文档库 最新最全的文档下载
当前位置:文档库 › 24点全解表

24点全解表

24点全解
//==============================================================
//难题表
//==============================================================
报表设计:许剑伟
注:a_b=b-a a\b=b/a
程序名称:阿剑24点全解
计算时间0.75秒,保存时间6秒(P2.4G)

题目:1,2,7,7 共1个解 ((7*7)-1)/2
题目:1,3,4,6 共1个解 ((4\3)_1)\6
题目:1,5,5,5 共1个解 ((5\1)_5)*5
题目:1,5,11,11 共1个解 ((11*11)-1)/5
题目:1,6,6,8 共1个解 ((8\6)_1)\6
题目:1,6,11,13 共1个解 ((13*11)+1)/6
题目:1,7,13,13 共1个解 ((13*13)-1)/7
题目:1,8,12,12 共1个解 ((12/8)-1)\12
题目:2,2,7,10 共1个解 ((10/2)+7)*2
题目:2,2,11,11 共1个解 ((11\2)+2)*11
题目:2,2,13,13 共1个解 ((13\2)_2)*13
题目:2,3,5,12 共1个解 ((5/2)_3)\12
题目:2,4,10,10 共1个解 ((10\4)+2)*10
题目:2,5,5,10 共1个解 ((10\2)_5)*5
题目:2,7,7,10 共1个解 ((10/7)+2)*7
题目:2,9,13,13 共1个解 ((13+9)/2)+13
题目:3,3,5,5 共1个解 (5*5)-(3/3)
题目:3,3,6,6 共1个解 ((6/3)+6)*3
题目:3,3,7,7 共1个解 ((7\3)+3)*7
题目:3,3,8,8 共1个解 ((8/3)_3)\8
题目:3,5,7,13 共1个解 ((13*5)+7)/3
题目:3,5,10,10 共1个解 ((10/5)_10)*3
题目:3,6,6,11 共1个解 ((11*6)+6)/3
题目:3,8,8,10 共1个解 ((10*8)-8)/3
题目:4,4,7,7 共1个解 ((7\4)_4)*7
题目:4,4,10,10 共1个解 ((10*10)-4)/4
题目:4,8,8,11 共1个解 ((11*8)+8)/4
题目:4,8,8,13 共1个解 ((13*8)-8)/4
题目:5,5,5,5 共1个解 (5*5)-(5/5)
题目:5,5,7,11 共1个解 ((11/5)_7)*5
题目:5,5,8,8 共1个解 (5*5)-(8/8)
题目:5,5,9,9 共1个解 (5*5)-(9/9)
题目:5,5,10,10 共1个解 (5*5)-(10/10)
题目:5,5,11,11 共1个解 (5*5)-(11/11)
题目:5,5,13,13 共1个解 (5*5)-(13/13)
题目:5,7,7,11 共1个解 ((11/7)_5)*7
题目:5,10,10,11 共1个解 ((11*10)+10)/5
题目:5,10,10,13 共1个解 ((13*10)-10)/5
题目:6,11,12,12 共1个解 ((12*11)+12)/6
题目:6,12,12,13 共1个解 ((13*12)-12)/6


//==============================================================
//全部解
//==============================================================

报表设计:许剑伟
注:a_b=b-a a\b=b/a
程序名称:阿剑24点全解
计算时间0.75秒,保存时间6秒(P2.4G)

题目:1,1,1,1 共0个解
题目:1,1,1,2 共0个解
题目:1,1,1,3 共0个解
题目:1,1,1,4 共0个解
题目:1,1,1,5 共0个解
题目:1,1,1,6 共0个解
题目:1,1,1,7 共0个解
题目:1,1,1,8 共1个解 ((1+1)+1)*8
题目:1,1,1,9 共0个解
题目:1,1,1,10 共0个解
题目:1,1,1,11 共1个解 (11+1)*(1+1)
题目:1,1,1,12 共6个解 ((1*1)+1)*12 ((1+1)*1)*12 ((1+1)\1)\12 ((1+1)*12)*1 (1+1)/(12\1) (12*1)*(1+1)
题目:1,1,1,13 共1个解 (13-1)*(1+1)
题目:1,1,2,2 共0个解
题目:1,1,2,3 共0个解
题目:1,1,2,4 共0个解
题目:1,1,2,5 共0个解
题目:1,1,2,6 共5个解 ((1+1)+2)*6 ((1+1)*2)*6 ((1+1)*6)*2 ((2+1)+1)*6 (6*2)*(1+1)
题目:1,1,2,7 共1个解 (7+1)*(2+1)
题目:1,1,2,8 共7个解 ((1*1)+2)*8 ((2*1)+1)*8 ((2+1)*1)*8 ((2+1)\1)\8 ((2+

1)*8)*1 (2+1)/(8\1) (8*1)*(2+1)
题目:1,1,2,9 共1个解 (9-1)*(2+1)
题目:1,1,2,10 共3个解 ((1+1)+10)*2 ((10+1)+1)*2 (10+2)*(1+1)
题目:1,1,2,11 共10个解
((1+1)*11)+2 ((1*1)+11)*2 ((11+1)*2)*1 (11+1)*(2*1) (11+1)/(2\1) ((11*1)+1)*2 ((11+1)*1)*2 ((11+1)\1)\2
((11*2)+1)+1 (11*2)+(1+1)
题目:1,1,2,12 共39个解
((1-1)+2)*12 ((1-1)_2)*12 ((1*1)*2)*12 ((1*1)/2)\12 ((1-1)+12)*2 ((1-1)_12)*2 ((1*1)*12)*2 ((1*1)/12)\2
((2-1)+1)*12 ((2+1)-1)*12 ((2_1)_1)*12 ((2*1)*1)*12 ((2\1)\1)*12 ((2\1)_1)\12 ((2\1)*1)\12 ((2*1)\1)\12
((2*1)*12)*1 ((2\1)\12)*1 (2*1)/(12\1) ((2\1)/12)\1 ((12*1)*2)*1 (12*1)*(2*1) ((12\1)\2)*1 (12*1)/(2\1)
((12\1)/2)\1 ((12-1)+1)*2 ((12+1)-1)*2 ((12_1)_1)*2 ((12*1)*1)*2 ((12\1)\1)*2 ((12\1)*1)\2 ((12*1)\1)\2
((12*2)-1)+1 ((12*2)+1)-1 (12*2)+(1-1) ((12*2)_1)_1 ((12*2)*1)*1 (12*2)*(1*1) ((12*2)\1)\1
题目:1,1,2,13 共10个解
((1+1)*13)-2 ((1*1)_13)*2 ((13-1)*2)*1 (13-1)*(2*1) (13-1)/(2\1) ((13*1)-1)*2 ((13-1)*1)*2 ((13-1)\1)\2
(13*2)-(1+1) ((13*2)-1)-1
题目:1,1,3,3 共0个解
题目:1,1,3,4 共3个解 ((1+1)*3)*4 ((1+1)*4)*3 (4*3)*(1+1)
题目:1,1,3,5 共1个解 (5+1)*(3+1)
题目:1,1,3,6 共9个解
((1*1)+3)*6 ((1+1)+6)*3 ((3*1)+1)*6 ((3+1)*1)*6 ((3+1)\1)\6 ((3+1)*6)*1 (3+1)/(6\1) (6*1)*(3+1)
((6+1)+1)*3
题目:1,1,3,7 共8个解
((1*1)+7)*3 (7-1)*(3+1) ((7+1)*3)*1 (7+1)*(3*1) (7+1)/(3\1) ((7*1)+1)*3 ((7+1)*1)*3 ((7+1)\1)\3

题目:1,1,3,8 共38个解
((1-1)+3)*8 ((1-1)_3)*8 ((1*1)*3)*8 ((1*1)/3)\8 ((1-1)+8)*3 ((1-1)_8)*3 ((1*1)*8)*3 ((1*1)/8)\3
((3-1)+1)*8 ((3+1)-1)*8 ((3_1)_1)*8 ((3*1)*1)*8 ((3\1)\1)*8 ((3\1)*1)\8 ((3*1)\1)\8 ((3*1)*8)*1
((3\1)\8)*1 (3*1)/(8\1) ((3\1)/8)\1 ((8*1)*3)*1 (8*1)*(3*1) ((8\1)\3)*1 (8*1)/(3\1) ((8\1)/3)\1
((8-1)+1)*3 ((8+1)-1)*3 ((8_1)_1)*3 ((8*1)*1)*3 ((8\1)\1)*3 ((8\1)*1)\3 ((8*1)\1)\3 ((8*3)-1)+1
((8*3)+1)-1 (8*3)+(1-1) ((8*3)_1)_1 ((8*3)*1)*1 (8*3)*(1*1) ((8*3)\1)\1
题目:1,1,3,9 共8个解
((1*1)_9)*3 ((9-1)*3)*1 (9-1)*(3*1) (9-1)/(3\1) ((9*1)-1)*3 ((9-1)*1)*3 ((9-1)\1)\3 (9+3)*(1+1)

题目:1,1,3,10 共2个解 ((1+1)_10)*3 ((10-1)-1)*3
题目:1,1,3,11 共1个解 (11+1)*(3-1)
题目:1,1,3,12 共7个解 ((1*1)_3)*12 ((3*1)-1)*12 ((3-1)*1)*12 ((3-1)\1)\12 ((3-1)*12)*1 (3-1)/(12\1) (12*1)*(3-1)
题目:1,1,3,13 共2个解 (3_1)*(13_1) (13-1)*(3-1)
题目:1,1,4,4 共2个解 ((1+1)+4)*4 ((4+1)+1)*4
题目:1,1,4,5 共8个解
((1*1)+5)*4 ((4+1)*5)-1 ((5+1)*4)*1 (5+1)*(4*1) (5+1)/(4\1) ((5*1)+1)*4 ((5+1)*1)*4 ((5+1)\1)\4

题目:1,1,4,6 共38个解
((1-1)+4)*6 ((1-1)_4)*6 ((1*1)*4)*6 ((1*1)/4)\6 ((1-1)+6)*4 ((1-1)_6)*4 ((1*1)*6)*4 ((1*1)/6)\4
((4-1)+1)*6 ((4+1)-1)*6 ((4_1)_1)*6 ((4*1)*1)*6 ((4\1)\1)*6 ((4\1)*1)\6 ((4*1)\1)\6 ((4*1)*6)*1
((4\1)\6)*1 (4*1)/(6\1) ((4\1)/6)\1 ((6*1)*4)*1 (6*1)*(4*1) ((6\1)\4)*1 (6*1)/(4\1) ((6\1)/4)\1
((6-1)+1)*4 ((6+1)-1)*4 ((6_1)_1)*4 ((6*1)*1)*4 ((6\1)\1)*4 ((6\1)*1)\4 ((6*1)\1)\4 ((6*4)-1)+1
((6*4)+1)-1 (6*4)+(1-1) ((6*4)_1)_1 ((6*4)*1)*1 (6*4)*(1*1) ((6*4)\1)\1
题目:1,1,4,7 共8个解
((1*1

)_7)*4 (7+1)*(4-1) ((7-1)*4)*1 (7-1)*(4*1) (7-1)/(4\1) ((7*1)-1)*4 ((7-1)*1)*4 ((7-1)\1)\4

题目:1,1,4,8 共10个解
((1*1)_4)*8 ((1+1)_8)*4 ((4*1)-1)*8 ((4-1)*1)*8 ((4-1)\1)\8 ((4-1)*8)*1 (4-1)/(8\1) (8*1)*(4-1)
((8-1)-1)*4 (8+4)*(1+1)
题目:1,1,4,9 共2个解 (4_1)*(9_1) (9-1)*(4-1)
题目:1,1,4,10 共1个解 ((1+1)*10)+4
题目:1,1,4,11 共0个解
题目:1,1,4,12 共7个解 ((1+1)_4)*12 ((1+1)\4)*12 ((1+1)/4)\12 ((1+1)\12)*4 ((1+1)/12)\4 ((4-1)-1)*12 (12*4)/(1+1)
题目:1,1,4,13 共0个解
题目:1,1,5,5 共6个解 (5+1)*(5-1) ((5*1)*5)-1 ((5\1)\5)-1 ((5*5)*1)-1 ((5*5)-1)*1 (5*5)-(1*1)
题目:1,1,5,6 共8个解
((1*1)_5)*6 ((5*1)-1)*6 ((5-1)*1)*6 ((5-1)\1)\6 ((5-1)*6)*1 (5-1)/(6\1) ((6-1)*5)-1 (6*1)*(5-1)

题目:1,1,5,7 共3个解 (5_1)*(7_1) (7-1)*(5-1) (7+5)*(1+1)
题目:1,1,5,8 共2个解 ((1+1)_5)*8 ((5-1)-1)*8
题目:1,1,5,9 共0个解
题目:1,1,5,10 共0个解
题目:1,1,5,11 共0个解
题目:1,1,5,12 共0个解
题目:1,1,5,13 共0个解
题目:1,1,6,6 共3个解 ((1+1)_6)*6 ((6-1)-1)*6 (6+6)*(1+1)
题目:1,1,6,7 共0个解
题目:1,1,6,8 共5个解 ((1+1)\6)*8 ((1+1)/6)\8 ((1+1)\8)*6 ((1+1)/8)\6 (8*6)/(1+1)
题目:1,1,6,9 共1个解 ((1+1)*9)+6
题目:1,1,6,10 共0个解
题目:1,1,6,11 共0个解
题目:1,1,6,12 共1个解 ((1+1)*6)+12
题目:1,1,6,13 共0个解
题目:1,1,7,7 共0个解
题目:1,1,7,8 共0个解
题目:1,1,7,9 共0个解
题目:1,1,7,10 共1个解 ((1+1)*7)+10
题目:1,1,7,11 共0个解
题目:1,1,7,12 共0个解
题目:1,1,7,13 共0个解
题目:1,1,8,8 共1个解 ((1+1)*8)+8
题目:1,1,8,9 共0个解
题目:1,1,8,10 共0个解
题目:1,1,8,11 共0个解
题目:1,1,8,12 共0个解
题目:1,1,8,13 共0个解
题目:1,1,9,9 共0个解
题目:1,1,9,10 共0个解
题目:1,1,9,11 共0个解
题目:1,1,9,12 共0个解
题目:1,1,9,13 共9个解
((1+1)+9)+13 ((1+1)+13)+9 ((9+1)+1)+13 ((9+1)+13)+1 ((13+1)+9)+1 (13+1)+(9+1) ((13+1)+1)+9 ((13+9)+1)+1
(13+9)+(1+1)
题目:1,1,10,10 共0个解
题目:1,1,10,11 共0个解
题目:1,1,10,12 共9个解
((1+1)+10)+12 ((1+1)+12)+10 ((10+1)+1)+12 ((10+1)+12)+1 ((12+1)+10)+1 (12+1)+(10+1) ((12+1)+1)+10 ((12+10)+1)+1
(12+10)+(1+1)
题目:1,1,10,13 共15个解
((1*1)+10)+13 ((1*1)+13)+10 ((10*1)+1)+13 ((10+1)*1)+13 ((10*1)+13)+1 ((10+1)+13)*1 ((13*1)+10)+1 (13*1)+(10+1)
((13+1)+10)*1 (13+1)+(10*1) ((13*1)+1)+10 ((13+1)*1)+10 ((13+10)*1)+1 ((13+10)+1)*1 (13+10)+(1*1)
题目:1,1,11,11 共6个解 ((1+1)+11)+11 ((11+1)+1)+11 ((11+1)+11)+1 (11+1)+(11+1) ((11+11)+1)+1 (11+11)+(1+1)
题目:1,1,11,12 共16个解
((1*1)+11)+12 ((1*1)+12)+11 ((11*1)+1)+12 ((11+1)*1)+12 ((11*1)+12)+1 ((11+1)+12)*1 (11+1)+(12*1) ((12*1)+11)+1
(12*1)+(11+1) ((12+1)+11)*1 (12+1)+(11*1) ((12*1)+1)+11 ((12+1)*1)+11 ((12+11)*1)+1 ((12+11)+1)*1 (12+11)+(1*1)

