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Submission #1050917

# Submission time Handle Problem Language Result Execution time Memory
1050917 2024-08-09T16:51:12 Z duckindog Village (BOI20_village) C++17
50 / 100
 68 ms 41044 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 100'000 + 10;
const long long MAX = 1'000'000'000'000'000'000;
int n;
vector<int> ad[N];

namespace findMin { 
  long long f[N][2];
  vector<tuple<int, int, int>> trace[N][2];
  void dfs0(int u, int p = -1) { 
    f[u][1] = 0;
    
    vector<int> best;
    for (const auto& v : ad[u]) { 
      if (v == p) continue;
      dfs0(v, u);
      best.push_back(v);
    }

    if (best.size()) { 
      sort(best.begin(), best.end(), [&](const auto& a, const auto& b) { 
        return f[a][1] - f[a][0] > f[b][1] - f[b][0];
      });

      { //f[u][1]
        vector<int> vt = best;
        auto& ret = f[u][1];
        auto& tr = trace[u][1];

        while (vt.size() > 1) { 
          long long value = min(MAX, f[vt.back()][1] + f[vt.end()[-2]][1] + 4);  
          if (value <= min(MAX, f[vt.back()][0] + f[vt.end()[-2]][0])) { 
            ret = min(MAX, ret + value);
            tr.emplace_back(0, vt.back(), vt.end()[-2]);
            vt.pop_back();
            vt.pop_back();
          } else break;
        }
        for (const auto& x : vt) {
          ret = min(MAX, ret + f[x][0]);
          tr.emplace_back(1, x, 0);
        }
      }
      
      { //f[u][0]
        vector<int> vt = best;
        auto& ret = f[u][0];
        auto& tr = trace[u][0];

        ret = f[vt.back()][1] + 2;
        tr.emplace_back(2, vt.back(), 1);
        vt.pop_back();
        for (const auto& x : vt) { 
          if (f[x][1] + 2 <= f[x][0]) { 
            ret = min(MAX, ret + f[x][1] + 2);
            tr.emplace_back(2, x, 1);
          } else { 
            ret = min(MAX, ret + f[x][0]);
            tr.emplace_back(2, x, 0);
          }
        }
      }
      

      if (f[u][0] > f[u][1] + 2) { 
        f[u][0] = min(MAX, f[u][1] + 2);
        trace[u][0] = {make_tuple(3, best.back(), 0)};
      }
    }
    if (f[u][1] >= MAX || f[u][1] < 0) f[u][1] = 2 * MAX;
    if (f[u][0] >= MAX || f[u][0] < 0) f[u][0] = MAX;
  }

  int vt[N];
  void dfs1(int u, int st) { 
    for (const auto& [type, a, b] : trace[u][st]) { 
      if (!type) { 
        dfs1(a, 1); dfs1(b, 1);
        swap(vt[a], vt[b]);
      } else if (type == 1) {
        dfs1(a, 0);
      } else if (type == 2) { 
        dfs1(a, b);
        if (b) swap(vt[u], vt[a]);
      } else { 
        dfs1(u, 1);
        swap(vt[u], vt[a]);
      }
    }
  }
  int length;
  vector<int> answer;
  void solve() { 
    memset(f, 14, sizeof f);
    dfs0(1);
    iota(vt + 1, vt + n + 1, 1);
    dfs1(1, 0);
    length = f[1][0];
    answer = vector<int>(vt + 1, vt + n + 1);
  }
}

namespace findMax { 
  int length;
  vector<int> answer;
  void solve() { 
    length = 1;
    answer = vector<int>(n, 1);
  }
}

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n;
  for (int i = 1; i < n; ++i) { 
    int u, v; cin >> u >> v;
    ad[u].push_back(v);
    ad[v].push_back(u);
  }

  findMin::solve();
  findMax::solve();

  cout << findMin::length << " " << findMax::length << "\n";
  for (int i = 0; i < n; ++i) cout << findMin::answer[i] << " \n"[i == n - 1];
  for (int i = 0; i < n; ++i) cout << findMax::answer[i] << " \n"[i == n - 1];
}

