結果
問題 | No.2066 Simple Math ! |
ユーザー |
![]() |
提出日時 | 2022-09-02 22:10:52 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 187 ms / 2,000 ms |
コード長 | 23,299 bytes |
コンパイル時間 | 1,938 ms |
コンパイル使用メモリ | 207,564 KB |
最終ジャッジ日時 | 2025-02-07 01:20:33 |
ジャッジサーバーID (参考情報) |
judge2 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 31 |
コンパイルメッセージ
/home/nok0/documents/programming/library/template/input.hpp: In function ‘void scanner::scan(char*)’: /home/nok0/documents/programming/library/template/input.hpp:29:33: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
ソースコード
#line 1 "/home/nok0/documents/programming/library/atcoder/math.hpp"#include <algorithm>#include <cassert>#include <tuple>#include <vector>#line 1 "/home/nok0/documents/programming/library/atcoder/internal_math.hpp"#include <utility>#ifdef _MSC_VER#include <intrin.h>#endifnamespace atcoder {namespace internal {// @param m `1 <= m`// @return x mod mconstexpr long long safe_mod(long long x, long long m) {x %= m;if (x < 0) x += m;return x;}// Fast modular multiplication by barrett reduction// Reference: https://en.wikipedia.org/wiki/Barrett_reduction// NOTE: reconsider after Ice Lakestruct barrett {unsigned int _m;unsigned long long im;// @param m `1 <= m < 2^31`explicit barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}// @return munsigned int umod() const { return _m; }// @param a `0 <= a < m`// @param b `0 <= b < m`// @return `a * b % m`unsigned int mul(unsigned int a, unsigned int b) const {// [1] m = 1// a = b = im = 0, so okay// [2] m >= 2// im = ceil(2^64 / m)// -> im * m = 2^64 + r (0 <= r < m)// let z = a*b = c*m + d (0 <= c, d < m)// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1) < 2^64 * 2// ((ab * im) >> 64) == c or c + 1unsigned long long z = a;z *= b;#ifdef _MSC_VERunsigned long long x;_umul128(z, im, &x);#elseunsigned long long x =(unsigned long long)(((unsigned __int128)(z)*im) >> 64);#endifunsigned int v = (unsigned int)(z - x * _m);if (_m <= v) v += _m;return v;}};// @param n `0 <= n`// @param m `1 <= m`// @return `(x ** n) % m`constexpr long long pow_mod_constexpr(long long x, long long n, int m) {if (m == 1) return 0;unsigned int _m = (unsigned int)(m);unsigned long long r = 1;unsigned long long y = safe_mod(x, m);while (n) {if (n & 1) r = (r * y) % _m;y = (y * y) % _m;n >>= 1;}return r;}// Reference:// M. Forisek and J. Jancina,// Fast Primality Testing for Integers That Fit into a Machine Word// @param n `0 <= n`constexpr bool is_prime_constexpr(int n) {if (n <= 1) return false;if (n == 2 || n == 7 || n == 61) return true;if (n % 2 == 0) return false;long long d = n - 1;while (d % 2 == 0) d /= 2;constexpr long long bases[3] = {2, 7, 61};for (long long a : bases) {long long t = d;long long y = pow_mod_constexpr(a, t, n);while (t != n - 1 && y != 1 && y != n - 1) {y = y * y % n;t <<= 1;}if (y != n - 1 && t % 2 == 0) {return false;}}return true;}template <int n> constexpr bool is_prime = is_prime_constexpr(n);// @param b `1 <= b`// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/gconstexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {a = safe_mod(a, b);if (a == 0) return {b, 0};// Contracts:// [1] s - m0 * a = 0 (mod b)// [2] t - m1 * a = 0 (mod b)// [3] s * |m1| + t * |m0| <= blong long s = b, t = a;long long m0 = 0, m1 = 1;while (t) {long long u = s / t;s -= t * u;m0 -= m1 * u; // |m1 * u| <= |m1| * s <= b// [3]:// (s - t * u) * |m1| + t * |m0 - m1 * u|// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)// = s * |m1| + t * |m0| <= bauto tmp = s;s = t;t = tmp;tmp = m0;m0 = m1;m1 = tmp;}// by [3]: |m0| <= b/g// by g != b: |m0| < b/gif (m0 < 0) m0 += b / s;return {s, m0};}// Compile time primitive root// @param m must be prime// @return primitive root (and minimum in now)constexpr int primitive_root_constexpr(int m) {if (m == 2) return 1;if (m == 167772161) return 3;if (m == 469762049) return 3;if (m == 754974721) return 11;if (m == 998244353) return 3;int divs[20] = {};divs[0] = 2;int cnt = 