#include <bits/stdc++.h>
using namespace std;
const int nx=5e5+5;
int n, u, v, st, sz[nx], c, res, lsz;
vector<int> d[nx], l[nx];
priority_queue<pair<int, int>> pq;
vector<pair<int, int>> ans;
int dfssz(int u, int p)
{
sz[u]=(d[u].size()==1);
for (auto v:d[u]) if (v!=p) sz[u]+=dfssz(v, u);
return sz[u];
}
int findcentroid(int u, int p, int rtsz)
{
for (auto v:d[u]) if (v!=p&&sz[v]*2>rtsz) return findcentroid(v, u, rtsz);
return u;
}
void dfsadd(int u, int p, vector<int> &x)
{
if (d[u].size()==1) x.push_back(u);
for (auto v:d[u]) if (v!=p) dfsadd(v, u, x);
}
int main()
{
cin.tie(NULL)->sync_with_stdio(false);
cin>>n;
for (int i=0; i<n-1; i++) cin>>u>>v, d[u].push_back(v), d[v].push_back(u);
for (int i=1; i<=n; i++) if (d[i].size()>1) st=i;
c=findcentroid(st, st, dfssz(st, st));
for (auto v:d[c]) dfsadd(v, c, l[v]);
for (auto v:d[c]) pq.push({l[v].size(), v}), lsz+=l[v].size();
cout<<(lsz+1)/2<<'\n';
while (!pq.empty())
{
if (pq.size()>1)
{
auto f=pq.top().second;
pq.pop();
auto s=pq.top().second;
pq.pop();
ans.push_back({l[f][l[f].size()-1], l[s][l[s].size()-1]});
l[f].pop_back(); l[s].pop_back();
if (!l[f].empty()) pq.push({l[f].size(), f});
if (!l[s].empty()) pq.push({l[s].size(), s});
}
else
{
auto f=pq.top().second;
ans.push_back({c, l[f][0]});
pq.pop();
}
}
//cout<<ans.size()<<'\n';
for (auto [x, y]:ans) cout<<x<<' '<<y<<'\n';
}
/*
4
1 3
2 3
3 4
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
25180 KB |
Output is correct |
2 |
Correct |
7 ms |
25180 KB |
Output is correct |
3 |
Correct |
6 ms |
25180 KB |
Output is correct |
4 |
Correct |
7 ms |
25180 KB |
Output is correct |
5 |
Correct |
7 ms |
25180 KB |
Output is correct |
6 |
Correct |
7 ms |
25176 KB |
Output is correct |
7 |
Correct |
6 ms |
25180 KB |
Output is correct |
8 |
Correct |
6 ms |
25180 KB |
Output is correct |
9 |
Correct |
7 ms |
25176 KB |
Output is correct |
10 |
Correct |
8 ms |
25180 KB |
Output is correct |
11 |
Correct |
7 ms |
25180 KB |
Output is correct |
12 |
Correct |
6 ms |
25180 KB |
Output is correct |
13 |
Correct |
6 ms |
25180 KB |
Output is correct |
14 |
Correct |
7 ms |
25260 KB |
Output is correct |
15 |
Correct |
7 ms |
25180 KB |
Output is correct |
16 |
Correct |
7 ms |
25180 KB |
Output is correct |
17 |
Correct |
6 ms |
25180 KB |
Output is correct |
18 |
Correct |
7 ms |
25008 KB |
Output is correct |
19 |
Correct |
7 ms |
25180 KB |
Output is correct |
20 |
Correct |
7 ms |
25180 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
25180 KB |
Output is correct |
2 |
Correct |
7 ms |
25180 KB |
Output is correct |
3 |
Correct |
6 ms |
25180 KB |
Output is correct |
4 |
Correct |
7 ms |
25180 KB |
Output is correct |
5 |
Correct |
7 ms |
25180 KB |
Output is correct |
6 |
Correct |
7 ms |
25176 KB |
Output is correct |
7 |
Correct |
6 ms |
25180 KB |
Output is correct |
8 |
Correct |
6 ms |
25180 KB |
Output is correct |
9 |
Correct |
7 ms |
25176 KB |
Output is correct |
10 |
Correct |
8 ms |
25180 KB |
Output is correct |
11 |
Correct |
7 ms |
25180 KB |
Output is correct |
12 |
Correct |
6 ms |
25180 KB |
Output is correct |
13 |
Correct |
6 ms |
25180 KB |
Output is correct |
14 |
Correct |
7 ms |
25260 KB |
Output is correct |
15 |
Correct |
7 ms |
25180 KB |
Output is correct |
16 |
Correct |
7 ms |
25180 KB |
Output is correct |
17 |
Correct |
6 ms |
25180 KB |
Output is correct |
18 |
Correct |
7 ms |
25008 KB |
