oj.uz

Submission #1035358

# Submission time Handle Problem Language Result Execution time Memory
1035358 2024-07-26T09:50:41 Z juicy Construction of Highway (JOI18_construction) C++17
100 / 100
 429 ms 28856 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 1e5 + 5;

int n;
int c[N], pr[N], head[N], tin[N], sz[N], s[N], bot[N];
set<array<int, 2>> st[N];
vector<int> g[N];

void upd(int i, int x) {
  for (; i <= n; i += i & -i) {
    s[i] += x;
  }
}

int qry(int i) {
  int res = 0;
  for (; i; i -= i & -i) {
    res += s[i];
  }
  return res;
}

void dfs(int u) {
  for (int &v : g[u]) {
    if (v == pr[u]) {
      swap(v, g[u].back());
      g[u].pop_back();
      break;
    }
  }
  sz[u] = 1;
  for (int v : g[u]) {
    pr[v] = u;
    dfs(v);
    sz[u] += sz[v];
  }
}

int timer;

void hld(int u, int h) {
  tin[u] = ++timer;
  head[u] = h;
  bot[h] = timer;
  if (g[u].size()) {
    int x = *max_element(g[u].begin(), g[u].end(), [&](int i, int j) {
      return sz[i] < sz[j];
    });
    hld(x, h);
    for (int v : g[u]) {
      if (v != x) {
        hld(v, v);
      }
    }
  }
}

long long qry(int u, int x) {
  vector<array<int, 2>> cands;
  long long res = 0;
  for (; u; u = pr[head[u]]) {
    int h = head[u];
    auto it = st[h].lower_bound({tin[u] + 1, 0});
    assert(it != st[h].end());
    bool exist = (*it)[0] == tin[u] + 1; 
    --it;
    if (!exist) {
      st[h].insert({tin[u] + 1, (*it)[1]});
    }
    vector<array<int, 2>> nw;
    while (st[h].size() && (*(it = st[h].begin()))[0] <= tin[u]) {
      nw.push_back({(*next(it))[0] - (*it)[0], (*it)[1]});
      st[h].erase(it);
    }
    reverse(nw.begin(), nw.end());
    cands.insert(cands.end(), nw.begin(), nw.end());
    nw.clear();
    st[h].insert({tin[h], x});
  }
  for (auto [l, x] : cands) {
    res += (long long) qry(x - 1) * l;
    upd(x, l);
  }
  for (auto [l, x] : cands) {
    upd(x, -l);
  }
  cands.clear();
  return res;
}

