This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1 &x, T2 y) {
return y < x ? (x = y, true) : false;
}
template<typename T1, typename T2> bool chkmax(T1 &x, T2 y) {
return y > x ? (x = y, true) : false;
}
void debug_out() {
cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
cerr << ' ' << A;
debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
for (int i = 0; i < n; ++i) {
cerr << a[i] << ' ';
}
cerr << endl;
}
#ifdef DEBUG
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
#define debug(...) 1337
#define mdebug(a, n) 1337
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T> &v) {
for (auto& x : v) {
stream << x << ' ';
}
return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
return stream << p.first << ' ' << p.second;
}
const ll INF64 = 1e18;
const int INF32 = 1e9;
ll min_total_length(vector<int> A, vector<int> B) {
if (A.back() < B.back()) swap(A, B);
int n = A.size(), m = B.size();
vector<int> orb[n + 1];
for (int j = 0; j < m; ++j) {
int i = lower_bound(all(A), B[j]) - A.begin();
int minDist = i < n ? labs(B[j] - A[i]) : INF32;
if (i > 0) chkmin(minDist, labs(B[j] - A[i - 1]));
for (int l = i - 1; l <= min(i, n - 1); ++l) {
if (labs(B[j] - A[l]) == minDist) {
orb[l].push_back(B[j]);
}
}
}
vector<ll> dp[2];
for (int t = 0; t < 2; ++t) {
dp[t].assign(n + 1, INF64);
}
dp[0][0] = 0;
int last_x = -1;
for (int i = 0; i < n; ++i) {
ll sumD = 0;
for (int x : orb[i]) {
sumD += labs(x - A[i]);
}
if (orb[i].empty()) {
if (last_x != -1) {
dp[0][i + 1] = dp[0][i] + labs(last_x - A[i]);
}
} else {
dp[0][i + 1] = dp[0][i] + sumD;
chkmin(dp[0][i + 1], dp[1][i] + sumD - labs(orb[i][0] - A[i]));
}
if (orb[i + 1].empty()) {
dp[1][i + 1] = INF64;
} else {
int nx = orb[i + 1][0];
dp[1][i + 1] = dp[0][i] + sumD + labs(nx - A[i]);
if (!orb[i].empty()) {
chkmin(dp[1][i + 1], dp[1][i] + sumD + labs(nx - A[i]) - labs(orb[i][0] - A[i]));
}
}
//debug(i, dp[0][i + 1], dp[1][i + 1]);
if (!orb[i].empty()) last_x = orb[i].back();
}
return dp[0][n];
}
#ifdef DEBUG
int32_t main() {
#ifdef DEBUG
freopen("in", "r", stdin);
#endif
ios::sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<int> A(n), B(n);
for (int& x : A) {
cin >> x;
}
for (int& x : B) {
cin >> x;
}
cout << min_total_length(A, B) << '\n';
return 0;
}
#endif
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