Submission #914196

# Submission time Handle Problem Language Result Execution time Memory
914196 2024-01-21T10:47:02 Z mychecksedad Cat Exercise (JOI23_ho_t4) C++17
100 / 100
255 ms 101308 KB
/* Author : Mychecksdead  */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 1e6+100, M = 1e5+10, K = 52, MX = 30;


ll dp[N], dep[N];
int _lca(int u, int v);
struct Dsu{
  vector<int> s, p, mx;
  Dsu(int n){
    s.resize(n+1, 1);
    p.resize(n+1);
    mx.resize(n+1);
    for(int i = 1; i <= n; ++i) p[i] = i, mx[i] = i;
  }
  int find(int v){
    if(p[v] == v) return v;
    return p[v] = find(p[v]);
  }
  void merge(int a, int b){
    int u = find(a);
    int v = find(b); // b is the bigger vertex
    if(u != v){
      // cout << a << ' ' << b << ' ' <<mx[u] << '\n';
      dp[b] = max(dp[b], dp[mx[u]] + dep[mx[u]] + dep[b] - 2 * dep[_lca(mx[u], b)]);
      if(s[u] < s[v]) swap(u, v);
      mx[u] = max(mx[v], mx[u]);
      p[v] = u;
      s[u] += s[v];
    }
  }
};


int n, a[N], timer=0, tin[N], tout[N], up[N][K];
vector<array<int, 2>> edges;
vector<int> g[N];

void dfs(int v, int p){
  dep[v] = dep[p] + 1;
  up[v][0] = p;
  tin[v] = timer++;
  for(int u: g[v]) if(u != p) dfs(u, v);
  tout[v] = timer++;
}
bool is(int u, int v){
  return tin[u] <= tin[v] && tout[v] <= tout[u];
}
int _lca(int u, int v){
  if(is(u, v)) return u;
  if(is(v, u)) return v;
  for(int j = K-1; j >= 0; --j) if(!is(up[u][j], v)) u = up[u][j];
  return up[u][0];
}

void solve(){
  cin >> n;
  for(int i = 1; i <= n; ++i) cin >> a[i];

  for(int i = 0; i < n-1; ++i){
    int u, v; cin >> u >> v;
    u = a[u], v = a[v];
    g[u].pb(v);
    g[v].pb(u);
    edges.pb({max(u, v), min(u, v)});
  }
  sort(all(edges));
  dep[1] = 0;
  dfs(1, 1);
  for(int j = 1; j < K; ++j) for(int i = 1; i <= n; ++i) up[i][j] = up[up[i][j - 1]][j - 1];

  Dsu d(n);

  for(auto e: edges){
    int u = e[0], v = e[1];
    // cout << u << ' ' << v << '\n';
    d.merge(v, u);
  }
  // for(int i = 1; i <= n; ++i) cout << dp[i] << ' ';


  cout << dp[n];
}



int main(){
  cin.tie(0); ios::sync_with_stdio(0);
  int tt = 1, aa;
  // freopen("in.txt", "r", stdin);
  // freopen("out.txt", "w", stdout);
  // cin >> tt;
  while(tt--){
    solve();
    en;
  }
  cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
  return 0;
} 

