#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define nd second
#define st first
typedef pair<ll, ll> pii;
const int maxn = (1e+5)+9;
vector <ll> t[maxn];
ll siz[maxn];
ll dep[maxn];
ll sumdep[maxn];
ll cen = -1;
ll dp[maxn][2];
vector<pii> resmin[maxn][2];
ll tabmin[maxn];
ll tabmax[maxn];
vector <int> podd[maxn];
ll N;
void rek(int v , int o , int re)
{
set <int> V[2]; ll mini = (1e+18); bool B = 0;
int p , ind = -1;
for(int i = 0 ;i < t[v].size();i++)
{
p = t[v][i];
if(p == o)continue;
if(dp[p][1]+2 <= dp[p][0])
{
V[1].insert(p);
B = 1;
}
else
{
V[0].insert(p);
if(dp[p][1]+2-dp[p][0] < mini)ind = p;
mini = min(dp[p][1]+2-dp[p][0] , mini);
}
}
if(B == 0 && re == 0)
{
V[0].erase(ind);
V[1].insert(ind);
}
for(auto it = V[1].begin() ; it != V[1].end() ; it++)
{
rek(*it,v,1);
}
for(auto it = V[0].begin() ; it != V[0].end() ; it++)
{
rek(*it,v,0);
}
if(re == 0)V[1].insert(v);
vector <int> vec;
for(auto it = V[1].begin() ; it != V[1].end() ; it++)
{
vec.push_back(*it);
}
for(int i = 0 ; i < vec.size() ;i++)
{
tabmin[vec[i]] = vec[(i+1)%vec.size()];
}
}
void DFS(int v , int o)
{
ll ind = -1;
ll p , res = 0; bool B = 0; ll mini = (1e+18);
for(int i = 0 ;i < t[v].size();i++)
{
p = t[v][i];
if(p == o)continue;
DFS(p,v);
if(dp[p][1]+2 <= dp[p][0])
{
res += dp[p][1]+2;
B = 1;
}
else
{
res += dp[p][0];
if(dp[p][1]+2-dp[p][0] < mini)ind = p;
mini = min(dp[p][1]+2-dp[p][0] , mini);
}
}
dp[v][1] = res;
if(B == 0)
{
res += mini;
}
dp[v][0] = res;
if(v == 1)
{
rek(1,-1,0);
}
}
void DFS2(int v, int o)
{
siz[v] = 1;
int p , pmax = 0;
for(int i = 0; i < t[v].size() ;i++)
{
p = t[v][i];
if(p == o)continue;
DFS2(p,v);
pmax = max((ll)pmax,siz[p]);
siz[v] += siz[p];
}
pmax = max((ll)pmax,N-siz[v]);
if(pmax <= N/2)cen = v;
}
void DFS3(int v ,int o , int c)
{
podd[c].push_back(v);
sumdep[v] = dep[v];
int p;
for(int i = 0 ;i < t[v].size() ;i++)
{
p = t[v][i];
if(p == o)continue;
dep[p] = dep[v]+1;
DFS3(p,v,c);
sumdep[v] += sumdep[p];
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
ll A , B;
cin >> N;
for(int i = 0 ;i < N-1 ; i++)
{
cin >> A >> B;
t[A].push_back(B);
t[B].push_back(A);
}
if(N == 2)
{
cout << 2 << ' ' << 2 << '\n';
cout << 2 << ' ' << 1 << '\n';
cout << 2 << ' ' << 1 << '\n';
return 0;
}
priority_queue <pii> q;
ll ansmax = 0;
DFS2(1,-1);
podd[cen].push_back(cen);
for(int i = 0 ; i < t[cen].size() ;i++)
{
dep[t[cen][i]] = 1;
DFS3(t[cen][i],cen,t[cen][i]);
ansmax += sumdep[t[cen][i]];
q.push({podd[t[cen][i]].size(),t[cen][i]});
}
if(N%2)
{
A = q.top().nd;
q.pop();
B = q.top().nd;
q.pop();
tabmax[podd[A][podd[A].size()-1]] = cen;
tabmax[cen] = podd[B][podd[B].size()-1];
tabmax[podd[B][podd[B].size()-1]] = podd[A][podd[A].size()-1];
podd[A].pop_back();
podd[B].pop_back();
if(podd[A].size() > 0)q.push({podd[A].size(),A});
if(podd[B].size() > 0)q.push({podd[B].size(),B});
}
else
{
q.push({1,cen});
}
while(!q.empty())
{
A = q.top().nd;
q.pop();
B = q.top().nd;
q.pop();
tabmax[podd[A][podd[A].size()-1]] = podd[B][podd[B].size()-1];
