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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.
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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.
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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.
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related articles on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Finally, the last symbol is read. The two trees are merged and a pointer to the final tree remains on the stack.
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Now, a '*' is read. The last two tree pointers are popped and a new tree is formed with a '*' as the root.
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This article was the subject of an educational assignment at
College Of Engineering Pune supported by
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Find pictures for the biographies of computer scientists (see
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Continuing, a '+' is read, and it merges the last two trees.
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Steps to
Construct an Expression tree a b + c d e + * *
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during the 2011 Q3 term. Further details are available
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