<|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:  7 4 4 5 8 0 0 0 0 0 0 0 0 0 0 0 0 7 8 9 7 9
Output: 9 7 4 4 5 8 0 0 0 0 0 0 0 0 0 0 0 0 7 8 9 7

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

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

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