tabmax[podd[B][podd[B].size()-1]] = podd[A][podd[A].size()-1];
podd[A].pop_back();
podd[B].pop_back();
if(podd[A].size() > 0)q.push({podd[A].size(),A});
if(podd[B].size() > 0)q.push({podd[B].size(),B});
}
DFS(1,-1);
cout << dp[1][0] << ' ' << ansmax*2 << '\n';
for(int i = 1 ; i <= N ; i++)cout << tabmin[i] << ' '; cout << '\n';
for(int i = 1 ; i <= N ; i++)cout << tabmax[i] << ' '; cout << '\n';
return 0;
}
Compilation message
Village.cpp: In function 'void rek(int, int, int)':
Village.cpp:26:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
26 | for(int i = 0 ;i < t[v].size();i++)
| ~~^~~~~~~~~~~~~
Village.cpp:66:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
66 | for(int i = 0 ; i < vec.size() ;i++)
| ~~^~~~~~~~~~~~
Village.cpp: In function 'void DFS(int, int)':
Village.cpp:77:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
77 | for(int i = 0 ;i < t[v].size();i++)
| ~~^~~~~~~~~~~~~
Village.cpp:75:8: warning: variable 'ind' set but not used [-Wunused-but-set-variable]
75 | ll ind = -1;
| ^~~
Village.cpp: In function 'void DFS2(int, int)':
Village.cpp:115:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
115 | for(int i = 0; i < t[v].size() ;i++)
| ~~^~~~~~~~~~~~~
Village.cpp: In function 'void DFS3(int, int, int)':
Village.cpp:134:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
134 | for(int i = 0 ;i < t[v].size() ;i++)
| ~~^~~~~~~~~~~~~
Village.cpp: In function 'int main()':
Village.cpp:169:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
169 | for(int i = 0 ; i < t[cen].size() ;i++)
| ~~^~~~~~~~~~~~~~~
Village.cpp:222:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
222 | for(int i = 1 ; i <= N ; i++)cout << tabmin[i] << ' '; cout << '\n';
| ^~~
Village.cpp:222:60: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
222 | for(int i = 1 ; i <= N ; i++)cout << tabmin[i] << ' '; cout << '\n';
| ^~~~
Village.cpp:223:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
223 | for(int i = 1 ; i <= N ; i++)cout << tabmax[i] << ' '; cout << '\n';
| ^~~
Village.cpp:223:60: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
223 | for(int i = 1 ; i <= N ; i++)cout << tabmax[i] << ' '; cout << '\n';
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Partially correct |
4 ms |
9816 KB |
Partially correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9824 KB |
Output is correct |
5 |
Correct |
4 ms |
9820 KB |
Output is correct |
6 |
Correct |
4 ms |
9820 KB |
Output is correct |
7 |
Correct |
4 ms |
9816 KB |
Output is correct |
8 |
Correct |
4 ms |
9820 KB |
Output is correct |
9 |
Correct |
3 ms |
9820 KB |
Output is correct |
10 |
Correct |
3 ms |
9820 KB |
Output is correct |
11 |
Correct |
4 ms |
9760 KB |
Output is correct |
12 |
Correct |
4 ms |
9820 KB |
Output is correct |
13 |
Correct |
3 ms |
9820 KB |
Output is correct |
14 |
Correct |
4 ms |
9820 KB |
Output is correct |
15 |
Correct |
3 ms |
9908 KB |
Output is correct |
16 |
Correct |
4 ms |
9820 KB |
Output is correct |
17 |
Correct |
3 ms |
