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

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

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

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