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Submission #651080

# Submission time Handle Problem Language Result Execution time Memory
651080 2022-10-17T01:15:47 Z dooompy Love Polygon (BOI18_polygon) C++17
100 / 100
 515 ms 23256 KB 
#include <bits/stdc++.h>

using namespace std;

map<string, int> conv;
int id = 1;

struct node {
    int edge;
    set<int> redge; // loved by
};

node nodes[100005];
bool matched[100005];
bool seen[100005];

int ans = 0;
int ct = 0;

void dfs(int i) {
    if (seen[i]) return;

    seen[i] = true;
    ct++;
    dfs(nodes[i].edge);
}

int main() {
    int n; cin >> n;

    if (n % 2 == 1) {
        cout << "-1"; return 0;
    }

    for (int i = 0; i < n; i++) {
        string a, b; cin >> a >> b;

        // a loves b

        if (conv.find(a) == conv.end()) conv[a] = id++;
        if (conv.find(b) == conv.end()) conv[b] = id++;

        nodes[conv[a]].edge = conv[b];
        nodes[conv[b]].redge.insert(conv[a]);

        if (conv[a] != conv[b] && nodes[conv[b]].edge == conv[a]) {
            matched[conv[a]] = matched[conv[b]] = true;
        }
    }

    queue<int> leafs;

    for (int i = 1; i <= n; i++) {
        if (nodes[i].redge.size() == 0) leafs.push(i);
    }

    set<int> loners;

    while (!leafs.empty()) {
        auto top = leafs.front(); leafs.pop();

        if (matched[nodes[top].edge]) {
            // sad

            loners.insert(top);
        } else {
            // match them

            int to = nodes[top].edge;
            int removenode = nodes[to].edge;

            nodes[removenode].redge.erase(to);
            if (nodes[removenode].redge.size() == 0) {
                leafs.push(removenode);
            }

            ans++;

            matched[to] = matched[top] = true;
        }
    }

    vector<int> cycle;


    for (int i = 1; i <= n; i++) {
        if (matched[i]) seen[i] = true;
    }

    for (int i = 1; i <= n; i++) {
        if (seen[i] || loners.find(i) != loners.end()) continue;

        ct = 0;
        dfs(i);
        cycle.push_back(ct);
    }

    int lonersz = loners.size();
    for (auto cur : cycle) {
        if (cur == 1) lonersz++;
        else if (cur == 2) continue;
        else {
            ans += (cur / 2);
            if (cur % 2 == 1) lonersz++;
        }
    }

    ans += (lonersz);

