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Submission #1088823

# Submission time Handle Problem Language Result Execution time Memory
1088823 2024-09-15T08:51:22 Z peacebringer1667 Cat Exercise (JOI23_ho_t4) C++17
51 / 100
 167 ms 26960 KB 
#include<bits/stdc++.h>
#define ll long long
#define ldb long double
#define fi first
#define se second
#define sza(a) (int)a.size()
#define pir pair<int,int>
#define pirll pair<ll,ll>
using namespace std;
const int maxn = 2e5 + 5;

vector <vector<int>> vec(maxn);
int a[maxn];

int input(int n){
	int root = 0;
	for (int i = 1 ; i <= n ; i++){
		cin >> a[i];
		if (a[i] == n) root = i;
	}
	
	for (int i = 1 ; i < n ; i++){
		int u,v;
		cin >> u >> v;
		vec[u].push_back(v);
		vec[v].push_back(u);
	}
	return root;
}

namespace sub_1_2_3_4{
	bool check(int n){
		return (n <= 5000);
	}
	const int N = 5090;
	
	int node[N],dp[N];
	
	int dfs(int u,int par,int len,int cap){
		int res = dp[u] + len;
		
		for (int v : vec[u])
		  if (v != par && a[v] < cap)
		    res = max(res,dfs(v,u,len + 1,cap));
		return res;
	}
	
	ll solve(int n,int root){
		for (int i = 1 ; i <= n ; i++)
		  node[a[i]] = i;
	    
	    for (int i = 1 ; i <= n ; i++)
	       dp[node[i]] = dfs(node[i],node[i],0,i);
	    
	    return dp[root];
	}
}

namespace sub5{
	const ll inf = 1e17;
	struct segment_tree{
		ll seg[4*maxn];
		
		void init(int l,int r,int v){
			seg[v] = -inf;
		    if (l == r) return;
			
			int w = (l + r)/2;
			init(l,w,2*v + 1);
			init(w + 1,r,2*v + 2);	
		}
		
		void update(int l,int r,int v,int p,ll val){
			if (l > p || r < p) return;
			if (l == r){
				seg[v] = val;
				return;
			}
			
			int w = (l + r)/2;
			update(l,w,2*v + 1,p,val);
			update(w + 1,r,2*v + 2,p,val);
			seg[v] = max(seg[2*v + 1],seg[2*v + 2]);
		}
		
		ll calc(int l,int r,int v,int lx,int rx){
			if (l > rx || r < lx) return -inf;
			if (l >= lx && r <= rx) return seg[v];
			
			int w = (l + r)/2;
			return max(calc(l,w,2*v + 1,lx,rx),calc(w + 1,r,2*v + 2,lx,rx));
		}
	};
	segment_tree U,D;
	
	int node[maxn],nxt[maxn],lst[maxn];
	ll dp[maxn];
	
	void prepare(int n){
		U.init(1,n,0);
		D.init(1,n,0);
		
		for (int i = 1 ; i <= n ; i++){
			nxt[i] = n + 1;
            node[a[i]] = i;
		}
		U.update(1,n,0,node[1],node[1]);
		D.update(1,n,0,node[1],-node[1]);
		
		deque <int> dq;
		for (int i = 1 ; i <= n ; i++){
			while (dq.size() && a[dq.back()] < a[i]) dq.pop_back();
			
			lst[i] = (!dq.size()) ? 1 : (dq.back() + 1);
			dq.push_back(i);
		}
		
		dq.clear();
		for (int i = n ; i > 0 ; i--){
			while (dq.size() && a[dq.back()] < a[i]) dq.pop_back();
			
			nxt[i] = (!dq.size()) ? n : (dq.back() - 1);
	        dq.push_back(i);
		}
	}
	
	ll solve(int n,int root){
	    prepare(n);
	    ll res = 0;
	    
		for (int i = 2 ; i <= n ; i++){
			int p = node[i];
			
			ll v = max(U.calc(1,n,0,p,nxt[p]) - p,D.calc(1,n,0,lst[p],p) + p);
			v = max(v,0LL);
			