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n;
  vector<int> comp;
  for (int i = 1; i <= n; ++i) {
    cin >> c[i];
    comp.push_back(c[i]);
  }
  vector<array<int, 2>> edges;
  for (int i = 1; i < n; ++i) {
    int u, v; cin >> u >> v;
    edges.push_back({u, v});
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfs(1);
  hld(1, 1);
  sort(comp.begin(), comp.end());
  comp.erase(unique(comp.begin(), comp.end()), comp.end());
  for (int i = 1; i <= n; ++i) {
    int h = head[i];
    c[i] = lower_bound(comp.begin(), comp.end(), c[i]) - comp.begin() + 1;
    st[h].insert({tin[i], c[i]});
    if (bot[i]) {
      st[h].insert({bot[i] + 1, -1});
    }
  }
  for (auto [u, v] : edges) {
    cout << qry(u, c[v]) << "\n";
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7376 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7516 KB Output is correct
7 Correct 4 ms 7524 KB Output is correct
8 Correct 4 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 4 ms 7516 KB Output is correct
11 Correct 4 ms 7516 KB Output is correct
12 Correct 3 ms 7528 KB Output is correct
13 Correct 3 ms 7516 KB Output is correct
14 Correct 3 ms 7512 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 4 ms 7516 KB Output is correct
18 Correct 3 ms 7524 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7516 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7516 KB Output is correct
24 Correct 5 ms 7516 KB Output is correct
25 Correct 3 ms 7516 KB Output is correct
26 Correct 3 ms 7516 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 4 ms 7640 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 4 ms 7512 KB Output is correct
31 Correct 5 ms 7620 KB Output is correct
32 Correct 3 ms 7640 KB Output is correct
33 Correct 4 ms 7580 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7512 KB Output is correct
37 Correct 4 ms 7516 KB Output is correct
38 Correct 3 ms 7516 KB Output is correct
39 Correct 5 ms 7516 KB Output is correct
40 Correct 4 ms 7512 KB Output is correct
41 Correct 4 ms 7512 KB Output is correct
42 Correct 4 ms 7560 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 4 ms 7516 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7376 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7516 KB Output is correct
7 Correct 4 ms 7524 KB Output is correct
8 Correct 4 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 4 ms 7516 KB Output is correct
11 Correct 4 ms 7516 KB Output is correct
12 Correct 3 ms 7528 KB Output is correct
13 Correct 3 ms 7516 KB Output is correct
14 Correct 3 ms 7512 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 4 ms 7516 KB Output is correct
18 Correct 3 ms 7524 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7516 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7516 KB Output is correct
24 Correct 5 ms 7516 KB Output is correct
25 Correct 3 ms 7516 KB Output is correct
26 Correct 3 ms 7516 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 4 ms 7640 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 4 ms 7512 KB Output is correct
31 Correct 5 ms 7620 KB Output is correct
32 Correct 3 ms 7640 KB Output is correct
33 Correct 4 ms 7580 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7512 KB Output is correct
37 Correct 4 ms 7516 KB Output is correct
38 Correct 3 ms 7516 KB Output is correct
39 Correct 5 ms 7516 KB Output is correct
40 Correct 4 ms 7512 KB Output is correct
41 Correct 4 ms 7512 KB Output is correct
42 Correct 4 ms 7560 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 4 ms 7516 KB Output is correct
45 Correct 4 ms 7516 KB Output is correct
46 Correct 8 ms 8200 KB Output is correct
47 Correct 8 ms 8028 KB Output is correct
48 Correct 7 ms 8028 KB Output is correct
49 Correct 6 ms 8284 KB Output is correct
50 Correct 6 ms 8284 KB Output is correct
51 Correct 5 ms 8284 KB Output is correct
52 Correct 6 ms 8284 KB Output is correct
53 Correct 9 ms 8540 KB Output is correct
54 Correct 6 ms 8336 KB Output is correct
55 Correct 9 ms 8284 KB Output is correct
56 Correct 5 ms 8296 KB Output is correct
57 Correct 9 ms 8028 KB Output is correct
58 Correct 9 ms 8032 KB Output is correct
59 Correct 10 ms 8028 KB Output is correct
60 Correct 10 ms 8036 KB Output is correct
61 Correct 7 ms 8284 KB Output is correct
62 Correct 7 ms 8300 KB Output is correct
63 Correct 7 ms 8284 KB Output is correct
64 Correct 8 ms 8064 KB Output is correct
65 Correct 11 ms 8088 KB Output is correct
66 Correct 7 ms 8000 KB Output is correct
67 Correct 8 ms 8028 KB Output is correct
68 Correct 7 ms 8284 KB Output is correct
69 Correct 9 ms 8372 KB Output is correct
70 Correct 9 ms 8284 KB Output is correct
71 Correct 9 ms 8240 KB Output is correct
72 Correct 9 ms 8028 KB Output is correct
73 Correct 14 ms 8052 KB Output is correct
74 Correct 6 ms 8280 KB Output is correct
75 Correct 10 ms 8128 KB Output is correct
76 Correct 8 ms 8024 KB Output is correct
77 Correct 7 ms 8024 KB Output is correct
78 Correct 5 ms 8028 KB Output is correct
79 Correct 6 ms 8028 KB Output is correct
80 Correct 9 ms 8024 KB Output is correct
81 Correct 9 ms 8028 KB Output is correct
82 Correct 7 ms 8028 KB Output is correct
83 Correct 6 ms 8028 KB Output is correct
84 Correct 6 ms 8028 KB Output is correct