题目:1,1,11,13 共45个解
((1-1)+11)+13 ((1-1)_11)+13 ((1*1)*11)+13 ((1-1)-11)_13 ((1-1)+13)+11 ((1-1)_13)+11 ((1*1)*13)+11 ((1-1)-13)_11
((11-1)+1)+13 ((11+1)-1)+13 ((11_1)_1)+13 ((

11*1)*1)+13 ((11\1)\1)+13 ((11_1)-1)_13 ((11+1)_1)_13 ((11-1)+13)+1
((11_1)_13)+1 ((11+1)+13)-1 (11+1)+(13-1) (11+1)-(13_1) ((11_1)-13)_1 ((11*1)+13)*1 ((13-1)+11)+1 (13-1)+(11+1)
((13_1)_11)+1 ((13+1)+11)-1 (13+1)+(11-1) (13+1)-(11_1) ((13_1)-11)_1 ((13*1)+11)*1 (13*1)+(11*1) ((13-1)+1)+11
((13+1)-1)+11 ((13_1)_1)+11 ((13*1)*1)+11 ((13\1)\1)+11 ((13_1)-1)_11 ((13+1)_1)_11 ((13+11)-1)+1 ((13+11)+1)-1
(13+11)+(1-1) ((13+11)_1)_1 ((13+11)*1)*1 (13+11)*(1*1) ((13+11)\1)\1
题目:1,1,12,12 共26个解
((1-1)+12)+12 ((1-1)_12)+12 ((1*1)*12)+12 ((1-1)-12)_12 ((12-1)+1)+12 ((12+1)-1)+12 ((12_1)_1)+12 ((12*1)*1)+12
((12\1)\1)+12 ((12_1)-1)_12 ((12+1)_1)_12 ((12-1)+12)+1 ((12_1)_12)+1 ((12+1)+12)-1 (12+1)+(12-1) (12+1)-(12_1)
((12_1)-12)_1 ((12*1)+12)*1 (12*1)+(12*1) ((12+12)-1)+1 ((12+12)+1)-1 (12+12)+(1-1) ((12+12)_1)_1 ((12+12)*1)*1
(12+12)*(1*1) ((12+12)\1)\1
题目:1,1,12,13 共26个解
((1*1)_12)+13 ((1*1)-12)_13 ((1*1)_13)+12 ((1*1)-13)_12 ((12*1)-1)+13 ((12-1)*1)+13 ((12*1)_1)_13 ((12_1)*1)_13
((12*1)+13)-1 (12*1)+(13-1) (12*1)-(13_1) ((12-1)+13)*1 ((12_1)_13)*1 ((13*1)+12)-1 (13*1)+(12-1) (13*1)-(12_1)
((13-1)+12)*1 (13-1)+(12*1) ((13_1)_12)*1 ((13*1)-1)+12 ((13-1)*1)+12 ((13*1)_1)_12 ((13_1)*1)_12 ((13+12)*1)-1
((13+12)-1)*1 (13+12)-(1*1)
题目:1,1,13,13 共11个解
((1+1)_13)+13 ((1+1)-13)_13 ((13-1)-1)+13 ((13_1)+1)_13 ((13-1)_1)_13 ((13-1)+13)-1 (13-1)+(13-1) ((13_1)_13)-1
(13-1)-(13_1) (13+13)-(1+1) ((13+13)-1)-1
题目:1,2,2,2 共0个解
题目:1,2,2,3 共0个解
题目:1,2,2,4 共3个解 ((2+1)*2)*4 ((2+1)*4)*2 (4*2)*(2+1)
题目:1,2,2,5 共3个解 (5+1)*(2+2) ((5+1)*2)*2 (5+1)*(2*2)
题目:1,2,2,6 共26个解
((2*1)+2)*6 ((2*1)*2)*6 ((2\1)\2)*6 ((2\1)/2)\6 ((2*1)*6)*2 ((2\1)\6)*2 ((2\1)/6)\2 ((2+2)*1)*6
((2*2)*1)*6 ((2+2)\1)\6 ((2*2)\1)\6 ((2+2)*6)*1 ((2*2)*6)*1 (2+2)/(6\1) (2*2)/(6\1) (6+2)*(2+1)
((6*2)*2)*1 (6*2)*(2*1) (6*2)/(2\1) ((6*2)*1)*2 ((6*2)\1)\2 (6*1)*(2+2) ((6*1)*2)*2 (6*1)*(2*2)
((6\1)\2)*2 ((6\1)/2)\2
题目:1,2,2,7 共3个解 (7-1)*(2+2) ((7-1)*2)*2 (7-1)*(2*2)
题目:1,2,2,8 共4个解 ((2-1)+2)*8 ((2_1)_2)*8 ((2+2)-1)*8 ((2*2)-1)*8
题目:1,2,2,9 共3个解 ((2+1)+9)*2 ((9+2)+1)*2 ((9+1)+2)*2
题目:1,2,2,10 共9个解
((2*1)+10)*2 (10-2)*(2+1) ((10+2)*2)*1 (10+2)*(2*1) (10+2)/(2\1) ((10+2)*1)*2 ((10+2)\1)\2 ((10+1)*2)+2
((10*1)+2)*2
题目:1,2,2,11 共12个解
((2*1)*11)+2 ((2\1)\11)+2 ((2-1)+11)*2 ((2_1)_11)*2 ((11*2)+2)*1 (11*2)+(2*1) ((11*2)*1)+2 ((11+2)-1)*2
((11*1)*2)+2 ((11\1)\2)+2 ((11-1)+2)*2 ((11_1)_2)*2
题目:1,2,2,12 共9个解
((2-1)*2)*12 ((2-1)/2)\12 ((2-1)*12)*2 ((2-1)/12)\2 ((2/2)+1)*12 (12*2)*(2-1) ((12-1)*2)+2 ((12+1)*2)-2
((12_1)*2)_2
题目:1,2,2,13 共12个解
((2*1)*13)-2 ((2\1)\13)-2 ((2_1)+13)*2 ((2-1)_13)*2 ((13*2)-2)*1 (13*2)-(2*1) ((13*2)*1)-2 ((13-2)+1)*2
((13_2)_1)*2 ((13*1)*2)-2 ((13\1)\2)-2 ((13+1)-2)*2
题目:1,2,3,3 共3个解 (3*2)*(3+1) ((3+1)*2)*3 ((3+1)*3)*2
题目:1,2,3,4 共37个解
((2+1)+3)*4 ((2*1)*3)*4 ((2\

1)\3)*4 ((2\1)/3)\4 ((2*1)*4)*3 ((2\1)\4)*3 ((2\1)/4)\3 ((3+2)+1)*4
((3*2)*1)*4 ((3*2)\1)\4 ((3*2)*4)*1 (3*2)*(4*1) (3*2)/(4\1) ((3+1)+2)*4 ((3*1)*2)*4 ((3\1)\2)*4
((3\1)/2)\4 ((3*1)*4)*2 ((3\1)\4)*2 ((3\1)/4)\2 (4+2)*(3+1) ((4*2)*3)*1 (4*2)*(3*1) (4*2)/(3\1)
((4*2)*1)*3 ((4*2)\1)\3 ((4*3)*2)*1 (4*3)*(2*1) (4*3)/(2\1) ((4*3)*1)*2 ((4*3)\1)\2 ((4*1)*2)*3
((4\1)\2)*3 ((4\1)/2)\3 ((4*1)*3)*2 ((4\1)\3)*2 ((4\1)/3)\2
题目:1,2,3,5 共8个解
((2+1)+5)*3 ((3+2)*5)-1 (3*2)*(5-1) ((5+2)+1)*3 (5+3)*(2+1) ((5+1)+2)*3 ((5-1)*2)*3 ((5-1)*3)*2

题目:1,2,3,6 共15个解
((2-1)+3)*6 ((2_1)_3)*6 ((2*1)+6)*3 ((3+2)-1)*6 ((3-1)+2)*6 ((3_1)_2)*6 ((3-1)*2)*6 ((3-1)*6)*2
(6*2)*(3-1) ((6+2)*3)*1 (6+2)*(3*1) (6+2)/(3\1) ((6+2)*1)*3 ((6+2)\1)\3 ((6*1)+2)*3
题目:1,2,3,7 共9个解
((2+1)*7)+3 ((2-1)+7)*3 ((2_1)_7)*3 ((7+2)-1)*3 ((7*3)+2)+1 (7*3)+(2+1) ((7*3)+1)+2 ((7-1)+2)*3
((7_1)_2)*3
题目:1,2,3,8 共10个解
((2-1)*3)*8 ((2-1)/3)\8 ((2-1)*8)*3 ((2-1)/8)\3 ((3\2)_1)\8 ((3+1)+8)*2 (8-2)*(3+1) (8*3)*(2-1)
((8+3)+1)*2 ((8+1)+3)*2
题目:1,2,3,9 共16个解
((2+1)*9)-3 ((2_1)+9)*3 ((2-1)_9)*3 ((3*1)+9)*2 ((9-2)+1)*3 ((9_2)_1)*3 (9*3)-(2+1) ((9*3)-2)-1
((9+3)*2)*1 (9+3)*(2*1) (9+3)/(2\1) ((9*3)-1)-2 ((9+3)*1)*2 ((9+3)\1)\2 ((9+1)-2)*3 ((9*1)+3)*2

题目:1,2,3,10 共16个解
((2*1)_10)*3 ((3-1)+10)*2 ((3_1)_10)*2 ((10*2)+3)+1 (10*2)+(3+1) (10+2)*(3-1) ((10-2)*3)*1 (10-2)*(3*1)
(10-2)/(3\1) ((10*2)+1)+3 ((10-2)*1)*3 ((10-2)\1)\3 ((10+3)-1)*2 ((10*1)-2)*3 ((10-1)+3)*2 ((10_1)_3)*2

题目:1,2,3,11 共11个解
((2+1)_11)*3 ((3-1)*11)+2 ((3_1)*11)_2 ((11*2)+3)-1 (11*2)+(3-1) (11*2)-(3_1) ((11*2)-1)+3 ((11*2)_1)_3
((11-2)-1)*3 (11-3)*(2+1) ((11-1)-2)*3
题目:1,2,3,12 共11个解
((2_1)+3)*12 ((2-1)_3)*12 ((3-2)+1)*12 ((3_2)_1)*12 ((3/2)-1)\12 ((3+1)-2)*12 ((3+1)/2)*12 ((3+1)\2)\12
((3+1)*12)/2 (3+1)/(12\2) (12/2)*(3+1)
题目:1,2,3,13 共6个解 ((3-1)*13)-2 ((13*2)-3)+1 (13*2)-(3-1) (13*2)+(3_1) ((13*2)_3)_1 ((13*2)+1)-3
题目:1,2,4,4 共11个解
((2*1)+4)*4 ((4+2)*1)*4 ((4+2)\1)\4 (4*2)*(4-1) ((4+2)*4)*1 (4+2)*(4*1) (4+2)/(4\1) ((4*1)+2)*4
((4-1)*2)*4 ((4-1)*4)*2 (4+4)*(2+1)
题目:1,2,4,5 共6个解 ((2-1)+5)*4 ((2_1)_5)*4 (4+2)*(5-1) ((5+2)-1)*4 ((5-1)+2)*4 ((5_1)_2)*4
题目:1,2,4,6 共6个解 ((2-1)*4)*6 ((2-1)/4)\6 ((2-1)*6)*4 ((2-1)/6)\4 (6+2)*(4-1) (6*4)*(2-1)
题目:1,2,4,7 共8个解
((2_1)+7)*4 ((2-1)_7)*4 ((4+1)+7)*2 ((7-2)+1)*4 ((7_2)_1)*4 ((7+4)+1)*2 ((7+1)-2)*4 ((7+1)+4)*2

题目:1,2,4,8 共20个解
((2_1)+4)*8 ((2-1)_4)*8 ((2*1)_8)*4 ((4-2)+1)*8 ((4/2)+1)*8 ((4_2)_1)*8 ((4+1)-2)*8 ((4*1)+8)*2
((8-2)*4)*1 (8-2)*(4*1) (8-2)/(4\1) ((8-2)*1)*4 ((8-2)\1)\4 ((8+4)*2)*1 (8+4)*(2*1) (8+4)/(2\1)
((8+4)*1)*2 ((8+4)\1)\2 ((8*1)-2)*4 ((8*1)+4)*2
题目:1,2,4,9 共9个解
((2+1)_9)*4 ((4-1)+9)*2 ((4_1)_9)*2 ((9-2)-1)*4 ((9+4)-1)*2 ((9+1)*2)+4 ((9-1)-2)*4 ((9-1)+4)*2
((9_1)_4)*2
题目:1,2,4,10 共10个解
((2*1)*10)+4 ((2\1)\10)+4 (4_1)*(10_2) (10-2)*(4-1) ((10*2)+4)*1 (10*2)+(4*1) ((10*2)*

1)+4 ((10/2)+1)*4
((10*1)*2)+4 ((10\1)\2)+4
题目:1,2,4,11 共8个解
((11-1)*2)+4 ((11_1)*2)_4 ((11+1)/2)*4 ((11+1)\2)\4 (11+1)*(4-2) ((11+1)*4)/2 (11+1)*(4/2) (11+1)/(4\2)