			U.update(1,n,0,p,v + p);
			D.update(1,n,0,p,v - p);
			
			res = max(res,v);
		}
	    
	    return res;
	}
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);cout.tie(0);
//	freopen("CAT.inp","r",stdin);
//	freopen("CAT.out","w",stdout);
	int n;
	cin >> n;
	int root = input(n);
	
	if (sub_1_2_3_4::check(n)){
	  cout << sub_1_2_3_4::solve(n,root);
      return 0;
	}
	

	cout << sub5::solve(n,root);

	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5056 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5056 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 85 ms 5776 KB Output is correct
19 Correct 76 ms 5804 KB Output is correct
20 Correct 82 ms 5904 KB Output is correct
21 Correct 4 ms 5724 KB Output is correct
22 Correct 4 ms 5468 KB Output is correct
23 Correct 4 ms 5468 KB Output is correct
24 Correct 3 ms 5468 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5056 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 85 ms 5776 KB Output is correct
19 Correct 76 ms 5804 KB Output is correct
20 Correct 82 ms 5904 KB Output is correct
21 Correct 4 ms 5724 KB Output is correct
22 Correct 4 ms 5468 KB Output is correct
23 Correct 4 ms 5468 KB Output is correct
24 Correct 3 ms 5468 KB Output is correct
25 Correct 2 ms 5172 KB Output is correct
26 Correct 87 ms 5632 KB Output is correct
27 Correct 92 ms 5468 KB Output is correct
28 Correct 96 ms 5716 KB Output is correct
29 Correct 90 ms 5716 KB Output is correct
30 Correct 7 ms 5464 KB Output is correct
31 Correct 10 ms 5472 KB Output is correct
32 Correct 8 ms 5464 KB Output is correct
33 Correct 8 ms 5212 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5056 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 85 ms 5776 KB Output is correct
19 Correct 76 ms 5804 KB Output is correct
20 Correct 82 ms 5904 KB Output is correct
21 Correct 4 ms 5724 KB Output is correct
22 Correct 4 ms 5468 KB Output is correct
23 Correct 4 ms 5468 KB Output is correct
24 Correct 3 ms 5468 KB Output is correct
25 Correct 125 ms 26960 KB Output is correct
26 Correct 117 ms 26788 KB Output is correct
27 Correct 118 ms 26772 KB Output is correct
28 Correct 167 ms 26392 KB Output is correct
29 Correct 161 ms 26444 KB Output is correct
30 Correct 166 ms 26452 KB Output is correct
31 Correct 155 ms 26436 KB Output is correct

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Incorrect 158 ms 26212 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4952 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 2 ms 4956 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 4956 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 4956 KB Output is correct
8 Correct 2 ms 4956 KB Output is correct
9 Correct 2 ms 4952 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5212 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5212 KB Output is correct
16 Correct 2 ms 5056 KB Output is correct
17 Correct 2 ms 5212 KB Output is correct
18 Correct 85 ms 5776 KB Output is correct
19 Correct 76 ms 5804 KB Output is correct
20 Correct 82 ms 5904 KB Output is correct
21 Correct 4 ms 5724 KB Output is correct
22 Correct 4 ms 5468 KB Output is correct
23 Correct 4 ms 5468 KB Output is correct
24 Correct 3 ms 5468 KB Output is correct
25 Correct 2 ms 5172 KB Output is correct
26 Correct 87 ms 5632 KB Output is correct
27 Correct 92 ms 5468 KB Output is correct
28 Correct 96 ms 5716 KB Output is correct
29 Correct 90 ms 5716 KB Output is correct
30 Correct 7 ms 5464 KB Output is correct
31 Correct 10 ms 5472 KB Output is correct
32 Correct 8 ms 5464 KB Output is correct
33 Correct 8 ms 5212 KB Output is correct
34 Correct 125 ms 26960 KB Output is correct
35 Correct 117 ms 26788 KB Output is correct
36 Correct 118 ms 26772 KB Output is correct
37 Correct 167 ms 26392 KB Output is correct
38 Correct 161 ms 26444 KB Output is correct
39 Correct 166 ms 26452 KB Output is correct
40 Correct 155 ms 26436 KB Output is correct
41 Correct 2 ms 5212 KB Output is correct
42 Correct 2 ms 4956 KB Output is correct
43 Incorrect 158 ms 26212 KB Output isn't correct
44 Halted 0 ms 0 KB -