#include using namespace std; vector phi; void genPhi(int max) { int minDiv[max]; for (int i = 1; i < max; i++) { minDiv[i] = i; } for (int i = 2; i * i < max; i++) { if (minDiv[i] == i) { for (int j = i * i; j < max; j += i) { minDiv[j] = i; } } } phi[1] = 1; for (int i = 2; i < max; i++) { phi[i] = phi[i / minDiv[i]]; if ((i / minDiv[i]) % minDiv[i] == 0) { phi[i] *= minDiv[i]; } else { phi[i] *= minDiv[i] - 1; } } } const int MAXN = 1000001; long long g[MAXN]; int f[MAXN]; int main() { // ofstream cout("output.txt"); phi.resize(MAXN); genPhi(MAXN); for (int i = 1; i <= MAXN; i += 2) { f[i] = phi[i] % (i + 1); } g[0] = 0; for (int i = 1; i <= MAXN; i++) { g[i] = g[i - 1] + f[i]; } int T; cin >> T; for (int t = 1; t <= T; t++) { int n; cin >> n; cout << "Case " << t << ": " << g[n] << endl; } }