<|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:  2 7 3 2 2 5 6 3 5 6 1 1 3 8 2 0 0 0 0 0 0 0 0 0 3
Output: 3 2 7 3 2 2 5 6 3 5 6 1 1 3 8 2 0 0 0 0 0 0 0 0 0

Example 2:
Input:  8 7 6 2 6 7 4 6 9 4 5 4 5 9 8 1 2 2 9 1 1 3 2 3 2
Output: 2 8 7 6 2 6 7 4 6 9 4 5 4 5 9 8 1 2 2 9 1 1 3 2 3

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 0 2 9 8 9 3 6 1 8 8 2 4 7 2 4 2 3 2 9 4 5 6 0
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