Submission #394634

# Submission time Handle Problem Language Result Execution time Memory
394634 2021-04-27T06:28:05 Z hivakarami Network (BOI15_net) C++14
100 / 100
1376 ms 91800 KB
#include<bits/stdc++.h>
 
using namespace std;
 
typedef long long int ll;
typedef long double ld;
#define f first
#define s second
#define pb push_back
 
const int N = 5e5 + 100;
const ld inf = 1e8;
const ll mod = 1e9 + 7;

int r, par[N], sz[N], d[N];
vector<int> adj[N], l[N];
vector<pair<int, int>> ans;
set<pair<int, int>> st;

void dfs(int u)
{
	sz[u] = 0;
	for(auto x : adj[u])
	{
		if(x == par[u])
			continue;
		par[x] = u;
		dfs(x);
		sz[u] += sz[x];
	}
	
	if(int(adj[u].size()) == 1)
		sz[u] = 1;
}


int find(int u)
{
	//cout << u + 1 << endl;
	for(auto x : adj[u])
	{
		if(x != par[u] && sz[x] > sz[r]/2)
			return find(x);
	}
	return u;

}


void DFS(int u)
{
	for(auto x : adj[u])
	{
		if(x != par[u])
		{
			par[x] = u;
			DFS(x);
		}
	}
	
	if(adj[u].size() == 1)
		l[r].pb(u);
}



int main()
{
    
    ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);	
	
	int n;
	cin >> n;
	for(int i = 0; i < n - 1; i++)
	{
		int x, y;
		cin >> x >> y;
		x--; y--;
		adj[x].pb(y);
		adj[y].pb(x);
	}
	
	for(int i = 0; i < n; i++)
	{
		if(int(adj[i].size()) > 1)
		{
			r = i;
			break;
		}
	}
	par[r] = r;
	dfs(r);
	
	//cout << "///////////////////////" << endl;
	
	//for(int i = 0; i < n; i++)
		//cout << i + 1 << ' ' << sz[i] << ' ' << par[i] + 1 << ' ' << adj[i].size() << endl;
	
	
	int u = find(r);
	
	//cout << u << endl;
	
	par[u] = u;
	for(auto x : adj[u])
	{
		par[x] = u;
		r = x;
		DFS(x);
		d[x] = l[x].size();
		st.insert({-d[x], x});
	}
	
	
	while(st.size() >= 2)
	{
		int x = st.begin()->s;
		st.erase(st.begin());
		int y = st.begin()->s;
		st.erase(st.begin());
		
		d[x]--; d[y]--;
		ans.pb({l[x][d[x]], l[y][d[y]]});
		
		if(d[x])
			st.insert({-d[x], x});
		
		if(d[y])
			st.insert({-d[y], y});
	}
		
	if(st.size())
	{
		int x = st.begin() -> s;
		d[x]--;
		ans.pb({u, l[x][d[x]]});		
	}	

	cout << ans.size() << endl;
	for(auto it : ans)
		cout << it.f + 1 << ' ' << it.s + 1 << endl; 

	return 0;
}


 

