Submission #894252

# Submission time Handle Problem Language Result Execution time Memory
894252 2023-12-28T03:07:07 Z box Love Polygon (BOI18_polygon) C++17
100 / 100
114 ms 24012 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;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 4 ms 12892 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct
11 Correct 3 ms 12888 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 4 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 3 ms 12760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 4 ms 12892 KB Output is correct
3 Correct 3 ms 12764 KB Output is correct
4 Correct 98 ms 23492 KB Output is correct
5 Correct 90 ms 18508 KB Output is correct
6 Correct 106 ms 24012 KB Output is correct
7 Correct 18 ms 14928 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 93 ms 17480 KB Output is correct
2 Correct 110 ms 19012 KB Output is correct
3 Correct 97 ms 18888 KB Output is correct
4 Correct 15 ms 14940 KB Output is correct
5 Correct 92 ms 22464 KB Output is correct
6 Correct 87 ms 16636 KB Output is correct
7 Correct 84 ms 16736 KB Output is correct
8 Correct 80 ms 17456 KB Output is correct
9 Correct 81 ms 16272 KB Output is correct
10 Correct 61 ms 15716 KB Output is correct
11 Correct 4 ms 12892 KB Output is correct
12 Correct 3 ms 13144 KB Output is correct
13 Correct 4 ms 12892 KB Output is correct
14 Correct 4 ms 12764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12892 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 4 ms 12892 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 3 ms 12892 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 3 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct
11 Correct 3 ms 12888 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 4 ms 12892 KB Output is correct
14 Correct 3 ms 12892 KB Output is correct
15 Correct 3 ms 12760 KB Output is correct
16 Correct 3 ms 12892 KB Output is correct
17 Correct 4 ms 12892 KB Output is correct
18 Correct 3 ms 12764 KB Output is correct
19 Correct 98 ms 23492 KB Output is correct
20 Correct 90 ms 18508 KB Output is correct
21 Correct 106 ms 24012 KB Output is correct
22 Correct 18 ms 14928 KB Output is correct
23 Correct 93 ms 17480 KB Output is correct
24 Correct 110 ms 19012 KB Output is correct
25 Correct 97 ms 18888 KB Output is correct
26 Correct 15 ms 14940 KB Output is correct
27 Correct 92 ms 22464 KB Output is correct
28 Correct 87 ms 16636 KB Output is correct
29 Correct 84 ms 16736 KB Output is correct
30 Correct 80 ms 17456 KB Output is correct
31 Correct 81 ms 16272 KB Output is correct
32 Correct 61 ms 15716 KB Output is correct
33 Correct 4 ms 12892 KB Output is correct
34 Correct 3 ms 13144 KB Output is correct
35 Correct 4 ms 12892 KB Output is correct
36 Correct 4 ms 12764 KB Output is correct
37 Correct 90 ms 17828 KB Output is correct
38 Correct 96 ms 17880 KB Output is correct
39 Correct 97 ms 16844 KB Output is correct
40 Correct 98 ms 16688 KB Output is correct
41 Correct 91 ms 16840 KB Output is correct
42 Correct 104 ms 17084 KB Output is correct
43 Correct 92 ms 17228 KB Output is correct
44 Correct 103 ms 17104 KB Output is correct
45 Correct 94 ms 17140 KB Output is correct
46 Correct 98 ms 17100 KB Output is correct
47 Correct 89 ms 16588 KB Output is correct
48 Correct 90 ms 17356 KB Output is correct
49 Correct 94 ms 18772 KB Output is correct
50 Correct 84 ms 18780 KB Output is correct
51 Correct 15 ms 14944 KB Output is correct
52 Correct 104 ms 22476 KB Output is correct
53 Correct 93 ms 16628 KB Output is correct
54 Correct 99 ms 16724 KB Output is correct
55 Correct 87 ms 17436 KB Output is correct
56 Correct 88 ms 16340 KB Output is correct
57 Correct 68 ms 15648 KB Output is correct
58 Correct 3 ms 12892 KB Output is correct
59 Correct 4 ms 12892 KB Output is correct
60 Correct 3 ms 12892 KB Output is correct
61 Correct 4 ms 12888 KB Output is correct
62 Correct 4 ms 12764 KB Output is correct
63 Correct 4 ms 12764 KB Output is correct
64 Correct 4 ms 12916 KB Output is correct
65 Correct 114 ms 23520 KB Output is correct
66 Correct 93 ms 18380 KB Output is correct
67 Correct 92 ms 23968 KB Output is correct
68 Correct 15 ms 14820 KB Output is correct
69 Correct 3 ms 12892 KB Output is correct
70 Correct 3 ms 12892 KB Output is correct
71 Correct 4 ms 12760 KB Output is correct
72 Correct 4 ms 12892 KB Output is correct
73 Correct 3 ms 12760 KB Output is correct
74 Correct 4 ms 12892 KB Output is correct
75 Correct 3 ms 12892 KB Output is correct
76 Correct 5 ms 12756 KB Output is correct
77 Correct 3 ms 12888 KB Output is correct
78 Correct 3 ms 12892 KB Output is correct
79 Correct 3 ms 12892 KB Output is correct
80 Correct 3 ms 12884 KB Output is correct
81 Correct 4 ms 12892 KB Output is correct
82 Correct 3 ms 12892 KB Output is correct
83 Correct 4 ms 12892 KB Output is correct