#include using namespace std; using lint = long long; const lint inf = 1LL << 60; const lint mod = 1000000007; struct mint { lint v; lint _mod; mint() : v(0) {} mint(signed v, lint _mod = mod) : v(v), _mod(_mod) {} mint(lint t, lint _mod = mod) : _mod(_mod) { v = t % _mod; if (v < 0) v += _mod; } mint pow(lint k) { mint res(1), tmp(v); while (k) { if (k & 1) res *= tmp; tmp *= tmp; k >>= 1; } return res; } static mint add_identity() { return mint(0); } static mint mul_identity() { return mint(1); } mint inv() { return pow(_mod - 2); } mint &operator+=(mint a) { v += a.v; if (v >= _mod) v -= _mod; return *this; } mint &operator-=(mint a) { v += _mod - a.v; if (v >= _mod) v -= _mod; return *this; } mint &operator*=(mint a) { v = v * a.v % _mod; return *this; } mint &operator/=(mint a) { return (*this) *= a.inv(); } mint operator+(mint a) const { return mint(v) += a; }; mint operator-(mint a) const { return mint(v) -= a; }; mint operator*(mint a) const { return mint(v) *= a; }; mint operator/(mint a) const { return mint(v) /= a; }; mint operator-() const { return v ? mint(_mod - v) : mint(v); } bool operator==(const mint a) const { return v == a.v; } bool operator!=(const mint a) const { return v != a.v; } bool operator<(const mint a) const { return v < a.v; } }; ostream &operator<<(ostream &os, mint m) { return os << m.v; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); lint p; cin >> p; lint Q; cin >> Q; vector q(Q); for (int i = 0; i < Q; ++i) { cin >> q[i]; } lint n = 2000001; vector fib(n + 1, 0); fib[1] = 0; fib[2] = 1; for (int i = 3; i <= n; ++i) { fib[i] = fib[i - 1] * p + fib[i - 2]; } vector dp(n + 1, 0); dp[3] = fib[1] * fib[2] * 2; dp[4] = fib[1] * fib[3] * 2 + fib[2] * fib[2]; for (int i = 5; i <= n; ++i) { mint m2 = dp[i - 2]; mint m1 = dp[i - 1] - fib[1] * fib[i - 1]; dp[i] = m1 * p + m2 + fib[1] * fib[i - 1] + fib[2] * fib[i - 2]; } for (int i = 0; i < Q; ++i) { cout << dp[q[i]] << "\n"; } return 0; }