 
# Verdict Execution time Memory Grader output
1 Correct 17 ms 23768 KB Output is correct
2 Correct 18 ms 23756 KB Output is correct
3 Correct 15 ms 23756 KB Output is correct
4 Correct 15 ms 23756 KB Output is correct
5 Correct 15 ms 23756 KB Output is correct
6 Correct 15 ms 23716 KB Output is correct
7 Correct 15 ms 23756 KB Output is correct
8 Correct 15 ms 23756 KB Output is correct
9 Correct 15 ms 23792 KB Output is correct
10 Correct 15 ms 23824 KB Output is correct
11 Correct 15 ms 23820 KB Output is correct
12 Correct 17 ms 23756 KB Output is correct
13 Correct 17 ms 23756 KB Output is correct
14 Correct 15 ms 23756 KB Output is correct
15 Correct 15 ms 23756 KB Output is correct
16 Correct 15 ms 23748 KB Output is correct
17 Correct 15 ms 23756 KB Output is correct
18 Correct 15 ms 23724 KB Output is correct
19 Correct 15 ms 23756 KB Output is correct
20 Correct 15 ms 23884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 23768 KB Output is correct
2 Correct 18 ms 23756 KB Output is correct
3 Correct 15 ms 23756 KB Output is correct
4 Correct 15 ms 23756 KB Output is correct
5 Correct 15 ms 23756 KB Output is correct
6 Correct 15 ms 23716 KB Output is correct
7 Correct 15 ms 23756 KB Output is correct
8 Correct 15 ms 23756 KB Output is correct
9 Correct 15 ms 23792 KB Output is correct
10 Correct 15 ms 23824 KB Output is correct
11 Correct 15 ms 23820 KB Output is correct
12 Correct 17 ms 23756 KB Output is correct
13 Correct 17 ms 23756 KB Output is correct
14 Correct 15 ms 23756 KB Output is correct
15 Correct 15 ms 23756 KB Output is correct
16 Correct 15 ms 23748 KB Output is correct
17 Correct 15 ms 23756 KB Output is correct
18 Correct 15 ms 23724 KB Output is correct
19 Correct 15 ms 23756 KB Output is correct
20 Correct 15 ms 23884 KB Output is correct
21 Correct 14 ms 23760 KB Output is correct
22 Correct 19 ms 23984 KB Output is correct
23 Correct 19 ms 23972 KB Output is correct
24 Correct 18 ms 23968 KB Output is correct
25 Correct 18 ms 23980 KB Output is correct
26 Correct 17 ms 23848 KB Output is correct
27 Correct 17 ms 23884 KB Output is correct
28 Correct 17 ms 23884 KB Output is correct
29 Correct 17 ms 23848 KB Output is correct
30 Correct 15 ms 23728 KB Output is correct
31 Correct 17 ms 23884 KB Output is correct
32 Correct 15 ms 23812 KB Output is correct
33 Correct 16 ms 23756 KB Output is correct
34 Correct 15 ms 23756 KB Output is correct
35 Correct 16 ms 23736 KB Output is correct
36 Correct 15 ms 23756 KB Output is correct
37 Correct 16 ms 23784 KB Output is correct
38 Correct 16 ms 23888 KB Output is correct
39 Correct 15 ms 23716 KB Output is correct
40 Correct 15 ms 23756 KB Output is correct
41 Correct 16 ms 23732 KB Output is correct
42 Correct 16 ms 23816 KB Output is correct
43 Correct 17 ms 23884 KB Output is correct
44 Correct 15 ms 23752 KB Output is correct
45 Correct 16 ms 23756 KB Output is correct
46 Correct 19 ms 23856 KB Output is correct
47 Correct 15 ms 23756 KB Output is correct
48 Correct 19 ms 23756 KB Output is correct
49 Correct 16 ms 23884 KB Output is correct
50 Correct 15 ms 23828 KB Output is correct
51 Correct 15 ms 23756 KB Output is correct
52 Correct 15 ms 23756 KB Output is correct
53 Correct 16 ms 23884 KB Output is correct
54 Correct 16 ms 23756 KB Output is correct
55 Correct 16 ms 23756 KB Output is correct
56 Correct 15 ms 23756 KB Output is correct
57 Correct 16 ms 23844 KB Output is correct
58 Correct 20 ms 23884 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 23768 KB Output is correct
2 Correct 18 ms 23756 KB Output is correct
3 Correct 15 ms 23756 KB Output is correct
4 Correct 15 ms 23756 KB Output is correct
