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

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

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

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