HDU 1018 Big Number

#include<iostream>
#include<cstdio>
#include<cmath>
using namespace std;
int main() {
int n,t;
cin>>t;
while(t--) {
cin>>n;
double cou=0;
for(int i=1; i<=n; i++) {
//cout<<log10(i)<<endl;
cou+=log10(i);
}
cout<<(int)cou+1<<endl;
}
return 0;
}