9912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9816 KB |
Output is correct |
2 |
Correct |
5 ms |
9820 KB |
Output is correct |
3 |
Correct |
5 ms |
9816 KB |
Output is correct |
4 |
Partially correct |
4 ms |
9820 KB |
Partially correct |
5 |
Correct |
5 ms |
9820 KB |
Output is correct |
6 |
Correct |
4 ms |
9820 KB |
Output is correct |
7 |
Correct |
4 ms |
10076 KB |
Output is correct |
8 |
Correct |
4 ms |
9820 KB |
Output is correct |
9 |
Correct |
4 ms |
9820 KB |
Output is correct |
10 |
Correct |
4 ms |
10076 KB |
Output is correct |
11 |
Partially correct |
4 ms |
10076 KB |
Partially correct |
12 |
Correct |
4 ms |
10072 KB |
Output is correct |
13 |
Correct |
4 ms |
10076 KB |
Output is correct |
14 |
Correct |
4 ms |
9820 KB |
Output is correct |
15 |
Correct |
4 ms |
9820 KB |
Output is correct |
16 |
Correct |
4 ms |
9820 KB |
Output is correct |
17 |
Correct |
4 ms |
9820 KB |
Output is correct |
18 |
Correct |
4 ms |
9820 KB |
Output is correct |
19 |
Correct |
5 ms |
10076 KB |
Output is correct |
20 |
Correct |
5 ms |
9820 KB |
Output is correct |
21 |
Correct |
4 ms |
9820 KB |
Output is correct |
22 |
Correct |
4 ms |
9820 KB |
Output is correct |
23 |
Correct |
4 ms |
9816 KB |
Output is correct |
24 |
Correct |
4 ms |
9820 KB |
Output is correct |
25 |
Correct |
4 ms |
9836 KB |
Output is correct |
26 |
Correct |
5 ms |
10072 KB |
Output is correct |
27 |
Correct |
4 ms |
9820 KB |
Output is correct |
28 |
Correct |
4 ms |
10044 KB |
Output is correct |
29 |
Correct |
5 ms |
9820 KB |
Output is correct |
30 |
Correct |
4 ms |
9820 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
9820 KB |
Output is correct |
2 |
Partially correct |
4 ms |
9816 KB |
Partially correct |
3 |
Correct |
4 ms |
9820 KB |
Output is correct |
4 |
Correct |
4 ms |
9824 KB |
Output is correct |
5 |
Correct |
4 ms |
9820 KB |
Output is correct |
6 |
Correct |
4 ms |
9820 KB |
Output is correct |
7 |
Correct |
4 ms |
9816 KB |
Output is correct |
8 |
Correct |
4 ms |
9820 KB |
Output is correct |
9 |
Correct |
3 ms |
9820 KB |
Output is correct |
10 |
Correct |
3 ms |
9820 KB |
Output is correct |
11 |
Correct |
4 ms |
9760 KB |
Output is correct |
12 |
Correct |
4 ms |
9820 KB |
Output is correct |
13 |
Correct |
3 ms |
9820 KB |
Output is correct |
14 |
Correct |
4 ms |
9820 KB |
Output is correct |
15 |
Correct |
3 ms |
9908 KB |
Output is correct |
16 |
Correct |
4 ms |
9820 KB |
Output is correct |
17 |
Correct |
3 ms |
9912 KB |
Output is correct |
18 |
Correct |
4 ms |
9816 KB |
Output is correct |
19 |
Correct |
5 ms |
9820 KB |
Output is correct |
20 |
Correct |
5 ms |
9816 KB |
Output is correct |
21 |
Partially correct |
4 ms |
9820 KB |
Partially correct |
22 |
Correct |
5 ms |
9820 KB |
Output is correct |
23 |
Correct |
4 ms |
9820 KB |
Output is correct |
24 |
Correct |
4 ms |
10076 KB |
Output is correct |
25 |
Correct |
4 ms |
9820 KB |
Output is correct |
26 |
Correct |
4 ms |
9820 KB |
Output is correct |
27 |
Correct |
