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Submission #974589

# Submission time Handle Problem Language Result Execution time Memory
974589 2024-05-03T13:34:43 Z Lecorbio Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 275 ms 51984 KB 
#include <bits/stdc++.h>
#define fi first
#define se second
#define sajz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
using namespace std;
typedef long long ll;
typedef unsigned long long ull;

const int N = 2e5+7, P = 19;
int n, timer = -1, p[N], d[N], tin[N], tout[N], up[N][P]; 
int par[N], sz[N], mx[N], pos[N]; ll dp[N];
vector<int> g[N];

void dfs(int v, int parent){
	tin[v] = ++timer;
	up[v][0] = parent;
	for (int i=1; i<P; i++) up[v][i] = up[up[v][i-1]][i-1];
	for (auto u : g[v]){ 
		if (u == parent) continue;
		d[u] = d[v] + 1;
		dfs(u, v);
	}
	tout[v] = timer;
}

bool ancestor(int a, int b){return tin[a] <= tin[b] && tout[a] >= tout[b];}
int lca(int a, int b){
	if (ancestor(a, b)) return a;
	for (int i=P-1; i>=0; i--){
		if (!ancestor(up[a][i], b)) a = up[a][i];
	}
	return up[a][0];
}

int Find(int a){return a == par[a] ? a : par[a] = Find(par[a]);}
void Union(int a, int b){
	a = Find(a); b = Find(b);
	if (a != b){
		if (sz[a] < sz[b]) swap(a, b);
		sz[a] += sz[b];
		par[b] = a;
		mx[a] = max(mx[a], mx[b]);
	}
}

int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    
    cin >> n;
    vector<pair<int,int>> sorted;
    for (int i=1; i<=n; i++){ 
		cin >> p[i];
		sz[i] = 1;
		par[i] = i;
		mx[i] = p[i];
		pos[p[i]] = i;
		sorted.push_back({p[i], i});
	}
	sort(all(sorted));
    for (int i=0; i<n-1; i++){
		int a, b; cin >> a >> b;
		g[a].push_back(b);
		g[b].push_back(a);
	}
	
	dfs(1, 1);
	
	int res = 0;
	for (auto [val, v] : sorted){
		for (auto u : g[v]){
			if (p[u] < val){
				int x = pos[mx[Find(u)]];
				ll dist = d[v] + d[x] - 2 * d[lca(v, x)];
				dp[v] = max(dp[v], dp[x] + dist);
				Union(v, u);
			}
		}
		if (val == n){cout << dp[v] << '\n'; return 0;}
	}
 
