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Submission #788711

# Submission time Handle Problem Language Result Execution time Memory
788711 2023-07-20T14:08:52 Z vjudge1 Race (IOI11_race) C++17
100 / 100
 428 ms 104700 KB 
#include "bits/stdc++.h"

using namespace std;

#define ll long long
#define ii pair<int,int>
const int ms = 2e5 + 10;


ll h[ms], dis[ms], ans, k, n;
vector<ii> g[ms];
map<ll, ll > mp[ms];


void dfs(int u=0, int p=-1, ll d=0, int height =0){
  mp[u][d]= height;
  h[u] = height;
  dis[u] = d;
  for(auto [v, w] : g[u]){
    if(v == p) continue;
    dfs(v, u, d+w, height+1);
  }
}

void sack(int u=0, int p=-1){
  // dis[u] + target = k
  // x + y - (2 * dis[u]) = k
  // x + y = 2*dis[u] + k
  // y = 2*dis[u] + k - x

  for(auto [v, w] : g[u]){
    if(v == p) continue;
    sack(v, u);
    if(mp[v].size() > mp[u].size()) mp[u].swap(mp[v]);
    for(auto [x, y] : mp[v]){
      if(mp[u].find(2ll*dis[u] + k - x) != mp[u].end()){
        ll now = y + mp[u][2*dis[u] + k - x] - 2*h[u];
        if(ans == -1  || ans > now) ans = now;
      }
    }

    for(auto [x, y] : mp[v]){
      if(mp[u].find(x) != mp[u].end()){
        mp[u][x] = min(mp[u][x], y);
      }
      else mp[u][x] = y;
    }
  }
}

int best_path(int N, int K, int H[][2], int L[]){
  k = K;
  n = N;
  for(int i=0; i<n-1; i++){
    g[H[i][0]].push_back({H[i][1], L[i]});
    g[H[i][1]].push_back({H[i][0], L[i]});
  }

