59 lines
950 B
Python
59 lines
950 B
Python
maxx = 7
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def make_iter(x, a, l, lis):
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for i in xrange(a % 10, 10):
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if l == x - 1:
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lis.append(a * 10 + i)
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else:
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make_iter(x, a * 10 + i, l + 1, lis)
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def make(x):
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if x == 1:
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return [1,2,3,4,5,6,7,8,9]
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out = []
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for i in xrange(1, 10):
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make_iter(x - 1, i, 0, out)
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return out
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#print make(5)
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def calc(x):
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while 1:
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a = 0
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while x != 0:
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a += (x % 10) ** 2
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x /= 10
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if a == 1 or a == 89:
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return a
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else:
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x = a
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#print calc(44)
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def fac(x):
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out = 1
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for i in xrange(2, x + 1):
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out *= i
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return out
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def alanum(x):
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x = str(x)
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out = 1
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for i in xrange(maxx, maxx - len(x), -1):
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out *= i
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for i in set('.'.join(x).split('.')):
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tmp = x.count(i)
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if tmp > 1:
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out /= fac(tmp)
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return out
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#print alanum(113)
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count = 0
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for length in xrange(1, maxx + 1):
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tmp = make(length)
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for xx in tmp:
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if calc(xx) == 89:
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count += alanum(xx)
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print count
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