1185 - Big Number1

#include <cstdio>
#include <iostream>
#include <cmath>
#define pi acos(-1)
#define e 2.7182818284590452353602874713527
using namespace std;
int main()
{
    long long int test,n,result;
    scanf("%lld",&test);
    while(test--)
    {
        scanf("%lld",&n);
        result=floor(.5*log10(2*pi)+(n+0.5)*log10(n)-(n*log10(e))+log10(e)/(12*n))+1;
        printf("%lld\n",result);
    }
    return 0;
}