import uuid
import math
%matplotlib inline

list10 = [str(uuid.uuid4()) for i in xrange(10)]
list10

list100 = [str(uuid.uuid4()) for i in xrange(100)]
list1000 = [str(uuid.uuid4()) for i in xrange(1000)]

h10 = [hash(x) / pow(2.0,32.0) + 0.5 for x in list10]

m10 = min(h10)
m10

pow(10,-math.log10(m10))

h100 = [hash(x) / pow(2.0,32.0) + 0.5 for x in list100]

m100 = min(h100)
m100

pow(10,-math.log10(m100))

h1000 = [hash(x) / pow(2.0,32.0) + 0.5 for x in list1000]

m1000 = min(h1000)
m1000

pow(10,-math.log10(m1000))

scatter(h10 + h100 + h1000, [3]*10 + [2]*100 + [1]*1000)

fig, ax = plt.subplots()
fig.set_size_inches(12,4)
ax.set_xlim([0, 0.1])
ax.set_ylim([0, 4])
ax.scatter(h10 + h100 + h1000, [3]*10 + [2]*100 + [1]*1000)

betterm1000=mean([min(h1000[x:x+100]) for x in xrange(10)])

10*pow(10,-math.log10(betterm1000))