1;int x = (m - 1) / 2;while (x % 2 == 0) x /= 2;for (int i = 3; (long long)(i)*i <= x; i += 2) {if (x % i == 0) {divs[cnt++] = i;while (x % i == 0) {x /= i;}}}if (x > 1) {divs[cnt++] = x;}for (int g = 2;; g++) {bool ok = true;for (int i = 0; i < cnt; i++) {if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {ok = false;break;}}if (ok) return g;}}template <int m> constexpr int primitive_root = primitive_root_constexpr(m);// @param n `n < 2^32`// @param m `1 <= m < 2^32`// @return sum_{i=0}^{n-1} floor((ai + b) / m) (mod 2^64)unsigned long long floor_sum_unsigned(unsigned long long n,unsigned long long m,unsigned long long a,unsigned long long b) {unsigned long long ans = 0;while (true) {if (a >= m) {ans += n * (n - 1) / 2 * (a / m);a %= m;}if (b >= m) {ans += n * (b / m);b %= m;}unsigned long long y_max = a * n + b;if (y_max < m) break;// y_max < m * (n + 1)// floor(y_max / m) <= nn = (unsigned long long)(y_max / m);b = (unsigned long long)(y_max % m);std::swap(m, a);}return ans;}} // namespace internal} // namespace atcoder#line 10 "/home/nok0/documents/programming/library/atcoder/math.hpp"namespace atcoder {long long pow_mod(long long x, long long n, int m) {assert(0 <= n && 1 <= m);if (m == 1) return 0;internal::barrett bt((unsigned int)(m));unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));while (n) {if (n & 1) r = bt.mul(r, y);y = bt.mul(y, y);n >>= 1;}return r;}long long inv_mod(long long x, long long m) {assert(1 <= m);auto z = internal::inv_gcd(x, m);assert(z.first == 1);return z.second;}// (rem, mod)std::pair<long long, long long> crt(const std::vector<long long>& r,const std::vector<long long>& m) {assert(r.size() == m.size());int n = int(r.size());// Contracts: 0 <= r0 < m0long long r0 = 0, m0 = 1;for (int i = 0; i < n; i++) {assert(1 <= m[i]);long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];if (m0 < m1) {std::swap(r0, r1);std::swap(m0, m1);}if (m0 % m1 == 0) {if (r0 % m1 != r1) return {0, 0};continue;}// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));// r2 % m0 = r0// r2 % m1 = r1// -> (r0 + x*m0) % m1 = r1// -> x*u0*g = r1-r0 (mod u1*g) (u0*g = m0, u1*g = m1)// -> x = (r1 - r0) / g * inv(u0) (mod u1)// im = inv(u0) (mod u1) (0 <= im < u1)long long g, im;std::tie(g, im) = internal::inv_gcd(m0, m1);long long u1 = (m1 / g);// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)if ((r1 - r0) % g) return {0, 0};// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)long long x = (r1 - r0) / g % u1 * im % u1;// |r0| + |m0 * x|// < m0 + m0 * (u1 - 1)// = m0 + m0 * m1 / g - m0// = lcm(m0, m1)r0 += x * m0;m0 *= u1; // -> lcm(m0, m1)if (r0 < 0) r0 += m0;}return {r0, m0};}long long floor_sum(long long n, long long m, long long a, long long b) {assert(0 <= n && n < (1LL << 32));assert(1 <= m && m < (1LL << 32));unsigned long long ans = 0;if (a < 0) {unsigned long long a2 = internal::safe_mod(a, m);ans -= 1ULL * n * (n - 1) / 2 * ((a2 - a) / m);a = a2;}if (b < 0) {unsigned long long b2 = internal::safe_mod(b, m);ans -= 1ULL * n * ((b2 - b) / m);b = b2;}return ans + internal::floor_sum_unsigned(n, m, a, b);}} // namespace atcoder#line 2 "/home/nok0/documents/programming/library/template/header.hpp"#include <bits/stdc++.h>#line 3 "/home/nok0/documents/programming/library/template/def_const.hpp"const int inf = 1000000000;const long long INF = 1000000000000000000ll;#line 4 "/home/nok0/documents/programming/library/template/debug.hpp"namespace viewer {void view(const long long &e) {if(e == INF)std::cerr << "INF";else if(e == -INF)std::cerr << "-INF";elsestd::cerr << e;}void view(const int &e) {if(e == inf)std::cerr << "inf";else if(e == -inf)std::cerr << "-inf";elsestd::cerr << e;}template <typename T>void view(const T &e) {std::cerr << e;}template <typename T, typename U>void view(const std::pair<T, U> &p) {std::cerr << "(";view(p.first);std::cerr << ", ";view(p.second);std::cerr << ")";}template <class T0, class T1, class T2>void view(const std::tuple<T0, T1, T2> &p) {std::cerr << "(";view(std::get<0>(p));std::cerr << ", ";view(std::get<1>(p));std::cerr << ", ";view(std::get<2>(p));std::cerr << ")";}template <class T0, class T1, class T2, class T3>void view(const std::tuple<T0, T1, T2, T3> &p) {std::cerr << "(";view(std::get<0>(p));std::cerr << ", ";view(std::get<1>(p));std::cerr << ", ";view(std::get<2>(p));std::cerr << ", ";view(std::get<3>(p));std::cerr << ")";}template <typename T>void view(const std::set<T> &s) {if(s.