oj.uz

Submission #848720

# Submission time Handle Problem Language Result Execution time Memory
848720 2023-09-13T11:09:04 Z 12345678 Race (IOI11_race) C++17
100 / 100
 311 ms 71344 KB 
#include "race.h"
#include <bits/stdc++.h>

using namespace std;

const int nx=2e5+5, kx=1e6+5;
int n, k, sz[nx], ans=INT_MAX, dp[kx];
bool used[nx];
vector<pair<int, int>> d[nx], res[nx];


int dfssz(int u, int p)
{
  sz[u]=1;
  for (auto [v, w]:d[u]) if (v!=p&&!used[v]) sz[u]+=dfssz(v, u);
  return sz[u];
}

int findcentroid(int u, int p, int rtsz)
{
  for (auto [v, w]:d[u]) if (v!=p&&!used[v]&&2*sz[v]>rtsz) return findcentroid(v, u, rtsz);
  return u; 
}

void dfs(int u, vector<pair<int, int>> &vec, int ds, int len, int p)
{
  if (ds>k) return;
  vec.push_back({ds, len});
  for (auto [v, w]:d[u]) if (v!=p&&!used[v]) dfs(v, vec, ds+w, len+1, u);
}

void decom(int u)
{
  u=findcentroid(u, -1, dfssz(u, -1));
  used[u]=1;
  for (auto [v, w]:d[u]) 
  {
    if (used[v]) continue;
    dfs(v, res[v], w, 1, u);
    for (auto [ds, len]:res[v]) ans=min(ans, len+dp[k-ds]);
    for (auto [ds, len]:res[v]) dp[ds]=min(dp[ds], len);
  }
  for (auto [v, w]:d[u])
  {
    if (used[v]) continue;
    for (auto [ds, len]:res[v]) dp[ds]=1e9;
    res[v].clear();
  }
  for (auto [v, w]:d[u]) if (!used[v]) decom(v);
}

