Algorithms and Data Structures

Mirror the binary tree

Given a binary tree, you are asked to mirror it. “Reading” it from left to right should turn into “reading” it from right to left.
Mirroring the binary tree in the image won’t change anything, for instance. Do you know why 🤔?
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Input

The input contains space-separated integers representing the values in the nodes of the binary tree. The order of the values is given by traversing from the left to the right subtree every time. A value of 0 means that the node does not exist. It’s guaranteed that the input binary tree is valid.

Output

The program should print the pre-order traversal of the mirrored binary tree.

Examples

Input
Output
1 2 3 8 5 0 0 0 0 5 8 0 0 0 0
1 3 8 5 2 5 8
1 2 3 4 5 0 0 7 8 0 0 0 0 0 6 0 0
1 3 6 2 5 8 7 4

Explanation

Example 1:
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Example 2:
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Constraints

Time limit: 2 seconds

Memory limit: 512 MB

Output limit: 1 MB

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