Eva lists the positive integers, but skips all numbers containing a digit divisible by \( 3 \). For example, the first ten numbers she lists are \( 1, 2, 4, 5, 7, 8, 11, 12, 14, 15 \). What is the \( 100^{\text{th}} \) number in her list?

This problem is shared by Muhammad A.

**Details and assumptions**

The number \(13\) is not included in the list, since it contains the digit 3, which is divisible by 3.

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