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

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

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

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