85 Correct 6 ms 8028 KB Output is correct
86 Correct 6 ms 8028 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7376 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 4 ms 7380 KB Output is correct
6 Correct 4 ms 7516 KB Output is correct
7 Correct 4 ms 7524 KB Output is correct
8 Correct 4 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 4 ms 7516 KB Output is correct
11 Correct 4 ms 7516 KB Output is correct
12 Correct 3 ms 7528 KB Output is correct
13 Correct 3 ms 7516 KB Output is correct
14 Correct 3 ms 7512 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 4 ms 7516 KB Output is correct
18 Correct 3 ms 7524 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7516 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7516 KB Output is correct
24 Correct 5 ms 7516 KB Output is correct
25 Correct 3 ms 7516 KB Output is correct
26 Correct 3 ms 7516 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 4 ms 7640 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 4 ms 7512 KB Output is correct
31 Correct 5 ms 7620 KB Output is correct
32 Correct 3 ms 7640 KB Output is correct
33 Correct 4 ms 7580 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7512 KB Output is correct
37 Correct 4 ms 7516 KB Output is correct
38 Correct 3 ms 7516 KB Output is correct
39 Correct 5 ms 7516 KB Output is correct
40 Correct 4 ms 7512 KB Output is correct
41 Correct 4 ms 7512 KB Output is correct
42 Correct 4 ms 7560 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 4 ms 7516 KB Output is correct
45 Correct 4 ms 7516 KB Output is correct
46 Correct 8 ms 8200 KB Output is correct
47 Correct 8 ms 8028 KB Output is correct
48 Correct 7 ms 8028 KB Output is correct
49 Correct 6 ms 8284 KB Output is correct
50 Correct 6 ms 8284 KB Output is correct
51 Correct 5 ms 8284 KB Output is correct
52 Correct 6 ms 8284 KB Output is correct
53 Correct 9 ms 8540 KB Output is correct
54 Correct 6 ms 8336 KB Output is correct
55 Correct 9 ms 8284 KB Output is correct
56 Correct 5 ms 8296 KB Output is correct
57 Correct 9 ms 8028 KB Output is correct
58 Correct 9 ms 8032 KB Output is correct
59 Correct 10 ms 8028 KB Output is correct
60 Correct 10 ms 8036 KB Output is correct
61 Correct 7 ms 8284 KB Output is correct
62 Correct 7 ms 8300 KB Output is correct
63 Correct 7 ms 8284 KB Output is correct
64 Correct 8 ms 8064 KB Output is correct
65 Correct 11 ms 8088 KB Output is correct
66 Correct 7 ms 8000 KB Output is correct
67 Correct 8 ms 8028 KB Output is correct
68 Correct 7 ms 8284 KB Output is correct
69 Correct 9 ms 8372 KB Output is correct
70 Correct 9 ms 8284 KB Output is correct
71 Correct 9 ms 8240 KB Output is correct
72 Correct 9 ms 8028 KB Output is correct
73 Correct 14 ms 8052 KB Output is correct
74 Correct 6 ms 8280 KB Output is correct
75 Correct 10 ms 8128 KB Output is correct
76 Correct 8 ms 8024 KB Output is correct
77 Correct 7 ms 8024 KB Output is correct
78 Correct 5 ms 8028 KB Output is correct
79 Correct 6 ms 8028 KB Output is correct
80 Correct 9 ms 8024 KB Output is correct
81 Correct 9 ms 8028 KB Output is correct
82 Correct 7 ms 8028 KB Output is correct
83 Correct 6 ms 8028 KB Output is correct
84 Correct 6 ms 8028 KB Output is correct
85 Correct 6 ms 8028 KB Output is correct
86 Correct 6 ms 8028 KB Output is correct
87 Correct 16 ms 9052 KB Output is correct
88 Correct 50 ms 12476 KB Output is correct
89 Correct 267 ms 24128 KB Output is correct
90 Correct 264 ms 23904 KB Output is correct
91 Correct 230 ms 24032 KB Output is correct
92 Correct 125 ms 28812 KB Output is correct
93 Correct 126 ms 28848 KB Output is correct
94 Correct 124 ms 28856 KB Output is correct
95 Correct 111 ms 28304 KB Output is correct
96 Correct 139 ms 28584 KB Output is correct
97 Correct 130 ms 28664 KB Output is correct
98 Correct 130 ms 28640 KB Output is correct
99 Correct 115 ms 28008 KB Output is correct
100 Correct 337 ms 22740 KB Output is correct
101 Correct 400 ms 23052 KB Output is correct
102 Correct 429 ms 23252 KB Output is correct
103 Correct 352 ms 23244 KB Output is correct
104 Correct 150 ms 27884 KB Output is correct
105 Correct 133 ms 27852 KB Output is correct
106 Correct 114 ms 27876 KB Output is correct
107 Correct 198 ms 22732 KB Output is correct
108 Correct 179 ms 22876 KB Output is correct
109 Correct 218 ms 23300 KB Output is correct
110 Correct 92 ms 27968 KB Output is correct
111 Correct 115 ms 28320 KB Output is correct
112 Correct 98 ms 27600 KB Output is correct
113 Correct 89 ms 26828 KB Output is correct
114 Correct 307 ms 22804 KB Output is correct
115 Correct 302 ms 22164 KB Output is correct
116 Correct 96 ms 26900 KB Output is correct
117 Correct 123 ms 25548 KB Output is correct
118 Correct 145 ms 24780 KB Output is correct
119 Correct 108 ms 24524 KB Output is correct
120 Correct 95 ms 24780 KB Output is correct
121 Correct 90 ms 24192 KB Output is correct
122 Correct 94 ms 23772 KB Output is correct
123 Correct 116 ms 25632 KB Output is correct
124 Correct 142 ms 25012 KB Output is correct
125 Correct 129 ms 24624 KB Output is correct
126 Correct 109 ms 24852 KB Output is correct
127 Correct 114 ms 24208 KB Output is correct
128 Correct 118 ms 23824 KB Output is correct