题目:1,2,4,12 共51个解
((2+1)*4)+12 ((2*1)_4)*12 ((2\1)*4)*12 ((2*1)\4)*12 ((2*1)/4)\12 ((2\1)*12)*4 ((2*1)\12)*4 ((2*1)/12)\4
((4-2)*1)*12 ((4/2)*1)*12 ((4\2)\1)*12 ((4\2)_1)\12 ((4\2)*1)\12 ((4-2)\1)\12 ((4/2)\1)\12 ((4-2)*12)*1
((4/2)*12)*1 ((4\2)\12)*1 (4-2)/(12\1) (4/2)/(12\1) ((4\2)/12)\1 ((4*1)-2)*12 ((4*1)/2)*12 ((4\1)*2)\12
((4*1)\2)\12 ((4*1)*12)/2 ((4\1)\12)/2 (4*1)/(12\2) ((12/2)*4)*1 (12/2)*(4*1) ((12\2)\4)*1 (12/2)/(4\1)
((12\2)/4)\1 ((12/2)*1)*4 ((12\2)\1)*4 ((12\2)*1)\4 ((12/2)\1)\4 (12-4)*(2+1) ((12*4)/2)*1 (12*4)/(2*1)
(12*4)*(2\1) ((12*4)\2)\1 ((12*4)*1)/2 ((12*1)/2)*4 ((12\1)*2)\4 ((12*1)\2)\4 (12*1)*(4-2) ((12*1)*4)/2
(12*1)*(4/2) ((12\1)\4)/2 (12*1)/(4\2)
题目:1,2,4,13 共8个解
(4_2)*(13_1) ((13+1)*2)-4 ((13-1)/2)*4 ((13-1)\2)\4 (13-1)*(4-2) ((13-1)*4)/2 (13-1)*(4/2) (13-1)/(4\2)

题目:1,2,5,5 共5个解 ((5*5)-2)+1 (5*5)-(2-1) (5*5)+(2_1) ((5*5)_2)_1 ((5*5)+1)-2
题目:1,2,5,6 共9个解
((2_1)+5)*6 ((2-1)_5)*6 ((5-2)+1)*6 ((5_2)_1)*6 ((5+1)-2)*6 (5+1)*(6-2) ((5+1)+6)*2 ((6+5)+1)*2
((6+1)+5)*2
题目:1,2,5,7 共9个解
((5*1)+7)*2 ((7-2)*5)-1 ((7+5)*2)*1 (7+5)*(2*1) (7+5)/(2\1) ((7+5)*1)*2 ((7+5)\1)\2 (7+1)*(5-2)
((7*1)+5)*2
题目:1,2,5,8 共19个解
((2*1)_5)*8 ((5-2)*1)*8 ((5-2)\1)\8 ((5-2)*8)*1 (5-2)/(8\1) ((5*1)-2)*8 ((5+1)/2)*8 ((5+1)\2)\8
(5_1)*(8_2) ((5-1)+8)*2 ((5_1)_8)*2 ((5+1)*8)/2 (5+1)*(8/2) (5+1)/(8\2) (8-2)*(5-1) ((8+5)-1)*2
(8*1)*(5-2) ((8-1)+5)*2 ((8_1)_5)*2
题目:1,2,5,9 共6个解 ((2+1)*5)+9 (5_2)*(9_1) ((9*2)+5)+1 (9*2)+(5+1) ((9*2)+1)+5 (9-1)*(5-2)
题目:1,2,5,10 共10个解
((5/2)*10)-1 ((5\2)\10)-1 ((10*2)+5)-1 (10*2)+(5-1) ((10/2)*5)-1 ((10\2)\5)-1 (10*2)-(5_1) ((10*2)-1)+5
((10*2)_1)_5 ((10*5)/2)-1
题目:1,2,5,11 共0个解
题目:1,2,5,12 共9个解
((2+1)_5)*12 ((5-2)-1)*12 ((5+1)*2)+12 ((5-1)-2)*12 ((5-1)/2)*12 ((5-1)\2)\12 ((5-1)*12)/2 (5-1)/(12\2)
(12/2)*(5-1)
题目:1,2,5,13 共4个解 ((5*2)+1)+13 ((5*2)+13)+1 (13-5)*(2+1) (13+1)+(5*2)
题目:1,2,6,6 共15个解
((2+1)*6)+6 ((2*1)_6)*6 ((6/2)+1)*6 ((6-2)*1)*6 ((6-2)\1)\6 ((6-2)*6)*1 (6-2)/(6\1) ((6*1)-2)*6
(6*1)*(6-2) ((6*1)+6)*2 ((6+6)*2)*1 (6+6)*(2*1) (6+6)/(2\1) ((6+6)*1)*2 ((6+6)\1)\2
题目:1,2,6,7 共15个解
((2+1)_7)*6 (6_2)*(7_1) ((6-1)+7)*2 ((6_1)_7)*2 ((7-2)-1)*6 ((7+6)-1)*2 ((7-1)-2)*6 ((7+1)/2)*6
((7+1)\2)\6 (7-1)*(6-2) ((7-1)+6)*2 ((7_1)_6)*2 ((7+1)*6)/2 (7+1)*(6/2) (7+1)/(6\2)
题目:1,2,6,8 共45个解
((2+1)_6)*8 ((2\1)*6)*8 ((2*1)\6)*8 ((2*1)/6)\8 ((2\1)*8)*6 ((2*1)\8)*6 ((2*1)/8)\6 ((6-2)-1)*8
((6/2)*1)*8 ((6\2)\1)*8 ((6\2)*1)\8 ((6/2)\1)\8 ((6/2)*8)*1 ((6\2)\8)*1 (6/2)/(8\1) ((6\2)/8)\1
((6-1)-2)*8 ((6*1)/2)*8 ((6\1)*2)\8 ((6*1)\2)\8 ((6*1)*8)/2 (6*1)*(8/2) ((6\1)\8)/2 (6*1)/(8\2)
((8/2)*6)*1 ((8\2)\6)*1 (8/2)/(6\1) ((8\2)/6)\1 ((8/2)*1)*6 ((8\2)\1)*6 ((8\2)*1)\

6 ((8/2)\1)\6
((8*6)/2)*1 (8*6)/(2*1) (8*6)*(2\1) ((8*6)\2)\1 ((8*6)*1)/2 ((8+1)*2)+6 ((8*1)/2)*6 ((8\1)*2)\6
((8*1)\2)\6 ((8*1)*6)/2 (8*1)*(6/2) ((8\1)\6)/2 (8*1)/(6\2)
题目:1,2,6,9 共12个解
((2*1)*9)+6 ((2\1)\9)+6 ((9*2)+6)*1 (9*2)+(6*1) ((9*2)*1)+6 ((9*1)*2)+6 ((9\1)\2)+6 ((9-1)/2)*6
((9-1)\2)\6 ((9-1)*6)/2 (9-1)*(6/2) (9-1)/(6\2)
题目:1,2,6,10 共5个解 ((2+1)*10)-6 ((6+1)*2)+10 ((10/2)-1)*6 ((10-1)*2)+6 ((10_1)*2)_6
题目:1,2,6,11 共4个解 ((6*2)+1)+11 ((6*2)+11)+1 (6*2)+(11+1) (11+1)+(6*2)
题目:1,2,6,12 共14个解
((2*1)*6)+12 ((2\1)\6)+12 ((2+1)\6)*12 ((2+1)/6)\12 ((2+1)\12)*6 ((2+1)/12)\6 ((6*2)*1)+12 ((6/2)-1)*12
((6*2)+12)*1 (6*2)+(12*1) ((6*1)*2)+12 ((6\1)\2)+12 (12*6)/(2+1) (12*1)+(6*2)
题目:1,2,6,13 共6个解 ((6*2)-1)+13 ((6*2)_1)_13 ((6*2)+13)-1 (6*2)+(13-1) (6*2)-(13_1) (13-1)+(6*2)
题目:1,2,7,7 共1个解 ((7*7)-1)/2
题目:1,2,7,8 共9个解
((7+1)*2)+8 ((7-1)/2)*8 ((7-1)\2)\8 ((7-1)*8)/2 (7-1)*(8/2) (7-1)/(8\2) ((8*2)+7)+1 (8*2)+(7+1)
((8*2)+1)+7
题目:1,2,7,9 共8个解
((7*2)+1)+9 ((7*2)+9)+1 (7*2)+(9+1) ((9*2)+7)-1 (9*2)+(7-1) (9*2)-(7_1) ((9*2)-1)+7 ((9*2)_1)_7

题目:1,2,7,10 共7个解 ((2*1)*7)+10 ((2\1)\7)+10 ((7*2)*1)+10 ((7*2)+10)*1 (7*2)+(10*1) ((7*1)*2)+10 ((7\1)\2)+10
题目:1,2,7,11 共5个解 ((7*2)-1)+11 ((7*2)_1)_11 ((7*2)+11)-1 (7*2)+(11-1) (7*2)-(11_1)
题目:1,2,7,12 共2个解 ((7-1)*2)+12 ((7_1)*2)_12
题目:1,2,7,13 共0个解
题目:1,2,8,8 共8个解
((2*1)*8)+8 ((2\1)\8)+8 ((8*2)*1)+8 ((8/2)-1)*8 ((8*2)+8)*1 (8*2)+(8*1) ((8*1)*2)+8 ((8\1)\2)+8

题目:1,2,8,9 共12个解
((2+1)\8)*9 ((2+1)/8)\9 ((2+1)\9)*8 ((2+1)/9)\8 ((8*2)-1)+9 ((8*2)_1)_9 ((8*2)+9)-1 (8*2)+(9-1)
(8*2)-(9_1) (9*8)/(2+1) ((9-1)*2)+8 ((9_1)*2)_8
题目:1,2,8,10 共2个解 ((8-1)*2)+10 ((8_1)*2)_10
题目:1,2,8,11 共0个解
题目:1,2,8,12 共0个解
题目:1,2,8,13 共15个解
((2+1)+8)+13 ((2+1)+13)+8 ((8+2)+1)+13 ((8+2)+13)+1 ((8+1)+2)+13 ((8+1)+13)+2 ((13+2)+8)+1 (13+2)+(8+1)
((13+2)+1)+8 ((13+8)+2)+1 (13+8)+(2+1) ((13+8)+1)+2 ((13+1)+2)+8 ((13+1)+8)+2 (13+1)+(8+2)
题目:1,2,9,9 共0个解
题目:1,2,9,10 共0个解
题目:1,2,9,11 共1个解 ((2+1)*11)-9
题目:1,2,9,12 共15个解
((2+1)+9)+12 ((2+1)+12)+9 ((9+2)+1)+12 ((9+2)+12)+1 ((9+1)+2)+12 ((9+1)+12)+2 ((12+2)+9)+1 (12+2)+(9+1)
((12+2)+1)+9 ((12+9)+2)+1 (12+9)+(2+1) ((12+9)+1)+2 ((12+1)+2)+9 ((12+1)+9)+2 (12+1)+(9+2)
题目:1,2,9,13 共15个解
((2*1)+9)+13 ((2*1)+13)+9 ((9+2)*1)+13 ((9+2)+13)*1 ((9*1)+2)+13 ((9*1)+13)+2 ((13+2)+9)*1 (13+2)+(9*1)
((13+2)*1)+9 ((13+9)+2)*1 (13+9)+(2*1) ((13+9)*1)+2 ((13*1)+2)+9 ((13*1)+9)+2 (13*1)+(9+2)
题目:1,2,10,10 共0个解
题目:1,2,10,11 共16个解
((2+1)+10)+11 ((2+1)+11)+10 ((10+2)+1)+11 ((10+2)+11)+1 (10+2)+(11+1) ((10+1)+2)+11 ((10+1)+11)+2 ((11+2)+10)+1
(11+2)+(10+1) ((11+2)+1)+10 ((11+10)+2)+1 (11+10)+(2+1) ((11+10)+1)+2 ((11+1)+2)+10 ((11+1)+10)+2 (11+1)+(10+2)

题目:1,2,10,12 共16个解
((2*1)+10)+12 ((2*1)+12)+10 ((10+2)*1)+12 (

(10+2)+12)*1 (10+2)+(12*1) ((10*1)+2)+12 ((10*1)+12)+2 ((12+2)+10)*1
(12+2)+(10*1) ((12+2)*1)+10 ((12+10)+2)*1 (12+10)+(2*1) ((12+10)*1)+2 ((12*1)+2)+10 ((12*1)+10)+2 (12*1)+(10+2)

题目:1,2,10,13 共34个解
((2-1)+10)+13 ((2_1)_10)+13 ((2_1)-10)_13 ((2-1)+13)+10 ((2_1)_13)+10 ((2_1)-13)_10 ((10+2)-1)+13 ((10+2)_1)_13
((10+2)+13)-1 (10+2)+(13-1) (10+2)-(13_1) ((10-1)+2)+13 ((10_1)_2)+13 ((10_1)-2)_13 ((10-1)+13)+2 ((10_1)_13)+2
((10_1)-13)_2 ((13+2)+10)-1 (13+2)+(10-1) (13+2)-(10_1) ((13+2)-1)+10 ((13+2)_1)_10 ((13+10)+2)-1 (13+10)+(2-1)
(13+10)-(2_1) ((13+10)-1)+2 ((13+10)_1)_2 ((13-1)+2)+10 ((13_1)_2)+10 ((13_1)-2)_10 ((13-1)+10)+2 (13-1)+(10+2)
((13_1)_10)+2 ((13_1)-10)_2
题目:1,2,11,11 共9个解
((2*1)+11)+11 ((11+2)*1)+11 ((11+2)+11)*1 (11+2)+(11*1) ((11*1)+2)+11 ((11*1)+11)+2 ((11+11)+2)*1 (11+11)+(2*1)
((11+11)*1)+2
题目:1,2,11,12 共34个解
((2-1)+11)+12 ((2_1)_11)+12 ((2_1)-11)_12 ((2-1)+12)+11 ((2_1)_12)+11 ((2_1)-12)_11 ((11+2)-1)+12 ((11+2)_1)_12
((11+2)+12)-1 (11+2)+(12-1) (11+2)-(12_1) ((11-1)+2)+12 ((11_1)_2)+12 ((11_1)-2)_12 ((11-1)+12)+2 ((11_1)_12)+2
((11_1)-12)_2 ((12+2)+11)-1 (12+2)+(11-1) (12+2)-(11_1) ((12+2)-1)+11 ((12+2)_1)_11 ((12+11)+2)-1 (12+11)+(2-1)
(12+11)-(2_1) ((12+11)-1)+2 ((12+11)_1)_2 ((12\11)_1)\2 ((12-1)+2)+11 ((12_1)_2)+11 ((12_1)-2)_11 ((12-1)+11)+2
((12_1)_11)+2 ((12_1)-11)_2
题目:1,2,11,13 共7个解 ((2-1)*11)+13 ((2_1)*11)_13 ((2_1)\11)_13 ((2-1)*13)+11 ((2_1)*13)_11 ((2_1)\13)_11 (13+11)*(2-1)
题目:1,2,12,12 共5个解 ((2-1)*12)+12 ((2+1)*12)-12 ((2_1)*12)_12 ((2_1)\12)_12 (12+12)*(2-1)
题目:1,2,12,13 共34个解
((2_1)+12)+13 ((2-1)_12)+13 ((2-1)-12)_13 ((2_1)+13)+12 ((2-1)_13)+12 ((2-1)-13)_12 ((12-2)+1)+13 ((12_2)_1)+13
((12_2)-1)_13 ((12-2)+13)+1 ((12_2)_13)+1 ((12_2)-13)_1 ((12+1)-2)+13 ((12+1)_2)_13 ((12+1)+13)-2 (12+1)+(13-2)
(12+1)-(13_2) ((13-2)+12)+1 ((13_2)_12)+1 ((13_2)-12)_1 ((13-2)+1)+12 ((13_2)_1)+12 ((13_2)-1)_12 ((13+12)-2)+1
(13+12)-(2-1) (13+12)+(2_1) ((13+12)_2)_1 ((13+12)+1)-2 ((13/12)-1)\2 ((13+1)-2)+12 ((13+1)_2)_12 ((13+1)+12)-2
(13+1)+(12-2) (13+1)-(12_2)
题目:1,2,13,13 共14个解
((2*1)_13)+13 ((2*1)-13)_13 ((13-2)*1)+13 ((13_2)*1)_13 ((13-2)+13)*1 ((13_2)_13)*1 ((13*1)-2)+13 ((13*1)_2)_13
((13*1)+13)-2 (13*1)+(13-2) (13*1)-(13_2) ((13+13)-2)*1 (13+13)-(2*1) ((13+13)*1)-2
题目:1,3,3,3 共2个解 ((3*3)-1)*3 (3+3)*(3+1)
题目:1,3,3,4 共12个解
((3*1)+3)*4 ((3-1)*3)*4 ((3+1)+4)*3 ((3-1)*4)*3 ((3+3)*1)*4 ((3+3)\1)\4 ((3+3)*4)*1 (3+3)*(4*1)
(3+3)/(4\1) (4*3)*(3-1) ((4+3)+1)*3 ((4+1)+3)*3
题目:1,3,3,5 共8个解
((3*1)+5)*3 (3+3)*(5-1) ((5+3)*3)*1 (5+3)*(3*1) (5+3)/(3\1) ((5+3)*1)*3 ((5+3)\1)\3 ((5*1)+3)*3