int best_path(int N, int K, int H[][2], int L[])
{
  n=N; k=K;
  dp[0]=0;
  for (int i=1; i<=k; i++) dp[i]=1e9;
  for (int i=0; i<n-1; i++) d[H[i][0]].push_back({H[i][1], L[i]}), d[H[i][1]].push_back({H[i][0], L[i]});
  decom(0);
  return ans>=1e9?-1:ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14936 KB Output is correct
2 Correct 3 ms 14680 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 3 ms 14880 KB Output is correct
6 Correct 3 ms 14680 KB Output is correct
7 Correct 3 ms 14684 KB Output is correct
8 Correct 3 ms 14680 KB Output is correct
9 Correct 3 ms 14936 KB Output is correct
10 Correct 3 ms 14684 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 3 ms 14680 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 2 ms 14680 KB Output is correct
16 Correct 3 ms 14680 KB Output is correct
17 Correct 3 ms 14680 KB Output is correct
18 Correct 3 ms 14680 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14936 KB Output is correct
2 Correct 3 ms 14680 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 3 ms 14880 KB Output is correct
6 Correct 3 ms 14680 KB Output is correct
7 Correct 3 ms 14684 KB Output is correct
8 Correct 3 ms 14680 KB Output is correct
9 Correct 3 ms 14936 KB Output is correct
10 Correct 3 ms 14684 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 3 ms 14680 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 2 ms 14680 KB Output is correct
16 Correct 3 ms 14680 KB Output is correct
17 Correct 3 ms 14680 KB Output is correct
18 Correct 3 ms 14680 KB Output is correct
19 Correct 2 ms 14680 KB Output is correct
20 Correct 2 ms 14684 KB Output is correct
21 Correct 3 ms 14680 KB Output is correct
22 Correct 4 ms 17240 KB Output is correct
23 Correct 4 ms 16728 KB Output is correct
24 Correct 5 ms 16984 KB Output is correct
25 Correct 4 ms 16988 KB Output is correct
26 Correct 3 ms 16732 KB Output is correct
27 Correct 4 ms 16728 KB Output is correct
28 Correct 3 ms 14680 KB Output is correct
29 Correct 3 ms 16732 KB Output is correct
30 Correct 3 ms 16728 KB Output is correct
31 Correct 4 ms 16728 KB Output is correct
32 Correct 4 ms 16984 KB Output is correct
33 Correct 4 ms 16728 KB Output is correct
34 Correct 4 ms 16728 KB Output is correct
35 Correct 4 ms 16728 KB Output is correct
36 Correct 4 ms 17240 KB Output is correct
37 Correct 4 ms 16984 KB Output is correct
38 Correct 4 ms 16732 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14936 KB Output is correct
2 Correct 3 ms 14680 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 3 ms 14880 KB Output is correct
6 Correct 3 ms 14680 KB Output is correct
7 Correct 3 ms 14684 KB Output is correct
8 Correct 3 ms 14680 KB Output is correct
9 Correct 3 ms 14936 KB Output is correct
10 Correct 3 ms 14684 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 3 ms 14680 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 2 ms 14680 KB Output is correct
16 Correct 3 ms 14680 KB Output is correct
17 Correct 3 ms 14680 KB Output is correct
18 Correct 3 ms 14680 KB Output is correct
19 Correct 106 ms 29264 KB Output is correct
20 Correct 100 ms 29244 KB Output is correct
21 Correct 99 ms 30412 KB Output is correct
22 Correct 87 ms 29412 KB Output is correct
23 Correct 55 ms 25168 KB Output is correct
24 Correct 47 ms 25168 KB Output is correct
25 Correct 93 ms 34832 KB Output is correct
26 Correct 96 ms 42060 KB Output is correct
27 Correct 130 ms 33672 KB Output is correct
28 Correct 188 ms 41520 KB Output is correct
29 Correct 194 ms 40528 KB Output is correct
30 Correct 146 ms 33872 KB Output is correct
31 Correct 119 ms 33884 KB Output is correct
32 Correct 141 ms 32848 KB Output is correct
33 Correct 181 ms 40004 KB Output is correct
34 Correct 107 ms 24908 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 14936 KB Output is correct
2 Correct 3 ms 14680 KB Output is correct
3 Correct 2 ms 14680 KB Output is correct
4 Correct 2 ms 14680 KB Output is correct
5 Correct 3 ms 14880 KB Output is correct
6 Correct 3 ms 14680 KB Output is correct
7 Correct 3 ms 14684 KB Output is correct
8 Correct 3 ms 14680 KB Output is correct
9 Correct 3 ms 14936 KB Output is correct
10 Correct 3 ms 14684 KB Output is correct
11 Correct 3 ms 14680 KB Output is correct
12 Correct 2 ms 14684 KB Output is correct
13 Correct 3 ms 14680 KB Output is correct
14 Correct 3 ms 14684 KB Output is correct
15 Correct 2 ms 14680 KB Output is correct
16 Correct 3 ms 14680 KB Output is correct
17 Correct 3 ms 14680 KB Output is correct
18 Correct 3 ms 14680 KB Output is correct
19 Correct 2 ms 14680 KB Output is correct
20 Correct 2 ms 14684 KB Output is correct
21 Correct 3 ms 14680 KB Output is correct
22 Correct 4 ms 17240 KB Output is correct
23 Correct 4 ms 16728 KB Output is correct
24 Correct 5 ms 16984 KB Output is correct
25 Correct 4 ms 16988 KB Output is correct
26 Correct 3 ms 16732 KB Output is correct
27 Correct 4 ms 16728 KB Output is correct
28 Correct 3 ms 14680 KB Output is correct
29 Correct 3 ms 16732 KB Output is correct
30 Correct 3 ms 16728 KB Output is correct
31 Correct 4 ms 16728 KB Output is correct
32 Correct 4 ms 16984 KB Output is correct
33 Correct 4 ms 16728 KB Output is correct
34 Correct 4 ms 16728 KB Output is correct
35 Correct 4 ms 16728 KB Output is correct
36 Correct 4 ms 17240 KB Output is correct
37 Correct 4 ms 16984 KB Output is correct
38 Correct 4 ms 16732 KB Output is correct
39 Correct 106 ms 29264 KB Output is correct
40 Correct 100 ms 29244 KB Output is correct
41 Correct 99 ms 30412 KB Output is correct
42 Correct 87 ms 29412 KB Output is correct
43 Correct 55 ms 25168 KB Output is correct
44 Correct 47 ms 25168 KB Output is correct
45 Correct 93 ms 34832 KB Output is correct
46 Correct 96 ms 42060 KB Output is correct
47 Correct 130 ms 33672 KB Output is correct
48 Correct 188 ms 41520 KB Output is correct
49 Correct 194 ms 40528 KB Output is correct
50 Correct 146 ms 33872 KB Output is correct
51 Correct 119 ms 33884 KB Output is correct
52 Correct 141 ms 32848 KB Output is correct
53 Correct 181 ms 40004 KB Output is correct
54 Correct 107 ms 24908 KB Output is correct
55 Correct 11 ms 15960 KB Output is correct
56 Correct 11 ms 15960 KB Output is correct
57 Correct 68 ms 34504 KB Output is correct
58 Correct 33 ms 24516 KB Output is correct
59 Correct 90 ms 42000 KB Output is correct
60 Correct 311 ms 71344 KB Output is correct
61 Correct 151 ms 37072 KB Output is correct
62 Correct 140 ms 42608 KB Output is correct
63 Correct 177 ms 42576 KB Output is correct
64 Correct 275 ms 49992 KB Output is correct
65 Correct 143 ms 26224 KB Output is correct
66 Correct 305 ms 60680 KB Output is correct
67 Correct 90 ms 35264 KB Output is correct
68 Correct 169 ms 40632 KB Output is correct
69 Correct 168 ms 40784 KB Output is correct
70 Correct 180 ms 39536 KB Output is correct