#include "railroad.h"
#include <bits/stdc++.h>
using namespace std;
#define int long long
const int inf = 1e16 + 42;
int n;
vector<int> in;
vector<int> out;
vector<vector<int> > step;
vector<vector<int> > dp;
int solve() {
step.assign(n, vector<int> (n, 0));
for(int i = 0; i < n; i++) {
for(int j = 0; j < n; j++) {
if(i != j) {
step[i][j] = max(out[i] - in[j], 0ll);
}
}
}
dp.assign((1 << n), vector<int> (n, inf));
for(int mask = 1; mask < (1 << n); mask++) {
for(int cur = 0; cur < n; cur++) {
if(!(mask & (1 << cur))) {
continue;
}
if(__builtin_popcount(mask) == 1) {
dp[mask][cur] = 0;
continue;
}
int prev_mask = mask - (1 << cur);
for(int nei = 0; nei < n; nei++) {
if(!(prev_mask & (1 << nei))) {
continue;
}
dp[mask][cur] = min(dp[mask][cur], dp[prev_mask][nei] + step[nei][cur]);
}
}
}
int ans = inf;
for(int i = 0; i < n; i++) {
ans = min(ans, dp[(1 << n) - 1][i]);
}
return ans;
}
int plan_roller_coaster(vector<signed> s, vector<signed> t) {
n = (int) s.size();
in.assign(n, 0);
out.assign(n, 0);
for(int i = 0; i < n; i++) {
in[i] = s[i];
out[i] = t[i];
}
return solve();
}
