This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
/*
Only ends of lines and beginnings of lines matter
Go to end higher than current - certain weight
1234567
1234
123456789
0
7 goes to 4 only
9 goes to 4 and 0
4 goes to 7 and 9
0 goes to 5 and 9
*/
int main(){
std::ios::sync_with_stdio(0);
std::cin.tie(0);
int n;
std::cin>>n;
int sr,sc,tr,tc;
std::cin>>sr>>sc>>tr>>tc;
sr--,sc--,tr--,tc--;
std::vector<int> lines;
for(int i=0;i<n;i++){
int x;
std::cin>>x;
lines.push_back(x);
}
std::vector<long long> dists(2*n+2,1e18);
std::vector<std::vector<std::pair<int,int>>> edges(2*n+2);
std::vector<int> ilines;
for(int i=0;i<n;i++){//right points of lines
while(!ilines.empty()&&lines[ilines.back()]>=lines[i]){//do not use warping
edges[ilines.back()].push_back({i,i-ilines.back()});
edges[i].push_back({ilines.back(),i-ilines.back()+lines[ilines.back()]-lines[i]});
ilines.pop_back();
}
if(!ilines.empty()){
edges[i].push_back({ilines.back(),i-ilines.back()});
edges[ilines.back()].push_back({i,i-ilines.back()+lines[i]-lines[ilines.back()]});
}
ilines.push_back(i);
}
for(int i=0;i<n;i++){//left points of lines
if(i)edges[i+n].push_back({i-1,1});//left
if(i+1<n)edges[i].push_back({i+1+n,1});//right
edges[i].push_back({i+n,lines[i]});//straight right/left
edges[i+n].push_back({i,lines[i]});
if(i+1<n){
edges[i+n].push_back({i+n+1,1});//up/down
edges[i+n+1].push_back({i+n,1});
}
}
int i=sr;
for(;i>=0&&lines[i]>sc;i--){
edges[2*n].push_back({i,lines[i]-sc+sr-i});//above and to right
}
if(i>=0)edges[2*n].push_back({i,sr-i});//above and to left
i=sr+1;
for(;i<n&&lines[i]>sc;i++){
edges[2*n].push_back({i,lines[i]-sc+i-sr});//below and to right
}
if(i<n){
edges[2*n].push_back({i,i-sr});//below and to left
}
edges[2*n].push_back({sr+n,sc});//to left
i=tr;
for(;i>=0&&lines[i]>tc;i--){
edges[i].push_back({2*n+1,lines[i]-tc+tr-i});
}
if(i>=0){
edges[i].push_back({2*n+1,tc-lines[i]+tr-i});
}
i=tr+1;
for(;i<n&&lines[i]>tc;i++){
edges[i].push_back({2*n+1,lines[i]-tc+i-tr});
}
if(i<n)edges[i].push_back({2*n+1,tc-lines[i]+i-tr});
edges[tr+n].push_back({2*n+1,tc});//to right
bool candirect=true;
for(int i=std::min(sr,tr);i<=std::max(sr,tr);i++){
if(lines[i]<std::max(sc,tc))candirect=false;
}
if(candirect){
edges[2*n].push_back({2*n+1,std::abs(sr-tr)+std::abs(sc-tc)});
}
std::priority_queue<std::pair<long long,int>> dijkstra;
dijkstra.push({0,2*n});
while(!dijkstra.empty()){
std::pair<long long,int> cur=dijkstra.top();
cur.first=-cur.first;
dijkstra.pop();
if(cur.first>=dists[cur.second])continue;
dists[cur.second]=cur.first;
for(std::pair<int,int> i:edges[cur.second]){
dijkstra.push({-(cur.first+i.second),i.first});
}
}
std::cout<<dists[2*n+1]<<'\n';
}
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