#include "wiring.h"
#include <iostream>
#include <algorithm>
using namespace std;
vector<long long> pre, suf;
vector<pair<long long, int>> all;
int n;
long long pre_gum(int l, int r) {
if (l > r)return 0;
if (l == 0) {
return pre[r] - (r - l + 1)*all[0].first;
}
return pre[r] - pre[l - 1] - all[l].first * (r - l + 1);
}
long long suf_gum(int l, int r) {
if (l > r)return 0;
return suf[l] - suf[r + 1] - (all[n - 1].first - all[r].first) * (r - l + 1);
}
long long sum(int l, int mid, int r) {
return suf_gum(l, mid) + pre_gum(mid + 1, r) + 1ll * max(mid - l + 1, r - mid)*(all[mid + 1].first - all[mid].first);
}
long long min_total_length(std::vector<int> r, std::vector<int> b) {
for (int to : r)all.push_back({ to,1 });
for (int to : b)all.push_back({ to,2 });
int n = all.size();
::n = n;
sort(all.begin(), all.end());
vector<int> left(n + 1, 0);
for (int i = 0; i < n; ++i) {
if (i == 0 || (all[i].second != all[i - 1].second)) {
left[i] = i;
}
else left[i] = left[i - 1];
}
pre.resize(n + 5, 0);
suf.resize(n + 5, 0);
for (int i = 0; i < n; ++i) {
pre[i] = (i == 0 ? 0 : pre[i - 1]) + all[i].first;
// cout << "pre[" << i << "] = " << pre[i] << endl;
}
for (int i = n - 1; i >= 0; i--) {
suf[i] = (i == n - 1 ? 0 : suf[i + 1]) + all[n - 1].first - all[i].first;
}
vector<long long> dp(n + 5, (long long)1e18);
for (int i = 0; i < n; ++i) {
if (left[i] == 0)continue;
long long mn = dp[i - 1];
int lf = left[i] - 1;
mn = dp[lf];
for (int j = lf; j >= left[lf]; --j) {
if (j == 0)mn = 0;
else mn = min(mn, dp[j - 1]);
dp[i] = min(dp[i], mn + sum(j, lf, i));
}
}
return dp[n - 1];
}
