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

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

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

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