题目:1,3,3,6 共6个解 ((3-1)+6)*3 ((3_1)_6)*3 ((6+3)-1)*3 ((6+1)*3)+3 ((6-1)+3)*3 ((6_1)_3)*3
题目:1,3,3,7 共7个解 ((3*1)*7)+3 ((3\1)\7)+3 ((7*3)+3)*1 (7*3)+(3*1) ((7*3)*1)+3 ((7*1)*3)+3 ((7\1)\3)+3
题目:1,3,3,8 共3个解 ((8-1)*3)+3 ((8+1)*3)-3 ((8_1)*3)_3
题目:1,3,3,9 共10个


((3\1)_3)*9 ((3*1)*9)-3 ((3\1)\9)-3 (9-3)*(3+1) (9+3)*(3-1) ((9*3)-3)*1 (9*3)-(3*1) ((9*3)*1)-3
((9*1)*3)-3 ((9\1)\3)-3
题目:1,3,3,10 共6个解 ((3_1)+10)*3 ((3-1)_10)*3 ((10-3)+1)*3 ((10_3)_1)*3 ((10-1)*3)-3 ((10+1)-3)*3
题目:1,3,3,11 共7个解 ((3*1)_11)*3 ((11-3)*3)*1 (11-3)*(3*1) (11-3)/(3\1) ((11-3)*1)*3 ((11-3)\1)\3 ((11*1)-3)*3
题目:1,3,3,12 共5个解 ((3+1)*3)+12 ((3+1)_12)*3 ((3/3)+1)*12 ((12-3)-1)*3 ((12-1)-3)*3
题目:1,3,3,13 共0个解
题目:1,3,4,4 共11个解
((3-1)+4)*4 ((3_1)_4)*4 ((4+3)-1)*4 ((4-1)+3)*4 ((4_1)_3)*4 ((4*1)+4)*3 ((4+4)*3)*1 (4+4)*(3*1)
(4+4)/(3\1) ((4+4)*1)*3 ((4+4)\1)\3
题目:1,3,4,5 共10个解
((3+1)*5)+4 ((4-1)+5)*3 ((4_1)_5)*3 (5+3)*(4-1) ((5*4)+3)+1 (5*4)+(3+1) ((5*4)+1)+3 ((5+4)-1)*3
((5-1)+4)*3 ((5_1)_4)*3
题目:1,3,4,6 共1个解 ((4\3)_1)\6
题目:1,3,4,7 共11个解
((3+1)*7)-4 ((4-1)*7)+3 ((4_1)*7)_3 ((7*3)+4)-1 (7*3)+(4-1) (7*3)-(4_1) ((7*3)-1)+4 ((7*3)_1)_4
(7*4)-(3+1) ((7*4)-3)-1 ((7*4)-1)-3
题目:1,3,4,8 共8个解
((3+1)*4)+8 ((3_1)+8)*4 ((3-1)_8)*4 ((4/3)-1)\8 ((8-3)+1)*4 ((8_3)_1)*4 (8+4)*(3-1) ((8+1)-3)*4

题目:1,3,4,9 共14个解
((3*1)_9)*4 ((4+1)*3)+9 ((4-1)*9)-3 ((9*3)-4)+1 (9*3)-(4-1) (9*3)+(4_1) ((9*3)_4)_1 ((9-3)*4)*1
(9-3)*(4*1) (9-3)/(4\1) ((9*3)+1)-4 ((9-3)*1)*4 ((9-3)\1)\4 ((9*1)-3)*4
题目:1,3,4,10 共6个解 ((3-1)*10)+4 ((3_1)*10)_4 ((3+1)_10)*4 ((10-3)-1)*4 (10-4)*(3+1) ((10-1)-3)*4
题目:1,3,4,11 共11个解
((4*3)+1)+11 ((4*3)+11)+1 (4*3)+(11+1) (4_1)*(11_3) ((4_1)+11)*3 ((4-1)_11)*3 (11-3)*(4-1) ((11-4)+1)*3
((11_4)_1)*3 (11+1)+(4*3) ((11+1)-4)*3
题目:1,3,4,12 共25个解
((3*1)*4)+12 ((3\1)\4)+12 ((3_1)+4)*12 ((3-1)_4)*12 ((3-1)\4)*12 ((3-1)/4)\12 ((3-1)\12)*4 ((3-1)/12)\4
((4*3)*1)+12 ((4-3)+1)*12 ((4_3)_1)*12 ((4*3)+12)*1 (4*3)+(12*1) ((4*1)*3)+12 ((4\1)\3)+12 ((4+1)-3)*12
((4*1)_12)*3 (12*4)/(3-1) ((12-4)*3)*1 (12-4)*(3*1) (12-4)/(3\1) ((12-4)*1)*3 ((12-4)\1)\3 (12*1)+(4*3)
((12*1)-4)*3
题目:1,3,4,13 共9个解
((4*3)-1)+13 ((4*3)_1)_13 ((4*3)+13)-1 (4*3)+(13-1) (4*3)-(13_1) ((4+1)_13)*3 ((13-4)-1)*3 (13-1)+(4*3)
((13-1)-4)*3
题目:1,3,5,5 共0个解
题目:1,3,5,6 共4个解 ((5+1)*3)+6 ((6*3)+5)+1 (6*3)+(5+1) ((6*3)+1)+5
题目:1,3,5,7 共2个解 (5+1)*(7-3) (7+5)*(3-1)
题目:1,3,5,8 共9个解
((3_1)+5)*8 ((3-1)_5)*8 ((5*3)+1)+8 ((5-3)+1)*8 ((5_3)_1)*8 ((5*3)+8)+1 (5*3)+(8+1) ((5+1)-3)*8
((8-3)*5)-1
题目:1,3,5,9 共10个解
((3*1)*5)+9 ((3\1)\5)+9 ((5*3)*1)+9 ((5/3)+1)*9 ((5*3)+9)*1 (5*3)+(9*1) ((5*1)*3)+9 ((5\1)\3)+9
(5_1)*(9_3) (9-3)*(5-1)
题目:1,3,5,10 共8个解
((5*3)-1)+10 ((5*3)_1)_10 ((5*3)+10)-1 (5*3)+(10-1) (5*3)-(10_1) (10*3)-(5+1) ((10*3)-5)-1 ((10*3)-1)-5

题目:1,3,5,11 共2个解 (11-5)*(3+1) (11+1)*(5-3)
题目:1,3,5,12 共19个解
((3*1)_5)*12 ((5-3)*1)*12 ((5-3)\1)\12 ((5-3)*12)*1 (5-3)/(12\1) ((5-1)*3)+12 ((5_1)*3)_12 ((5*1)-3)*12
((5+1)/3)*12 ((5+1)\3)\12 ((5_1)+12)*3 ((5-1)_12)*3 ((5+1)*12)/3 (5+1)*(12/3) (5+1)/(12\3) ((12-5)+1)*3
((12_5)_1)*

3 (12*1)*(5-3) ((12+1)-5)*3
题目:1,3,5,13 共9个解
(5_3)*(13_1) ((5*1)_13)*3 ((13-5)*3)*1 (13-5)*(3*1) (13-5)/(3\1) ((13-5)*1)*3 ((13-5)\1)\3 (13-1)*(5-3)
((13*1)-5)*3
题目:1,3,6,6 共13个解
((3*1)*6)+6 ((3\1)\6)+6 ((3_1)+6)*6 ((3-1)_6)*6 ((6*3)*1)+6 ((6-3)+1)*6 ((6_3)_1)*6 ((6*3)+6)*1
(6*3)+(6*1) ((6*1)*3)+6 ((6\1)\3)+6 ((6+1)-3)*6 (6+6)*(3-1)
题目:1,3,6,7 共15个解
((3*1)_7)*6 ((6*3)-1)+7 ((6*3)_1)_7 ((6*3)+7)-1 (6*3)+(7-1) (6*3)-(7_1) (6*1)*(7-3) ((7-3)*6)*1
(7-3)/(6\1) ((7-3)*1)*6 ((7-3)\1)\6 ((7-1)*3)+6 ((7_1)*3)_6 ((7*1)-3)*6 (7+1)*(6-3)
题目:1,3,6,8 共16个解
((3*1)_6)*8 ((3-1)\6)*8 ((3-1)/6)\8 ((3+1)_8)*6 ((3-1)\8)*6 ((3-1)/8)\6 ((6/3)+1)*8 ((6-3)*1)*8
((6-3)\1)\8 ((6-3)*8)*1 (6-3)/(8\1) ((6*1)-3)*8 ((8-3)-1)*6 (8*6)/(3-1) ((8-1)-3)*6 (8*1)*(6-3)

题目:1,3,6,9 共8个解
((3-1)*9)+6 ((3_1)*9)_6 (6_3)*(9_1) ((6-1)*3)+9 ((6_1)*3)_9 ((9/3)+1)*6 ((9+1)*3)-6 (9-1)*(6-3)

题目:1,3,6,10 共7个解 ((3*1)*10)-6 ((3\1)\10)-6 ((10*3)-6)*1 (10*3)-(6*1) ((10*3)*1)-6 ((10*1)*3)-6 ((10\1)\3)-6
题目:1,3,6,11 共6个解 ((11-1)*3)-6 ((11+1)/3)*6 ((11+1)\3)\6 ((11+1)*6)/3 (11+1)*(6/3) (11+1)/(6\3)
题目:1,3,6,12 共48个解
((3-1)*6)+12 ((3_1)*6)_12 ((3+1)_6)*12 ((3\1)*6)*12 ((3*1)\6)*12 ((3*1)/6)\12 ((3\1)*12)*6 ((3*1)\12)*6
((3*1)/12)\6 ((6-3)-1)*12 ((6/3)*1)*12 ((6\3)\1)*12 ((6\3)_1)\12 ((6\3)*1)\12 ((6/3)\1)\12 ((6/3)*12)*1
((6\3)\12)*1 (6/3)/(12\1) ((6\3)/12)\1 ((6-1)-3)*12 ((6*1)/3)*12 ((6\1)*3)\12 ((6*1)\3)\12 ((6*1)*12)/3
(6*1)*(12/3) ((6\1)\12)/3 (6*1)/(12\3) ((12/3)*6)*1 ((12\3)\6)*1 (12/3)/(6\1) ((12\3)/6)\1 ((12/3)*1)*6
((12\3)\1)*6 ((12\3)*1)\6 ((12/3)\1)\6 (12-6)*(3+1) ((12*6)/3)*1 (12*6)/(3*1) (12*6)*(3\1) ((12*6)\3)\1
((12*6)*1)/3 ((12*1)/3)*6 ((12\1)*3)\6 ((12*1)\3)\6 ((12*1)*6)/3 (12*1)*(6/3) ((12\1)\6)/3 (12*1)/(6\3)

题目:1,3,6,13 共10个解
((6_1)+13)*3 ((6-1)_13)*3 ((13-6)+1)*3 ((13_6)_1)*3 ((13-1)/3)*6 ((13-1)\3)\6 ((13+1)-6)*3 ((13-1)*6)/3
(13-1)*(6/3) (13-1)/(6\3)
题目:1,3,7,7 共2个解 (7_3)*(7_1) (7-1)*(7-3)
题目:1,3,7,8 共4个解 ((3+1)_7)*8 ((7-3)-1)*8 ((7-1)-3)*8 ((8\7)_1)\3
题目:1,3,7,9 共5个解 ((7+1)/3)*9 ((7+1)\3)\9 ((7+1)*9)/3 (7+1)*(9/3) (7+1)/(9\3)
题目:1,3,7,10 共7个解 ((3-1)*7)+10 ((3_1)*7)_10 ((10*3)-7)+1 (10*3)-(7-1) (10*3)+(7_1) ((10*3)_7)_1 ((10*3)+1)-7
题目:1,3,7,11 共0个解
题目:1,3,7,12 共5个解 ((7-1)/3)*12 ((7-1)\3)\12 ((7-1)*12)/3 (7-1)*(12/3) (7-1)/(12\3)
题目:1,3,7,13 共16个解
((3+1)+7)+13 ((3+1)+13)+7 ((7+3)+1)+13 ((7+3)+13)+1 ((7+1)+3)+13 ((7+1)+13)+3 ((13+3)+7)+1 (13+3)+(7+1)
((13+3)+1)+7 ((13+7)+3)+1 (13+7)+(3+1) (13-7)*(3+1) ((13+7)+1)+3 ((13+1)+3)+7 ((13+1)+7)+3 (13+1)+(7+3)

题目:1,3,8,8 共8个解
((3-1)*8)+8 ((3+1)*8)-8 ((3_1)*8)_8 ((8+1)/3)*8 ((8+1)\3)\8 ((8+1)*8)/3 (8+1)*(8/3) (8+1)/(8\3)

题目:1,3,8,9 共42个解
((3\1)*8)*9 ((3*1)\8)*9 ((3*1)/8)\9 ((3\1)*9)*8 ((3*1)\9)*8 ((3*1)/9)\8 ((8/3)*1)*9 ((8\3)\1)*9
((8\3)*1)\9 ((8/3)\1)\9 ((8/3)*9)*1 ((8\3)\9)*1 (8/3)/(9\1) ((8\

