Submission #906224

# Submission time Handle Problem Language Result Execution time Memory
906224 2024-01-13T19:21:45 Z dsyz Network (BOI15_net) C++17
100 / 100
496 ms 54456 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (500005)
ll N, cnt = 0;
ll pre[MAXN];
vector<ll> v[MAXN];
bool leaf[MAXN];
void dfs(ll x,ll p){
	pre[x] = cnt++;
	ll children = 0;
	for(auto u : v[x]){
		if(u != p){
			dfs(u,x);
			children++;
		}
	}
	if(children == 0){
		leaf[x] = 1;
	}
}
int main() {
	ios_base::sync_with_stdio(false);cin.tie(0);
	cin>>N;
	for(ll i = 0;i < N - 1;i++){
		ll a,b;
		cin>>a>>b;
		a--, b--;
		v[a].push_back(b);
		v[b].push_back(a);
	}
	dfs(0,-1);
	deque<pair<ll,ll> > ans;
	for(ll i = 0;i < N;i++){
		if(i == 0 && v[0].size() == 1){ //technically the root node can also be a "leaf" if rooted differently
			ans.push_back({pre[i],i});
		}else if(leaf[i]){
			ans.push_back({pre[i],i});
		}
	}
	sort(ans.begin(),ans.end());
	cout<<(ans.size() + 1) / 2<<'\n';
	for(ll i = 0;i < ll((ans.size() + 1) / 2);i++){ //greedily optimal to pair front and middle (intution: at least one of the pair will have lca = root node)
		cout<<ans[i].second + 1<<" "<<ans[i + (ans.size() / 2)].second + 1<<'\n';
	}
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 4 ms 12648 KB Output is correct
3 Correct 3 ms 12708 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 4 ms 12636 KB Output is correct
6 Correct 4 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 3 ms 12776 KB Output is correct
11 Correct 5 ms 12636 KB Output is correct
12 Correct 3 ms 12636 KB Output is correct
13 Correct 3 ms 12776 KB Output is correct
14 Correct 4 ms 12636 KB Output is correct
15 Correct 3 ms 12636 KB Output is correct
16 Correct 3 ms 12636 KB Output is correct
17 Correct 3 ms 12636 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 3 ms 12636 KB Output is correct
20 Correct 3 ms 12776 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 4 ms 12648 KB Output is correct
3 Correct 3 ms 12708 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 4 ms 12636 KB Output is correct
6 Correct 4 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 3 ms 12776 KB Output is correct
11 Correct 5 ms 12636 KB Output is correct
12 Correct 3 ms 12636 KB Output is correct
13 Correct 3 ms 12776 KB Output is correct
14 Correct 4 ms 12636 KB Output is correct
15 Correct 3 ms 12636 KB Output is correct
16 Correct 3 ms 12636 KB Output is correct
17 Correct 3 ms 12636 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 3 ms 12636 KB Output is correct
20 Correct 3 ms 12776 KB Output is correct
21 Correct 5 ms 12636 KB Output is correct
22 Correct 5 ms 13144 KB Output is correct
23 Correct 4 ms 12892 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 13144 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 4 ms 12848 KB Output is correct
28 Correct 4 ms 12904 KB Output is correct
29 Correct 4 ms 12636 KB Output is correct
30 Correct 3 ms 12636 KB Output is correct
31 Correct 4 ms 12892 KB Output is correct
32 Correct 3 ms 12636 KB Output is correct
33 Correct 4 ms 12636 KB Output is correct
34 Correct 3 ms 12636 KB Output is correct
35 Correct 3 ms 12636 KB Output is correct
36 Correct 4 ms 12636 KB Output is correct
37 Correct 3 ms 12636 KB Output is correct
38 Correct 3 ms 12636 KB Output is correct
39 Correct 3 ms 12636 KB Output is correct
40 Correct 3 ms 12636 KB Output is correct
41 Correct 3 ms 12636 KB Output is correct
42 Correct 4 ms 12636 KB Output is correct
43 Correct 4 ms 12636 KB Output is correct
44 Correct 3 ms 12636 KB Output is correct
45 Correct 4 ms 12636 KB Output is correct
46 Correct 6 ms 13144 KB Output is correct
47 Correct 4 ms 12636 KB Output is correct
48 Correct 3 ms 12636 KB Output is correct
49 Correct 4 ms 12636 KB Output is correct
50 Correct 3 ms 12636 KB Output is correct
51 Correct 3 ms 12780 KB Output is correct
52 Correct 3 ms 12636 KB Output is correct
