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Submission #833013

# Submission time Handle Problem Language Result Execution time Memory
833013 2023-08-21T19:08:59 Z beepbeepsheep Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 390 ms 64888 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;

typedef tree<long long, null_type, less_equal<>,
        rb_tree_tag, tree_order_statistics_node_update>
        ordered_set;
#define ll long long
#define ii pair<ll,ll>

#ifndef DEBUG
#define cerr if (0) cerr
#define endl '\n'
#endif

const ll inf=1e15;
const ll maxn=2e5+5;
const ll mod=1e9+7;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

ll arr[maxn];
ii brr[maxn];
ll par[maxn];
ll dp[maxn];
ll root(ll x){
	if (par[x]==x) return x;
	return par[x]=root(par[x]);
}
void connect(ll a, ll b){
	a=root(a),b=root(b);
	if (arr[a]>arr[b]) swap(a,b);
	par[a]=b;
}
vector<ll> adj[maxn];
ll twok[maxn][22];
ll depth[maxn];
void dfs(ll x, ll p){
	twok[x][0]=p;
	depth[x]=depth[p]+1;
	for (int i=1;i<21;i++){
		ll h=twok[x][i-1];
		twok[x][i]=twok[h][i-1];
	}
	for (auto u:adj[x]){
		if (u==p) continue;
		dfs(u,x);
	}
}
ll lca(ll a, ll b){
	if (depth[a]<depth[b]) swap(a,b);
	for (int i=21;i>=0;i--){
		if (depth[twok[a][i]]>=depth[b]) a=twok[a][i];
	}
	if (a==b) return a;
	for (int i=21;i>=0;i--){
		if (twok[a][i]!=twok[b][i]) a=twok[a][i],b=twok[b][i];
	}
	return twok[a][0];
}
ll dis(ll a, ll b){
	return depth[a]+depth[b]-2*depth[lca(a,b)];
}
int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	ll n;
	cin>>n;
	for (int i=1;i<=n;i++){
		cin>>arr[i];
		brr[i].first=arr[i],brr[i].second=i;
		par[i]=i;
	}
	sort(brr+1,brr+1+n);
	ll a,b;
	for (int i=1;i<n;i++){
		cin>>a>>b;
		adj[a].emplace_back(b);
		adj[b].emplace_back(a);
	}
	dfs(1,0);
	for (ll i=1;i<=n;i++){
		ll x=brr[i].second;
		for (auto u:adj[x]){
			if (arr[u]<arr[x]){
				ll u2=root(u);
				dp[x]=max(dp[x],dp[u2]+dis(x,u2));
				connect(u2,x);	
			}
		}
	}
	cout<<dp[brr[n].second];
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5044 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5044 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 5 ms 6612 KB Output is correct
19 Correct 5 ms 6612 KB Output is correct
20 Correct 5 ms 6620 KB Output is correct
21 Correct 7 ms 6676 KB Output is correct
22 Correct 5 ms 6612 KB Output is correct
23 Correct 8 ms 6612 KB Output is correct
24 Correct 6 ms 6612 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5044 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 5 ms 6612 KB Output is correct
19 Correct 5 ms 6612 KB Output is correct
20 Correct 5 ms 6620 KB Output is correct
21 Correct 7 ms 6676 KB Output is correct
22 Correct 5 ms 6612 KB Output is correct
23 Correct 8 ms 6612 KB Output is correct
24 Correct 6 ms 6612 KB Output is correct
25 Correct 2 ms 4948 KB Output is correct
26 Correct 6 ms 6484 KB Output is correct
27 Correct 6 ms 6452 KB Output is correct
28 Correct 6 ms 6428 KB Output is correct
29 Correct 6 ms 6456 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6324 KB Output is correct
32 Correct 6 ms 6336 KB Output is correct
33 Correct 7 ms 6356 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5044 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 5 ms 6612 KB Output is correct
19 Correct 5 ms 6612 KB Output is correct
20 Correct 5 ms 6620 KB Output is correct
21 Correct 7 ms 6676 KB Output is correct
22 Correct 5 ms 6612 KB Output is correct
23 Correct 8 ms 6612 KB Output is correct
24 Correct 6 ms 6612 KB Output is correct
25 Correct 160 ms 64808 KB Output is correct
26 Correct 152 ms 64824 KB Output is correct
27 Correct 151 ms 64832 KB Output is correct
28 Correct 224 ms 64872 KB Output is correct
29 Correct 227 ms 64844 KB Output is correct
30 Correct 223 ms 64860 KB Output is correct
31 Correct 238 ms 64888 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5032 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 220 ms 57048 KB Output is correct
4 Correct 225 ms 57104 KB Output is correct
5 Correct 216 ms 56992 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5036 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 2 ms 4948 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 4948 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 3 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5044 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 5 ms 6612 KB Output is correct
19 Correct 5 ms 6612 KB Output is correct
20 Correct 5 ms 6620 KB Output is correct
21 Correct 7 ms 6676 KB Output is correct
22 Correct 5 ms 6612 KB Output is correct
23 Correct 8 ms 6612 KB Output is correct
24 Correct 6 ms 6612 KB Output is correct
25 Correct 2 ms 4948 KB Output is correct
26 Correct 6 ms 6484 KB Output is correct
27 Correct 6 ms 6452 KB Output is correct
28 Correct 6 ms 6428 KB Output is correct
29 Correct 6 ms 6456 KB Output is correct
30 Correct 6 ms 6356 KB Output is correct
31 Correct 7 ms 6324 KB Output is correct
32 Correct 6 ms 6336 KB Output is correct
33 Correct 7 ms 6356 KB Output is correct
34 Correct 160 ms 64808 KB Output is correct
35 Correct 152 ms 64824 KB Output is correct
36 Correct 151 ms 64832 KB Output is correct
37 Correct 224 ms 64872 KB Output is correct
38 Correct 227 ms 64844 KB Output is correct
39 Correct 223 ms 64860 KB Output is correct
40 Correct 238 ms 64888 KB Output is correct
41 Correct 2 ms 5032 KB Output is correct
42 Correct 3 ms 5076 KB Output is correct
43 Correct 220 ms 57048 KB Output is correct
44 Correct 225 ms 57104 KB Output is correct
45 Correct 216 ms 56992 KB Output is correct
46 Correct 387 ms 61160 KB Output is correct
47 Correct 364 ms 60232 KB Output is correct
48 Correct 344 ms 61560 KB Output is correct
49 Correct 390 ms 60352 KB Output is correct
50 Correct 306 ms 56528 KB Output is correct
51 Correct 303 ms 56524 KB Output is correct
52 Correct 358 ms 56520 KB Output is correct
53 Correct 300 ms 56524 KB Output is correct