#include #include using namespace std; using namespace atcoder; typedef modint1000000007 mint; typedef long long ll; ll mod_pow(ll x, ll m, int P){ ll ret = 1; ll tmp = x; while (m > 0){ if (m&1){ ret = ret * tmp % P; } m >>= 1; tmp = tmp * tmp % P; } return ret; } int main(){ int n, p; cin >> n >> p; int x = n; mint tmp = 0; while (x > 0){ x = x / p; tmp += x; } ll kr = 1; ll ks = 1; int mod = 1'000'000'007; for (int i=1; i<=n; i++){ kr *= i; ks *= i; kr %= mod - 1; ks %= mod; } mint ar = mod_pow(ks, kr, mod); tmp *= ar; cout << tmp.val() << endl; }