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Submission #830623

# Submission time Handle Problem Language Result Execution time Memory
830623 2023-08-19T08:43:09 Z Johann Love Polygon (BOI18_polygon) C++14
100 / 100
 155 ms 11504 KB 
#include <bits/stdc++.h>
using namespace std;

#define vb vector<bool>
#define vi vector<int>
#define vvi vector<vi>

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

    int n;
    cin >> n;
    // ungerade fertig
    if (n % 2 == 1) { cout << -1; return 0; }

    map<string, int> namen;
    vi beziehungen(n);
    vi degree(n);      // Grad des Knoten δ+ und δ-
    string sa, sb;
    int a, b;
    int idx = 0;
    for (int j = 0; j < n; j++){
        cin >> sa >> sb;
        if (namen.count(sa) == 0) { namen[sa] = idx; idx++; }
        if (namen.count(sb) == 0) { namen[sb] = idx; idx++; }
        a = namen[sa]; b = namen[sb];
        beziehungen[a] = b;
        degree[b]++;
    }
    // for (map<string, int>::iterator it = namen.begin(); it != namen.end(); ++it) {  cout << it->first << " = " << it->second << endl;  }
    // for (int i = 0; i < n; i++){  cout << i << " --> " << beziehungen[i] << " (" << degree[i] << endl;  }

    // Aussortieren, wer in einer Beziehung ist
    // Knoten mit geringsten Grad finden
    // -> Grad = 1: Erstell Beziehung mit Nachbarn

    int new_edges = 0;
    queue<int> q;
    vb inRelation(n, false);
    for (int i = 0; i < n; ++i) {
        if (beziehungen[i] != i && i == beziehungen[beziehungen[i]]) inRelation[i] = true;
        if (degree[i] == 0) q.push(i);
    }
    while (!q.empty()) {
        int s = q.front(); q.pop();
        if (inRelation[s]) continue;
        int t = beziehungen[s];
        if (inRelation[t]) {
            --degree[t];
            ++degree[s];
            inRelation[s] = true;
            ++new_edges;
        } else {
            int u = beziehungen[t];
            --degree[u];
            ++degree[s];
            ++new_edges;
            inRelation[s] = inRelation[t] = true;
            if (degree[u] == 0) q.push(u);
        }
    }

    // cout << endl << "Herumgespielt" << endl;  for (int i = 0; i < n; i++){  cout << i << " --> " << beziehungen[i] << " (" << degree[i] << endl;  }  cout << endl;


    // -> Grad = 2: Eulerkreise, größer als 2: verbleibende Knoten auf Beziehung überprüfen, dann 0 Kanten, sonst 1 pro Person
    // -> grad >= 3: unmöglich, wegen Schubfach

    int clen, running_neighbor;
    for (int i = 0; i < n; i++){
        // falls in Beziehung: keine Umkopplung
        if (inRelation[i]) continue;
        // andernfalls - find cycle length
        clen = 0;
        running_neighbor = i;
        do {
            inRelation[running_neighbor] = true;
            running_neighbor = beziehungen[running_neighbor];
            ++clen;
        } while(running_neighbor != i);
        new_edges += (clen + 1) / 2;
    }

    cout << new_edges << endl;

    return 0;
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 131 ms 11032 KB Output is correct
5 Correct 138 ms 11140 KB Output is correct
6 Correct 151 ms 11072 KB Output is correct
7 Correct 1 ms 340 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 133 ms 11108 KB Output is correct
2 Correct 129 ms 11156 KB Output is correct
3 Correct 131 ms 11036 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 130 ms 10972 KB Output is correct
6 Correct 130 ms 11176 KB Output is correct
7 Correct 127 ms 11208 KB Output is correct
8 Correct 139 ms 11504 KB Output is correct
9 Correct 121 ms 11360 KB Output is correct
10 Correct 100 ms 11484 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 256 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 316 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 316 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 316 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 131 ms 11032 KB Output is correct
20 Correct 138 ms 11140 KB Output is correct
21 Correct 151 ms 11072 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 133 ms 11108 KB Output is correct
24 Correct 129 ms 11156 KB Output is correct
25 Correct 131 ms 11036 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 130 ms 10972 KB Output is correct
28 Correct 130 ms 11176 KB Output is correct
29 Correct 127 ms 11208 KB Output is correct
30 Correct 139 ms 11504 KB Output is correct
31 Correct 121 ms 11360 KB Output is correct
32 Correct 100 ms 11484 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 132 ms 11052 KB Output is correct
38 Correct 128 ms 11272 KB Output is correct
39 Correct 155 ms 11256 KB Output is correct
40 Correct 130 ms 11184 KB Output is correct
41 Correct 129 ms 11200 KB Output is correct
42 Correct 136 ms 11208 KB Output is correct
43 Correct 131 ms 11220 KB Output is correct
44 Correct 138 ms 11212 KB Output is correct
45 Correct 136 ms 11188 KB Output is correct
46 Correct 138 ms 11188 KB Output is correct
47 Correct 123 ms 11332 KB Output is correct
48 Correct 132 ms 11096 KB Output is correct
49 Correct 143 ms 11100 KB Output is correct
50 Correct 139 ms 11020 KB Output is correct
51 Correct 0 ms 340 KB Output is correct
52 Correct 139 ms 11000 KB Output is correct
53 Correct 126 ms 11212 KB Output is correct
54 Correct 145 ms 11284 KB Output is correct
55 Correct 123 ms 11212 KB Output is correct
56 Correct 122 ms 11340 KB Output is correct
57 Correct 105 ms 11444 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 0 ms 320 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 141 ms 10996 KB Output is correct
66 Correct 142 ms 11084 KB Output is correct
67 Correct 135 ms 11028 KB Output is correct
68 Correct 0 ms 340 KB Output is correct
69 Correct 0 ms 212 KB Output is correct
70 Correct 0 ms 324 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 1 ms 320 KB Output is correct
78 Correct 0 ms 316 KB Output is correct
79 Correct 1 ms 332 KB Output is correct
80 Correct 0 ms 212 KB Output is correct
81 Correct 1 ms 212 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 1 ms 316 KB Output is correct