#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template void take(vector& vec, int n) { vec.resize(n); for (int i = 0; i < n; ++i) cin >> vec[i]; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif namespace solver { template struct In2 { T1 a; T2 b; friend std::istream& operator>>(std::istream& is, In2& obj) { T1 t1; T2 t2; is >> t1 >> t2; obj = {t1, t2}; return is; } }; template struct In3 { T1 a; T2 b; T3 c; friend std::istream& operator>>(std::istream& is, In3& obj) { T1 t1; T2 t2; T3 t3; is >> t1 >> t2 >> t3; obj = {t1, t2, t3}; return is; } }; map memo; ll f(ll n, ll k) { if (memo.count(n)) return memo[n]; if (n == 1) return 0; ll t = f(n - ((n - 1) / k) - 1, k); // return memo[n] = t + (t / (k - 1)) + 1; return memo[n] = (k * t / (k - 1)) + 1; } ll naive(ll n, ll k) { vector vs(n); for (ll i : range(n)) vs[i] = i; while (vs.size() > 1) { vector next; for (ll i : range(vs.size())) if (i % k != 0) next.push_back(vs[i]); vs = next; } return vs[0]; } void experiment() { ll k = 3000; vector jumps; for (ll n : range(1, 100000)) { if (f(n, k) == n - 1) { jumps.push_back(n); } } dump(jumps.size()); // for (ll i : range(jumps.size() - 1)) dump(jumps[i + 1] / k + 1 << " " << (jumps[i + 1] - jumps[i])); // for (ll i : range(jumps.size() - 1)) dump(i << " " << jumps[i + 1] - jumps[i]); // for (ll n : range(1, 100)) dump(n << " " << f(n, k) << " " << naive(n, k)); } ll k, q; vector vs; void read() { cin >> k >> q; take(vs, q); } using RetType = void; RetType run() { vector ns = {1}; ll nmax = 1LL << 60; while (1) { ll nprev = ns.back(); ll lo = nprev, hi = nmax; if (hi - hi / k <= nprev) break; while (hi - lo > 1) { ll n = (hi + lo) / 2; if (n - 1 - (n - 1) / k < nprev) lo = n; else hi = n; } ns.push_back(hi); } dump(ns.size()); dump(ns); for (ll x : vs) { auto it = lower_bound(ns.begin(), ns.end(), x + 1); it--; cout << *it << endl; } } } // namespace template void run(F f) { if constexpr (std::is_same_v) f(); else cout << f() << endl; } int main(int argc, char** argv) { // solver::experiment(); cerr << fixed << setprecision(12); cout << fixed << setprecision(12); int testcase = 1; if (argc > 1) testcase = atoi(argv[1]); while (testcase--) { solver::read(); } run(solver::run); }