10
-405 -230 252 -393 -390 -259 97 163 81 -129
 3
10000 -10000 10000
 1
-10000
 20
-16 -23 29 44 -40 -50 -41 34 -38 30 -12 28 -44 -49 15 50 -28 38 -2 0

702.333333333333712
 10000.000000000016371
 0.000000000000000
 113.875000000000043

#include <bits/stdc++.h>
using namespace std;
const int MAXN = 2e5 + 5;
double a[MAXN], b[MAXN];
int n;
void input();
double f(double);
void solve();
int main() {
  ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
  input();
  solve();
  return 0;
}
void input() {
  cin >> n;
  for (int i = 0; i < n; i++) cin >> a[i];
}
double f(double x) {
  double res, mn, mx;
  res = abs(a[0] - x);
  b[0] = mn = mx = a[0] - x;
  mx = max(0.0, mx);
  mn = min(0.0, mn);
  for (int i = 1; i < n; i++) {
    b[i] = b[i - 1] + a[i] - x;
    res = max(res, max(abs(b[i] - mn), abs(mx - b[i])));
    mn = min(mn, b[i]);
    mx = max(mx, b[i]);
  }
  return res;
}
void solve() {
  double l = -1e4 - 1, r = 1e4 + 1, mid = (l + r) / 2, eps = 1e-12;
  for (int i = 0; i < 100; i++) {
    (f(mid) < f(mid + eps)) ? r = mid : l = mid;
    mid = (l + r) / 2;
  }
  cout.precision(15);
  cout << fixed << f(l);
}
