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from __future__ import division
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from random import random
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from math import fsum
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n, p, t = 100, 0.5, 500
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def newv(n, p):
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return [int(random() < p) for i in range(n)]
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def runs(v):
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return sum((a & ~b) for a, b in zip(v, v[1:] + [0]))
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def mean_run_density(n, p):
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return runs(newv(n, p)) / n
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for p10 in range(1, 10, 2):
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p = p10 / 10
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limit = p * (1 - p)
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print('')
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for n2 in range(10, 16, 2):
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n = 2**n2
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sim = fsum(mean_run_density(n, p) for i in range(t)) / t
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print('t=%3i p=%4.2f n=%5i p(1-p)=%5.3f sim=%5.3f delta=%3.1f%%'
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% (t, p, n, limit, sim, abs(sim - limit) / limit * 100 if limit else sim * 100))
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