#include <cstdio>
#include <cstring>
#include <iostream>
#include <string>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <complex>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <cassert>
#include <fstream>
#include <utility>
#include <functional>
#include <time.h>
#include <stack>
#define popcount __builtin_popcount
using namespace std;
typedef long long ll;
typedef pair<int, int> P;
const ll MOD=1e9+7;
ll powmod(ll a, ll k){
    ll ap=a, ans=1;
    while(k){
        if(k&1){
            ans*=ap;
            ans%=MOD;
        }
        ap=ap*ap;
        ap%=MOD;
        k>>=1;
    }
    return ans;
}
ll inv(ll a){
    return powmod(a, MOD-2);
}
vector<vector<ll>> matrixmul(int l, int m, int n, vector<vector<ll>> a, vector<vector<ll>> b){
	vector<vector<ll>> c(l, vector<ll>(n));
	for(int i=0; i<l; i++){
		for(int j=0; j<n; j++){
			for(int k=0; k<m; k++){
				(c[i][j]+=a[i][k]*b[k][j])%=MOD;
			}
		}
	}
	return c;
}
vector<vector<ll>> matrixpow(int n, vector<vector<ll>> a, ll k){
	vector<vector<ll>> ap=a, ans(n, vector<ll>(n));
	for(int i=0; i<n; i++) ans[i][i]=1;
	while(k){
		if(k&1) ans=matrixmul(n, n, n, ap, ans);
		ap=matrixmul(n, n, n, ap, ap);
		k>>=1;
	}
	return ans;
}
int main()
{
    ll p;
    cin>>p;
    ll v=inv((p*p+4)%MOD);
    int q; cin>>q;
    ll a[2000020], b[2000020];
    a[1]=0, a[2]=1;
    for(int i=3; i<=2000000; i++){
        a[i]=(p*a[i-1]+a[i-2])%MOD;
    }
    b[0]=2, b[1]=p;
    for(int i=2; i<=2000000; i++){
        b[i]=(p*b[i-1]+b[i-2])%MOD;
    }
    for(int i=0; i<q; i++){
        int x;
        cin>>x;
        cout<<((ll)(x-1)*b[x-2]%MOD-2*a[x]%MOD+MOD)*v%MOD<<endl;
    }
    return 0;
}