oj.uz

Submission #920205

# Submission time Handle Problem Language Result Execution time Memory
920205 2024-02-02T09:16:02 Z Arp Race (IOI11_race) C++17
100 / 100
 341 ms 43540 KB 
#include<bits/stdc++.h>
using namespace std;

using i64 = long long;
const int N = 2e5 + 5;
const int K = 1e6;
vector<pair<int,int>> adj[N];
int sz[N];
int depth[N];
int md[K + 1];
i64 dist[N];
bool vis[N];
 
int k;
int ans = N + 1;
 
void find_size(int u,int p){
  sz[u] = 1;
  for(auto [v,w] : adj[u]){
    if(vis[v] || v == p) continue;
    find_size(v,u);
    sz[u] += sz[v];
  }
}
 
// Find Centeroid of the subtree of u
int findC(int u,int p,int S){
  for(auto [v,w] : adj[u]){
    if(vis[v] || v == p) continue;
    if(sz[v] > S / 2){
      return findC(v,u,S);
    }  
  }
  return u;
}
 
vector<int> ad;
vector<int> rem;
void dfs(int u,int p){
  vector<vector<int>> all;
  for(auto [v,w] : adj[u]){
    if(v == p || vis[v]) continue;
    depth[v] = depth[u] + 1;
    dist[v] = dist[u] + w;
    ad.push_back(v);
    dfs(v,u);
    if(p == -1){
      all.push_back(ad);
      ad.clear();
    }
  }
  if(p != -1) return;
  for(auto &vec : all){
    for(auto &v: vec){
      if(dist[v] <= k){
        ans = min(ans,depth[v] + md[k - dist[v]]);
      } 
    }
    for(auto &v : vec){
      if(k < dist[v]) continue;
      md[dist[v]] = min(md[dist[v]],depth[v]);
      rem.push_back(dist[v]);
    }
  }
}
 
// Initialize the subtree of u based on the array vis
void init(int u,int p){
  find_size(u,p);
  int C = findC(u,p,sz[u]);
  vis[C] = true;
  ad.clear();
  depth[C] = 0;
  dist[C] = 0;
  md[0] = 0;
  for(int &w : rem){
    md[w] = N + 1;
  }
  rem.clear();
  dfs(C,-1);  
  for(auto [v,w] : adj[C]){
    if(vis[v]) continue;
    init(v,C);
  } 
}

