<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:
Input:  8 2 3 2 7 0 0 0 0 6 6 3 8 9 3 6 1 3 1 7 2 3 7 9 2
Output: 2 3 2 7 0 0 0 0 6 6 3 8 9 3 6 1 3 1 7 2 3 7 9 2 8

Example 2:
Input:  2 1 7 6 4 5 6 3 7 2 3 2 0 0 0 0 3 3 6 3 3 7 6 7 7
Output: 1 7 6 4 5 6 3 7 2 3 2 0 0 0 0 3 3 6 3 3 7 6 7 7 2

Example 3:
Input:  3 7 3 4 2 5 7 8 8 6 2 0 0 0 0 0 0 0 9 7 8 8 6 5 7
Output: 7 3 4 2 5 7 8 8 6 2 0 0 0 0 0 0 0 9 7 8 8 6 5 7 3

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 8 5 6 1 2 3 2 3 5 0 0 0 0 0 8 9 3 9 7 4 9 1 4 9
Show your work in <think> </think> tags, and return the answer in <answer> </answer> tags with space between each number. For example <answer> 1 3 5 7 </answer>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user