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

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

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

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