3)/9)\1 ((8*1)/3)*9 ((8\1)*3)\9
((8*1)\3)\9 ((8*1)*9)/3 (8*1)*(9/3) ((8\1)\9)/3 (8*1)/(9\3) ((9/3)*8)*1 ((9\3)\8)*1 (9/3)/(8\1)
((9\3)/8)\1 ((9/3)*1)*8 ((9\3)\1)*8 ((9\3)*1)\8 ((9/3)\1)\8 ((9*8)/3)*1 (9*8)/(3*1) (9*8)*(3\1)
((9*8)\3)\1 ((9*8)*1)/3 ((9/8)-1)\3 ((9*1)/3)*8 ((9\1)*3)\8 ((9*1)\3)\8 ((9*1)*8)/3 (9*1)*(8/3)
((9\1)\8)/3 (9*1)/(8\3)
题目:1,3,8,10 共5个解 ((10-1)/3)*8 ((10-1)\3)\8 ((10-1)*8)/3 (10-1)*(8/3) (10-1)/(8\3)
题目:1,3,8,11 共3个解 (11*3)-(8+1) ((11*3)-8)-1 ((11*3)-1)-8
题目:1,3,8,12 共21个解
((3+1)+8)+12 ((3+1)\8)*12 ((3+1)/8)\12 ((3+1)+12)+8 ((3+1)\12)*8 ((3+1)/12)\8 ((8+3)+1)+12 ((8+3)+12)+1
((8+1)+3)+12 ((8+1)+12)+3 ((12+3)+8)+1 (12+3)+(8+1) ((12+3)+1)+8 ((12/3)-1)*8 ((12+8)+3)+1 (12+8)+(3+1)
(12*8)/(3+1) ((12+8)+1)+3 ((12+1)+3)+8 ((12+1)+8)+3 (12+1)+(8+3)
题目:1,3,8,13 共15个解
((3*1)+8)+13 ((3*1)+13)+8 ((8+3)*1)+13 ((8+3)+13)*1 ((8*1)+3)+13 ((8*1)+13)+3 ((13+3)+8)*1 (13+3)+(8*1)
((13+3)*1)+8 ((13+8)+3)*1 (13+8)+(3*1) ((13+8)*1)+3 ((13*1)+3)+8 ((13*1)+8)+3 (13*1)+(8+3)
题目:1,3,9,9 共5个解 ((9-1)/3)*9 ((9-1)\3)\9 ((9-1)*9)/3 (9-1)*(9/3) (9-1)/(9\3)
题目:1,3,9,10 共1个解 ((10+1)*3)-9
题目:1,3,9,11 共24个解
((3+1)+9)+11 ((3+1)+11)+9 ((3*1)*11)-9 ((3\1)\11)-9 ((9+3)+1)+11 ((9+3)+11)+1 (9+3)+(11+1) ((9+1)+3)+11
((9+1)+11)+3 ((11+3)+9)+1 (11+3)+(9+1) ((11*3)-9)*1 (11*3)-(9*1) ((11+3)+1)+9 ((11*3)*1)-9 ((11/3)-1)*9
((11+9)+3)+1 (11+9)+(3+1) ((11+9)+1)+3 ((11+1)+3)+9 ((11*1)*3)-9 ((11\1)\3)-9 ((11+1)+9)+3 (11+1)+(9+3)

题目:1,3,9,12 共19个解
((3*1)+9)+12 ((3+1)*9)-12 ((3*1)+12)+9 ((9+3)*1)+12 ((9/3)-1)*12 ((9+3)+12)*1 (9+3)+(12*1) ((9*1)+3)+12
((9*1)+12)+3 ((12+3)+9)*1 (12+3)+(9*1) ((12+3)*1)+9 ((12+9)+3)*1 (12+9)+(3*1) ((12+9)*1)+3 ((12*1)+3)+9
((12-1)*3)-9 ((12*1)+9)+3 (12*1)+(9+3)
题目:1,3,9,13 共34个解
((3-1)+9)+13 ((3_1)_9)+13 ((3_1)-9)_13 ((3-1)+13)+9 ((3_1)_13)+9 ((3_1)-13)_9 ((9+3)-1)+13 ((9+3)_1)_13
((9+3)+13)-1 (9+3)+(13-1) (9+3)-(13_1) ((9-1)+3)+13 ((9_1)_3)+13 ((9_1)-3)_13 ((9-1)+13)+3 ((9_1)_13)+3
((9_1)-13)_3 ((13+3)+9)-1 (13+3)+(9-1) (13+3)-(9_1) ((13+3)-1)+9 ((13+3)_1)_9 ((13+9)+3)-1 (13+9)+(3-1)
(13+9)-(3_1) ((13+9)-1)+3 ((13+9)_1)_3 ((13-1)+3)+9 ((13_1)_3)+9 ((13_1)-3)_9 ((13-1)+9)+3 (13-1)+(9+3)
((13_1)_9)+3 ((13_1)-9)_3
题目:1,3,10,10 共9个解
((3+1)+10)+10 ((10+3)+1)+10 ((10+3)+10)+1 (10+3)+(10+1) ((10+1)+3)+10 ((10+1)+10)+3 ((10+10)+3)+1 (10+10)+(3+1)
((10+10)+1)+3
题目:1,3,10,11 共20个解
((3*1)+10)+11 ((3*1)+11)+10 ((10+3)*1)+11 ((10+3)+11)*1 (10+3)+(11*1) ((10*1)+3)+11 ((10*1)+11)+3 ((11*3)-10)+1
(11*3)-(10-1) (11*3)+(10_1) ((11*3)_10)_1 ((11+3)+10)*1 (11+3)+(10*1) ((11+3)*1)+10 ((11*3)+1)-10 ((11+10)+3)*1
(11+10)+(3*1) ((11+10)*1)+3 ((11*1)+3)+10 ((11*1)+10)+3
题目:1,3,10,12 共33个解
((3-1)+10)+12 ((3_1)_10)+12 ((3_1)-10)_12 ((3-1)+12)+10 ((3_1)_12)+10 ((3_1)-12)_10 ((10+3)-1)+12 ((10+3)_1)_12
((10+3)+12)-1 (10+3)+(12-1) (10+3)-(12_1) ((10-1)+3)+12 ((10_1)_3)+12 ((10_1)-3)_12 ((10-1)

+12)+3 ((10_1)_12)+3
((10_1)-12)_3 ((12+3)+10)-1 (12+3)+(10-1) (12+3)-(10_1) ((12+3)-1)+10 ((12+3)_1)_10 ((12+10)+3)-1 (12+10)+(3-1)
(12+10)-(3_1) ((12+10)-1)+3 ((12+10)_1)_3 ((12-1)+3)+10 ((12_1)_3)+10 ((12_1)-3)_10 ((12-1)+10)+3 ((12_1)_10)+3
((12_1)-10)_3
题目:1,3,10,13 共0个解
题目:1,3,11,11 共19个解
((3-1)+11)+11 ((3_1)_11)+11 ((3_1)-11)_11 ((11+3)-1)+11 ((11+3)_1)_11 ((11+3)+11)-1 (11+3)+(11-1) (11+3)-(11_1)
((11-1)+3)+11 ((11_1)_3)+11 ((11_1)-3)_11 ((11-1)+11)+3 ((11_1)_11)+3 ((11_1)-11)_3 ((11+11)+3)-1 (11+11)+(3-1)
(11+11)-(3_1) ((11+11)-1)+3 ((11+11)_1)_3
题目:1,3,11,12 共4个解 ((11+1)*3)-12 (12*3)-(11+1) ((12*3)-11)-1 ((12*3)-1)-11
题目:1,3,11,13 共0个解
题目:1,3,12,12 共7个解 ((3*1)*12)-12 ((3\1)\12)-12 ((12*3)*1)-12 ((12*3)-12)*1 (12*3)-(12*1) ((12*1)*3)-12 ((12\1)\3)-12
题目:1,3,12,13 共6个解 ((12*3)+1)-13 ((12*3)-13)+1 (12*3)-(13-1) (12*3)+(13_1) ((12*3)_13)_1 ((13-1)*3)-12
题目:1,3,13,13 共19个解
((3_1)+13)+13 ((3-1)_13)+13 ((3-1)-13)_13 ((13-3)+1)+13 ((13_3)_1)+13 ((13_3)-1)_13 ((13-3)+13)+1 ((13_3)_13)+1
((13_3)-13)_1 ((13+1)-3)+13 ((13+1)_3)_13 ((13+1)+13)-3 (13+1)+(13-3) (13+1)-(13_3) ((13+13)-3)+1 (13+13)-(3-1)
(13+13)+(3_1) ((13+13)_3)_1 ((13+13)+1)-3
题目:1,4,4,4 共2个解 ((4+1)*4)+4 (4+4)*(4-1)
题目:1,4,4,5 共7个解 ((4*1)*5)+4 ((4\1)\5)+4 ((5*4)+4)*1 (5*4)+(4*1) ((5*4)*1)+4 ((5*1)*4)+4 ((5\1)\4)+4
题目:1,4,4,6 共3个解 ((6-1)*4)+4 ((6+1)*4)-4 ((6_1)*4)_4
题目:1,4,4,7 共10个解
((4*1)*7)-4 ((4\1)\7)-4 ((4*4)+1)+7 ((4*4)+7)+1 (4*4)+(7+1) ((7*4)-4)*1 (7*4)-(4*1) ((7*4)*1)-4
((7*1)*4)-4 ((7\1)\4)-4
题目:1,4,4,8 共6个解 ((4*1)*4)+8 ((4\1)\4)+8 ((4*4)*1)+8 ((4*4)+8)*1 (4*4)+(8*1) ((8-1)*4)-4
题目:1,4,4,9 共10个解
((4_1)+9)*4 ((4-1)_9)*4 ((4*4)-1)+9 ((4*4)_1)_9 ((4*4)+9)-1 (4*4)+(9-1) (4*4)-(9_1) ((9-4)+1)*4
((9_4)_1)*4 ((9+1)-4)*4
题目:1,4,4,10 共7个解 ((4*1)_10)*4 ((10-4)*4)*1 (10-4)*(4*1) (10-4)/(4\1) ((10-4)*1)*4 ((10-4)\1)\4 ((10*1)-4)*4
题目:1,4,4,11 共3个解 ((4+1)_11)*4 ((11-4)-1)*4 ((11-1)-4)*4
题目:1,4,4,12 共5个解 ((4-1)*4)+12 ((4_1)*4)_12 (4_1)*(12_4) ((4/4)+1)*12 (12-4)*(4-1)
题目:1,4,4,13 共0个解
题目:1,4,5,5 共7个解 ((5*4)-1)+5 ((5*4)_1)_5 ((5*4)+5)-1 (5*4)+(5-1) (5*4)-(5_1) ((5-1)*5)+4 ((5_1)*5)_4
题目:1,4,5,6 共2个解 ((5/4)-1)\6 ((6\5)_1)\4
题目:1,4,5,7 共6个解 ((5-1)*7)-4 ((7*4)-5)+1 (7*4)-(5-1) (7*4)+(5_1) ((7*4)_5)_1 ((7*4)+1)-5
题目:1,4,5,8 共3个解 ((5-1)*4)+8 ((5_1)*4)_8 (5+1)*(8-4)
题目:1,4,5,9 共3个解 ((4-1)*5)+9 ((4_1)*5)_9 ((9-4)*5)-1
题目:1,4,5,10 共7个解 (5_1)*(10_4) ((5_1)+10)*4 ((5-1)_10)*4 (10-4)*(5-1) ((10-5)+1)*4 ((10_5)_1)*4 ((10+1)-5)*4
题目:1,4,5,11 共7个解 ((5*1)_11)*4 ((11-5)*4)*1 (11-5)*(4*1) (11-5)/(4\1) ((11-5)*1)*4 ((11-5)\1)\4 ((11*1)-5)*4
题目:1,4,5,12 共8个解
((4_1)+5)*12 ((4-1)_5)*12 ((5-4)+1)*12 ((5_4)_1)*12 ((5+1)-4)*12 ((5+1)_12)*4 ((12-5)-1)*4 ((12-1)-5)*4

题目:1,4,5,13 共2个解 (4_1)*(13_5) (13-5)*(4-1

)
题目:1,4,6,6 共3个解 ((4-1)*6)+6 ((4+1)*6)-6 ((4_1)*6)_6
题目:1,4,6,7 共6个解 ((4_1)+7)*6 ((4-1)_7)*6 ((7-4)+1)*6 ((7_4)_1)*6 ((7/6)-1)\4 ((7+1)-4)*6
题目:1,4,6,8 共13个解
((4_1)+6)*8 ((4-1)_6)*8 ((4*1)_8)*6 ((6-4)+1)*8 ((6_4)_1)*8 ((6\4)_1)\8 ((6+1)-4)*8 (6*1)*(8-4)
((8-4)*6)*1 (8-4)/(6\1) ((8-4)*1)*6 ((8-4)\1)\6 ((8*1)-4)*6
题目:1,4,6,9 共3个解 ((4+1)_9)*6 ((9-4)-1)*6 ((9-1)-4)*6
题目:1,4,6,10 共1个解 ((4-1)*10)-6
题目:1,4,6,11 共6个解 ((6_1)+11)*4 ((6-1)_11)*4 ((11-6)+1)*4 ((11_6)_1)*4 (11+1)*(6-4) ((11+1)-6)*4
题目:1,4,6,12 共21个解
((4*1)_6)*12 ((4-1)\6)*12 ((4-1)/6)\12 ((4-1)\12)*6 ((4-1)/12)\6 ((6-4)*1)*12 ((6/4)-1)\12 ((6-4)\1)\12
((6-4)*12)*1 (6-4)/(12\1) ((6*1)-4)*12 ((6*1)_12)*4 ((12/4)+1)*6 (12*6)/(4-1) ((12-6)*4)*1 (12-6)*(4*1)
(12-6)/(4\1) ((12-6)*1)*4 ((12-6)\1)\4 (12*1)*(6-4) ((12*1)-6)*4
题目:1,4,6,13 共20个解
((4+1)+6)+13 ((4+1)+13)+6 ((6+4)+1)+13 ((6+4)+13)+1 (6_4)*(13_1) ((6+1)+4)+13 ((6+1)+13)+4 ((6+1)_13)*4
((13+4)+6)+1 (13+4)+(6+1) ((13+4)+1)+6 ((13+6)+4)+1 (13+6)+(4+1) ((13+6)+1)+4 ((13-6)-1)*4 ((13+1)+4)+6
((13+1)+6)+4 (13+1)+(6+4) (13-1)*(6-4) ((13-1)-6)*4
题目:1,4,7,7 共1个解 (7+1)*(7-4)
题目:1,4,7,8 共13个解
((4*1)_7)*8 ((7-4)*1)*8 ((7-4)\1)\8 ((7-4)*8)*1 (7-4)/(8\1) ((7+1)*4)-8 ((7*1)-4)*8 (7-1)*(8-4)
(8*4)-(7+1) ((8*4)-7)-1 (8_4)*(7_1) ((8*4)-1)-7 (8*1)*(7-4)
题目:1,4,7,9 共2个解 (7_4)*(9_1) (9-1)*(7-4)
题目:1,4,7,10 共0个解
题目:1,4,7,11 共1个解 ((4+1)*7)-11
题目:1,4,7,12 共28个解
((4+1)+7)+12 ((4+1)_7)*12 ((4+1)+12)+7 ((7+4)+1)+12 ((7-4)-1)*12 ((7+4)+12)+1 ((7+1)+4)+12 ((7-1)-4)*12
((7+1)/4)*12 ((7+1)\4)\12 ((7+1)+12)+4 ((7_1)+12)*4 ((7-1)_12)*4 ((7+1)*12)/4 (7+1)*(12/4) (7+1)/(12\4)
((12+4)+7)+1 (12+4)+(7+1) ((12+4)+1)+7 ((12+7)+4)+1 (12+7)+(4+1) ((12+7)+1)+4 ((12-7)+1)*4 ((12_7)_1)*4
((12+1)+4)+7 ((12+1)+7)+4 (12+1)+(7+4) ((12+1)-7)*4
题目:1,4,7,13 共22个解
((4*1)+7)+13 ((4*1)+13)+7 ((7+4)*1)+13 ((7+4)+13)*1 ((7*1)+4)+13 ((7*1)+13)+4 ((7*1)_13)*4 ((13+4)+7)*1
(13+4)+(7*1) ((13+4)*1)+7 ((13+7)+4)*1 (13+7)+(4*1) ((13-7)*4)*1 (13-7)*(4*1) (13-7)/(4\1) ((13+7)*1)+4
((13-7)*1)*4 ((13-7)\1)\4 ((13*1)+4)+7 ((13*1)+7)+4 (13*1)+(7+4) ((13*1)-7)*4
题目:1,4,8,8 共11个解
((4*1)*8)-8 ((4\1)\8)-8 ((4+1)_8)*8 ((8*4)*1)-8 ((8/4)+1)*8 ((8-4)-1)*8 ((8*4)-8)*1 (8*4)-(8*1)
((8*1)*4)-8 ((8\1)\4)-8 ((8-1)-4)*8
题目:1,4,8,9 共11个解
((4-1)\8)*9 ((4-1)/8)\9 ((4-1)\9)*8 ((4-1)/9)\8 ((8*4)+1)-9 ((8*4)-9)+1 (8*4)-(9-1) (8*4)+(9_1)
((8*4)_9)_1 (9*8)/(4-1) ((9-1)*4)-8
题目:1,4,8,10 共0个解
题目:1,4,8,11 共21个解
((4+1)+8)+11 ((4+1)+11)+8 ((8+4)+1)+11 ((8+4)+11)+1 (8+4)+(11+1) ((8+1)+4)+11 ((8+1)+11)+4 ((11+4)+8)+1
(11+4)+(8+1) ((11+4)+1)+8 ((11+8)+4)+1 (11+8)+(4+1) ((11+8)+1)+4 ((11+1)+4)+8 ((11+1)/4)*8 ((11+1)\4)\8
((11+1)+8)+4 (11+1)+(8+4) ((11+1)*8)/4 (11+1)*(8/4) (11+1)/(8\4)
题目:1,4,8,12 共59个解
((4*1)+8)+12 ((4\1)*8)*12 ((4*1)\8)*12 ((4*1)/8)\12 ((4*1)+12)+8 ((4\1)

