[1, 5, 5, 6] (5*6)-(1+5)
[1, 5, 5, 7] None
[1, 5, 5, 8] None
[1, 5, 5, 9] (1+5)*(9-5)
[1, 5, 5, 10] (5*(10-5))-1
[1, 5, 6, 6] (6*(1*5))-6
[1, 5, 6, 7] (1-7)+(5*6)
[1, 5, 6, 8] 6*(8+(1-5))
[1, 5, 6, 9] 6*(9-(1*5))
[1, 5, 6, 10] (1+5)*(10-6)
[1, 5, 7, 7] None
[1, 5, 7, 8] 8*(7+(1-5))
[1, 5, 7, 9] (1-7)*(5-9)
[1, 5, 7, 10] (5*7)-(1+10)
[1, 5, 8, 8] 8*(8-(1*5))
[1, 5, 8, 9] 8*(9-(1+5))
[1, 5, 8, 10] (1+5)+(8+10)
[1, 5, 9, 9] (1+5)+(9+9)
[1, 5, 9, 10] (1*5)+(9+10)
[1, 5, 10, 10] (10+10)-(1-5)
[1, 6, 6, 6] (6*(6-1))-6
[1, 6, 6, 7] None
[1, 6, 6, 8] 6/(1-(6/8))
[1, 6, 6, 9] 6*(9+(1-6))
[1, 6, 6, 10] (1*6)*(10-6)
[1, 6, 7, 7] None
[1, 6, 7, 8] None
[1, 6, 7, 9] (1+7)*(9-6)
[1, 6, 7, 10] (1+6)+(7+10)
[1, 6, 8, 8] 8*(8+(1-6))
[1, 6, 8, 9] (1+6)+(8+9)
[1, 6, 8, 10] 8*(10-(1+6))
[1, 6, 9, 9] (1*6)+(9+9)
[1, 6, 9, 10] (9+10)-(1-6)
[1, 6, 10, 10] None
[1, 7, 7, 7] None
[1, 7, 7, 8] None
[1, 7, 7, 9] (1+7)+(7+9)
[1, 7, 7, 10] (1+7)*(10-7)
[1, 7, 8, 8] (1+7)+(8+8)
[1, 7, 8, 9] 8*(9+(1-7))
[1, 7, 8, 10] (8+10)-(1-7)
[1, 7, 9, 9] (9+9)-(1-7)
[1, 7, 9, 10] (1-9)*(7-10)
[1, 7, 10, 10] None
[1, 8, 8, 8] (1*8)+(8+8)
[1, 8, 8, 9] (8+9)-(1-8)
[1, 8, 8, 10] 8*(10+(1-8))
[1, 8, 9, 9] None
[1, 8, 9, 10] None
[1, 8, 10, 10] None
[1, 9, 9, 9] None
[1, 9, 9, 10] None
[1, 9, 10, 10] None
[1, 10, 10, 10] None
[2, 2, 2, 2] None
[2, 2, 2, 3] (2+2)*(2*3)
[2, 2, 2, 4] (2+2)*(2+4)
[2, 2, 2, 5] 2*(2+(2*5))
[2, 2, 2, 6] None
[2, 2, 2, 7] 2*((2*7)-2)
[2, 2, 2, 8] (2+2)*(8-2)
[2, 2, 2, 9] 2+(2*(2+9))
[2, 2, 2, 10] (2+2)+(2*10)
[2, 2, 3, 3] (2+2)*(3+3)
[2, 2, 3, 4] 3*(4+(2+2))
[2, 2, 3, 5] 3*((2*5)-2)
[2, 2, 3, 6] 6*(3+(2/2))
[2, 2, 3, 7] 3*(7+(2/2))
[2, 2, 3, 8] (2-2)+(3*8)
[2, 2, 3, 9] (2+2)*(9-3)
[2, 2, 3, 10] (2*(3+10))-2
[2, 2, 4, 4] 2*(4+(2*4))
[2, 2, 4, 5] (2+2)+(4*5)
[2, 2, 4, 6] (2-2)+(4*6)
[2, 2, 4, 7] (4*7)-(2+2)
[2, 2, 4, 8] 8+(4*(2+2))
[2, 2, 4, 9] (2+4)+(2*9)
[2, 2, 4, 10] (2+2)*(10-4)
[2, 2, 5, 5] (5*5)-(2/2)
