結果
問題 | No.3023 Utility is Max? |
ユーザー |
![]() |
提出日時 | 2025-03-02 00:16:01 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 11,899 bytes |
コンパイル時間 | 2,578 ms |
コンパイル使用メモリ | 228,128 KB |
実行使用メモリ | 8,236 KB |
最終ジャッジ日時 | 2025-03-02 00:16:07 |
合計ジャッジ時間 | 5,571 ms |
ジャッジサーバーID (参考情報) |
judge6 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | WA * 17 |
ソースコード
#include <algorithm>#include <array>#include <bitset>#include <cassert>#include <chrono>#include <cmath>#include <complex>#include <deque>#include <forward_list>#include <fstream>#include <functional>#include <iomanip>#include <ios>#include <iostream>#include <limits>#include <list>#include <map>#include <memory>#include <numeric>#include <optional>#include <queue>#include <random>#include <set>#include <sstream>#include <stack>#include <string>#include <tuple>#include <type_traits>#include <unordered_map>#include <unordered_set>#include <utility>#include <vector>using namespace std;using lint = long long;using pint = pair<int, int>;using plint = pair<lint, lint>;struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;#define ALL(x) (x).begin(), (x).end()#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)#define REP(i, n) FOR(i,0,n)#define IREP(i, n) IFOR(i,0,n)template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os <<']'; return os; }template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v<< ','; os << ']'; return os; }template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);},tpl); return is; }template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) {((os << args << ','), ...);}, tpl); return os << ')'; }template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os<< v << ','; os << '}'; return os; }template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os <<']'; return os; }template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}';return os; }template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os <<'}'; return os; }template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v <<','; os << '}'; return os; }template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for(auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }#ifdef HITONANODE_LOCALconst string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET<< std::endl#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " <<__FILE__ << COLOR_RESET << std::endl : std::cerr)#else#define dbg(x) ((void)0)#define dbgif(cond, x) ((void)0)#endif#include <cassert>#include <limits>// Rational number + {infinity(1 / 0), -infiity(-1 / 0), nan(0 / 0)} (有理数)// Verified: Yandex Cup 2022 Final E https://contest.yandex.com/contest/42710/problems/Ktemplate <class Int, bool AutoReduce = false> struct Rational {Int num, den; // den >= 0static constexpr Int my_gcd(Int a, Int b) {// return __gcd(a, b);if (a < 0) a = -a;if (b < 0) b = -b;while (a and b) {if (a > b) {a %= b;} else {b %= a;}}return a + b;}constexpr Rational(Int num = 0, Int den = 1) : num(num), den(den) { normalize(); }constexpr void normalize() noexcept {if constexpr (AutoReduce) { // reductionInt g = my_gcd(num, den);if (g) num /= g, den /= g;} else {if (den == 0) {if (num > 1) num = 1;if (num < -1) num = -1;}}if (den < 0) num = -num, den = -den; // denominator >= 0}constexpr bool is_finite() const noexcept { return den != 0; }constexpr bool is_infinite_or_nan() const noexcept { return den == 0; }constexpr Rational operator+(const Rational &r) const noexcept {if (is_infinite_or_nan() and r.is_infinite_or_nan()) return Rational(num + r.num, 0);return Rational(num * r.den + den * r.num, den * r.den);}constexpr Rational operator-(const Rational &r) const noexcept {if (is_infinite_or_nan() and r.is_infinite_or_nan()) return Rational(num - r.num, 0);return Rational(num * r.den - den * r.num, den * r.den);}constexpr Rational operator*(const Rational &r) const noexcept {return Rational(num * r.num, den * r.den);}constexpr Rational operator/(const Rational &r) const noexcept {return Rational(num * r.den, den * r.num);}constexpr Rational &operator+=(const Rational &r) noexcept { return *this = *this + r; }constexpr Rational &operator-=(const Rational &r) noexcept { return *this = *this - r; }constexpr Rational &operator*=(const Rational &r) noexcept { return *this = *this * r; }constexpr Rational &operator/=(const Rational &r) noexcept { return *this = *this / r; }constexpr Rational operator-() const noexcept { return Rational(-num, den); }constexpr Rational abs() const noexcept { return Rational(num > 0 ? num : -num, den); }constexpr Int floor() const {assert(is_finite());if (num > 0) {return num / den;} else {return -((-num + den - 1) / den);}}constexpr bool operator==(const Rational &r) const noexcept {if (is_infinite_or_nan() or r.is_infinite_or_nan()) {return num == r.num and den == r.den;} else {return num * r.den == r.num * den;}}constexpr bool operator!=(const Rational &r) const noexcept { return !(*this == r); }constexpr bool operator<(const Rational &r) const noexcept {if (is_infinite_or_nan() and r.is_infinite_or_nan())return num < r.num;else if (is_infinite_or_nan()) {return num < 0;} else if (r.is_infinite_or_nan()) {return r.num > 0;} else {return num * r.den < den * r.num;}}constexpr bool operator<=(const Rational &r) const noexcept {return (*this == r) or (*this < r);}constexpr bool operator>(const Rational &r) const noexcept { return r < *this; }constexpr bool operator>=(const Rational &r) const noexcept {return (r == *this) or (r < *this);}constexpr explicit operator double() const noexcept { return (double)num / (double)den; }constexpr explicit operator long double() const noexcept {return (long double)num / (long double)den;}template <class OStream> constexpr friend OStream &operator<<(OStream &os, const Rational &x) {return os << x.num << '/' << x.den;}};template <class Int> struct std::numeric_limits<Rational<Int, false>> {static constexpr Rational<Int, false> max() noexcept {return std::numeric_limits<Int>::max();}static constexpr Rational<Int, false> min() noexcept {return std::numeric_limits<Int>::min();}static constexpr Rational<Int, false> lowest() noexcept {return std::numeric_limits<Int>::lowest();}};bool solve() {lint I;cin >> I;vector<tuple<lint, lint, lint, lint>> abxys(2);for (auto &[a, b, x, y] : abxys) {cin >> a >> b >> x >> y;const lint rem = I - a * x - b * y;if (rem) return false;}vector<bool> flags;REP(_, 2) {swap(abxys[0], abxys[1]);const auto [a0, b0, x0, y0] = abxys[0];const auto [a1, b1, x1, y1] = abxys[1];// if (a0 * b1 == a1 * b0) return true;using rat = Rational<lint, false>;const rat yy = rat{I - a0 * x1, b0};flags.push_back(yy > y1);}if (flags.at(0) and flags.at(1)) return false;return true;}int main() {int Q;cin >> Q;while (Q--) cout << (solve() ? "Yes" : "No") << '\n';}