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Submission #916176

# Submission time Handle Problem Language Result Execution time Memory
916176 2024-01-25T12:28:16 Z duckindog Swapping Cities (APIO20_swap) C++14
36 / 100
 207 ms 44808 KB 
#include<bits/stdc++.h>

using namespace std;

//#define LOCAL

#ifndef LOCAL
#include "swap.h"
#endif // LOCAL

const int N = 2e5 + 10;
struct edge {
  int u, v, w;
  edge() : u(0), v(0), w(0) {}
  edge(int u, int v, int w) : u(u), v(v), w(w) {}
} ED[N];
int par[N], id[N];
int root(int u, int ty = 0) {
  if (ty) return (id[u] < 0 ? u : id[u] = root(id[u], ty));
  return (par[u] < 0 ? u : par[u] = root(par[u]));
}
void add(int u, int v, int ty = 0) {
  u = root(u, ty); v = root(v, ty);
  if (u == v) return;
  if (ty) {
    if (u < v) swap(u, v);
    id[u] += id[v];
    id[v] = u;

  } else {
    if (par[u] > par[v]) swap(u, v);
    par[u] += par[v];
    par[v] = u;
  }
}

int n, m;
vector<int> ad[N];
bool mk[N];
int cnt[N], weight[N];
int low[N];

int f[N][17], st[N], ed[N], it;
void dfs(int u, int pre = -1) {
  if (mk[u]) low[u] = weight[u];
  st[u] = ++it;
  for (int i = 1; i <= 16; ++i)
    f[u][i] = f[f[u][i - 1]][i - 1];

  for (int v : ad[u]) {
    if (v == pre) continue;
    if (!mk[v]) low[v] = low[u];
    f[v][0] = u;
    dfs(v, u);
  }
  ed[u] = it;
}
bool anc(int u, int v) {
  return st[u] <= st[v] && ed[u] >= ed[v];
}
int lca(int u, int v) {
  if (anc(u, v)) return u;
  if (anc(v, u)) return v;
  for (int i = 16; i >= 0; --i)
    if (!anc(f[u][i], v)) u = f[u][i];
  return f[u][0];
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
  n = N; m = M;
  for (int i = 0; i < m; ++i) {
    int u = U[i], v = V[i], w = W[i];
    ED[i] = {u, v, w};
  }
  sort(ED, ED + m, [&] (const auto& a, const auto& b) {
    return a.w < b.w;
  });

  memset(par, -1, sizeof par);
  memset(id, -1, sizeof id);
  int it = n - 1;
  for (int i = 0; i < m; ++i) {
    int u = ED[i].u, v = ED[i].v, w = ED[i].w;
    cnt[u] += 1; cnt[v] += 1;

    if (root(u) == root(v)) {
      if (!mk[it]) {
        mk[it] = 1;
        weight[it] = w;

      }
      continue;
    }
    add(u, v);
    it += 1;
    if ((cnt[u] >= 3 || cnt[v] >= 3) && !mk[it]) {
      mk[it] = 1;
      weight[it] = w;
    }

    u = root(u, 1); v = root(v, 1);

    ad[it].push_back(u); ad[it].push_back(v);
    mk[it] |= (mk[u] | mk[v]);

    add(it, u, 1); add(it, v, 1);
    weight[it] = w;
  }
  memset(low, -1, sizeof low);
  dfs(f[it][0] = it);

}

int getMinimumFuelCapacity(int X, int Y) {
  return low[lca(X, Y)];
}

#ifdef LOCAL
int32_t main() {
  cin.tie(0)->sync_with_stdio(0);

  if (fopen("duck.inp", "r")) {
    freopen("duck.inp", "r", stdin);
    freopen("duck.out", "w", stdout);
  }

  int n, m; cin >> n >> m;
  vector<int> U(m), V(m), W(m);
  for (int i = 0; i < m; ++i) cin >> U[i] >> V[i] >> W[i];
  init(n, m, U, V, W);

  int q; cin >> q;
  for (int i = 1; i <= q; ++i) {
    int X, Y; cin >> X >> Y;
    cout << getMinimumFuelCapacity(X, Y) << '\n';
  }


}
#endif // LOCAL

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13964 KB Output is correct
3 Correct 5 ms 13916 KB Output is correct
4 Correct 4 ms 13912 KB Output is correct
5 Correct 4 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 4 ms 13916 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 83 ms 29732 KB Output is correct
10 Correct 96 ms 32848 KB Output is correct
11 Correct 101 ms 32848 KB Output is correct
12 Correct 118 ms 33160 KB Output is correct
13 Correct 110 ms 37060 KB Output is correct
14 Correct 83 ms 30124 KB Output is correct
15 Correct 165 ms 35804 KB Output is correct
16 Correct 181 ms 35592 KB Output is correct
17 Correct 170 ms 36268 KB Output is correct
18 Correct 201 ms 40120 KB Output is correct
19 Correct 64 ms 21584 KB Output is correct
20 Correct 176 ms 36816 KB Output is correct
21 Correct 168 ms 36880 KB Output is correct
22 Correct 191 ms 37496 KB Output is correct
23 Correct 181 ms 41404 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13964 KB Output is correct
3 Correct 184 ms 44056 KB Output is correct
4 Correct 197 ms 44664 KB Output is correct
5 Correct 193 ms 44560 KB Output is correct
6 Correct 187 ms 44308 KB Output is correct
7 Correct 190 ms 44808 KB Output is correct
8 Correct 153 ms 44032 KB Output is correct
9 Correct 159 ms 44496 KB Output is correct
10 Correct 178 ms 44040 KB Output is correct

