#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define mk make_pair
#define lowbit(x) (x&(-x))
#define pb emplace_back
#define pr pair<int,int>
#define let const auto
#define all(A) A.begin(),A.end()
void chkmin(int &x,int y){x=min(x,y);}
void chkmax(int &x,int y){x=max(x,y);}
int read(){
	int x=0,f=1; char c=getchar();
	while(('0'>c||c>'9')&&c!='-') c=getchar();
	if(c=='-') f=0,c=getchar();
	while('0'<=c&&c<='9') x=(x<<1)+(x<<3)+(c^48),c=getchar();
	return f?x:-x;
}
const int mod=1e9+9;
int m,k,ans;
int qpow(int a,int b=mod-2){
	int ans=1;
	while(b){
		if(b&1) ans=1ll*ans*a%mod;
		a=1ll*a*a%mod; b>>=1;
	}
	return ans;
}
int main(){
	m=read(),k=read();
	int cur=0,num=1;
	for(int i=1; i<=k; i++){
		ans=(ans+1ll*m*(cur+1))%mod;
		cur=(1ll*cur*(num-1)+1ll*m*(cur+1))%mod*qpow(num+m-1)%mod;
		num+=m-1;
	}
	printf("%d\n",ans);
	return 0;
}