int best_path(int n,int K,int H[][2],int L[]){
  for(int i = 0;i<N;i++){
    vis[i] = false;
  }
  for(int i = 0;i <= K;i++){
    md[i] = N + 1;
  }
  for(int i = 0;i<n - 1;i++){
    adj[H[i][0]].emplace_back(H[i][1],L[i]);
    adj[H[i][1]].emplace_back(H[i][0],L[i]);
  }
  k = K;
  init(0,-1);
  return (ans > n ? -1 : ans);
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 4 ms 14112 KB Output is correct
4 Correct 3 ms 13912 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13912 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 4 ms 13904 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13912 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13912 KB Output is correct
14 Correct 3 ms 13916 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 3 ms 13912 KB Output is correct
18 Correct 3 ms 13912 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 4 ms 14112 KB Output is correct
4 Correct 3 ms 13912 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13912 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 4 ms 13904 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13912 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13912 KB Output is correct
14 Correct 3 ms 13916 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 3 ms 13912 KB Output is correct
18 Correct 3 ms 13912 KB Output is correct
19 Correct 3 ms 13912 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 4 ms 16216 KB Output is correct
23 Correct 4 ms 15960 KB Output is correct
24 Correct 4 ms 15964 KB Output is correct
25 Correct 5 ms 15964 KB Output is correct
26 Correct 4 ms 15964 KB Output is correct
27 Correct 4 ms 15960 KB Output is correct
28 Correct 4 ms 15964 KB Output is correct
29 Correct 4 ms 15960 KB Output is correct
30 Correct 4 ms 15964 KB Output is correct
31 Correct 4 ms 15960 KB Output is correct
32 Correct 4 ms 15960 KB Output is correct
33 Correct 4 ms 15960 KB Output is correct
34 Correct 5 ms 15964 KB Output is correct
35 Correct 4 ms 15960 KB Output is correct
36 Correct 4 ms 15960 KB Output is correct
37 Correct 4 ms 15960 KB Output is correct
38 Correct 4 ms 15964 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 4 ms 14112 KB Output is correct
4 Correct 3 ms 13912 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13912 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 4 ms 13904 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13912 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13912 KB Output is correct
14 Correct 3 ms 13916 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 3 ms 13912 KB Output is correct
18 Correct 3 ms 13912 KB Output is correct
19 Correct 87 ms 21456 KB Output is correct
20 Correct 86 ms 21584 KB Output is correct
21 Correct 85 ms 21712 KB Output is correct
22 Correct 76 ms 22192 KB Output is correct
23 Correct 70 ms 21456 KB Output is correct
24 Correct 47 ms 21328 KB Output is correct
25 Correct 106 ms 27868 KB Output is correct
26 Correct 78 ms 29264 KB Output is correct
27 Correct 138 ms 26252 KB Output is correct
28 Correct 289 ms 40904 KB Output is correct
29 Correct 298 ms 39812 KB Output is correct
30 Correct 127 ms 26192 KB Output is correct
31 Correct 132 ms 26420 KB Output is correct
32 Correct 148 ms 26332 KB Output is correct
33 Correct 170 ms 25748 KB Output is correct
34 Correct 172 ms 25580 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 4 ms 14112 KB Output is correct
4 Correct 3 ms 13912 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13912 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13916 KB Output is correct
9 Correct 4 ms 13904 KB Output is correct
10 Correct 3 ms 13912 KB Output is correct
11 Correct 3 ms 13912 KB Output is correct
12 Correct 3 ms 13916 KB Output is correct
13 Correct 3 ms 13912 KB Output is correct
14 Correct 3 ms 13916 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 3 ms 13916 KB Output is correct
17 Correct 3 ms 13912 KB Output is correct
18 Correct 3 ms 13912 KB Output is correct
19 Correct 3 ms 13912 KB Output is correct
20 Correct 3 ms 13916 KB Output is correct
21 Correct 3 ms 13916 KB Output is correct
22 Correct 4 ms 16216 KB Output is correct
23 Correct 4 ms 15960 KB Output is correct
24 Correct 4 ms 15964 KB Output is correct
25 Correct 5 ms 15964 KB Output is correct
26 Correct 4 ms 15964 KB Output is correct
27 Correct 4 ms 15960 KB Output is correct
28 Correct 4 ms 15964 KB Output is correct
29 Correct 4 ms 15960 KB Output is correct
30 Correct 4 ms 15964 KB Output is correct
31 Correct 4 ms 15960 KB Output is correct
32 Correct 4 ms 15960 KB Output is correct
33 Correct 4 ms 15960 KB Output is correct
34 Correct 5 ms 15964 KB Output is correct
35 Correct 4 ms 15960 KB Output is correct
36 Correct 4 ms 15960 KB Output is correct
37 Correct 4 ms 15960 KB Output is correct
38 Correct 4 ms 15964 KB Output is correct
39 Correct 87 ms 21456 KB Output is correct
40 Correct 86 ms 21584 KB Output is correct
41 Correct 85 ms 21712 KB Output is correct
42 Correct 76 ms 22192 KB Output is correct
43 Correct 70 ms 21456 KB Output is correct
44 Correct 47 ms 21328 KB Output is correct
45 Correct 106 ms 27868 KB Output is correct
46 Correct 78 ms 29264 KB Output is correct
47 Correct 138 ms 26252 KB Output is correct
48 Correct 289 ms 40904 KB Output is correct
49 Correct 298 ms 39812 KB Output is correct
50 Correct 127 ms 26192 KB Output is correct
51 Correct 132 ms 26420 KB Output is correct
52 Correct 148 ms 26332 KB Output is correct
53 Correct 170 ms 25748 KB Output is correct
54 Correct 172 ms 25580 KB Output is correct
55 Correct 9 ms 14424 KB Output is correct
56 Correct 11 ms 14936 KB Output is correct
57 Correct 61 ms 22092 KB Output is correct
58 Correct 36 ms 27136 KB Output is correct
59 Correct 80 ms 29372 KB Output is correct
60 Correct 322 ms 43540 KB Output is correct
61 Correct 131 ms 26656 KB Output is correct
62 Correct 127 ms 29392 KB Output is correct
63 Correct 169 ms 29376 KB Output is correct
64 Correct 283 ms 29768 KB Output is correct
65 Correct 191 ms 27084 KB Output is correct
66 Correct 341 ms 41672 KB Output is correct
67 Correct 120 ms 40628 KB Output is correct
68 Correct 208 ms 29852 KB Output is correct
69 Correct 176 ms 30100 KB Output is correct
70 Correct 163 ms 29592 KB Output is correct