[2, 2, 5, 6] 6*(5-(2/2))
[2, 2, 5, 7] (2*5)+(2*7)
[2, 2, 5, 8] (2*(5+8))-2
[2, 2, 5, 9] 2*(9-(2-5))
[2, 2, 5, 10] 10+(2*(2+5))
[2, 2, 6, 6] (2+6)/(2/6)
[2, 2, 6, 7] 6+(2*(2+7))
[2, 2, 6, 8] 6*(8-(2+2))
[2, 2, 6, 9] 2*((2*9)-6)
[2, 2, 6, 10] (2*10)-(2-6)
[2, 2, 7, 7] 2*(7-(2-7))
[2, 2, 7, 8] 8*(7-(2+2))
[2, 2, 7, 9] None
[2, 2, 7, 10] 2*(7+(10/2))
[2, 2, 8, 8] (8*(2+2))-8
[2, 2, 8, 9] (2*9)-(2-8)
[2, 2, 8, 10] (2*8)-(2-10)
[2, 2, 9, 9] None
[2, 2, 9, 10] 10-(2*(2-9))
[2, 2, 10, 10] (2+2)+(10+10)
[2, 3, 3, 3] 3*(3+(2+3))
[2, 3, 3, 4] None
[2, 3, 3, 5] 3+(3*(2+5))
[2, 3, 3, 6] 6*(3-(2-3))
[2, 3, 3, 7] 3*(7-(2-3))
[2, 3, 3, 8] 8*((2*3)-3)
[2, 3, 3, 9] 9+(3*(2+3))
[2, 3, 3, 10] (3*10)-(2*3)
[2, 3, 4, 4] 4+(4*(2+3))
[2, 3, 4, 5] 4*(5-(2-3))
[2, 3, 4, 6] (2+4)+(3*6)
[2, 3, 4, 7] 4*(7+(2-3))
[2, 3, 4, 8] 8*(4+(2-3))
[2, 3, 4, 9] (2/3)*(4*9)
[2, 3, 4, 10] (3*10)-(2+4)
[2, 3, 5, 5] (2-3)+(5*5)
[2, 3, 5, 6] 6*(5+(2-3))
[2, 3, 5, 7] (3*7)-(2-5)
[2, 3, 5, 8] (2*8)+(3+5)
[2, 3, 5, 9] (2*3)*(9-5)
[2, 3, 5, 10] (2+10)*(5-3)
[2, 3, 6, 6] (6*(2+3))-6
[2, 3, 6, 7] 3+(7/(2/6))
[2, 3, 6, 8] (3*(2+8))-6
[2, 3, 6, 9] 6*(9-(2+3))
[2, 3, 6, 10] (2*3)*(10-6)
[2, 3, 7, 7] (2*7)+(3+7)
[2, 3, 7, 8] (2+7)/(3/8)
[2, 3, 7, 9] (7+9)/(2/3)
[2, 3, 7, 10] (2*10)-(3-7)
[2, 3, 8, 8] 8*(8-(2+3))
[2, 3, 8, 9] 8*(9-(2*3))
[2, 3, 8, 10] (2*3)+(8+10)
[2, 3, 9, 9] (2*3)+(9+9)
[2, 3, 9, 10] (2+3)+(9+10)
[2, 3, 10, 10] 10-(2*(3-10))
[2, 4, 4, 4] 4*(4-(2-4))
[2, 4, 4, 5] (4*(2+5))-4
[2, 4, 4, 6] 6*((2*4)-4)
[2, 4, 4, 7] (2*4)*(7-4)
[2, 4, 4, 8] (2+4)*(8-4)
[2, 4, 4, 9] (4*(9-2))-4
[2, 4, 4, 10] 4-(10*(2-4))
[2, 4, 5, 5] 4+(2*(5+5))
[2, 4, 5, 6] (5*6)-(2+4)
[2, 4, 5, 7] (5+7)/(2/4)
[2, 4, 5, 8] 8*(5+(2-4))
[2, 4, 5, 9] (2+4)*(9-5)
[2, 4, 5, 10] (2*5)+(4+10)
[2, 4, 6, 6] 6*(6+(2-4))
[2, 4, 6, 7] (2+6)*(7-4)
[2, 4, 6, 8] (2/4)*(6*8)
[2, 4, 6, 9] 6-(9*(2-4))
[2, 4, 6, 10] (2+4)*(10-6)
[2, 4, 7, 7] (2*(7+7))-4