53 Correct 4 ms 12888 KB Output is correct
54 Correct 3 ms 12636 KB Output is correct
55 Correct 3 ms 12636 KB Output is correct
56 Correct 3 ms 12636 KB Output is correct
57 Correct 3 ms 12636 KB Output is correct
58 Correct 4 ms 12892 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 4 ms 12648 KB Output is correct
3 Correct 3 ms 12708 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 4 ms 12636 KB Output is correct
6 Correct 4 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 3 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 3 ms 12776 KB Output is correct
11 Correct 5 ms 12636 KB Output is correct
12 Correct 3 ms 12636 KB Output is correct
13 Correct 3 ms 12776 KB Output is correct
14 Correct 4 ms 12636 KB Output is correct
15 Correct 3 ms 12636 KB Output is correct
16 Correct 3 ms 12636 KB Output is correct
17 Correct 3 ms 12636 KB Output is correct
18 Correct 3 ms 12636 KB Output is correct
19 Correct 3 ms 12636 KB Output is correct
20 Correct 3 ms 12776 KB Output is correct
21 Correct 5 ms 12636 KB Output is correct
22 Correct 5 ms 13144 KB Output is correct
23 Correct 4 ms 12892 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 13144 KB Output is correct
26 Correct 4 ms 12636 KB Output is correct
27 Correct 4 ms 12848 KB Output is correct
28 Correct 4 ms 12904 KB Output is correct
29 Correct 4 ms 12636 KB Output is correct
30 Correct 3 ms 12636 KB Output is correct
31 Correct 4 ms 12892 KB Output is correct
32 Correct 3 ms 12636 KB Output is correct
33 Correct 4 ms 12636 KB Output is correct
34 Correct 3 ms 12636 KB Output is correct
35 Correct 3 ms 12636 KB Output is correct
36 Correct 4 ms 12636 KB Output is correct
37 Correct 3 ms 12636 KB Output is correct
38 Correct 3 ms 12636 KB Output is correct
39 Correct 3 ms 12636 KB Output is correct
40 Correct 3 ms 12636 KB Output is correct
41 Correct 3 ms 12636 KB Output is correct
42 Correct 4 ms 12636 KB Output is correct
43 Correct 4 ms 12636 KB Output is correct
44 Correct 3 ms 12636 KB Output is correct
45 Correct 4 ms 12636 KB Output is correct
46 Correct 6 ms 13144 KB Output is correct
47 Correct 4 ms 12636 KB Output is correct
48 Correct 3 ms 12636 KB Output is correct
49 Correct 4 ms 12636 KB Output is correct
50 Correct 3 ms 12636 KB Output is correct
51 Correct 3 ms 12780 KB Output is correct
52 Correct 3 ms 12636 KB Output is correct
53 Correct 4 ms 12888 KB Output is correct
54 Correct 3 ms 12636 KB Output is correct
55 Correct 3 ms 12636 KB Output is correct
56 Correct 3 ms 12636 KB Output is correct
57 Correct 3 ms 12636 KB Output is correct
58 Correct 4 ms 12892 KB Output is correct
59 Correct 394 ms 47164 KB Output is correct
60 Correct 401 ms 50516 KB Output is correct
61 Correct 3 ms 12636 KB Output is correct
62 Correct 3 ms 12636 KB Output is correct
63 Correct 254 ms 42952 KB Output is correct
64 Correct 5 ms 13148 KB Output is correct
65 Correct 12 ms 14684 KB Output is correct
66 Correct 73 ms 30808 KB Output is correct
67 Correct 496 ms 51284 KB Output is correct
68 Correct 477 ms 53328 KB Output is correct
69 Correct 8 ms 13660 KB Output is correct
70 Correct 72 ms 26180 KB Output is correct
71 Correct 274 ms 54456 KB Output is correct
72 Correct 289 ms 52408 KB Output is correct
73 Correct 64 ms 23364 KB Output is correct
74 Correct 396 ms 47592 KB Output is correct
75 Correct 25 ms 18772 KB Output is correct
76 Correct 301 ms 53756 KB Output is correct
77 Correct 290 ms 54096 KB Output is correct
78 Correct 23 ms 18268 KB Output is correct
79 Correct 457 ms 49752 KB Output is correct
80 Correct 4 ms 12892 KB Output is correct
81 Correct 87 ms 26224 KB Output is correct
82 Correct 347 ms 50676 KB Output is correct
83 Correct 397 ms 47696 KB Output is correct
84 Correct 420 ms 47640 KB Output is correct
85 Correct 410 ms 47652 KB Output is correct
86 Correct 382 ms 50516 KB Output is correct
87 Correct 368 ms 50516 KB Output is correct