#include #include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; // NOLINT using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } struct Inf { template constexpr operator T() { return numeric_limits::max() / 2; } }; // clang-format on class Eratosthenes { vector plist; public: Eratosthenes(int sz) : plist(sz, -1) { for (int i = 2; i < sz; i++) { if (plist[i] == -1) { for (int j = i; j < sz; j += i) { if (plist[j] == -1) { plist[j] = i; } } } } } bool is_prime(int n) { return plist[n] == n; } vector factor(int n) { vector res; while (n > 1) { res.push_back(plist[n]); n /= plist[n]; } return res; } vector divisor(int n) { vector> runlength; for (auto e : this->factor(n)) { if (runlength.size() == 0 || runlength.back().first != e) { runlength.emplace_back(e, 1); } else { runlength.back().second++; } } vector res; auto dfs = [&](auto &f, unsigned int idx, int d) { if (idx == runlength.size()) { res.push_back(d); return; } for (int i = 0, m = 1; i <= runlength[idx].second; i++, m *= runlength[idx].first) { f(f, idx + 1, d * m); } }; dfs(dfs, 0, 1); // sort(res.begin(), res.end()); return res; } }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n, q; cin, n, q; vector ans1(n + 1, 0), ans2(n + 1, 1); ans1[1] = 1; Eratosthenes erat(n + 1); for (int i = 1; i <= n; i++) { for (int j = 2 * i; j <= n; j += i) { ans1[j] += ans1[i]; } } for (int i = n; i >= 1; i--) { for (auto e : erat.divisor(i)) { ans2[e] += ans2[i]; } } rep(i, 0, q) { int x; cin, x; print(ans1[x] * ans2[x] / 2); } return 0; }