Submission #516005

# Submission time Handle Problem Language Result Execution time Memory
516005 2022-01-20T09:46:04 Z Be_dos Marriage questions (IZhO14_marriage) C++17
66 / 100
1500 ms 1184 KB
#include <iostream>
#include <cmath>
#include <cctype>
#include <vector>
#include <algorithm>
#include <set>
#include <map>
#include <deque>
#include <stack>
#include <unordered_set>
#include <sstream>
#include <cstring>
#include <iomanip>
#include <queue>
#include <unordered_map>
#include <random>
#include <cfloat>
#include <chrono>
#include <bitset>
#include <complex>
#include <immintrin.h>
#include <cassert>

bool try_kuhn(int32_t v, bool* vis, std::vector<int32_t>* graph, int32_t* matched, int32_t left, int32_t right) {
    vis[v] = true;
    for(int32_t i = 0; i < graph[v].size(); i++)
        if(graph[v][i] >= left && graph[v][i] <= right && matched[graph[v][i]] == -1) {
            matched[graph[v][i]] = v;
            return true;
        }
    for(int32_t i = 0; i < graph[v].size(); i++)
        if(graph[v][i] >= left && graph[v][i] <= right && !vis[matched[graph[v][i]]] && try_kuhn(matched[graph[v][i]], vis, graph, matched, left, right)) {
            matched[graph[v][i]] = v;
            return true;
        }
    return false;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);

    int32_t n, m, k;
    std::cin >> n >> m >> k;

    std::vector<int32_t>* graph = new std::vector<int32_t>[m];
    for(int32_t i = 0; i < k; i++) {
        int32_t src, dst;
        std::cin >> src >> dst;
        src--;
        dst--;
        //int32_t src = rand() % n, dst = rand() % m;

        graph[dst].push_back(src);
    }

    bool* vis = new bool[m];
    int32_t* matched = new int32_t[n];

    int32_t left = m - 2, right = n + 1;
    while(right - left > 1) {
        int32_t mid = (left + right) / 2;

        int32_t matched_cnt = 0;
        for(int32_t i = 0; i < n; i++)
            matched[i] = -1;
        for(int32_t i = 0; i < m; i++) {
            for(int32_t j = 0; j < m; j++)
                vis[j] = false;
            if(try_kuhn(i, vis, graph, matched, 0, mid))
                matched_cnt++;
        }
        if(matched_cnt == m)
            right = mid;
        else
            left = mid;
    }
    if(left == n) {
        std::cout << 0;
        return 0;
    }

    int32_t matched_cnt = 0;
    for(int32_t i = 0; i < n; i++)
        matched[i] = -1;
    for(int32_t i = 0; i < m; i++) {
        for(int32_t j = 0; j < m; j++)
            vis[j] = false;
        if(try_kuhn(i, vis, graph, matched, 0, right))
            matched_cnt++;
    }

    int32_t right_ptr = right;
    int32_t ans = n - right_ptr;
    for(int32_t i = 1; i < n; i++) {
        int32_t rematched = -1;
        if(matched[i - 1] != -1) {
            matched_cnt--;
            rematched = matched[i - 1];
        }

        if(rematched != -1) {
            while(right_ptr < n - 1 && matched_cnt < m) {
                right_ptr++;

                matched_cnt = 0;
                for(int32_t p = 0; p < n; p++)
                    matched[p] = -1;
                for(int32_t p = 0; p < m; p++) {
                    for(int32_t j = 0; j < m; j++)
                        vis[j] = false;
                    if(try_kuhn(p, vis, graph, matched, i, right_ptr))
                        matched_cnt++;
                }
            }
        }
        if(matched_cnt < m)
            break;

        ans += n - right_ptr;
    }
    std::cout << ans << "\n";
    return 0;
}



Compilation message

marriage.cpp: In function 'bool try_kuhn(int32_t, bool*, std::vector<int>*, int32_t*, int32_t, int32_t)':
marriage.cpp:26:26: warning: comparison of integer expressions of different signedness: 'int32_t' {aka 'int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |     for(int32_t i = 0; i < graph[v].size(); i++)
      |                        ~~^~~~~~~~~~~~~~~~~
marriage.cpp:31:26: warning: comparison of integer expressions of different signedness: 'int32_t' {aka 'int'} and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   31 |     for(int32_t i = 0; i < graph[v].size(); i++)
      |                        ~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 204 KB Output isn't correct
2 Incorrect 0 ms 312 KB Output isn't correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 312 KB Output is correct
5 Correct 0 ms 312 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 0 ms 312 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 0 ms 204 KB Output is correct
15 Correct 0 ms 204 KB Output is correct
16 Correct 1 ms 204 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 1 ms 328 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 0 ms 312 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 5 ms 460 KB Output is correct
26 Incorrect 3 ms 332 KB Output isn't correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Incorrect 2 ms 332 KB Output isn't correct
30 Incorrect 2 ms 332 KB Output isn't correct
31 Correct 28 ms 768 KB Output is correct
32 Incorrect 5 ms 316 KB Output isn't correct
33 Correct 1 ms 312 KB Output is correct
34 Correct 4 ms 332 KB Output is correct
35 Correct 64 ms 1036 KB Output is correct
36 Correct 61 ms 1072 KB Output is correct
37 Correct 245 ms 808 KB Output is correct
38 Incorrect 59 ms 1144 KB Output isn't correct
39 Correct 467 ms 668 KB Output is correct
40 Correct 4 ms 580 KB Output is correct
41 Incorrect 149 ms 740 KB Output isn't correct
42 Incorrect 38 ms 644 KB Output isn't correct
43 Incorrect 53 ms 716 KB Output isn't correct
44 Incorrect 208 ms 988 KB Output isn't correct
45 Execution timed out 1546 ms 836 KB Time limit exceeded
46 Execution timed out 1558 ms 1100 KB Time limit exceeded
47 Incorrect 234 ms 1112 KB Output isn't correct
48 Incorrect 204 ms 1116 KB Output isn't correct
49 Execution timed out 1560 ms 1184 KB Time limit exceeded
50 Execution timed out 1586 ms 716 KB Time limit exceeded