data structures - Algorithm for merging two max heaps? -


Is there an efficient algorithm for dissolving two max-masses that are stored as arrays?

It depends on the type of stack.

If this is a standard heap where every node is above two and the children who are filled on two separate rows, then you are not better than the O (n) for the merge Can.

Just put two arrows together and make a new pile of them that takes O (n).

For better merging performance, you can merge another Hep version using Fibonacci-OP (O) which amortized O (1).

Update: Note that first put all the elements of the stack in one heap after the other, or vice versa, because an insertion takes o (log). According to your comment, you do not know how the heap has been improved in the beginning (again for a standard binary stack)

  1. Create an array and insert it in the elements of both the heaps In some arbitrary order
  2. Now start at the lowest level. At the lowest level are the smallest size of size 1, so this level is completed
  3. Move up one level when The violation of the stack position of any of the "sub-stacks" Expertise, then swap the root of the "sub-stack" with her older child. Later, level 2 is done
  4. Go to Level 3 When the position of the stack is in violation, then proceed before
  5. ...
  6. When you reach the top, you have created a new heap in O (N) .

I am not leaving a proof here, but you can explain it because you have stacked a lot on the lower level where you do not have much material to restore the heap The condition is swapped You have run on a very small "sub-stack" which is much better than you if you insert each element into one of the heaps => Then you will work on the entire heap at all times, Takes .

Update 2: allows to merge into a bin (he) (hex (n)) and your o (log (n) ^ 2) corresponds to the requirement.


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