This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<cstdio>
#include<cmath>
long long comb[41][41];
int main()
{
int a,b,N;
long long K;
scanf("%d%d%d%lld",&a,&b,&N,&K);
if(a>b) a^=b^=a^=b;
comb[0][0]=1;
for(int i=1;i<=N;i++)
{
comb[i][0]=comb[i][i]=1;
for(int j=1;j<i;j++)
comb[i][j]=comb[i-1][j-1]+comb[i-1][j];
}
for(int i=0;i<=N;i++)
{
K-=comb[N][i];
if(K<=0)
{
printf("%.12lf",log(a*b/2.)+(N-i)*log(b*b)+i*log(a*a)-N*log(a*a+b*b));
return 0;
}
}
return 0;
}
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