#1124304 (C++23) No.3293 Golden Cross

提出ソース
結果

問題	No.3293 Golden Cross
コンテスト
ユーザー	hitonanode
提出日時	2025-10-03 22:29:44
言語	C++23 (gcc 13.3.0 + boost 1.87.0)
結果	WA
実行時間	-
コード長	8,935 bytes
コンパイル時間	2,421 ms
コンパイル使用メモリ	224,460 KB
実行使用メモリ	7,720 KB
最終ジャッジ日時	2025-10-03 22:30:22
合計ジャッジ時間	34,721 ms
ジャッジサーバーID （参考情報）	judge1 / judge3
このコードへのチャレンジ
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ファイルパターン	結果
sample	AC * 2
other	AC * 24 WA * 25
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

// max (c + x + y)(r + x) s.t. 2^bx x + 2^by y <= K
lint Subsolve1(lint c, lint r, int bx, int by, int K) {
    if (bx <= by) {
        const lint x = K >> bx;
        return (c + x) * (r + x);
    }

    const int b = abs(bx - by);
    const int md = (K % (1LL << max(bx, by))) >> (min(bx, by));
    K >>= max(bx, by);

    c += md;

    // max (c + x + 2^b y)(r + x) s.t. x + y <= K
    const lint num = ((lint)K << b) + c - r * ((1LL << b) - 1);
    const lint x0 = (num / ((1LL << b) - 1)) / 2;

    auto eval = [&](lint x) -> lint {
        if (0 <= x and x <= K) {
            lint y = K - x;
            return (c + x + (y << b)) * (r + x);
        } else {
            return -1;
        }
    };

    lint ret = 0;
    for (lint x = x0 - 1; x <= x0 + 1; ++x) chmax(ret, eval(x));
    return ret;
}

// max (c + y)(r + z) s.t. 2^by y + 2^bz z <= K
lint Subsolve2(lint c, lint r, int by, int bz, int K) {
    if (by < bz) {
        swap(c, r);
        swap(by, bz);
    }

    const int md = (K % (1LL << by)) >> bz;
    r += md;

    K >>= by;
    by -= bz;

    // max (c + y)(r + 2^by z) s.t. y + z == K

    const lint y0 = ((r >> by) + (K - c)) / 2;

    auto eval = [&](lint y) -> lint {
        if (0 <= y and y <= K) {
            lint z = K - y;
            return (c + y) * (r + (z << by));
        } else {
            return -1;
        }
    };

    lint ret = 0;
    for (lint y = y0 - 1; y <= y0 + 1; ++y) chmax(ret, eval(y));
    return ret;
}

// max (c + x + y)(r + x + z) s.t. 2^bx x + 2^by y + 2^bz z <= K
lint Subsolve(lint c, lint r, int bx, int by, int bz, int K) {
    lint ret = Subsolve1(c, r, bx, by, K);
    chmax(ret, Subsolve1(r, c, bx, bz, K));
    chmax(ret, Subsolve2(c, r, by, bz, K));
    return ret;
}

int main() {
    int H, W, K;
    cin >> H >> W >> K;

    vector A(H, vector<int>(W));
    vector B(H, vector<int>(W));
    cin >> A >> B;
    dbg(K);
    dbg(A);
    dbg(B);

    lint ret = 0;

    REP(i, H) REP(j, W) {
        lint r = 0, c = 0;
        int by = 30, bz = 30;
        REP(row, H) {
            c += A.at(row).at(j);
            chmin(by, B.at(row).at(j));
        }
        REP(col, W) {
            r += A.at(i).at(col);
            chmin(bz, B.at(i).at(col));
        }

        chmax(ret, Subsolve(c, r, B.at(i).at(j), by, bz, K));
    }

    cout << ret << '\n';

}
yukicoder

結果

ソースコード
