#include <bits/stdc++.h> #define int long long using namespace std; const int N = 100010,mod = 1e9+7; int qmi(int a,int k,int p){ int res = 1; while(k){ if(k&1) res = res * a % p; a = a * a %p; k >>= 1; } return res; } int fact[N],infact[N]; int c(int n,int m){ if(n<0||m>n||m<0) return 0; return fact[n] * infact[n-m]%mod * infact[m] % mod; } int s2(int n,int m){ int ans = 0; for(int k=0;k<=m;k++){ if(k%2){ ans=(ans-c(m,k) % mod * qmi(m-k,n,mod) + mod)% mod; }else{ ans=(ans + c(m,k) %mod * qmi(m-k,n,mod) )% mod; } } return ans*infact[m]%mod; } signed main(){ int n,m; cin>>n>>m; fact[0]=1,infact[0]=1; ///就是这里,把n该成N就不对了为什么?? for(int i=1;i<=n;i++){ fact[i] = (fact[i-1]*i %mod); infact[i]=(infact[i-1]*qmi(i,mod-2,mod))%mod; } int ans = s2(n,m); cout<<ans<<'\n'; }
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