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 = int(input())
a = [int(i) for i in input().split()]
avg = sum(a)/n
for i in range(len(a)):
    a[i] -= avg
ans1 = 0
ans2 = 0
temp1 = 0
temp2 = 0
for i in a:
    temp1 = max(0, temp1+i)
    ans1 = max(ans1, temp1)
    temp2 = min(0, temp2+i)
    ans2 = min(ans2, temp2)
ans = max(ans1, abs(ans2))
print("%.15f"%(ans))