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

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

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

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