結果

問題 No.2436 Min Diff Distance
ユーザー hitonanodehitonanode
提出日時 2023-08-18 21:41:00
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 442 ms / 2,000 ms
コード長 10,158 bytes
コンパイル時間 5,580 ms
コンパイル使用メモリ 208,920 KB
実行使用メモリ 24,184 KB
最終ジャッジ日時 2024-11-28 06:13:47
合計ジャッジ時間 8,835 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
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
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 416 ms
21,092 KB
testcase_04 AC 417 ms
20,992 KB
testcase_05 AC 430 ms
21,088 KB
testcase_06 AC 442 ms
21,220 KB
testcase_07 AC 439 ms
21,088 KB
testcase_08 AC 409 ms
21,092 KB
testcase_09 AC 2 ms
5,248 KB
testcase_10 AC 1 ms
5,248 KB
testcase_11 AC 261 ms
24,064 KB
testcase_12 AC 266 ms
24,184 KB
testcase_13 AC 277 ms
19,360 KB
testcase_14 AC 44 ms
5,512 KB
testcase_15 AC 397 ms
20,924 KB
testcase_16 AC 181 ms
12,220 KB
testcase_17 AC 348 ms
20,408 KB
testcase_18 AC 323 ms
19,860 KB
testcase_19 AC 362 ms
20,384 KB
testcase_20 AC 242 ms
12,848 KB
testcase_21 AC 106 ms
7,932 KB
testcase_22 AC 44 ms
5,528 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

#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;
    }
};


#include <algorithm>
#include <map>
#include <numeric>
#include <tuple>
#include <vector>

// Manhattan MST: 二次元平面上の頂点たちのマンハッタン距離による minimum spanning tree の O(N) 本の候補辺を列挙
// Complexity: O(N log N)
// output: [(weight_uv, u, v), ...]
// Verified: https://judge.yosupo.jp/problem/manhattanmst, https://www.codechef.com/problems/HKRMAN
// Reference:
// [1] H. Zhou, N. Shenoy, W. Nicholls,
//     "Efficient minimum spanning tree construction without Delaunay triangulation,"
//     Information Processing Letters, 81(5), 271-276, 2002.
template <typename T>
std::vector<std::tuple<T, int, int>> manhattan_mst(std::vector<T> xs, std::vector<T> ys) {
    const int n = xs.size();
    std::vector<int> idx(n);
    std::iota(idx.begin(), idx.end(), 0);
    std::vector<std::tuple<T, int, int>> ret;
    for (int s = 0; s < 2; s++) {
        for (int t = 0; t < 2; t++) {
            auto cmp = [&](int i, int j) { return xs[i] + ys[i] < xs[j] + ys[j]; };
            std::sort(idx.begin(), idx.end(), cmp);
            std::map<T, int> sweep;
            for (int i : idx) {
                for (auto it = sweep.lower_bound(-ys[i]); it != sweep.end(); it = sweep.erase(it)) {
                    int j = it->second;
                    if (xs[i] - xs[j] < ys[i] - ys[j]) break;
                    ret.emplace_back(std::abs(xs[i] - xs[j]) + std::abs(ys[i] - ys[j]), i, j);
                }
                sweep[-ys[i]] = i;
            }
            std::swap(xs, ys);
        }
        for (auto &x : xs) x = -x;
    }
    std::sort(ret.begin(), ret.end());
    return ret;
}

int main() {
    int N;
    cin >> N;
    vector<int> xs(N), ys(N);
    REP(i, N) cin >> xs.at(i) >> ys.at(i);

    constexpr int inf = 1e7;

    int maxu = -inf, minu = inf, maxv = -inf, minv = inf;
    REP(i, N) {
        int x = xs.at(i), y = ys.at(i);
        int u = x + y, v = x - y;
        chmax(maxu, u);
        chmin(minu, u);
        chmax(maxv, v);
        chmin(minv, v);
    }

    vector<int> lo(N, 1 << 30), hi(N);
    REP(i, N) {
        const int x = xs.at(i), y = ys.at(i);
        const int u = x + y, v = x - y;
        chmax(hi.at(i), max({abs(maxu - u), abs(minu - u), abs(maxv - v), abs(minv - v)}));
    }

    for (auto [w, i, j] : manhattan_mst<int>(xs, ys)) {
        chmin(lo.at(i), w);
        chmin(lo.at(j), w);
    }
    dbg(hi);
    dbg(lo);
    int ret = inf;
    REP(i, N) chmin(ret, hi.at(i) - lo.at(i));
    cout << ret << '\n';
}
0