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

n=input()
a=map(int,raw_input().split())
l,r=-11111.,11111.
for i in xrange(44):
  w=x=p=0
  y=-11111
  z=11111
  mid=(l+r)/2
  for t in a:
    p+=t-mid
    y=max(y,p-w)
    z=min(z,p-x)
    w=min(p,w)
    x=max(x,w)
  if y+z<0:
    r=mid
  else:
    l=mid
print max(abs(y),abs(z))
  