#include "rail.h"
#pragma GCC optimize("O1,O2,O3,Ofast,unroll-loops")
#include <bits/stdc++.h>
#include <string>
#include <iostream>
#include <cmath>
#include <numeric>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<int, int> pl;
typedef pair<ld, ld> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<vector<int>> vvi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
#define FOR(i, a, b) for (int i = a; i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i, a, b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i, a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto &a : x)
#define uid(a, b) uniform_int_distribution<int>(a, b)(rng)
#define len(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define F first
#define nl endl
#define S second
#define lb lower_bound
#define ub upper_bound
#define aint(x) x.begin(), x.end()
#define raint(x) x.rbegin(), x.rend()
#define ins insert
const int MOD = 1000000007;
void findLocation(int N, int first, int location[], int stype[])
{
location[0] = first;
stype[0] = 1;
if(N == 1)return;
vi dist(N,0);
int min_pos = -1,min_dis = -1;
FOR(i,1,N){
int val = getDistance(0,i);
if(val < min_dis || min_dis == -1){
min_dis = val;
min_pos = i;
}
dist[i] = val;
}
location[min_pos] = min_dis + location[0];
FOR(i,1,N){
if(i == min_pos)continue;
int val = getDistance(min_pos,i);
if(val < dist[i]){
stype[i] = 1;
location[i] = location[min_pos] - val;
}else{
stype[i] = 2;
location[i] = first+dist[i];
}
}
}
