We say an integer n is naoish if n≥90 and the second-to-last digit of n (in decimal notation) is equal to 9. For example, 10798, 1999 and 90 are naoish, whereas 9900, 2009 and 9 are not. Nino expresses 2020 as a sum:

2020=n₁+n₂+...+n_k

where each of the n_j is naoish. What is the smallest positive number k for which Nino can do this?

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