#include using namespace std; #define all(a) (a).begin(), (a).end() #define uniq(a) (a).erase(unique(all(a)), (a).end()) using ll = long long; using ull = unsigned long long; using vll = vector; using pll = pair; template using priority_queue_rev = priority_queue, greater>; constexpr double PI = 3.1415926535897932384626433832795028; constexpr ll DY[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0}; constexpr ll DX[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0}; ull bit(int n) { return 1ull << n; } template T sign(T a) { return (a > 0) - (a < 0); } template T cdiv(T a, T b) { return (a - 1 + b) / b; } template T sq(const T &a) { return a * a; } template bool chmax(T &a, const U &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const U &b) { if (b < a) { a = b; return true; } return false; } template ostream &operator<<(ostream &os, const pair &a) { os << "(" << a.first << ", " << a.second << ")"; return os; } template ostream &operator<<(ostream &os, const tuple &a) { auto [t, u, v] = a; os << "(" << t << ", " << u << ", " << v << ")"; return os; } template ostream &operator<<(ostream &os, const vector &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); } os << ")"; return os; } template ostream &operator<<(ostream &os, const deque &a) { os << "("; for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); } os << ")"; return os; } template ostream &operator<<(ostream &os, const set &a) { os << "{"; for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const multiset &a) { os << "{"; for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); } os << "}"; return os; } template ostream &operator<<(ostream &os, const map &a) { os << "{"; for (auto itr = a.begin(); itr != a.end(); itr++) { os << *itr << (next(itr) != a.end() ? ", " : ""); } os << "}"; return os; } struct setup { static constexpr ll PREC = 20; setup() { cout << fixed << setprecision(PREC); cerr << fixed << setprecision(PREC); }; } setup; #ifdef ONLINE_JUDGE #define dump(...) (void(0)) #else void debug() { cerr << endl; } template void debug(Head &&head, Tail &&... tail) { cerr << head; if (sizeof...(Tail)) cerr << ", "; debug(tail...); } #define dump(...) cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ", debug(__VA_ARGS__) #endif struct rep { struct itr { int v; itr(int v) : v(v) {} void operator++() { ++v; } int operator*() const { return v; } bool operator!=(const itr &i) const { return v != i.v; } }; int l, r; rep(int r) : l(min(0, r)), r(r) {} rep(int l, int r) : l(min(l, r)), r(r) {} itr begin() const { return l; }; itr end() const { return r; }; }; struct per { struct itr { int v; itr(int v) : v(v) {} void operator++() { --v; } int operator*() const { return v; } bool operator!=(const itr &i) const { return v != i.v; } }; int l, r; per(int r) : l(min(0, r)), r(r) {} per(int l, int r) : l(min(l, r)), r(r) {} itr begin() const { return r - 1; }; itr end() const { return l - 1; }; }; template struct modint { ll val; modint(ll val = 0) : val(val >= 0 ? val % MOD : (MOD - (-val) % MOD) % MOD) {} static ll mod() { return MOD; } modint inv() const { ll a = val, b = MOD, u = 1, v = 0, t; while (b > 0) { t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return modint(u); } modint pow(ll p) const { modint res = 1, mul = val; while (p) { if (p & 1) res *= mul; mul *= mul; p >>= 1; } return res; } modint &operator+=(const modint &a) { if ((val += a.val) >= MOD) val -= MOD; return *this; } modint &operator-=(const modint &a) { if ((val += MOD - a.val) >= MOD) val -= MOD; return *this; } modint &operator*=(const modint &a) { (val *= a.val) %= MOD; return *this; } modint &operator/=(const modint &a) { return *this *= a.inv(); } bool operator==(const modint &a) const { return val == a.val; } bool operator!=(const modint &a) const { return rel_ops::operator!=(*this, a); } modint operator+() const { return *this; } modint operator-() const { return modint(-val); } friend modint operator+(const modint &a, const modint &b) { return modint(a) += b; } friend modint operator-(const modint &a, const modint &b) { return modint(a) -= b; } friend modint operator*(const modint &a, const modint &b) { return modint(a) *= b; } friend modint operator/(const modint &a, const modint &b) { return modint(a) /= b; } friend istream &operator>>(istream &is, modint &a) { ll val; is >> val; a = modint(val); return is; } friend ostream &operator<<(ostream &os, const modint &a) { return os << a.val; } }; template long long discrete_binary_search(long long ok, long long ng, F is_ok) { while (abs(ok - ng) > 1) { long long mid = (ok + ng) / 2; (is_ok(mid) ? ok : ng) = mid; } return ok; } int main() { ll k, q; cin >> k >> q; vll gnct{0}; while (gnct.back() < 1e18) { ll x = gnct.back(); gnct.emplace_back(discrete_binary_search( 1, LLONG_MAX, [&](ll y) { return x >= cdiv((__int128_t)(k - 1) * (y - 1), (__int128_t)k); })); } while (q--) { ll n; cin >> n; cout << *prev(lower_bound(all(gnct), n)) + 1 << endl; } }