// original:
// https://yukicoder.me/submissions/9008

#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

char rbuf[256];
#define RD(v) int v=0;{int c;while(c=*rp++-48,c>=0)v=v*10+c;}
#define RDL(v) long v=0;{int c;while(c=*rp++-48,c>=0)v=v*10+c;}

#define MOD 1000000000

long inverse(long a, long m){
	long b = m, u = 1, v = 0;
	while (b) {
		long t = a / b;
		long x;
		x=a-t*b; a=b; b=x;
		x=u-t*v; u=v; v=x;
	}
	return (u % m + m) % m;
}

int two = 0, five = 0;
long rem = 1;
void calc(int a, int b){
	for(int i=a;i<=b;i++){
		int j = i;
		int k=ffs(j)-1;
		j>>=k;
		two+=k;
		while(j % 5 == 0){
			++five;
			j /= 5;
		}
		rem = (rem * j) % MOD;
	}
}

main(){
	read(0,rbuf,sizeof rbuf);
	char*rp=rbuf;
	RDL(n);
	RDL(m);
	n/=1000;
	n%=m;
	if(n+n>m) n=m-n;
	calc(1,n);
	rem=inverse(rem,MOD);
	two=-two; five=-five;
	calc(m-n+1,m);
	while(five--) rem=rem*5;
	printf("%ld",(rem<<two)%MOD);
}