#include #include using namespace std; using namespace atcoder; istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); } istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); } istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; } ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); } typedef long long ll; typedef vector> Graph; typedef pair pii; typedef pair pll; #define rep(i,n) for (int i = 0;i < (int)(n); i++) #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define my_sort(x) sort(x.begin(), x.end()) #define my_max(x) *max_element(all(x)) #define my_min(x) *min_element(all(x)) #define cout_vector(x) rep(i,x.size()) cout << x[i] << ' '; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int INF = (1<<30) - 1; const ll LINF = (1LL<<62) - 1; const int MOD2 = 1e9+7; const double PI = acos(-1); vector di = {1,0,-1,0}; vector dj = {0,1,0,-1}; //https://drken1215.hatenablog.com/entry/2018/06/08/210000 //COMinit()を忘れない!!! const ll NMAX = 202020; const int MOD = 1e9+7; ll fac[NMAX],finv[NMAX],inv[NMAX]; void COMinit(){ fac[0] = fac[1] = 1LL; finv[0] = finv[1] = 1LL; inv[1] = 1LL; for (int i=2;i> N; int M; cin >> M; mint ans = 0; for(int k=0;k<=M;k++){ mint res = 1; mint a = M - k; res *= a.pow(N); res *= cmb(M,k); if (k % 2 == 0)ans += res; else ans -= res; } cout << ans << endl; }