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VB穷举计算24点的方法?

答案:3  悬赏:30  
解决时间 2021-02-26 22:08
VB穷举计算24点的方法?
最佳答案
VB源码已发到你的邮箱, 我自己写的,比较容易懂.
全部回答
总的算法有3888种,去掉相同的就只有下面1170种
(a+b)+(c+d)
(a+b)+(c-d)
((a-b)+c)+d
((a-c)+b)+d
((b-a)+c)+d
(a+b)+(c*d)
((a*b)+c)+d
(a+c)+(b*d)
((a*c)+b)+d
(a+d)+(b*c)
((a*d)+b)+c
(a+b)+(c/d)
((a/b)+c)+d
(a+c)+(b/d)
((a/c)+b)+d
(a+d)+(b/c)
((a/d)+b)+c
(a+b)+(d/c)
((b/a)+c)+d
(a+c)+(d/b)
((c/a)+b)+d
(a+d)+(c/b)
((d/a)+b)+c
(a-b)+(c-d)
((a-b)-c)+d
(a-c)+(b-d)
((b-c)-a)+d
((b-d)-a)+c
((c-a)-b)+d
(a-b)+(c*d)
((a*b)-c)+d
((a*b)-d)+c
(a-c)+(b*d)
((a*c)-b)+d
((a*c)-d)+b
(a-d)+(b*c)
((a*d)-b)+c
((a*d)-c)+b
((b*c)-a)+d
((b*d)-a)+c
((c*d)-a)+b
(a-b)+(c/d)
((a/b)-c)+d
((a/b)-d)+c
(a-c)+(b/d)
((a/c)-b)+d
((a/c)-d)+b
(a-d)+(b/c)
((a/d)-b)+c
((a/d)-c)+b
((b/c)-a)+d
((b/d)-a)+c
((c/d)-a)+b
(a-b)+(d/c)
((b/a)-c)+d
((b/a)-d)+c
(a-c)+(d/b)
((c/a)-b)+d
((c/a)-d)+b
(a-d)+(c/b)
((d/a)-b)+c
((d/a)-c)+b
((c/b)-a)+d
((d/b)-a)+c
((d/c)-a)+b
(c-(a*b))+d
(b-(a*c))+d
(b-(a*d))+c
(a-(b*c))+d
(a-(b*d))+c
(a-(c*d))+b
(c-(a/b))+d
(b-(a/c))+d
(b-(a/d))+c
(a-(b/c))+d
(a-(b/d))+c
(a-(c/d))+b
(c-(b/a))+d
(b-(c/a))+d
(b-(d/a))+c
(a-(c/b))+d
(a-(d/b))+c
(a-(d/c))+b
((a+b)*c)+d
((a+b)*d)+c
((a+c)*b)+d
((a+c)*d)+b
((a+d)*b)+c
((a+d)*c)+b
((b+c)*a)+d
((b+c)*d)+a
((b+d)*a)+c
((b+d)*c)+a
((c+d)*a)+b
((c+d)*b)+a
((a-b)*c)+d
((a-b)*d)+c
((a-c)*b)+d
((a-c)*d)+b
((a-d)*b)+c
((a-d)*c)+b
((b-c)*a)+d
((b-c)*d)+a
((b-d)*a)+c
((b-d)*c)+a
((c-d)*a)+b
((c-d)*b)+a
((b-a)*c)+d
((b-a)*d)+c
((c-a)*b)+d
((c-a)*d)+b
((d-a)*b)+c
((d-a)*c)+b
((c-b)*a)+d
((c-b)*d)+a
((d-b)*a)+c
((d-b)*c)+a
((d-c)*a)+b
((d-c)*b)+a
(a*b)+(c*d)
((a*b)*c)+d
((a*b)*d)+c
(a*c)+(b*d)
((a*c)*d)+b
(a*d)+(b*c)
((b*c)*d)+a
(a*b)+(c/d)
((a/b)*c)+d
((a/b)*d)+c
(a*c)+(b/d)
((a/c)*b)+d
((a/c)*d)+b
(a*d)+(b/c)
((a/d)*b)+c
((a/d)*c)+b
(b*c)+(a/d)
((b/c)*d)+a
(b*d)+(a/c)
((b/d)*c)+a
(c*d)+(a/b)
(a*b)+(d/c)
((b/a)*c)+d
((b/a)*d)+c
(a*c)+(d/b)
((c/a)*d)+b
(a*d)+(c/b)
(b*c)+(d/a)
((c/b)*d)+a
(b*d)+(c/a)
(c*d)+(b/a)
((a+b)/c)+d
((a+b)/d)+c
((a+c)/b)+d
((a+c)/d)+b
