oj.uz

Submission #676717

# Submission time Handle Problem Language Result Execution time Memory
676717 2022-12-31T19:53:20 Z d4xn Race (IOI11_race) C++17
100 / 100
 1034 ms 46040 KB 
#pragma GCC optimize ("Ofast")
#include "race.h"
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
 
const int N = 2e5+1;
const ll inf = LLONG_MAX;
 
int n, k, sz[N];
ll ans;
vector<pair<int, ll>> adj[N];
bitset<N> r;
 
void dfs(int u, int par) {
  sz[u] = 1;
  for (auto &[v, w] : adj[u]) {
    if (v == par || r[v]) continue;
    dfs(v, u);
    sz[u] += sz[v];
  }
}
 
int find_centroid(int u, int par, int rt) {
  for (auto &[v, w] : adj[u]) {
    if (v != par && !r[v] && sz[v] > sz[rt]/2) {
      return find_centroid(v, u, rt);
    }
  }
  return u;
}
 
void dfs2(int u, int par, ll d, ll dw, map<ll, ll> &dis) {
  if (dw > k || d >= ans) return;
  auto it = dis.find(dw);
  if (it == dis.end()) dis[dw] = d;
  else it->second = min(it->second, d);
 
  for (auto &[v, w] : adj[u]) {
    if (v == par || r[v]) continue;
    dfs2(v, u, d+1, dw+w, dis);
  }
}
 
void solve_centroid(int u) {
  map<ll, ll> mnD;
  mnD[0] = 0;
  for (auto &[v, w] : adj[u]) {
    if (r[v]) continue;
    map<ll, ll> mnD2;
    dfs2(v, u, 1, w, mnD2);
    if (mnD2.size() > mnD.size()) swap(mnD, mnD2);
 
    for (auto &[dw, d] : mnD2) {
        auto it = mnD.find(k-dw);
        if (it == mnD.end()) continue;
        ans = min(ans, d+it->second);
    }
 
    for (auto &[dw, d] : mnD2) {
        auto it = mnD.find(dw);
        if (it == mnD.end()) mnD[dw] = d;
        else it->second = min(it->second, d);
    }
  }
}
 
void dec(int u) {
  dfs(u, u);
  int ct = find_centroid(u, u, u);
  r[ct] = 1;
  solve_centroid(ct);
  for (auto &[v, w] : adj[ct]) {
    if (r[v]) continue;
    dec(v);
  }
}

int best_path(int N, int K, int H[][2], int L[]) {
  ans = inf;
  n = N;
  k = K;
  for (int i = 0; i < n-1; i++) {
    adj[H[i][0]].push_back(make_pair(H[i][1], L[i]));
    adj[H[i][1]].push_back(make_pair(H[i][0], L[i]));
  }
  dec(0);
  return (ans == inf ? -1 : ans);
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5012 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5012 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 4 ms 4948 KB Output is correct
12 Correct 3 ms 5012 KB Output is correct
13 Correct 5 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5012 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 3 ms 5008 KB Output is correct
18 Correct 3 ms 5012 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5012 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5012 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 4 ms 4948 KB Output is correct
12 Correct 3 ms 5012 KB Output is correct
13 Correct 5 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5012 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 3 ms 5008 KB Output is correct
18 Correct 3 ms 5012 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 3 ms 4948 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 3 ms 5076 KB Output is correct
24 Correct 3 ms 5076 KB Output is correct
25 Correct 5 ms 5152 KB Output is correct
26 Correct 4 ms 5044 KB Output is correct
27 Correct 3 ms 5076 KB Output is correct
28 Correct 4 ms 5024 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 4 ms 5076 KB Output is correct
31 Correct 5 ms 5076 KB Output is correct
32 Correct 5 ms 5076 KB Output is correct
33 Correct 5 ms 5076 KB Output is correct
34 Correct 4 ms 5028 KB Output is correct
35 Correct 4 ms 5076 KB Output is correct
36 Correct 4 ms 5088 KB Output is correct
37 Correct 4 ms 5144 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct

