Question

24点游戏 1234，2345，3456，4567，5678，6789。能有几种解法写几种

Answer 1

((1+2)+3)*4
(1+(2+3))*4
((1*2)*3)*4
1*((2*3)*4)
(1*(2*3))*4
1*(2*(3*4))
(1*2)*(3*4)
((1*2)*4)*3
1*((2*4)*3)
(1*(2*4))*3
1*(2*(4*3))
(1*2)*(4*3)
((1+3)+2)*4
(1+(3+2))*4
(1+3)*(2+4)
((1*3)*2)*4
1*((3*2)*4)
(1*(3*2))*4
1*(3*(2*4))
(1*3)*(2*4)
(1+3)*(4+2)
((1*3)*4)*2
1*((3*4)*2)
(1*(3*4))*2
1*(3*(4*2))
(1*3)*(4*2)
((1*4)*2)*3
1*((4*2)*3)
(1*(4*2))*3
1*(4*(2*3))
(1*4)*(2*3)
((1*4)*3)*2
1*((4*3)*2)
(1*(4*3))*2
1*(4*(3*2))
(1*4)*(3*2)
((2+1)+3)*4
(2+(1+3))*4
2/((1/3)/4)
(2/(1/3))*4
2/(1/(3*4))
((2/1)*3)*4
(2/1)*(3*4)
((2*1)*3)*4
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))
((2/1)*4)*3
(2/1)*(4*3)
((2*1)*4)*3
2*((1*4)*3)
(2*(1*4))*3
2*(1*(4*3))
(2*1)*(4*3)
((2+3)+1)*4
(2+(3+1))*4
2*(3/(1/4))
(2*3)/(1/4)
((2*3)/1)*4
2*((3/1)*4)
(2*(3/1))*4
((2*3)*1)*4
2*((3*1)*4)
(2*(3*1))*4
2*(3*(1*4))
(2*3)*(1*4)
((2*3)*4)/1
2*((3*4)/1)
(2*(3*4))/1
2*(3*(4/1))
(2*3)*(4/1)
((2*3)*4)*1
2*((3*4)*1)
(2*(3*4))*1
2*(3*(4*1))
(2*3)*(4*1)
(2+4)*(1+3)
2*(4/(1/3))
(2*4)/(1/3)
((2*4)/1)*3
2*((4/1)*3)
(2*(4/1))*3
((2*4)*1)*3
2*((4*1)*3)
(2*(4*1))*3
2*(4*(1*3))
(2*4)*(1*3)
(2+4)*(3+1)
((2*4)*3)/1
2*((4*3)/1)
(2*(4*3))/1
2*(4*(3/1))
(2*4)*(3/1)
((2*4)*3)*1
2*((4*3)*1)
(2*(4*3))*1
2*(4*(3*1))
(2*4)*(3*1)
((3+1)+2)*4
(3+(1+2))*4
(3+1)*(2+4)
3/((1/2)/4)
(3/(1/2))*4
3/(1/(2*4))
((3/1)*2)*4
(3/1)*(2*4)
((3*1)*2)*4
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
3/(1/(4*2))
((3/1)*4)*2
(3/1)*(4*2)
((3*1)*4)*2
3*((1*4)*2)
(3*(1*4))*2
3*(1*(4*2))
(3*1)*(4*2)
((3+2)+1)*4
(3+(2+1))*4
3*(2/(1/4))
(3*2)/(1/4)
((3*2)/1)*4
3*((2/1)*4)
(3*(2/1))*4
((3*2)*1)*4
3*((2*1)*4)
(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*(2*(4/1))
(3*2)*(4/1)
((3*2)*4)*1
3*((2*4)*1)
(3*(2*4))*1
3*(2*(4*1))
(3*2)*(4*1)
3*(4/(1/2))
(3*4)/(1/2)
((3*4)/1)*2
3*((4/1)*2)
(3*(4/1))*2
((3*4)*1)*2
3*((4*1)*2)
(3*(4*1))*2
3*(4*(1*2))
(3*4)*(1*2)
((3*4)*2)/1
3*((4*2)/1)
(3*(4*2))/1
3*(4*(2/1))
(3*4)*(2/1)
((3*4)*2)*1
3*((4*2)*1)
(3*(4*2))*1
3*(4*(2*1))
(3*4)*(2*1)
4/((1/2)/3)
(4/(1/2))*3
4/(1/(2*3))
((4/1)*2)*3
(4/1)*(2*3)
4*((1+2)+3)
4*(1+(2+3))
((4*1)*2)*3
4*((1*2)*3)
(4*(1*2))*3
4*(1*(2*3))
(4*1)*(2*3)
4/((1/3)/2)
(4/(1/3))*2
4/(1/(3*2))
((4/1)*3)*2
(4/1)*(3*2)
4*((1+3)+2)
4*(1+(3+2))
((4*1)*3)*2
4*((1*3)*2)
(4*(1*3))*2
4*(1*(3*2))
(4*1)*(3*2)
(4+2)*(1+3)
4*((2+1)+3)
4*(2+(1+3))
4*(2/(1/3))
(4*2)/(1/3)
((4*2)/1)*3
4*((2/1)*3)
(4*(2/1))*3
((4*2)*1)*3
4*((2*1)*3)
(4*(2*1))*3
4*(2*(1*3))
(4*2)*(1*3)
(4+2)*(3+1)
4*((2+3)+1)
4*(2+(3+1))
((4*2)*3)/1
4*((2*3)/1)
(4*(2*3))/1
4*(2*(3/1))
(4*2)*(3/1)
((4*2)*3)*1
4*((2*3)*1)
(4*(2*3))*1
4*(2*(3*1))
(4*2)*(3*1)
4*((3+1)+2)
4*(3+(1+2))
4*(3/(1/2))
(4*3)/(1/2)
((4*3)/1)*2
4*((3/1)*2)
(4*(3/1))*2
((4*3)*1)*2
4*((3*1)*2)
(4*(3*1))*2
4*(3*(1*2))
(4*3)*(1*2)
4*((3+2)+1)
4*(3+(2+1))
((4*3)*2)/1
4*((3*2)/1)
(4*(3*2))/1
4*(3*(2/1))
(4*3)*(2/1)
((4*3)*2)*1
4*((3*2)*1)
(4*(3*2))*1
4*(3*(2*1))
(4*3)*(2*1)

