#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef long double LD;
const int N=3e5+5;
LL dp[N];
int x[N],y[N],a[N],n,q[N],tl,hd;
inline LL Y(int i){
	return dp[i]+1ll*y[i+1]*y[i+1]+1ll*x[i+1]*x[i+1];
}
inline LL X(int i){
	return x[i+1];
}
inline LD Slope(int i,int j){
	return (LD)(1.0)*(Y(i)-Y(j))/(X(i)-X(j));
}
int main(){
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cout.tie(nullptr);
	cin>>n;
	for(int i=1;i<=n;i++)
		cin>>a[i];
	for(int i=1;i<=n;i++)
		cin>>x[i];
	for(int i=1;i<=n;i++)
		cin>>y[i];
	for(int i=1;i<=n;i++){
		if(i!=1){
		//	cout<<Slope(q[hd],q[hd+1])<<"\n";
		}
		while(hd<tl && Slope(q[hd],q[hd+1])<=2*a[i])
			hd++;
		int j=q[hd];
		dp[i]=dp[j]+1ll*(a[i]-x[j+1])*(a[i]-x[j+1])+1ll*y[j+1]*y[j+1];
		//cout<<i<<"="<<dp[i]<<" frm "<<j+1<<"\n";
		bool fail=false;
		while(hd<=tl){
			if(X(q[tl])==X(i)){
				if(Y(q[tl])>=Y(i))
					tl--;
				else{
					fail=true;
					break;
				}
			}else if(hd<tl && Slope(q[tl-1],q[tl])>=Slope(q[tl],i))
				tl--;
			else
				break;
		}
		if(!fail)
			q[++tl]=i;
		
	}
	cout<<dp[n];
}