oj.uz

Submission #999807

# Submission time Handle Problem Language Result Execution time Memory
999807 2024-06-16T07:11:32 Z vjudge1 Construction of Highway (JOI18_construction) C++17
16 / 100
 2000 ms 36520 KB 
#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set =
    tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;

const int N = 100'030;
const int LG = 20;
int up[N][LG], depth[N], n, sz[N], tin[N], tout[N], tim=0;
vector<int> g[N];
int c[N];
void dfs(int at, int p) {
  up[at][0] = p;
  sz[at]=1;
  for(int i = 1;i < LG;i++) {
    up[at][i] = up[up[at][i-1]][i-1];
  }
  for(int to:g[at]) {
    if(to == p)continue;
    depth[to] = depth[at]+1;
    dfs(to, at);
    sz[at]+=sz[to];
  }
}
int lca(int a, int b) {
  if(depth[a] < depth[b])swap(a, b);
  int k = depth[a] - depth[b];
  for(int i = LG-1;i>=0;i--) {
    if(k&(1<<i)) {
      a = up[a][i];
    }
  }
  if(a==b)return a;
  for(int i = LG-1;i>=0;i--) {
    if(up[a][i] != up[b][i]) {
      a=up[a][i];
      b=up[b][i];
    }
  }
  return up[a][0];
}
struct node {
  int mx, mn;
  node() {
    mx=-1e9;
    mn=1e9;
  }
};
node merge(node A, node B) {
  node res;
  res.mx = max(A.mx, B.mx);
  res.mn = min(A.mn, B.mn);
  return res;
}
struct DS1 {
  vector<node> T;
  vector<int> lz;
  DS1() {
    T.resize(4*N);
    lz=vector<int>(4*N, -1);
  }
  void update(int l, int r, int val) {
    for(int i = l;i<=r;i++)T[i].mx = T[i].mn = val;
  }
  node query(int l, int r) {
    node s;
    for(int i = l;i<=r;i++)s=merge(s, T[i]);
    return s;
  }
//  void push(int v) {
//    if(lz[v] == -1)return;
//    lz[2*v] = lz[v];
//    lz[2*v+1] = lz[v];
//    T[2*v].mx = T[2*v].mn = lz[v];
//    T[2*v+1].mx = T[2*v+1].mn = lz[v];
//    lz[v] = -1;
//  }
//  void update(int l, int r, int val, int tl=0, int tr=N-1, int v=1) {
//    if(l>tr or r<tl)return;
//    if(tl <= l and r <= tr) {
//      lz[v] = val;
//      T[v].mx = val;
//      T[v].mn = val;
//      return;
//    }
//    int tm=(tl+tr)/2;
//    push(v);
//    update(l, r, val, tl, tm, 2*v);
//    update(l, r, val, tm+1, tr, 2*v+1);
//    T[v] = merge(T[2*v], T[2*v+1]);
//  }
//  node query(int l, int r, int tl=0, int tr = N-1, int v=1) {
//    if(l > tr and r<tl)return node();
//    if(tl <= l and r <= tr)
//      return T[v];
//    int tm=(tl+tr)/2;
//    push(v);
//    return merge(query(l, r, tl, tm, 2*v), query(l, r, tm+1, tr, 2*v+1));
//  }
};
namespace HLD {
  DS1 ds;
  int tin[N], top[N], tim=0, par[N], V[N];
  void dfs(int at, int p, int tp) {
    tin[at]=++tim;
    top[at]=tp;
    par[at]=p;
    int big=-1;
    for(int to:g[at]) {
      if(to==p)continue;
      if(big==-1 or sz[to]>sz[big]) {
        big=to;
      }
    }
    if(big==-1)return;
    dfs(big, at, tp);
    for(int to:g[at]) {
      if(to==big or to==p)continue;
      dfs(to, at, to);
    }
  }
  int upd(int u,int v, long long val) {
    int ans=0;
    while(top[u]!=top[v]) {
     if(depth[top[u]] < depth[top[v]])swap(u,v);
//     cout << top[u] << " " << u << " " << tin[top[u]] << " " << tin[u] << " " << val << endl;
     ds.update(tin[top[u]], tin[u], val);
     u=par[top[u]];
    }
    if(depth[u]>depth[v])swap(u,v);
    ds.update(tin[u], tin[v], val);
    return ans;
  }
  node query(int u,int v) {
    node ans;
    while(top[u]!=top[v]) {
     if(depth[top[u]] < depth[top[v]])swap(u,v);
     ans=merge(ans, ds.query(tin[top[u]], tin[u]));
     u=par[top[u]];
    }
    if(depth[u]>depth[v])swap(u,v);
    ans=merge(ans, ds.query(tin[u], tin[v]));
    return ans;
  }
  long long get(int u) {
    return ds.query(tin[u], tin[u]).mx;
  }
};
int get(int par) {
  for(int i = LG-1;i>=0;i--) {
    if(up[par][i]==0)continue;
    node res = HLD::query(up[par][i], par);
    if(res.mx == res.mn) {
      par = up[par][i];
    }
  }
  return up[par][0];
}
int main () {
  cin.tie(0)->sync_with_stdio(0);
  cin >> n;
  for(int i = 1;i<=n;i++){
    cin >> c[i];
  }
  vector<pair<int,int>> e;
  for(int i = 1;i<n;i++) {
    int a, b;
    cin >> a >> b;
    g[a].push_back(b);
    g[b].push_back(a);
    e.push_back({a, b});
  }
  {
    map<int,int> mp;
    for(int i = 1;i<=n;i++)mp[c[i]] = 1;
    int cc = 0;
    for(auto &i:mp) {
      i.second=cc++;
    }
//    for(int i = 1;i<=n;i++)c[i] = mp[c[i]];
  }
  depth[0]=-1;
  dfs(1, 0);
  HLD::dfs(1, 0, 1);
  int cnt=0;
  for(int i = 1;i<=n;i++) {
    HLD::upd(i, i, c[i]);
  }
  for(auto [a, b]:e) {
    int ans = 0;
    ordered_set<int> s;
    int cur=a;
    int prev =0;
    do {
      int par = get(cur);
      int val = HLD::get(cur);
      for(int i = 0;i<depth[cur]-depth[par];i++){ 
        ans+=s.order_of_key(val);
        s.insert(val);
      }
      cur = par;
    }while(cur!=0);
    cur=a;
    HLD::upd(1, a, c[b]);
    cout << ans << "\n";
  }
  return 0;
}

