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#include <bits/stdc++.h>
using namespace std;
ifstream fin("grigo.in");
ofstream fout("grigo.out");
const int NMAX = 100000;
const int MOD = 1000003;
vector<int> poz(NMAX+5);
int main(){
int n, m;
long long rez = 1;
fin>>n>>m;
for(int i=1; i<=m; i++){
int val;
fin>>val;
poz[val]=1;
}
for(int i=1; i<=n; i++){
if(!poz[i]){
rez=(1LL*rez*(i-1))%MOD;
}
}
fout<<rez;
}