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

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

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

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