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>
#define MAXN 3007
using namespace std;
const long long mod=1e9+7;
int n,k,nn,kk;
long long dp[MAXN][MAXN],ans;
bool li[MAXN][MAXN];
long long fact[MAXN],invfact[MAXN];
long long power(long long a,long long b){
if(b==0)return 1;
if(b==1)return a;
if(b==2)return (a*a)%mod;
if(b%2==0)return power(power(a,b/2),2);
return (power(power(a,b/2),2)*a)%mod;
}
long long comb(long long k,long long n){
return (((fact[n]*invfact[k])%mod)*invfact[n-k])%mod;
}
int main(){
cin>>n>>k;
fact[0]=invfact[0]=1;
for(long long i=1;i<=n+1;i++){
fact[i]=(fact[i-1]*i)%mod;
invfact[i]=power(fact[i],mod-2);
}
for(int i=0;i<=k-1;i++){
if(i%2==0) ans+=(comb(i,n+1)*power(k-i,n))%mod;
else ans-=(comb(i,n+1)*power(k-i,n))%mod;
ans=(ans+mod)%mod;
}
cout<<ans<<"\n";
return 0;
}
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