#include <bits/stdc++.h>
#define FOR(v, a, b) for(int v = (a); v < (b); ++v)
#define FORE(v, a, b) for(int v = (a); v <= (b); ++v)
#define REP(v, n) FOR(v, 0, n)
#define REPE(v, n) FORE(v, 0, n)
#define REV(v, a, b) for(int v = (a); v >= (b); --v)
#define ALL(x) (x).begin(), (x).end()
#define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it)
#define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it)
#define EXIST(c,x) ((c).find(x) != (c).end())
#define LLI long long int
#define fst first
#define snd second
#ifndef M_PI
#define M_PI 3.14159265358979323846
#endif
#ifndef M_E
#define M_E 2.71828182845904523536
#endif

#ifdef DEBUG
#include <misc/C++/Debug.cpp>
#else
#define dump(x)
#endif

#define pln(x) cout << (x) << endl
#define gcd __gcd

using namespace std;
template <class T> constexpr T lcm(T m, T n){return m/gcd(m,n)*n;}

template <typename T> using V = vector<T>;
template <typename T, typename U> using P = pair<T,U>;
template <typename I> void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost<<d; ost<<*i;}ost<<endl;}
template <typename T> istream& operator>>(istream &is, vector<T> &v){for(auto &a : v) is >> a; return is;}
template <typename T, typename U> istream& operator>>(istream &is, pair<T,U> &p){is >> p.first >> p.second; return is;}

template <typename T, typename U> T& chmin(T &a, const U &b){return a = (a<=b?a:b);}
template <typename T, typename U> T& chmax(T &a, const U &b){return a = (a>=b?a:b);}
template <typename T, size_t N, typename U> void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);}

template <typename T> class ConvexHullTrick{
public:
  deque<pair<T,T>> lines;

  bool is_needless(pair<T,T> a, pair<T,T> b, pair<T,T> c){
    return (a.snd-b.snd)*(a.fst-c.fst) >= (a.snd-c.snd)*(a.fst-b.fst);
  }
  
  void add(T a, T b){
    if(!lines.empty()){
      auto l = lines.back();
      if(l.fst == a){
	if(l.snd < b) return;
	else lines.pop_back();
      }
    }
    while(lines.size()>=2 && is_needless(make_pair(a,b), lines.back(), *(lines.end()-2))){
      lines.pop_back();
    }
    lines.push_back(make_pair(a,b));
  }

  T apply(pair<T,T> f, T x){
    return f.fst*x + f.snd;
  }

  T query(T x){
    while(lines.size()>=2 && apply(lines[0],x)>apply(lines[1],x)){
      lines.pop_front();
    }
    return apply(lines[0],x);
  }
};

int main(){
  cin.tie(0);
  ios::sync_with_stdio(false);

  int n;
  while(cin >> n){
    vector<LLI> a(n), x(n), y(n); cin >> a >> x >> y;

    ConvexHullTrick<LLI> cht;

    vector<LLI> dp(n);
    
    dp[0] = y[0]*y[0] + (x[0]-a[0])*(x[0]-a[0]);
    cht.add(-2*x[1], dp[0]+y[1]*y[1]+x[1]*x[1]);

    FOR(i,1,n){
      dp[i] = y[0]*y[0] + (a[i]-x[0])*(a[i]-x[0]);

      chmin(dp[i], cht.query(a[i]) + a[i]*a[i]);

      if(i<n-1) cht.add(-2*x[i+1], dp[i]+y[i+1]*y[i+1]+x[i+1]*x[i+1]);
    }
    cout << dp[n-1] << endl;
  }
  
  return 0;
}