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Submission #1010206

# Submission time Handle Problem Language Result Execution time Memory
1010206 2024-06-28T13:11:48 Z PoPularPlusPlus Meetings 2 (JOI21_meetings2) C++17
100 / 100
 435 ms 39248 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pb(x) push_back(x)
#define mp(x,y) make_pair(x,y)
#define all(x) x.begin(),x.end()
#define vf first 
#define vs second
const int mod = 1000000007;
 
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());

const int N = 200004;
vector<int> adj[N];
int siz[N];
bool vis[N];
int ans[N];
int mx[N];

void cal_siz(int node , int par){
	siz[node] = 1;
	for(int i : adj[node]){
		if(i!=par && !vis[i]){
			cal_siz(i , node);
			siz[node] += siz[i];
		}
	}
}

int centroid(int node , int par , int tot){
	for(int i : adj[node]){
		if(!vis[i] && i != par && siz[i] >= tot){
			return centroid(i , node , tot);
		}
	}
	return node;
}

void dfs(int node , int par , int dis){
	mx[siz[node]] = max(mx[siz[node]] , dis);
	for(int i : adj[node]){
		if(i!=par && !vis[i])dfs(i , node , dis + 1);
	}
}

void centroid_decomposition(int node){
	cal_siz(node , node);
	int tot = siz[node];
	int root = centroid(node , node , (tot)/2);
	cal_siz(root,root);
	vector<pair<int,int>> v[tot + 2];
	int mx_siz = 0;
	for(int i : adj[root]){
		if(!vis[i]){
			mx_siz = max(mx_siz , siz[i]);
			for(int j = 0; j <= siz[i]; j++){
				mx[j] = -1;
			}
			dfs(i , root , 1);
			for(int j = 1; j <= siz[i]; j++){
				//cout << mx[j] << ' ';
				v[j].pb(mp(mx[j],i));
				sort(all(v[j]),greater<>());
				while(v[j].size() > 2)v[j].pop_back();
			}
			//cout << '\n';
		}
	}

	v[tot-mx_siz].pb(mp(0,-1));
	sort(all(v[tot-mx_siz]) , greater<>());
	while(v[tot-mx_siz].size() > 2)v[tot-mx_siz].pop_back();

	/*for(int i = tot; i >= 0; i--){
		cout << i << '\n';
		for(auto j : v[tot]){
			cout << j.vf << ' ' << j.vs << '\n';
		}
	}*/

	for(int i = tot; i > 0; i--){
		for(auto j : v[i + 1]){
			v[i].pb(j);
		}
		assert(v[i].size() <= 4);
		sort(all(v[i]),greater<>());
		if(v[i].size() >= 2){
			if(v[i][0].vs == v[i][1].vs){
				v[i].erase(v[i].begin() + 1);
			}
		}
		if(v[i].size() >= 2){
			if(v[i][0].vs == v[i][1].vs){
				v[i].erase(v[i].begin()+1);
			}
		}

		if(v[i].size() >= 2){
			if(v[i][0].vs == v[i][1].vs){
				v[i].erase(v[i].begin()+1);
			}
		}

		while(v[i].size() > 2)v[i].pop_back();

		if(v[i].size() >= 2 && v[i][0].vs != v[i][1].vs){
			ans[2*i] = max(ans[2*i] , v[i][0].vf + v[i][1].vf + 1); 
		}
	}
	vis[root] = 1;
	for(int i : adj[root]){
		if(!vis[i]){
			centroid_decomposition(i);
		}
	}
}

void solve(){
	int n;
	cin >> n;
	for(int i = 0; i < n - 1; i++){
		int a , b;
		cin >> a >> b;
		adj[a].pb(b);
		adj[b].pb(a);
	}
	memset(vis,0,sizeof vis);
	memset(ans,-1,sizeof ans);

	centroid_decomposition(1);

