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Given a binary tree, you need to compute the length of the diameter of the tree. The diameter of a binary tree is the length of the <b>longest</b> path between any two nodes in a tree. This path may or may not pass through the root.
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<b>Example:</b><br />
Given a binary tree <br />
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1
/ \
2 3
/ \
4 5
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Return <b>3</b>, which is the length of the path [4,2,1,3] or [5,2,1,3].
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<p><b>Note:</b>
The length of path between two nodes is represented by the number of edges between them.