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Submission #1051861

# Submission time Handle Problem Language Result Execution time Memory
1051861 2024-08-10T10:18:06 Z duckindog Village (BOI20_village) C++17
50 / 100
 76 ms 41144 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 { 
  long long length;
  int sz[N], st[N], it;
  void dfs0(int u, int p = -1) { 
    st[u] = ++it;
    sz[u] = 1;
    for (const auto& v : ad[u]) { 
      if (v == p) continue;
      dfs0(v, u);
      sz[u] += sz[v];
      length += 2 * min(sz[v], n - sz[v]);
    }
  }

  vector<int> answer;
  void solve() { 
    dfs0(1);
    
    vector<pair<int, int>> vt;
    for (int i = 1; i <= n; ++i) vt.push_back({i, i});
    sort(vt.begin(), vt.end(), [&](const auto& a, const auto& b) { return st[a.first] < st[b.first]; });
    for (int i = 1; i <= n; ++i) swap(vt[i - 1].first, vt[(i + (n + 1) / 2 - 1) % n].first);
    answer.resize(n);
    for (const auto& x : vt) answer[x.second - 1] = x.first;
  }
}

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 2 ms 10072 KB Partially correct
2 Partially correct 1 ms 9820 KB Partially correct
3 Partially correct 1 ms 9820 KB Partially correct
4 Partially correct 1 ms 9820 KB Partially correct
5 Partially correct 1 ms 9820 KB Partially correct
6 Partially correct 1 ms 10076 KB Partially correct
7 Correct 2 ms 9820 KB Output is correct
8 Partially correct 1 ms 9820 KB Partially correct
9 Partially correct 1 ms 9820 KB Partially correct
10 Partially correct 2 ms 9820 KB Partially correct
11 Partially correct 1 ms 9820 KB Partially correct
12 Partially correct 2 ms 9816 KB Partially correct
13 Partially correct 2 ms 9820 KB Partially correct
14 Partially correct 1 ms 9820 KB Partially correct
15 Partially correct 1 ms 9820 KB Partially correct
16 Partially correct 1 ms 9820 KB Partially correct
17 Partially correct 1 ms 9820 KB Partially correct

