#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; using namespace atcoder; vector< int > euler_phi_table(int n) { vector< int > euler(n + 1); for(int i = 0; i <= n; i++) { euler[i] = i; } for(int i = 2; i <= n; i++) { if(euler[i] == i) { for(int j = i; j <= n; j += i) { euler[j] = euler[j] / i * (i - 1); } } } return euler; } int solve() { ll N; cin >> N; vector A(N); vector B(N); set>> data; for(int i = 0;i < N;i++){ cin >> A[i]; } for(int i = 0;i < N;i++){ cin >> B[i]; if (A[i] > B[i]){ swap(A[i],B[i]); } data.insert({B[i],{A[i],B[i]}}); } ll ans = numeric_limits::max(); while(true){ ans = min(ans,data.rbegin()->first - data.begin()->first); auto p = *data.rbegin(); if (p.first == p.second.first){ break; }else if (p.first == (p.second.first + p.second.second)/2){ data.insert({p.second.first,p.second}); }else{ data.insert({(p.second.first + p.second.second)/2,p.second}); } data.erase(p); } cout << ans << endl; return 0; } int main() { vector phi_table = euler_phi_table(10000000); vector cumSum(10000001); for(int i = 1;i <= 10000000;i++){ if (i == 1){ cumSum[i] = cumSum[i-1] + phi_table[i]-1 + (i-phi_table[i])*2; }else{ cumSum[i] = cumSum[i-1] + phi_table[i] + (i-1-phi_table[i])*2; } } ll T; cin >> T; while (T--) { ll N; cin >> N; cout << cumSum[N] << endl; } cout << flush; return 0; }