#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename T, typename Compare=less< T > > vector< T > monotone_minima(int N, const function< T(int, int) > &f, T ident, const Compare &comp = Compare()) { vector< T > dp(N + 1, ident); function< void(int, int, int, int) > solve2 = [&](int l, int r, int a, int b) { if(l == r) return; int md = (l + r) / 2; T ma = ident; int mi = -1; for(int i = a; i < b; i++) { T cst = dp[i + 1] + f(i, md); if(comp(cst, ma)) { ma = cst; mi = i; } } dp[md] = min(dp[md], ma); solve2(l, md, a, mi + 1); solve2(md + 1, r, mi, b); }; function< void(int, int) > solve = [&](int l, int r) { if(l + 1 == r) { T cst = f(l, l) + dp[r]; if(comp(cst, dp[l])) dp[l] = cst; } else { int md = (l + r) / 2; solve(md, r); solve2(l, md, md, r); solve(l, md); } }; dp.back() = 0; solve(0, N); return dp; } int main() { int n; cin >> n; vector< int > a(n), x(n), y(n); for(int i = 0; i < n; i++) cin >> a[i]; for(int i = 0; i < n; i++) cin >> x[i]; for(int i = 0; i < n; i++) cin >> y[i]; function< int64_t(int, int) > dist = [&](int i, int j) { int s = abs(a[i] - x[j]); int t = abs(y[j]); return 1LL * s * s * s + 1LL * t * t * t; }; constexpr int64_t ident = 1LL << 60; cout << monotone_minima(n, dist, ident)[0] << endl; }