oj.uz

Submission #713377

# Submission time Handle Problem Language Result Execution time Memory
713377 2023-03-21T20:06:17 Z YENGOYAN Marriage questions (IZhO14_marriage) C++17
100 / 100
 866 ms 3032 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 - 2, r = n, 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 0 ms 212 KB Output is correct
2 Correct 0 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 0 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 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 2 ms 340 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 1 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 35 ms 516 KB Output is correct
26 Correct 5 ms 384 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 340 KB Output is correct
29 Correct 2 ms 340 KB Output is correct
30 Correct 2 ms 340 KB Output is correct
31 Correct 229 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 27 ms 456 KB Output is correct
35 Correct 192 ms 1476 KB Output is correct
36 Correct 151 ms 1432 KB Output is correct
37 Correct 754 ms 1192 KB Output is correct
38 Correct 24 ms 1748 KB Output is correct
39 Correct 587 ms 1016 KB Output is correct
40 Correct 6 ms 980 KB Output is correct
41 Correct 12 ms 1224 KB Output is correct
42 Correct 8 ms 1364 KB Output is correct
43 Correct 12 ms 1580 KB Output is correct
44 Correct 22 ms 2072 KB Output is correct
45 Correct 17 ms 2260 KB Output is correct
46 Correct 40 ms 2976 KB Output is correct
47 Correct 26 ms 2772 KB Output is correct
48 Correct 26 ms 2776 KB Output is correct
49 Correct 55 ms 3032 KB Output is correct
50 Correct 866 ms 1784 KB Output is correct