Not a fan of 3
Discrete Mathematics
Level
5
How many positive integers \( n \leq 1000 \) are there which satisfy the following condition:
We can rearrange the positive integers from 1 to \(n \) in a row, where the sum of the first \(k \) terms is not a multiple of 3, for every \( 1 \leq k < n \).
Note: To avoid ambiguity, the integer 1 satisfies the above condition.
by
Calvin Lin