Output is correct |
19 |
Correct |
7 ms |
25180 KB |
Output is correct |
20 |
Correct |
7 ms |
25180 KB |
Output is correct |
21 |
Correct |
6 ms |
25176 KB |
Output is correct |
22 |
Correct |
7 ms |
25180 KB |
Output is correct |
23 |
Correct |
9 ms |
25436 KB |
Output is correct |
24 |
Correct |
7 ms |
25272 KB |
Output is correct |
25 |
Correct |
9 ms |
25180 KB |
Output is correct |
26 |
Correct |
8 ms |
25180 KB |
Output is correct |
27 |
Correct |
9 ms |
25176 KB |
Output is correct |
28 |
Correct |
7 ms |
25180 KB |
Output is correct |
29 |
Correct |
8 ms |
25180 KB |
Output is correct |
30 |
Correct |
6 ms |
25180 KB |
Output is correct |
31 |
Correct |
8 ms |
25180 KB |
Output is correct |
32 |
Correct |
7 ms |
25180 KB |
Output is correct |
33 |
Correct |
7 ms |
25264 KB |
Output is correct |
34 |
Correct |
7 ms |
25180 KB |
Output is correct |
35 |
Correct |
7 ms |
25180 KB |
Output is correct |
36 |
Correct |
7 ms |
25176 KB |
Output is correct |
37 |
Correct |
6 ms |
25180 KB |
Output is correct |
38 |
Correct |
7 ms |
25180 KB |
Output is correct |
39 |
Correct |
7 ms |
25180 KB |
Output is correct |
40 |
Correct |
7 ms |
25180 KB |
Output is correct |
41 |
Correct |
6 ms |
25180 KB |
Output is correct |
42 |
Correct |
7 ms |
25180 KB |
Output is correct |
43 |
Correct |
7 ms |
25180 KB |
Output is correct |
44 |
Correct |
7 ms |
25180 KB |
Output is correct |
45 |
Correct |
7 ms |
25180 KB |
Output is correct |
46 |
Correct |
7 ms |
25180 KB |
Output is correct |
47 |
Correct |
6 ms |
25180 KB |
Output is correct |
48 |
Correct |
7 ms |
25180 KB |
Output is correct |
49 |
Correct |
7 ms |
25180 KB |
Output is correct |
50 |
Correct |
7 ms |
25012 KB |
Output is correct |
51 |
Correct |
7 ms |
25180 KB |
Output is correct |
52 |
Correct |
6 ms |
25180 KB |
Output is correct |
53 |
Correct |
6 ms |
25180 KB |
Output is correct |
54 |
Correct |
8 ms |
25180 KB |
Output is correct |
55 |
Correct |
8 ms |
25180 KB |
Output is correct |
56 |
Correct |
6 ms |
25180 KB |
Output is correct |
57 |
Correct |
7 ms |
25180 KB |
Output is correct |
58 |
Correct |
7 ms |
25180 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
25180 KB |
Output is correct |
2 |
Correct |
7 ms |
25180 KB |
Output is correct |
3 |
Correct |
6 ms |
25180 KB |
Output is correct |
4 |
Correct |
7 ms |
25180 KB |
Output is correct |
5 |
Correct |
7 ms |
25180 KB |
Output is correct |
6 |
Correct |
7 ms |
25176 KB |
Output is correct |
7 |
Correct |
6 ms |
25180 KB |
Output is correct |
8 |
Correct |
6 ms |
25180 KB |
Output is correct |
9 |
Correct |
7 ms |
25176 KB |
Output is correct |
10 |
Correct |
8 ms |
25180 KB |
Output is correct |
11 |
Correct |
7 ms |
25180 KB |
Output is correct |
12 |
Correct |
6 ms |
25180 KB |
Output is correct |
13 |
Correct |
6 ms |
25180 KB |
Output is correct |
14 |
Correct |
7 ms |
25260 KB |
Output is correct |
15 |
Correct |
7 ms |
25180 KB |
Output is correct |
16 |
Correct |
7 ms |
25180 KB |
Output is correct |
17 |
Correct |
6 ms |
25180 KB |
Output is correct |
18 |
Correct |
7 ms |
25008 KB |
Output is correct |
19 |
Correct |
7 ms |
25180 KB |
Output is correct |
20 |
Correct |
7 ms |
25180 KB |
Output is correct |
21 |
Correct |
6 ms |
25176 KB |
Output is correct |
22 |
Correct |
7 ms |
25180 KB |
Output is correct |
23 |
Correct |
9 ms |
25436 KB |
Output is correct |
24 |
Correct |
7 ms |
25272 KB |
