oj.uz

Submission #869063

# Submission time Handle Problem Language Result Execution time Memory
869063 2023-11-03T04:33:19 Z NeroZein Construction of Highway (JOI18_construction) C++17
100 / 100
 330 ms 92856 KB 
#include "bits/stdc++.h"
using namespace std;

#ifdef Nero
#include "Deb.h"
#else
#define deb(...)
#endif

const int N = 1e5 + 5; 

int a[N]; 
int tree[N]; 
vector<int> g[N];
int pr[N], sz[N], dep[N];
int cnt, id[N], top[N], chain[N];
deque<pair<int, int>> in_chain[N];

inline void upd (int idd, int v) {
  while (idd < N) {
    tree[idd] += v;
    idd += idd & -idd;
  }
}

inline long long qry (int idd) {
  long long ret = 0; 
  while (idd) {
    ret += tree[idd];
    idd -= idd & -idd; 
  }
  return ret; 
}


void dfs(int v, int p) {
  sz[v] = 1; 
  for (int u : g[v]) {
    if (u == p) {
      continue;
    }
    pr[u] = v; 
    dep[u] = dep[v] + 1; 
    dfs(u, v); 
    sz[v] += sz[u]; 
  }
}

void dfs_hld(int v, int p, int tp) {
  top[v] = tp;
  deque<pair<int, int>>& deq = in_chain[chain[v]]; 
  if (deq.empty() || deq.back().first != a[v]) {
    deq.emplace_back(a[v], 1); 
  } else {
    deq.back().second++; 
  }
  int big = 0; 
  for (int u : g[v]) {
    if (u != p && sz[u] > sz[big]) {
      big = u; 
    }
  }
  if (big) {
    chain[big] = chain[v]; 
    id[big] = id[v] + 1; 
    dfs_hld(big, v, tp); 
  }
  for (int u : g[v]) {
    if (u != p && u != big) {
      id[u] = 1; 
      chain[u] = cnt++; 
      dfs_hld(u, v, u); 
    }
  }
}

vector<vector<pair<int, int>>> get(int v, int c) {
  vector<vector<pair<int, int>>> ret; 
  while (v) {
    vector<pair<int, int>> tv; 
    int to_delete = id[v]; 
    int deleted = 0; 
    deque<pair<int, int>>& deq = in_chain[chain[v]]; 
    while (!deq.empty() && deleted < to_delete) {
      if (deq.front().second + deleted > to_delete) {
        tv.push_back({deq.front().first, to_delete - deleted}); 
        deq.front().second -= (to_delete - deleted); 
        deleted = to_delete;
        break; 
      } else {
        tv.push_back(deq.front()); 
        deleted += deq.front().second; 
        deq.pop_front();
      }
    }
    assert(to_delete == deleted); 
    deq.push_front({c, to_delete});
    ret.push_back(tv); 
    v = pr[top[v]]; 
  }
  return ret;
}

long long solve(vector<vector<pair<int, int>>> vec) {
  reverse(vec.begin(), vec.end()); 
  long long ret = 0;
  for (int i = 0; i < (int) vec.size(); ++i) {
    for (auto [c, freq] : vec[i]) {
      ret += (qry(N - 1) - qry(c)) * freq; 
      upd(c, freq); 
    }    
  }
  for (int i = 0; i < (int) vec.size(); ++i) {
    for (auto [c, freq] : vec[i]) {
      upd(c, -freq); 
    }    
  }
  return ret;
}

