#include<iostream>
#include<vector>
using namespace std;

const int BIG = 1000003;
int main(){
	int x, n;
	cin >> x >> n;
	vector<int> v(n);
	for(int i=0; i<n; i++)cin >> v[i];

	int sum =0;
	for(int i=0; i<n; i++){
		int tmp=x;
		if(v[i] == 0){
			sum+=1;
			sum = sum%BIG;
			continue;
		}
		for(int j=0; j<v[i]-1; j++){
			tmp *= x;
			tmp = tmp%BIG;
		}
		sum += tmp;
		sum = sum%BIG;
		cout << i << " : " << tmp << endl; 
	}
	cout << sum << endl;
}