[2, 4, 7, 8] 4*((2*7)-8)
[2, 4, 7, 9] (2*4)+(7+9)
[2, 4, 7, 10] 10-(7*(2-4))
[2, 4, 8, 8] 8-(8*(2-4))
[2, 4, 8, 9] 8*(9-(2+4))
[2, 4, 8, 10] (2+4)+(8+10)
[2, 4, 9, 9] (2+4)+(9+9)
[2, 4, 9, 10] (2*9)-(4-10)
[2, 4, 10, 10] 10*(2+(4/10))
[2, 5, 5, 5] None
[2, 5, 5, 6] None
[2, 5, 5, 7] (2*7)+(5+5)
[2, 5, 5, 8] 8*(2+(5/5))
[2, 5, 5, 9] 9-(5*(2-5))
[2, 5, 5, 10] 5*(5-(2/10))
[2, 5, 6, 6] 6-(6*(2-5))
[2, 5, 6, 7] 6*(7+(2-5))
[2, 5, 6, 8] 8*(6+(2-5))
[2, 5, 6, 9] 9+(6/(2/5))
[2, 5, 6, 10] (2/5)*(6*10)
[2, 5, 7, 7] (2*5)+(7+7)
[2, 5, 7, 8] 8*((2*5)-7)
[2, 5, 7, 9] (5*7)-(2+9)
[2, 5, 7, 10] (2+5)+(7+10)
[2, 5, 8, 8] (5*8)-(2*8)
[2, 5, 8, 9] (2+5)+(8+9)
[2, 5, 8, 10] 8*(10-(2+5))
[2, 5, 9, 9] None
[2, 5, 9, 10] (2*10)-(5-9)
[2, 5, 10, 10] (2+10)/(5/10)
[2, 6, 6, 6] (2*6)+(6+6)
[2, 6, 6, 7] 6*(7-(6/2))
[2, 6, 6, 8] 6*(8+(2-6))
[2, 6, 6, 9] (2+6)*(9-6)
[2, 6, 6, 10] (2+6)+(6+10)
[2, 6, 7, 7] None
[2, 6, 7, 8] 8*(7+(2-6))
[2, 6, 7, 9] (2+6)+(7+9)
[2, 6, 7, 10] (2+6)*(10-7)
[2, 6, 8, 8] (2+6)+(8+8)
[2, 6, 8, 9] 8*((2*6)-9)
[2, 6, 8, 10] (2*6)*(10-8)
[2, 6, 9, 9] 2*(9-(6-9))
[2, 6, 9, 10] (2-10)*(6-9)
[2, 6, 10, 10] (10+10)-(2-6)
[2, 7, 7, 7] None
[2, 7, 7, 8] (2+7)+(7+8)
[2, 7, 7, 9] None
[2, 7, 7, 10] 7*(2+(10/7))
[2, 7, 8, 8] 8*(8+(2-7))
[2, 7, 8, 9] (2*(7+9))-8
[2, 7, 8, 10] None
[2, 7, 9, 9] None
[2, 7, 9, 10] (9+10)-(2-7)
[2, 7, 10, 10] (2-10)*(7-10)
[2, 8, 8, 8] (8/(2/8))-8
[2, 8, 8, 9] 8*(9+(2-8))
[2, 8, 8, 10] (8+10)-(2-8)
[2, 8, 9, 9] (9+9)-(2-8)
[2, 8, 9, 10] 8*(10+(2-9))
[2, 8, 10, 10] (2+10)*(10-8)
[2, 9, 9, 9] None
[2, 9, 9, 10] None
[2, 9, 10, 10] (9+10)+(10/2)
[2, 10, 10, 10] None
[3, 3, 3, 3] (3*(3*3))-3
[3, 3, 3, 4] 4*((3*3)-3)
[3, 3, 3, 5] (3*3)+(3*5)
[3, 3, 3, 6] (3+3)+(3*6)
[3, 3, 3, 7] (3+3)*(7-3)
[3, 3, 3, 8] 8*((3+3)-3)
[3, 3, 3, 9] 3*(9-(3/3))
[3, 3, 3, 10] (3*10)-(3+3)
[3, 3, 4, 4] (3*4)+(3*4)
[3, 3, 4, 5] 4*(5+(3/3))
[3, 3, 4, 6] (3-3)+(4*6)
[3, 3, 4, 7] 4*(7-(3/3))