((a+d)/b)+c
((a+d)/c)+b
((b+c)/a)+d
((b+c)/d)+a
((b+d)/a)+c
((b+d)/c)+a
((c+d)/a)+b
((c+d)/b)+a
((a-b)/c)+d
((a-b)/d)+c
((a-c)/b)+d
((a-c)/d)+b
((a-d)/b)+c
((a-d)/c)+b
((b-c)/a)+d
((b-c)/d)+a
((b-d)/a)+c
((b-d)/c)+a
((c-d)/a)+b
((c-d)/b)+a
((b-a)/c)+d
((b-a)/d)+c
((c-a)/b)+d
((c-a)/d)+b
((d-a)/b)+c
((d-a)/c)+b
((c-b)/a)+d
((c-b)/d)+a
((d-b)/a)+c
((d-b)/c)+a
((d-c)/a)+b
((d-c)/b)+a
(a/b)+(c/d)
((a/b)/c)+d
((a/b)/d)+c
(a/c)+(b/d)
((a/c)/d)+b
(a/d)+(b/c)
((b/c)/a)+d
((b/c)/d)+a
((b/d)/a)+c
((c/d)/a)+b
((c/d)/b)+a
(a/b)+(d/c)
(a/c)+(d/b)
((c/a)/b)+d
(a/d)+(c/b)
((d/a)/b)+c
((d/a)/c)+b
(b/c)+(d/a)
(b/d)+(c/a)
((d/b)/c)+a
(c/d)+(b/a)
(c/(a+b))+d
(d/(a+b))+c
(b/(a+c))+d
(d/(a+c))+b
(b/(a+d))+c
(c/(a+d))+b
(a/(b+c))+d
(d/(b+c))+a
(a/(b+d))+c
(c/(b+d))+a
(a/(c+d))+b
(b/(c+d))+a
(c/(a-b))+d
(d/(a-b))+c
(b/(a-c))+d
(d/(a-c))+b
(b/(a-d))+c
(c/(a-d))+b
(a/(b-c))+d
(d/(b-c))+a
(a/(b-d))+c
(c/(b-d))+a
(a/(c-d))+b
(b/(c-d))+a
(c/(b-a))+d
(d/(b-a))+c
(b/(c-a))+d
(d/(c-a))+b
(b/(d-a))+c
(c/(d-a))+b
(a/(c-b))+d
(d/(c-b))+a
(a/(d-b))+c
(c/(d-b))+a
(a/(d-c))+b
(b/(d-c))+a
(b/a)+(d/c)
(c/a)+(d/b)
(d/a)+(c/b)
(a-b)-(c+d)
(b-c)-(a+d)
(c-d)-(a+b)
((d-a)-b)-c
(a-b)-(c*d)
((a*b)-c)-d
(a-c)-(b*d)
((a*c)-b)-d
(a-d)-(b*c)
((a*d)-b)-c
(b-c)-(a*d)
((b*c)-a)-d
(b-d)-(a*c)
((b*d)-a)-c
(c-d)-(a*b)
((c*d)-a)-b
(a-b)-(c/d)
((a/b)-c)-d
(a-c)-(b/d)
((a/c)-b)-d
(a-d)-(b/c)
((a/d)-b)-c
(b-c)-(a/d)
((b/c)-a)-d
(b-d)-(a/c)
((b/d)-a)-c
(c-d)-(a/b)
((c/d)-a)-b
(a-b)-(d/c)
((b/a)-c)-d
(a-c)-(d/b)
((c/a)-b)-d
(a-d)-(c/b)
((d/a)-b)-c
(b-c)-(d/a)
((c/b)-a)-d
(b-d)-(c/a)
((d/b)-a)-c
(c-d)-(b/a)
((d/c)-a)-b
(b-a)-(c*d)
(d-(a*b))-c
(c-a)-(b*d)
(d-(a*c))-b
(d-a)-(b*c)
(c-(a*d))-b
(b-a)-(c/d)
(d-(a/b))-c
(c-a)-(b/d)
(d-(a/c))-b
(d-a)-(b/c)
(c-(a/d))-b
(b-a)-(d/c)
(d-(b/a))-c
(c-a)-(d/b)
(d-(c/a))-b
(d-a)-(c/b)
(c-(d/a))-b
((a+b)*c)-d
((a+b)*d)-c
((a+c)*b)-d
((a+c)*d)-b
((a+d)*b)-c
((a+d)*c)-b
((b+c)*a)-d
((b+c)*d)-a
((b+d)*a)-c
((b+d)*c)-a
((c+d)*a)-b
((c+d)*b)-a
((a-b)*c)-d
((a-b)*d)-c
((a-c)*b)-d
((a-c)*d)-b
((a-d)*b)-c
((a-d)*c)-b
((b-c)*a)-d
((b-c)*d)-a