(5-(2-3))*4
((5-2)+3)*4
((5+3)-2)*4
(5+(3-2))*4
((5+3)+4)*2
(5+(3+4))*2
((5+4)+3)*2
(5+(4+3))*2
2*((5+3)+4)
2*(5+(3+4))
2*((5+4)+3)
2*(5+(4+3))
2*((3+5)+4)
2*(3+(5+4))
2*((3+4)+5)
2*(3+(4+5))
2*((4+5)+3)
2*(4+(5+3))
2*((4+3)+5)
2*(4+(3+5))
((3+5)-2)*4
(3+(5-2))*4
((3+5)+4)*2
(3+(5+4))*2
(3-(2-5))*4
((3-2)+5)*4
((3+4)+5)*2
(3+(4+5))*2
4*(5-(2-3))
4*((5-2)+3)
((4+5)+3)*2
(4+(5+3))*2
4*((5+3)-2)
4*(5+(3-2))
((4+3)+5)*2
(4+(3+5))*2
4*((3+5)-2)
4*(3+(5-2))
4*(3-(2-5))
4*((3-2)+5)

((5+3)-4)*6
(5+(3-4))*6
(5-(4-3))*6
((5-4)+3)*6
6*((5+3)-4)
6*(5+(3-4))
6*(5-(4-3))
6*((5-4)+3)
6*((3+5)-4)
6*(3+(5-4))
6*(3-(4-5))
6*((3-4)+5)
((3+5)-4)*6
(3+(5-4))*6
(3-(4-5))*6
((3-4)+5)*6

(5-(6-7))*4
((5-6)+7)*4
((5+7)-6)*4
(5+(7-6))*4
(5+7)*(6-4)
(6-4)*(5+7)
(6-4)*(7+5)
((7+5)-6)*4
(7+(5-6))*4
(7+5)*(6-4)
(7-(6-5))*4
((7-6)+5)*4
4*(5-(6-7))
4*((5-6)+7)
4*((5+7)-6)
4*(5+(7-6))
4*((7+5)-6)
4*(7+(5-6))
4*(7-(6-5))
4*((7-6)+5)

((5+7)-8)*6
(5+(7-8))*6
(5+7)*(8-6)
(5-(8-7))*6
((5-8)+7)*6
6*((5+7)-8)
6*(5+(7-8))
6*(5-(8-7))
6*((5-8)+7)
6/((7-5)/8)
(6/(7-5))*8
6*((7+5)-8)
6*(7+(5-8))
6*(7-(8-5))
6*((7-8)+5)
6*(8/(7-5))
(6*8)/(7-5)
((7+5)-8)*6
(7+(5-8))*6
(7+5)*(8-6)
(7-(8-5))*6
((7-8)+5)*6
(8-6)*(5+7)
(8-6)*(7+5)
8*(6/(7-5))
(8*6)/(7-5)
8/((7-5)/6)
(8/(7-5))*6

6/((9-7)/8)
(6/(9-7))*8
6*(8/(9-7))
(6*8)/(9-7)
8/((9-7)/6)
(8/(9-7))*6
8*(6/(9-7))
(8*6)/(9-7)