//include //------------------------------------------ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //conversion //------------------------------------------ inline int toInt(string s) { int v; istringstream sin(s); sin >> v; return v; } template inline string toString(T x) { ostringstream sout; sout << x; return sout.str(); } //math //------------------------------------------- template inline T sqr(T x) { return x * x; } //typedef //------------------------------------------ typedef vector VI; typedef vector VVI; typedef vector VS; typedef pair PII; typedef long long LL; //container util //------------------------------------------ #define ALL(a) (a).begin(),(a).end() #define RALL(a) (a).rbegin(), (a).rend() #define PB push_back #define MP make_pair #define SZ(a) int((a).size()) #define EACH(i,c) for(typeof((c).begin()) i=(c).begin(); i!=(c).end(); ++i) #define EXIST(s,e) ((s).find(e)!=(s).end()) #define EXISTch(s,c) ((((s).find_first_of(c)) != std::string::npos)? 1 : 0)//cがあれば1 if(1) #define SORT(c) sort((c).begin(),(c).end()) #define REP(i,n) for(int i=0;i<(int)n;++i) #define FOR(i,c) for(__typeof((c).begin())i=(c).begin();i!=(c).end();++i) //constant //-------------------------------------------- const double EPS = 1e-10; const double PI = acos(-1.0); const int INF = (int)1000000007; const LL MOD = (LL)1000000007;//10^9+7 const LL INF2 = (LL)100000000000000000;//10^18 template< int mod > struct Combination { vector< int64_t > mfact, rfact; Combination(int sz) : mfact(sz + 1), rfact(sz + 1) { mfact[0] = 1; for (int i = 1; i < mfact.size(); i++) { mfact[i] = mfact[i - 1] * i % mod; } rfact[sz] = inv(mfact[sz]); for (int i = sz - 1; i >= 0; i--) { rfact[i] = rfact[i + 1] * (i + 1) % mod; } } int64_t fact(int k) const { return (mfact[k]); } int64_t pow(int64_t x, int64_t n) const { int64_t ret = 1; while (n > 0) { if (n & 1) (ret *= x) %= mod; (x *= x) %= mod; n >>= 1; } return (ret); } int64_t inv(int64_t x) const { return (pow(x, mod - 2)); } int64_t P(int n, int r) const { if (r < 0 || n < r) return (0); return (mfact[n] * rfact[n - r] % mod); } int64_t C(int p, int q) const { if (q < 0 || p < q) return (0); return (mfact[p] * rfact[q] % mod * rfact[p - q] % mod); } int64_t H(int n, int r) const { if (n < 0 || r < 0) return (0); return (r == 0 ? 1 : C(n + r - 1, r)); } }; int main() { LL n, m; cin >> n >> m; Combination com(m+1); LL ans = 0; for (int i = 1; i < m+1; i++) { int rest = m - i; LL val = com.C(m, i)*com.pow(rest, n) % MOD; if (i % 2 == 1) { ans = (ans + val) % MOD; } else { ans = (ans - val + MOD) % MOD; } } ans = (com.pow(m, n) - ans + MOD) % MOD; cout << ans << endl; }