int main(){
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int n;
  cin >> n;
  map<int, int> mp; 
  for (int i = 1; i <= n; ++i) {
    cin >> a[i]; 
    mp[a[i]];
  }
  int cc = 0;
  for (auto& it : mp) {
    it.second = ++cc;
  }
  for (int i = 1; i <= n; ++i) {
    a[i] = mp[a[i]]; 
  }
  vector<int> qu(n - 1), qv(n - 1);
  for (int i = 0; i < n - 1; ++i) {
    int u, v;
    cin >> u >> v;
    qu[i] = u, qv[i] = v; 
    g[u].push_back(v);
    g[v].push_back(u); 
  }
  dfs(1, 1); 
  id[1] = 1; 
  cnt = 2; 
  chain[1] = 1; 
  dfs_hld(1, 1, 1); 
  for (int i = 0; i < n - 1; ++i) {
    vector<vector<pair<int, int>>> vec = get(qu[i], a[qv[i]]); 
    cout << solve(vec) << '\n'; 
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 72272 KB Output is correct
2 Correct 31 ms 72284 KB Output is correct
3 Correct 32 ms 72284 KB Output is correct
4 Correct 33 ms 72488 KB Output is correct
5 Correct 33 ms 72540 KB Output is correct
6 Correct 32 ms 72540 KB Output is correct
7 Correct 32 ms 72540 KB Output is correct
8 Correct 32 ms 72512 KB Output is correct
9 Correct 32 ms 72536 KB Output is correct
10 Correct 32 ms 72536 KB Output is correct
11 Correct 32 ms 72540 KB Output is correct
12 Correct 32 ms 72524 KB Output is correct
13 Correct 31 ms 72540 KB Output is correct
14 Correct 32 ms 72540 KB Output is correct
15 Correct 32 ms 72532 KB Output is correct
16 Correct 32 ms 72528 KB Output is correct
17 Correct 32 ms 72540 KB Output is correct
18 Correct 32 ms 72540 KB Output is correct
19 Correct 33 ms 72792 KB Output is correct
20 Correct 32 ms 72532 KB Output is correct
21 Correct 33 ms 72540 KB Output is correct
22 Correct 35 ms 72540 KB Output is correct
23 Correct 36 ms 72532 KB Output is correct
24 Correct 35 ms 72532 KB Output is correct
25 Correct 34 ms 72528 KB Output is correct
26 Correct 32 ms 72528 KB Output is correct
27 Correct 32 ms 72536 KB Output is correct
28 Correct 32 ms 72540 KB Output is correct
29 Correct 33 ms 72568 KB Output is correct
30 Correct 33 ms 72532 KB Output is correct
31 Correct 33 ms 72540 KB Output is correct
32 Correct 32 ms 72532 KB Output is correct
33 Correct 32 ms 72532 KB Output is correct
34 Correct 32 ms 72528 KB Output is correct
35 Correct 33 ms 72540 KB Output is correct
36 Correct 32 ms 72532 KB Output is correct
37 Correct 32 ms 72324 KB Output is correct
38 Correct 39 ms 72532 KB Output is correct
39 Correct 31 ms 72536 KB Output is correct
40 Correct 32 ms 72540 KB Output is correct
41 Correct 32 ms 72536 KB Output is correct
42 Correct 32 ms 72540 KB Output is correct
43 Correct 32 ms 72284 KB Output is correct
44 Correct 32 ms 72532 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 72272 KB Output is correct
2 Correct 31 ms 72284 KB Output is correct
3 Correct 32 ms 72284 KB Output is correct
4 Correct 33 ms 72488 KB Output is correct
5 Correct 33 ms 72540 KB Output is correct
6 Correct 32 ms 72540 KB Output is correct
7 Correct 32 ms 72540 KB Output is correct
8 Correct 32 ms 72512 KB Output is correct
9 Correct 32 ms 72536 KB Output is correct
10 Correct 32 ms 72536 KB Output is correct
11 Correct 32 ms 72540 KB Output is correct
12 Correct 32 ms 72524 KB Output is correct
13 Correct 31 ms 72540 KB Output is correct
