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

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

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

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