[3, 3, 4, 8] (3+3)*(8-4)
[3, 3, 4, 9] 3*(9+(3-4))
[3, 3, 4, 10] None
[3, 3, 5, 5] (5*5)-(3/3)
[3, 3, 5, 6] (5*6)-(3+3)
[3, 3, 5, 7] 3*((3*5)-7)
[3, 3, 5, 8] None
[3, 3, 5, 9] (3+3)*(9-5)
[3, 3, 5, 10] (3*3)+(5+10)
[3, 3, 6, 6] 3*(6+(6/3))
[3, 3, 6, 7] (3*7)-(3-6)
[3, 3, 6, 8] 8*((3*3)-6)
[3, 3, 6, 9] (3*3)+(6+9)
[3, 3, 6, 10] (3+3)*(10-6)
[3, 3, 7, 7] 7*(3+(3/7))
[3, 3, 7, 8] (3*3)+(7+8)
[3, 3, 7, 9] (3-7)*(3-9)
[3, 3, 7, 10] None
[3, 3, 8, 8] 8/(3-(8/3))
[3, 3, 8, 9] 8*(9-(3+3))
[3, 3, 8, 10] (3+3)+(8+10)
[3, 3, 9, 9] (3+3)+(9+9)
[3, 3, 9, 10] (3-9)+(3*10)
[3, 3, 10, 10] None
[3, 4, 4, 4] (4*(3+4))-4
[3, 4, 4, 5] 4*(5-(3-4))
[3, 4, 4, 6] (3*4)*(6-4)
[3, 4, 4, 7] 4*(7+(3-4))
[3, 4, 4, 8] 8*((3+4)-4)
[3, 4, 4, 9] (4*9)-(3*4)
[3, 4, 4, 10] (4*(10-3))-4
[3, 4, 5, 5] (3-4)+(5*5)
[3, 4, 5, 6] 6*(5+(3-4))
[3, 4, 5, 7] (3*4)+(5+7)
[3, 4, 5, 8] (4*8)-(3+5)
[3, 4, 5, 9] 4*((3*5)-9)
[3, 4, 5, 10] (3*4)/(5/10)
[3, 4, 6, 6] (3*4)+(6+6)
[3, 4, 6, 7] None
[3, 4, 6, 8] (3*4)*(8-6)
[3, 4, 6, 9] 4*(9+(3-6))
[3, 4, 6, 10] (3*6)-(4-10)
[3, 4, 7, 7] (3-7)+(4*7)
[3, 4, 7, 8] 8-(4*(3-7))
[3, 4, 7, 9] (3*4)*(9-7)
[3, 4, 7, 10] (3+4)+(7+10)
[3, 4, 8, 8] None
[3, 4, 8, 9] (3+4)+(8+9)
[3, 4, 8, 10] 8*(10-(3+4))
[3, 4, 9, 9] (9+9)/(3/4)
[3, 4, 9, 10] None
[3, 4, 10, 10] (3*10)+(4-10)
[3, 5, 5, 5] None
[3, 5, 5, 6] (3*(5+5))-6
[3, 5, 5, 7] (5-3)*(5+7)
[3, 5, 5, 8] (3+5)*(8-5)
[3, 5, 5, 9] 3*(9-(5/5))
[3, 5, 5, 10] None
[3, 5, 6, 6] 6*(6+(3-5))
[3, 5, 6, 7] (5+7)/(3/6)
[3, 5, 6, 8] (3*8)*(6-5)
[3, 5, 6, 9] (3+5)*(9-6)
[3, 5, 6, 10] (3+5)+(6+10)
[3, 5, 7, 7] None
[3, 5, 7, 8] (3*7)-(5-8)
[3, 5, 7, 9] (3+5)+(7+9)
[3, 5, 7, 10] (3+5)*(10-7)
[3, 5, 8, 8] (3+5)+(8+8)
[3, 5, 8, 9] (3*9)+(5-8)
[3, 5, 8, 10] None
[3, 5, 9, 9] 9+(9/(3/5))
[3, 5, 9, 10] (3+9)/(5/10)
[3, 5, 10, 10] 3*(10-(10/5))
[3, 6, 6, 6] 6-(6*(3-6))
[3, 6, 6, 7] 6*(7+(3-6))
[3, 6, 6, 8] 8*((3+6)-6)
[3, 6, 6, 9] (3+6)+(6+9)
[3, 6, 6, 10] (10*(6-3))-6
