#include <cstdio>
#include <utility>

using u32 = unsigned int;
using u64 = unsigned long long;

template <u32 MOD>
struct Mint {
  u32 n;
  constexpr Mint(u32 n = 0): n(n) {}
  constexpr Mint operator-() const { return Mint(n ? MOD - n: 0); }
  constexpr Mint &operator+=(const Mint &rhs){ n += rhs.n; if(n >= MOD) n -= MOD; return *this; }
  constexpr Mint &operator-=(const Mint &rhs){ if(rhs.n > n) n += MOD; n -= rhs.n; return *this; }
  constexpr Mint &operator*=(const Mint &rhs){ n = (u64) n * rhs.n % MOD; return *this; }
  friend constexpr Mint operator+(const Mint &lhs, const Mint &rhs){ return Mint(lhs) += rhs; }
  friend constexpr Mint operator-(const Mint &lhs, const Mint &rhs){ return Mint(lhs) -= rhs; }
  friend constexpr Mint operator*(const Mint &lhs, const Mint &rhs){ return Mint(lhs) *= rhs; }
  friend constexpr bool operator==(const Mint &lhs, const Mint &rhs){ return lhs.n == rhs.n; }
  friend constexpr bool operator!=(const Mint &lhs, const Mint &rhs){ return lhs.n != rhs.n; }
};

template <class T>
T mypow(T a, u32 n){
  T r = 1;
  for(; n; n >>= 1){
    if(n&1) r *= a;
    a *= a;
  }
  return r;
}

template <u32 MOD>
Mint<MOD> inv(Mint<MOD> a){
  return mypow(a, MOD-2);
}

constexpr u32 mod = 1000000007;
using mint = Mint<mod>;

mint p;

/*
x / (1 - px - x^2)

1 - (2 + p^2) x + x^2

0 1  p       p^2+1                     -p / (p^2 + 4)
0 1 2p       3(p^2+1)                  -p / (p^2 + 4)

1 p p^2+1    p^3+2p
0 p 2(p^2+1) 3(p^3+2p)                 2 / (p^2 + 4)

0 0  1 2p

*/

mint q[21];
std::pair<mint, mint> bostan_mori_msb(u64 n){
  mint a = 0, b = 1;
  for(int i = 63 - __builtin_clzll(n); i; i--){
    if(n & (1 << i)){
      a += b;
      b *= q[i];
    }
    else {
      b += a;
      a *= q[i];
    }
  }
  if(n & 1){
    a = b - a;
    b *= q[0];
  }
  else {
    b = b - a;
    a *= q[0];
  }
  return {a, b};
}

int main(){
  u32 Q;
  scanf("%d%d\n", &p.n, &Q); 

  for(int i = 1; i < 1000; i++) if(mint(i) * inv(mint(i)) != 1) puts("ERR");
/*
  mint f0[4], f1[4], f0n[4], f1n[4];

  f0[0] = 0, f0[1] = 1;
  for(int i = 2; i < 4; i++) f0[i] = p * f0[i-1] + f0[i-2];
  f1[0] = 0;
  for(int i = 1; i < 4; i++) f1[i] = f0[i-1];
  for(int i = 0; i < 4; i++){
    f0n[i] = i * f0[i];
    f1n[i] = i * f1[i];
  }

  mint g[4];
  for(int i = 0; i < 4; i++){
    g[i] = 0;
    for(int j = 0; j <= i; j++)
      g[i] += f0[j] * f0[i-j];
  }
*/
  mint s = inv(p * p + 4);
  mint t = 2 * s;
  s *= -p;

  q[0] = p;
  q[1] = p * p + 2;
  for(u32 i = 2; i < sizeof(q)/sizeof(*q); i++) q[i] = q[i-1] * q[i-1] - 2;

  while(Q--){
    u32 n;
    scanf("%d", &n);
    n -= 2;
    auto [a, b] = bostan_mori_msb(n);
    mint z = s * (1 + n) * a + t * n * b;
//    printf("%d %d %d\n", a.n, b.n, z.n);
    printf("%d\n", z.n);
  }

  return 0;
}