*12)*8 ((4*1)\12)*8 ((4*1)/12)\8
((8+4)*1)+12 ((8/4)*1)*12 ((8\4)\1)*12 ((8\4)_1)\12 ((8\4)*1)\12 ((8/4)\1)\12 ((8+4)+12)*1 (8+4)+(12*1)
((8/4)*12)*1 ((8\4)\12)*1 (8/4)/(12\1) ((8\4)/12)\1 ((8*1)+4)+12 ((8+1)*4)-12 ((8*1)/4)*12 ((8\1)*4)\12
((8*1)\4)\12 ((8*1)+12)+4 ((8*1)*12)/4 (8*1)*(12/4) ((8\1)\12)/4 (8*1)/(12\4) ((12+4)+8)*1 (12+4)+(8*1)
((12/4)*8)*1 ((12\4)\8)*1 (12/4)/(8\1) ((12\4)/8)\1 ((12+4)*1)+8 ((12/4)*1)*8 ((12\4)\1)*8 ((12\4)*1)\8
((12/4)\1)\8 ((12+8)+4)*1 (12+8)+(4*1) ((12*8)/4)*1 (12*8)/(4*1) (12*8)*(4\1) ((12*8)\4)\1 ((12+8)*1)+4
((12*8)*1)/4 ((12*1)+4)+8 ((12*1)/4)*8 ((12\1)*4)\8 ((12*1)\4)\8 ((12*1)+8)+4 (12*1)+(8+4) ((12*1)*8)/4
(12*1)*(8/4) ((12\1)\8)/4 (12*1)/(8\4)
题目:1,4,8,13 共44个解
((4-1)+8)+13 ((4_1)_8)+13 ((4_1)-8)_13 ((4-1)+13)+8 ((4_1)_13)+8 ((4_1)-13)_8 ((8+4)-1)+13 ((8+4)_1)_13
((8+4)+13)-1 (8+4)+(13-1) (8+4)-(13_1) ((8-1)+4)+13 ((8_1)_4)+13 ((8_1)-4)_13 ((8-1)+13)+4 ((8_1)_13)+4
((8_1)-13)_4 ((8_1)+13)*4 ((8-1)_13)*4 ((13+4)+8)-1 (13+4)+(8-1) (13+4)-(8_1) ((13+4)-1)+8 ((13+4)_1)_8
((13+8)+4)-1 (13+8)+(4-1) (13+8)-(4_1) ((13+8)-1)+4 ((13+8)_1)_4 ((13-8)+1)*4 ((13_8)_1)*4 ((13-1)+4)+8
((13_1)_4)+8 ((13_1)-4)_8 ((13-1)/4)*8 ((13-1)\4)\8 ((13-1)+8)+4 (13-1)+(8+4) ((13_1)_8)+4 ((13_1)-8)_4
((13+1)-8)*4 ((13-1)*8)/4 (13-1)*(8/4) (13-1)/(8\4)
题目:1,4,9,9 共0个解
题目:1,4,9,10 共15个解
((4+1)+9)+10 ((4+1)+10)+9 ((9+4)+1)+10 ((9+4)+10)+1 (9+4)+(10+1) ((9+1)+4)+10 ((9+1)+10)+4 ((10+4)+9)+1
(10+4)+(9+1) ((10+4)+1)+9 ((10+9)+4)+1 (10+9)+(4+1) ((10+9)+1)+4 ((10+1)+4)+9 ((10+1)+9)+4
题目:1,4,9,11 共19个解
((4*1)+9)+11 ((4*1)+11)+9 ((4-1)*11)-9 ((9+4)*1)+11 ((9*4)-1)-11 (9*4)-(11+1) ((9*4)-11)-1 ((9+4)+11)*1
(9+4)+(11*1) ((9*1)+4)+11 ((9*1)+11)+4 ((11+4)+9)*1 (11+4)+(9*1) ((11+4)*1)+9 ((11+9)+4)*1 (11+9)+(4*1)
((11+9)*1)+4 ((11*1)+4)+9 ((11*1)+9)+4
题目:1,4,9,12 共45个解
((4-1)+9)+12 ((4_1)_9)+12 ((4*1)*9)-12 ((4\1)\9)-12 ((4_1)-9)_12 ((4-1)+12)+9 ((4_1)_12)+9 ((4_1)-12)_9
((9+4)-1)+12 ((9*4)*1)-12 ((9+4)_1)_12 ((9+4)+12)-1 (9+4)+(12-1) (9+4)-(12_1) ((9*4)-12)*1 (9*4)-(12*1)
((9-1)+4)+12 ((9_1)_4)+12 ((9*1)*4)-12 ((9\1)\4)-12 ((9_1)-4)_12 ((9-1)/4)*12 ((9-1)\4)\12 ((9-1)+12)+4
((9_1)_12)+4 ((9_1)-12)_4 ((9-1)*12)/4 (9-1)*(12/4) (9-1)/(12\4) ((12+4)+9)-1 (12+4)+(9-1) (12+4)-(9_1)
((12+4)-1)+9 ((12+4)_1)_9 ((12+9)+4)-1 (12+9)+(4-1) (12+9)-(4_1) ((12+9)-1)+4 ((12+9)_1)_4 ((12-1)+4)+9
((12_1)_4)+9 ((12_1)-4)_9 ((12-1)+9)+4 ((12_1)_9)+4 ((12_1)-9)_4
题目:1,4,9,13 共5个解 ((9*4)+1)-13 ((9*4)-13)+1 (9*4)-(13-1) (9*4)+(13_1) ((9*4)_13)_1
题目:1,4,10,10 共12个解
((4*1)+10)+10 ((10+4)*1)+10 ((10/4)*10)-1 ((10\4)\10)-1 ((10+4)+10)*1 (10+4)+(10*1) ((10*1)+4)+10 ((10*1)+10)+4
((10*10)/4)-1 ((10+10)+4)*1 (10+10)+(4*1) ((10+10)*1)+4
题目:1,4,10,11 共33个解
((4-1)+10)+11 ((4_1)_10)+11 ((4_1)-10)_11 ((4-1)+11)+10 ((4_1)_11)+10 ((4_1)-11)_10 ((10+4)-1)+11 ((10+4)_1)_11
((10+4)+11)-1 (10+4)+(11-1) (10+4)-(11_1) ((10-1)+4)+11 ((10_1)_4)+11 ((1

0_1)-4)_11 ((10-1)+11)+4 ((10_1)_11)+4
((10_1)-11)_4 ((11+4)+10)-1 (11+4)+(10-1) (11+4)-(10_1) ((11+4)-1)+10 ((11+4)_1)_10 ((11+10)+4)-1 (11+10)+(4-1)
(11+10)-(4_1) ((11+10)-1)+4 ((11+10)_1)_4 ((11-1)+4)+10 ((11_1)_4)+10 ((11_1)-4)_10 ((11-1)+10)+4 ((11_1)_10)+4
((11_1)-10)_4
题目:1,4,10,12 共7个解 ((4+1)\10)*12 ((4+1)/10)\12 ((4+1)\12)*10 ((4+1)/12)\10 ((10-1)*4)-12 (12*10)/(4+1) ((12\10)_1)\4
题目:1,4,10,13 共0个解
题目:1,4,11,11 共0个解
题目:1,4,11,12 共0个解
题目:1,4,11,13 共0个解
题目:1,4,12,12 共2个解 ((4-1)*12)-12 ((12/4)-1)*12
题目:1,4,12,13 共0个解
题目:1,4,13,13 共0个解
题目:1,5,5,5 共1个解 ((5\1)_5)*5
题目:1,5,5,6 共4个解 ((5+1)*5)-6 (6*5)-(5+1) ((6*5)-5)-1 ((6*5)-1)-5
题目:1,5,5,7 共0个解
题目:1,5,5,8 共0个解
题目:1,5,5,9 共1个解 (5+1)*(9-5)
题目:1,5,5,10 共1个解 ((10-5)*5)-1
题目:1,5,5,11 共2个解 (5_1)*(11_5) (11-5)*(5-1)
题目:1,5,5,12 共1个解 ((5/5)+1)*12
题目:1,5,5,13 共9个解
((5+1)+5)+13 ((5+1)+13)+5 ((5+5)+1)+13 ((5+5)+13)+1 ((13+5)+5)+1 (13+5)+(5+1) ((13+5)+1)+5 ((13+1)+5)+5
(13+1)+(5+5)
题目:1,5,6,6 共7个解 ((5*1)*6)-6 ((5\1)\6)-6 ((6*5)*1)-6 ((6*5)-6)*1 (6*5)-(6*1) ((6*1)*5)-6 ((6\1)\5)-6
题目:1,5,6,7 共6个解 ((6*5)+1)-7 ((6*5)-7)+1 (6*5)-(7-1) (6*5)+(7_1) ((6*5)_7)_1 ((7-1)*5)-6
题目:1,5,6,8 共5个解 ((5_1)+8)*6 ((5-1)_8)*6 ((8-5)+1)*6 ((8_5)_1)*6 ((8+1)-5)*6
题目:1,5,6,9 共7个解 ((5*1)_9)*6 (6*1)*(9-5) ((9-5)*6)*1 (9-5)/(6\1) ((9-5)*1)*6 ((9-5)\1)\6 ((9*1)-5)*6
题目:1,5,6,10 共4个解 (5+1)*(10-6) ((5+1)_10)*6 ((10-5)-1)*6 ((10-1)-5)*6
题目:1,5,6,11 共2个解 ((6+1)*5)-11 ((11-6)*5)-1
题目:1,5,6,12 共23个解
((5+1)+6)+12 ((5+1)*6)-12 ((5_1)+6)*12 ((5-1)_6)*12 ((5+1)+12)+6 (5_1)*(12_6) ((6+5)+1)+12 ((6-5)+1)*12
((6_5)_1)*12 ((6+5)+12)+1 ((6+1)+5)+12 ((6+1)-5)*12 ((6+1)+12)+5 ((12+5)+6)+1 (12+5)+(6+1) ((12+5)+1)+6
((12+6)+5)+1 (12+6)+(5+1) (12-6)*(5-1) ((12+6)+1)+5 ((12+1)+5)+6 ((12+1)+6)+5 (12+1)+(6+5)
题目:1,5,6,13 共15个解
((5*1)+6)+13 ((5*1)+13)+6 ((6+5)*1)+13 ((6+5)+13)*1 ((6*1)+5)+13 ((6*1)+13)+5 ((13+5)+6)*1 (13+5)+(6*1)
((13+5)*1)+6 ((13+6)+5)*1 (13+6)+(5*1) ((13+6)*1)+5 ((13*1)+5)+6 ((13*1)+6)+5 (13*1)+(6+5)
题目:1,5,7,7 共0个解
题目:1,5,7,8 共6个解 ((5_1)+7)*8 ((5-1)_7)*8 ((7-5)+1)*8 ((7_5)_1)*8 ((7+1)-5)*8 (7+1)*(8-5)
题目:1,5,7,9 共2个解 (7-1)*(9-5) (9_5)*(7_1)
题目:1,5,7,10 共4个解 ((7*5)-1)-10 ((7/5)+1)*10 (7*5)-(10+1) ((7*5)-10)-1
题目:1,5,7,11 共25个解
((5+1)+7)+11 ((5*1)*7)-11 ((5\1)\7)-11 ((5+1)+11)+7 (5+1)*(11-7) ((7+5)+1)+11 ((7*5)*1)-11 ((7+5)+11)+1
(7+5)+(11+1) ((7*5)-11)*1 (7*5)-(11*1) ((7+1)+5)+11 ((7*1)*5)-11 ((7\1)\5)-11 ((7+1)+11)+5 ((11+5)+7)+1
(11+5)+(7+1) ((11+5)+1)+7 ((11+7)+5)+1 (11+7)+(5+1) ((11+7)+1)+5 ((11+1)+5)+7 ((11+1)+7)+5 (11+1)+(7+5)
(11+1)*(7-5)
题目:1,5,7,12 共29个解
((5*1)+7)+12 ((5*1)_7)*12 ((5*1)+12)+7 ((7+5)*1)+12 ((7*5)+1)-12 ((7-5)*1)*12 ((7-5)\1)\12 ((7*5)-12)+1
(7*5)-(

