結果

問題 No.2612 Close the Distance
ユーザー hitonanodehitonanode
提出日時 2024-01-19 22:36:58
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 810 ms / 3,000 ms
コード長 9,424 bytes
コンパイル時間 2,002 ms
コンパイル使用メモリ 192,580 KB
実行使用メモリ 16,600 KB
最終ジャッジ日時 2024-09-28 05:15:35
合計ジャッジ時間 17,170 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 557 ms
16,464 KB
testcase_07 AC 555 ms
16,476 KB
testcase_08 AC 548 ms
16,468 KB
testcase_09 AC 556 ms
16,472 KB
testcase_10 AC 556 ms
16,472 KB
testcase_11 AC 557 ms
16,468 KB
testcase_12 AC 567 ms
16,472 KB
testcase_13 AC 566 ms
16,600 KB
testcase_14 AC 552 ms
16,468 KB
testcase_15 AC 557 ms
16,468 KB
testcase_16 AC 807 ms
15,572 KB
testcase_17 AC 808 ms
15,696 KB
testcase_18 AC 807 ms
15,700 KB
testcase_19 AC 802 ms
15,700 KB
testcase_20 AC 796 ms
15,700 KB
testcase_21 AC 794 ms
15,572 KB
testcase_22 AC 804 ms
15,700 KB
testcase_23 AC 806 ms
15,576 KB
testcase_24 AC 810 ms
15,704 KB
testcase_25 AC 804 ms
15,696 KB
testcase_26 AC 2 ms
5,376 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

diff # 

#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


int main() {
    int N;
    cin >> N;
    vector<lint> X(N), Y(N), U(N), V(N);
    REP(i, N) {
        cin >> X.at(i) >> Y.at(i);
        U.at(i) = X.at(i) + Y.at(i);
        V.at(i) = X.at(i) - Y.at(i);
    }

    dbg(U);
    dbg(V);

    lint ng = -1, ok = 1LL << 32;

    constexpr lint inf = 1LL << 60;

    while (ok - ng > 1) {
        const lint mid = (ok + ng) / 2;

        auto gen_rec = [&](int S, lint ulo, lint uhi, lint vlo, lint vhi) -> tuple<lint, lint, lint, lint> {
            lint ul, ur, vl, vr;
            if (S & 1) {
                ul = ulo, ur = ulo + mid;
            } else {
                ul = uhi - mid, ur = uhi;
            }

            if (S & 2) {
                vl = vlo, vr = vlo + mid;
            } else {
                vl = vhi - mid, vr = vhi;
            }

            return {ul, ur, vl, vr};
        };

        bool found = false;

        const lint ulo = *min_element(ALL(U)), uhi = *max_element(ALL(U));
        const lint vlo = *min_element(ALL(V)), vhi = *max_element(ALL(V));

        REP(tp1, 4) {
            const auto [ul1, ur1, vl1, vr1] = gen_rec(tp1, ulo, uhi, vlo, vhi);
            vector<plint> rem_uvs;
            REP(i, N) {
                const lint u = U.at(i), v = V.at(i);
                if (ul1 <= u and u <= ur1 and vl1 <= v and v <= vr1) continue;
                rem_uvs.emplace_back(u, v);
            }

            if (rem_uvs.empty()) {
                found = true;
                break;
            }

            const lint ulo = min_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.first < b.first; })->first;
            const lint uhi = max_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.first < b.first; })->first;
            const lint vlo = min_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.second < b.second; })->second;
            const lint vhi = max_element(ALL(rem_uvs), [](const plint &a, const plint &b) { return a.second < b.second; })->second;

            REP(tp2, 4) {
                const auto [ul2, ur2, vl2, vr2] = gen_rec(tp2, ulo, uhi, vlo, vhi);

                lint badulo = inf, baduhi = -inf, badvlo = inf, badvhi = -inf;

                for (auto [u, v] : rem_uvs) {
                    if (ul1 <= u and u <= ur1 and vl1 <= v and v <= vr1) continue;
                    if (ul2 <= u and u <= ur2 and vl2 <= v and v <= vr2) continue;
                    chmin(badulo, u), chmax(baduhi, u);
                    chmin(badvlo, v), chmax(badvhi, v);
                }

                if (baduhi - badulo <= mid and badvhi - badvlo <= mid) {
                    found = true;
                }
            }
        }

        if (found) {
            ok = mid;
        } else {
            ng = mid;
        }
    }

    cout << ok << '\n';
}
0