33 lines
826 B
C++
33 lines
826 B
C++
#include<iostream>
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#include<cstdio>
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#include<cmath>
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using namespace std;
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int main()
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{
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int t,tm,k;
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double n,m;
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scanf("%d",&t);tm=t;
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while(t--)
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{
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scanf("%lf%lf%d",&n,&m,&k);
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double ans=0;
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for(double i=1;i<=n;i++)
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for(double j=1;j<=m;j++)
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{
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double p=m*n;
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p+=(i-1)*(j-1)*(n-i+1)*(m-j+1);
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p+=(i-1)*(m-j)*(n-i+1)*j;
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p+=(j-1)*(n-i)*(m-j+1)*i;
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p+=(n-i)*(m-j)*i*j;
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p+=(i-1)*m*(n-i+1);
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p+=(m-j)*n*j;
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p+=(n-i)*m*i;
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p+=(j-1)*n*(m-j+1);
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p=p/n/n/m/m;
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ans+=1-(pow(1-p,k));
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}
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printf("Case #%d: %d\n",tm-t,int(ans+0.5));
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}
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return 0;
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}
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