Subtask #1
6.0 / 12.0

# Verdict Execution time Memory Grader output
1 Partially correct 3 ms 9052 KB Partially correct
2 Partially correct 4 ms 9052 KB Partially correct
3 Partially correct 3 ms 9064 KB Partially correct
4 Partially correct 3 ms 9048 KB Partially correct
5 Partially correct 5 ms 9052 KB Partially correct
6 Partially correct 3 ms 9052 KB Partially correct
7 Partially correct 3 ms 9048 KB Partially correct
8 Partially correct 3 ms 9052 KB Partially correct
9 Partially correct 3 ms 9052 KB Partially correct
10 Partially correct 3 ms 9052 KB Partially correct
11 Partially correct 4 ms 9052 KB Partially correct
12 Partially correct 3 ms 9048 KB Partially correct
13 Partially correct 3 ms 9052 KB Partially correct
14 Partially correct 3 ms 8896 KB Partially correct
15 Partially correct 3 ms 9052 KB Partially correct
16 Partially correct 3 ms 9052 KB Partially correct
17 Partially correct 3 ms 9052 KB Partially correct

Subtask #2
19.0 / 38.0

# Verdict Execution time Memory Grader output
1 Partially correct 5 ms 9048 KB Partially correct
2 Partially correct 5 ms 9048 KB Partially correct
3 Partially correct 3 ms 9052 KB Partially correct
4 Partially correct 3 ms 9052 KB Partially correct
5 Partially correct 3 ms 9052 KB Partially correct
6 Partially correct 4 ms 9060 KB Partially correct
7 Partially correct 3 ms 9308 KB Partially correct
8 Partially correct 4 ms 9052 KB Partially correct
9 Partially correct 3 ms 9044 KB Partially correct
10 Partially correct 3 ms 9052 KB Partially correct
11 Partially correct 3 ms 9052 KB Partially correct
12 Partially correct 3 ms 9048 KB Partially correct
13 Partially correct 3 ms 9052 KB Partially correct
14 Partially correct 5 ms 9052 KB Partially correct
15 Partially correct 3 ms 9060 KB Partially correct
16 Partially correct 3 ms 9052 KB Partially correct
17 Partially correct 3 ms 9052 KB Partially correct
18 Partially correct 3 ms 9052 KB Partially correct
19 Partially correct 3 ms 9052 KB Partially correct
20 Partially correct 3 ms 9052 KB Partially correct
21 Partially correct 4 ms 9052 KB Partially correct
22 Partially correct 3 ms 9060 KB Partially correct
23 Partially correct 3 ms 9052 KB Partially correct
24 Partially correct 3 ms 9052 KB Partially correct
25 Partially correct 4 ms 9052 KB Partially correct
26 Partially correct 3 ms 9056 KB Partially correct
27 Partially correct 3 ms 9052 KB Partially correct
28 Partially correct 4 ms 9048 KB Partially correct
29 Partially correct 3 ms 9052 KB Partially correct
30 Partially correct 3 ms 9052 KB Partially correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Partially correct 3 ms 9052 KB Partially correct
2 Partially correct 4 ms 9052 KB Partially correct
3 Partially correct 3 ms 9064 KB Partially correct
4 Partially correct 3 ms 9048 KB Partially correct
5 Partially correct 5 ms 9052 KB Partially correct
6 Partially correct 3 ms 9052 KB Partially correct
7 Partially correct 3 ms 9048 KB Partially correct
8 Partially correct 3 ms 9052 KB Partially correct
9 Partially correct 3 ms 9052 KB Partially correct
10 Partially correct 3 ms 9052 KB Partially correct
11 Partially correct 4 ms 9052 KB Partially correct
12 Partially correct 3 ms 9048 KB Partially correct
13 Partially correct 3 ms 9052 KB Partially correct
14 Partially correct 3 ms 8896 KB Partially correct
15 Partially correct 3 ms 9052 KB Partially correct
16 Partially correct 3 ms 9052 KB Partially correct
17 Partially correct 3 ms 9052 KB Partially correct
