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], B[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);
}
for (int i = 0; i < k; i ++)
sort(vec[i].begin(), vec[i].end(), [&](int v, int u){return H[v] < H[u];});
B[Centroid] = -1;
for (int i = 0; i < k; i ++)
for (int v : vec[i])
B[v] = i;
int last = -1;
vector < int > P;
while (true)
{
int mx = 0;
for (int i = 0; i < k; i ++)
mx = max(mx, (int)vec[i].size());
int sm = 0;
for (int i = 0; i < k; i ++)
sm += (int)vec[i].size();
if (!sm)
break;
if (mx >= sm - mx)
{
int j = -1;
assert(mx <= sm - mx + 1);
for (int i = 0; i < k; i ++)
if ((int)vec[i].size() == mx)
j = i;
assert(j != last && j != -1);
vec[0].swap(vec[j]);
vector < int > tmp;
for (int a : vec[1]) tmp.push_back(a);
for (int a : vec[2]) tmp.push_back(a);
sort(tmp.begin(), tmp.end(), [&](int v, int u){return H[v] < H[u];});
while (tmp.size() && vec[0].size())
{
P.push_back(vec[0].back());
vec[0].pop_back();
P.push_back(tmp.back());
tmp.pop_back();
}
assert(!tmp.size());
if (vec[0].size())
{
assert((int)vec[0].size() == 1);
P.push_back(vec[0][0]);
}
P.push_back(Centroid);
assert((int)P.size() == n);
for (int i = 0; i + 1 < n; i ++)
assert(B[P[i]] != B[P[i + 1]]);
return P;
}
int j = -1, h = -1;
for (int i = 0; i < k; i ++)
if (i != last && vec[i].size() && h < H[vec[i].back()])
h = max(h, H[vec[i].back()]), j = i;
/*for (int i = 0; i < k; i ++)
if (i != last && vec[i].size() && H[vec[i].back()] == h && (j == -1 || vec[i].size() > vec[j].size()))
j = i;*/
assert(j != -1 && j != last);
if (P.size() > 1)
assert(H[P[(int)P.size() - 2]] >= H[vec[j].back()]);
P.push_back(vec[j].back());
vec[j].pop_back();
last = j;
}
assert(0);
}
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