This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define DIM 100010
#define INF 2000000000
using namespace std;
vector <int> L[DIM],w[DIM];
int v[DIM],fth[DIM],sp[DIM],f[DIM],viz[DIM],d[DIM];
int n,i,x,y,sol_min,sol_max,k,idx,poz;
void dfs (int nod, int tata){
fth[nod] = tata;
sp[nod] = 1;
for (auto vecin : L[nod])
if (vecin != tata){
dfs (vecin,nod);
sp[nod] += sp[vecin];
}
if (nod != 1 && v[nod] == nod){
sol_min += 2;
swap (v[nod],v[fth[nod]]);
}
sol_max += 2 * min (sp[nod],n-sp[nod]);
}
int get_centroid (int nod, int tata){
int maxim = 0, heavy_son = 0;
for (auto vecin : L[nod]){
if (vecin == tata)
continue;
if (sp[vecin] > maxim)
maxim = sp[vecin], heavy_son = vecin;
}
if (maxim <= n/2 && n - sp[nod] <= n/2)
return nod;
else return get_centroid(heavy_son,nod);
}
void dfs2 (int nod, int idx){
w[idx].push_back(nod);
viz[nod] = 1;
f[nod] = idx;
for (auto vecin : L[nod])
if (!viz[vecin])
dfs2 (vecin,idx);
}
inline int cmp (int a, int b){
return w[a].size() >= w[b].size();
}
int main (){
//ifstream cin ("date.in");
//ofstream cout ("date.out");
cin>>n;
for (i=1;i<n;i++){
cin>>x>>y;
L[x].push_back(y);
L[y].push_back(x);
}
for (i=1;i<=n;i++)
v[i] = i;
dfs (1,0);
for (i=1;i<=n;i++)
if (v[i] == i){
sol_min += 2;
if (i != 1)
swap (v[i],v[fth[i]]);
else swap (v[i],v[L[1][0]]);
}
cout<<sol_min<<" "<<sol_max<<"\n";
for (i=1;i<=n;i++)
cout<<v[i]<<" ";
cout<<"\n";
memset (v,0,sizeof v);
int centroid = get_centroid(1,0);
viz[centroid] = 1;
w[centroid].push_back(centroid);
d[++k] = centroid;
int mini = n, poz;
for (auto vecin : L[centroid]){
dfs2 (vecin,vecin);
d[++k] = vecin;
//cout<<w[vecin].size()<<"\n";
}
sort (d+1,d+k+1,cmp);
for (int poz=2;poz<=k;poz++){
int i = w[d[poz]].size()-1;
int j = w[d[poz-1]].size()-1;
while (i >= 0){
v[w[d[poz]][i]] = w[d[poz-1]][j];
i--, j --;
}
}
idx = 2, poz = w[d[2]].size() - 1;
for (i=1;i<=k;i++){
for (int j=0;j<w[d[i]].size();j++){
v[w[d[i]][j]] = w[d[idx]][poz];
poz--;
if (poz < 0){
idx++;
if (idx > k)
idx = 1;
poz = w[d[idx]].size()-1;
}
}
}
/*for (i=0;i<w[d[1]].size();i++){
int x = w[d[1]][i];
while (f[idx] == d[1] || )
idx++;
v[x] = idx++;
}
*/
for (i=1;i<=n;i++)
cout<<v[i]<<" ";
/*for (i=1;i<=n;i++)
if (v[i] == 0)
cout<<"a";*/
return 0;
}
Compilation message (stderr)
Village.cpp: In function 'int main()':
Village.cpp:128:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
128 | for (int j=0;j<w[d[i]].size();j++){
| ~^~~~~~~~~~~~~~~
Village.cpp:99:9: warning: unused variable 'mini' [-Wunused-variable]
99 | int mini = n, poz;
| ^~~~
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