18 Partially correct 5 ms 9048 KB Partially correct
19 Partially correct 5 ms 9048 KB Partially correct
20 Partially correct 3 ms 9052 KB Partially correct
21 Partially correct 3 ms 9052 KB Partially correct
22 Partially correct 3 ms 9052 KB Partially correct
23 Partially correct 4 ms 9060 KB Partially correct
24 Partially correct 3 ms 9308 KB Partially correct
25 Partially correct 4 ms 9052 KB Partially correct
26 Partially correct 3 ms 9044 KB Partially correct
27 Partially correct 3 ms 9052 KB Partially correct
28 Partially correct 3 ms 9052 KB Partially correct
29 Partially correct 3 ms 9048 KB Partially correct
30 Partially correct 3 ms 9052 KB Partially correct
31 Partially correct 5 ms 9052 KB Partially correct
32 Partially correct 3 ms 9060 KB Partially correct
33 Partially correct 3 ms 9052 KB Partially correct
34 Partially correct 3 ms 9052 KB Partially correct
35 Partially correct 3 ms 9052 KB Partially correct
36 Partially correct 3 ms 9052 KB Partially correct
37 Partially correct 3 ms 9052 KB Partially correct
38 Partially correct 4 ms 9052 KB Partially correct
39 Partially correct 3 ms 9060 KB Partially correct
40 Partially correct 3 ms 9052 KB Partially correct
41 Partially correct 3 ms 9052 KB Partially correct
42 Partially correct 4 ms 9052 KB Partially correct
43 Partially correct 3 ms 9056 KB Partially correct
44 Partially correct 3 ms 9052 KB Partially correct
45 Partially correct 4 ms 9048 KB Partially correct
46 Partially correct 3 ms 9052 KB Partially correct
47 Partially correct 3 ms 9052 KB Partially correct
48 Partially correct 57 ms 18256 KB Partially correct
49 Partially correct 49 ms 19284 KB Partially correct
50 Partially correct 47 ms 19280 KB Partially correct
51 Partially correct 35 ms 16976 KB Partially correct
52 Partially correct 52 ms 19032 KB Partially correct
53 Partially correct 40 ms 18004 KB Partially correct
54 Partially correct 32 ms 24408 KB Partially correct
55 Partially correct 68 ms 41044 KB Partially correct
56 Partially correct 60 ms 29016 KB Partially correct
57 Partially correct 54 ms 25876 KB Partially correct
58 Partially correct 53 ms 22868 KB Partially correct
59 Partially correct 50 ms 19280 KB Partially correct
60 Partially correct 36 ms 17332 KB Partially correct
61 Partially correct 32 ms 18288 KB Partially correct
62 Partially correct 33 ms 17692 KB Partially correct
63 Partially correct 30 ms 17244 KB Partially correct
64 Partially correct 39 ms 18516 KB Partially correct
65 Partially correct 31 ms 18260 KB Partially correct
66 Partially correct 31 ms 17508 KB Partially correct
67 Partially correct 24 ms 15636 KB Partially correct
68 Partially correct 28 ms 16988 KB Partially correct
69 Partially correct 32 ms 18524 KB Partially correct
70 Partially correct 30 ms 17756 KB Partially correct
71 Partially correct 22 ms 15452 KB Partially correct
72 Partially correct 27 ms 16464 KB Partially correct
73 Partially correct 31 ms 18520 KB Partially correct
74 Partially correct 31 ms 17488 KB Partially correct
75 Partially correct 44 ms 18256 KB Partially correct
76 Partially correct 43 ms 18512 KB Partially correct
77 Partially correct 35 ms 18796 KB Partially correct
78 Partially correct 27 ms 15192 KB Partially correct
79 Partially correct 33 ms 16208 KB Partially correct
80 Partially correct 48 ms 18280 KB Partially correct
81 Partially correct 35 ms 18772 KB Partially correct
82 Partially correct 35 ms 17488 KB Partially correct