5 Correct 15 ms 23756 KB Output is correct
6 Correct 15 ms 23716 KB Output is correct
7 Correct 15 ms 23756 KB Output is correct
8 Correct 15 ms 23756 KB Output is correct
9 Correct 15 ms 23792 KB Output is correct
10 Correct 15 ms 23824 KB Output is correct
11 Correct 15 ms 23820 KB Output is correct
12 Correct 17 ms 23756 KB Output is correct
13 Correct 17 ms 23756 KB Output is correct
14 Correct 15 ms 23756 KB Output is correct
15 Correct 15 ms 23756 KB Output is correct
16 Correct 15 ms 23748 KB Output is correct
17 Correct 15 ms 23756 KB Output is correct
18 Correct 15 ms 23724 KB Output is correct
19 Correct 15 ms 23756 KB Output is correct
20 Correct 15 ms 23884 KB Output is correct
21 Correct 14 ms 23760 KB Output is correct
22 Correct 19 ms 23984 KB Output is correct
23 Correct 19 ms 23972 KB Output is correct
24 Correct 18 ms 23968 KB Output is correct
25 Correct 18 ms 23980 KB Output is correct
26 Correct 17 ms 23848 KB Output is correct
27 Correct 17 ms 23884 KB Output is correct
28 Correct 17 ms 23884 KB Output is correct
29 Correct 17 ms 23848 KB Output is correct
30 Correct 15 ms 23728 KB Output is correct
31 Correct 17 ms 23884 KB Output is correct
32 Correct 15 ms 23812 KB Output is correct
33 Correct 16 ms 23756 KB Output is correct
34 Correct 15 ms 23756 KB Output is correct
35 Correct 16 ms 23736 KB Output is correct
36 Correct 15 ms 23756 KB Output is correct
37 Correct 16 ms 23784 KB Output is correct
38 Correct 16 ms 23888 KB Output is correct
39 Correct 15 ms 23716 KB Output is correct
40 Correct 15 ms 23756 KB Output is correct
41 Correct 16 ms 23732 KB Output is correct
42 Correct 16 ms 23816 KB Output is correct
43 Correct 17 ms 23884 KB Output is correct
44 Correct 15 ms 23752 KB Output is correct
45 Correct 16 ms 23756 KB Output is correct
46 Correct 19 ms 23856 KB Output is correct
47 Correct 15 ms 23756 KB Output is correct
48 Correct 19 ms 23756 KB Output is correct
49 Correct 16 ms 23884 KB Output is correct
50 Correct 15 ms 23828 KB Output is correct
51 Correct 15 ms 23756 KB Output is correct
52 Correct 15 ms 23756 KB Output is correct
53 Correct 16 ms 23884 KB Output is correct
54 Correct 16 ms 23756 KB Output is correct
55 Correct 16 ms 23756 KB Output is correct
56 Correct 15 ms 23756 KB Output is correct
57 Correct 16 ms 23844 KB Output is correct
58 Correct 20 ms 23884 KB Output is correct
59 Correct 890 ms 58848 KB Output is correct
60 Correct 812 ms 49824 KB Output is correct
61 Correct 15 ms 23756 KB Output is correct
62 Correct 14 ms 23756 KB Output is correct
63 Correct 768 ms 52588 KB Output is correct
64 Correct 20 ms 24396 KB Output is correct
65 Correct 33 ms 26188 KB Output is correct
66 Correct 214 ms 44240 KB Output is correct
67 Correct 625 ms 64324 KB Output is correct
68 Correct 667 ms 65552 KB Output is correct
69 Correct 40 ms 25832 KB Output is correct
70 Correct 333 ms 43860 KB Output is correct
71 Correct 1376 ms 91800 KB Output is correct
72 Correct 1274 ms 87072 KB Output is correct
73 Correct 169 ms 30592 KB Output is correct
74 Correct 755 ms 47812 KB Output is correct
75 Correct 101 ms 29092 KB Output is correct
76 Correct 993 ms 72200 KB Output is correct
77 Correct 1052 ms 73508 KB Output is correct
78 Correct 63 ms 27812 KB Output is correct
79 Correct 685 ms 61376 KB Output is correct
80 Correct 20 ms 24140 KB Output is correct
81 Correct 302 ms 39828 KB Output is correct
82 Correct 1137 ms 70768 KB Output is correct
83 Correct 734 ms 47740 KB Output is correct
84 Correct 768 ms 48320 KB Output is correct
85 Correct 769 ms 48060 KB Output is correct
86 Correct 777 ms 50136 KB Output is correct
87 Correct 781 ms 50220 KB Output is correct