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(auto &t : s) {view(t);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T>void view(const std::unordered_set<T> &s) {if(s.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(auto &t : s) {view(t);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T>void view(const std::multiset<T> &s) {if(s.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(auto &t : s) {view(t);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T>void view(const std::unordered_multiset<T> &s) {if(s.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(auto &t : s) {view(t);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T>void view(const std::vector<T> &v) {if(v.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(const auto &e : v) {view(e);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T, std::size_t ary_size>void view(const std::array<T, ary_size> &v) {if(v.empty()) {std::cerr << "{ }";return;}std::cerr << "{ ";for(const auto &e : v) {view(e);std::cerr << ", ";}std::cerr << "\b\b }";}template <typename T>void view(const std::vector<std::vector<T>> &vv) {std::cerr << "{\n";for(const auto &v : vv) {std::cerr << "\t";view(v);std::cerr << '\n';}std::cerr << "}";}template <typename T, typename U>void view(const std::vector<std::pair<T, U>> &v) {std::cerr << "{\n";for(const auto &c : v) {std::cerr << "\t(";view(c.first);std::cerr << ", ";view(c.second);std::cerr << ")\n";}std::cerr << "}";}template <class T0, class T1, class T2>void view(const std::vector<std::tuple<T0, T1, T2>> &v) {if(v.empty()) {std::cerr << "{ }";return;}std::cerr << '{';for(const auto &t : v) {std::cerr << "\n\t";view(t);std::cerr << ",";}std::cerr << "\n}";}template <class T0, class T1, class T2, class T3>void view(const std::vector<std::tuple<T0, T1, T2, T3>> &v) {if(v.empty()) {std::cerr << "{ }";return;}std::cerr << '{';for(const auto &t : v) {std::cerr << "\n\t";view(t);std::cerr << ",";}std::cerr << "\n}";}template <typename T, typename U>void view(const std::map<T, U> &m) {std::cerr << "{\n";for(const auto &t : m) {std::cerr << "\t[";view(t.first);std::cerr << "] : ";view(t.second);std::cerr << '\n';}std::cerr << "}";}template <typename T, typename U>void view(const std::unordered_map<T, U> &m) {std::cerr << "{\n";for(const auto &t : m) {std::cerr << "\t[";view(t.first);std::cerr << "] : ";view(t.second);std::cerr << '\n';}std::cerr << "}";}} // namespace viewer// when compiling : g++ foo.cpp -DLOCAL#ifdef LOCALvoid debug_out() {}template <typename Head, typename... Tail>void debug_out(Head H, Tail... T) {viewer::view(H);std::cerr << ", ";debug_out(T...);}#define debug(...) \do { \std::cerr << __LINE__ << " [" << #__VA_ARGS__ << "] : ["; \debug_out(__VA_ARGS__); \std::cerr << "\b\b]\n"; \} while(0)#define dump(x) \do { \std::cerr << __LINE__ << " " << #x << " : "; \viewer::view(x); \std::cerr << '\n'; \} while(0)#else#define debug(...) (void(0))#define dump(x) (void(0))#endif#line 3 "/home/nok0/documents/programming/library/template/def_name.hpp"#define pb push_back#define eb emplace_back#define SZ(x) ((int)(x).size())#define all(x) (x).begin(), (x).end()#define rall(x) (x).rbegin(), (x).rend()#define popcnt(x) __builtin_popcountll(x)template<class T = int>using V = std::vector<T>;template<class T = int>using VV = std::vector<std::vector<T>>;template<class T>using pqup = std::priority_queue<T, std::vector<T>, std::greater<T>>;using ll = long long;using ld = long double;using int128 = __int128_t;using pii = std::pair<int, int>;using pll = std::pair<long long, long long>;#line 3 "/home/nok0/documents/programming/library/template/fast_io.hpp"struct fast_io {fast_io() {std::ios::sync_with_stdio(false);std::cin.tie(nullptr);std::cout << std::fixed << std::setprecision(15);}} fast_io_;#line 3 "/home/nok0/documents/programming/library/template/input.hpp"template<class T, class U>std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {is >> p.first >> p.second;return is;}template<class T>std::istream &operator>>(std::istream &is, std::vector<T> &v) {for (T &i : v) is >> i;return is;}std::istream &operator>>(std::istream &is, __int128_t &a) {std::string s;is >> s;__int128_t ret = 0;for (int i = 0; i < (int)s.length(); i++)if ('0' <= s[i] and s[i] <= '9')ret = 10 * ret + s[i] - '0';a = ret * (s[0] == '-' ? -1 : 1);return is;}namespace scanner {void scan(int &a) { std::cin >> a; }void scan(long long &a) { std::cin >> a; }void scan(std::string &a) { std::cin >> a; }void scan(char &a) { std::cin >> a; }void scan(char a[]) { std::scanf("%s", a); }void scan(double &a) { std::cin >> a; }void scan(long double &a) { std::cin >> a; }template<class T, class U>void scan(std::pair<T, U> &p) { std::cin >> p; }template<class T>void scan(std::vector<T> &a) { std::cin >> a; }void INPUT() {}template<class Head, class... Tail>void INPUT(Head &head, Tail &...tail) {scan(head);INPUT(tail...);}} // namespace scanner#define VEC(type, name, size) \std::vector<type> name(size); \scanner::INPUT(name)#define VVEC(type, name, h, w) \std::vector<std::vector<type>> name(h, std::vector<type>(w)); \scanner::INPUT(name)#define INT(...) \int __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#define LL(...) \long long __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#define STR(...) \std::string __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#define CHAR(...) \char __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#define DOUBLE(...) \double __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#define LD(...) \long double __VA_ARGS__; \scanner::INPUT(__VA_ARGS__)#line 3 "/home/nok0/documents/programming/library/template/math.hpp"template <class T, class U>inline bool chmin(T &a, const U &b) { return a > b ? a = b, true : false; }template <class T, class U>inline bool chmax(T &a, const U &b) { return a < b ? a = b, true : false; }template <class T>T divup(T x, T y) { return (x + y - 1) / y; }template <class T>T POW(T a, long long n) {T ret = 1;while(n) {if(n & 1) ret *= a;a *= a;n >>= 1;}return ret;}long long POW(long long a, long long n, const int mod) {long long ret = 1;a = (a % mod + mod) % mod;while(n) {if(n & 1) (ret *= a) %= mod;(a *= a) %= mod;n >>= 1;}return ret;}template <class T, class F>T bin_search(T ok, T ng, const F &f) {while(abs(ok - ng) > 1) {T mid = (ok + ng) >> 1;(f(mid) ? ok : ng) = mid;}return ok;}template <class T, class F>T bin_search(T ok, T ng, const F &f, int loop) {for(int i = 0; i < loop; i++) {T mid = (ok + ng) / 2;(f(mid) ? ok : ng) = mid;}return ok;}#line 3 "/home/nok0/documents/programming/library/template/output.hpp"template<class T, class U>std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {os << p.first << " " << p.second;return os;}template<class T>std::ostream &operator<<(std::ostream &os, const std::vector<T> &a) {for (int i = 0; i < int(a.size()); ++i) {if (i) os << " ";os << a[i];}return os;}std::ostream &operator<<(std::ostream &dest, __int128_t &value) {std::ostream::sentry s(dest);if (s) {__uint128_t tmp = value < 0 ? -value : value;char buffer[128];char *d = std::end(buffer);do {--d;*d = "0123456789"[tmp % 10];tmp /= 10;} while (tmp != 0);if (value < 0) {--d;*d = '-';}int len = std::end(buffer) - d;if (dest.rdbuf()->sputn(d, len) != len) {dest.setstate(std::ios_base::badbit);}}return dest;}template<class T>void print(const T a) { std::cout << a << '\n'; }template<class Head, class... Tail>void print(Head H, Tail... T) {std::cout << H << ' ';print(T...);}template<class T>void printel(const T a) { std::cout << a << '\n'; }template<class T>void printel(const std::vector<T> &a) {for (const auto &v : a)std::cout << v << '\n';}template<class Head, class... Tail>void printel(Head H, Tail... T) {std::cout << H << '\n';printel(T...);}void Yes(const bool b = true) { std::cout << (b ? "Yes\n" : "No\n"); }void No() { std::cout << "No\n"; }void YES(const bool b = true) { std::cout << (b ? "YES\n" : "NO\n"); }void NO() { std::cout << "NO\n"; }#line 2 "/home/nok0/documents/programming/library/template/rep.hpp"#define foa(v, a) for (auto &v : a)#define repname(a, b, c, d, e, ...) e#define rep(...) repname(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__)#define rep0(x) for (int rep_counter = 0; rep_counter < (x); ++rep_counter)#define rep1(i, x) for (int i = 0; i < (x); ++i)#define rep2(i, l, r) for (int i = (l); i < (r); ++i)#define rep3(i, l, r, c) for (int i = (l); i < (r); i += (c))#define repsname(a, b, c, ...) c#define reps(...) repsname(__VA_ARGS__, reps1, reps0)(__VA_ARGS__)#define reps0(x) for (int reps_counter = 1; reps_counter <= (x); ++reps_counter)#define reps1(i, x) for (int i = 1; i <= (x); ++i)#define rrepname(a, b, c, ...) c#define rrep(...) rrepname(__VA_ARGS__, rrep1, rrep0)(__VA_ARGS__)#define rrep0(x) for (int rrep_counter = (x)-1; rrep_counter >= 0; --rrep_counter)#define rrep1(i, x) for (int i = (x)-1; i >= 0; --i)#line 3 "/home/nok0/documents/programming/library/template/vector.hpp"template <class T>int lb(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::lower_bound((a).begin(), (a).end(), (x))); }template <class T>int ub(const std::vector<T> &a, const T x) { return std::distance((a).begin(), std::upper_bound((a).begin(), (a).end(), (x))); }template <class T>void UNIQUE(std::vector<T> &a) {std::sort(a.begin(), a.end());a.erase(std::unique(a.begin(), a.end()), a.end());}template <class T>std::vector<T> press(std::vector<T> &a) {auto res = a;UNIQUE(res);for(auto &v : a)v = lb(res, v);return res;}#define SORTname(a, b, c, ...) c#define SORT(...) SORTname(__VA_ARGS__, SORT1, SORT0, ...)(__VA_ARGS__)#define SORT0(a) std::sort((a).begin(), (a).end())#define SORT1(a, c) std::sort((a).begin(), (a).end(), [](const auto x, const auto y) { return x c y; })template <class T>void ADD(std::vector<T> &a, const T x = 1) {for(auto &v : a) v += x;}template <class T>void SUB(std::vector<T> &a, const T x = 1) {for(auto &v : a) v -= x;}template <class T>struct cum_vector {public:cum_vector() = default;template <class U>cum_vector(const std::vector<U> &vec) : cum((int)vec.size() + 1) {for(int i = 0; i < (int)vec.size(); i++)cum[i + 1] = cum[i] + vec[i];}T prod(int l, int r) {return cum[r] - cum[l];}private:std::vector<T> cum;};std::vector<std::pair<char, int>> rle(const std::string &s) {const int n = s.size();std::vector<std::pair<char, int>> ret;for(int l = 0; l < n;) {int r = l + 1;for(; r < n and s[l] == s[r]; r++) {}ret.emplace_back(s[l], r - l);l = r;}return ret;}template <class T>std::vector<std::pair<T, int>> rle(const std::vector<T> &v) {int n = v.size();std::vector<std::pair<T, int>> ret;for(int l = 0; l < n;) {int r = l + 1;for(; r < n and v[l] == v[r]; r++) {}ret.emplace_back(v[l], r - l);l = r;}return ret;}std::vector<int> iota(int n) {std::vector<int> p(n);std::iota(p.begin(), p.end(), 0);return p;}#line 11 "/home/nok0/documents/programming/library/template/all"using namespace std;#line 3 "d.cpp"void main_();int main() {int t = 1;cin >> t;while(t--) main_();}void main_() {LL(p, q, k);ll g = gcd(p, q);p /= g, q /= g;if(p == q) {print(p * k * g);return;}if(p > q) swap(p, q);//(p-1)(q-1)以上は任意auto f = [&](ll x) {if(p == 1) {return x >= k;}ll ret = 0;if(x >= (p - 1) * (q - 1)) {ret += x - (p - 1) * (q - 1) + 1;x = (p - 1) * (q - 1) - 1;}if(x <= 0) return false;int rig = min(p - 1, x / q + 1);ret += rig - 1;ret += atcoder::floor_sum(rig, p, q, x - q * (rig - 1));// for(int i = 0; i < rig; i++) {// int r = x - i * q;// ret += r / p;// }return ret >= k;};print(bin_search(INF * 4, 0ll, f) * g);}