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#include "wiring.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int, int> ;
using pl = pair<ll, ll> ;
using pd = pair<db, db> ;
#define mp make_pair
#define f first
#define s second
#define tcT template < class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT > using V = vector<T> ;
tcT, size_t SZ > using AR = array<T, SZ> ;
using vi = V<int> ;
using vb = V<bool> ;
using vl = V<ll> ;
using vd = V<db> ;
using vs = V<str> ;
using vpi = V<pii> ;
using vpl = V<pl> ;
using vpd = V<pd> ;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk 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 rep(a) F0R(_, a)
#define each(a, x) for (auto &a: x)
const int MOD = 998244353;
const int MX = 2e5 + 5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db) - 1);
const int dx[4]
{
1, 0, -1, 0
}, dy[4]
{
0, 1, 0, -1
}; // for every grid problem!!
mt19937 rng((uint32_t) chrono::steady_clock::now().time_since_epoch().count());
template < class T > using pqg = priority_queue<T, vector < T>, greater < T>> ;
struct DSU
{
vi e;
void init(int N)
{
e = vi(N, -1);
}
int get(int x)
{
return e[x] < 0 ? x : e[x] = get(e[x]);
}
bool sameSet(int a, int b)
{
return get(a) == get(b);
}
int size(int x)
{
return -e[get(x)];
}
bool unite(int x, int y)
{
// union by size
x = get(x), y = get(y);
if (x == y) return 0;
if (e[x] > e[y]) swap(x, y);
e[x] += e[y];
e[y] = x;
return 1;
}
};
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void > struct is_iterable : false_type {};
tcT > struct is_iterable<T, void_t<decltype(begin(declval < T>())),
decltype(end(declval < T>()))
>
> : true_type {};
tcT > constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void > struct is_readable : false_type {};
tcT > struct is_readable<T,
typename std::enable_if_t<
is_same_v < decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT > constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void > struct is_printable : false_type {};
tcT > struct is_printable<T,
typename std::enable_if_t<
is_same_v < decltype(cout <<declval < T>()), ostream&>
>
> : true_type {};
tcT > constexpr bool is_printable_v = is_printable<T>::value;
}*/
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int, int> ;
using pl = pair<ll, ll> ;
using pd = pair<db, db> ;
#define mp make_pair
#define f first
#define s second
#define tcT template < class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT > using V = vector<T> ;
tcT, size_t SZ > using AR = array<T, SZ> ;
using vi = V<int> ;
using vb = V<bool> ;
using vl = V<ll> ;
using vd = V<db> ;
using vs = V<str> ;
using vpi = V<pii> ;
using vpl = V<pl> ;
using vpd = V<pd> ;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk 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 rep(a) F0R(_, a)
#define each(a, x) for (auto &a: x)
template < class T > using pqg = priority_queue<T, vector < T>, greater < T>> ;
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void > struct is_iterable : false_type {};
tcT > struct is_iterable<T, void_t<decltype(begin(declval < T>())),
decltype(end(declval < T>()))
>
> : true_type {};
tcT > constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void > struct is_readable : false_type {};
tcT > struct is_readable<T,
typename std::enable_if_t<
is_same_v < decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT > constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void > struct is_printable : false_type {};
tcT > struct is_printable<T,
typename std::enable_if_t<
is_same_v < decltype(cout <<declval < T>()), ostream&>
>
> : true_type {};
tcT > constexpr bool is_printable_v = is_printable<T>::value;
}*/
const int N = 3e5 + 5;
const long long inf = 1e15;
long long a[N], dp[N], sf[N], pr[N];
long long min_total_length(std::vector<int> r, std::vector<int> b)
{
int n = r.size() + b.size();
int x = r.size();
int y = b.size();
int prty = -1;
int curx = 0, cury = 0;
int curty;
vector<pii> seg;
// Divide the combined array into blocks
while (curx < x || cury < y)
{
//cout<<curx<<" "<<a[curx]<<" "<<cury<<" "<<b[cury]<<"\n";
if (curx >= x || (cury < y && b[cury] <= r[curx]))
{
a[curx + cury] = b[cury];
cury++;
curty = 0;
}
else
{
a[curx + cury] = r[curx];
curx++;
curty = 1;
}
if (curty != prty)
{
prty = curty;
seg.pb({ curx + cury - 1, curx + cury - 1 });
}
else seg.back().s++;
}
for (int i = 0; i <= n; i++) dp[i] = inf;
// Only consecutive blocks should be connected
//[1 1 1][0 0 ||| 0 0][1 1 1]
// Zeroes that are before "|||" are connected to the left part and ...
for (int i = 0; i < (int) seg.size(); i++)
{
int st = seg[i].f;
int nd = seg[i].s;
long long val = 0;
if (i)
{
for (int j = seg[i].f; j <= seg[i].s; j++)
{
int cnt = j - seg[i].f + 1;
val += a[j] - a[st];
// If size(seg[i].f --- j) >= size(prev, seg[i - 1].s);
int mx = max(st - 1 - cnt + 1, seg[i - 1].f);
dp[j] = min(dp[j], sf[mx] + cnt *(a[st] - a[st - 1]) + val);
// If size(seg[i].f --- j) < size(prev, seg[i - 1].s);
if (st - cnt >= seg[i - 1].f)
{
dp[j] = min(dp[j], pr[st - cnt] + val);
}
}
for (int j = seg[i].s; j >= seg[i].f - 1; j--)
{
if (j != -1)
dp[j] = min(dp[j], dp[j + 1]);
}
}
if (i == (int) seg.size() - 1) continue;
val = 0;
for (int j = seg[i].s; j >= seg[i].f; j--)
{
int cnt = seg[i].s - j + 1;
val += a[seg[i].s] - a[j];
sf[j] = val + dp[j - 1];
pr[j] = val + cnt *(a[seg[i + 1].f] - a[nd]) + dp[j - 1];
}
for (int j = seg[i].s - 1; j >= seg[i].f; j--) sf[j] = min(sf[j], sf[j + 1]);
for (int j = seg[i].f + 1; j <= seg[i].s; j++) pr[j] = min(pr[j], pr[j - 1]);
}
return dp[n - 1];
}
/*
int main() {
int n, m;
assert(2 == scanf("%d %d", &n, &m));
vector<int> r(n), b(m);
for(int i = 0; i < n; i++)
assert(1 == scanf("%d", &r[i]));
for(int i = 0; i < m; i++)
assert(1 == scanf("%d", &b[i]));
long long res = min_total_length(r, b);
printf("%lld\n", res);
return 0;
}*/
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