((b-d)*a)-c
((b-d)*c)-a
((c-d)*a)-b
((c-d)*b)-a
((b-a)*c)-d
((b-a)*d)-c
((c-a)*b)-d
((c-a)*d)-b
((d-a)*b)-c
((d-a)*c)-b
((c-b)*a)-d
((c-b)*d)-a
((d-b)*a)-c
((d-b)*c)-a
((d-c)*a)-b
((d-c)*b)-a
(a*b)-(c*d)
((a*b)*c)-d
((a*b)*d)-c
(a*c)-(b*d)
((a*c)*d)-b
(a*d)-(b*c)
(b*c)-(a*d)
((b*c)*d)-a
(b*d)-(a*c)
(c*d)-(a*b)
(a*b)-(c/d)
((a/b)*c)-d
((a/b)*d)-c
(a*c)-(b/d)
((a/c)*b)-d
((a/c)*d)-b
(a*d)-(b/c)
((a/d)*b)-c
((a/d)*c)-b
(b*c)-(a/d)
((b/c)*d)-a
(b*d)-(a/c)
((b/d)*c)-a
(c*d)-(a/b)
(a*b)-(d/c)
((b/a)*c)-d
((b/a)*d)-c
(a*c)-(d/b)
((c/a)*d)-b
(a*d)-(c/b)
(b*c)-(d/a)
((c/b)*d)-a
(b*d)-(c/a)
(c*d)-(b/a)
((a+b)/c)-d
((a+b)/d)-c
((a+c)/b)-d
((a+c)/d)-b
((a+d)/b)-c
((a+d)/c)-b
((b+c)/a)-d
((b+c)/d)-a
((b+d)/a)-c
((b+d)/c)-a
((c+d)/a)-b
((c+d)/b)-a
((a-b)/c)-d
((a-b)/d)-c
((a-c)/b)-d
((a-c)/d)-b
((a-d)/b)-c
((a-d)/c)-b
((b-c)/a)-d
((b-c)/d)-a
((b-d)/a)-c
((b-d)/c)-a
((c-d)/a)-b
((c-d)/b)-a
((b-a)/c)-d
((b-a)/d)-c
((c-a)/b)-d
((c-a)/d)-b
((d-a)/b)-c
((d-a)/c)-b
((c-b)/a)-d
((c-b)/d)-a
((d-b)/a)-c
((d-b)/c)-a
((d-c)/a)-b
((d-c)/b)-a
(a/b)-(c*d)
(a/c)-(b*d)
(a/d)-(b*c)
(b/c)-(a*d)
(b/d)-(a*c)
(c/d)-(a*b)
(a/b)-(c/d)
((a/b)/c)-d
((a/b)/d)-c
(a/c)-(b/d)
((a/c)/d)-b
(a/d)-(b/c)
(b/c)-(a/d)
((b/c)/a)-d
((b/c)/d)-a
(b/d)-(a/c)
((b/d)/a)-c
(c/d)-(a/b)
((c/d)/a)-b
((c/d)/b)-a
(a/b)-(d/c)
(a/c)-(d/b)
((c/a)/b)-d
(a/d)-(c/b)
((d/a)/b)-c
((d/a)/c)-b
(b/c)-(d/a)
(b/d)-(c/a)
((d/b)/c)-a
(c/d)-(b/a)
(c/(a+b))-d
(d/(a+b))-c
(b/(a+c))-d
(d/(a+c))-b
(b/(a+d))-c
(c/(a+d))-b
(a/(b+c))-d
(d/(b+c))-a
(a/(b+d))-c
(c/(b+d))-a
(a/(c+d))-b
(b/(c+d))-a
(c/(a-b))-d
(d/(a-b))-c
(b/(a-c))-d
(d/(a-c))-b
(b/(a-d))-c
(c/(a-d))-b
(a/(b-c))-d
(d/(b-c))-a
(a/(b-d))-c
(c/(b-d))-a
(a/(c-d))-b
(b/(c-d))-a
(c/(b-a))-d
(d/(b-a))-c
(b/(c-a))-d
(d/(c-a))-b
(b/(d-a))-c
(c/(d-a))-b
(a/(c-b))-d
(d/(c-b))-a
(a/(d-b))-c
(c/(d-b))-a
(a/(d-c))-b
(b/(d-c))-a
(b/a)-(c*d)
(c/a)-(b*d)
(d/a)-(b*c)
(c/b)-(a*d)
(d/b)-(a*c)
(d/c)-(a*b)
(b/a)-(c/d)
(c/a)-(b/d)
(d/a)-(b/c)
(c/b)-(a/d)
(d/b)-(a/c)
(d/c)-(a/b)
(b/a)-(d/c)
(c/a)-(d/b)
(d/a)-(c/b)
(c/b)-(d/a)
(d/b)-(c/a)
