Why would you use an AVL tree over an array structure for determining if a value...
Why would you use an AVL tree over an array structure for determining if a value was seen before? Is there ever a case where the array would be a better choice?
Homework Answers
Why would you use an AVL tree over an array structure for
determining if a value was seen before?
->AVL Tree searches a given element in O(logn) time
because it is a balanced binary search tree . So It takes logn time
to determine if a value was seen before where as array will take
O(n) time to determine that . Hence AVL is better than
array
Is there ever a case where the array would be a better
choice?
->Yes, when the data is sorted , Determining duplicate
in array will take logn time , where as AVL will also take logn
time but we will prefer array because of its simpler structure and
memory requirements. For AVL tree we need to store two extra
references (left and right) along with data. Hence when the data is
sorted we would prefer array
Thanks, PLEASE COMMENT if there is any concern.
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