oj.uz

Submission #394214

# Submission time Handle Problem Language Result Execution time Memory
394214 2021-04-26T06:41:33 Z oolimry Meetings 2 (JOI21_meetings2) C++17
100 / 100
 840 ms 31060 KB 
#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int) x.size())
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x, y) cerr << #x << " is " << x << ", " << #y << " is " << y << endl;
typedef long long lint;
typedef pair<lint, lint> ii;

int n; 
int ans[200005];
vector<int> adj[200005];
bool cented[200005];
int sz[200005];
int dis[200005];
vector<int> nodes;

void dfs(int u, int p){
	nodes.push_back(u);
	sz[u] = 1;
	for(int v : adj[u]){
		if(cented[v] or v == p) continue;
		dis[v] = dis[u]+1;
		dfs(v, u);
		sz[u] += sz[v];
	}
}
void init(int u, int p = -1){
	dis[u] = 0;
	nodes.clear();
	dfs(u,p);
}


struct thing{ int sub, dis, sz; };

void recurse(int R){
	init(R, -1);
	
	int cent = -1;
	for(int u : nodes){
		int maxsz = sz[R] - sz[u];
		for(int v : adj[u]){
			if(cented[v] or sz[v] > sz[u]) continue;
			maxsz = max(maxsz, sz[v]);
		}
		if(maxsz <= sz(nodes)/2){
			cent = u;
			break;
		}
	}
	
	vector<thing> stuff;
	
	for(int v : adj[cent]){
		if(cented[v]) continue;
		init(v, cent);
		for(int x : nodes){
			stuff.push_back({v, dis[x], sz[x]});
		}
	}
	
	sort(all(stuff), [&](thing &a, thing &b){ return a.sz > b.sz; });
	
	ii b1 = {-1, -1}, b2 = {-2, -2};
	for(thing &s : stuff){
		///if root is the endpoint
		int SZ = 2*min(s.sz, n-s.sz);
		ans[SZ] = max(ans[SZ], s.dis+2);
		//show2(s.sub, s.dis);
		
		///if root is not endpoint		
		ii cur = ii(s.dis, s.sub);
		if(b1.second == cur.second) b1 = max(b1, cur);
		else b2 = max(b2, cur);
		if(b1 < b2) swap(b1, b2);
		
		assert(b1.second != b2.second);
		
		ans[2*s.sz] = max((lint) ans[2*s.sz], b1.first + b2.first + 3);
	}
	
	cented[cent] = true;
	for(int v : adj[cent]){
		if(cented[v]) continue;
		recurse(v);
	}
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	
	cin >> n;
	for(int i = 1;i < n;i++){
		int a, b; cin >> a >> b;
		adj[a].push_back(b);
		adj[b].push_back(a);
	}
	
	fill(ans, ans+n+1, 1);
	
	recurse(1);
	
	int nn = n;
	if(nn&1) nn--;
	for(int i = nn;i >= 2;i -= 2) ans[i] = max(ans[i], ans[i+2]);
	for(int i = 1;i <= n;i++) cout << ans[i] << "\n";
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4940 KB Output is correct
3 Correct 3 ms 4944 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4944 KB Output is correct
6 Correct 3 ms 5028 KB Output is correct
7 Correct 3 ms 5028 KB Output is correct
8 Correct 4 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 4 ms 4940 KB Output is correct
17 Correct 4 ms 4960 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 5032 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4940 KB Output is correct
3 Correct 3 ms 4944 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4944 KB Output is correct
6 Correct 3 ms 5028 KB Output is correct
7 Correct 3 ms 5028 KB Output is correct
8 Correct 4 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 4 ms 4940 KB Output is correct
17 Correct 4 ms 4960 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 5032 KB Output is correct
22 Correct 8 ms 5324 KB Output is correct
23 Correct 8 ms 5376 KB Output is correct
24 Correct 8 ms 5324 KB Output is correct
25 Correct 8 ms 5296 KB Output is correct
26 Correct 8 ms 5388 KB Output is correct
27 Correct 8 ms 5324 KB Output is correct
28 Correct 7 ms 5384 KB Output is correct
29 Correct 7 ms 5324 KB Output is correct
30 Correct 8 ms 5324 KB Output is correct
31 Correct 8 ms 5376 KB Output is correct
32 Correct 9 ms 5492 KB Output is correct
33 Correct 10 ms 5580 KB Output is correct
34 Correct 6 ms 5300 KB Output is correct
35 Correct 5 ms 5300 KB Output is correct
36 Correct 8 ms 5324 KB Output is correct
37 Correct 6 ms 5324 KB Output is correct
38 Correct 7 ms 5452 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4940 KB Output is correct
2 Correct 3 ms 4940 KB Output is correct
3 Correct 3 ms 4944 KB Output is correct
4 Correct 3 ms 4940 KB Output is correct
5 Correct 3 ms 4944 KB Output is correct
6 Correct 3 ms 5028 KB Output is correct
7 Correct 3 ms 5028 KB Output is correct
8 Correct 4 ms 4940 KB Output is correct
9 Correct 3 ms 4940 KB Output is correct
10 Correct 3 ms 4940 KB Output is correct
11 Correct 3 ms 5032 KB Output is correct
12 Correct 3 ms 4940 KB Output is correct
13 Correct 3 ms 4940 KB Output is correct
14 Correct 3 ms 4940 KB Output is correct
15 Correct 3 ms 4940 KB Output is correct
16 Correct 4 ms 4940 KB Output is correct
17 Correct 4 ms 4960 KB Output is correct
18 Correct 3 ms 4940 KB Output is correct
19 Correct 3 ms 4940 KB Output is correct
20 Correct 3 ms 4940 KB Output is correct
21 Correct 3 ms 5032 KB Output is correct
22 Correct 8 ms 5324 KB Output is correct
23 Correct 8 ms 5376 KB Output is correct
24 Correct 8 ms 5324 KB Output is correct
25 Correct 8 ms 5296 KB Output is correct
26 Correct 8 ms 5388 KB Output is correct
27 Correct 8 ms 5324 KB Output is correct
28 Correct 7 ms 5384 KB Output is correct
29 Correct 7 ms 5324 KB Output is correct
30 Correct 8 ms 5324 KB Output is correct
31 Correct 8 ms 5376 KB Output is correct
32 Correct 9 ms 5492 KB Output is correct
33 Correct 10 ms 5580 KB Output is correct
34 Correct 6 ms 5300 KB Output is correct
35 Correct 5 ms 5300 KB Output is correct
36 Correct 8 ms 5324 KB Output is correct
37 Correct 6 ms 5324 KB Output is correct
38 Correct 7 ms 5452 KB Output is correct
39 Correct 526 ms 21988 KB Output is correct
40 Correct 462 ms 21656 KB Output is correct
41 Correct 503 ms 22100 KB Output is correct
42 Correct 495 ms 22244 KB Output is correct
43 Correct 488 ms 22276 KB Output is correct
44 Correct 506 ms 22156 KB Output is correct
45 Correct 840 ms 26956 KB Output is correct
46 Correct 744 ms 31060 KB Output is correct
47 Correct 205 ms 21300 KB Output is correct
48 Correct 187 ms 21400 KB Output is correct
49 Correct 491 ms 23008 KB Output is correct
50 Correct 218 ms 22892 KB Output is correct
51 Correct 429 ms 30028 KB Output is correct