#include <bits/stdc++.h>
using namespace std;
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename T, typename V>
void __print(const pair<T, V> &x) {
  cerr << '{';
  __print(x.first);
  cerr << ',';
  __print(x.second);
  cerr << '}';
}
template <typename T>
void __print(const T &x) {
  int f = 0;
  cerr << '{';
  for (auto &i : x) cerr << (f++ ? "," : ""), __print(i);
  cerr << "}";
}
void _print() { cerr << "]\n"; }
template <typename T, typename... V>
void _print(T t, V... v) {
  __print(t);
  if (sizeof...(v)) cerr << ", ";
  _print(v...);
}
const int M = 6e4 + 3;
const long double INF = 4e18;
long long x[M], v[M];
pair<long long, long long> p[M];
long double L[M], R[M];
int n;
bool check(long double t) {
  ;
  for (int i = 1; i <= n; i++) {
    R[i] = 1.0 * x[i] + 1.0 * v[i] * t;
    L[i] = 1.0 * x[i] - 1.0 * v[i] * t;
  }
  for (int i = 2; i <= n; i++) R[i] = min(R[i], R[i - 1]);
  for (int i = n - 1; i >= 1; i--) L[i] = max(L[i], L[i + 1]);
  for (int i = 1; i <= n; i++) {
    long double cur = 1.0 * x[i] + 1.0 * v[i] * t;
    int pos = upper_bound(x + 1, x + n + 1, (long long)cur) - x;
    if (L[pos] <= cur and R[pos - 1] >= cur) return true;
  }
  return false;
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  cin >> n;
  for (int i = 1; i <= n; i++) cin >> x[i];
  for (int i = 1; i <= n; i++) {
    cin >> v[i];
    p[i] = {x[i], v[i]};
  }
  sort(p + 1, p + n + 1);
  for (int i = 1; i <= n; i++) x[i] = p[i].first, v[i] = p[i].second;
  long double lo = 0.0, hi = 1e9;
  for (int i = 0; i < 100; i++) {
    long double mid = (lo + hi) / 2.0;
    if (check(mid))
      hi = mid;
    else
      lo = mid;
  }
  cout << fixed << setprecision(7) << lo;
}
