This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,abm,bmi2")
#define pii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define int long long
//#define ld long double
using namespace std;
using ll=long long;
const int inf = 2e18;
const int MN = 2e5+5;
const int mod=1e9+7;
int n,k;
int binpow(int x, int y) {
int res=1;
while(y) {
if(y&1) res=res*x%mod;
x=x*x%mod;
y>>=1;
}
return res;
}
int fact[MN],invfact[MN];
void preprocess() {
fact[0]=invfact[0]=1;
for (int i=1; i<MN; i++) {
fact[i]=fact[i-1]*i%mod;
}
invfact[MN-1]=binpow(fact[MN-1],mod-2);
for (int i=MN-2; i>=1; i--) {
invfact[i]=invfact[i+1]*(i+1)%mod;
}
}
int C(int n, int k) {
return fact[n]*invfact[k]%mod*invfact[n-k]%mod;
}
inline void solve() {
cin>>n>>k;
int ans=0;
for (int i=0; i<=k; i++) {
int cur=C(n+1,i)*binpow(k-i,n)%mod;
if(i&1) ans=(ans+mod-cur)%mod;
else ans=(ans+cur)%mod;
}
cout<<ans;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int t=1;
preprocess();
// cin>>t;
while(t--) {
solve();
}
}
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