Output is correct |
25 |
Correct |
9 ms |
25180 KB |
Output is correct |
26 |
Correct |
8 ms |
25180 KB |
Output is correct |
27 |
Correct |
9 ms |
25176 KB |
Output is correct |
28 |
Correct |
7 ms |
25180 KB |
Output is correct |
29 |
Correct |
8 ms |
25180 KB |
Output is correct |
30 |
Correct |
6 ms |
25180 KB |
Output is correct |
31 |
Correct |
8 ms |
25180 KB |
Output is correct |
32 |
Correct |
7 ms |
25180 KB |
Output is correct |
33 |
Correct |
7 ms |
25264 KB |
Output is correct |
34 |
Correct |
7 ms |
25180 KB |
Output is correct |
35 |
Correct |
7 ms |
25180 KB |
Output is correct |
36 |
Correct |
7 ms |
25176 KB |
Output is correct |
37 |
Correct |
6 ms |
25180 KB |
Output is correct |
38 |
Correct |
7 ms |
25180 KB |
Output is correct |
39 |
Correct |
7 ms |
25180 KB |
Output is correct |
40 |
Correct |
7 ms |
25180 KB |
Output is correct |
41 |
Correct |
6 ms |
25180 KB |
Output is correct |
42 |
Correct |
7 ms |
25180 KB |
Output is correct |
43 |
Correct |
7 ms |
25180 KB |
Output is correct |
44 |
Correct |
7 ms |
25180 KB |
Output is correct |
45 |
Correct |
7 ms |
25180 KB |
Output is correct |
46 |
Correct |
7 ms |
25180 KB |
Output is correct |
47 |
Correct |
6 ms |
25180 KB |
Output is correct |
48 |
Correct |
7 ms |
25180 KB |
Output is correct |
49 |
Correct |
7 ms |
25180 KB |
Output is correct |
50 |
Correct |
7 ms |
25012 KB |
Output is correct |
51 |
Correct |
7 ms |
25180 KB |
Output is correct |
52 |
Correct |
6 ms |
25180 KB |
Output is correct |
53 |
Correct |
6 ms |
25180 KB |
Output is correct |
54 |
Correct |
8 ms |
25180 KB |
Output is correct |
55 |
Correct |
8 ms |
25180 KB |
Output is correct |
56 |
Correct |
6 ms |
25180 KB |
Output is correct |
57 |
Correct |
7 ms |
25180 KB |
Output is correct |
58 |
Correct |
7 ms |
25180 KB |
Output is correct |
59 |
Correct |
420 ms |
55488 KB |
Output is correct |
60 |
Correct |
391 ms |
54324 KB |
Output is correct |
61 |
Correct |
7 ms |
25180 KB |
Output is correct |
62 |
Correct |
7 ms |
25376 KB |
Output is correct |
63 |
Correct |
394 ms |
50988 KB |
Output is correct |
64 |
Correct |
9 ms |
25480 KB |
Output is correct |
65 |
Correct |
16 ms |
27228 KB |
Output is correct |
66 |
Correct |
97 ms |
40068 KB |
Output is correct |
67 |
Correct |
639 ms |
79368 KB |
Output is correct |
68 |
Correct |
732 ms |
69744 KB |
Output is correct |
69 |
Correct |
15 ms |
26716 KB |
Output is correct |
70 |
Correct |
124 ms |
40708 KB |
Output is correct |
71 |
Correct |
557 ms |
77116 KB |
Output is correct |
72 |
Correct |
500 ms |
74000 KB |
Output is correct |
73 |
Correct |
73 ms |
32464 KB |
Output is correct |
74 |
Correct |
546 ms |
52512 KB |
Output is correct |
75 |
Correct |
37 ms |
29356 KB |
Output is correct |
76 |
Correct |
439 ms |
65572 KB |
Output is correct |
77 |
Correct |
462 ms |
66248 KB |
Output is correct |
78 |
Correct |
30 ms |
28764 KB |
Output is correct |
79 |
Correct |
708 ms |
62468 KB |
Output is correct |
80 |
Correct |
10 ms |
25432 KB |
Output is correct |
81 |
Correct |
128 ms |
38152 KB |
Output is correct |
82 |
Correct |
555 ms |
63432 KB |
Output is correct |
83 |
Correct |
495 ms |
52468 KB |
Output is correct |
84 |
Correct |
533 ms |
52920 KB |
Output is correct |
85 |
Correct |
442 ms |
53028 KB |
Output is correct |
86 |
Correct |
396 ms |
54760 KB |
Output is correct |
87 |
Correct |
403 ms |
54716 KB |
Output is correct |