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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 8 3 7 3 8 6 4 2 6 1 9 1 2 7 1 5 8 4 6 1 8 9 0 0 0 0 0
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