#include "bits/stdc++.h" #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef vector veci; typedef vector vecll; typedef vector vecs; template using Hash=unordered_map; #define REP(i, a, n) for(ll i = a; i < n; i++) #define RREP(i, a, n) for(ll i = n-1; i >= a; i--) #define rep(i, n) REP(i, 0, n) #define rrep(i, n) RREP(i, 0, n) #define MD 1000000007 template T read(){T a;cin >> a;return a;} template void read(T& a){cin >> a;} template void read(T& a, Args&... args){cin >> a; read(args...);} template void rarr(T a, int n){for(int i = 0; i < n; i++) {cin >> a[i];}} template void write(T a){cout << setprecision(12) << a << endl;} template void write(T a, Args... args){cout << setprecision(12) << a << c; write(args...);} template void warr(vector a, const char* c = " "){cout << a[0];for(int i = 1; i < (int)a.size(); i++)cout << c << a[i];cout << endl;;} template void warr(T a, int n, const char* c = " "){cout << a[0];for(int i = 1; i < n; i++)cout << c << a[i];cout << endl;} void split(string s, string delim, veci& result){result.clear();string::size_type pos = 0;while(pos != string::npos){string::size_type p = s.find(delim, pos);if(p == string::npos){result.push_back(atoi(s.substr(pos).data()));break;}else {result.push_back(atoi(s.substr(pos, p - pos).data()));}pos = p + delim.size();}} void split(string s, string delim, vecs& result){result.clear();string::size_type pos = 0;while(pos != string::npos){string::size_type p = s.find(delim, pos);if(p == string::npos){result.push_back(s.substr(pos));break;}else {result.push_back(s.substr(pos, p - pos));}pos = p + delim.size();}} ll gcd(ll a, ll b){while(true){ll k = a % b;if(k == 0)return b;a = b;b = k;}} ll comb(ll n, ll m){ll p=1;m=min(m,n-m);for(ll i=1;i<=m;i++){p*=n-i+1;p/=i;}return p;} ull power( const ull& a, ull k, const ull& n ) { if ( a == 0 || n == 0 ) return( 0 ); if ( k == 0 ) return( 1 % n ); ull currentMod = a % n; ull currentValue = ( ( k & 1 ) > 0 ) ? currentMod : 1; for ( k >>= 1 ; k > 0 ; k >>= 1 ) { currentMod = ( currentMod * currentMod ) % n; if ( ( k & 1 ) > 0 ) currentValue = ( currentValue * currentMod ) % n; } return( currentValue ); } inline ll mult(ll a,ll b){ return ((a%MD)*(b%MD))%MD; } inline ll divi(ll a, ll b){ return (((a%MD)*power(b,MD-2,MD))%MD); } inline ll plu(ll a, ll b){ return (a+b)%MD; } inline ll minu(ll a, ll b){ return (a-b+MD)%MD; } int main(void) { ll frac[10100]={1},inv_frac[10100]={1}; REP(i,1,10100)frac[i]=(frac[i-1]*i)%MD; REP(i,1,10100)inv_frac[i]=power(frac[i],MD-2,MD); ll n,k; read(n,k); ll br[10100]={n,divi(mult(n,n+1),2)}; REP(i,2,k+1){ rep(j,i){ ll c=mult(frac[i+1],mult(inv_frac[i-j+1],inv_frac[j])); //write(i+1,j,c); if((i+j)%2==0)br[i]=plu(br[i],mult(c,br[j])); else br[i]=minu(br[i],mult(c,br[j])); } br[i]=minu(br[i],power(n,i+1,MD)); br[i]=divi(br[i],minu(0,i+1)); } write(br[k]); return 0; }