Map sorted by value?

Are there any data structure that is similar to a map sorted by value? Like, a sorted data structure where I can update the value in logn

What do you mean by “update the value?” A map sorted by key allows updating the value associated with a key.

I want to update the value via the associated key. However, I also want the map sorted by value rather than key.

Well, you can store both

  • a map from keys to values (either sorted or unsorted)
  • a sorted set of values