This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// M
#include<bits/stdc++.h>
#include "fun.h"
using namespace std;
const int N = 100005;
int n, Centroid, H[N];
map < int , int > MP[N];
inline int GetDist(int i, int j)
{
if (i == j)
return 0;
if (MP[i][j])
return MP[i][j];
MP[i][j] = MP[j][i] = hoursRequired(i, j);
return MP[i][j];
}
vector < int > createFunTour(int _n, int Q)
{
n = _n;
Centroid = 0;
for (int i = 1; i < n; i ++)
if (attractionsBehind(Centroid, i) * 2 > n)
Centroid = i;
vector < int > Ch, vec[3];
for (int i = 0; i < n; i ++)
H[i] = GetDist(Centroid, i);
for (int i = 0; i < n; i ++)
if (H[i] == 1)
Ch.push_back(i);
assert((int)Ch.size() <= 3);
int k = (int)Ch.size();
for (int i = 0; i < n; i ++)
if (H[i] >= 1)
{
int j = 0;
while (j + 1 < k && H[i] != GetDist(Ch[j], i) + 1)
j ++;
vec[j].push_back(i);
}
int mx = 0;
for (int i = 0; i < k; i ++)
mx = max(mx, (int)vec[i].size());
assert(mx <= n / 2);
for (int i = 0; i < k; i ++)
sort(vec[i].begin(), vec[i].end(), [&](int v, int u){return H[v] < H[u];});
int last = -1;
vector < int > P;
while (true)
{
int j = -1;
for (int i = 0; i < k; i ++)
if (i != last && (j == -1 || vec[i].size() > vec[j].size()))
j = i;
if (j == -1 || !vec[j].size())
break;
P.push_back(vec[j].back());
vec[j].pop_back();
last = j;
}
P.push_back(Centroid);
int Cnt = 0;
for (int i = 0; i < k; i ++)
if (vec[i].size())
Cnt ++;
assert(Cnt <= 1);
if (!Cnt)
return P;
int j = 0;
while (!vec[j].size())
j ++;
assert((int)vec[j].size() == 1);
P.push_back(vec[j].back());
return P;
}
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