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It is very easy to produce the various traversals of a binary tree, however this problem requires you to produce the tree from the traversals. Specifically, given the pre-order and in-order traversals of a binary tree (not necessarily a binary search tree), reconstruct, if possible, the original tree.
For instance, the following tree will produce the traversals shown
E / \ D F / \ B G / \ \ A C I / \ H K / J Preorder : EDBACFGIHKJ Inorder : ABCDEFGHIJK Postorder: ACBDHJKIGFE
Input will consist of representations of several trees, each on a single line, and terminated by a #. Each line will consist of two strings of up to 26 unique uppercase letters in the form
<pre-order> <space> <in-order>.
You can assume that the two strings will be permutations of each other.
Output will consist of the post-order traversal of the reconstructed tree if possible, otherwise the words 'Invalid tree'.
EDBACFGIHKJ ABCDEFGHIJK #