Subtask #3
0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13964 KB Output is correct
3 Correct 5 ms 13916 KB Output is correct
4 Correct 4 ms 13912 KB Output is correct
5 Correct 4 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 4 ms 13916 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 5 ms 13912 KB Output is correct
10 Correct 5 ms 13916 KB Output is correct
11 Correct 4 ms 13916 KB Output is correct
12 Correct 5 ms 13916 KB Output is correct
13 Correct 4 ms 13916 KB Output is correct
14 Correct 4 ms 14024 KB Output is correct
15 Correct 5 ms 13916 KB Output is correct
16 Correct 5 ms 13984 KB Output is correct
17 Correct 4 ms 13916 KB Output is correct
18 Correct 4 ms 14000 KB Output is correct
19 Correct 4 ms 13912 KB Output is correct
20 Correct 4 ms 13916 KB Output is correct
21 Correct 5 ms 13916 KB Output is correct
22 Correct 4 ms 13916 KB Output is correct
23 Correct 4 ms 13916 KB Output is correct
24 Incorrect 5 ms 13912 KB Output isn't correct
25 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 13912 KB Output is correct
2 Correct 3 ms 13916 KB Output is correct
3 Correct 3 ms 13964 KB Output is correct
4 Correct 5 ms 13916 KB Output is correct
5 Correct 4 ms 13912 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 4 ms 13916 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 4 ms 13916 KB Output is correct
10 Correct 83 ms 29732 KB Output is correct
11 Correct 96 ms 32848 KB Output is correct
12 Correct 101 ms 32848 KB Output is correct
13 Correct 118 ms 33160 KB Output is correct
14 Correct 110 ms 37060 KB Output is correct
15 Correct 5 ms 13916 KB Output is correct
16 Correct 4 ms 13916 KB Output is correct
17 Correct 5 ms 13916 KB Output is correct
18 Correct 4 ms 13916 KB Output is correct
19 Correct 4 ms 14024 KB Output is correct
20 Correct 5 ms 13916 KB Output is correct
21 Correct 5 ms 13984 KB Output is correct
22 Correct 4 ms 13916 KB Output is correct
23 Correct 4 ms 14000 KB Output is correct
24 Correct 4 ms 13912 KB Output is correct
25 Correct 4 ms 13916 KB Output is correct
26 Correct 5 ms 13916 KB Output is correct
27 Correct 4 ms 13916 KB Output is correct
28 Correct 4 ms 13916 KB Output is correct
29 Incorrect 5 ms 13912 KB Output isn't correct
30 Halted 0 ms 0 KB -

