<|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:  5 4 9 1 7 9 2 8 2 0 1 7 5 7 1 7 7 5 7 6 7 3 7 3
Output: 3 7 3 5 4 9 1 7 9 2 8 2 0 1 7 5 7 1 7 7 5 7 6 7

Example 2:
Input:  8 8 8 9 5 3 2 4 8 1 6 1 6 5 7 6 9 0 0 0 0 0 0 0
Output: 0 0 0 8 8 8 9 5 3 2 4 8 1 6 1 6 5 7 6 9 0 0 0 0

Example 3:
Input:  8 6 9 9 6 5 4 4 0 0 0 0 1 8 5 9 2 5 5 3 5 7 6 5
Output: 7 6 5 8 6 9 9 6 5 4 4 0 0 0 0 1 8 5 9 2 5 5 3 5

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