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45 lines
898 B
Python
45 lines
898 B
Python
# -.- coding: latin-1 -.-
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"""
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Champernowne's constant
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Problem 40
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An irrational decimal fraction is created by concatenating the positive
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integers:
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0.123456789101112131415161718192021...
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It can be seen that the 12th digit of the fractional part is 1.
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If dn represents the nth digit of the fractional part, find the value of the
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following expression.
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d1 × d10 × d100 × d1000 × d10000 × d100000 × d1000000
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"""
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def solution():
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"""Returns
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>>> solution()
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210
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"""
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constant = []
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i = 1
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while len(constant) < 1e6:
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constant.append(str(i))
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i += 1
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constant = "".join(constant)
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return (
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int(constant[0])
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* int(constant[9])
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* int(constant[99])
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* int(constant[999])
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* int(constant[9999])
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* int(constant[99999])
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* int(constant[999999])
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)
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if __name__ == "__main__":
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print(solution())
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