26 lines
544 B
Python
26 lines
544 B
Python
#!/usr/bin/env python3
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from math import sqrt, log10
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def main():
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k = 1
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m = 0
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last = 1
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gr = (1 + sqrt(5)) / 2
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first = gr*(1/sqrt(5))
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while cond(str(int(first))[:9], str(last)):
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last, m = (last+m)%10**9, last
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first = gr*first
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if first >= 10**9:
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first /= 10
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k += 1
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return k, int(log10(gr)*k - log10(1/sqrt(5)) + 1/2.0)
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def cond(first, last):
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a = len(set(last)) != 9
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b = len(set(first)) != 9
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c = '0' in first+last
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return a or b or c
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print(main()[0])
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