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;
vector<long long> A;
void calc(double x, double& pos, double& neg) {
  double max_ending_here = (A[0] - x);
  double max_from_start = (A[0] - x);
  for (int i = 1; i < A.size(); i++) {
    if (max_ending_here + (A[i] - x) < (A[i] - x)) {
      max_ending_here = (A[i] - x);
    } else {
      max_ending_here += (A[i] - x);
    }
    max_from_start = max(max_from_start, max_ending_here);
  }
  pos = max_from_start;
  max_ending_here = -(A[0] - x);
  max_from_start = -(A[0] - x);
  for (int i = 1; i < A.size(); i++) {
    if (max_ending_here + (-(A[i] - x)) < (-(A[i] - x))) {
      max_ending_here = (-(A[i] - x));
    } else {
      max_ending_here += (-(A[i] - x));
    }
    max_from_start = max(max_from_start, max_ending_here);
  }
  neg = max_from_start;
}
int main() {
  int n;
  cin >> n;
  for (int i = 0; i < n; i++) {
    int t;
    scanf("%d", &t);
    A.push_back(t);
  }
  double lo = -11111, hi = 11111;
  for (int i = 0; i < 100; i++) {
    double a = (lo * 2 + hi) / 3;
    double b = (lo + hi * 2) / 3;
    double t, s;
    calc(a, t, s);
    double aa = max(t, s);
    calc(b, t, s);
    double bb = max(t, s);
    if (aa < bb) {
      hi = b;
    } else {
      lo = a;
    }
  }
  double ans1, ans2;
  calc((lo + hi) / 2, ans1, ans2);
  printf("%.8lf\n", max(ans1, ans2));
}
