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

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

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

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