#include<bits/stdc++.h>
#include "rail.h"
using namespace std;
#define F first
#define S second
#define ll long long
#define maksim gay
// #define int ll
#define pb push_back
#define sz(s) (int)s.size()
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define mem(a,i) memset(a,i,sizeof(a))
#define in insert
#define lb lower_bound
#define ub upper_bound
#define y1 yy
#define ppb pop_back
const int MAX=2e6+10;
const int inf=2e9;
const int N=2e5;
const int mod=998244353;
int binpow(int a,int n){
if(n==0)return 1;
if(n%2)return a*binpow(a,n-1)%mod;
int k=binpow(a,n/2);
return k*k%mod;
}
int d[MAX];
int use[MAX];
int d1[MAX];
int d2[MAX];
void findLocation(int n, int first, int location[], int stype[])
{
int fin=-1;
int st=0;
for(int i=0;i<n;i++){
stype[i]=0;
if(i==st)continue;
d[i]=getDistance(st,i);
if(fin==-1||d[fin]>d[i])fin=i;
}
location[0]=first;
stype[0]=1;
if(n==1)return;
for(int i=0;i<n;i++){
if(i==fin)continue;
d1[i]=getDistance(fin,i);
}
location[fin]=first+d[fin];
stype[fin]=2;
vector<pii> vec,vec1;
for(int i=0;i<n;i++){
if(i==st||i==fin)continue;
if(d[i]==d[fin]+d1[i]){
vec.pb({d[i],i});
}
else{
vec1.pb({d1[i],i});
}
}
sort(all(vec));
int last=st;
vector<pii> Op;
// Op.pb({location[st],st});
int lo=-1;
for(auto [ff,v]:vec){
if(lo==-1){
stype[v]=1;
location[v]=location[fin]-d1[v];
lo=v;
Op.pb({location[v],v});
continue;
}
int dd=getDistance(v,lo);
// cout<<v<<" "<<dd<<"\n";
bool ok=0;
for(auto [dv,u]:Op){
// cout<<d[v]<<" "<<d[u]<<" "<<dd<<"\n";
if(d[v]==d[u]+dd-(location[u]-location[lo])){
location[v]=location[lo]+dd;
stype[v]=2;
ok=1;
break;
}
}
if(!ok){
stype[v]=1;
location[v]=location[fin]-d1[v];
lo=v;
Op.pb({location[v],v});
}
}
sort(all(vec1));
Op.clear();
lo=-1;
for(auto [ff,v]:vec1){
if(lo==-1){
stype[v]=2;
location[v]=location[st]+d[v];
lo=v;
Op.pb({location[v],v});
continue;
}
int dd=getDistance(v,lo);
bool ok=0;
for(auto [dv,u]:Op){
if(d[v]==d[u]+dd+(location[u]-location[lo])){
location[v]=location[lo]-dd;
stype[v]=1;
ok=1;
break;
}
}
if(!ok){
stype[v]=2;
location[v]=location[st]+d[v];
lo=v;
Op.pb({location[v],v});
}
}
}
