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;
namespace integer_search {
template <typename Datatype, typename Function>
Datatype first_true(Datatype l, Datatype r, const Datatype not_found,
                    const Function& f) {
  Datatype ans = not_found;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (f(m)) {
      ans = m;
      r = m - 1;
    } else {
      l = m + 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype first_false(Datatype l, Datatype r, const Datatype not_found,
                     const Function& f) {
  Datatype ans = not_found;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (!f(m)) {
      ans = m;
      r = m - 1;
    } else {
      l = m + 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype last_true(Datatype l, Datatype r, const Datatype not_found,
                   const Function& f) {
  Datatype ans = not_found;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (f(m)) {
      ans = m;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype last_false(Datatype l, Datatype r, const Datatype not_found,
                    const Function& f) {
  Datatype ans = not_found;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (!f(m)) {
      ans = m;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype argmax(Datatype l, Datatype r, const Function& f) {
  Datatype ans = l;
  l += 1;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (f(m) > f(m - 1)) {
      ans = m;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype argmin(Datatype l, Datatype r, const Function& f) {
  Datatype ans = l;
  l += 1;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    if (f(m) < f(m - 1)) {
      ans = m;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
auto maximum(Datatype l, Datatype r, const Function& f) -> decltype(f(l)) {
  auto ans = f(l);
  l += 1;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    const auto fm = f(m);
    const auto fmm1 = f(m - 1);
    if (fm > fmm1) {
      ans = fm;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
auto minimum(Datatype l, Datatype r, const Function& f) -> decltype(f(l)) {
  auto ans = f(l);
  l += 1;
  while (l <= r) {
    const Datatype m = l + (r - l) / 2;
    const auto fm = f(m);
    const auto fmm1 = f(m - 1);
    if (fm < fmm1) {
      ans = fm;
      l = m + 1;
    } else {
      r = m - 1;
    }
  }
  return ans;
}
}  // namespace integer_search
namespace floating_search {
template <typename Datatype, typename Function>
Datatype first_true(Datatype l, Datatype r, const Datatype not_found,
                    const int iterations, const Function& f) {
  Datatype ans = not_found;
  for (int iteration = 0; iteration < iterations; ++iteration) {
    const Datatype m = l + (r - l) / 2;
    if (f(m)) {
      ans = m;
      r = m;
    } else {
      l = m;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype first_false(Datatype l, Datatype r, const Datatype not_found,
                     const int iterations, const Function& f) {
  Datatype ans = not_found;
  for (int iteration = 0; iteration < iterations; ++iteration) {
    const Datatype m = l + (r - l) / 2;
    if (!f(m)) {
      ans = m;
      r = m;
    } else {
      l = m;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype last_true(Datatype l, Datatype r, const Datatype not_found,
                   const int iterations, const Function& f) {
  Datatype ans = not_found;
  for (int iteration = 0; iteration < iterations; ++iteration) {
    const Datatype m = l + (r - l) / 2;
    if (f(m)) {
      ans = m;
      l = m;
    } else {
      r = m;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype last_false(Datatype l, Datatype r, const Datatype not_found,
                    const int iterations, const Function& f) {
  Datatype ans = not_found;
  for (int iteration = 0; iteration < iterations; ++iteration) {
    const Datatype m = l + (r - l) / 2;
    if (!f(m)) {
      ans = m;
      l = m;
    } else {
      r = m;
    }
  }
  return ans;
}
template <typename Datatype, typename Function>
Datatype argmax(Datatype l, Datatype r, const int iterations,
                const Function& f) {
  const Datatype golden_ratio = (1 + std::sqrt((Datatype)5)) / 2;
  Datatype m1 = r - (r - l) / golden_ratio;
  Datatype m2 = l + (r - l) / golden_ratio;
  auto fm1 = f(m1);
  auto fm2 = f(m2);
  for (int iteration = 0; iteration < iterations; ++iteration) {
    if (fm1 > fm2) {
      r = m2;
      m2 = m1;
      fm2 = fm1;
      m1 = r - (r - l) / golden_ratio;
      fm1 = f(m1);
    } else {
      l = m1;
      m1 = m2;
      fm1 = fm2;
      m2 = l + (r - l) / golden_ratio;
      fm2 = f(m2);
    }
  }
  return (l + r) / 2;
}
}  // namespace floating_search
int32_t main() {
  int n;
  cin >> n;
  int v[n];
  for (int i = 0; i < n; ++i) cin >> v[i];
  auto f = [&](const double x) {
    double sum1 = 0, sum2 = 0;
    double best = 0;
    for (int i = 0; i < n; ++i) {
      double val = v[i] - x;
      sum1 += val;
      if (sum1 < 0) sum1 = 0;
      sum2 -= val;
      if (sum2 < 0) sum2 = 0;
      best = max(best, sum1);
      best = max(best, sum2);
    }
    return -best;
  };
  double arg = floating_search::argmax(-1e4, 1e4, 500, f);
  double ans = f(arg);
  cout << fixed << setprecision(12) << -ans << endl;
}