(d/c)-(b/a)
d-((a+b)*c)
c-((a+b)*d)
d-((a+c)*b)
b-((a+c)*d)
c-((a+d)*b)
b-((a+d)*c)
d-((b+c)*a)
a-((b+c)*d)
c-((b+d)*a)
a-((b+d)*c)
b-((c+d)*a)
a-((c+d)*b)
d-((a*b)*c)
c-((a*b)*d)
b-((a*c)*d)
a-((b*c)*d)
d-((a/b)*c)
c-((a/b)*d)
d-((a/c)*b)
b-((a/c)*d)
c-((a/d)*b)
b-((a/d)*c)
a-((b/c)*d)
a-((b/d)*c)
d-((b/a)*c)
c-((b/a)*d)
b-((c/a)*d)
a-((c/b)*d)
d-((a+b)/c)
c-((a+b)/d)
d-((a+c)/b)
b-((a+c)/d)
c-((a+d)/b)
b-((a+d)/c)
d-((b+c)/a)
a-((b+c)/d)
c-((b+d)/a)
a-((b+d)/c)
b-((c+d)/a)
a-((c+d)/b)
d-((a/b)/c)
c-((a/b)/d)
b-((a/c)/d)
d-((b/c)/a)
a-((b/c)/d)
c-((b/d)/a)
b-((c/d)/a)
a-((c/d)/b)
d-((c/a)/b)
c-((d/a)/b)
b-((d/a)/c)
a-((d/b)/c)
d-(c/(a+b))
c-(d/(a+b))
d-(b/(a+c))
b-(d/(a+c))
c-(b/(a+d))
b-(c/(a+d))
d-(a/(b+c))
a-(d/(b+c))
c-(a/(b+d))
a-(c/(b+d))
b-(a/(c+d))
a-(b/(c+d))
(a+b)*(c+d)
((a+b)+c)*d
((a+b)+d)*c
(a+c)*(b+d)
((a+c)+d)*b
(a+d)*(b+c)
((b+c)+d)*a
(a+b)*(c-d)
((a-b)+c)*d
((a-b)+d)*c
(a+c)*(b-d)
((a-c)+b)*d
((a-c)+d)*b
(a+d)*(b-c)
((a-d)+b)*c
((a-d)+c)*b
(b+c)*(a-d)
((b-c)+d)*a
(b+d)*(a-c)
((b-d)+c)*a
(c+d)*(a-b)
(a+b)*(d-c)
((b-a)+c)*d
((b-a)+d)*c
(a+c)*(d-b)
((c-a)+d)*b
(a+d)*(c-b)
(b+c)*(d-a)
((c-b)+d)*a
(b+d)*(c-a)
(c+d)*(b-a)
(a+b)*(c*d)
((a*b)+c)*d
((a*b)+d)*c
(a+c)*(b*d)
((a*c)+b)*d
((a*c)+d)*b
(a+d)*(b*c)
((a*d)+b)*c
((a*d)+c)*b
(b+c)*(a*d)
((b*c)+a)*d
((b*c)+d)*a
(b+d)*(a*c)
((b*d)+a)*c
((b*d)+c)*a
(c+d)*(a*b)
((c*d)+a)*b
((c*d)+b)*a
(a+b)*(c/d)
((a/b)+c)*d
((a/b)+d)*c
(a+c)*(b/d)
((a/c)+b)*d
((a/c)+d)*b
(a+d)*(b/c)
((a/d)+b)*c
((a/d)+c)*b
(b+c)*(a/d)
((b/c)+a)*d
((b/c)+d)*a
(b+d)*(a/c)
((b/d)+a)*c
((b/d)+c)*a
(c+d)*(a/b)
((c/d)+a)*b
((c/d)+b)*a
(a+b)*(d/c)
((b/a)+c)*d
((b/a)+d)*c
(a+c)*(d/b)
((c/a)+b)*d
((c/a)+d)*b
(a+d)*(c/b)
((d/a)+b)*c
((d/a)+c)*b
(b+c)*(d/a)
((c/b)+a)*d
((c/b)+d)*a
(b+d)*(c/a)
((d/b)+a)*c
((d/b)+c)*a
(c+d)*(b/a)
((d/c)+a)*b
((d/c)+b)*a
(a-b)*(c-d)
((a-b)-c)*d
((a-b)-d)*c
(a-c)*(b-d)
((a-c)-d)*b
(a-d)*(b-c)
((b-c)-a)*d
((b-c)-d)*a
((b-d)-a)*c
((c-d)-a)*b
((c-d)-b)*a
(a-b)*(d-c)
(a-c)*(d-b)
((c-a)-b)*d
(a-d)*(c-b)
((d-a)-b)*c
((d-a)-c)*b
((d-b)-c)*a
(a-b)*(c*d)
((a*b)-c)*d