  ans = -1;
  dfs();
  sack();
  return ans;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 7 ms 14404 KB Output is correct
3 Correct 7 ms 14408 KB Output is correct
4 Correct 7 ms 14408 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14408 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 7 ms 14456 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 6 ms 14420 KB Output is correct
12 Correct 6 ms 14332 KB Output is correct
13 Correct 7 ms 14380 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 6 ms 14420 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 7 ms 14404 KB Output is correct
3 Correct 7 ms 14408 KB Output is correct
4 Correct 7 ms 14408 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14408 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 7 ms 14456 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 6 ms 14420 KB Output is correct
12 Correct 6 ms 14332 KB Output is correct
13 Correct 7 ms 14380 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 6 ms 14420 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 7 ms 14404 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 7 ms 14676 KB Output is correct
22 Correct 8 ms 14644 KB Output is correct
23 Correct 7 ms 14676 KB Output is correct
24 Correct 7 ms 14676 KB Output is correct
25 Correct 7 ms 14676 KB Output is correct
26 Correct 7 ms 14672 KB Output is correct
27 Correct 7 ms 14548 KB Output is correct
28 Correct 8 ms 14676 KB Output is correct
29 Correct 8 ms 14676 KB Output is correct
30 Correct 8 ms 14620 KB Output is correct
31 Correct 8 ms 14676 KB Output is correct
32 Correct 8 ms 14676 KB Output is correct
33 Correct 9 ms 14676 KB Output is correct
34 Correct 8 ms 14676 KB Output is correct
35 Correct 7 ms 14676 KB Output is correct
36 Correct 7 ms 14676 KB Output is correct
37 Correct 8 ms 14548 KB Output is correct
38 Correct 8 ms 14672 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 7 ms 14404 KB Output is correct
3 Correct 7 ms 14408 KB Output is correct
4 Correct 7 ms 14408 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14408 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 7 ms 14456 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 6 ms 14420 KB Output is correct
12 Correct 6 ms 14332 KB Output is correct
13 Correct 7 ms 14380 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 6 ms 14420 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 106 ms 37692 KB Output is correct
20 Correct 140 ms 37688 KB Output is correct
21 Correct 117 ms 37472 KB Output is correct
22 Correct 133 ms 37168 KB Output is correct
23 Correct 150 ms 49832 KB Output is correct
24 Correct 109 ms 40484 KB Output is correct
25 Correct 95 ms 38336 KB Output is correct
26 Correct 56 ms 46652 KB Output is correct
27 Correct 166 ms 49356 KB Output is correct
28 Correct 283 ms 91732 KB Output is correct
29 Correct 285 ms 89828 KB Output is correct
30 Correct 160 ms 49444 KB Output is correct
31 Correct 165 ms 49444 KB Output is correct
32 Correct 239 ms 49540 KB Output is correct
33 Correct 241 ms 54536 KB Output is correct
34 Correct 321 ms 87312 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 14420 KB Output is correct
2 Correct 7 ms 14404 KB Output is correct
3 Correct 7 ms 14408 KB Output is correct
4 Correct 7 ms 14408 KB Output is correct
5 Correct 8 ms 14420 KB Output is correct
6 Correct 6 ms 14420 KB Output is correct
7 Correct 7 ms 14408 KB Output is correct
8 Correct 7 ms 14420 KB Output is correct
9 Correct 7 ms 14456 KB Output is correct
10 Correct 7 ms 14420 KB Output is correct
11 Correct 6 ms 14420 KB Output is correct
12 Correct 6 ms 14332 KB Output is correct
13 Correct 7 ms 14380 KB Output is correct
14 Correct 6 ms 14420 KB Output is correct
15 Correct 6 ms 14420 KB Output is correct
16 Correct 7 ms 14340 KB Output is correct
17 Correct 7 ms 14420 KB Output is correct
18 Correct 7 ms 14420 KB Output is correct
19 Correct 7 ms 14404 KB Output is correct
20 Correct 7 ms 14420 KB Output is correct
21 Correct 7 ms 14676 KB Output is correct
22 Correct 8 ms 14644 KB Output is correct
23 Correct 7 ms 14676 KB Output is correct
24 Correct 7 ms 14676 KB Output is correct
25 Correct 7 ms 14676 KB Output is correct
26 Correct 7 ms 14672 KB Output is correct
27 Correct 7 ms 14548 KB Output is correct
28 Correct 8 ms 14676 KB Output is correct
29 Correct 8 ms 14676 KB Output is correct
30 Correct 8 ms 14620 KB Output is correct
31 Correct 8 ms 14676 KB Output is correct
32 Correct 8 ms 14676 KB Output is correct
33 Correct 9 ms 14676 KB Output is correct
34 Correct 8 ms 14676 KB Output is correct
35 Correct 7 ms 14676 KB Output is correct
36 Correct 7 ms 14676 KB Output is correct
37 Correct 8 ms 14548 KB Output is correct
38 Correct 8 ms 14672 KB Output is correct
39 Correct 106 ms 37692 KB Output is correct
40 Correct 140 ms 37688 KB Output is correct
41 Correct 117 ms 37472 KB Output is correct
42 Correct 133 ms 37168 KB Output is correct
43 Correct 150 ms 49832 KB Output is correct
44 Correct 109 ms 40484 KB Output is correct
45 Correct 95 ms 38336 KB Output is correct
46 Correct 56 ms 46652 KB Output is correct
47 Correct 166 ms 49356 KB Output is correct
48 Correct 283 ms 91732 KB Output is correct
49 Correct 285 ms 89828 KB Output is correct
50 Correct 160 ms 49444 KB Output is correct
51 Correct 165 ms 49444 KB Output is correct
52 Correct 239 ms 49540 KB Output is correct
53 Correct 241 ms 54536 KB Output is correct
54 Correct 321 ms 87312 KB Output is correct
55 Correct 18 ms 17748 KB Output is correct
56 Correct 13 ms 16340 KB Output is correct
57 Correct 59 ms 35068 KB Output is correct
58 Correct 46 ms 28400 KB Output is correct
59 Correct 78 ms 52920 KB Output is correct
60 Correct 249 ms 90332 KB Output is correct
61 Correct 186 ms 52892 KB Output is correct
62 Correct 175 ms 49456 KB Output is correct
63 Correct 242 ms 49472 KB Output is correct
64 Correct 428 ms 104700 KB Output is correct
65 Correct 402 ms 102724 KB Output is correct
66 Correct 268 ms 85872 KB Output is correct
67 Correct 153 ms 43916 KB Output is correct
68 Correct 326 ms 66440 KB Output is correct
69 Correct 382 ms 71568 KB Output is correct
70 Correct 319 ms 64324 KB Output is correct