12-1) (7*5)+(12_1) ((7*5)_12)_1 ((7+5)+12)*1 (7+5)+(12*1) ((7-5)*12)*1 (7-5)/(12\1) ((7*1)+5)+12
((7*1)-5)*12 ((7*1)+12)+5 ((12+5)+7)*1 (12+5)+(7*1) ((12+5)*1)+7 ((12-7)*5)-1 ((12+7)+5)*1 (12+7)+(5*1)
((12+7)*1)+5 ((12*1)+5)+7 ((12*1)+7)+5 (12*1)+(7+5) (12*1)*(7-5)
题目:1,5,7,13 共38个解
((5-1)+7)+13 ((5_1)_7)+13 ((5_1)-7)_13 ((5-1)+13)+7 ((5_1)_13)+7 ((5_1)-13)_7 (5_1)*(13_7) ((7+5)-1)+13
((7+5)_1)_13 ((7+5)+13)-1 (7+5)+(13-1) (7+5)-(13_1) (7_5)*(13_1) ((7-1)+5)+13 ((7_1)_5)+13 ((7_1)-5)_13
((7-1)+13)+5 ((7_1)_13)+5 ((7_1)-13)_5 ((13+5)+7)-1 (13+5)+(7-1) (13+5)-(7_1) ((13+5)-1)+7 ((13+5)_1)_7
((13+7)+5)-1 (13+7)+(5-1) (13-7)*(5-1) (13+7)-(5_1) ((13+7)-1)+5 ((13+7)_1)_5 ((13-1)+5)+7 ((13_1)_5)+7
((13_1)-5)_7 ((13-1)+7)+5 (13-1)+(7+5) ((13_1)_7)+5 (13-1)*(7-5) ((13_1)-7)_5
题目:1,5,8,8 共8个解
((5-1)*8)-8 ((5*1)_8)*8 ((8-5)*1)*8 ((8-5)\1)\8 ((8-5)*8)*1 (8-5)/(8\1) ((8*1)-5)*8 (8*1)*(8-5)

题目:1,5,8,9 共6个解 ((5+1)_9)*8 ((8\5)_1)\9 (8_5)*(9_1) ((9-5)-1)*8 ((9-1)-5)*8 (9-1)*(8-5)
题目:1,5,8,10 共16个解
((5+1)+8)+10 ((5+1)+10)+8 ((8+5)+1)+10 ((8+5)+10)+1 (8+5)+(10+1) ((8+1)+5)+10 ((8+1)+10)+5 ((10+5)+8)+1
(10+5)+(8+1) ((10+5)+1)+8 ((10/5)+1)*8 ((10+8)+5)+1 (10+8)+(5+1) ((10+8)+1)+5 ((10+1)+5)+8 ((10+1)+8)+5

题目:1,5,8,11 共16个解
((5*1)+8)+11 ((5*1)+11)+8 ((8+5)*1)+11 ((8+5)+11)*1 (8+5)+(11*1) ((8*1)+5)+11 ((8-1)*5)-11 ((8*1)+11)+5
((11+5)+8)*1 (11+5)+(8*1) ((11+5)*1)+8 ((11+8)+5)*1 (11+8)+(5*1) ((11+8)*1)+5 ((11*1)+5)+8 ((11*1)+8)+5

题目:1,5,8,12 共42个解
((5-1)+8)+12 ((5_1)_8)+12 ((5_1)-8)_12 ((5+1)_8)*12 ((5-1)\8)*12 ((5-1)/8)\12 ((5-1)+12)+8 ((5_1)_12)+8
(5+1)*(12-8) ((5_1)-12)_8 ((5-1)\12)*8 ((5-1)/12)\8 ((8+5)-1)+12 ((8+5)_1)_12 ((8-5)-1)*12 ((8+5)+12)-1
(8+5)+(12-1) (8+5)-(12_1) ((8-1)+5)+12 ((8_1)_5)+12 ((8_1)-5)_12 ((8-1)-5)*12 ((8-1)+12)+5 ((8_1)_12)+5
((8_1)-12)_5 ((12+5)+8)-1 (12+5)+(8-1) (12+5)-(8_1) ((12+5)-1)+8 ((12+5)_1)_8 ((12+8)+5)-1 (12+8)+(5-1)
(12*8)/(5-1) (12+8)-(5_1) ((12+8)-1)+5 ((12+8)_1)_5 ((12-1)+5)+8 ((12_1)_5)+8 ((12_1)-5)_8 ((12-1)+8)+5
((12_1)_8)+5 ((12_1)-8)_5
题目:1,5,8,13 共1个解 ((13-8)*5)-1
题目:1,5,9,9 共9个解
((5+1)+9)+9 ((9+5)+1)+9 ((9+5)+9)+1 (9+5)+(9+1) ((9+1)+5)+9 ((9+1)+9)+5 ((9+9)+5)+1 (9+9)+(5+1)
((9+9)+1)+5
题目:1,5,9,10 共15个解
((5*1)+9)+10 ((5*1)+10)+9 ((9+5)*1)+10 ((9+5)+10)*1 (9+5)+(10*1) ((9*1)+5)+10 ((9*1)+10)+5 ((10+5)+9)*1
(10+5)+(9*1) ((10+5)*1)+9 ((10+9)+5)*1 (10+9)+(5*1) ((10+9)*1)+5 ((10*1)+5)+9 ((10*1)+9)+5
题目:1,5,9,11 共33个解
((5-1)+9)+11 ((5_1)_9)+11 ((5_1)-9)_11 ((5-1)+11)+9 ((5_1)_11)+9 ((5_1)-11)_9 ((9+5)-1)+11 ((9+5)_1)_11
((9+5)+11)-1 (9+5)+(11-1) (9+5)-(11_1) ((9-1)+5)+11 ((9_1)_5)+11 ((9_1)-5)_11 ((9-1)+11)+5 ((9_1)_11)+5
((9_1)-11)_5 ((11+5)+9)-1 (11+5)+(9-1) (11+5)-(9_1) ((11+5)-1)+9 ((11+5)_1)_9 ((11+9)+5)-1 (11+9)+(5-1)
(11+9)-(5_1) ((11+9)-1)+5 ((11+9)_1)_5 ((11-1)+5)+9 ((11_1)_5)+9 ((11_1)-5)_9 ((11-1)+9)+5 ((11_1)_9)+5
((11_1)-9)_5
题目:1,5,9,12 共6

个解 ((5-1)*9)-12 ((9+1)/5)*12 ((9+1)\5)\12 ((9+1)*12)/5 (9+1)*(12/5) (9+1)/(12\5)
题目:1,5,9,13 共1个解 (5+1)*(13-9)
题目:1,5,10,10 共19个解
((5-1)+10)+10 ((5_1)_10)+10 ((5_1)-10)_10 ((10+5)-1)+10 ((10+5)_1)_10 ((10+5)+10)-1 (10+5)+(10-1) (10+5)-(10_1)
((10-1)+5)+10 ((10_1)_5)+10 ((10_1)-5)_10 ((10-1)+10)+5 ((10_1)_10)+5 ((10_1)-10)_5 ((10+10)+5)-1 (10+10)+(5-1)
(10+10)-(5_1) ((10+10)-1)+5 ((10+10)_1)_5
题目:1,5,10,11 共5个解 ((11+1)/5)*10 ((11+1)\5)\10 ((11+1)*10)/5 (11+1)*(10/5) (11+1)/(10\5)
题目:1,5,10,12 共42个解
((5\1)*10)*12 ((5*1)\10)*12 ((5*1)/10)\12 ((5\1)*12)*10 ((5*1)\12)*10 ((5*1)/12)\10 ((10/5)*1)*12 ((10\5)\1)*12
((10\5)_1)\12 ((10\5)*1)\12 ((10/5)\1)\12 ((10/5)*12)*1 ((10\5)\12)*1 (10/5)/(12\1) ((10\5)/12)\1 ((10*1)/5)*12
((10\1)*5)\12 ((10*1)\5)\12 ((10*1)*12)/5 (10*1)*(12/5) ((10\1)\12)/5 (10*1)/(12\5) ((12/5)*10)*1 ((12\5)\10)*1
(12/5)/(10\1) ((12\5)/10)\1 ((12/5)*1)*10 ((12\5)\1)*10 ((12\5)*1)\10 ((12/5)\1)\10 ((12*10)/5)*1 (12*10)/(5*1)
(12*10)*(5\1) ((12*10)\5)\1 ((12*10)*1)/5 ((12*1)/5)*10 ((12\1)*5)\10 ((12*1)\5)\10 ((12*1)*10)/5 (12*1)*(10/5)
((12\1)\10)/5 (12*1)/(10\5)
题目:1,5,10,13 共5个解 ((13-1)/5)*10 ((13-1)\5)\10 ((13-1)*10)/5 (13-1)*(10/5) (13-1)/(10\5)
题目:1,5,11,11 共1个解 ((11*11)-1)/5
题目:1,5,11,12 共5个解 ((11-1)/5)*12 ((11-1)\5)\12 ((11-1)*12)/5 (11-1)*(12/5) (11-1)/(12\5)
题目:1,5,11,13 共0个解
题目:1,5,12,12 共3个解 ((5+1)\12)*12 ((5+1)/12)\12 (12*12)/(5+1)
题目:1,5,12,13 共0个解
题目:1,5,13,13 共0个解
题目:1,6,6,6 共1个解 ((6-1)*6)-6
题目:1,6,6,7 共0个解
题目:1,6,6,8 共1个解 ((8\6)_1)\6
题目:1,6,6,9 共5个解 ((6_1)+9)*6 ((6-1)_9)*6 ((9-6)+1)*6 ((9_6)_1)*6 ((9+1)-6)*6
题目:1,6,6,10 共7个解 (6*1)*(10-6) ((6*1)_10)*6 ((10-6)*6)*1 (10-6)/(6\1) ((10-6)*1)*6 ((10-6)\1)\6 ((10*1)-6)*6
题目:1,6,6,11 共16个解
((6+1)+6)+11 ((6+1)+11)+6 ((6+1)_11)*6 ((6+6)+1)+11 ((6*6)-1)-11 ((6+6)+11)+1 (6+6)+(11+1) (6*6)-(11+1)
((6*6)-11)-1 ((11+6)+6)+1 (11+6)+(6+1) ((11+6)+1)+6 ((11-6)-1)*6 ((11+1)+6)+6 (11+1)+(6+6) ((11-1)-6)*6

题目:1,6,6,12 共16个解
((6*1)+6)+12 ((6*1)*6)-12 ((6\1)\6)-12 ((6*1)+12)+6 ((6+6)*1)+12 ((6*6)*1)-12 ((6/6)+1)*12 ((6+6)+12)*1
(6+6)+(12*1) ((6*6)-12)*1 (6*6)-(12*1) ((12+6)+6)*1 (12+6)+(6*1) ((12+6)*1)+6 ((12*1)+6)+6 (12*1)+(6+6)

题目:1,6,6,13 共25个解
((6-1)+6)+13 ((6_1)_6)+13 ((6_1)-6)_13 ((6-1)+13)+6 ((6_1)_13)+6 ((6_1)-13)_6 ((6+6)-1)+13 ((6*6)+1)-13
((6+6)_1)_13 ((6*6)-13)+1 ((6+6)+13)-1 (6+6)+(13-1) (6*6)-(13-1) (6*6)+(13_1) (6+6)-(13_1) ((6*6)_13)_1
((13+6)+6)-1 (13+6)+(6-1) (13+6)-(6_1) ((13+6)-1)+6 ((13+6)_1)_6 ((13-1)+6)+6 (13-1)+(6+6) ((13_1)_6)+6
((13_1)-6)_6
题目:1,6,7,7 共0个解
题目:1,6,7,8 共0个解
题目:1,6,7,9 共1个解 (7+1)*(9-6)
题目:1,6,7,10 共22个解
((6+1)+7)+10 ((6+1)+10)+7 ((7+6)+1)+10 ((7+6)+10)+1 (7+6)+(10+1) ((7+1)+6)+10 ((7+1)+10)+6 (7-1)*(10-6)
((7_1)+10)*6 ((7-1)_10)*6 ((10+6)+7)+1 (10+6)+(7+1) (10_

