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

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

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

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