oj.uz

Submission #1108202

# Submission time Handle Problem Language Result Execution time Memory
1108202 2024-11-03T09:33:53 Z keunbum Race (IOI11_race) C++17
100 / 100
 282 ms 45384 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...)
#endif
 
int best_path(int N, int K, int H[][2], int L[]) {
  int n = N;
  int k = K;
  vector<vector<pair<int, int>>> g(n);
  for (int i = 0; i < n - 1; ++i) {
    int x = H[i][0];
    int y = H[i][1];
    int z = L[i];
    g[x].emplace_back(y, z);
    g[y].emplace_back(x, z);
  }
  vector<bool> removed(n, false);
  vector<int> sz(n);
  vector<int> pv(n);
  function<void(int)> DFS = [&](int v) -> void {
    sz[v] = 1;
    for (auto [u, _] : g[v]) {
      if (u != pv[v] && !removed[u]) {
        pv[u] = v;
        DFS(u);
        sz[v] += sz[u];
      }
    }
  };
  auto GetCenter = [&](int r) {
    pv[r] = -1;
    DFS(r);
    int tot = sz[r];
    while (true) {
      int nr = -1;
      for (auto [u, _] : g[r]) {
        if (u != pv[r] && !removed[u] && sz[u] * 2 > tot) {
          nr = u;
          break;
        }
      }
      if (nr == -1) {
        return r;
      }
      r = nr;
    }
  };
  int ans = n;
  int iter = 0;
  vector<int> aux(k + 1, 0);
  vector<int> dp(k + 1, 0);
  function<void(int, int, int, int)> Find = [&](int v, int pv, int dist, int depth) -> void {
    if (dist > k) {
      return;
    }
    if (aux[k - dist] == iter) {
      ans = min(ans, dp[k - dist] + depth);
    }
    if (dist == k) {
      ans = min(ans, depth);
    }
    for (auto [u, w] : g[v]) {
      if (!removed[u] && u != pv) {
        Find(u, v, dist + w, depth + 1);
      }
    }
  };
  function<void(int, int, int, int)> Calc = [&](int v, int pv, int dist, int depth) -> void {
    if (dist > k) {
      return;
    }
    if (aux[dist] < iter) {
      aux[dist] = iter;
      dp[dist] = depth;
    } else
    if (dp[dist] > depth) {
      dp[dist] = depth;
    }
    for (auto [u, w] : g[v]) {
      if (!removed[u] && u != pv) {
        Calc(u, v, dist + w, depth + 1);
      }
    }
  };  
  function<void(int)> Solve = [&](int v) -> void {
    v = GetCenter(v);
    iter += 1;
    for (auto [u, w] : g[v]) {
      if (!removed[u]) {
        Find(u, v, w, 1);
        Calc(u, v, w, 1);
      }
    }
    removed[v] = true;
    for (auto [u, _] : g[v]) {
      if (!removed[u]) {
        Solve(u);
      }
    }
  };
  Solve(0);
  return (ans == n ? -1 : ans);
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 2 ms 2384 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 2 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
21 Correct 1 ms 2384 KB Output is correct
22 Correct 4 ms 9552 KB Output is correct
23 Correct 4 ms 8272 KB Output is correct
24 Correct 4 ms 9296 KB Output is correct
25 Correct 4 ms 9040 KB Output is correct
26 Correct 3 ms 5200 KB Output is correct
27 Correct 4 ms 8796 KB Output is correct
28 Correct 2 ms 3920 KB Output is correct
29 Correct 3 ms 4944 KB Output is correct
30 Correct 3 ms 5440 KB Output is correct
31 Correct 3 ms 7504 KB Output is correct
32 Correct 3 ms 8016 KB Output is correct
33 Correct 4 ms 8528 KB Output is correct
34 Correct 2 ms 7160 KB Output is correct
35 Correct 3 ms 8784 KB Output is correct
36 Correct 4 ms 9808 KB Output is correct
37 Correct 3 ms 8784 KB Output is correct
38 Correct 4 ms 6480 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 2 ms 2384 KB Output is correct
19 Correct 90 ms 11508 KB Output is correct
20 Correct 88 ms 12292 KB Output is correct
21 Correct 102 ms 11372 KB Output is correct
22 Correct 86 ms 11600 KB Output is correct
23 Correct 57 ms 11592 KB Output is correct
24 Correct 42 ms 12428 KB Output is correct
25 Correct 100 ms 15896 KB Output is correct
26 Correct 84 ms 20296 KB Output is correct
27 Correct 115 ms 18504 KB Output is correct
28 Correct 187 ms 38728 KB Output is correct
29 Correct 175 ms 37464 KB Output is correct
30 Correct 104 ms 20180 KB Output is correct
31 Correct 99 ms 20296 KB Output is correct
32 Correct 131 ms 20996 KB Output is correct
33 Correct 152 ms 19784 KB Output is correct
34 Correct 129 ms 20808 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2384 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2384 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 2 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
21 Correct 1 ms 2384 KB Output is correct
22 Correct 4 ms 9552 KB Output is correct
23 Correct 4 ms 8272 KB Output is correct
24 Correct 4 ms 9296 KB Output is correct
25 Correct 4 ms 9040 KB Output is correct
26 Correct 3 ms 5200 KB Output is correct
27 Correct 4 ms 8796 KB Output is correct
28 Correct 2 ms 3920 KB Output is correct
29 Correct 3 ms 4944 KB Output is correct
30 Correct 3 ms 5440 KB Output is correct
31 Correct 3 ms 7504 KB Output is correct
32 Correct 3 ms 8016 KB Output is correct
33 Correct 4 ms 8528 KB Output is correct
34 Correct 2 ms 7160 KB Output is correct
35 Correct 3 ms 8784 KB Output is correct
36 Correct 4 ms 9808 KB Output is correct
37 Correct 3 ms 8784 KB Output is correct
38 Correct 4 ms 6480 KB Output is correct
39 Correct 90 ms 11508 KB Output is correct
40 Correct 88 ms 12292 KB Output is correct
41 Correct 102 ms 11372 KB Output is correct
42 Correct 86 ms 11600 KB Output is correct
43 Correct 57 ms 11592 KB Output is correct
44 Correct 42 ms 12428 KB Output is correct
45 Correct 100 ms 15896 KB Output is correct
46 Correct 84 ms 20296 KB Output is correct
47 Correct 115 ms 18504 KB Output is correct
48 Correct 187 ms 38728 KB Output is correct
49 Correct 175 ms 37464 KB Output is correct
50 Correct 104 ms 20180 KB Output is correct
51 Correct 99 ms 20296 KB Output is correct
52 Correct 131 ms 20996 KB Output is correct
53 Correct 152 ms 19784 KB Output is correct
54 Correct 129 ms 20808 KB Output is correct
55 Correct 7 ms 3380 KB Output is correct
56 Correct 8 ms 3124 KB Output is correct
57 Correct 65 ms 13060 KB Output is correct
58 Correct 25 ms 11716 KB Output is correct
59 Correct 87 ms 22868 KB Output is correct
60 Correct 282 ms 45384 KB Output is correct
61 Correct 134 ms 21576 KB Output is correct
62 Correct 129 ms 27976 KB Output is correct
63 Correct 149 ms 28156 KB Output is correct
64 Correct 277 ms 24348 KB Output is correct
65 Correct 131 ms 22072 KB Output is correct
66 Correct 270 ms 41916 KB Output is correct
67 Correct 76 ms 30136 KB Output is correct
68 Correct 188 ms 28320 KB Output is correct
69 Correct 163 ms 30024 KB Output is correct
70 Correct 137 ms 28744 KB Output is correct