This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define ll long long
#define F first
#define S second
#define ull unsigned long long
#define db double
#define ldb long double
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define yes cout << "YES\n"
#define no cout << "NO\n"
#define ordered_set tree < ll, null_type, less < ll > , rb_tree_tag, tree_order_statistics_node_update >
#define all(x) x.begin(), x.end()
const int mod = 1e9 + 7;
const int N = 500001;
using namespace std;
using namespace __gnu_pbds;
ll n, m, a, b, c, p[N], f[N], dp[N], pr[N];
ll binpow(ll a, ll b) {
a %= mod;
if (b == 0) {
return 1;
}
else if (b % 2 == 1) {
return binpow(a, b - 1) % mod * a % mod;
}
else {
ll t = binpow(a, b / 2) % mod;
return t * t % mod;
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n;
for (int i = 1; i <= n; i++){
cin >> p[i];
}
for (int i = 1; i <= n; i++){
cin >> f[i];
pr[i] = f[i] + pr[i - 1];
}
for (int i = 2; i <= n; i++){
dp[i] = 1e18;
for (int y = i - 1; y >= 1; y--){
dp[i] = min (dp[y] + pr[i - 1] - pr[y] + abs (p[i] - p[y]) * abs (p[i] - p[y]), dp[i]);
}
// cout << dp[i] << ' ';
}
cout << dp[n];
}
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