What algorithms should a programmer know?

Question

Algorithms

Studied and understood, almost all, the most famous and effective SEARCH and SORT algorithms. I taught because I knew that this was a necessary base and a push up for the encoder, but now I realize that there are many other alg-we, and since there is no point in teaching everything, the question has matured: what algorithms and from what classes of algorithms should I continue to study?
(I have time and desire, but I don't know in which direction to move)
-Thanks in advance for your answer.

Answer 1

It depends on the tasks to be solved. What problems you solve, such algorithms and study.

Answer 2

It would be nice to know what commonly used algorithms exist, but there is not much point in learning implementation details from memory.
Choosing a path, packing a backpack, cutting - how do we know which of these you need?
In any case, you are still quite far from improving existing algorithms.
In the meantime, use already invented ones - pick up a convenient reference book for yourself, or at least read them on the wiki.