((a*b)-d)*c
(a-c)*(b*d)
((a*c)-b)*d
((a*c)-d)*b
(a-d)*(b*c)
((a*d)-b)*c
((a*d)-c)*b
(b-c)*(a*d)
((b*c)-a)*d
((b*c)-d)*a
(b-d)*(a*c)
((b*d)-a)*c
((b*d)-c)*a
(c-d)*(a*b)
((c*d)-a)*b
((c*d)-b)*a
(a-b)*(c/d)
((a/b)-c)*d
((a/b)-d)*c
(a-c)*(b/d)
((a/c)-b)*d
((a/c)-d)*b
(a-d)*(b/c)
((a/d)-b)*c
((a/d)-c)*b
(b-c)*(a/d)
((b/c)-a)*d
((b/c)-d)*a
(b-d)*(a/c)
((b/d)-a)*c
((b/d)-c)*a
(c-d)*(a/b)
((c/d)-a)*b
((c/d)-b)*a
(a-b)*(d/c)
((b/a)-c)*d
((b/a)-d)*c
(a-c)*(d/b)
((c/a)-b)*d
((c/a)-d)*b
(a-d)*(c/b)
((d/a)-b)*c
((d/a)-c)*b
(b-c)*(d/a)
((c/b)-a)*d
((c/b)-d)*a
(b-d)*(c/a)
((d/b)-a)*c
((d/b)-c)*a
(c-d)*(b/a)
((d/c)-a)*b
((d/c)-b)*a
(b-a)*(c*d)
(c-(a*b))*d
(d-(a*b))*c
(c-a)*(b*d)
(b-(a*c))*d
(d-(a*c))*b
(d-a)*(b*c)
(b-(a*d))*c
(c-(a*d))*b
(c-b)*(a*d)
(a-(b*c))*d
(d-(b*c))*a
(d-b)*(a*c)
(a-(b*d))*c
(c-(b*d))*a
(d-c)*(a*b)
(a-(c*d))*b
(b-(c*d))*a
(b-a)*(c/d)
(c-(a/b))*d
(d-(a/b))*c
(c-a)*(b/d)
(b-(a/c))*d
(d-(a/c))*b
(d-a)*(b/c)
(b-(a/d))*c
(c-(a/d))*b
(c-b)*(a/d)
(a-(b/c))*d
(d-(b/c))*a
(d-b)*(a/c)
(a-(b/d))*c
(c-(b/d))*a
(d-c)*(a/b)
(a-(c/d))*b
(b-(c/d))*a
(b-a)*(d/c)
(c-(b/a))*d
(d-(b/a))*c
(c-a)*(d/b)
(b-(c/a))*d
(d-(c/a))*b
(d-a)*(c/b)
(b-(d/a))*c
(c-(d/a))*b
(c-b)*(d/a)
(a-(c/b))*d
(d-(c/b))*a
(d-b)*(c/a)
(a-(d/b))*c
(c-(d/b))*a
(d-c)*(b/a)
(a-(d/c))*b
(b-(d/c))*a
(a*b)*(c*d)
(a*b)*(c/d)
((a/b)*c)*d
((a/c)*b)*d
((b/a)*c)*d
(a/b)*(c/d)
((a/b)/c)*d
(a/c)*(b/d)
((b/c)/a)*d
((b/d)/a)*c
((c/a)/b)*d
(c/(a+b))*d
(b/(a+c))*d
(b/(a+d))*c
(a/(b+c))*d
(a/(b+d))*c
(a/(c+d))*b
(c/(a-b))*d
(b/(a-c))*d
(b/(a-d))*c
(a/(b-c))*d
(a/(b-d))*c
(a/(c-d))*b
(c/(b-a))*d
(b/(c-a))*d
(b/(d-a))*c
(a/(c-b))*d
(a/(d-b))*c
(a/(d-c))*b
(a+b)/(c+d)
((a+b)+c)/d
((a+b)+d)/c
(a+c)/(b+d)
((a+c)+d)/b
(a+d)/(b+c)
(b+c)/(a+d)
((b+c)+d)/a
(b+d)/(a+c)
(c+d)/(a+b)
(a+b)/(c-d)
((a-b)+c)/d
((a-b)+d)/c
(a+c)/(b-d)
((a-c)+b)/d
((a-c)+d)/b
(a+d)/(b-c)
((a-d)+b)/c
((a-d)+c)/b
(b+c)/(a-d)
((b-c)+d)/a
(b+d)/(a-c)
((b-d)+c)/a
(c+d)/(a-b)
(a+b)/(d-c)
((b-a)+c)/d
((b-a)+d)/c
(a+c)/(d-b)
((c-a)+d)/b
(a+d)/(c-b)
(b+c)/(d-a)
((c-b)+d)/a
(b+d)/(c-a)
(c+d)/(b-a)
