#988550 (C++23) No.2786 RMQ on Grid Path

提出ソース

結果

問題	No.2786 RMQ on Grid Path
ユーザー	hitonanode
提出日時	2024-06-14 21:45:50
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,653 ms / 6,000 ms
コード長	9,194 bytes
コンパイル時間	2,937 ms
コンパイル使用メモリ	208,516 KB
実行使用メモリ	19,912 KB
最終ジャッジ日時	2024-06-14 21:46:27
合計ジャッジ時間	31,605 ms
ジャッジサーバーID （参考情報）	judge3 / judge4

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 6,820 KB
testcase_01	AC	1 ms 6,940 KB
testcase_02	AC	3 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	3 ms 6,940 KB
testcase_05	AC	3 ms 6,944 KB
testcase_06	AC	3 ms 6,944 KB
testcase_07	AC	3 ms 6,944 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	3 ms 6,944 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	1,636 ms 19,732 KB
testcase_13	AC	1,583 ms 19,652 KB
testcase_14	AC	1,631 ms 19,780 KB
testcase_15	AC	1,586 ms 19,788 KB
testcase_16	AC	1,571 ms 19,736 KB
testcase_17	AC	1,567 ms 19,908 KB
testcase_18	AC	1,653 ms 19,596 KB
testcase_19	AC	1,578 ms 19,784 KB
testcase_20	AC	1,616 ms 19,788 KB
testcase_21	AC	1,595 ms 19,652 KB
testcase_22	AC	1,510 ms 19,780 KB
testcase_23	AC	1,416 ms 19,780 KB
testcase_24	AC	335 ms 19,908 KB
testcase_25	AC	345 ms 19,784 KB
testcase_26	AC	347 ms 19,728 KB
testcase_27	AC	473 ms 11,080 KB
testcase_28	AC	449 ms 11,380 KB
testcase_29	AC	1,367 ms 17,752 KB
testcase_30	AC	405 ms 10,944 KB
testcase_31	AC	58 ms 5,376 KB
testcase_32	AC	132 ms 16,072 KB
testcase_33	AC	137 ms 11,680 KB
testcase_34	AC	970 ms 19,656 KB
testcase_35	AC	975 ms 19,780 KB
testcase_36	AC	999 ms 19,912 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

#include <algorithm>
#include <numeric>
#include <utility>
#include <vector>

// UnionFind Tree (0-indexed), based on size of each disjoint set
struct UnionFind {
    std::vector<int> par, cou;
    UnionFind(int N = 0) : par(N), cou(N, 1) { iota(par.begin(), par.end(), 0); }
    int find(int x) { return (par[x] == x) ? x : (par[x] = find(par[x])); }
    bool unite(int x, int y) {
        x = find(x), y = find(y);
        if (x == y) return false;
        if (cou[x] < cou[y]) std::swap(x, y);
        par[y] = x, cou[x] += cou[y];
        return true;
    }
    int count(int x) { return cou[find(x)]; }
    bool same(int x, int y) { return find(x) == find(y); }
    std::vector<std::vector<int>> groups() {
        std::vector<std::vector<int>> ret(par.size());
        for (int i = 0; i < int(par.size()); ++i) ret[find(i)].push_back(i);
        ret.erase(std::remove_if(ret.begin(), ret.end(),
                                 [&](const std::vector<int> &v) { return v.empty(); }),
                  ret.end());
        return ret;
    }
};


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

    auto f = [&](int x, int y) { return x * W + y; };

    vector<int> A(H * W);
    cin >> A;

    const auto zs = sort_unique(A);

    int Q;
    cin >> Q;
    vector<pint> qs;

    REP(q, Q) {
        int rs, cs, rt, ct;
        cin >> rs >> cs >> rt >> ct;
        --rs, --cs, --rt, --ct;
        qs.emplace_back(f(rs, cs), f(rt, ct));
    }

    vector<int> lo(Q, -1), hi(Q, zs.size() - 1); 

    REP(_, floor_lg(zs.size()) + 1) {
        vector<tuple<int, int, int>> ops;
        REP(q, Q) {
            int c = (lo.at(q) + hi.at(q)) / 2;
            ops.emplace_back(zs.at(c), c, q);
        }
        REP(xy, H * W) {
            ops.emplace_back(A.at(xy), -1, xy);
        }

        sort(ALL(ops));

        UnionFind uf(H * W);

        for (auto [_, tp, idx] : ops) {
            if (tp == -1) {
                const int x = idx / W, y = idx % W;
                for (auto [dx, dy] : grid_dxs) {
                    int nx = x + dx, ny = y + dy;
                    if (nx < 0 or nx >= H or ny < 0 or ny >= W) continue;
                    if (A.at(f(nx, ny)) <= A.at(f(x, y))) {
                        uf.unite(f(nx, ny), f(x, y));
                    }
                }
            } else if (tp >= 0) {
                auto [s, t] = qs.at(idx);
                if (uf.same(s, t)) {
                    hi.at(idx) = tp;
                } else {
                    lo.at(idx) = tp;
                }
            }
        }
    }

    REP(q, Q) cout << zs.at(hi.at(q)) << '\n';
}

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結果

テストケース

ソースコード