Submission #711313

# Submission time Handle Problem Language Result Execution time Memory
711313 2023-03-16T14:54:33 Z LeMur Marriage questions (IZhO14_marriage) C++14
86 / 100
423 ms 4308 KB
///////////////////////////////    _LeMur_
#define _CRT_SECURE_NO_WARNINGS
#include <unordered_map>
#include <unordered_set>
#include <algorithm>
#include <iostream>
#include <cstring>
#include <cassert>
#include <chrono>
#include <random>
#include <bitset>
#include <cstdio>
#include <vector>
#include <string>
#include <stack>
#include <tuple>
#include <queue>
#include <ctime>
#include <cmath>
#include <list>
#include <map>
#include <set>

using namespace std;

const int N = 50005;
const int inf = 1000 * 1000 * 1000;
const int mod = 998244353;
// mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
mt19937 myrand(1337);

int n, m, k;
vector <int> g[N];

bool used[N];
int mt[N];

bool kuhn(int v, int L, int R) {
  if (used[v]) return false;
  used[v] = true;
  for (int i = 0; i < (int)g[v].size(); i++) {
    int to = g[v][i];
    if (to < L) continue;
    if (to > R) break;
    if (mt[to] == -1 || kuhn(mt[to], L, R)) {
      mt[to] = v;
      return true;
    }
  }
  return false;
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);

  cin >> n >> m >> k;

  for (int i = 1; i <= k; i++) {
    int a, b;
    cin >> a >> b;
    a += m;
    g[a].push_back(b);
    g[b].push_back(a);
  }

  for (int i = 1; i <= m; i++) {
    sort(g[i].begin(), g[i].end());
  }

  int ina = m, inb = n, ind = -1;
  while (ina <= inb) {
    int mid = (ina + inb) / 2;

    for (int i = 1; i <= mid; i++) {
      mt[i + m] = -1;
    }

    int cnt = 0;
    for (int i = 1; i <= m; i++) {
      for (int j = 1; j <= m; j++) {
        used[j] = false;
      }
      bool flag = kuhn(i, 1, mid + m);
      if (flag) ++cnt;
    }

    if (cnt == m) {
      ind = mid;
      inb = mid - 1;
    } else {
      ina = mid + 1;
    }
  }

  if (ind == -1) {
    cout << 0 << endl;
    return 0;
  }

  for (int i = 1; i <= n; i++) {
    mt[i + m] = -1;
  }

  for (int i = 1; i <= m; i++) {
    for (int j = 1; j <= m; j++) {
      used[j] = false;
    }
    kuhn(i, 1, ind + m);
  }

  int answ = n - ind + 1;

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

    int girl = mt[i + m];
    while (ind <= n) {
      for (int j = 1; j <= m; j++) {
        used[j] = false;
      }
      bool flag = kuhn(girl, i + 1, ind + m);
      if (flag) break;
      ++ind;
    }
    
    if (ind == n + 1) break;
    answ += n - ind + 1;
  }
  
  cout << answ << endl;
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1492 KB Output is correct
2 Correct 1 ms 1508 KB Output is correct
3 Correct 1 ms 1512 KB Output is correct
4 Correct 1 ms 1492 KB Output is correct
5 Correct 2 ms 1492 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 1 ms 1492 KB Output is correct
8 Correct 2 ms 1492 KB Output is correct
9 Correct 1 ms 1492 KB Output is correct
10 Correct 1 ms 1492 KB Output is correct
11 Correct 1 ms 1492 KB Output is correct
12 Correct 1 ms 1492 KB Output is correct
13 Correct 1 ms 1492 KB Output is correct
14 Correct 1 ms 1492 KB Output is correct
15 Correct 2 ms 1492 KB Output is correct
16 Correct 2 ms 1492 KB Output is correct
17 Correct 1 ms 1492 KB Output is correct
18 Correct 2 ms 1552 KB Output is correct
19 Correct 2 ms 1520 KB Output is correct
20 Correct 2 ms 1492 KB Output is correct
21 Correct 2 ms 1492 KB Output is correct
22 Correct 2 ms 1512 KB Output is correct
23 Correct 1 ms 1492 KB Output is correct
24 Correct 1 ms 1492 KB Output is correct
25 Incorrect 13 ms 1748 KB Output isn't correct
26 Incorrect 4 ms 1552 KB Output isn't correct
27 Correct 1 ms 1492 KB Output is correct
28 Correct 2 ms 1492 KB Output is correct
29 Correct 4 ms 1648 KB Output is correct
30 Correct 4 ms 1580 KB Output is correct
31 Correct 130 ms 2488 KB Output is correct
32 Incorrect 7 ms 1652 KB Output isn't correct
33 Correct 1 ms 1492 KB Output is correct
34 Correct 16 ms 1492 KB Output is correct
35 Correct 84 ms 3356 KB Output is correct
36 Correct 53 ms 3148 KB Output is correct
37 Correct 368 ms 2664 KB Output is correct
38 Correct 18 ms 3576 KB Output is correct
39 Correct 311 ms 1856 KB Output is correct
40 Correct 7 ms 1876 KB Output is correct
41 Incorrect 23 ms 2204 KB Output isn't correct
42 Correct 8 ms 2424 KB Output is correct
43 Correct 16 ms 2700 KB Output is correct
44 Correct 22 ms 3420 KB Output is correct
45 Incorrect 16 ms 2720 KB Output isn't correct
46 Incorrect 157 ms 4104 KB Output isn't correct
47 Correct 25 ms 3936 KB Output is correct
48 Correct 26 ms 3916 KB Output is correct
49 Incorrect 196 ms 4308 KB Output isn't correct
50 Correct 423 ms 1872 KB Output is correct