14 Correct 32 ms 72540 KB Output is correct
15 Correct 32 ms 72532 KB Output is correct
16 Correct 32 ms 72528 KB Output is correct
17 Correct 32 ms 72540 KB Output is correct
18 Correct 32 ms 72540 KB Output is correct
19 Correct 33 ms 72792 KB Output is correct
20 Correct 32 ms 72532 KB Output is correct
21 Correct 33 ms 72540 KB Output is correct
22 Correct 35 ms 72540 KB Output is correct
23 Correct 36 ms 72532 KB Output is correct
24 Correct 35 ms 72532 KB Output is correct
25 Correct 34 ms 72528 KB Output is correct
26 Correct 32 ms 72528 KB Output is correct
27 Correct 32 ms 72536 KB Output is correct
28 Correct 32 ms 72540 KB Output is correct
29 Correct 33 ms 72568 KB Output is correct
30 Correct 33 ms 72532 KB Output is correct
31 Correct 33 ms 72540 KB Output is correct
32 Correct 32 ms 72532 KB Output is correct
33 Correct 32 ms 72532 KB Output is correct
34 Correct 32 ms 72528 KB Output is correct
35 Correct 33 ms 72540 KB Output is correct
36 Correct 32 ms 72532 KB Output is correct
37 Correct 32 ms 72324 KB Output is correct
38 Correct 39 ms 72532 KB Output is correct
39 Correct 31 ms 72536 KB Output is correct
40 Correct 32 ms 72540 KB Output is correct
41 Correct 32 ms 72536 KB Output is correct
42 Correct 32 ms 72540 KB Output is correct
43 Correct 32 ms 72284 KB Output is correct
44 Correct 32 ms 72532 KB Output is correct
45 Correct 34 ms 72532 KB Output is correct
46 Correct 37 ms 72752 KB Output is correct
47 Correct 38 ms 72788 KB Output is correct
48 Correct 38 ms 72796 KB Output is correct
49 Correct 36 ms 73308 KB Output is correct
50 Correct 38 ms 73224 KB Output is correct
51 Correct 37 ms 73048 KB Output is correct
52 Correct 36 ms 73044 KB Output is correct
53 Correct 35 ms 73048 KB Output is correct
54 Correct 35 ms 73048 KB Output is correct
55 Correct 35 ms 73052 KB Output is correct
56 Correct 35 ms 73044 KB Output is correct
57 Correct 38 ms 72796 KB Output is correct
58 Correct 40 ms 72784 KB Output is correct
59 Correct 41 ms 72796 KB Output is correct
60 Correct 40 ms 72776 KB Output is correct
61 Correct 36 ms 73044 KB Output is correct
62 Correct 34 ms 73304 KB Output is correct
63 Correct 36 ms 72880 KB Output is correct
64 Correct 38 ms 72796 KB Output is correct
65 Correct 44 ms 72792 KB Output is correct
66 Correct 36 ms 72660 KB Output is correct
67 Correct 37 ms 72676 KB Output is correct
68 Correct 35 ms 73048 KB Output is correct
69 Correct 35 ms 73052 KB Output is correct
70 Correct 35 ms 72936 KB Output is correct
71 Correct 35 ms 72784 KB Output is correct
72 Correct 38 ms 73180 KB Output is correct
73 Correct 38 ms 72528 KB Output is correct
74 Correct 34 ms 72788 KB Output is correct
75 Correct 35 ms 73048 KB Output is correct
76 Correct 35 ms 73000 KB Output is correct
77 Correct 36 ms 72796 KB Output is correct
78 Correct 35 ms 73040 KB Output is correct
79 Correct 35 ms 72796 KB Output is correct
80 Correct 35 ms 72796 KB Output is correct
81 Correct 36 ms 72792 KB Output is correct
82 Correct 36 ms 72796 KB Output is correct
83 Correct 37 ms 72784 KB Output is correct
84 Correct 34 ms 72784 KB Output is correct
85 Correct 35 ms 72796 KB Output is correct
86 Correct 35 ms 72532 KB Output is correct

