Let S be the set of natural numbers which can be written as a non-empty string...

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Let S be the set of natural numbers which can be written as anon-empty string of ones followed by a non-empty string of zeroes.For example, 10, 111100 and 11100000 are all in S, but 11 and1110011 are not in S. Prove that there exists a natural number n?S,such that 2018 | n.

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Consider the set where the last number in the set contains 2019 such There are 2019 numbers in the set Now we consider their    See Answer
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