#include using namespace std; using ll = long long; using P = pair; #define fix(x) fixed << setprecision(x) #define asc(x) x, vector, greater #define rep(i, n) for(ll i = 0; i < n; i++) #define all(x) (x).begin(),(x).end() templatebool chmin(T&a, const T&b){if(a>b){a=b;return 1;}return 0;} templatebool chmax(T&a, const T&b){if(a> n >> p; ll m = n, c = 0; while(m){ m /= p; c += m; } ll k = 1; rep(i,n) k = k * (i+1) % MOD; cout << c*mpow(k,k)%MOD << '\n'; return 0; }