#969118 (C++23) No.2686 商品券の使い道

提出ソース

結果

問題	No.2686 商品券の使い道
ユーザー	👑 hitonanode
提出日時	2024-04-04 22:37:33
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	102 ms / 3,000 ms
コード長	9,521 bytes
コンパイル時間	2,346 ms
コンパイル使用メモリ	192,080 KB
実行使用メモリ	27,808 KB
最終ジャッジ日時	2024-04-04 22:37:40
合計ジャッジ時間	6,444 ms
ジャッジサーバーID （参考情報）	judge15 / judge14

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 6,676 KB
testcase_01	AC	2 ms 6,676 KB
testcase_02	AC	14 ms 9,344 KB
testcase_03	AC	14 ms 9,344 KB
testcase_04	AC	13 ms 9,344 KB
testcase_05	AC	14 ms 9,344 KB
testcase_06	AC	13 ms 9,344 KB
testcase_07	AC	14 ms 9,344 KB
testcase_08	AC	13 ms 9,344 KB
testcase_09	AC	13 ms 9,344 KB
testcase_10	AC	13 ms 9,344 KB
testcase_11	AC	16 ms 9,344 KB
testcase_12	AC	15 ms 9,344 KB
testcase_13	AC	20 ms 9,344 KB
testcase_14	AC	15 ms 9,344 KB
testcase_15	AC	13 ms 9,344 KB
testcase_16	AC	17 ms 9,344 KB
testcase_17	AC	15 ms 9,344 KB
testcase_18	AC	17 ms 9,344 KB
testcase_19	AC	17 ms 9,344 KB
testcase_20	AC	18 ms 9,344 KB
testcase_21	AC	18 ms 9,344 KB
testcase_22	AC	14 ms 9,344 KB
testcase_23	AC	14 ms 9,344 KB
testcase_24	AC	14 ms 9,344 KB
testcase_25	AC	14 ms 9,344 KB
testcase_26	AC	16 ms 9,344 KB
testcase_27	AC	18 ms 9,344 KB
testcase_28	AC	18 ms 9,344 KB
testcase_29	AC	48 ms 27,808 KB
testcase_30	AC	80 ms 27,808 KB
testcase_31	AC	63 ms 27,808 KB
testcase_32	AC	70 ms 27,808 KB
testcase_33	AC	69 ms 27,808 KB
testcase_34	AC	64 ms 27,808 KB
testcase_35	AC	66 ms 27,808 KB
testcase_36	AC	69 ms 27,808 KB
testcase_37	AC	66 ms 27,808 KB
testcase_38	AC	102 ms 27,808 KB
testcase_39	AC	72 ms 27,808 KB
testcase_40	AC	55 ms 27,808 KB
testcase_41	AC	65 ms 27,808 KB
testcase_42	AC	55 ms 27,808 KB
testcase_43	AC	67 ms 27,808 KB
testcase_44	AC	65 ms 27,808 KB
testcase_45	AC	67 ms 27,808 KB
testcase_46	AC	67 ms 27,808 KB
evil_random20_1.txt	AC	48 ms 27,808 KB
evil_random20_2.txt	AC	48 ms 27,808 KB
evil_random20_3.txt	AC	48 ms 27,808 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#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_LOCAL
const 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

// Fast Walsh-Hadamard transform and its abstraction
// Tutorials: <https://codeforces.com/blog/entry/71899>
//            <https://csacademy.com/blog/fast-fourier-transform-and-variations-of-it>
template <typename T, typename F> void abstract_fwht(std::vector<T> &seq, F f) {
    const int n = seq.size();
    assert(__builtin_popcount(n) == 1);
    for (int w = 1; w < n; w *= 2) {
        for (int i = 0; i < n; i += w * 2) {
            for (int j = 0; j < w; j++) { f(seq[i + j], seq[i + j + w]); }
        }
    }
}

template <typename T, typename F1, typename F2>
std::vector<T> bitwise_conv(std::vector<T> x, std::vector<T> y, F1 f, F2 finv) {
    const int n = x.size();
    assert(__builtin_popcount(n) == 1);
    assert(x.size() == y.size());
    if (x == y) {
        abstract_fwht(x, f), y = x;
    } else {
        abstract_fwht(x, f), abstract_fwht(y, f);
    }
    for (size_t i = 0; i < x.size(); i++) { x[i] *= y[i]; }
    abstract_fwht(x, finv);
    return x;
}

// bitwise xor convolution (FWHT-based)
// ret[i] = \sum_j x[j] * y[i ^ j]
// if T is integer, ||x||_1 * ||y||_1 * 2 < numeric_limits<T>::max()
template <typename T> std::vector<T> xorconv(std::vector<T> x, std::vector<T> y) {
    auto f = [](T &lo, T &hi) {
        T c = lo + hi;
        hi = lo - hi, lo = c;
    };
    auto finv = [](T &lo, T &hi) {
        T c = lo + hi;
        hi = (lo - hi) / 2,
        lo = c / 2; // Reconsider HEAVY complexity of division by 2 when T is ModInt
    };
    return bitwise_conv(x, y, f, finv);
}

// bitwise AND conolution
// ret[i] = \sum_{(j & k) == i} x[j] * y[k]
template <typename T> std::vector<T> andconv(std::vector<T> x, std::vector<T> y) {
    return bitwise_conv(
        x, y, [](T &lo, T &hi) { lo += hi; }, [](T &lo, T &hi) { lo -= hi; });
}

// bitwise OR convolution
// ret[i] = \sum_{(j | k) == i} x[j] * y[k]
template <typename T> std::vector<T> orconv(std::vector<T> x, std::vector<T> y) {
    return bitwise_conv(
        x, y, [](T &lo, T &hi) { hi += lo; }, [](T &lo, T &hi) { hi -= lo; });
}



int main() {
    int N, M, Q;
    cin >> N >> M >> Q;

    if (M > Q) swap(M, Q);

    vector<int> A(N), B(N);
    REP(i, N) cin >> A.at(i) >> B.at(i);

    dbg(make_tuple(M, Q, A, B));

    vector<int> u(1 << N), v(1 << N);

    auto rec = [&](auto &&self, int i, int S, int sum) -> void {
        if (sum > Q) return;
        if (sum <= M) u.at(S) = 1;
        if (sum <= Q) v.at(S) = 1;

        if (i == N) return;

        self(self, i + 1, S, sum);
        self(self, i + 1, S | (1 << i), sum + A.at(i));
    };
    rec(rec, 0, 0, 0);

    u = orconv(u, v);

    long long ret = 0;

    auto rec2 = [&](auto &&self, int i, int S, long long sum) -> void {
        if (u.at(S)) chmax(ret, sum);
        if (i == N) return;
        self(self, i + 1, S, sum);
        self(self, i + 1, S | (1 << i), sum + B.at(i));
    };
    rec2(rec2, 0, 0, 0);

    cout << ret << '\n';
}

yukicoder

結果

テストケース

ソースコード