    return 0;
}
/*

4
3 4 1 2
1 2
2 3
3 4

*/

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:70:6: warning: unused variable 'res' [-Wunused-variable]
   70 |  int res = 0;
      |      ^~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 2 ms 14940 KB Output is correct
13 Correct 2 ms 14940 KB Output is correct
14 Correct 2 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14996 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 2 ms 14940 KB Output is correct
13 Correct 2 ms 14940 KB Output is correct
14 Correct 2 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14996 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 5 ms 15704 KB Output is correct
19 Correct 5 ms 15452 KB Output is correct
20 Correct 5 ms 15516 KB Output is correct
21 Correct 5 ms 15508 KB Output is correct
22 Correct 5 ms 15452 KB Output is correct
23 Correct 5 ms 15448 KB Output is correct
24 Correct 5 ms 15452 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 2 ms 14940 KB Output is correct
13 Correct 2 ms 14940 KB Output is correct
14 Correct 2 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14996 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 5 ms 15704 KB Output is correct
19 Correct 5 ms 15452 KB Output is correct
20 Correct 5 ms 15516 KB Output is correct
21 Correct 5 ms 15508 KB Output is correct
22 Correct 5 ms 15452 KB Output is correct
23 Correct 5 ms 15448 KB Output is correct
24 Correct 5 ms 15452 KB Output is correct
25 Correct 3 ms 14940 KB Output is correct
26 Correct 5 ms 15196 KB Output is correct
27 Correct 5 ms 15196 KB Output is correct
28 Correct 5 ms 15248 KB Output is correct
29 Correct 5 ms 15196 KB Output is correct
30 Correct 6 ms 15212 KB Output is correct
31 Correct 6 ms 15196 KB Output is correct
32 Correct 5 ms 15196 KB Output is correct
33 Correct 6 ms 15196 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 2 ms 14940 KB Output is correct
13 Correct 2 ms 14940 KB Output is correct
14 Correct 2 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14996 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 5 ms 15704 KB Output is correct
19 Correct 5 ms 15452 KB Output is correct
20 Correct 5 ms 15516 KB Output is correct
21 Correct 5 ms 15508 KB Output is correct
22 Correct 5 ms 15452 KB Output is correct
23 Correct 5 ms 15448 KB Output is correct
24 Correct 5 ms 15452 KB Output is correct
25 Correct 111 ms 48068 KB Output is correct
26 Correct 115 ms 51860 KB Output is correct
27 Correct 126 ms 51756 KB Output is correct
28 Correct 165 ms 51984 KB Output is correct
29 Correct 163 ms 51904 KB Output is correct
30 Correct 163 ms 51908 KB Output is correct
31 Correct 189 ms 51920 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 166 ms 35528 KB Output is correct
4 Correct 144 ms 35524 KB Output is correct
5 Correct 157 ms 35780 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 14940 KB Output is correct
2 Correct 2 ms 14940 KB Output is correct
3 Correct 2 ms 14936 KB Output is correct
4 Correct 2 ms 14940 KB Output is correct
5 Correct 4 ms 14940 KB Output is correct
6 Correct 2 ms 14940 KB Output is correct
7 Correct 4 ms 14940 KB Output is correct
8 Correct 2 ms 14940 KB Output is correct
9 Correct 2 ms 14940 KB Output is correct
10 Correct 3 ms 14940 KB Output is correct
11 Correct 3 ms 14936 KB Output is correct
12 Correct 2 ms 14940 KB Output is correct
13 Correct 2 ms 14940 KB Output is correct
14 Correct 2 ms 14940 KB Output is correct
15 Correct 3 ms 14940 KB Output is correct
16 Correct 3 ms 14996 KB Output is correct
17 Correct 3 ms 14940 KB Output is correct
18 Correct 5 ms 15704 KB Output is correct
19 Correct 5 ms 15452 KB Output is correct
20 Correct 5 ms 15516 KB Output is correct
21 Correct 5 ms 15508 KB Output is correct
22 Correct 5 ms 15452 KB Output is correct
23 Correct 5 ms 15448 KB Output is correct
24 Correct 5 ms 15452 KB Output is correct
25 Correct 3 ms 14940 KB Output is correct
26 Correct 5 ms 15196 KB Output is correct
27 Correct 5 ms 15196 KB Output is correct
28 Correct 5 ms 15248 KB Output is correct
29 Correct 5 ms 15196 KB Output is correct
30 Correct 6 ms 15212 KB Output is correct
31 Correct 6 ms 15196 KB Output is correct
32 Correct 5 ms 15196 KB Output is correct
33 Correct 6 ms 15196 KB Output is correct
34 Correct 111 ms 48068 KB Output is correct
35 Correct 115 ms 51860 KB Output is correct
36 Correct 126 ms 51756 KB Output is correct
37 Correct 165 ms 51984 KB Output is correct
38 Correct 163 ms 51904 KB Output is correct
39 Correct 163 ms 51908 KB Output is correct
40 Correct 189 ms 51920 KB Output is correct
41 Correct 2 ms 14940 KB Output is correct
42 Correct 2 ms 14940 KB Output is correct
43 Correct 166 ms 35528 KB Output is correct
44 Correct 144 ms 35524 KB Output is correct
45 Correct 157 ms 35780 KB Output is correct
46 Correct 275 ms 46188 KB Output is correct
47 Correct 254 ms 45052 KB Output is correct
48 Correct 266 ms 46736 KB Output is correct
49 Correct 257 ms 45196 KB Output is correct
50 Correct 237 ms 39352 KB Output is correct
51 Correct 224 ms 39368 KB Output is correct
52 Correct 225 ms 39376 KB Output is correct
53 Correct 228 ms 39364 KB Output is correct