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

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

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

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