#include using namespace std; typedef signed long long ll; #undef _P #define _P(...) (void)printf(__VA_ARGS__) #define FOR(x,to) for(x=0;x<(to);x++) #define FORR(x,arr) for(auto& x:arr) #define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++) #define ALL(a) (a.begin()),(a.end()) #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) //------------------------------------------------------- ll N,K; ll mo=1000000007; ll P[101010]; ll fact[101010]; ll modpow(ll a, ll n = mo-2) { ll r=1;a%=mo; while(n) r=r*((n%2)?a:1)%mo,a=a*a%mo,n>>=1; return r; } void solve() { int i,j,k,l,r,x,y; string s; cin>>N>>K; fact[0]=1; for(i=1;i<=K+1;i++) { (P[i]=modpow(i,K)+P[i-1])%=mo; fact[i]=fact[i-1]*i%mo; } if(N<=K+1) return _P("%lld\n",P[N]); N=N%mo+mo; ll ret=0; ll A=1; for(i=0;i<=K+1;i++) A=A*(N-i)%mo; for(i=0;i<=K+1;i++) { ll v=P[i]*A%mo*modpow(N-i)%mo; ll w=fact[K+1-i]*fact[i]%mo; v=v*modpow(w)%mo; if(i%2 != (K+1)%2) ret=(ret+mo-v)%mo; else ret=(ret+v)%mo; } cout<