Submission #1104434

# Submission time Handle Problem Language Result Execution time Memory
1104434 2024-10-23T18:53:36 Z M_W_13 Race (IOI11_race) C++17
100 / 100
210 ms 48628 KB
#include <bits/stdc++.h>
#include "race.h"

using namespace std;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (n); i++)
int n, k;
const int INF = 1e9;
const int MAXN = 2e5 + 7;
vector<pair<int, int>> graf[MAXN];
int ile_pod[MAXN];
bool czy_centroid[MAXN];
const int MAXK = 1e6 + 2;
int ans = INF;
int jaka[MAXK];
int depth[MAXN];
queue<pair<int, int>> jakie;
queue<int> cofnij;

void dfs(int v, int last, int dl) {
  // cout << "v = " << v << " dl = " << dl << '\n';
  depth[v] = depth[last] + 1;
  ile_pod[v] = 0;
  dl = min(dl, k + 1);
  if (dl <= k) {
    // cout << "XX" << '\n';
    ans = min(ans, jaka[k - dl] + depth[v] - 1);
    jakie.push({dl, depth[v] - 1});
    cofnij.push(dl);
  }
  for (auto syn: graf[v]) {
    if (syn.first == last || czy_centroid[syn.first]) {
      continue;
    }
    dfs(syn.first, v, dl + syn.second);
    ile_pod[v] += (ile_pod[syn.first] + 1);
    if (depth[v] == 1) {
      // cout << "POC" << '\n';
      while (!jakie.empty()) {
        int a = jakie.front().first;
        int b = jakie.front().second;
        jaka[a] = min(jaka[a], b);
        // cout << "v = " << v << " a = " << a << " b = " << b << '\n';
        jakie.pop();
      }
      // cout << "KON" << '\n';
    }
  }
}

int find_centroid(int v, int last, int sz) {
  int w = v;
  for (auto syn: graf[v]) {
    if (syn.first == last || czy_centroid[syn.first]) {
      continue;
    }
    // cout << "syn = " << syn.first << " ilepod = " << ile_pod[syn.first] << " size = " << sz << '\n';
    if (ile_pod[syn.first] + 1 >= (sz/2)) {
      w = find_centroid(syn.first, v, sz);
    }
  }
  return w;
}

void centroid_decomposition(int v, int sz) {
  int centre = find_centroid(v, v, sz);
  depth[centre] = 0;
  // cout << "centre = " << centre << '\n';
  czy_centroid[centre] = true;
  jaka[0] = 0;
  dfs(centre, centre, 0);
  while (!cofnij.empty()) {
    // cout << "x = " << cofnij.front() << '\n';
    jaka[cofnij.front()] = INF;
    cofnij.pop();
  }
  for (auto syn: graf[centre]) {
    if (czy_centroid[syn.first]) {
      continue;
    }
    centroid_decomposition(syn.first, ile_pod[syn.first] + 1);
  }
}


int best_path(int pom1, int pom2, int H[][2], int L[])
{
  n = pom1;
  k = pom2;
  rep(i, k + 1) {
    jaka[i] = INF;
  }
  rep(i, n - 1) {
    int a = H[i][0];
    int b = H[i][1];
    int waga = L[i];
    graf[a].push_back({b, waga});
    graf[b].push_back({a, waga});
  }
  dfs(0, 0, 0);
  while (!cofnij.empty()) {
    jaka[cofnij.front()] = INF;
    cofnij.pop();
  }
  centroid_decomposition(0, n);
  if (ans >= INF) {
    return -1;
  }
  return ans;
}

