結果

問題 No.2436 Min Diff Distance
ユーザー ForestedForested
提出日時 2023-08-19 00:00:27
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 374 ms / 2,000 ms
コード長 5,179 bytes
コンパイル時間 1,892 ms
コンパイル使用メモリ 144,344 KB
実行使用メモリ 24,704 KB
最終ジャッジ日時 2024-11-28 11:54:28
合計ジャッジ時間 7,875 ms
ジャッジサーバーID
（参考情報） 		judge2 / 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
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 373 ms
23,620 KB
testcase_04 AC 372 ms
23,752 KB
testcase_05 AC 372 ms
23,744 KB
testcase_06 AC 369 ms
23,744 KB
testcase_07 AC 374 ms
23,620 KB
testcase_08 AC 371 ms
23,616 KB
testcase_09 AC 2 ms
5,248 KB
testcase_10 AC 2 ms
5,248 KB
testcase_11 AC 232 ms
24,704 KB
testcase_12 AC 238 ms
24,664 KB
testcase_13 AC 242 ms
22,508 KB
testcase_14 AC 38 ms
5,820 KB
testcase_15 AC 355 ms
23,628 KB
testcase_16 AC 160 ms
13,388 KB
testcase_17 AC 310 ms
23,164 KB
testcase_18 AC 279 ms
22,864 KB
testcase_19 AC 319 ms
23,268 KB
testcase_20 AC 212 ms
14,056 KB
testcase_21 AC 91 ms
8,512 KB
testcase_22 AC 39 ms
5,964 KB
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ソースコード

diff # 

#ifndef LOCAL
#define FAST_IO
#endif

// ============
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>

#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)

using namespace std;

using u32 = unsigned int;
using u64 = unsigned long long;
using i32 = signed int;
using i64 = signed long long;
using f64 = double;
using f80 = long double;

template <typename T>
using Vec = vector<T>;

template <typename T>
bool chmin(T &x, const T &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}

#ifdef INT128

using u128 = __uint128_t;
using i128 = __int128_t;

istream &operator>>(istream &is, i128 &x) {
    i64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, i128 x) {
    os << (i64)x;
    return os;
}
istream &operator>>(istream &is, u128 &x) {
    u64 v;
    is >> v;
    x = v;
    return is;
}
ostream &operator<<(ostream &os, u128 x) {
    os << (u64)x;
    return os;
}

#endif

[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
    SetUpIO() {
#ifdef FAST_IO
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
#endif
        cout << fixed << setprecision(15);
    }
} set_up_io;
// ============

#ifdef DEBUGF
#else
#define DBG(x) (void)0
#endif

#line 2 "graph/mst/manhattan-mst.hpp"

#line 2 "graph/graph-template.hpp"

// https://ei1333.github.io/library/graph/mst/manhattan-mst.hpp
/**
 * @brief Graph Template(グラフテンプレート)
 */
template< typename T = int >
struct Edge {
  int from, to;
  T cost;
  int idx;

  Edge() = default;

  Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {}

  operator int() const { return to; }
};

template< typename T = int >
struct Graph {
  vector< vector< Edge< T > > > g;
  int es;

  Graph() = default;

  explicit Graph(int n) : g(n), es(0) {}

  size_t size() const {
    return g.size();
  }

  void add_directed_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es++);
  }

  void add_edge(int from, int to, T cost = 1) {
    g[from].emplace_back(from, to, cost, es);
    g[to].emplace_back(to, from, cost, es++);
  }

  void read(int M, int padding = -1, bool weighted = false, bool directed = false) {
    for(int i = 0; i < M; i++) {
      int a, b;
      cin >> a >> b;
      a += padding;
      b += padding;
      T c = T(1);
      if(weighted) cin >> c;
      if(directed) add_directed_edge(a, b, c);
      else add_edge(a, b, c);
    }
  }

  inline vector< Edge< T > > &operator[](const int &k) {
    return g[k];
  }

  inline const vector< Edge< T > > &operator[](const int &k) const {
    return g[k];
  }
};

template< typename T = int >
using Edges = vector< Edge< T > >;
#line 4 "graph/mst/manhattan-mst.hpp"

/**
 * @brief Manhattan MST
 */
template< typename T >
Edges< T > manhattan_mst(vector< T > xs, vector< T > ys) {
  assert(xs.size() == ys.size());
  Edges< T > ret;
  int n = (int) xs.size();

  vector< int > ord(n);
  iota(ord.begin(), ord.end(), 0);

  for(int s = 0; s < 2; s++) {
    for(int t = 0; t < 2; t++) {
      auto cmp = [&](int i, int j) -> bool {
        return xs[i] + ys[i] < xs[j] + ys[j];
      };
      sort(ord.begin(), ord.end(), cmp);

      map< T, int > idx;
      for(int i:ord) {
        for(auto it = idx.lower_bound(-ys[i]);
            it != idx.end(); it = idx.erase(it)) {
          int j = it->second;
          if(xs[i] - xs[j] < ys[i] - ys[j]) break;
          ret.emplace_back(i, j, abs(xs[i] - xs[j]) + abs(ys[i] - ys[j]));
        }
        idx[-ys[i]] = i;
      }
      swap(xs, ys);
    }
    for(int i = 0; i < n; i++) xs[i] *= -1;
  }
  return ret;
}

int main() {
    i32 n;
    cin >> n;
    Vec<i32> x(n), y(n);
    REP(i, n) {
        cin >> x[i] >> y[i];
    }
    auto es = manhattan_mst(x, y);
    REP(i, n) {
        i32 a = x[i], b = y[i];
        x[i] = a + b;
        y[i] = a - b;
    }
    i32 xmn = INF, xmx = -INF, ymn = INF, ymx = -INF;
    REP(i, n) {
        chmin(xmn, x[i]);
        chmax(xmx, x[i]);
        chmin(ymn, y[i]);
        chmax(ymx, y[i]);
    }
    Vec<i32> mx(n, 0);
    REP(i, n) {
        mx[i] = max({x[i] - xmn, xmx - x[i], y[i] - ymn, ymx - y[i]});
    }
    Vec<i32> mn(n, INF);
    for (auto e : es) {
        chmin(mn[e.from], e.cost);
        chmin(mn[e.to], e.cost);
    }
    i32 ans = INF;
    REP(i, n) {
        chmin(ans, mx[i] - mn[i]);
    }
    cout << ans << '\n';
}
0