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

Example 2:
Input:  8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 2 2 9
Output: 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 2 2 9 8

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

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