This documentation is automatically generated by online-judge-tools/verification-helper
// verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2286
#include <bits/stdc++.h>
using namespace std;
#define call_from_test
#include "../../math/totient_table.cpp"
#undef call_from_test
signed main(){
cin.tie(0);
ios::sync_with_stdio(0);
const int MAX = 1e6;
auto ts=totient_table(MAX);
vector<long long> sm(ts.begin(),ts.end());
for(int i=0;i<MAX;i++) sm[i+1]+=sm[i];
int t;
cin>>t;
for(int i=0;i<t;i++){
int n;
cin>>n;
cout<<sm[n]+1<<"\n";
}
cout<<flush;
return 0;
}
#line 1 "test/aoj/2286.test.cpp"
// verification-helper: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2286
#include <bits/stdc++.h>
using namespace std;
#define call_from_test
#line 1 "math/totient_table.cpp"
#line 3 "math/totient_table.cpp"
using namespace std;
#endif
//BEGIN CUT HERE
vector<int> totient_table(int n){
vector<int> ts(n+1);
iota(ts.begin(),ts.end(),0);
for(int i=2;i<=n;i++){
if(ts[i]!=i) continue;
for(int j=i;j<=n;j+=i) ts[j]=ts[j]/i*(i-1);
}
return ts;
}
//END CUT HERE
#ifndef call_from_test
//INSERT ABOVE HERE
signed main(){
return 0;
}
#endif
#line 8 "test/aoj/2286.test.cpp"
#undef call_from_test
signed main(){
cin.tie(0);
ios::sync_with_stdio(0);
const int MAX = 1e6;
auto ts=totient_table(MAX);
vector<long long> sm(ts.begin(),ts.end());
for(int i=0;i<MAX;i++) sm[i+1]+=sm[i];
int t;
cin>>t;
for(int i=0;i<t;i++){
int n;
cin>>n;
cout<<sm[n]+1<<"\n";
}
cout<<flush;
return 0;
}