[3, 6, 7, 7] 3*(7-(6-7))
[3, 6, 7, 8] (3+6)+(7+8)
[3, 6, 7, 9] (3*7)-(6-9)
[3, 6, 7, 10] 10+(7/(3/6))
[3, 6, 8, 8] 8+(8/(3/6))
[3, 6, 8, 9] 6*(9+(3-8))
[3, 6, 8, 10] 3*(10+(6-8))
[3, 6, 9, 9] (3*9)+(6-9)
[3, 6, 9, 10] (3-9)*(6-10)
[3, 6, 10, 10] 10*(3-(6/10))
[3, 7, 7, 7] (3+7)+(7+7)
[3, 7, 7, 8] 8*((3+7)-7)
[3, 7, 7, 9] 3*(9-(7/7))
[3, 7, 7, 10] (3*7)-(7-10)
[3, 7, 8, 8] (3*8)*(8-7)
[3, 7, 8, 9] 3*(9+(7-8))
[3, 7, 8, 10] None
[3, 7, 9, 9] (3+9)*(9-7)
[3, 7, 9, 10] (3*9)+(7-10)
[3, 7, 10, 10] (10+10)-(3-7)
[3, 8, 8, 8] 8*((3+8)-8)
[3, 8, 8, 9] (3*8)*(9-8)
[3, 8, 8, 10] ((8*10)-8)/3
[3, 8, 9, 9] (3*8)+(9-9)
[3, 8, 9, 10] (9+10)-(3-8)
[3, 8, 10, 10] (3*8)+(10-10)
[3, 9, 9, 9] (9+9)-(3-9)
[3, 9, 9, 10] 3*((9+9)-10)
[3, 9, 10, 10] 3*(9-(10/10))
[3, 10, 10, 10] None
[4, 4, 4, 4] (4+4)+(4*4)
[4, 4, 4, 5] 4*(5+(4/4))
[4, 4, 4, 6] 6*((4+4)-4)
[4, 4, 4, 7] (4+4)*(7-4)
[4, 4, 4, 8] (4*8)-(4+4)
[4, 4, 4, 9] 4-(4*(4-9))
[4, 4, 4, 10] (4*10)-(4*4)
[4, 4, 5, 5] (5*5)-(4/4)
[4, 4, 5, 6] 6*(5-(4/4))
[4, 4, 5, 7] 4*(7+(4-5))
[4, 4, 5, 8] (4+4)*(8-5)
[4, 4, 5, 9] None
[4, 4, 5, 10] 4-(4*(5-10))
[4, 4, 6, 6] None
[4, 4, 6, 7] None
[4, 4, 6, 8] 4*(8+(4-6))
[4, 4, 6, 9] (4+4)*(9-6)
[4, 4, 6, 10] (4+4)+(6+10)
[4, 4, 7, 7] 7*(4-(4/7))
[4, 4, 7, 8] (4*7)+(4-8)
[4, 4, 7, 9] (4+4)+(7+9)
[4, 4, 7, 10] (4+4)*(10-7)
[4, 4, 8, 8] (4+4)+(8+8)
[4, 4, 8, 9] (4*9)-(4+8)
[4, 4, 8, 10] (4-8)*(4-10)
[4, 4, 9, 9] None
[4, 4, 9, 10] None
[4, 4, 10, 10] ((10*10)-4)/4
[4, 5, 5, 5] (4-5)+(5*5)
[4, 5, 5, 6] 6*((4+5)-5)
[4, 5, 5, 7] 4*(7-(5/5))
[4, 5, 5, 8] 8*(4-(5/5))
[4, 5, 5, 9] (4*5)-(5-9)
[4, 5, 5, 10] (4+5)+(5+10)
[4, 5, 6, 6] (4*6)*(6-5)
[4, 5, 6, 7] 4*(7+(5-6))
[4, 5, 6, 8] 8*((4+5)-6)
[4, 5, 6, 9] (4+5)+(6+9)
[4, 5, 6, 10] (4*5)-(6-10)
[4, 5, 7, 7] (5*7)-(4+7)
[4, 5, 7, 8] (4+5)+(7+8)
[4, 5, 7, 9] 9-(5*(4-7))
[4, 5, 7, 10] 4-(10*(5-7))
[4, 5, 8, 8] 8*(5-(8/4))
[4, 5, 8, 9] 4*(9+(5-8))
[4, 5, 8, 10] (4+8)/(5/10)