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12368 KB Output is correct
2 Correct 3 ms 12368 KB Output is correct
3 Correct 3 ms 12380 KB Output is correct
4 Correct 3 ms 12368 KB Output is correct
5 Correct 3 ms 12404 KB Output is correct
6 Correct 3 ms 12368 KB Output is correct
7 Correct 3 ms 12368 KB Output is correct
8 Correct 3 ms 12368 KB Output is correct
9 Correct 3 ms 12368 KB Output is correct
10 Correct 3 ms 12368 KB Output is correct
11 Correct 3 ms 12368 KB Output is correct
12 Correct 4 ms 12368 KB Output is correct
13 Correct 3 ms 12368 KB Output is correct
14 Correct 3 ms 12404 KB Output is correct
15 Correct 3 ms 12384 KB Output is correct
16 Correct 4 ms 12364 KB Output is correct
17 Correct 4 ms 12368 KB Output is correct
18 Correct 3 ms 12368 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12368 KB Output is correct
2 Correct 3 ms 12368 KB Output is correct
3 Correct 3 ms 12380 KB Output is correct
4 Correct 3 ms 12368 KB Output is correct
5 Correct 3 ms 12404 KB Output is correct
6 Correct 3 ms 12368 KB Output is correct
7 Correct 3 ms 12368 KB Output is correct
8 Correct 3 ms 12368 KB Output is correct
9 Correct 3 ms 12368 KB Output is correct
10 Correct 3 ms 12368 KB Output is correct
11 Correct 3 ms 12368 KB Output is correct
12 Correct 4 ms 12368 KB Output is correct
13 Correct 3 ms 12368 KB Output is correct
14 Correct 3 ms 12404 KB Output is correct
15 Correct 3 ms 12384 KB Output is correct
16 Correct 4 ms 12364 KB Output is correct
17 Correct 4 ms 12368 KB Output is correct
18 Correct 3 ms 12368 KB Output is correct
19 Correct 3 ms 12368 KB Output is correct
20 Correct 4 ms 12476 KB Output is correct
21 Correct 4 ms 12368 KB Output is correct
22 Correct 4 ms 14416 KB Output is correct
23 Correct 4 ms 14416 KB Output is correct
24 Correct 5 ms 14416 KB Output is correct
25 Correct 3 ms 14460 KB Output is correct
26 Correct 4 ms 12536 KB Output is correct
27 Correct 4 ms 14416 KB Output is correct
28 Correct 4 ms 12368 KB Output is correct
29 Correct 4 ms 12424 KB Output is correct
30 Correct 4 ms 12368 KB Output is correct
31 Correct 4 ms 14416 KB Output is correct
32 Correct 4 ms 14428 KB Output is correct
33 Correct 4 ms 14416 KB Output is correct
34 Correct 4 ms 14416 KB Output is correct
35 Correct 4 ms 14416 KB Output is correct
36 Correct 4 ms 14416 KB Output is correct
37 Correct 4 ms 14416 KB Output is correct
38 Correct 4 ms 14416 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12368 KB Output is correct
2 Correct 3 ms 12368 KB Output is correct
3 Correct 3 ms 12380 KB Output is correct
4 Correct 3 ms 12368 KB Output is correct
5 Correct 3 ms 12404 KB Output is correct
6 Correct 3 ms 12368 KB Output is correct
7 Correct 3 ms 12368 KB Output is correct
8 Correct 3 ms 12368 KB Output is correct
9 Correct 3 ms 12368 KB Output is correct
10 Correct 3 ms 12368 KB Output is correct
11 Correct 3 ms 12368 KB Output is correct
12 Correct 4 ms 12368 KB Output is correct
13 Correct 3 ms 12368 KB Output is correct
14 Correct 3 ms 12404 KB Output is correct
15 Correct 3 ms 12384 KB Output is correct
16 Correct 4 ms 12364 KB Output is correct
17 Correct 4 ms 12368 KB Output is correct
18 Correct 3 ms 12368 KB Output is correct
19 Correct 64 ms 19528 KB Output is correct
20 Correct 65 ms 19684 KB Output is correct
21 Correct 70 ms 19724 KB Output is correct
22 Correct 66 ms 20040 KB Output is correct
23 Correct 49 ms 19988 KB Output is correct
24 Correct 41 ms 19980 KB Output is correct
