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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
4 0 0 0 0 0 0 7 4 7 4 3 4 9 3 8 3 4 4 7 8 6 3 3 9 8
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