Submission #713365

# Submission time Handle Problem Language Result Execution time Memory
713365 2023-03-21T20:01:40 Z YENGOYAN Marriage questions (IZhO14_marriage) C++17
100 / 100
801 ms 4028 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 - 1, r = n - 1, idx = -1;
  while (l <= 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 - 1;
      idx = mid;
    }
    else {
      l = mid + 1;
    }
  }

  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();
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 284 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 1 ms 320 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 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 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 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 328 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 35 ms 600 KB Output is correct
26 Correct 4 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 2 ms 320 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 2 ms 456 KB Output is correct
31 Correct 229 ms 1352 KB Output is correct
32 Correct 2 ms 468 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 29 ms 440 KB Output is correct
35 Correct 195 ms 2232 KB Output is correct
36 Correct 145 ms 2060 KB Output is correct
37 Correct 754 ms 1612 KB Output is correct
38 Correct 18 ms 2504 KB Output is correct
39 Correct 603 ms 1240 KB Output is correct
40 Correct 7 ms 1108 KB Output is correct
41 Correct 9 ms 1364 KB Output is correct
42 Correct 10 ms 1728 KB Output is correct
43 Correct 13 ms 2004 KB Output is correct
44 Correct 25 ms 2860 KB Output is correct
45 Correct 20 ms 2508 KB Output is correct
46 Correct 44 ms 3776 KB Output is correct
47 Correct 27 ms 3824 KB Output is correct
48 Correct 25 ms 3668 KB Output is correct
49 Correct 48 ms 4028 KB Output is correct
50 Correct 801 ms 1952 KB Output is correct