6)*(7_1) ((10+6)+1)+7 ((10+7)+6)+1 (10+7)+(6+1)
((10+7)+1)+6 ((10-7)+1)*6 ((10_7)_1)*6 ((10+1)+6)+7 ((10+1)+7)+6 ((10+1)-7)*6
题目:1,6,7,11 共23个解
((6*1)+7)+11 ((6-1)*7)-11 ((6*1)+11)+7 (6*1)*(11-7) ((7+6)*1)+11 ((7+6)+11)*1 (7+6)+(11*1) ((7*1)+6)+11
((7*1)+11)+6 ((7*1)_11)*6 ((11+6)+7)*1 (11+6)+(7*1) ((11+6)*1)+7 ((11+7)+6)*1 (11+7)+(6*1) ((11-7)*6)*1
(11-7)/(6\1) ((11+7)*1)+6 ((11-7)*1)*6 ((11-7)\1)\6 ((11*1)+6)+7 ((11*1)+7)+6 ((11*1)-7)*6
题目:1,6,7,12 共42个解
((6-1)+7)+12 ((6_1)_7)+12 ((6_1)-7)_12 ((6_1)+7)*12 ((6-1)_7)*12 ((6-1)+12)+7 ((6_1)_12)+7 ((6_1)-12)_7
((7+6)-1)+12 ((7+6)_1)_12 ((7-6)+1)*12 ((7_6)_1)*12 ((7+6)+12)-1 (7+6)+(12-1) (7+6)-(12_1) ((7-1)+6)+12
((7_1)_6)+12 ((7-1)*6)-12 ((7_1)-6)_12 ((7+1)-6)*12 ((7-1)+12)+6 ((7_1)_12)+6 ((7_1)-12)_6 ((7+1)_12)*6
((12+6)+7)-1 (12+6)+(7-1) (12+6)-(7_1) ((12+6)-1)+7 ((12+6)_1)_7 ((12+7)+6)-1 (12+7)+(6-1) (12+7)-(6_1)
((12+7)-1)+6 ((12+7)_1)_6 ((12-7)-1)*6 ((12-1)+6)+7 ((12_1)_6)+7 ((12_1)-6)_7 ((12-1)+7)+6 ((12_1)_7)+6
((12_1)-7)_6 ((12-1)-7)*6
题目:1,6,7,13 共0个解
题目:1,6,8,8 共6个解 ((6_1)+8)*8 ((6-1)_8)*8 ((8-6)+1)*8 ((8_6)_1)*8 ((8/6)-1)\8 ((8+1)-6)*8
题目:1,6,8,9 共23个解
((6+1)+8)+9 ((6+1)+9)+8 ((6*1)_9)*8 ((8+6)+1)+9 ((8+6)+9)+1 (8+6)+(9+1) ((8+1)+6)+9 ((8+1)+9)+6
(8*1)*(9-6) ((9+6)+8)+1 (9+6)+(8+1) ((9-6)*8)*1 (9-6)/(8\1) ((9+6)+1)+8 ((9-6)*1)*8 ((9\6)_1)\8
((9-6)\1)\8 ((9+8)+6)+1 (9+8)+(6+1) ((9+8)+1)+6 ((9+1)+6)+8 ((9*1)-6)*8 ((9+1)+8)+6
题目:1,6,8,10 共19个解
((6*1)+8)+10 ((6*1)+10)+8 ((6+1)_10)*8 ((8+6)*1)+10 ((8+6)+10)*1 (8+6)+(10*1) ((8*1)+6)+10 ((8*1)+10)+6
((10+6)+8)*1 (10+6)+(8*1) ((10+6)*1)+8 ((10-6)-1)*8 ((10+8)+6)*1 (10+8)+(6*1) ((10+8)*1)+6 ((10/8)-1)\6
((10*1)+6)+8 ((10-1)-6)*8 ((10*1)+8)+6
题目:1,6,8,11 共39个解
((6-1)+8)+11 ((6_1)_8)+11 ((6_1)-8)_11 ((6-1)+11)+8 ((6_1)_11)+8 ((6_1)-11)_8 ((8+6)-1)+11 ((8+6)_1)_11
((8+6)+11)-1 (8+6)+(11-1) (8+6)-(11_1) ((8-1)+6)+11 ((8_1)_6)+11 ((8_1)-6)_11 ((8-1)+11)+6 ((8_1)_11)+6
((8_1)-11)_6 ((8_1)+11)*6 ((8-1)_11)*6 ((11+6)+8)-1 (11+6)+(8-1) (11+6)-(8_1) ((11+6)-1)+8 ((11+6)_1)_8
((11+8)+6)-1 (11+8)+(6-1) (11+8)-(6_1) ((11+8)-1)+6 ((11+8)_1)_6 ((11-8)+1)*6 ((11_8)_1)*6 ((11-1)+6)+8
((11_1)_6)+8 ((11_1)-6)_8 ((11-1)+8)+6 ((11_1)_8)+6 (11+1)*(8-6) ((11_1)-8)_6 ((11+1)-8)*6
题目:1,6,8,12 共15个解
((6*1)_8)*12 (6*1)*(12-8) ((8-6)*1)*12 ((8-6)\1)\12 ((8-6)*12)*1 (8-6)/(12\1) ((8*1)-6)*12 ((8*1)_12)*6
((12/6)+1)*8 ((12-8)*6)*1 (12-8)/(6\1) ((12-8)*1)*6 ((12-8)\1)\6 (12*1)*(8-6) ((12*1)-8)*6
题目:1,6,8,13 共5个解 (8_6)*(13_1) ((8+1)_13)*6 ((13-8)-1)*6 (13-1)*(8-6) ((13-1)-8)*6
题目:1,6,9,9 共11个解
((6*1)+9)+9 ((9+6)*1)+9 (9_6)*(9_1) ((9+6)+9)*1 (9+6)+(9*1) ((9*1)+6)+9 ((9*1)+9)+6 (9-1)*(9-6)
((9+9)+6)*1 (9+9)+(6*1) ((9+9)*1)+6
题目:1,6,9,10 共34个解
((6-1)+9)+10 ((6_1)_9)+10 ((6_1)-9)_10 ((6-1)+10)+9 ((6_1)_10)+9 ((6_1)-10)_9 ((9+6)-1)+10 ((9+6)_1)_10
((9+6)+10)-1 (9+6)+(10-1) (9+6)-(10_1) ((9-1)+6)+10 ((9_1)_6)+10

((9_1)-6)_10 ((9-1)+10)+6 ((9_1)_10)+6
((9_1)-10)_6 ((10+6)+9)-1 (10+6)+(9-1) (10+6)-(9_1) ((10+6)-1)+9 ((10+6)_1)_9 ((10/6)+1)*9 ((10+9)+6)-1
(10+9)+(6-1) (10+9)-(6_1) ((10+9)-1)+6 ((10+9)_1)_6 ((10-1)+6)+9 ((10_1)_6)+9 ((10_1)-6)_9 ((10-1)+9)+6
((10_1)_9)+6 ((10_1)-9)_6
题目:1,6,9,11 共0个解
题目:1,6,9,12 共10个解
((6+1)_9)*12 ((9-6)-1)*12 ((9/6)-1)\12 ((9-1)-6)*12 ((9_1)+12)*6 ((9-1)_12)*6 ((12-9)+1)*6 ((12_9)_1)*6
((12\9)_1)\6 ((12+1)-9)*6
题目:1,6,9,13 共7个解 (6*1)*(13-9) ((9*1)_13)*6 ((13-9)*6)*1 (13-9)/(6\1) ((13-9)*1)*6 ((13-9)\1)\6 ((13*1)-9)*6
题目:1,6,10,10 共0个解
题目:1,6,10,11 共0个解
题目:1,6,10,12 共5个解 ((6-1)\10)*12 ((6-1)/10)\12 ((6-1)\12)*10 ((6-1)/12)\10 (12*10)/(6-1)
题目:1,6,10,13 共5个解 ((10_1)+13)*6 ((10-1)_13)*6 ((13-10)+1)*6 ((13_10)_1)*6 ((13+1)-10)*6
题目:1,6,11,11 共0个解
题目:1,6,11,12 共5个解 ((11+1)/6)*12 ((11+1)\6)\12 ((11+1)*12)/6 (11+1)*(12/6) (11+1)/(12\6)
题目:1,6,11,13 共1个解 ((13*11)+1)/6
题目:1,6,12,12 共24个解
((6\1)*12)*12 ((6*1)\12)*12 ((6*1)/12)\12 ((12/6)*1)*12 ((12\6)\1)*12 ((12\6)_1)\12 ((12\6)*1)\12 ((12/6)\1)\12
((12/6)*12)*1 ((12\6)\12)*1 (12/6)/(12\1) ((12\6)/12)\1 ((12*1)/6)*12 ((12\1)*6)\12 ((12*1)\6)\12 ((12*1)*12)/6
(12*1)*(12/6) ((12\1)\12)/6 (12*1)/(12\6) ((12*12)/6)*1 (12*12)/(6*1) (12*12)*(6\1) ((12*12)\6)\1 ((12*12)*1)/6

题目:1,6,12,13 共5个解 ((13-1)/6)*12 ((13-1)\6)\12 ((13-1)*12)/6 (13-1)*(12/6) (13-1)/(12\6)
题目:1,6,13,13 共0个解
题目:1,7,7,7 共0个解
题目:1,7,7,8 共0个解
题目:1,7,7,9 共9个解
((7+1)+7)+9 ((7+1)+9)+7 ((7+7)+1)+9 ((7+7)+9)+1 (7+7)+(9+1) ((9+7)+7)+1 (9+7)+(7+1) ((9+7)+1)+7
((9+1)+7)+7
题目:1,7,7,10 共10个解
((7*1)+7)+10 ((7*1)+10)+7 (7+1)*(10-7) ((7+7)*1)+10 ((7+7)+10)*1 (7+7)+(10*1) ((10+7)+7)*1 (10+7)+(7*1)
((10+7)*1)+7 ((10*1)+7)+7
题目:1,7,7,11 共21个解
((7-1)+7)+11 ((7_1)_7)+11 ((7_1)-7)_11 ((7-1)+11)+7 ((7_1)_11)+7 (7-1)*(11-7) ((7_1)-11)_7 ((7+7)-1)+11
((7+7)_1)_11 ((7+7)+11)-1 (7+7)+(11-1) (7+7)-(11_1) ((11+7)+7)-1 (11+7)+(7-1) (11+7)-(7_1) (11_7)*(7_1)
((11+7)-1)+7 ((11+7)_1)_7 ((11-1)+7)+7 ((11_1)_7)+7 ((11_1)-7)_7
题目:1,7,7,12 共1个解 ((7/7)+1)*12
题目:1,7,7,13 共0个解
题目:1,7,8,8 共9个解
((7+1)+8)+8 ((8+7)+1)+8 ((8+7)+8)+1 (8+7)+(8+1) ((8+1)+7)+8 ((8+1)+8)+7 ((8+8)+7)+1 (8+8)+(7+1)
((8+8)+1)+7
题目:1,7,8,9 共20个解
((7*1)+8)+9 ((7*1)+9)+8 ((7_1)+9)*8 ((7-1)_9)*8 ((8+7)*1)+9 ((8+7)+9)*1 (8+7)+(9*1) ((8*1)+7)+9
((8*1)+9)+7 ((9+7)+8)*1 (9+7)+(8*1) ((9+7)*1)+8 ((9-7)+1)*8 ((9_7)_1)*8 ((9+8)+7)*1 (9+8)+(7*1)
((9+8)*1)+7 ((9*1)+7)+8 ((9+1)-7)*8 ((9*1)+8)+7
题目:1,7,8,10 共40个解
((7-1)+8)+10 ((7_1)_8)+10 ((7_1)-8)_10 ((7-1)+10)+8 ((7_1)_10)+8 ((7_1)-10)_8 ((7*1)_10)*8 ((8+7)-1)+10
((8+7)_1)_10 ((8+7)+10)-1 (8+7)+(10-1) (8+7)-(10_1) ((8-1)+7)+10 ((8_1)_7)+10 ((8_1)-7)_10 ((8-1)+10)+7
((8_1)_10)+7 (8*1)*(10-7) ((8_1)-10)_7 ((10+7)+8)-1 (10+7)+(8-1) (10+7)-(8_1) ((10-7)*8)*1 (

10-7)/(8\1)
((10+7)-1)+8 ((10+7)_1)_8 ((10-7)*1)*8 ((10-7)\1)\8 ((10+8)+7)-1 (10+8)+(7-1) (10+8)-(7_1) ((10+8)-1)+7
((10+8)_1)_7 ((10-1)+7)+8 ((10_1)_7)+8 ((10_1)-7)_8 ((10*1)-7)*8 ((10-1)+8)+7 ((10_1)_8)+7 ((10_1)-8)_7

题目:1,7,8,11 共4个解 (7+1)*(11-8) ((7+1)_11)*8 ((11-7)-1)*8 ((11-1)-7)*8
题目:1,7,8,12 共7个解 ((7_1)+8)*12 ((7-1)_8)*12 (7-1)*(12-8) ((8-7)+1)*12 ((8_7)_1)*12 ((8+1)-7)*12 (12_8)*(7_1)
题目:1,7,8,13 共0个解
题目:1,7,9,9 共19个解
((7-1)+9)+9 ((7_1)_9)+9 ((7_1)-9)_9 ((9+7)-1)+9 ((9+7)_1)_9 ((9+7)+9)-1 (9+7)+(9-1) (9+7)-(9_1)
((9-1)+7)+9 ((9_1)_7)+9 ((9_1)-7)_9 ((9-1)+9)+7 ((9_1)_9)+7 ((9_1)-9)_7 ((9+9)+7)-1 (9+9)+(7-1)
(9+9)-(7_1) ((9+9)-1)+7 ((9+9)_1)_7
题目:1,7,9,10 共2个解 (9-1)*(10-7) (10_7)*(9_1)
题目:1,7,9,11 共1个解 (11+1)*(9-7)
题目:1,7,9,12 共8个解
((7*1)_9)*12 (7+1)*(12-9) ((9-7)*1)*12 ((9-7)\1)\12 ((9-7)*12)*1 (9-7)/(12\1) ((9*1)-7)*12 (12*1)*(9-7)

题目:1,7,9,13 共4个解 (7-1)*(13-9) (9_7)*(13_1) (13_9)*(7_1) (13-1)*(9-7)
题目:1,7,10,10 共0个解
题目:1,7,10,11 共0个解
题目:1,7,10,12 共4个解 ((7+1)_10)*12 ((10-7)-1)*12 ((10-1)-7)*12 ((12\7)_1)\10
题目:1,7,10,13 共1个解 (7+1)*(13-10)
题目:1,7,11,11 共0个解
题目:1,7,11,12 共0个解
题目:1,7,11,13 共0个解
题目:1,7,12,12 共3个解 ((7-1)\12)*12 ((7-1)/12)\12 (12*12)/(7-1)
题目:1,7,12,13 共5个解 ((13+1)/7)*12 ((13+1)\7)\12 ((13+1)*12)/7 (13+1)*(12/7) (13+1)/(12\7)
题目:1,7,13,13 共1个解 ((13*13)-1)/7
题目:1,8,8,8 共4个解 ((8*1)+8)+8 ((8+8)*1)+8 ((8+8)+8)*1 (8+8)+(8*1)
题目:1,8,8,9 共19个解
((8-1)+8)+9 ((8_1)_8)+9 ((8_1)-8)_9 ((8-1)+9)+8 ((8_1)_9)+8 ((8_1)-9)_8 ((8+8)-1)+9 ((8+8)_1)_9
((8+8)+9)-1 (8+8)+(9-1) (8+8)-(9_1) ((9+8)+8)-1 (9+8)+(8-1) (9+8)-(8_1) ((9+8)-1)+8 ((9+8)_1)_8
((9-1)+8)+8 ((9_1)_8)+8 ((9_1)-8)_8
题目:1,8,8,10 共5个解 ((8_1)+10)*8 ((8-1)_10)*8 ((10-8)+1)*8 ((10_8)_1)*8 ((10+1)-8)*8
题目:1,8,8,11 共7个解 (8*1)*(11-8) ((8*1)_11)*8 ((11-8)*8)*1 (11-8)/(8\1) ((11-8)*1)*8 ((11-8)\1)\8 ((11*1)-8)*8
题目:1,8,8,12 共5个解 ((8+1)_12)*8 ((8/8)+1)*12 ((12-8)-1)*8 ((12\8)_1)\8 ((12-1)-8)*8
题目:1,8,8,13 共0个解
题目:1,8,9,9 共0个解
题目:1,8,9,10 共0个解
题目:1,8,9,11 共8个解
(9-1)*(11-8) ((9_1)+11)*8 ((9-1)_11)*8 (11_8)*(9_1) ((11/8)-1)\9 ((11-9)+1)*8 ((11_9)_1)*8 ((11+1)-9)*8

题目:1,8,9,12 共13个解
((8_1)+9)*12 ((8-1)_9)*12 (8*1)*(12-9) ((9-8)+1)*12 ((9_8)_1)*12 ((9+1)-8)*12 ((9*1)_12)*8 ((12-9)*8)*1
(12-9)/(8\1) ((12-9)*1)*8 ((12/9)-1)\8 ((12-9)\1)\8 ((12*1)-9)*8
题目:1,8,9,13 共3个解 ((9+1)_13)*8 ((13-9)-1)*8 ((13-1)-9)*8
题目:1,8,10,10 共0个解
题目:1,8,10,11 共1个解 (11+1)*(10-8)
题目:1,8,10,12 共12个解
((8*1)_10)*12 ((10-8)*1)*12 ((10-8)\1)\12 ((10-8)*12)*1 (10-8)/(12\1) ((10*1)-8)*12 ((10_1)+12)*8 ((10-1)_12)*8
((12-10)+1)*8 ((12_10)_1)*8 (12*1)*(10-8) ((12+1)-10)*8
题目:1,8,10,13 共9个解
(8*1)*(13-10) (10_8)*(13_1) ((10*1)_13)*8 ((13-10)*8)

相关文档