// #define DEBUGGING #include #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() using ll = std::int64_t; using ull = std::uint64_t; using PLL = std::pair; using TLL = std::tuple; template using V = std::vector; template using VV = V>; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return std::max(low, std::min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { return t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } #define mv_rec make_v(init, tail...) template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { return V(s, mv_rec); } #undef mv_rec using namespace std; #ifdef DEBUGGING #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif const ll mod = 1e9 + 7; int main() { ll P; cin >> P; ll mat[2][2] = { { P, (ll)1, }, { (ll)1, 0, }, }; ll cur[2] = {}; auto inc = [&](ll v) { ll n1 = (mat[0][0] * cur[0] + mat[0][1] * cur[1] + v) % mod; ll n2 = (mat[1][0] * cur[0] + mat[1][1] * cur[1]) % mod; cur[0] = n1; cur[1] = n2; }; inc(0); inc(1); ll Q; cin >> Q; V query(Q); ll a0 = 0, a1 = 1; auto inc_a = [&] { ll na1 = P * a1 + a0; a0 = a1; a1 = na1 % mod; }; for (ll i = 0; i < Q; i++) { ll q; cin >> q; query[i] = PLL(q, i); } sort(ALL(query)); V ans(Q); ll idx = 3; for (auto &&ele : query) { ll q, i; tie(q, i) = ele; while (idx < q) { inc_a(); inc(a1); idx++; } ans[i] = cur[1]; } for (ll i = 0; i < Q; i++) cout << ans[i] << endl; return 0; }