7604번 - Reconstruction Trees 다국어

문제

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 

입력

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.

출력

Output will consist of the post-order traversal of the reconstructed tree if possible, otherwise the words 'Invalid tree'.

제한

힌트