#include "rail.h"
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <assert.h>
#include "rail.h"
#include <set>
#include <vector>
#include <numeric>
#include <algorithm>
#include <iostream>
#include <map>
using namespace std;
void findLocation(int N, int first, int location[], int stype[])
{
int lid = 0, rid = -1;
vector<int> dist(N, 0);
for(int i = 0; i < N; i ++){
if(i == lid)continue;
int temp = getDistance(lid, i);
dist[i] = temp;
}
vector<int> order(N);
iota(order.begin(), order.end(), 0);
sort(order.begin(), order.end(), [&](int a, int b){return dist[a] < dist[b];});
int d = dist[order[1]];
rid = order[1];
lid = order[0];
stype[order[0]] = 1;
stype[order[1]] = 2;
location[order[0]] = first;
location[order[1]] = first + d;
map<int, int> who;
who[location[order[0]]] = lid;
who[location[order[1]]] = rid;
for(int i : order){
if(stype[i])continue;
int t1 = getDistance(lid, i);
int t2 = getDistance(rid, i);
int t = location[lid] + (t1 - t2 + d) / 2;
int type = who.find(t) == who.end() ? (t > first ? 1 : 2) : stype[who[t]];
//cout << type << endl;
if (type == 2){
stype[i] = 1;
location[i] = location[rid] - t2;
if(t2 > d){
d = t2;
lid = i;
}
who[location[i]] = i;
}
else{
stype[i] = 2;
location[i] = location[lid] + t1;
if(t1 > d){
d = t1;
rid = i;
}
who[location[i]] = i;
}
}
//for(int i = 0; i < N; i ++) cout << location[i] << " ";
//cout << endl;
//for(int i = 0; i < N; i ++)cout << stype[i] << " ";
//cout << endl;
}
