oj.uz

Submission #920203

# Submission time Handle Problem Language Result Execution time Memory
920203 2024-02-02T09:09:06 Z Arp Race (IOI11_race) C++17
100 / 100
 374 ms 49344 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<pair<i64,int>> ad;
vector<int> rem;
void dfs(int u,int p){
  vector<vector<pair<i64,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.emplace_back(dist[v],depth[v]);
    dfs(v,u);
    if(p == -1){
      all.push_back(ad);
      ad.clear();
    }
  }
  if(p != -1) return;
  for(auto &vec : all){
    for(auto [w,d] : vec){
      if(w <= k){
        ans = min(ans,d + md[k - w]);
      } 
    }
    for(auto [w,d] : vec){
      if(k < w) continue;
      md[w] = min(md[w],d);
      rem.push_back(w);
    }
  }
}
 
// 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 3 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13912 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13912 KB Output is correct
9 Correct 4 ms 13912 KB Output is correct
10 Correct 4 ms 13912 KB Output is correct
11 Correct 3 ms 13916 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 13912 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 4 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 3 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13912 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13912 KB Output is correct
9 Correct 4 ms 13912 KB Output is correct
10 Correct 4 ms 13912 KB Output is correct
11 Correct 3 ms 13916 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 13912 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 4 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 13912 KB Output is correct
21 Correct 4 ms 13912 KB Output is correct
22 Correct 5 ms 15960 KB Output is correct
23 Correct 5 ms 15960 KB Output is correct
24 Correct 5 ms 15964 KB Output is correct
25 Correct 4 ms 15960 KB Output is correct
26 Correct 4 ms 15960 KB Output is correct
27 Correct 5 ms 15960 KB Output is correct
28 Correct 4 ms 15960 KB Output is correct
29 Correct 4 ms 15964 KB Output is correct
30 Correct 4 ms 15960 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 4 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 15964 KB Output is correct
38 Correct 4 ms 15960 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13912 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13912 KB Output is correct
9 Correct 4 ms 13912 KB Output is correct
10 Correct 4 ms 13912 KB Output is correct
11 Correct 3 ms 13916 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 13912 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 4 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 89 ms 23496 KB Output is correct
20 Correct 88 ms 23496 KB Output is correct
21 Correct 85 ms 23752 KB Output is correct
22 Correct 76 ms 24272 KB Output is correct
23 Correct 75 ms 23432 KB Output is correct
24 Correct 51 ms 23244 KB Output is correct
25 Correct 114 ms 30928 KB Output is correct
26 Correct 81 ms 31692 KB Output is correct
27 Correct 140 ms 29892 KB Output is correct
28 Correct 301 ms 46012 KB Output is correct
29 Correct 327 ms 46012 KB Output is correct
30 Correct 127 ms 29776 KB Output is correct
31 Correct 137 ms 29776 KB Output is correct
32 Correct 179 ms 29744 KB Output is correct
33 Correct 193 ms 30248 KB Output is correct
34 Correct 197 ms 30720 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13912 KB Output is correct
2 Correct 3 ms 13912 KB Output is correct
3 Correct 3 ms 13912 KB Output is correct
4 Correct 3 ms 13916 KB Output is correct
5 Correct 3 ms 13912 KB Output is correct
6 Correct 3 ms 13916 KB Output is correct
7 Correct 3 ms 13912 KB Output is correct
8 Correct 3 ms 13912 KB Output is correct
9 Correct 4 ms 13912 KB Output is correct
10 Correct 4 ms 13912 KB Output is correct
11 Correct 3 ms 13916 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 13912 KB Output is correct
15 Correct 3 ms 13912 KB Output is correct
16 Correct 4 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 13912 KB Output is correct
21 Correct 4 ms 13912 KB Output is correct
22 Correct 5 ms 15960 KB Output is correct
23 Correct 5 ms 15960 KB Output is correct
24 Correct 5 ms 15964 KB Output is correct
25 Correct 4 ms 15960 KB Output is correct
26 Correct 4 ms 15960 KB Output is correct
27 Correct 5 ms 15960 KB Output is correct
28 Correct 4 ms 15960 KB Output is correct
29 Correct 4 ms 15964 KB Output is correct
30 Correct 4 ms 15960 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 4 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 15964 KB Output is correct
38 Correct 4 ms 15960 KB Output is correct
39 Correct 89 ms 23496 KB Output is correct
40 Correct 88 ms 23496 KB Output is correct
41 Correct 85 ms 23752 KB Output is correct
42 Correct 76 ms 24272 KB Output is correct
43 Correct 75 ms 23432 KB Output is correct
44 Correct 51 ms 23244 KB Output is correct
45 Correct 114 ms 30928 KB Output is correct
46 Correct 81 ms 31692 KB Output is correct
47 Correct 140 ms 29892 KB Output is correct
48 Correct 301 ms 46012 KB Output is correct
49 Correct 327 ms 46012 KB Output is correct
50 Correct 127 ms 29776 KB Output is correct
51 Correct 137 ms 29776 KB Output is correct
52 Correct 179 ms 29744 KB Output is correct
53 Correct 193 ms 30248 KB Output is correct
54 Correct 197 ms 30720 KB Output is correct
55 Correct 10 ms 14680 KB Output is correct
56 Correct 9 ms 14684 KB Output is correct
57 Correct 64 ms 24264 KB Output is correct
58 Correct 36 ms 28092 KB Output is correct
59 Correct 80 ms 31692 KB Output is correct
60 Correct 342 ms 49344 KB Output is correct
61 Correct 145 ms 30288 KB Output is correct
62 Correct 141 ms 32968 KB Output is correct
63 Correct 186 ms 32896 KB Output is correct
64 Correct 321 ms 35392 KB Output is correct
65 Correct 257 ms 31876 KB Output is correct
66 Correct 374 ms 48660 KB Output is correct
67 Correct 114 ms 43444 KB Output is correct
68 Correct 217 ms 35016 KB Output is correct
69 Correct 204 ms 35312 KB Output is correct
70 Correct 192 ms 34372 KB Output is correct