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

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

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