#include "walk.h"
#include <bits/stdc++.h>
using namespace std;
map<pair<int,int>,int> mp;
vector<pair<int,int>>adj[1000005];
long long dis[1000005];
long long INF=LONG_LONG_MAX;
bool vis[1000005];
void dijkstra(int source){
class prioritize{
public: bool operator ()(pair<int,long long>&p1 ,pair<int,long long>&p2){
return p1.second>p2.second;
}
};
for(int i=0;i<=1000000;i++) dis[i]=INF;
priority_queue<pair<int,long long>,vector<pair<int,long long>>,prioritize>pq;
dis[source]=0;
pq.push({source,0});
while(!pq.empty()){
pair<int,long long>curr=pq.top();
pq.pop();
int cv=curr.first;
long long cw=curr.second;
if(vis[cv]) continue;
vis[cv]=true;
for(auto i:adj[cv]){
if(vis[i.first]) continue;
if(i.second+cw<dis[i.first]){
dis[i.first]=i.second+cw;
//cout<<i.first<<" "<<dis[i.first]<<endl;
pq.push({i.first,dis[i.first]});
}
}
}
}
long long min_distance(vector<int> x, vector<int> h, vector<int> l, vector<int> r, std::vector<int> y, int s, int g) {
vector<pair<int,int>>all;
int n = x.size(), m = l.size();
mp[{s,0}]=0;
mp[{g,0}]=1;
int cnt = 2;
all.push_back({s,0});
all.push_back({g,0});
for(int i = 0; i < m; i++){
int last=-1;
for(int j = l[i]; j <= r[i]; j++){
if(!mp[{j, y[i]}] && h[j] >= y[i]){
all.push_back({j, y[i]});
mp[{j, y[i]}] =cnt;
//cout<<mp[{j,y[i]}]<<endl;
cnt++;
}
if(h[j]>=y[i]){
if(last!=-1){
adj[mp[{j,y[i]}]].push_back({mp[{last,y[i]}],x[j]-x[last]});
adj[mp[{last,y[i]}]].push_back({mp[{j,y[i]}],x[j]-x[last]});
//cout<<mp[{j,y[i]}]<<" "<<mp[{last,y[i]}]<<" "<<x[j]-x[last]<<endl;
}
last = j;
}
}
}
//cout<<e;
sort(all.begin(),all.end());
for(int i=1; i < all.size(); i++){
if(all[i].first == all[i-1].first){
adj[mp[all[i]]].push_back({mp[all[i-1]], all[i].second-all[i-1].second});
adj[mp[all[i-1]]].push_back({mp[all[i]], all[i].second-all[i-1].second});
}
}
dijkstra(0);
if(dis[1]==INF) return -1;
return dis[1];
}