	for(int i = n; i > 0; i--){
		if(i % 2 == 1){;}
		else {
			ans[i] = max(ans[i] , ans[i + 2]);
		}
	}
	for(int i = 1; i <= n; i++){
		if(i % 2 == 1)cout << 1 << '\n';
		else cout << max(1,ans[i]) << '\n';
	}
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	
	//int t;
	//cin >> t;
	//while(t--)
		solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7516 KB Output is correct
2 Correct 1 ms 7516 KB Output is correct
3 Correct 1 ms 7516 KB Output is correct
4 Correct 1 ms 7516 KB Output is correct
5 Correct 1 ms 7516 KB Output is correct
6 Correct 2 ms 7516 KB Output is correct
7 Correct 1 ms 7524 KB Output is correct
8 Correct 2 ms 7512 KB Output is correct
9 Correct 1 ms 7512 KB Output is correct
10 Correct 1 ms 7516 KB Output is correct
11 Correct 1 ms 7516 KB Output is correct
12 Correct 1 ms 7528 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 1 ms 7536 KB Output is correct
15 Correct 2 ms 7512 KB Output is correct
16 Correct 1 ms 7512 KB Output is correct
17 Correct 1 ms 7516 KB Output is correct
18 Correct 1 ms 7516 KB Output is correct
19 Correct 1 ms 7516 KB Output is correct
20 Correct 2 ms 7516 KB Output is correct
21 Correct 2 ms 7528 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7516 KB Output is correct
2 Correct 1 ms 7516 KB Output is correct
3 Correct 1 ms 7516 KB Output is correct
4 Correct 1 ms 7516 KB Output is correct
5 Correct 1 ms 7516 KB Output is correct
6 Correct 2 ms 7516 KB Output is correct
7 Correct 1 ms 7524 KB Output is correct
8 Correct 2 ms 7512 KB Output is correct
9 Correct 1 ms 7512 KB Output is correct
10 Correct 1 ms 7516 KB Output is correct
11 Correct 1 ms 7516 KB Output is correct
12 Correct 1 ms 7528 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 1 ms 7536 KB Output is correct
15 Correct 2 ms 7512 KB Output is correct
16 Correct 1 ms 7512 KB Output is correct
17 Correct 1 ms 7516 KB Output is correct
18 Correct 1 ms 7516 KB Output is correct
19 Correct 1 ms 7516 KB Output is correct
20 Correct 2 ms 7516 KB Output is correct
21 Correct 2 ms 7528 KB Output is correct
22 Correct 4 ms 8028 KB Output is correct
23 Correct 5 ms 8028 KB Output is correct
24 Correct 5 ms 8072 KB Output is correct
25 Correct 4 ms 8068 KB Output is correct
26 Correct 4 ms 7984 KB Output is correct
27 Correct 4 ms 7772 KB Output is correct
28 Correct 5 ms 8056 KB Output is correct
29 Correct 5 ms 8028 KB Output is correct
30 Correct 5 ms 8028 KB Output is correct
31 Correct 5 ms 8028 KB Output is correct
32 Correct 5 ms 8052 KB Output is correct
33 Correct 5 ms 8024 KB Output is correct
34 Correct 3 ms 7708 KB Output is correct
35 Correct 3 ms 7772 KB Output is correct
36 Correct 4 ms 7876 KB Output is correct
37 Correct 4 ms 8028 KB Output is correct
38 Correct 4 ms 8028 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7516 KB Output is correct
2 Correct 1 ms 7516 KB Output is correct
3 Correct 1 ms 7516 KB Output is correct
4 Correct 1 ms 7516 KB Output is correct
5 Correct 1 ms 7516 KB Output is correct
6 Correct 2 ms 7516 KB Output is correct
7 Correct 1 ms 7524 KB Output is correct
8 Correct 2 ms 7512 KB Output is correct
9 Correct 1 ms 7512 KB Output is correct
10 Correct 1 ms 7516 KB Output is correct
11 Correct 1 ms 7516 KB Output is correct
12 Correct 1 ms 7528 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 1 ms 7536 KB Output is correct
15 Correct 2 ms 7512 KB Output is correct
16 Correct 1 ms 7512 KB Output is correct
17 Correct 1 ms 7516 KB Output is correct
18 Correct 1 ms 7516 KB Output is correct
19 Correct 1 ms 7516 KB Output is correct
20 Correct 2 ms 7516 KB Output is correct
21 Correct 2 ms 7528 KB Output is correct
22 Correct 4 ms 8028 KB Output is correct
23 Correct 5 ms 8028 KB Output is correct
24 Correct 5 ms 8072 KB Output is correct
25 Correct 4 ms 8068 KB Output is correct
26 Correct 4 ms 7984 KB Output is correct
27 Correct 4 ms 7772 KB Output is correct
28 Correct 5 ms 8056 KB Output is correct
29 Correct 5 ms 8028 KB Output is correct
30 Correct 5 ms 8028 KB Output is correct
31 Correct 5 ms 8028 KB Output is correct
32 Correct 5 ms 8052 KB Output is correct
33 Correct 5 ms 8024 KB Output is correct
34 Correct 3 ms 7708 KB Output is correct
35 Correct 3 ms 7772 KB Output is correct
36 Correct 4 ms 7876 KB Output is correct
37 Correct 4 ms 8028 KB Output is correct
38 Correct 4 ms 8028 KB Output is correct
39 Correct 256 ms 34256 KB Output is correct
40 Correct 257 ms 32912 KB Output is correct
41 Correct 266 ms 33244 KB Output is correct
42 Correct 255 ms 33624 KB Output is correct
43 Correct 251 ms 33616 KB Output is correct
44 Correct 242 ms 32340 KB Output is correct
45 Correct 435 ms 36060 KB Output is correct
46 Correct 369 ms 39248 KB Output is correct
47 Correct 88 ms 28104 KB Output is correct
48 Correct 79 ms 28244 KB Output is correct
49 Correct 264 ms 36300 KB Output is correct
50 Correct 110 ms 34504 KB Output is correct
51 Correct 249 ms 37732 KB Output is correct