AVL Tree Rotation's -


just quick question avl trees. if had tree:

    27    /  \   9    50  / \ 2   15       \        21 

why balance answer?:

    15    /  \   9    27  /    /  \ 2    21   50 

instead of (or both valid?):

    21    /  \   15   27  /  \    \ 2    9    50 

according retracing algorithm avl tree balancing done in 2 steps:

i. left rotation done left sub-tree:

  |              |   9              15  / \            /  \ 2   15   =>    9    21      \        /       21     2 

ii. right rotation done whole tree:

      27           15      /  \         /  \     15   50 =>   9    27    /  \         /    /  \   9    21      2    21   50  / 2 

the second answer incorrect didn't preserve order of elements.