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Write an algorithm to solve the following problem and specify its runtime complexity using the most relevant terms: Given a nonnegative integer, what is the

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Write an algorithm to solve the following problem and specify its runtime complexity using the most relevant terms: Given a nonnegative integer, what is the smallest value, k, such that n, 2n, 3n, ..., ken contains all 10 decimal numbers (0 through 9) at least once? For example, given an input of "1", our sequence would be: 1, 2(1), 3(1), 4(1), 5(1), 6(1), 7(1), 8(1), 9(1), 10(1) and thus k would be 10. Other examples: Write an algorithm to solve the following problem and specify its runtime complexity using the most relevant terms: Given a nonnegative integer, what is the smallest value, k, such that n, 2n, 3n, ..., ken contains all 10 decimal numbers (0 through 9) at least once? For example, given an input of "1", our sequence would be: 1, 2(1), 3(1), 4(1), 5(1), 6(1), 7(1), 8(1), 9(1), 10(1) and thus k would be 10. Other examples

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