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 13916 KB Output is correct
2 Correct 3 ms 13964 KB Output is correct
3 Correct 5 ms 13916 KB Output is correct
4 Correct 4 ms 13912 KB Output is correct
5 Correct 4 ms 13916 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 4 ms 13916 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 83 ms 29732 KB Output is correct
10 Correct 96 ms 32848 KB Output is correct
11 Correct 101 ms 32848 KB Output is correct
12 Correct 118 ms 33160 KB Output is correct
13 Correct 110 ms 37060 KB Output is correct
14 Correct 83 ms 30124 KB Output is correct
15 Correct 165 ms 35804 KB Output is correct
16 Correct 181 ms 35592 KB Output is correct
17 Correct 170 ms 36268 KB Output is correct
18 Correct 201 ms 40120 KB Output is correct
19 Correct 184 ms 44056 KB Output is correct
20 Correct 197 ms 44664 KB Output is correct
21 Correct 193 ms 44560 KB Output is correct
22 Correct 187 ms 44308 KB Output is correct
23 Correct 190 ms 44808 KB Output is correct
24 Correct 153 ms 44032 KB Output is correct
25 Correct 159 ms 44496 KB Output is correct
26 Correct 178 ms 44040 KB Output is correct
27 Correct 5 ms 13916 KB Output is correct
28 Correct 4 ms 13916 KB Output is correct
29 Correct 5 ms 13916 KB Output is correct
30 Correct 4 ms 13916 KB Output is correct
31 Correct 4 ms 14024 KB Output is correct
32 Correct 5 ms 13916 KB Output is correct
33 Correct 5 ms 13984 KB Output is correct
34 Correct 4 ms 13916 KB Output is correct
35 Correct 4 ms 14000 KB Output is correct
36 Correct 11 ms 16988 KB Output is correct
37 Correct 110 ms 33212 KB Output is correct
38 Correct 121 ms 33104 KB Output is correct
39 Correct 105 ms 33108 KB Output is correct
40 Correct 101 ms 33104 KB Output is correct
41 Correct 116 ms 33124 KB Output is correct
42 Correct 96 ms 32204 KB Output is correct
43 Correct 109 ms 33052 KB Output is correct
44 Correct 120 ms 33180 KB Output is correct
45 Correct 90 ms 38228 KB Output is correct
46 Correct 107 ms 33280 KB Output is correct
47 Correct 18 ms 17500 KB Output is correct
48 Correct 172 ms 36796 KB Output is correct
49 Correct 179 ms 36792 KB Output is correct
50 Correct 182 ms 36796 KB Output is correct
51 Correct 178 ms 36552 KB Output is correct
52 Correct 194 ms 36348 KB Output is correct
53 Correct 131 ms 31456 KB Output is correct
54 Correct 177 ms 37556 KB Output is correct
55 Correct 179 ms 36896 KB Output is correct
56 Correct 178 ms 40864 KB Output is correct
57 Correct 207 ms 37560 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 13912 KB Output is correct
2 Correct 3 ms 13916 KB Output is correct
3 Correct 3 ms 13964 KB Output is correct
4 Correct 5 ms 13916 KB Output is correct
5 Correct 4 ms 13912 KB Output is correct
6 Correct 4 ms 13916 KB Output is correct
7 Correct 4 ms 13916 KB Output is correct
8 Correct 4 ms 13916 KB Output is correct
9 Correct 4 ms 13916 KB Output is correct
10 Correct 83 ms 29732 KB Output is correct
11 Correct 96 ms 32848 KB Output is correct
12 Correct 101 ms 32848 KB Output is correct
13 Correct 118 ms 33160 KB Output is correct
14 Correct 110 ms 37060 KB Output is correct
15 Correct 83 ms 30124 KB Output is correct
16 Correct 165 ms 35804 KB Output is correct
17 Correct 181 ms 35592 KB Output is correct
18 Correct 170 ms 36268 KB Output is correct
19 Correct 201 ms 40120 KB Output is correct
20 Correct 184 ms 44056 KB Output is correct
21 Correct 197 ms 44664 KB Output is correct
22 Correct 193 ms 44560 KB Output is correct
23 Correct 187 ms 44308 KB Output is correct
24 Correct 190 ms 44808 KB Output is correct
25 Correct 153 ms 44032 KB Output is correct
26 Correct 159 ms 44496 KB Output is correct
27 Correct 178 ms 44040 KB Output is correct
28 Correct 5 ms 13916 KB Output is correct
29 Correct 4 ms 13916 KB Output is correct
30 Correct 5 ms 13916 KB Output is correct
31 Correct 4 ms 13916 KB Output is correct
32 Correct 4 ms 14024 KB Output is correct
33 Correct 5 ms 13916 KB Output is correct
34 Correct 5 ms 13984 KB Output is correct
35 Correct 4 ms 13916 KB Output is correct
36 Correct 4 ms 14000 KB Output is correct
37 Correct 11 ms 16988 KB Output is correct
38 Correct 110 ms 33212 KB Output is correct
39 Correct 121 ms 33104 KB Output is correct
40 Correct 105 ms 33108 KB Output is correct
41 Correct 101 ms 33104 KB Output is correct
42 Correct 116 ms 33124 KB Output is correct
43 Correct 96 ms 32204 KB Output is correct
44 Correct 109 ms 33052 KB Output is correct
45 Correct 120 ms 33180 KB Output is correct
46 Correct 90 ms 38228 KB Output is correct
47 Correct 107 ms 33280 KB Output is correct
48 Correct 18 ms 17500 KB Output is correct
49 Correct 172 ms 36796 KB Output is correct
50 Correct 179 ms 36792 KB Output is correct
51 Correct 182 ms 36796 KB Output is correct
52 Correct 178 ms 36552 KB Output is correct
53 Correct 194 ms 36348 KB Output is correct
54 Correct 131 ms 31456 KB Output is correct
55 Correct 177 ms 37556 KB Output is correct
56 Correct 179 ms 36896 KB Output is correct
57 Correct 178 ms 40864 KB Output is correct
58 Correct 207 ms 37560 KB Output is correct
59 Correct 64 ms 21584 KB Output is correct
60 Correct 176 ms 36816 KB Output is correct
61 Correct 168 ms 36880 KB Output is correct
62 Correct 191 ms 37496 KB Output is correct
63 Correct 181 ms 41404 KB Output is correct
64 Correct 4 ms 13912 KB Output is correct
65 Correct 4 ms 13916 KB Output is correct
66 Correct 5 ms 13916 KB Output is correct
67 Correct 4 ms 13916 KB Output is correct
68 Correct 4 ms 13916 KB Output is correct
69 Incorrect 5 ms 13912 KB Output isn't correct
70 Halted 0 ms 0 KB -