Compilation message

construction.cpp: In function 'int main()':
construction.cpp:198:9: warning: unused variable 'prev' [-Wunused-variable]
  198 |     int prev =0;
      |         ^~~~
construction.cpp:190:7: warning: unused variable 'cnt' [-Wunused-variable]
  190 |   int cnt=0;
      |       ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11096 KB Output is correct
2 Correct 3 ms 11100 KB Output is correct
3 Correct 3 ms 11100 KB Output is correct
4 Correct 5 ms 11244 KB Output is correct
5 Correct 3 ms 11356 KB Output is correct
6 Correct 4 ms 11388 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 12 ms 11352 KB Output is correct
9 Correct 12 ms 11356 KB Output is correct
10 Correct 14 ms 11356 KB Output is correct
11 Correct 7 ms 11356 KB Output is correct
12 Correct 7 ms 11400 KB Output is correct
13 Correct 7 ms 11356 KB Output is correct
14 Correct 7 ms 11356 KB Output is correct
15 Correct 4 ms 11356 KB Output is correct
16 Correct 4 ms 11352 KB Output is correct
17 Correct 4 ms 11356 KB Output is correct
18 Correct 6 ms 11356 KB Output is correct
19 Correct 7 ms 11352 KB Output is correct
20 Correct 7 ms 11356 KB Output is correct
21 Correct 10 ms 11336 KB Output is correct
22 Correct 6 ms 11352 KB Output is correct
23 Correct 5 ms 11356 KB Output is correct
24 Correct 3 ms 11356 KB Output is correct
25 Correct 3 ms 11352 KB Output is correct
26 Correct 12 ms 11336 KB Output is correct
27 Correct 7 ms 11312 KB Output is correct
28 Correct 7 ms 11356 KB Output is correct
29 Correct 7 ms 11296 KB Output is correct
30 Correct 3 ms 11356 KB Output is correct
31 Correct 3 ms 11356 KB Output is correct
32 Correct 7 ms 11388 KB Output is correct
33 Correct 4 ms 11356 KB Output is correct
34 Correct 5 ms 11356 KB Output is correct
35 Correct 3 ms 11356 KB Output is correct
36 Correct 4 ms 11356 KB Output is correct
37 Correct 4 ms 11356 KB Output is correct
38 Correct 4 ms 11356 KB Output is correct
39 Correct 5 ms 11180 KB Output is correct
40 Correct 4 ms 11352 KB Output is correct
41 Correct 3 ms 11356 KB Output is correct
42 Correct 5 ms 11356 KB Output is correct
43 Correct 5 ms 11356 KB Output is correct
44 Correct 5 ms 11356 KB Output is correct

