>>> from itertools import permutations
>>> def f1(p):
	i, p0 = 0, p[0]
	while p0:
		i  += 1
		p0 += 1
		p[:p0] = p[:p0][::-1]
		p0  = p[0]
	return i

>>> def fannkuch(n):
	return max(f1(list(p)) for p in permutations(range(n)))

>>> for n in range(1, 11): print(n,fannkuch(n))

1 0
2 1
3 2
4 4
5 7
6 10
7 16
8 22
9 30
10 38
>>>