What is the asymptotic complexity of multiple passes through a list?

If you have a list of n elements and you go through it multiple times in a row (for example, k times), then the overall asymptotic complexity will be O(k * n).

However, if k is a constant (a fixed number of passes), then the complexity simplifies to O(n), as constants are usually omitted in asymptotic notation.

Example: if you pass through a list of n elements twice, the complexity will be O(2n), which is equivalent to O(n).

Thus, multiple consecutive passes through the list do not change the order of growth of the complexity, provided the number of passes does not depend on the size of the data.