#include "rail.h"
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
#define ff first
#define ss second
#define pii pair<int,int>
#define vi vector<int>
void findLocation(int n, int f, int location[], int stype[]){
if(n == 1){
location[0] = f;
stype[0] = 1;
return;
}
vector<pii> d(n);
vector<bool> vis(n);
vector<int> dist(n);
for(int i = 1; i < n; ++i){
d[i] = {getDistance(0, i), i};
dist[i] = d[i].ff;
}
location[0] = f;
stype[0] = 1;
d[0] = {MOD, 0};
sort(all(d));
int R = d[0].ss, L = 0;
vis[0] = 1;
vis[R] = 1;
location[R] = f + d[0].ff;
stype[R] = 2;
for(int i = 1; i + 1 < n; ++i){
int y = getDistance(d[0].ss, d[i].ss);
int x = d[i].ff;
if(x == y + dist[d[0].ss] && y <= dist[d[0].ss]){ // inside
location[d[i].ss] = location[d[0].ss] - y;
stype[d[i].ss] = 1;
}else if(x == y + dist[d[0].ss]){ // lefter
int z = getDistance(d[i].ss, L);
if(z == y + location[d[0].ss] - location[L] && y <= location[d[0].ss] - location[L]){ // inside
stype[d[i].ss] = 2;
location[d[i].ss] = location[L] + z;
}else{ // lefter
location[d[i].ss] = location[d[0].ss] - y;
stype[d[i].ss] = 1;
L = d[i].ss;
}
}else{ // righer
int z = getDistance(d[i].ss, R);
if(x == z + location[R] - f && z <= location[R] - f){ // inside
stype[d[i].ss] = 1;
location[d[i].ss] = location[R] - z;
}else{ // rigter
location[d[i].ss] = f + x;
stype[d[i].ss] = 2;
R = d[i].ss;
}
}
}
}
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