#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs;
https://cubelover.tistory.com/8
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "wiring.h"
long long min_total_length(std::vector<int> a, std::vector<int> b) {
ll n = sz(a), m = sz(b);
sort(all(a)), sort(all(b));
vector<array<ll,3>> c;
rep(i,n){
ll x = a[i];
auto it = lower_bound(all(b),x);
ll bef = -inf2, aft = inf2;
if(it != b.end()) aft = *it;
if(it != b.begin()) bef = *prev(it);
ll mn_dis = min(abs(x-bef),abs(x-aft));
c.pb({x,mn_dis,1});
}
rep(i,m){
ll x = b[i];
auto it = lower_bound(all(a),x);
ll bef = -inf2, aft = inf2;
if(it != a.end()) aft = *it;
if(it != a.begin()) bef = *prev(it);
ll mn_dis = min(abs(x-bef),abs(x-aft));
c.pb({x,mn_dis,2});
}
sort(all(c));
ll siz = sz(c);
c.insert(c.begin(),{0,0});
vector<ll> p(siz+5), pref(siz+5);
rep1(i,siz){
p[i] = p[i-1], pref[i] = pref[i-1];
if(c[i][2] == 1) p[i]++, pref[i] += c[i][0];
else p[i]--, pref[i] -= c[i][0];
}
vector<ll> dp(siz+5,inf2);
vector<ll> prev_occ(2*siz+5,-1);
dp[0] = 0;
prev_occ[siz] = 0;
rep1(i,siz){
dp[i] = dp[i-1]+c[i][1];
if(prev_occ[p[i]+siz] != -1){
ll j = prev_occ[p[i]+siz];
ll diff = pref[i]-pref[j];
amin(dp[i],dp[j]+abs(diff));
}
prev_occ[p[i]+siz] = i;
}
return dp[siz];
}
