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

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

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

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