Subtask #2
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11096 KB Output is correct
2 Correct 3 ms 11100 KB Output is correct
3 Correct 3 ms 11100 KB Output is correct
4 Correct 5 ms 11244 KB Output is correct
5 Correct 3 ms 11356 KB Output is correct
6 Correct 4 ms 11388 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 12 ms 11352 KB Output is correct
9 Correct 12 ms 11356 KB Output is correct
10 Correct 14 ms 11356 KB Output is correct
11 Correct 7 ms 11356 KB Output is correct
12 Correct 7 ms 11400 KB Output is correct
13 Correct 7 ms 11356 KB Output is correct
14 Correct 7 ms 11356 KB Output is correct
15 Correct 4 ms 11356 KB Output is correct
16 Correct 4 ms 11352 KB Output is correct
17 Correct 4 ms 11356 KB Output is correct
18 Correct 6 ms 11356 KB Output is correct
19 Correct 7 ms 11352 KB Output is correct
20 Correct 7 ms 11356 KB Output is correct
21 Correct 10 ms 11336 KB Output is correct
22 Correct 6 ms 11352 KB Output is correct
23 Correct 5 ms 11356 KB Output is correct
24 Correct 3 ms 11356 KB Output is correct
25 Correct 3 ms 11352 KB Output is correct
26 Correct 12 ms 11336 KB Output is correct
27 Correct 7 ms 11312 KB Output is correct
28 Correct 7 ms 11356 KB Output is correct
29 Correct 7 ms 11296 KB Output is correct
30 Correct 3 ms 11356 KB Output is correct
31 Correct 3 ms 11356 KB Output is correct
32 Correct 7 ms 11388 KB Output is correct
33 Correct 4 ms 11356 KB Output is correct
34 Correct 5 ms 11356 KB Output is correct
35 Correct 3 ms 11356 KB Output is correct
36 Correct 4 ms 11356 KB Output is correct
37 Correct 4 ms 11356 KB Output is correct
38 Correct 4 ms 11356 KB Output is correct
39 Correct 5 ms 11180 KB Output is correct
40 Correct 4 ms 11352 KB Output is correct
41 Correct 3 ms 11356 KB Output is correct
42 Correct 5 ms 11356 KB Output is correct
43 Correct 5 ms 11356 KB Output is correct
44 Correct 5 ms 11356 KB Output is correct
45 Correct 4 ms 11356 KB Output is correct
46 Correct 8 ms 11768 KB Output is correct
47 Correct 7 ms 11664 KB Output is correct
48 Correct 7 ms 11612 KB Output is correct
49 Correct 763 ms 11868 KB Output is correct
50 Correct 767 ms 11868 KB Output is correct
51 Correct 809 ms 12048 KB Output is correct
52 Correct 376 ms 11868 KB Output is correct
53 Correct 346 ms 11864 KB Output is correct
54 Correct 407 ms 11884 KB Output is correct
55 Correct 350 ms 11868 KB Output is correct
56 Correct 368 ms 11868 KB Output is correct
57 Correct 8 ms 11608 KB Output is correct
58 Correct 9 ms 11612 KB Output is correct
59 Correct 14 ms 11608 KB Output is correct
60 Correct 10 ms 11756 KB Output is correct
61 Correct 378 ms 11868 KB Output is correct
62 Correct 402 ms 11868 KB Output is correct
63 Correct 420 ms 11864 KB Output is correct
64 Correct 7 ms 11356 KB Output is correct
65 Correct 9 ms 11356 KB Output is correct
66 Correct 8 ms 11352 KB Output is correct
67 Correct 7 ms 11612 KB Output is correct
68 Correct 758 ms 12188 KB Output is correct
69 Correct 349 ms 11872 KB Output is correct
70 Correct 353 ms 11976 KB Output is correct
71 Correct 356 ms 11612 KB Output is correct
72 Correct 8 ms 11612 KB Output is correct
73 Correct 9 ms 11356 KB Output is correct
74 Correct 380 ms 11748 KB Output is correct
75 Correct 170 ms 11608 KB Output is correct
76 Correct 125 ms 11612 KB Output is correct
77 Correct 89 ms 11608 KB Output is correct
78 Correct 161 ms 11636 KB Output is correct
79 Correct 101 ms 11608 KB Output is correct
80 Correct 90 ms 11584 KB Output is correct
81 Correct 174 ms 11864 KB Output is correct
82 Correct 111 ms 11608 KB Output is correct
83 Correct 103 ms 11764 KB Output is correct
84 Correct 177 ms 11612 KB Output is correct
85 Correct 114 ms 11612 KB Output is correct
86 Correct 107 ms 11588 KB Output is correct

