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When do i say that a binary search tree is unique?!

 
Nadine Ernest
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Hi,
given the following:

90,50,20,5,25,75,66,80,150,95,92,111,175,166,200.

i constructed the binary tree and the traversal was preorder traversal : root, left, right


and then Is the tree unique?!

yes , the tree is unique,

i dont understand why?!
 
Piet Verdriet
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Nadine Ernest wrote:Hi,
given the following:

90,50,20,5,25,75,66,80,150,95,92,111,175,166,200.

i constructed the binary tree and the traversal was preorder traversal : root, left, right


and then Is the tree unique?!

yes , the tree is unique,

i dont understand why?!


Because it's a binary search tree. With a regular binary tree, the order of the elements doesn't matter, so the pre-order traversal of [3,2,4] could be:



But with a binary search tree, you start with 3, and the insert 2 to the left (because it's less than 3) and insert 4 into the right (because it's more than 3), resulting in:

 
Campbell Ritchie
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Please explain what you mean by the tree being unique.
 
Nadine Ernest
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Hi campbell ritchie, i actually asked the question to a friend of mine!

she told me that the tree is unique meaning that with the preorder and inorder traversal the tree has JUST ONE SHAPE!!

not many!

thanks guys for your help!!

so actually yeah when you draw this tree it is unique!!
 
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