#include "wiring.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bit(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
template<class A, class B> str ts(pair<A,B> p);
template<class A> str ts(complex<A> c) { return ts(mp(c.real(),c.imag())); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(char c) { str s = ""; s += c; return s; }
str ts(str s) { return s; }
str ts(const char* s) { return (str)s; }
str ts(vector<bool> v) {
bool fst = 1; str res = "{";
F0R(i,sz(v)) {
if (!fst) res += ", ";
fst = 0; res += ts(v[i]);
}
res += "}"; return res;
}
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class T> str ts(T v) {
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << to_string(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "[" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 42
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
int runnum = 0;
vi runs[100005];
long long min_total_length(vector<int> _r, vector<int> _b) {
vl r;
vl b;
vector<pair<ll, bool>> rb;
for(auto u: _r){
r.pb(ll(u));
rb.pb(mp(ll(u), 0));
}
for(auto u: _b){
b.pb(ll(u));
rb.pb(mp(ll(u), 1));
}
sort(all(rb));
vl cclose;
for(int i = 0; i < sz(rb); i++){
ll pos = rb[i].f;
bool typ = rb[i].s;
ll cpos;
ll dist = INF;
if(typ == 0){
auto it1 = lb(all(b), pos);
if(it1 != b.end()){
ckmin(dist, abs(pos-*it1));
}
if(it1 != b.begin()){
auto it2 = prev(it1);
ckmin(dist, abs(pos-*it2));
}
}
else{
auto it1 = lb(all(r), pos);
if(it1 != r.end()){
ckmin(dist, abs(pos-*it1));
}
if(it1 != r.begin()){
auto it2 = prev(it1);
ckmin(dist, abs(pos-*it2));
}
}
cclose.pb(dist);
}
for(int i = 0; i < sz(rb); i++){
if(i == 0 || (rb[i].s != rb[i-1].s)){
runnum++;
}
runs[runnum].pb(i);
}
vector<pair<int, ll>> to(sz(rb), mp(-1, INF));
for(int i = 2; i <= runnum; i++){
for(int j = 0; j < min(sz(runs[i]), sz(runs[i-1])); j++){
int ind = runs[i][j];
int cind = runs[i-1][sz(runs[i-1])-1-j];
ll pdist = 0;
if(j > 0) pdist+=to[ind-1].s;
//ps(ind, cind, pdist);
pdist+=rb[ind].f-rb[cind].f;
to[ind] = mp(cind, pdist);
}
}
/*ps("rb", rb);
for(int i = 1; i <= runnum; i++){
ps("run[" + to_string(i)+"]", runs[i]);
}
ps("to", to);*/
vl dp(sz(rb), INF);
for(int i = 0; i < sz(rb); i++){
if(i == 0){
ckmin(dp[i], cclose[i]);
}
else ckmin(dp[i], dp[i-1]+cclose[i]);
int cind = to[i].f;
ll val = to[i].s;
if(cind == -1) continue;
if(cind == 0){
ckmin(dp[i], val);
}
else ckmin(dp[i], dp[cind-1]+val);
}
return dp[sz(rb)-1];
}
/*int main(){
int n, m;
cin >> n >> m;
vi r, b;
for(int i = 0; i < n; i++){
int a;
cin >> a;
r.pb(a);
}
for(int i = 0; i < m; i++){
int a;
cin >> a;
b.pb(a);
}
ps(min_total_length(r, b));
}*/
