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"
#define int long long
#define all(v) v.begin() , v.end()
#define sz(a) (int)a.size()
using namespace std;
const int INF = 1e18;
void _(){
int n;
int a,b,c,d;
cin >> n >> a >> b >> c >> d;
vector<int> pre(n+5),suf(n+5),ar(n+5);
for(int i=1;i<=n;i++){
cin >> ar[i];
ar[i]++;
}
pre[a]=suf[a]=b;
for(int i=a-1;i>=1;i--) pre[i]=min(pre[i+1],ar[i]);
for(int i=a+1;i<=n;i++) suf[i]=min(suf[i-1],ar[i]);
int ans=INF;
if(a<=c){
for(int i=a;i>=1;i--){
ans=min(ans,a-i+c-i+abs(min(pre[i],suf[c])-d));
}
}
else{
for(int i=a;i<=n;i++){
ans=min(ans,i-a+i-c+abs(min(suf[i],pre[c])-d));
}
}
vector<array<int,2>> dp_s(n+5,{INF,INF});
vector<array<int,2>> dp_t(n+5,{INF,INF});
for(int i=a;i>=1;i--){
dp_s[i][0]=min(dp_s[i][0],a-i+abs(pre[i]-1));
dp_s[i][1]=min(dp_s[i][1],a-i+abs(pre[i]-ar[i]));
}
for(int i=a;i<=n;i++){
dp_s[i][0]=min(dp_s[i][0],i-a+abs(suf[i]-1));
dp_s[i][1]=min(dp_s[i][1],i-a+abs(suf[i]-ar[i]));
}
int p=a+1;
vector<int> lol(n+5,INF);
for(int i=a;i<=n;i++){
while(p>1 && suf[i]<=pre[p-1]) p--;
if(p<=a) lol[p]=min(lol[p],2*i+suf[i]);
}
for(int i=1;i<=a;i++) lol[i]=min(lol[i],lol[i-1]);
for(int i=1;i<=a;i++) dp_s[i][0]=min(dp_s[i][0],lol[i]-a-i-1);
p=a-1;
lol.assign(n+5,INF);
for(int i=a;i>=1;i--){
while(p+1<=n && pre[i]<=suf[p+1]) p++;
if(p>=a) lol[p]=min(lol[p],-2*i+pre[i]);
}
for(int i=n;i>=a;i--) lol[i]=min(lol[i],lol[i+1]);
for(int i=a;i<=n;i++) dp_s[i][0]=min(dp_s[i][0],lol[i]+a+i-1);
p=a-1;
lol.assign(n+5,INF);
for(int i=a;i<=n;i++){
while(p<i && suf[i]<suf[p+1]) p++;
if(p>=a) lol[p]=min(lol[p],2*i+suf[i]);
}
for(int i=n;i>=a;i--) lol[i]=min(lol[i],lol[i+1]);
for(int i=a;i<=n;i++) dp_s[i][0]=min(dp_s[i][0],lol[i]-a-i-1);
p=a+1;
lol.assign(n+5,INF);
for(int i=a;i>=1;i--){
while(p>i && pre[i]<pre[p-1]) p--;
if(p<=a) lol[p]=min(lol[p],pre[i]-i);
}
for(int i=1;i<=a;i++) lol[i]=min(lol[i],lol[i-1]);
for(int i=1;i<=a;i++) dp_s[i][0]=min(dp_s[i][0],lol[i]+2*a-i-1);
swap(a,c),swap(b,d);
for(int i=1;i<=n;i++) dp_t[i][0]=abs(b-1)+abs(i-a);
pre[a]=suf[a]=ar[a];
for(int i=a-1;i>=1;i--) pre[i]=min(pre[i+1],ar[i]);
for(int i=a+1;i<=n;i++) suf[i]=min(suf[i-1],ar[i]);
for(int i=1;i<=n;i++){
if(i<=a) dp_t[i][1]=abs(i-a)+abs(pre[i]-b);
else dp_t[i][1]=abs(i-a)+abs(suf[i]-b);
}
p=1;
for(int i=a;i<=n;i++){
while(p<a && i+a-2*p+abs(b-min(suf[i],pre[p])) >= i+a-2*(p+1)+abs(b-min(suf[i],pre[p+1]))){
p++;
}
dp_t[i][1]=min(dp_t[i][1],i+a-2*p+abs(b-min(suf[i],pre[p])));
}
p=n;
for(int i=a;i<=n;i++){
while(p>i && p>a && 2*p-i-a+abs(b-suf[p]) >= 2*(p-1)-i-a+abs(b-suf[p-1])){
p--;
}
if(p<i) p=i;
dp_t[i][1]=min(dp_t[i][1],2*p-i-a+abs(b-suf[p]));
}
p=n;
for(int i=a;i>=1;i--){
while(p>a && 2*p-i-a+abs(b-min(pre[i],suf[p])) >= 2*(p-1)-i-a+abs(b-min(pre[i],suf[p-1]))){
p--;
}
dp_t[i][1]=min(dp_t[i][1],2*p-i-a+abs(b-min(pre[i],suf[p])));
}
p=1;
for(int i=a;i>=1;i--){
while(p<i && i+a-2*p+abs(b-pre[p]) >= i+a-2*(p+1)+abs(b-pre[p])){
p++;
}
if(p>i) p=i;
dp_t[i][1]=min(dp_t[i][1],i+a-2*p+abs(b-pre[p]));
}
/*for(int i=1;i<=n;i++){
cout << "i: " << i << '\n';
cout << "start: " << dp_s[i][0] << ' ' << dp_s[i][1] << '\n';
cout << "end: " << dp_t[i][0] << ' ' << dp_t[i][1] << '\n';
}*/
for(int i=1;i<=n;i++){
if(i>1) ans=min(ans,dp_s[i][0]+1+dp_t[i-1][1]);
if(i+1<=n) ans=min(ans,dp_s[i][1]+1+dp_t[i+1][0]);
}
cout << ans << '\n';
}
int32_t main(){
cin.tie(0); ios::sync_with_stdio(0);
int tc=1;//cin >> tc;
while(tc--) _();
return 0;
}
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