Subtask #3
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5012 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5012 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 4 ms 4948 KB Output is correct
12 Correct 3 ms 5012 KB Output is correct
13 Correct 5 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5012 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 3 ms 5008 KB Output is correct
18 Correct 3 ms 5012 KB Output is correct
19 Correct 150 ms 13032 KB Output is correct
20 Correct 158 ms 13140 KB Output is correct
21 Correct 174 ms 13044 KB Output is correct
22 Correct 162 ms 13024 KB Output is correct
23 Correct 69 ms 13492 KB Output is correct
24 Correct 61 ms 12716 KB Output is correct
25 Correct 109 ms 14376 KB Output is correct
26 Correct 84 ms 16404 KB Output is correct
27 Correct 198 ms 21764 KB Output is correct
28 Correct 268 ms 27200 KB Output is correct
29 Correct 278 ms 26648 KB Output is correct
30 Correct 200 ms 21708 KB Output is correct
31 Correct 204 ms 21824 KB Output is correct
32 Correct 239 ms 21864 KB Output is correct
33 Correct 278 ms 20372 KB Output is correct
34 Correct 166 ms 21324 KB Output is correct

Subtask #4
57.0 / 57.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 5012 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5012 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 3 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 4 ms 4948 KB Output is correct
12 Correct 3 ms 5012 KB Output is correct
13 Correct 5 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 3 ms 5012 KB Output is correct
16 Correct 4 ms 4948 KB Output is correct
17 Correct 3 ms 5008 KB Output is correct
18 Correct 3 ms 5012 KB Output is correct
19 Correct 3 ms 4948 KB Output is correct
20 Correct 3 ms 4948 KB Output is correct
21 Correct 4 ms 5120 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 3 ms 5076 KB Output is correct
24 Correct 3 ms 5076 KB Output is correct
25 Correct 5 ms 5152 KB Output is correct
26 Correct 4 ms 5044 KB Output is correct
27 Correct 3 ms 5076 KB Output is correct
28 Correct 4 ms 5024 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 4 ms 5076 KB Output is correct
31 Correct 5 ms 5076 KB Output is correct
32 Correct 5 ms 5076 KB Output is correct
33 Correct 5 ms 5076 KB Output is correct
34 Correct 4 ms 5028 KB Output is correct
35 Correct 4 ms 5076 KB Output is correct
36 Correct 4 ms 5088 KB Output is correct
37 Correct 4 ms 5144 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct
39 Correct 150 ms 13032 KB Output is correct
40 Correct 158 ms 13140 KB Output is correct
41 Correct 174 ms 13044 KB Output is correct
42 Correct 162 ms 13024 KB Output is correct
43 Correct 69 ms 13492 KB Output is correct
44 Correct 61 ms 12716 KB Output is correct
45 Correct 109 ms 14376 KB Output is correct
46 Correct 84 ms 16404 KB Output is correct
47 Correct 198 ms 21764 KB Output is correct
48 Correct 268 ms 27200 KB Output is correct
49 Correct 278 ms 26648 KB Output is correct
50 Correct 200 ms 21708 KB Output is correct
51 Correct 204 ms 21824 KB Output is correct
52 Correct 239 ms 21864 KB Output is correct
53 Correct 278 ms 20372 KB Output is correct
54 Correct 166 ms 21324 KB Output is correct
55 Correct 19 ms 6016 KB Output is correct
56 Correct 17 ms 5804 KB Output is correct
57 Correct 113 ms 13316 KB Output is correct
58 Correct 43 ms 12248 KB Output is correct
59 Correct 367 ms 24360 KB Output is correct
60 Correct 954 ms 46040 KB Output is correct
61 Correct 267 ms 22084 KB Output is correct
62 Correct 281 ms 22112 KB Output is correct
63 Correct 356 ms 22104 KB Output is correct
64 Correct 1034 ms 30840 KB Output is correct
65 Correct 236 ms 22284 KB Output is correct
66 Correct 623 ms 26312 KB Output is correct
67 Correct 137 ms 20924 KB Output is correct
68 Correct 201 ms 22348 KB Output is correct
69 Correct 202 ms 22084 KB Output is correct
70 Correct 223 ms 21552 KB Output is correct