Submission #713619

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
713619	2023-03-22T16:34:33 Z	alex_2008	Marriage questions (IZhO14_marriage)	C++14	86 / 100	488 ms	4252 KB

marriage

#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <cmath>
using namespace std;
const int N = 50050;
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 (auto it : g[v]) {
		if (it >= L && it <= R) {
			if (mt[it] == -1 || kuhn(mt[it], L, R)) {
				mt[it] = v;
				return true;
			}
		}
	}
	return false;
}
int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	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);
	}
	int l = m, r = n, ind = -1;
	while (l <= r) {
		int mid = (l + r) / 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;
			}
			if (kuhn(i, 1, mid + m)) ++cnt;
		}
		if (cnt == m) {
			ind = mid;
			r = mid - 1;
		}
		else l = mid + 1;
	}
	if (ind == -1) {
		cout << "0\n";
		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;
			}
			if (kuhn(girl, i + 1, ind + m)) break;
			ind++;
		}
		if (ind == n + 1) break;
		answ += n - ind + 1;
	}
	cout << answ << "\n";
	return 0;
}

Subtask #1

86.0 / 100.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	1492 KB	Output is correct
2	Correct	1 ms	1492 KB	Output is correct
3	Correct	1 ms	1492 KB	Output is correct
4	Correct	1 ms	1492 KB	Output is correct
5	Correct	1 ms	1492 KB	Output is correct
6	Correct	1 ms	1492 KB	Output is correct
7	Correct	1 ms	1492 KB	Output is correct
8	Correct	1 ms	1508 KB	Output is correct
9	Correct	2 ms	1492 KB	Output is correct
10	Correct	2 ms	1492 KB	Output is correct
11	Correct	1 ms	1492 KB	Output is correct
12	Correct	2 ms	1620 KB	Output is correct
13	Correct	2 ms	1492 KB	Output is correct
14	Correct	2 ms	1492 KB	Output is correct
15	Incorrect	1 ms	1496 KB	Output isn't correct
16	Correct	1 ms	1492 KB	Output is correct
17	Correct	2 ms	1492 KB	Output is correct
18	Correct	1 ms	1492 KB	Output is correct
19	Correct	3 ms	1492 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	1500 KB	Output is correct
23	Correct	2 ms	1492 KB	Output is correct
24	Correct	1 ms	1492 KB	Output is correct
25	Correct	27 ms	1748 KB	Output is correct
26	Incorrect	7 ms	1516 KB	Output isn't correct
27	Correct	1 ms	1492 KB	Output is correct
28	Correct	2 ms	1504 KB	Output is correct
29	Correct	2 ms	1644 KB	Output is correct
30	Correct	2 ms	1620 KB	Output is correct
31	Correct	141 ms	2480 KB	Output is correct
32	Incorrect	3 ms	1620 KB	Output isn't correct
33	Correct	2 ms	1492 KB	Output is correct
34	Correct	19 ms	1492 KB	Output is correct
35	Correct	95 ms	3356 KB	Output is correct
36	Correct	59 ms	3148 KB	Output is correct
37	Correct	488 ms	2668 KB	Output is correct
38	Correct	21 ms	3564 KB	Output is correct
39	Correct	294 ms	1844 KB	Output is correct
40	Correct	6 ms	1876 KB	Output is correct
41	Incorrect	8 ms	2132 KB	Output isn't correct
42	Correct	9 ms	2516 KB	Output is correct
43	Correct	13 ms	2692 KB	Output is correct
44	Correct	30 ms	3424 KB	Output is correct
45	Incorrect	14 ms	2728 KB	Output isn't correct
46	Incorrect	34 ms	3956 KB	Output isn't correct
47	Correct	24 ms	3916 KB	Output is correct
48	Correct	22 ms	3920 KB	Output is correct
49	Incorrect	37 ms	4252 KB	Output isn't correct
50	Correct	433 ms	2052 KB	Output is correct