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

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

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

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