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:96:15: warning: unused variable 'aa' [-Wunused-variable]
   96 |   int tt = 1, aa;
      |               ^~
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
11 Correct 9 ms 33624 KB Output is correct
12 Correct 8 ms 33372 KB Output is correct
13 Correct 8 ms 33448 KB Output is correct
14 Correct 8 ms 33372 KB Output is correct
15 Correct 8 ms 33372 KB Output is correct
16 Correct 8 ms 33372 KB Output is correct
17 Correct 8 ms 33372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
11 Correct 9 ms 33624 KB Output is correct
12 Correct 8 ms 33372 KB Output is correct
13 Correct 8 ms 33448 KB Output is correct
14 Correct 8 ms 33372 KB Output is correct
15 Correct 8 ms 33372 KB Output is correct
16 Correct 8 ms 33372 KB Output is correct
17 Correct 8 ms 33372 KB Output is correct
18 Correct 12 ms 33884 KB Output is correct
19 Correct 11 ms 33928 KB Output is correct
20 Correct 11 ms 33884 KB Output is correct
21 Correct 11 ms 33988 KB Output is correct
22 Correct 12 ms 33884 KB Output is correct
23 Correct 12 ms 33884 KB Output is correct
24 Correct 11 ms 33884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
11 Correct 9 ms 33624 KB Output is correct
12 Correct 8 ms 33372 KB Output is correct
13 Correct 8 ms 33448 KB Output is correct
14 Correct 8 ms 33372 KB Output is correct
15 Correct 8 ms 33372 KB Output is correct
16 Correct 8 ms 33372 KB Output is correct
17 Correct 8 ms 33372 KB Output is correct
18 Correct 12 ms 33884 KB Output is correct
19 Correct 11 ms 33928 KB Output is correct
20 Correct 11 ms 33884 KB Output is correct
21 Correct 11 ms 33988 KB Output is correct
22 Correct 12 ms 33884 KB Output is correct
23 Correct 12 ms 33884 KB Output is correct
24 Correct 11 ms 33884 KB Output is correct
25 Correct 8 ms 33368 KB Output is correct
26 Correct 12 ms 33884 KB Output is correct
27 Correct 13 ms 34020 KB Output is correct
28 Correct 11 ms 33880 KB Output is correct
29 Correct 11 ms 34016 KB Output is correct
30 Correct 12 ms 33740 KB Output is correct
31 Correct 13 ms 33660 KB Output is correct
32 Correct 11 ms 33628 KB Output is correct
33 Correct 11 ms 33628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
11 Correct 9 ms 33624 KB Output is correct
12 Correct 8 ms 33372 KB Output is correct
13 Correct 8 ms 33448 KB Output is correct
14 Correct 8 ms 33372 KB Output is correct
15 Correct 8 ms 33372 KB Output is correct
16 Correct 8 ms 33372 KB Output is correct
17 Correct 8 ms 33372 KB Output is correct
18 Correct 12 ms 33884 KB Output is correct
19 Correct 11 ms 33928 KB Output is correct
20 Correct 11 ms 33884 KB Output is correct
21 Correct 11 ms 33988 KB Output is correct
22 Correct 12 ms 33884 KB Output is correct
23 Correct 12 ms 33884 KB Output is correct
24 Correct 11 ms 33884 KB Output is correct
25 Correct 241 ms 96704 KB Output is correct
26 Correct 161 ms 101132 KB Output is correct
27 Correct 162 ms 101308 KB Output is correct
28 Correct 226 ms 100896 KB Output is correct
29 Correct 194 ms 96800 KB Output is correct
30 Correct 175 ms 99772 KB Output is correct
31 Correct 180 ms 98752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 8 ms 33372 KB Output is correct
2 Correct 9 ms 33368 KB Output is correct
3 Correct 214 ms 91800 KB Output is correct
4 Correct 205 ms 92092 KB Output is correct
5 Correct 212 ms 91836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 11 ms 33372 KB Output is correct
2 Correct 8 ms 33372 KB Output is correct
3 Correct 9 ms 33372 KB Output is correct
4 Correct 7 ms 33368 KB Output is correct
5 Correct 8 ms 33372 KB Output is correct
6 Correct 8 ms 33368 KB Output is correct
7 Correct 8 ms 33372 KB Output is correct
8 Correct 8 ms 33368 KB Output is correct
9 Correct 8 ms 33372 KB Output is correct
10 Correct 8 ms 33372 KB Output is correct
11 Correct 9 ms 33624 KB Output is correct
12 Correct 8 ms 33372 KB Output is correct
13 Correct 8 ms 33448 KB Output is correct
14 Correct 8 ms 33372 KB Output is correct
15 Correct 8 ms 33372 KB Output is correct
16 Correct 8 ms 33372 KB Output is correct
17 Correct 8 ms 33372 KB Output is correct
18 Correct 12 ms 33884 KB Output is correct
19 Correct 11 ms 33928 KB Output is correct
20 Correct 11 ms 33884 KB Output is correct
21 Correct 11 ms 33988 KB Output is correct
22 Correct 12 ms 33884 KB Output is correct
23 Correct 12 ms 33884 KB Output is correct
24 Correct 11 ms 33884 KB Output is correct
25 Correct 8 ms 33368 KB Output is correct
26 Correct 12 ms 33884 KB Output is correct
27 Correct 13 ms 34020 KB Output is correct
28 Correct 11 ms 33880 KB Output is correct
29 Correct 11 ms 34016 KB Output is correct
30 Correct 12 ms 33740 KB Output is correct
31 Correct 13 ms 33660 KB Output is correct
32 Correct 11 ms 33628 KB Output is correct
33 Correct 11 ms 33628 KB Output is correct
34 Correct 241 ms 96704 KB Output is correct
35 Correct 161 ms 101132 KB Output is correct
36 Correct 162 ms 101308 KB Output is correct
37 Correct 226 ms 100896 KB Output is correct
38 Correct 194 ms 96800 KB Output is correct
39 Correct 175 ms 99772 KB Output is correct
40 Correct 180 ms 98752 KB Output is correct
41 Correct 8 ms 33372 KB Output is correct
42 Correct 9 ms 33368 KB Output is correct
43 Correct 214 ms 91800 KB Output is correct
44 Correct 205 ms 92092 KB Output is correct
45 Correct 212 ms 91836 KB Output is correct
46 Correct 181 ms 98496 KB Output is correct
47 Correct 168 ms 98824 KB Output is correct
48 Correct 174 ms 98496 KB Output is correct
49 Correct 170 ms 98692 KB Output is correct
50 Correct 255 ms 92476 KB Output is correct
51 Correct 227 ms 92048 KB Output is correct
52 Correct 224 ms 92096 KB Output is correct
53 Correct 239 ms 92088 KB Output is correct