oj.uz

Submission #676719

# Submission time Handle Problem Language Result Execution time Memory
676719 2022-12-31T19:56:03 Z d4xn Race (IOI11_race) C++17
100 / 100
 747 ms 39340 KB 
#pragma GCC optimize ("Ofast")
#include "race.h"
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define map unordered_map
 
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 4948 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 5032 KB Output is correct
7 Correct 3 ms 5028 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 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 4 ms 4948 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 5016 KB Output is correct
18 Correct 3 ms 4948 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 4948 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 5032 KB Output is correct
7 Correct 3 ms 5028 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 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 4 ms 4948 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 5016 KB Output is correct
18 Correct 3 ms 4948 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 5076 KB Output is correct
22 Correct 4 ms 5076 KB Output is correct
23 Correct 3 ms 5076 KB Output is correct
24 Correct 5 ms 5076 KB Output is correct
25 Correct 6 ms 5076 KB Output is correct
26 Correct 4 ms 5076 KB Output is correct
27 Correct 3 ms 5076 KB Output is correct
28 Correct 5 ms 5076 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 5 ms 5096 KB Output is correct
31 Correct 4 ms 5076 KB Output is correct
32 Correct 4 ms 5028 KB Output is correct
33 Correct 4 ms 5076 KB Output is correct
34 Correct 4 ms 5076 KB Output is correct
35 Correct 4 ms 5092 KB Output is correct
36 Correct 4 ms 5076 KB Output is correct
37 Correct 5 ms 5076 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 4948 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 5032 KB Output is correct
7 Correct 3 ms 5028 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 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 4 ms 4948 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 5016 KB Output is correct
18 Correct 3 ms 4948 KB Output is correct
19 Correct 143 ms 11624 KB Output is correct
20 Correct 145 ms 11736 KB Output is correct
21 Correct 136 ms 11596 KB Output is correct
22 Correct 142 ms 11824 KB Output is correct
23 Correct 78 ms 12016 KB Output is correct
24 Correct 73 ms 11276 KB Output is correct
25 Correct 124 ms 12920 KB Output is correct
26 Correct 97 ms 15180 KB Output is correct
27 Correct 206 ms 18820 KB Output is correct
28 Correct 267 ms 24200 KB Output is correct
29 Correct 262 ms 23524 KB Output is correct
30 Correct 223 ms 18760 KB Output is correct
31 Correct 223 ms 18944 KB Output is correct
32 Correct 233 ms 18860 KB Output is correct
33 Correct 277 ms 17588 KB Output is correct
34 Correct 217 ms 17596 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 4948 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 5032 KB Output is correct
7 Correct 3 ms 5028 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 3 ms 4948 KB Output is correct
12 Correct 3 ms 4948 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 4 ms 4948 KB Output is correct
15 Correct 3 ms 4948 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 5016 KB Output is correct
18 Correct 3 ms 4948 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 5076 KB Output is correct
22 Correct 4 ms 5076 KB Output is correct
23 Correct 3 ms 5076 KB Output is correct
24 Correct 5 ms 5076 KB Output is correct
25 Correct 6 ms 5076 KB Output is correct
26 Correct 4 ms 5076 KB Output is correct
27 Correct 3 ms 5076 KB Output is correct
28 Correct 5 ms 5076 KB Output is correct
29 Correct 4 ms 5076 KB Output is correct
30 Correct 5 ms 5096 KB Output is correct
31 Correct 4 ms 5076 KB Output is correct
32 Correct 4 ms 5028 KB Output is correct
33 Correct 4 ms 5076 KB Output is correct
34 Correct 4 ms 5076 KB Output is correct
35 Correct 4 ms 5092 KB Output is correct
36 Correct 4 ms 5076 KB Output is correct
37 Correct 5 ms 5076 KB Output is correct
38 Correct 4 ms 5076 KB Output is correct
39 Correct 143 ms 11624 KB Output is correct
40 Correct 145 ms 11736 KB Output is correct
41 Correct 136 ms 11596 KB Output is correct
42 Correct 142 ms 11824 KB Output is correct
43 Correct 78 ms 12016 KB Output is correct
44 Correct 73 ms 11276 KB Output is correct
45 Correct 124 ms 12920 KB Output is correct
46 Correct 97 ms 15180 KB Output is correct
47 Correct 206 ms 18820 KB Output is correct
48 Correct 267 ms 24200 KB Output is correct
49 Correct 262 ms 23524 KB Output is correct
50 Correct 223 ms 18760 KB Output is correct
51 Correct 223 ms 18944 KB Output is correct
52 Correct 233 ms 18860 KB Output is correct
53 Correct 277 ms 17588 KB Output is correct
54 Correct 217 ms 17596 KB Output is correct
55 Correct 15 ms 5844 KB Output is correct
56 Correct 15 ms 5588 KB Output is correct
57 Correct 99 ms 11980 KB Output is correct
58 Correct 47 ms 11216 KB Output is correct
59 Correct 230 ms 20364 KB Output is correct
60 Correct 747 ms 39340 KB Output is correct
61 Correct 282 ms 18932 KB Output is correct
62 Correct 268 ms 18868 KB Output is correct
63 Correct 324 ms 18948 KB Output is correct
64 Correct 668 ms 25188 KB Output is correct
65 Correct 253 ms 18420 KB Output is correct
66 Correct 623 ms 22816 KB Output is correct
67 Correct 177 ms 17632 KB Output is correct
68 Correct 231 ms 18720 KB Output is correct
69 Correct 214 ms 18328 KB Output is correct
70 Correct 214 ms 18084 KB Output is correct