oj.uz

Submission #1108192

# Submission time Handle Problem Language Result Execution time Memory
1108192 2024-11-03T08:59:02 Z keunbum Race (IOI11_race) C++14
100 / 100
 276 ms 42856 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) {
      aux[dist] = iter;
      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);
}

Compilation message

race.cpp: In lambda function:
race.cpp:27:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   27 |     for (auto [u, _] : g[v]) {
      |               ^
race.cpp: In lambda function:
race.cpp:41:17: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   41 |       for (auto [u, _] : g[r]) {
      |                 ^
race.cpp: In lambda function:
race.cpp:67:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   67 |     for (auto [u, w] : g[v]) {
      |               ^
race.cpp: In lambda function:
race.cpp:85:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   85 |     for (auto [u, w] : g[v]) {
      |               ^
race.cpp: In lambda function:
race.cpp:94:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   94 |     for (auto [u, w] : g[v]) {
      |               ^
race.cpp:101:15: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  101 |     for (auto [u, _] : g[v]) {
      |               ^

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 2608 KB Output is correct
11 Correct 1 ms 2396 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 2396 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 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 2608 KB Output is correct
11 Correct 1 ms 2396 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 2396 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 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 3 ms 8444 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 3 ms 8784 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 5200 KB Output is correct
31 Correct 2 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 3 ms 6992 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 2608 KB Output is correct
11 Correct 1 ms 2396 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 2396 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 88 ms 11352 KB Output is correct
20 Correct 88 ms 11344 KB Output is correct
21 Correct 97 ms 11368 KB Output is correct
22 Correct 87 ms 11600 KB Output is correct
23 Correct 67 ms 11600 KB Output is correct
24 Correct 42 ms 11600 KB Output is correct
25 Correct 94 ms 15692 KB Output is correct
26 Correct 87 ms 20304 KB Output is correct
27 Correct 96 ms 18504 KB Output is correct
28 Correct 172 ms 35912 KB Output is correct
29 Correct 172 ms 34376 KB Output is correct
30 Correct 102 ms 18540 KB Output is correct
31 Correct 99 ms 18504 KB Output is correct
32 Correct 114 ms 18520 KB Output is correct
33 Correct 144 ms 17480 KB Output is correct
34 Correct 125 ms 17252 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 2608 KB Output is correct
11 Correct 1 ms 2396 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 2396 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 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 3 ms 8444 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 3 ms 8784 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 5200 KB Output is correct
31 Correct 2 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 3 ms 6992 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 88 ms 11352 KB Output is correct
40 Correct 88 ms 11344 KB Output is correct
41 Correct 97 ms 11368 KB Output is correct
42 Correct 87 ms 11600 KB Output is correct
43 Correct 67 ms 11600 KB Output is correct
44 Correct 42 ms 11600 KB Output is correct
45 Correct 94 ms 15692 KB Output is correct
46 Correct 87 ms 20304 KB Output is correct
47 Correct 96 ms 18504 KB Output is correct
48 Correct 172 ms 35912 KB Output is correct
49 Correct 172 ms 34376 KB Output is correct
50 Correct 102 ms 18540 KB Output is correct
51 Correct 99 ms 18504 KB Output is correct
52 Correct 114 ms 18520 KB Output is correct
53 Correct 144 ms 17480 KB Output is correct
54 Correct 125 ms 17252 KB Output is correct
55 Correct 9 ms 3152 KB Output is correct
56 Correct 8 ms 3152 KB Output is correct
57 Correct 62 ms 11772 KB Output is correct
58 Correct 25 ms 11716 KB Output is correct
59 Correct 88 ms 21604 KB Output is correct
60 Correct 276 ms 42856 KB Output is correct
61 Correct 106 ms 18580 KB Output is correct
62 Correct 129 ms 26216 KB Output is correct
63 Correct 141 ms 26228 KB Output is correct
64 Correct 247 ms 22088 KB Output is correct
65 Correct 122 ms 18280 KB Output is correct
66 Correct 242 ms 39240 KB Output is correct
67 Correct 67 ms 27064 KB Output is correct
68 Correct 147 ms 26172 KB Output is correct
69 Correct 144 ms 26468 KB Output is correct
70 Correct 125 ms 25804 KB Output is correct