(a+b)/(c*d)
((a*b)+c)/d
((a*b)+d)/c
(a+c)/(b*d)
((a*c)+b)/d
((a*c)+d)/b
(a+d)/(b*c)
((a*d)+b)/c
((a*d)+c)/b
(b+c)/(a*d)
((b*c)+a)/d
((b*c)+d)/a
(b+d)/(a*c)
((b*d)+a)/c
((b*d)+c)/a
(c+d)/(a*b)
((c*d)+a)/b
((c*d)+b)/a
((a/b)+c)/d
((a/b)+d)/c
((a/c)+b)/d
((a/c)+d)/b
((a/d)+b)/c
((a/d)+c)/b
((b/c)+a)/d
((b/c)+d)/a
((b/d)+a)/c
((b/d)+c)/a
((c/d)+a)/b
((c/d)+b)/a
((b/a)+c)/d
((b/a)+d)/c
((c/a)+b)/d
((c/a)+d)/b
((d/a)+b)/c
((d/a)+c)/b
((c/b)+a)/d
((c/b)+d)/a
((d/b)+a)/c
((d/b)+c)/a
((d/c)+a)/b
((d/c)+b)/a
(a-b)/(c+d)
(a-c)/(b+d)
(a-d)/(b+c)
(b-c)/(a+d)
(b-d)/(a+c)
(c-d)/(a+b)
(a-b)/(c-d)
((a-b)-c)/d
((a-b)-d)/c
(a-c)/(b-d)
((a-c)-d)/b
(a-d)/(b-c)
(b-c)/(a-d)
((b-c)-a)/d
((b-c)-d)/a
(b-d)/(a-c)
((b-d)-a)/c
(c-d)/(a-b)
((c-d)-a)/b
((c-d)-b)/a
(a-b)/(d-c)
(a-c)/(d-b)
((c-a)-b)/d
(a-d)/(c-b)
((d-a)-b)/c
((d-a)-c)/b
(b-c)/(d-a)
(b-d)/(c-a)
((d-b)-c)/a
(c-d)/(b-a)
(a-b)/(c*d)
((a*b)-c)/d
((a*b)-d)/c
(a-c)/(b*d)
((a*c)-b)/d
((a*c)-d)/b
(a-d)/(b*c)
((a*d)-b)/c
((a*d)-c)/b
(b-c)/(a*d)
((b*c)-a)/d
((b*c)-d)/a
(b-d)/(a*c)
((b*d)-a)/c
((b*d)-c)/a
(c-d)/(a*b)
((c*d)-a)/b
((c*d)-b)/a
((a/b)-c)/d
((a/b)-d)/c
((a/c)-b)/d
((a/c)-d)/b
((a/d)-b)/c
((a/d)-c)/b
((b/c)-a)/d
((b/c)-d)/a
((b/d)-a)/c
((b/d)-c)/a
((c/d)-a)/b
((c/d)-b)/a
((b/a)-c)/d
((b/a)-d)/c
((c/a)-b)/d
((c/a)-d)/b
((d/a)-b)/c
((d/a)-c)/b
((c/b)-a)/d
((c/b)-d)/a
((d/b)-a)/c
((d/b)-c)/a
((d/c)-a)/b
((d/c)-b)/a
(b-a)/(c+d)
(c-a)/(b+d)
(d-a)/(b+c)
(c-b)/(a+d)
(d-b)/(a+c)
(d-c)/(a+b)
(b-a)/(c*d)
(c-(a*b))/d
(d-(a*b))/c
(c-a)/(b*d)
(b-(a*c))/d
(d-(a*c))/b
(d-a)/(b*c)
(b-(a*d))/c
(c-(a*d))/b
(c-b)/(a*d)
(a-(b*c))/d
(d-(b*c))/a
(d-b)/(a*c)
(a-(b*d))/c
(c-(b*d))/a
(d-c)/(a*b)
(a-(c*d))/b
(b-(c*d))/a
(c-(a/b))/d
(d-(a/b))/c
(b-(a/c))/d
(d-(a/c))/b
(b-(a/d))/c
(c-(a/d))/b
(a-(b/c))/d
(d-(b/c))/a
(a-(b/d))/c
(c-(b/d))/a
(a-(c/d))/b
(b-(c/d))/a
(c-(b/a))/d
(d-(b/a))/c
(b-(c/a))/d
(d-(c/a))/b
(b-(d/a))/c
(c-(d/a))/b
(a-(c/b))/d
(d-(c/b))/a
(a-(d/b))/c
(c-(d/b))/a
(a-(d/c))/b
(b-(d/c))/a
(a/b)/(c+d)
(a/c)/(b+d)
(a/d)/(b+c)
(b/c)/(a+d)
(b/d)/(a+c)
(c/d)/(a+b)
(a/b)/(c-d)
