Submission #544618

# Submission time Handle Problem Language Result Execution time Memory
544618 2022-04-02T13:44:23 Z ivan_tudor Meetings 2 (JOI21_meetings2) C++14
100 / 100
532 ms 72404 KB
#include<bits/stdc++.h>
using namespace std;
const int N = 200005;
vector<int> gr[N];
set<int> auxgr[N];
struct helpertime{
	int nod, dad;
	int sz;
};
int sz[N];
priority_queue <pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> leafs;
vector<helpertime> ht;
int ans[N];


int par[20][N];
int in[N], out[N];
int h[N];
void dfs_prec(int nod, int dad, int &cnt){
	h[nod] = h[dad] + 1;
	in[nod] = ++cnt;
	par[0][nod] = dad;
	for(int i = 1; i < 20; i ++)
		par[i][nod] = par[i - 1][par[i - 1][nod]];
	for(auto x:gr[nod]){
		if(x == dad)
			continue;
		dfs_prec(x, nod, cnt);
	}
	out[nod] = cnt;
}
bool is_dad(int dad, int son){
	if(in[dad] <= in[son] && out[son] <= out[dad])
		return true;
	return false;
}
int get_dist(int a, int b){
	if(h[a] > h[b])
		swap(a, b);
	if(is_dad(a, b))
		return h[b] - h[a] + 1;
	int lca = a;
	for(int p2 = 19; p2>=0; p2--){
		int up = par[p2][lca];
		if(up != 0 && is_dad(up, b) == false)
			lca = up;
	}
	lca = par[0][lca];
	return h[a] - h[lca] + 1 + h[b] - h[lca];
}

int main()
{
  //freopen(".in","r",stdin);
  ios::sync_with_stdio(false);
  cin.tie(0),cout.tie(0);
  int n;
  cin>>n;
  for(int i = 1; i<n; i++){
		int x, y;
		cin>>x>>y;
		gr[x].push_back(y);
		gr[y].push_back(x);

		auxgr[x].insert(y);
		auxgr[y].insert(x);
  }
	for(int i = 1; i<=n; i++){
		sz[i] = 1;
	}
	for(int i = 1; i<=n; i++){
		if(auxgr[i].size() == 1){
			leafs.push({sz[i], i});
		}
	}

	for(int t = 2; t <= n/2 + 1; t++){
		while(leafs.size() && leafs.top().first < t){
			int nod = leafs.top().second;
			leafs.pop();
			if(auxgr[nod].size()){
				assert(auxgr[nod].size() == 1);
				int vec = *auxgr[nod].begin();
				auxgr[nod].erase(vec);
				auxgr[vec].erase(nod);
				sz[vec] += sz[nod];
				ht.push_back({nod, vec, sz[nod]});
				if(auxgr[vec].size() == 1){
					leafs.push({sz[vec], vec});
				}
			}
		}
	}
	int cnt = 0;
	dfs_prec(1, 0, cnt);

