#include <iostream> #include <cstring> #include <algorithm> using namespace std; const int maxn = 1000000 + 5; const int P1 = 998244353, P2 = 1000000007; const int B1 = 2, B2 = 31; const int K1 = 0, K2 = 13; typedef long long ll; int n; bool p[maxn]; int p1[maxn], p2[maxn]; struct H { int h1, h2, l; H(bool b = false) { h1 = b + K1; h2 = b + K2; l = 1; } H operator + (const H &h)const { H hh; hh.l = l + h.l; hh.h1 = (1ll * h1 * p1[h.l] + h.h1) % P1; hh.h2 = (1ll * h2 * p2[h.l] + h.h2) % P2; return hh; } bool operator == (const H &h)const { return l == h.l && h1 == h.h1 && h2 == h.h2; } bool operator < (const H &h)const { if (l != h.l)return l < h.l; else if (h1 != h.h1)return h1 < h.h1; elsereturn h2 < h.h2; } } h[maxn]; void init() { memset(p, 1, sizeof(p)); p[0] = p[1] = false; p1[0] = p2[0] = 1; for (int i = 1; i <= n; i++) { p1[i] = (1ll * B1 * p1[i - 1]) % P1; p2[i] = (1ll * B2 * p2[i - 1]) % P2; if (!p[i])continue; for (int j = 2 * i; j <= n; j += i) { p[j] = false; } } } int solve() { for (int i = n; i; i--) { h[i] = H(p[i]); if (2 * i + 1 <= n) { h[i] = h[2 * i] + h[i] + h[2 * i + 1]; } else if (2 * i <= n) { h[i] = h[2 * i] + h[i]; } } cout << h[1].h1 << endl; sort(h + 1, h + n + 1); int m = unique(h + 1, h + n + 1) - (h + 1); return m; } int main() { cin >> n; init(); cout << solve() << endl; }