(a/c)/(b-d)
(a/d)/(b-c)
(b/c)/(a-d)
(b/d)/(a-c)
(c/d)/(a-b)
(a/b)/(d-c)
(a/c)/(d-b)
(a/d)/(c-b)
(b/c)/(d-a)
(b/d)/(c-a)
(c/d)/(b-a)
(a/b)/(c*d)
(b/c)/(a*d)
(c/d)/(a*b)
((d/a)/b)/c
(b/a)/(c+d)
(d/(a+b))/c
(c/a)/(b+d)
(d/(a+c))/b
(d/a)/(b+c)
(c/(a+d))/b
(b/a)/(c-d)
(d/(a-b))/c
(c/a)/(b-d)
(d/(a-c))/b
(d/a)/(b-c)
(c/(a-d))/b
(b/a)/(d-c)
(d/(b-a))/c
(c/a)/(d-b)
(d/(c-a))/b
(d/a)/(c-b)
(c/(d-a))/b
d/((a+b)+c)
c/((a+b)+d)
b/((a+c)+d)
a/((b+c)+d)
d/((a-b)+c)
c/((a-b)+d)
d/((a-c)+b)
b/((a-c)+d)
c/((a-d)+b)
b/((a-d)+c)
a/((b-c)+d)
a/((b-d)+c)
d/((b-a)+c)
c/((b-a)+d)
b/((c-a)+d)
a/((c-b)+d)
d/((a*b)+c)
c/((a*b)+d)
d/((a*c)+b)
b/((a*c)+d)
c/((a*d)+b)
b/((a*d)+c)
d/((b*c)+a)
a/((b*c)+d)
c/((b*d)+a)
a/((b*d)+c)
b/((c*d)+a)
a/((c*d)+b)
d/((a/b)+c)
c/((a/b)+d)
d/((a/c)+b)
b/((a/c)+d)
c/((a/d)+b)
b/((a/d)+c)
d/((b/c)+a)
a/((b/c)+d)
c/((b/d)+a)
a/((b/d)+c)
b/((c/d)+a)
a/((c/d)+b)
d/((b/a)+c)
c/((b/a)+d)
d/((c/a)+b)
b/((c/a)+d)
c/((d/a)+b)
b/((d/a)+c)
d/((c/b)+a)
a/((c/b)+d)
c/((d/b)+a)
a/((d/b)+c)
b/((d/c)+a)
a/((d/c)+b)
d/((a-b)-c)
c/((a-b)-d)
b/((a-c)-d)
d/((b-c)-a)
a/((b-c)-d)
c/((b-d)-a)
b/((c-d)-a)
a/((c-d)-b)
d/((c-a)-b)
c/((d-a)-b)
b/((d-a)-c)
a/((d-b)-c)
d/((a*b)-c)
c/((a*b)-d)
d/((a*c)-b)
b/((a*c)-d)
c/((a*d)-b)
b/((a*d)-c)
d/((b*c)-a)
a/((b*c)-d)
c/((b*d)-a)
a/((b*d)-c)
b/((c*d)-a)
a/((c*d)-b)
d/((a/b)-c)
c/((a/b)-d)
d/((a/c)-b)
b/((a/c)-d)
c/((a/d)-b)
b/((a/d)-c)
d/((b/c)-a)
a/((b/c)-d)
c/((b/d)-a)
a/((b/d)-c)
b/((c/d)-a)
a/((c/d)-b)
d/((b/a)-c)
c/((b/a)-d)
d/((c/a)-b)
b/((c/a)-d)
c/((d/a)-b)
b/((d/a)-c)
d/((c/b)-a)
a/((c/b)-d)
c/((d/b)-a)
a/((d/b)-c)
b/((d/c)-a)
a/((d/c)-b)
d/(c-(a*b))
c/(d-(a*b))
d/(b-(a*c))
b/(d-(a*c))
c/(b-(a*d))
b/(c-(a*d))
d/(a-(b*c))
a/(d-(b*c))
c/(a-(b*d))
a/(c-(b*d))
b/(a-(c*d))
a/(b-(c*d))
d/(c-(a/b))
c/(d-(a/b))
d/(b-(a/c))
b/(d-(a/c))
c/(b-(a/d))
b/(c-(a/d))
d/(a-(b/c))
a/(d-(b/c))
c/(a-(b/d))
a/(c-(b/d))
b/(a-(c/d))
a/(b-(c/d))
d/(c-(b/a))
c/(d-(b/a))
d/(b-(c/a))
b/(d-(c/a))
c/(b-(d/a))
b/(c-(d/a))
d/(a-(c/b))
a/(d-(c/b))
c/(a-(d/b))
a/(c-(d/b))
b/(a-(d/c))
a/(b-(d/c))
共400多组呢!
