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

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

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

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