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Submission #696192

# Submission time Handle Problem Language Result Execution time Memory
696192 2023-02-05T19:31:45 Z bdl Love Polygon (BOI18_polygon) C++17
100 / 100
 114 ms 24072 KB 
#include <algorithm>
#include <array>
#include <iostream>
#include <vector>
using namespace std;

#define ar array

const int N = 1e5;

vector<int> g[N], cc;
bool on[N];
int o[N], v[N];

void dfs(int i) {
  int j = o[i];
  if (v[j] == 0) {
    v[j] = 1;
    dfs(j);
  } else if (v[j] == 1)
    cc.push_back(j);
  v[i] = 2;
}

ar<int, 2> dp(int i) {
  int t01 = 0, tm = 0;
  for (int j : g[i])
    if (!on[j]) {
      ar<int, 2> a = dp(j);
      t01 += max(a[0], a[1]), tm = max(tm, 1 + a[0] - max(a[0], a[1]));
    }
  return {t01, t01 + tm};
}

int main() {
  ios::sync_with_stdio(0), cin.tie(0);
  int n;
  cin >> n;
  static ar<string, 2> e[N];
  static string c[N];
  for (int i = 0; i < n; i++)
    cin >> e[i][0] >> e[i][1], c[i] = e[i][0];
  if (n % 2) {
    cout << -1 << '\n';
    return 0;
  }
  sort(c, c + n);
  for (int h = 0; h < n; h++) {
    int u = lower_bound(c, c + n, e[h][0]) - c;
    int v = lower_bound(c, c + n, e[h][1]) - c;
    o[u] = v;
    g[v].push_back(u);
  }
  for (int i = 0; i < n; i++)
    if (!v[i]) {
      v[i] = 1;
      dfs(i);
    }
  int p0 = 0, p1 = 0;
  for (int i : cc) {
    int u = i;
    vector<ar<int, 2>> f;
    do {
      on[u] = 1;
      u = o[u];
    } while (u != i);
    u = i;
    do {
      f.push_back(dp(u));
      u = o[u];
    } while (u != i);
    if (f.size() == 1)
      p1 += max(f[0][0], f[0][1]);
    else if (f.size() == 2)
      p0 += 1, p1 += f[0][0] + f[1][0];
    else {
      int x = 0;
      for (int it = 0; it < 2; it++) {
        ar<int, 2> t = f[0];
        for (int i = 1; i < (int) f.size(); i++)
          t = {max(t[0], t[1]) + f[i][0], max(t[0] + f[i][0] + 1, max(t[0], t[1]) + f[i][1])};
        x = max(x, max(t[0], t[1]));
        rotate(f.begin(), f.begin() + 1, f.end());
      }
      p1 += x;
    }
  }
  int p2 = n / 2 - p0 - p1;
  cout << p1 + p2 * 2 << '\n';
  return 0;
}

Subtask #1
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 6 ms 12024 KB Output is correct
5 Correct 6 ms 11988 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 6 ms 11988 KB Output is correct
8 Correct 6 ms 11988 KB Output is correct
9 Correct 5 ms 11988 KB Output is correct
10 Correct 5 ms 11988 KB Output is correct
11 Correct 8 ms 11988 KB Output is correct
12 Correct 6 ms 12032 KB Output is correct
13 Correct 5 ms 12028 KB Output is correct
14 Correct 5 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11980 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 107 ms 23420 KB Output is correct
5 Correct 105 ms 18360 KB Output is correct
6 Correct 107 ms 24072 KB Output is correct
7 Correct 18 ms 14156 KB Output is correct

Subtask #3
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 109 ms 17424 KB Output is correct
2 Correct 107 ms 18568 KB Output is correct
3 Correct 98 ms 18688 KB Output is correct
4 Correct 18 ms 14116 KB Output is correct
5 Correct 110 ms 22364 KB Output is correct
6 Correct 104 ms 16516 KB Output is correct
7 Correct 106 ms 16648 KB Output is correct
8 Correct 110 ms 17300 KB Output is correct
9 Correct 97 ms 16132 KB Output is correct
10 Correct 78 ms 15436 KB Output is correct
11 Correct 6 ms 11988 KB Output is correct
12 Correct 6 ms 12024 KB Output is correct
13 Correct 6 ms 12084 KB Output is correct
14 Correct 7 ms 11988 KB Output is correct