4 ms |
10076 KB |
Output is correct |
28 |
Partially correct |
4 ms |
10076 KB |
Partially correct |
29 |
Correct |
4 ms |
10072 KB |
Output is correct |
30 |
Correct |
4 ms |
10076 KB |
Output is correct |
31 |
Correct |
4 ms |
9820 KB |
Output is correct |
32 |
Correct |
4 ms |
9820 KB |
Output is correct |
33 |
Correct |
4 ms |
9820 KB |
Output is correct |
34 |
Correct |
4 ms |
9820 KB |
Output is correct |
35 |
Correct |
4 ms |
9820 KB |
Output is correct |
36 |
Correct |
5 ms |
10076 KB |
Output is correct |
37 |
Correct |
5 ms |
9820 KB |
Output is correct |
38 |
Correct |
4 ms |
9820 KB |
Output is correct |
39 |
Correct |
4 ms |
9820 KB |
Output is correct |
40 |
Correct |
4 ms |
9816 KB |
Output is correct |
41 |
Correct |
4 ms |
9820 KB |
Output is correct |
42 |
Correct |
4 ms |
9836 KB |
Output is correct |
43 |
Correct |
5 ms |
10072 KB |
Output is correct |
44 |
Correct |
4 ms |
9820 KB |
Output is correct |
45 |
Correct |
4 ms |
10044 KB |
Output is correct |
46 |
Correct |
5 ms |
9820 KB |
Output is correct |
47 |
Correct |
4 ms |
9820 KB |
Output is correct |
48 |
Correct |
60 ms |
20840 KB |
Output is correct |
49 |
Correct |
59 ms |
21864 KB |
Output is correct |
50 |
Correct |
60 ms |
21800 KB |
Output is correct |
51 |
Correct |
46 ms |
19232 KB |
Output is correct |
52 |
Correct |
58 ms |
21840 KB |
Output is correct |
53 |
Correct |
66 ms |
20720 KB |
Output is correct |
54 |
Correct |
45 ms |
29452 KB |
Output is correct |
55 |
Correct |
89 ms |
51380 KB |
Output is correct |
56 |
Partially correct |
101 ms |
37020 KB |
Partially correct |
57 |
Correct |
71 ms |
32336 KB |
Output is correct |
58 |
Correct |
73 ms |
27304 KB |
Output is correct |
59 |
Correct |
72 ms |
22352 KB |
Output is correct |
60 |
Correct |
90 ms |
31792 KB |
Output is correct |
61 |
Correct |
69 ms |
25828 KB |
Output is correct |
62 |
Correct |
58 ms |
22248 KB |
Output is correct |
63 |
Correct |
52 ms |
21828 KB |
Output is correct |
64 |
Correct |
51 ms |
22352 KB |
Output is correct |
65 |
Correct |
51 ms |
22480 KB |
Output is correct |
66 |
Correct |
52 ms |
22228 KB |
Output is correct |
67 |
Correct |
48 ms |
20900 KB |
Output is correct |
68 |
Correct |
42 ms |
20384 KB |
Output is correct |
69 |
Correct |
53 ms |
22484 KB |
Output is correct |
70 |
Correct |
47 ms |
21840 KB |
Output is correct |
71 |
Correct |
36 ms |
18772 KB |
Output is correct |
72 |
Correct |
42 ms |
19792 KB |
Output is correct |
73 |
Correct |
57 ms |
22404 KB |
Output is correct |
74 |
Correct |
50 ms |
21332 KB |
Output is correct |
75 |
Correct |
58 ms |
22220 KB |
Output is correct |
76 |
Correct |
53 ms |
21748 KB |
Output is correct |
77 |
Correct |
53 ms |
21968 KB |
Output is correct |
78 |
Correct |
35 ms |
18012 KB |
Output is correct |
79 |
Correct |
41 ms |
19536 KB |
Output is correct |
80 |
Correct |
57 ms |
22224 KB |
Output is correct |
81 |
Correct |
51 ms |
22096 KB |
Output is correct |
82 |
Correct |
55 ms |
21888 KB |
Output is correct |