    cout << ans;
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5716 KB Output is correct
2 Correct 3 ms 5780 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 4 ms 5716 KB Output is correct
5 Correct 3 ms 5788 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 4 ms 5716 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 4 ms 5716 KB Output is correct
10 Correct 4 ms 5844 KB Output is correct
11 Correct 4 ms 5716 KB Output is correct
12 Correct 4 ms 5716 KB Output is correct
13 Correct 3 ms 5780 KB Output is correct
14 Correct 3 ms 5716 KB Output is correct
15 Correct 3 ms 5784 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 5696 KB Output is correct
2 Correct 3 ms 5716 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 406 ms 18900 KB Output is correct
5 Correct 408 ms 18888 KB Output is correct
6 Correct 417 ms 18728 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 425 ms 18784 KB Output is correct
2 Correct 426 ms 18776 KB Output is correct
3 Correct 315 ms 19248 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 423 ms 18704 KB Output is correct
6 Correct 420 ms 18936 KB Output is correct
7 Correct 425 ms 19020 KB Output is correct
8 Correct 359 ms 18976 KB Output is correct
9 Correct 391 ms 19840 KB Output is correct
10 Correct 354 ms 23256 KB Output is correct
11 Correct 3 ms 5716 KB Output is correct
12 Correct 3 ms 5716 KB Output is correct
13 Correct 3 ms 5784 KB Output is correct
14 Correct 3 ms 5716 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 5716 KB Output is correct
2 Correct 3 ms 5780 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 4 ms 5716 KB Output is correct
5 Correct 3 ms 5788 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 4 ms 5716 KB Output is correct
8 Correct 3 ms 5716 KB Output is correct
9 Correct 4 ms 5716 KB Output is correct
10 Correct 4 ms 5844 KB Output is correct
11 Correct 4 ms 5716 KB Output is correct
12 Correct 4 ms 5716 KB Output is correct
13 Correct 3 ms 5780 KB Output is correct
14 Correct 3 ms 5716 KB Output is correct
15 Correct 3 ms 5784 KB Output is correct
16 Correct 5 ms 5696 KB Output is correct
17 Correct 3 ms 5716 KB Output is correct
18 Correct 3 ms 5716 KB Output is correct
19 Correct 406 ms 18900 KB Output is correct
20 Correct 408 ms 18888 KB Output is correct
21 Correct 417 ms 18728 KB Output is correct
22 Correct 3 ms 5716 KB Output is correct
23 Correct 425 ms 18784 KB Output is correct
24 Correct 426 ms 18776 KB Output is correct
25 Correct 315 ms 19248 KB Output is correct
26 Correct 3 ms 5716 KB Output is correct
27 Correct 423 ms 18704 KB Output is correct
28 Correct 420 ms 18936 KB Output is correct
29 Correct 425 ms 19020 KB Output is correct
30 Correct 359 ms 18976 KB Output is correct
31 Correct 391 ms 19840 KB Output is correct
32 Correct 354 ms 23256 KB Output is correct
33 Correct 3 ms 5716 KB Output is correct
34 Correct 3 ms 5716 KB Output is correct
35 Correct 3 ms 5784 KB Output is correct
36 Correct 3 ms 5716 KB Output is correct
37 Correct 413 ms 18724 KB Output is correct
38 Correct 472 ms 18888 KB Output is correct
39 Correct 409 ms 19124 KB Output is correct
40 Correct 442 ms 19012 KB Output is correct
41 Correct 437 ms 18932 KB Output is correct
42 Correct 515 ms 18812 KB Output is correct
43 Correct 460 ms 18884 KB Output is correct
44 Correct 500 ms 18788 KB Output is correct
45 Correct 470 ms 18808 KB Output is correct
46 Correct 482 ms 18828 KB Output is correct
47 Correct 494 ms 19852 KB Output is correct
48 Correct 427 ms 18788 KB Output is correct
49 Correct 405 ms 18800 KB Output is correct
50 Correct 300 ms 19248 KB Output is correct
51 Correct 3 ms 5716 KB Output is correct
52 Correct 410 ms 18648 KB Output is correct
53 Correct 418 ms 18916 KB Output is correct
54 Correct 413 ms 18892 KB Output is correct
55 Correct 377 ms 18908 KB Output is correct
56 Correct 428 ms 19892 KB Output is correct
57 Correct 370 ms 23220 KB Output is correct
58 Correct 3 ms 5716 KB Output is correct
59 Correct 3 ms 5716 KB Output is correct
60 Correct 3 ms 5716 KB Output is correct
61 Correct 3 ms 5780 KB Output is correct
62 Correct 3 ms 5716 KB Output is correct
63 Correct 3 ms 5784 KB Output is correct
64 Correct 3 ms 5716 KB Output is correct
65 Correct 402 ms 18656 KB Output is correct
66 Correct 463 ms 18916 KB Output is correct
67 Correct 389 ms 18632 KB Output is correct
68 Correct 3 ms 5716 KB Output is correct
69 Correct 5 ms 5780 KB Output is correct
70 Correct 3 ms 5716 KB Output is correct
71 Correct 3 ms 5780 KB Output is correct
72 Correct 3 ms 5792 KB Output is correct
73 Correct 3 ms 5716 KB Output is correct
74 Correct 3 ms 5784 KB Output is correct
75 Correct 3 ms 5784 KB Output is correct
76 Correct 3 ms 5780 KB Output is correct
77 Correct 3 ms 5716 KB Output is correct
78 Correct 3 ms 5716 KB Output is correct
79 Correct 3 ms 5784 KB Output is correct
80 Correct 3 ms 5716 KB Output is correct
81 Correct 3 ms 5716 KB Output is correct
82 Correct 3 ms 5784 KB Output is correct
83 Correct 3 ms 5716 KB Output is correct