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

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

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

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