oj.uz

Submission #713374

# Submission time Handle Problem Language Result Execution time Memory
713374 2023-03-21T20:05:10 Z YENGOYAN Marriage questions (IZhO14_marriage) C++17
100 / 100
 853 ms 3036 KB 
/*
                                    //\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\\
                                    \\                                    //
                                    //  271828___182845__904523__53602__  \\
                                    \\  87___47____13______52____66__24_  //
                                    //  97___75____72______47____09___36  \\
                                    \\  999595_____74______96____69___67  //
                                    //  62___77____24______07____66__30_  \\
                                    \\  35___35____47______59____45713__  //
                                    //                                    \\
                                    \\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\//
*/
#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <cmath>
#include <climits>
#include <algorithm>
#include <random>
#include <queue>
#include <deque>
#include <iomanip>
#include <string>
#include <tuple>
#include <bitset>
#include <chrono>
#include <ctime>
#include <fstream>
#include <stack>
#include <cstdio>
#include <functional>

using namespace std;
using LL = long long;
const int N = 1e3 + 5;
const LL mod = 998244353, inf = 1e18;

vector<int> dx = { 1, 0, -1, 0, 1, -1, 1, -1 };
vector<int> dy = { 0, -1, 0, 1, -1, 1, 1, -1 };

void solve() {
  int n, m, k; cin >> n >> m >> k;
  vector<vector<int>> gp(n + m);
  for (int i = 0; i < k; ++i) {
    int u, v; cin >> u >> v;
    u += m;
    gp[--u].push_back(--v);
    gp[v].push_back(u);
  }

  int ans = 0;

  vector<int> mt(n + m, -1);
  vector<bool> vis(n + m);

  function<bool(int, int, int)> kuhn = [&](int u, int l, int r) {
    if (vis[u]) return 0;
    vis[u] = 1;
    for (int& v : gp[u]) {
      if (v < l || v > r) continue;
      if (mt[v] == -1 || kuhn(mt[v], l, r)) {
        mt[v] = u;
        return 1;
      }
    }
    return 0;
  };

  int l = m - 5, r = n + 5, idx = -1;
  while (l + 1 < r) {
    int mid = (l + r) / 2;
    
    mt = vector<int>(n + m, -1);

    int cnt = 0;
    for (int i = 0; i < m; ++i) {
      vis = vector<bool>(n + m);
      cnt += kuhn(i, 0, m + mid);
    }
    if(cnt == m){
      r = mid;
      idx = mid;
    }
    else {
      l = mid;
    }
  }

  if (idx == -1) {
    cout << "0\n";
    return;
  }

  ans += n - idx;

  mt = vector<int>(n + m, -1);
  
  for (int i = 0; i < m; ++i) {
    vis = vector<bool>(n + m);
    kuhn(i, m, idx + m);
  }

  for (int i = 0; i < n; ++i) {
    if (mt[i + m] == -1) {
      ans += n - idx;
      continue;
    }

    int u = mt[i + m];
    while (idx < n) {
      vis = vector<bool>(n + m);
      if (kuhn(u, i + 1 + m, idx + m)) break;
      ++idx;
    }
    if (idx == n) break;
    ans += n - idx;
  }

  cout << ans << "\n";
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  //int t; cin >> t; while (t--)
  solve();
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 3 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 34 ms 468 KB Output is correct
26 Correct 6 ms 384 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 2 ms 408 KB Output is correct
31 Correct 253 ms 980 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 29 ms 340 KB Output is correct
35 Correct 222 ms 1460 KB Output is correct
36 Correct 143 ms 1404 KB Output is correct
37 Correct 850 ms 1192 KB Output is correct
38 Correct 19 ms 1712 KB Output is correct
39 Correct 600 ms 1080 KB Output is correct
40 Correct 9 ms 980 KB Output is correct
41 Correct 11 ms 1184 KB Output is correct
42 Correct 9 ms 1364 KB Output is correct
43 Correct 11 ms 1560 KB Output is correct
44 Correct 23 ms 2004 KB Output is correct
45 Correct 16 ms 2260 KB Output is correct
46 Correct 40 ms 2884 KB Output is correct
47 Correct 25 ms 2772 KB Output is correct
48 Correct 37 ms 2736 KB Output is correct
49 Correct 47 ms 3036 KB Output is correct
50 Correct 853 ms 1736 KB Output is correct