#include "rail.h"
#include <bits/stdc++.h>
#define pb push_back
#define F first
#define S second
using namespace std;
using pii = pair<int, int>;
int n, l, r, tt[1000000];
vector<pii> vec;
void findLocation(int N, int first, int location[], int stype[])
{
n = N;
l = 0;
location[0] = first;
stype[0] = 1;
for(int i = 1; i < n; i++){
vec.pb({getDistance(0, i), i});
}
sort(vec.begin(), vec.end());
if(n == 1) return;
int p;
for(p=0; p<n-1; p++){
r = vec[p].S;
location[r] = location[l] + vec[p].F;
stype[r] = 1;
if(getDistance(r,l)==vec[p].F){
stype[r]=2;
tt[location[r]]=1;
break;
}
}
for(int i = p+1; i < n - 1; i++){
int k = vec[i].S;
int x = location[l] + getDistance(l, k), y = location[r] - getDistance(r, k);
int m = (x + y) >> 1;
if(tt[m]){
location[k] = y;
tt[y] = stype[k] = 0;
if(y < location[l]) l = k;
}else{
location[k] = x;
tt[x] = stype[k] = 1;
if(y > location[r]) r = k;
}
stype[k]++;
}
}
