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

Example 2:
Input:  3 4 4 5 9 5 4 2 2 6 9 9 6 9 7 5 3 7 4 3 2 9 2 9 4 3 2 4 9 7
Output: 9 5 4 2 2 6 9 9 6 9 7 5 3 7 4 3 2 9 2 9 4 3 2 4 9 7 3 4 4 5

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

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