Subtask #3
0 / 84.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 11096 KB Output is correct
2 Correct 3 ms 11100 KB Output is correct
3 Correct 3 ms 11100 KB Output is correct
4 Correct 5 ms 11244 KB Output is correct
5 Correct 3 ms 11356 KB Output is correct
6 Correct 4 ms 11388 KB Output is correct
7 Correct 3 ms 11356 KB Output is correct
8 Correct 12 ms 11352 KB Output is correct
9 Correct 12 ms 11356 KB Output is correct
10 Correct 14 ms 11356 KB Output is correct
11 Correct 7 ms 11356 KB Output is correct
12 Correct 7 ms 11400 KB Output is correct
13 Correct 7 ms 11356 KB Output is correct
14 Correct 7 ms 11356 KB Output is correct
15 Correct 4 ms 11356 KB Output is correct
16 Correct 4 ms 11352 KB Output is correct
17 Correct 4 ms 11356 KB Output is correct
18 Correct 6 ms 11356 KB Output is correct
19 Correct 7 ms 11352 KB Output is correct
20 Correct 7 ms 11356 KB Output is correct
21 Correct 10 ms 11336 KB Output is correct
22 Correct 6 ms 11352 KB Output is correct
23 Correct 5 ms 11356 KB Output is correct
24 Correct 3 ms 11356 KB Output is correct
25 Correct 3 ms 11352 KB Output is correct
26 Correct 12 ms 11336 KB Output is correct
27 Correct 7 ms 11312 KB Output is correct
28 Correct 7 ms 11356 KB Output is correct
29 Correct 7 ms 11296 KB Output is correct
30 Correct 3 ms 11356 KB Output is correct
31 Correct 3 ms 11356 KB Output is correct
32 Correct 7 ms 11388 KB Output is correct
33 Correct 4 ms 11356 KB Output is correct
34 Correct 5 ms 11356 KB Output is correct
35 Correct 3 ms 11356 KB Output is correct
36 Correct 4 ms 11356 KB Output is correct
37 Correct 4 ms 11356 KB Output is correct
38 Correct 4 ms 11356 KB Output is correct
39 Correct 5 ms 11180 KB Output is correct
40 Correct 4 ms 11352 KB Output is correct
41 Correct 3 ms 11356 KB Output is correct
42 Correct 5 ms 11356 KB Output is correct
43 Correct 5 ms 11356 KB Output is correct
44 Correct 5 ms 11356 KB Output is correct
45 Correct 4 ms 11356 KB Output is correct
46 Correct 8 ms 11768 KB Output is correct
47 Correct 7 ms 11664 KB Output is correct
48 Correct 7 ms 11612 KB Output is correct
49 Correct 763 ms 11868 KB Output is correct
50 Correct 767 ms 11868 KB Output is correct
51 Correct 809 ms 12048 KB Output is correct
52 Correct 376 ms 11868 KB Output is correct
53 Correct 346 ms 11864 KB Output is correct
54 Correct 407 ms 11884 KB Output is correct
55 Correct 350 ms 11868 KB Output is correct
56 Correct 368 ms 11868 KB Output is correct
57 Correct 8 ms 11608 KB Output is correct
58 Correct 9 ms 11612 KB Output is correct
59 Correct 14 ms 11608 KB Output is correct
60 Correct 10 ms 11756 KB Output is correct
61 Correct 378 ms 11868 KB Output is correct
62 Correct 402 ms 11868 KB Output is correct
63 Correct 420 ms 11864 KB Output is correct
64 Correct 7 ms 11356 KB Output is correct
65 Correct 9 ms 11356 KB Output is correct
66 Correct 8 ms 11352 KB Output is correct
67 Correct 7 ms 11612 KB Output is correct
68 Correct 758 ms 12188 KB Output is correct
69 Correct 349 ms 11872 KB Output is correct
70 Correct 353 ms 11976 KB Output is correct
71 Correct 356 ms 11612 KB Output is correct
72 Correct 8 ms 11612 KB Output is correct
73 Correct 9 ms 11356 KB Output is correct
74 Correct 380 ms 11748 KB Output is correct
75 Correct 170 ms 11608 KB Output is correct
76 Correct 125 ms 11612 KB Output is correct
77 Correct 89 ms 11608 KB Output is correct
78 Correct 161 ms 11636 KB Output is correct
79 Correct 101 ms 11608 KB Output is correct
80 Correct 90 ms 11584 KB Output is correct
81 Correct 174 ms 11864 KB Output is correct
82 Correct 111 ms 11608 KB Output is correct
83 Correct 103 ms 11764 KB Output is correct
84 Correct 177 ms 11612 KB Output is correct
85 Correct 114 ms 11612 KB Output is correct
86 Correct 107 ms 11588 KB Output is correct
87 Correct 19 ms 14292 KB Output is correct
88 Correct 49 ms 16644 KB Output is correct
89 Correct 202 ms 29124 KB Output is correct
90 Correct 195 ms 29132 KB Output is correct
91 Correct 242 ms 29088 KB Output is correct
92 Execution timed out 2036 ms 36520 KB Time limit exceeded
93 Halted 0 ms 0 KB -