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

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

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

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