25 Correct 85 ms 24648 KB Output is correct
26 Correct 66 ms 30816 KB Output is correct
27 Correct 97 ms 24968 KB Output is correct
28 Correct 200 ms 45576 KB Output is correct
29 Correct 195 ms 44104 KB Output is correct
30 Correct 104 ms 25100 KB Output is correct
31 Correct 108 ms 24968 KB Output is correct
32 Correct 130 ms 25160 KB Output is correct
33 Correct 126 ms 23628 KB Output is correct
34 Correct 121 ms 24904 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12368 KB Output is correct
2 Correct 3 ms 12368 KB Output is correct
3 Correct 3 ms 12380 KB Output is correct
4 Correct 3 ms 12368 KB Output is correct
5 Correct 3 ms 12404 KB Output is correct
6 Correct 3 ms 12368 KB Output is correct
7 Correct 3 ms 12368 KB Output is correct
8 Correct 3 ms 12368 KB Output is correct
9 Correct 3 ms 12368 KB Output is correct
10 Correct 3 ms 12368 KB Output is correct
11 Correct 3 ms 12368 KB Output is correct
12 Correct 4 ms 12368 KB Output is correct
13 Correct 3 ms 12368 KB Output is correct
14 Correct 3 ms 12404 KB Output is correct
15 Correct 3 ms 12384 KB Output is correct
16 Correct 4 ms 12364 KB Output is correct
17 Correct 4 ms 12368 KB Output is correct
18 Correct 3 ms 12368 KB Output is correct
19 Correct 3 ms 12368 KB Output is correct
20 Correct 4 ms 12476 KB Output is correct
21 Correct 4 ms 12368 KB Output is correct
22 Correct 4 ms 14416 KB Output is correct
23 Correct 4 ms 14416 KB Output is correct
24 Correct 5 ms 14416 KB Output is correct
25 Correct 3 ms 14460 KB Output is correct
26 Correct 4 ms 12536 KB Output is correct
27 Correct 4 ms 14416 KB Output is correct
28 Correct 4 ms 12368 KB Output is correct
29 Correct 4 ms 12424 KB Output is correct
30 Correct 4 ms 12368 KB Output is correct
31 Correct 4 ms 14416 KB Output is correct
32 Correct 4 ms 14428 KB Output is correct
33 Correct 4 ms 14416 KB Output is correct
34 Correct 4 ms 14416 KB Output is correct
35 Correct 4 ms 14416 KB Output is correct
36 Correct 4 ms 14416 KB Output is correct
37 Correct 4 ms 14416 KB Output is correct
38 Correct 4 ms 14416 KB Output is correct
39 Correct 64 ms 19528 KB Output is correct
40 Correct 65 ms 19684 KB Output is correct
41 Correct 70 ms 19724 KB Output is correct
42 Correct 66 ms 20040 KB Output is correct
43 Correct 49 ms 19988 KB Output is correct
44 Correct 41 ms 19980 KB Output is correct
45 Correct 85 ms 24648 KB Output is correct
46 Correct 66 ms 30816 KB Output is correct
47 Correct 97 ms 24968 KB Output is correct
48 Correct 200 ms 45576 KB Output is correct
49 Correct 195 ms 44104 KB Output is correct
50 Correct 104 ms 25100 KB Output is correct
51 Correct 108 ms 24968 KB Output is correct
52 Correct 130 ms 25160 KB Output is correct
53 Correct 126 ms 23628 KB Output is correct
54 Correct 121 ms 24904 KB Output is correct
55 Correct 7 ms 12880 KB Output is correct
56 Correct 9 ms 12880 KB Output is correct
57 Correct 44 ms 21088 KB Output is correct
58 Correct 29 ms 20312 KB Output is correct
59 Correct 63 ms 31048 KB Output is correct
60 Correct 200 ms 48628 KB Output is correct
61 Correct 109 ms 25224 KB Output is correct
62 Correct 111 ms 27976 KB Output is correct
63 Correct 137 ms 29512 KB Output is correct
64 Correct 200 ms 29720 KB Output is correct
65 Correct 128 ms 25928 KB Output is correct
66 Correct 210 ms 42580 KB Output is correct
67 Correct 70 ms 30856 KB Output is correct
68 Correct 137 ms 29000 KB Output is correct
69 Correct 112 ms 28560 KB Output is correct
70 Correct 103 ms 27464 KB Output is correct