	int root = 0;
	for(int i = 1; i<=n; i++)
		if(sz[i] == n)
			root = i;
	int diama = root, diamb = root;
	int dst = 1;
	for(int t = n/2; t>=1; t--){
		while(ht.size() && ht.back().sz >= t){
			int newnod = ht.back().nod;
			int dstna = get_dist(diama, newnod);
			int dstnb = get_dist(diamb, newnod);
			if(dstna > dst && dstna >= dstnb){
				dst = dstna;
				diamb = newnod;
			}
			else if(dstnb > dst && dstnb >= dstna){
				dst = dstnb;
				diama = newnod;
			}
			ht.pop_back();
		}
		ans[2*t] = dst;
		ans[2*t + 1] = 1;
	}
	ans[1] = 1;
	for(int i = 1; i<=n; i++){
		cout<<ans[i]<<"\n";
	}
  return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14548 KB Output is correct
2 Correct 7 ms 14548 KB Output is correct
3 Correct 7 ms 14548 KB Output is correct
4 Correct 9 ms 14548 KB Output is correct
5 Correct 8 ms 14548 KB Output is correct
6 Correct 8 ms 14548 KB Output is correct
7 Correct 9 ms 14544 KB Output is correct
8 Correct 8 ms 14548 KB Output is correct
9 Correct 7 ms 14548 KB Output is correct
10 Correct 8 ms 14548 KB Output is correct
11 Correct 7 ms 14556 KB Output is correct
12 Correct 7 ms 14552 KB Output is correct
13 Correct 7 ms 14548 KB Output is correct
14 Correct 7 ms 14548 KB Output is correct
15 Correct 7 ms 14508 KB Output is correct
16 Correct 7 ms 14536 KB Output is correct
17 Correct 7 ms 14552 KB Output is correct
18 Correct 7 ms 14548 KB Output is correct
19 Correct 7 ms 14552 KB Output is correct
20 Correct 7 ms 14556 KB Output is correct
21 Correct 8 ms 14556 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14548 KB Output is correct
2 Correct 7 ms 14548 KB Output is correct
3 Correct 7 ms 14548 KB Output is correct
4 Correct 9 ms 14548 KB Output is correct
5 Correct 8 ms 14548 KB Output is correct
6 Correct 8 ms 14548 KB Output is correct
7 Correct 9 ms 14544 KB Output is correct
8 Correct 8 ms 14548 KB Output is correct
9 Correct 7 ms 14548 KB Output is correct
10 Correct 8 ms 14548 KB Output is correct
11 Correct 7 ms 14556 KB Output is correct
12 Correct 7 ms 14552 KB Output is correct
13 Correct 7 ms 14548 KB Output is correct
14 Correct 7 ms 14548 KB Output is correct
15 Correct 7 ms 14508 KB Output is correct
16 Correct 7 ms 14536 KB Output is correct
17 Correct 7 ms 14552 KB Output is correct
18 Correct 7 ms 14548 KB Output is correct
19 Correct 7 ms 14552 KB Output is correct
20 Correct 7 ms 14556 KB Output is correct
21 Correct 8 ms 14556 KB Output is correct
22 Correct 13 ms 15588 KB Output is correct
23 Correct 11 ms 15592 KB Output is correct
24 Correct 12 ms 15576 KB Output is correct
25 Correct 11 ms 15604 KB Output is correct
26 Correct 13 ms 15572 KB Output is correct
27 Correct 11 ms 15552 KB Output is correct
28 Correct 12 ms 15572 KB Output is correct
29 Correct 14 ms 15604 KB Output is correct
30 Correct 11 ms 15572 KB Output is correct
31 Correct 11 ms 15588 KB Output is correct
32 Correct 11 ms 15596 KB Output is correct
33 Correct 11 ms 15720 KB Output is correct
34 Correct 11 ms 15520 KB Output is correct
35 Correct 12 ms 15588 KB Output is correct
36 Correct 11 ms 15572 KB Output is correct
37 Correct 12 ms 15572 KB Output is correct
38 Correct 11 ms 15600 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 14548 KB Output is correct
2 Correct 7 ms 14548 KB Output is correct
3 Correct 7 ms 14548 KB Output is correct
4 Correct 9 ms 14548 KB Output is correct
5 Correct 8 ms 14548 KB Output is correct
6 Correct 8 ms 14548 KB Output is correct
7 Correct 9 ms 14544 KB Output is correct
8 Correct 8 ms 14548 KB Output is correct
9 Correct 7 ms 14548 KB Output is correct
10 Correct 8 ms 14548 KB Output is correct
11 Correct 7 ms 14556 KB Output is correct
12 Correct 7 ms 14552 KB Output is correct
13 Correct 7 ms 14548 KB Output is correct
14 Correct 7 ms 14548 KB Output is correct
15 Correct 7 ms 14508 KB Output is correct
16 Correct 7 ms 14536 KB Output is correct
17 Correct 7 ms 14552 KB Output is correct
18 Correct 7 ms 14548 KB Output is correct
19 Correct 7 ms 14552 KB Output is correct
20 Correct 7 ms 14556 KB Output is correct
21 Correct 8 ms 14556 KB Output is correct
22 Correct 13 ms 15588 KB Output is correct
23 Correct 11 ms 15592 KB Output is correct
24 Correct 12 ms 15576 KB Output is correct
25 Correct 11 ms 15604 KB Output is correct
26 Correct 13 ms 15572 KB Output is correct
27 Correct 11 ms 15552 KB Output is correct
28 Correct 12 ms 15572 KB Output is correct
29 Correct 14 ms 15604 KB Output is correct
30 Correct 11 ms 15572 KB Output is correct
31 Correct 11 ms 15588 KB Output is correct
32 Correct 11 ms 15596 KB Output is correct
33 Correct 11 ms 15720 KB Output is correct
34 Correct 11 ms 15520 KB Output is correct
35 Correct 12 ms 15588 KB Output is correct
36 Correct 11 ms 15572 KB Output is correct
37 Correct 12 ms 15572 KB Output is correct
38 Correct 11 ms 15600 KB Output is correct
39 Correct 465 ms 65136 KB Output is correct
40 Correct 447 ms 64296 KB Output is correct
41 Correct 450 ms 65300 KB Output is correct
42 Correct 504 ms 65980 KB Output is correct
43 Correct 474 ms 66084 KB Output is correct
44 Correct 469 ms 66064 KB Output is correct
45 Correct 532 ms 69816 KB Output is correct
46 Correct 340 ms 71924 KB Output is correct
47 Correct 437 ms 67584 KB Output is correct
48 Correct 406 ms 68100 KB Output is correct
49 Correct 450 ms 66784 KB Output is correct
50 Correct 390 ms 68168 KB Output is correct
51 Correct 358 ms 72404 KB Output is correct