[4, 5, 9, 9] 4*(5+(9/9))
[4, 5, 9, 10] (4-10)*(5-9)
[4, 5, 10, 10] 4+(10/(5/10))
[4, 6, 6, 6] 6*((4+6)-6)
[4, 6, 6, 7] (4*6)*(7-6)
[4, 6, 6, 8] (4+6)+(6+8)
[4, 6, 6, 9] 6-(9*(4-6))
[4, 6, 6, 10] (6+10)/(4/6)
[4, 6, 7, 7] (4+6)+(7+7)
[4, 6, 7, 8] 8*((4+6)-7)
[4, 6, 7, 9] (7+9)/(4/6)
[4, 6, 7, 10] 10-(7*(4-6))
[4, 6, 8, 8] 8-(8*(4-6))
[4, 6, 8, 9] (4*6)*(9-8)
[4, 6, 8, 10] 4-(10*(6-8))
[4, 6, 9, 9] (4*6)+(9-9)
[4, 6, 9, 10] (4*6)*(10-9)
[4, 6, 10, 10] (4*6)+(10-10)
[4, 7, 7, 7] 4*(7-(7/7))
[4, 7, 7, 8] 4*((7+7)-8)
[4, 7, 7, 9] None
[4, 7, 7, 10] None
[4, 7, 8, 8] 8*((4+7)-8)
[4, 7, 8, 9] (4+8)*(9-7)
[4, 7, 8, 10] 10+(8/(4/7))
[4, 7, 9, 9] 4*(7-(9/9))
[4, 7, 9, 10] (4*10)-(7+9)
[4, 7, 10, 10] 4*(7-(10/10))
[4, 8, 8, 8] 8+(8/(4/8))
[4, 8, 8, 9] 8*((4+8)-9)
[4, 8, 8, 10] (4+8)*(10-8)
[4, 8, 9, 9] 8*(4-(9/9))
[4, 8, 9, 10] 8*((4+9)-10)
[4, 8, 10, 10] (10+10)-(4-8)
[4, 9, 9, 9] None
[4, 9, 9, 10] (9+10)-(4-9)
[4, 9, 10, 10] None
[4, 10, 10, 10] None
[5, 5, 5, 5] (5*5)-(5/5)
[5, 5, 5, 6] (5*5)+(5-6)
[5, 5, 5, 7] None
[5, 5, 5, 8] None
[5, 5, 5, 9] (5+5)+(5+9)
[5, 5, 5, 10] None
[5, 5, 6, 6] 6*((5+5)-6)
[5, 5, 6, 7] (5*5)+(6-7)
[5, 5, 6, 8] (5+5)+(6+8)
[5, 5, 6, 9] None
[5, 5, 6, 10] None
[5, 5, 7, 7] (5+5)+(7+7)
[5, 5, 7, 8] 8*((5+5)-7)
[5, 5, 7, 9] None
[5, 5, 7, 10] (5+7)/(5/10)
[5, 5, 8, 8] (5*5)-(8/8)
[5, 5, 8, 9] (5*5)+(8-9)
[5, 5, 8, 10] (5+10)/(5/8)
[5, 5, 9, 9] (5*5)-(9/9)
[5, 5, 9, 10] (5*5)+(9-10)
[5, 5, 10, 10] (5*5)-(10/10)
[5, 6, 6, 6] 6*(5-(6/6))
[5, 6, 6, 7] (5+6)+(6+7)
[5, 6, 6, 8] 6-(6*(5-8))
[5, 6, 6, 9] (6*9)-(5*6)
[5, 6, 6, 10] (6+6)/(5/10)
[5, 6, 7, 7] 6*(5-(7/7))
[5, 6, 7, 8] (5+7)*(8-6)
[5, 6, 7, 9] 6-(9*(5-7))
[5, 6, 7, 10] None
[5, 6, 8, 8] 8*((5+6)-8)
[5, 6, 8, 9] 6*((5+8)-9)
[5, 6, 8, 10] (5*6)*(8/10)
[5, 6, 9, 9] 9-(5*(6-9))
[5, 6, 9, 10] 6*((5+9)-10)
[5, 6, 10, 10] (10+10)/(5/6)
[5, 7, 7, 7] None
[5, 7, 7, 8] None
[5, 7, 7, 9] (5+7)*(9-7)
[5, 7, 7, 10] 10-(7*(5-7))