Subtask #4
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 5 ms 11988 KB Output is correct
4 Correct 6 ms 12024 KB Output is correct
5 Correct 6 ms 11988 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 6 ms 11988 KB Output is correct
8 Correct 6 ms 11988 KB Output is correct
9 Correct 5 ms 11988 KB Output is correct
10 Correct 5 ms 11988 KB Output is correct
11 Correct 8 ms 11988 KB Output is correct
12 Correct 6 ms 12032 KB Output is correct
13 Correct 5 ms 12028 KB Output is correct
14 Correct 5 ms 11988 KB Output is correct
15 Correct 6 ms 11988 KB Output is correct
16 Correct 5 ms 11980 KB Output is correct
17 Correct 5 ms 11988 KB Output is correct
18 Correct 5 ms 11988 KB Output is correct
19 Correct 107 ms 23420 KB Output is correct
20 Correct 105 ms 18360 KB Output is correct
21 Correct 107 ms 24072 KB Output is correct
22 Correct 18 ms 14156 KB Output is correct
23 Correct 109 ms 17424 KB Output is correct
24 Correct 107 ms 18568 KB Output is correct
25 Correct 98 ms 18688 KB Output is correct
26 Correct 18 ms 14116 KB Output is correct
27 Correct 110 ms 22364 KB Output is correct
28 Correct 104 ms 16516 KB Output is correct
29 Correct 106 ms 16648 KB Output is correct
30 Correct 110 ms 17300 KB Output is correct
31 Correct 97 ms 16132 KB Output is correct
32 Correct 78 ms 15436 KB Output is correct
33 Correct 6 ms 11988 KB Output is correct
34 Correct 6 ms 12024 KB Output is correct
35 Correct 6 ms 12084 KB Output is correct
36 Correct 7 ms 11988 KB Output is correct
37 Correct 110 ms 17844 KB Output is correct
38 Correct 104 ms 17944 KB Output is correct
39 Correct 109 ms 16912 KB Output is correct
40 Correct 106 ms 16704 KB Output is correct
41 Correct 103 ms 16624 KB Output is correct
42 Correct 108 ms 17032 KB Output is correct
43 Correct 105 ms 17028 KB Output is correct
44 Correct 105 ms 17028 KB Output is correct
45 Correct 114 ms 17072 KB Output is correct
46 Correct 106 ms 17104 KB Output is correct
47 Correct 100 ms 16288 KB Output is correct
48 Correct 111 ms 17376 KB Output is correct
49 Correct 108 ms 18684 KB Output is correct
50 Correct 98 ms 18688 KB Output is correct
51 Correct 18 ms 14108 KB Output is correct
52 Correct 110 ms 22404 KB Output is correct
53 Correct 110 ms 16520 KB Output is correct
54 Correct 109 ms 16672 KB Output is correct
55 Correct 102 ms 17360 KB Output is correct
56 Correct 96 ms 16096 KB Output is correct
57 Correct 75 ms 15488 KB Output is correct
58 Correct 6 ms 12032 KB Output is correct
59 Correct 6 ms 11988 KB Output is correct
60 Correct 5 ms 12028 KB Output is correct
61 Correct 6 ms 11988 KB Output is correct
62 Correct 6 ms 11988 KB Output is correct
63 Correct 6 ms 12080 KB Output is correct
64 Correct 6 ms 12160 KB Output is correct
65 Correct 108 ms 23424 KB Output is correct
66 Correct 110 ms 18500 KB Output is correct
67 Correct 112 ms 24004 KB Output is correct
68 Correct 19 ms 14204 KB Output is correct
69 Correct 6 ms 11988 KB Output is correct
70 Correct 6 ms 12072 KB Output is correct
71 Correct 6 ms 12116 KB Output is correct
72 Correct 6 ms 11988 KB Output is correct
73 Correct 5 ms 11988 KB Output is correct
74 Correct 6 ms 11988 KB Output is correct
75 Correct 6 ms 11988 KB Output is correct
76 Correct 6 ms 11988 KB Output is correct
77 Correct 6 ms 12032 KB Output is correct
78 Correct 5 ms 12032 KB Output is correct
79 Correct 6 ms 12032 KB Output is correct
80 Correct 6 ms 11988 KB Output is correct
81 Correct 6 ms 11988 KB Output is correct
82 Correct 6 ms 11988 KB Output is correct
83 Correct 6 ms 12116 KB Output is correct