Submission #515996

# Submission time Handle Problem Language Result Execution time Memory
515996 2022-01-20T09:22:56 Z Be_dos Marriage questions (IZhO14_marriage) C++17
68 / 100
166 ms 1612 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++;
                for(int32_t j = 0; j < m; j++)
                    vis[j] = false;
                if(try_kuhn(rematched, 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 0 ms 204 KB Output isn't correct
2 Incorrect 0 ms 204 KB Output isn't correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 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 1 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 0 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 332 KB Output is correct
20 Correct 0 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 0 ms 204 KB Output is correct
25 Correct 4 ms 460 KB Output is correct
26 Incorrect 1 ms 332 KB Output isn't correct
27 Correct 0 ms 204 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 1 ms 368 KB Output isn't correct
31 Correct 9 ms 996 KB Output is correct
32 Incorrect 1 ms 332 KB Output isn't correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 2 ms 332 KB Output is correct
35 Correct 42 ms 1592 KB Output is correct
36 Correct 28 ms 1484 KB Output is correct
37 Correct 29 ms 1100 KB Output is correct
38 Incorrect 14 ms 1612 KB Output isn't correct
39 Correct 65 ms 628 KB Output is correct
40 Correct 6 ms 588 KB Output is correct
41 Incorrect 7 ms 716 KB Output isn't correct
42 Incorrect 5 ms 460 KB Output isn't correct
43 Incorrect 8 ms 580 KB Output isn't correct
44 Incorrect 16 ms 844 KB Output isn't correct
45 Incorrect 9 ms 716 KB Output isn't correct
46 Incorrect 20 ms 972 KB Output isn't correct
47 Incorrect 17 ms 908 KB Output isn't correct
48 Incorrect 17 ms 972 KB Output isn't correct
49 Incorrect 24 ms 1168 KB Output isn't correct
50 Correct 166 ms 716 KB Output is correct