[5, 7, 8, 8] 8-(8*(5-7))
[5, 7, 8, 9] 8*((5+7)-9)
[5, 7, 8, 10] (5+7)*(10-8)
[5, 7, 9, 9] None
[5, 7, 9, 10] 9-(5*(7-10))
[5, 7, 10, 10] 10+(10/(5/7))
[5, 8, 8, 8] (5*8)-(8+8)
[5, 8, 8, 9] (8*9)/(8-5)
[5, 8, 8, 10] 8*((5+8)-10)
[5, 8, 9, 9] None
[5, 8, 9, 10] None
[5, 8, 10, 10] None
[5, 9, 9, 9] None
[5, 9, 9, 10] None
[5, 9, 10, 10] (10+10)-(5-9)
[5, 10, 10, 10] None
[6, 6, 6, 6] (6+6)+(6+6)
[6, 6, 6, 7] None
[6, 6, 6, 8] (6+6)*(8-6)
[6, 6, 6, 9] (6*6)*(6/9)
[6, 6, 6, 10] (6*10)-(6*6)
[6, 6, 7, 7] None
[6, 6, 7, 8] None
[6, 6, 7, 9] (6+6)*(9-7)
[6, 6, 7, 10] 6-(6*(7-10))
[6, 6, 8, 8] (6*8)/(8-6)
[6, 6, 8, 9] 8*((6+6)-9)
[6, 6, 8, 10] (6+6)*(10-8)
[6, 6, 9, 9] None
[6, 6, 9, 10] (6+10)/(6/9)
[6, 6, 10, 10] None
[6, 7, 7, 7] None
[6, 7, 7, 8] None
[6, 7, 7, 9] None
[6, 7, 7, 10] 6*((7+7)-10)
[6, 7, 8, 8] None
[6, 7, 8, 9] (6*8)/(9-7)
[6, 7, 8, 10] 8*((6+7)-10)
[6, 7, 9, 9] (6*7)-(9+9)
[6, 7, 9, 10] None
[6, 7, 10, 10] (10*(10-7))-6
[6, 8, 8, 8] 8-(8*(6-8))
[6, 8, 8, 9] (8*9)-(6*8)
[6, 8, 8, 10] (6*8)/(10-8)
[6, 8, 9, 9] (9+9)/(6/8)
[6, 8, 9, 10] 6-(9*(8-10))
[6, 8, 10, 10] None
[6, 9, 9, 9] None
[6, 9, 9, 10] 9+(10/(6/9))
[6, 9, 10, 10] None
[6, 10, 10, 10] (10+10)-(6-10)
[7, 7, 7, 7] None
[7, 7, 7, 8] None
[7, 7, 7, 9] None
[7, 7, 7, 10] None
[7, 7, 8, 8] None
[7, 7, 8, 9] None
[7, 7, 8, 10] None
[7, 7, 9, 9] None
[7, 7, 9, 10] 10-(7*(7-9))
[7, 7, 10, 10] None
[7, 8, 8, 8] None
[7, 8, 8, 9] 8-(8*(7-9))
[7, 8, 8, 10] (8*10)-(7*8)
[7, 8, 9, 9] None
[7, 8, 9, 10] (8*9)/(10-7)
[7, 8, 10, 10] 10-(7*(8-10))
[7, 9, 9, 9] None
[7, 9, 9, 10] None
[7, 9, 10, 10] None
[7, 10, 10, 10] None
[8, 8, 8, 8] None
[8, 8, 8, 9] None
[8, 8, 8, 10] 8-(8*(8-10))
[8, 8, 9, 9] None
[8, 8, 9, 10] None
[8, 8, 10, 10] None
[8, 9, 9, 9] None
[8, 9, 9, 10] None
[8, 9, 10, 10] None
[8, 10, 10, 10] None
[9, 9, 9, 9] None
[9, 9, 9, 10] None
[9, 9, 10, 10] None
[9, 10, 10, 10] None
[10, 10, 10, 10] None