#include <bits/stdc++.h>
using namespace std;
#include "wiring.h"
int n;
const long long inf = 1e18;
vector<int> groupInd;
vector<pair<int, int> > interv;
vector<pair<int, int> > groups;
vector<long long> toRight, toLeft;
vector<long long> ikiL, ikiR;
vector<long long> kaimL, kaimR;
long long f(int l, int r) {
long long ret = 0;
ret += toRight[l];
ret += toLeft[r];
ret += kaimR[l] * max(ikiR[l], ikiL[r]);
return ret;
}
void calcToLeft(int l, int r, int ind) {
int dst = -1;
if(ind != 0) dst = abs(groups[interv[ind-1].second].first - groups[l].first);
for(int i = l; i <= r; i++) {
toLeft[i] = (i == l ? 0ll : toLeft[i-1]) + groups[i].first - groups[l].first;
ikiL[i] = i - l + 1;
kaimL[i] = dst;
}
}
void calcToRight(int l, int r, int ind) {
int dst = -1;
if(ind != (int) interv.size() - 1) dst = abs(groups[interv[ind+1].first].first - groups[r].first);
//cout << "calcToRight, ind = " << ind << ", dst = " << interv[ind+1].first << " - " << r << endl;
for(int i = r; i >= l; i--) {
toRight[i] = (i == r ? 0ll : toRight[i+1]) + groups[r].first - groups[i].first;
ikiR[i] = r - i + 1;
kaimR[i] = dst;
}
}
long long min_total_length(vector<int> r, vector<int> b) {
n = r.size() + b.size();
for(auto &x : r) {
groups.push_back({x, 0});
}
for(auto &x : b) {
groups.push_back({x, 1});
}
groupInd.resize(n);
toLeft.resize(n);
toRight.resize(n);
ikiL.resize(n);
ikiR.resize(n);
kaimL.resize(n);
kaimR.resize(n);
sort(groups.begin(), groups.end());
for(int i = 0; i < n; i++) {
for(int j = i; j <= n; j++) {
if(j == n || groups[j].second != groups[i].second) {
int l = i;
int r = j-1;
interv.push_back({l, r});
for(int h = l; h <= r; h++) {
groupInd[h] = (int) interv.size()-1;
}
i = j-1;
break;
}
}
}
for(int i = 0; i < interv.size(); i++) {
int l = interv[i].first;
int r = interv[i].second;
calcToLeft(l, r, i);
calcToRight(l, r, i);
}
/*
cout << "intervalai: ";
for(auto &x : interv) {
cout << "(" << x.first << ", " << x.second << "), ";
}
cout << endl;*/
vector<long long> dp(n, inf);
// dp[-1] = 0;
for(int i = interv[1].first; i < n; i++) {
int myInterv = groupInd[i];
dp[i] = dp[interv[myInterv-1].second] + f(interv[myInterv-1].second, i);
for(int j = interv[myInterv-1].first; j <= interv[myInterv-1].second; j++) {
dp[i] = min(dp[i], (j == 0 ? 0ll : dp[j-1]) + f(j, i));
// cout << "gali buti (nuo " << j << ") " << (j == 0 ? 0ll : dp[j-1]) << " + f(" << j << ", " << i << ") = " << f(j, i) << endl;
}
// cout << "dp[" << i << "] = " << dp[i] << endl << endl;
}
return dp[n-1];
}
