#include #define LLI long long int #define FOR(v, a, b) for(LLI v = (a); v < (b); ++v) #define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v) #define REP(v, n) FOR(v, 0, n) #define REPE(v, n) FORE(v, 0, n) #define REV(v, a, b) for(LLI v = (a); v >= (b); --v) #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it) #define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it) #define EXIST(c,x) ((c).find(x) != (c).end()) #define fst first #define snd second #define popcount __builtin_popcount #define UNIQ(v) (v).erase(unique(ALL(v)), (v).end()) #define bit(i) (1LL<<(i)) #ifdef DEBUG #include #else #define dump(...) ((void)0) #endif #define gcd __gcd using namespace std; template constexpr T lcm(T m, T n){return m/gcd(m,n)*n;} template void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost< istream& operator>>(istream &is, vector &v){for(auto &a : v) is >> a; return is;} template void puts_all(const T &value){std::cout << value << "\n";} template void puts_all(const T &value, const Args&... args){std::cout << value << " ";puts_all(args...);} template bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);} template bool chmax(T &a, const U &b){return (a void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);} template auto make_vector(int n, int m, const T &value){return vector>(n, vector(m, value));} struct Init{ Init(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12); cerr << fixed << setprecision(12); } }init; template class ModInt{ public: std::uint64_t val; ModInt(): val(0){} ModInt(std::int64_t n){ if(n >= M) val = n % M; else if(n < 0) val = n % M + M; else val = n; } inline constexpr auto operator+(const ModInt &a) const {return ModInt(val + a.val);} inline constexpr auto operator-(const ModInt &a) const {return ModInt(val - a.val);} inline constexpr auto operator*(const ModInt &a) const {return ModInt(val * a.val);} inline constexpr auto operator/(const ModInt &a) const {return ModInt(val * a.inv().val);} inline constexpr auto& operator=(const ModInt &a){val = a.val; return *this;} inline constexpr auto& operator+=(const ModInt &a){if((val += a.val) >= M) val -= M; return *this;} inline constexpr auto& operator-=(const ModInt &a){if(val < a.val) val += M; val -= a.val; return *this;} inline constexpr auto& operator*=(const ModInt &a){(val *= a.val) %= M; return *this;} inline constexpr auto& operator/=(const ModInt &a){(val *= a.inv().val) %= M; return *this;} inline constexpr bool operator==(const ModInt &a) const {return val == a.val;} inline constexpr bool operator!=(const ModInt &a) const {return val != a.val;} inline constexpr auto& operator++(){*this += 1; return *this;} inline constexpr auto& operator--(){*this -= 1; return *this;} inline constexpr auto operator++(int){auto t = *this; *this += 1; return t;} inline constexpr auto operator--(int){auto t = *this; *this -= 1; return t;} inline constexpr static auto frac(std::int64_t a, std::int64_t b){ return ModInt(a) / ModInt(b); } inline constexpr static ModInt power(std::int64_t n, std::int64_t p){ if(p < 0) return power(n, -p).inv(); ModInt ret = 1, e = n; for(; p; e *= e, p >>= 1) if(p & 1) ret *= e; return ret; } inline constexpr auto power(std::int64_t p) const {return power(val, p);} inline constexpr ModInt inv() const { std::int64_t a = val, b = M, u = 1, v = 0; while(b){ std::int64_t t = a/b; a -= t*b; std::swap(a,b); u -= t*v; std::swap(u,v); } u %= M; if(u < 0) u += M; return u; } }; template auto operator-(const ModInt &a){return ModInt(-a.val);} template auto operator+(std::int64_t a, const ModInt &b){return ModInt(a) + b;} template auto operator-(std::int64_t a, const ModInt &b){return ModInt(a) - b;} template auto operator*(std::int64_t a, const ModInt &b){return ModInt(a) * b;} template auto operator/(std::int64_t a, const ModInt &b){return ModInt(a) / b;} template std::istream& operator>>(std::istream &is, ModInt &a){is >> a.val; return is;} template std::ostream& operator<<(std::ostream &os, const ModInt &a){os << a.val; return os;} using mint = ModInt<1000000007>; const int MAX = 2000000; int main(){ int p, Q; while(cin >> p >> Q){ vector a(MAX+1); a[1] = 0; a[2] = 1; FORE(i,3,MAX) a[i] = a[i-1] * p + a[i-2]; vector sum(MAX+1); FORE(i,2,MAX){ if(i % 2 == 0){ sum[i] = (sum[i-1] * p / 2 + (sum[i-2] + a[i/2-1] * a[i/2-1]) / 2) * 2 + a[i/2] * a[i/2]; }else{ sum[i] = ((sum[i-1] + a[i/2] * a[i/2]) / 2 * p + sum[i-2] / 2 + a[(i-2)/2] * a[i-2-(i-2)/2]) * 2; } } /* FORE(i,1,10){ dump(a[i]); } FORE(s,2,10){ mint t = 0; FORE(i,1,s-1){ if(i < s-i) t += a[i] * a[s-i]; } dump(t); } */ REP(i,Q){ int q; cin >> q; cout << sum[q] << endl; } } return 0; }