<|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 2 9 1 0 6 0 5 5 0 5 1 0 5 0 0 0 0 5 1 0 0 0 0 0 9
Output: 2 9 1 6 5 5 5 1 5 5 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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