#include <iostream>
#include <cstdio>
#define ll long long
using namespace std;
const int _MOD = 1000000007;
int n, m;
ll pow[1000010];
ll nipow[1000010];
inline ll Pow(ll a, ll b) {
ll res = 1;
while (b) {
if (b&1) res = res*a%_MOD;
a = a*a%_MOD;
b>>=1;
}
return res;
}
inline ll _(int a) {
return a&1?_MOD-1:1;
}
int main() {
scanf("%d%d", &n, &m);
pow[0] = 1;
for (int i = 1; i <= m; i++) {
pow[i] = pow[i-1]*i%_MOD;
}
nipow[m] = Pow(pow[m], _MOD-2);
for (int i = m-1; i > -1; i--) {
nipow[i] = nipow[i+1]*(i+1)%_MOD;
}
ll res = 0;
for (int i = 0; i <= m; i++) {
res+=_(m-i)*Pow(i, n)%_MOD*nipow[i]%_MOD*nipow[m-i]%_MOD;
if (res>=_MOD) res-=_MOD;
}
printf("%lld", res);
return 0;
}
5251:斯特林数
最新推荐文章于 2025-04-30 16:36:16 发布