Talk:Binary expression tree

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Example[edit]

The input is: a b + c d e + * *

Expression Tree


Since the first two symbols are operands, one-node trees are created and pointers are pushed to them onto a stack. For convenience the stack will grow from left to right.


Stack growing from Left to Right


The next symbol is a '+'. It pops the two pointers to the trees, a new tree is formed, and a pointer to it is pushed onto to the stack.

Formation of a New Tree


Next, c, d, and e are read. A one-node tree is created for each and a pointer to the corresponding tree is pushed onto the stack.

Creating One-Node Tree


Continuing, a '+' is read, and it merges the last two trees.

Merging Two Trees

Now, a '*' is read. The last two tree pointers are popped and a new tree is formed with a '*' as the root.

Forming a New Tree with a Root


Finally, the last symbol is read. The two trees are merged and a pointer to the final tree remains on the stack.

Steps to Construct an Expression tree a b + c d e + * *

[1] PratikNadagouda (talk) 18:10, 14 September 2011 (UTC)


Saurabh29 (talk) 18:28, 14 September 2011 (UTC)
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