Subtask #2
19.0 / 38.0

# Verdict Execution time Memory Grader output
1 Partially correct 2 ms 10072 KB Partially correct
2 Partially correct 2 ms 10076 KB Partially correct
3 Partially correct 2 ms 10076 KB Partially correct
4 Partially correct 2 ms 10076 KB Partially correct
5 Partially correct 2 ms 10104 KB Partially correct
6 Partially correct 2 ms 10076 KB Partially correct
7 Partially correct 2 ms 10076 KB Partially correct
8 Partially correct 2 ms 10076 KB Partially correct
9 Partially correct 2 ms 10076 KB Partially correct
10 Partially correct 2 ms 10076 KB Partially correct
11 Partially correct 2 ms 10076 KB Partially correct
12 Partially correct 2 ms 10076 KB Partially correct
13 Partially correct 2 ms 10076 KB Partially correct
14 Partially correct 2 ms 10076 KB Partially correct
15 Partially correct 2 ms 10044 KB Partially correct
16 Partially correct 2 ms 10076 KB Partially correct
17 Partially correct 2 ms 10076 KB Partially correct
18 Partially correct 2 ms 10076 KB Partially correct
19 Partially correct 2 ms 10076 KB Partially correct
20 Partially correct 2 ms 10076 KB Partially correct
21 Partially correct 2 ms 10076 KB Partially correct
22 Partially correct 2 ms 10076 KB Partially correct
23 Partially correct 2 ms 10072 KB Partially correct
24 Partially correct 2 ms 10076 KB Partially correct
25 Partially correct 2 ms 10076 KB Partially correct
26 Partially correct 2 ms 10328 KB Partially correct
27 Partially correct 2 ms 10076 KB Partially correct
28 Partially correct 3 ms 10076 KB Partially correct
29 Partially correct 2 ms 10076 KB Partially correct
30 Partially correct 2 ms 10076 KB Partially correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Partially correct 2 ms 10072 KB Partially correct
2 Partially correct 1 ms 9820 KB Partially correct
3 Partially correct 1 ms 9820 KB Partially correct
4 Partially correct 1 ms 9820 KB Partially correct
5 Partially correct 1 ms 9820 KB Partially correct
6 Partially correct 1 ms 10076 KB Partially correct
7 Correct 2 ms 9820 KB Output is correct
8 Partially correct 1 ms 9820 KB Partially correct
9 Partially correct 1 ms 9820 KB Partially correct
10 Partially correct 2 ms 9820 KB Partially correct
11 Partially correct 1 ms 9820 KB Partially correct
12 Partially correct 2 ms 9816 KB Partially correct
13 Partially correct 2 ms 9820 KB Partially correct
14 Partially correct 1 ms 9820 KB Partially correct
15 Partially correct 1 ms 9820 KB Partially correct
16 Partially correct 1 ms 9820 KB Partially correct
17 Partially correct 1 ms 9820 KB Partially correct
18 Partially correct 2 ms 10072 KB Partially correct
19 Partially correct 2 ms 10076 KB Partially correct
20 Partially correct 2 ms 10076 KB Partially correct
21 Partially correct 2 ms 10076 KB Partially correct
22 Partially correct 2 ms 10104 KB Partially correct
23 Partially correct 2 ms 10076 KB Partially correct
24 Partially correct 2 ms 10076 KB Partially correct
25 Partially correct 2 ms 10076 KB Partially correct
26 Partially correct 2 ms 10076 KB Partially correct
27 Partially correct 2 ms 10076 KB Partially correct
28 Partially correct 2 ms 10076 KB Partially correct
29 Partially correct 2 ms 10076 KB Partially correct
30 Partially correct 2 ms 10076 KB Partially correct
31 Partially correct 2 ms 10076 KB Partially correct
32 Partially correct 2 ms 10044 KB Partially correct
33 Partially correct 2 ms 10076 KB Partially correct
34 Partially correct 2 ms 10076 KB Partially correct
35 Partially correct 2 ms 10076 KB Partially correct
36 Partially correct 2 ms 10076 KB Partially correct
37 Partially correct 2 ms 10076 KB Partially correct
38 Partially correct 2 ms 10076 KB Partially correct
39 Partially correct 2 ms 10076 KB Partially correct
40 Partially correct 2 ms 10072 KB Partially correct
41 Partially correct 2 ms 10076 KB Partially correct
42 Partially correct 2 ms 10076 KB Partially correct
43 Partially correct 2 ms 10328 KB Partially correct
44 Partially correct 2 ms 10076 KB Partially correct
45 Partially correct 3 ms 10076 KB Partially correct
46 Partially correct 2 ms 10076 KB Partially correct
47 Partially correct 2 ms 10076 KB Partially correct
48 Partially correct 47 ms 18376 KB Partially correct
49 Partially correct 54 ms 19136 KB Partially correct
50 Partially correct 53 ms 19132 KB Partially correct
51 Partially correct 39 ms 17256 KB Partially correct
52 Partially correct 49 ms 19104 KB Partially correct
53 Partially correct 43 ms 18200 KB Partially correct
54 Partially correct 33 ms 24904 KB Partially correct
55 Partially correct 71 ms 41144 KB Partially correct
56 Partially correct 76 ms 29112 KB Partially correct
57 Partially correct 57 ms 25792 KB Partially correct
58 Partially correct 54 ms 22996 KB Partially correct
59 Partially correct 50 ms 19132 KB Partially correct
60 Partially correct 45 ms 17956 KB Partially correct
61 Partially correct 42 ms 18228 KB Partially correct
62 Partially correct 39 ms 17844 KB Partially correct
63 Partially correct 34 ms 17396 KB Partially correct
64 Partially correct 40 ms 18368 KB Partially correct
65 Partially correct 36 ms 18376 KB Partially correct
66 Partially correct 33 ms 17636 KB Partially correct
67 Partially correct 27 ms 16144 KB Partially correct
68 Partially correct 34 ms 17204 KB Partially correct
69 Partially correct 43 ms 18368 KB Partially correct
70 Partially correct 36 ms 17904 KB Partially correct
71 Partially correct 25 ms 15828 KB Partially correct
72 Partially correct 37 ms 16732 KB Partially correct
73 Partially correct 35 ms 18376 KB Partially correct
74 Partially correct 32 ms 17668 KB Partially correct
75 Partially correct 47 ms 18448 KB Partially correct
76 Partially correct 46 ms 18616 KB Partially correct
77 Partially correct 39 ms 18920 KB Partially correct
78 Partially correct 30 ms 15836 KB Partially correct
79 Partially correct 33 ms 16228 KB Partially correct
80 Partially correct 48 ms 18360 KB Partially correct
81 Partially correct 39 ms 18932 KB Partially correct
82 Partially correct 41 ms 17444 KB Partially correct