Subtask #3
84.0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 72272 KB Output is correct
2 Correct 31 ms 72284 KB Output is correct
3 Correct 32 ms 72284 KB Output is correct
4 Correct 33 ms 72488 KB Output is correct
5 Correct 33 ms 72540 KB Output is correct
6 Correct 32 ms 72540 KB Output is correct
7 Correct 32 ms 72540 KB Output is correct
8 Correct 32 ms 72512 KB Output is correct
9 Correct 32 ms 72536 KB Output is correct
10 Correct 32 ms 72536 KB Output is correct
11 Correct 32 ms 72540 KB Output is correct
12 Correct 32 ms 72524 KB Output is correct
13 Correct 31 ms 72540 KB Output is correct
14 Correct 32 ms 72540 KB Output is correct
15 Correct 32 ms 72532 KB Output is correct
16 Correct 32 ms 72528 KB Output is correct
17 Correct 32 ms 72540 KB Output is correct
18 Correct 32 ms 72540 KB Output is correct
19 Correct 33 ms 72792 KB Output is correct
20 Correct 32 ms 72532 KB Output is correct
21 Correct 33 ms 72540 KB Output is correct
22 Correct 35 ms 72540 KB Output is correct
23 Correct 36 ms 72532 KB Output is correct
24 Correct 35 ms 72532 KB Output is correct
25 Correct 34 ms 72528 KB Output is correct
26 Correct 32 ms 72528 KB Output is correct
27 Correct 32 ms 72536 KB Output is correct
28 Correct 32 ms 72540 KB Output is correct
29 Correct 33 ms 72568 KB Output is correct
30 Correct 33 ms 72532 KB Output is correct
31 Correct 33 ms 72540 KB Output is correct
32 Correct 32 ms 72532 KB Output is correct
33 Correct 32 ms 72532 KB Output is correct
34 Correct 32 ms 72528 KB Output is correct
35 Correct 33 ms 72540 KB Output is correct
36 Correct 32 ms 72532 KB Output is correct
37 Correct 32 ms 72324 KB Output is correct
38 Correct 39 ms 72532 KB Output is correct
39 Correct 31 ms 72536 KB Output is correct
40 Correct 32 ms 72540 KB Output is correct
41 Correct 32 ms 72536 KB Output is correct
42 Correct 32 ms 72540 KB Output is correct
43 Correct 32 ms 72284 KB Output is correct
44 Correct 32 ms 72532 KB Output is correct
45 Correct 34 ms 72532 KB Output is correct
46 Correct 37 ms 72752 KB Output is correct
47 Correct 38 ms 72788 KB Output is correct
48 Correct 38 ms 72796 KB Output is correct
49 Correct 36 ms 73308 KB Output is correct
50 Correct 38 ms 73224 KB Output is correct
51 Correct 37 ms 73048 KB Output is correct
52 Correct 36 ms 73044 KB Output is correct
53 Correct 35 ms 73048 KB Output is correct
54 Correct 35 ms 73048 KB Output is correct
55 Correct 35 ms 73052 KB Output is correct
56 Correct 35 ms 73044 KB Output is correct
57 Correct 38 ms 72796 KB Output is correct
58 Correct 40 ms 72784 KB Output is correct
59 Correct 41 ms 72796 KB Output is correct
60 Correct 40 ms 72776 KB Output is correct
61 Correct 36 ms 73044 KB Output is correct
62 Correct 34 ms 73304 KB Output is correct
63 Correct 36 ms 72880 KB Output is correct
64 Correct 38 ms 72796 KB Output is correct
65 Correct 44 ms 72792 KB Output is correct
66 Correct 36 ms 72660 KB Output is correct
67 Correct 37 ms 72676 KB Output is correct
68 Correct 35 ms 73048 KB Output is correct
69 Correct 35 ms 73052 KB Output is correct
70 Correct 35 ms 72936 KB Output is correct
71 Correct 35 ms 72784 KB Output is correct
72 Correct 38 ms 73180 KB Output is correct
73 Correct 38 ms 72528 KB Output is correct
74 Correct 34 ms 72788 KB Output is correct
75 Correct 35 ms 73048 KB Output is correct
76 Correct 35 ms 73000 KB Output is correct
77 Correct 36 ms 72796 KB Output is correct
78 Correct 35 ms 73040 KB Output is correct
79 Correct 35 ms 72796 KB Output is correct
80 Correct 35 ms 72796 KB Output is correct
81 Correct 36 ms 72792 KB Output is correct
82 Correct 36 ms 72796 KB Output is correct
83 Correct 37 ms 72784 KB Output is correct
84 Correct 34 ms 72784 KB Output is correct
85 Correct 35 ms 72796 KB Output is correct
86 Correct 35 ms 72532 KB Output is correct
87 Correct 46 ms 73556 KB Output is correct
88 Correct 83 ms 75860 KB Output is correct
89 Correct 233 ms 84308 KB Output is correct
90 Correct 238 ms 84696 KB Output is correct
91 Correct 229 ms 84376 KB Output is correct
92 Correct 154 ms 92608 KB Output is correct
93 Correct 161 ms 92856 KB Output is correct
94 Correct 151 ms 92752 KB Output is correct
95 Correct 148 ms 88992 KB Output is correct
96 Correct 158 ms 89576 KB Output is correct
97 Correct 148 ms 89236 KB Output is correct
98 Correct 147 ms 89300 KB Output is correct
99 Correct 149 ms 88572 KB Output is correct
100 Correct 283 ms 83796 KB Output is correct
101 Correct 319 ms 84236 KB Output is correct
102 Correct 330 ms 84268 KB Output is correct
103 Correct 319 ms 84184 KB Output is correct
104 Correct 159 ms 88748 KB Output is correct
105 Correct 157 ms 88400 KB Output is correct
106 Correct 154 ms 88404 KB Output is correct
107 Correct 191 ms 82836 KB Output is correct
108 Correct 186 ms 78716 KB Output is correct
109 Correct 215 ms 80272 KB Output is correct
110 Correct 111 ms 87120 KB Output is correct
111 Correct 144 ms 88856 KB Output is correct
112 Correct 103 ms 83656 KB Output is correct
113 Correct 106 ms 82772 KB Output is correct
114 Correct 297 ms 83792 KB Output is correct
115 Correct 274 ms 78752 KB Output is correct
116 Correct 108 ms 82964 KB Output is correct
117 Correct 156 ms 85904 KB Output is correct
118 Correct 149 ms 85328 KB Output is correct
119 Correct 152 ms 85116 KB Output is correct
120 Correct 112 ms 80720 KB Output is correct
121 Correct 111 ms 80212 KB Output is correct
122 Correct 108 ms 80008 KB Output is correct
123 Correct 156 ms 86100 KB Output is correct
124 Correct 156 ms 85380 KB Output is correct
125 Correct 162 ms 85076 KB Output is correct
126 Correct 125 ms 80976 KB Output is correct
127 Correct 117 ms 80396 KB Output is correct
128 Correct 117 ms 79948 KB Output is correct