我写了一个C语言的穷举算法:执行一遍就都出来了。
#include<stdio.h>
#include<conio.h>
#define N13
main(){
int i,a[4],ALL=0;
int YES=0,NO=0,flag=0;
for(a[0]=1;a[0]<=N;a[0]++)
for(a[1]=a[0];a[1]<=N;a[1]++)
for(a[2]=a[1];a[2]<=N;a[2]++)
for(a[3]=a[2];a[3]<=N;a[3]++)
{ ALL++;
flag=fun(a[0],a[1],a[2],a[3]);
if(flag!=0)YES++;
else {printf("\n");
for(i=0;i<4;i++)
printf("%d,",a[i]);
NO++;}
}
printf("\n\tYES:%d\n\n\tNO:%d\n\n\tALL:%d",YES,NO,ALL);
getch();
}
int fun(int a,int b,int c,int d){
int flag=0,time=0;
int i=0,j=0,k=0,a_b,temp;
char ch[4];
while(time<6){
for(i=0;i<4;i++){
if(i<3){
if(i==0)
if(i==1)
if(i==2)
{
if(a_b+c+d==24)flag++;
if(a_b+c-d==24)flag++;
if(a_b-c+d==24)flag++;
if(a_b-c+d==-24)flag++;
if(a_b-c-d==24)flag++;
if(a_b-c-d==-24)flag++;
if((a_b)+c*d==24)flag++;
if((a_b)-c*d==24)flag++;
for(j=0;j<2;j++){
if((a_b)*c+d==24)flag++;
if((a_b)*c+d==-24)flag++;
if((a_b)*c-d==24)flag++;
if((a_b)*c-d==-24)flag++;
if((a_b)*(c+d)==24)flag++;
if((a_b)*(c+d)==-24)flag++;
if((a_b)*(c-d)==24)flag++;
if((a_b)==24*(c+d))flag++;
if(a_b&&(a_b)==24*(c-d))flag++;
if((a_b)*c*d==24)flag++;
if((a_b)*c*d==-24)flag++;
if((a_b)==24*c*d)flag++;
if((a_b)*c==24*d)flag++;
if((a_b)==-24*c*d)flag++;
if((a_b)*c==-24*d)flag++;
if((a_b)+d*c==24*c)flag++;
if((a_b)-d*c==24*c)flag++;
if((a_b-c)*d==24)flag++;
if((a_b+c)*d==24)flag++;
if((a_b-c)*d==-24)flag++;
if((a_b+c)*d==-24)flag++;
if((a_b+c)==24*d)flag++;
if((a_b-c)==24*d)flag++;
if(c!=d)
else break;
}
}
}
if(i==3)for(k=0;k<2;k++){a_b=a;ch[i]='/';
if(a_b+(c+d)*b==24*b)flag++;
if(a_b-(c+d)*b==-24*b)flag++;
if(a_b+(c-d)*b==24*b)flag++;
if(a_b+(c-d)*b==-24*b)flag++;
if(a_b-(c-d)*b==24*b)flag++;
if(a_b-(c-d)*b==-24*b)flag++;
for(j=0;j<2;j++){
if((a_b)*c+d*b==24*b)flag++;
if((a_b)*c-d*b==24*b)flag++;
if((a_b)*(c+d)==24*b)flag++;
if((a_b)*(c-d)==24*b)flag++;
if((a_b)+d*c*b==24*c*b)flag++;
if((a_b)+d*c*b==24*b)flag++;
if((a_b)-d*c*b==-24*b)flag++;
if((a_b-c*b)*d==24*b)flag++;
if((a_b-c*b)*d==-24*b)flag++;
if((a_b+c*b)*d==24*b)flag++;
if((a_b+c*b)==24*d*b)flag++;
if((a_b-c*b)==24*d*b)flag++;
if(a_b*c*b==24*b)flag++;
if(a_b*c==24*b*d)flag++;
if(c!=d)
else break;
}temp=a;a=b;b=temp;
}
}
if(time==0)
if(time==1)
if(time==2)
if(time==3)
if(time==4)
if(time==5)
time++;
}
return flag;
}
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