//#include <wiring.h>
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define ll long long
#define itr ::iterator
typedef pair<ll,ll> pii;
const ll MAX=3e5;
const ll INF=1e17;
vector<pii> vec,blocks;
ll arr[MAX],dp[MAX],Min[MAX],Max[MAX];
void relax(int idx)
{
ll cur=0;
for(int A=blocks[idx].second;A>=blocks[idx].first;A--)
{
cur+=arr[blocks[idx].second]-arr[A];
Min[A]=min(dp[A],dp[A-1])+cur;
Max[A]=min(dp[A],dp[A-1])+cur+(blocks[idx].second-A+1)*(arr[blocks[idx+1].first]-arr[blocks[idx].second]);
assert(Min[A]>=0);
assert(Max[A]>=0);
}
for(int A=blocks[idx].second-1;A>=blocks[idx].first;A--)
Min[A]=min(Min[A],Min[A+1]);
for(int A=blocks[idx].first+1;A<=blocks[idx].second;A++)
Max[A]=min(Max[A],Max[A-1]);
return ;
}
ll min_total_length(vector<int> r={1,2,3,7},vector<int> b={0,4,5,9,10})
{
for(int A=0;A<r.size();A++)
vec.pb(mp(r[A],0));
for(int A=0;A<b.size();A++)
vec.pb(mp(b[A],1));
sort(vec.begin(),vec.end());
for(int A=0;A<vec.size();A++)
arr[A+1]=vec[A].first;
ll cur=0;
for(int A=1;A<vec.size();A++)
{
if(vec[A].second!=vec[A-1].second)
{
blocks.pb(mp(cur+1,A-1+1));
cur=A;
}
}
blocks.pb(mp(cur+1,vec.size()-1+1));
/*for(auto A:blocks)
cout<<A.first<<" "<<A.second<<"\n";*/
cur=0;
for(int A=blocks[0].first;A<=blocks[0].second;A++)
{
dp[A]=INF;
cur+=arr[blocks[0].second]-arr[A];
}
for(int A=blocks[1].first;A<=blocks[1].second;A++)
{
cur+=arr[A]-arr[blocks[1].first];
dp[A]=cur+max(A-blocks[1].first+1,blocks[0].second-blocks[0].first+1)*(arr[blocks[1].first]-arr[blocks[0].second]);
}
for(int A=2;A<blocks.size();A++)
{
relax(A-1);
cur=0;
for(int B=blocks[A].first;B<=blocks[A].second;B++)
{
dp[B]=INF;
cur+=arr[B]-arr[blocks[A].first];
ll actual=B-blocks[A].first,C=blocks[A-1].second-actual;
if(blocks[A-1].second-actual>=blocks[A-1].first)
{
dp[B]=min(dp[B],cur+Max[C]);
dp[B]=min(dp[B],cur+Min[C]+(arr[blocks[A].first]-arr[blocks[A-1].second])*(actual+1));
}
else
dp[B]=min(dp[B],cur+Min[blocks[A-1].first]+(arr[blocks[A].first]-arr[blocks[A-1].second])*(actual+1));
}
}
return dp[vec.size()];
}
/*signed main()
{
ios_base::sync_with_stdio(false);
cout<<min_total_length();
return 0;
}*/
