#include using namespace std; using int64 = long long; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int N, P; cin >> N >> P; vector d(N + 1, 0); vector> divs(N + 1); for (int b = 1; b <= N; ++b) { for (int m = b; m <= N; m += b) { d[m]++; divs[m].push_back(b); } } vector inv(N + 2, 0); inv[1] = 1; for (int i = 2; i <= N + 1; ++i) { inv[i] = int64(P - P / i) * inv[P % i] % P; } vector diff(N + 2, 0); int64 curF = 0; vector E(N + 1, 0); for (int m = 1; m <= N; ++m) { curF = (curF + diff[m]) % P; if (m >= 3) { int64 numer = (m + curF) % P; int denom = m - d[m]; E[m] = numer * inv[denom] % P; } int em = E[m]; if (em) { for (int b : divs[m]) { int L = m + 1; int R = min(N, m + b - 1); if (L > R) continue; diff[L] = (diff[L] + em) % P; diff[R + 1] = (diff[R + 1] - em + P) % P; } } } cout << E[N] << "\n"; return 0; }