<|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:  3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 1 4 2 4 4
Output: 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 1 4 2 4

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

Example 3:
Input:  1 1 2 7 7 4 4 7 4 9 1 0 0 0 0 0 0 2 9 3 3 9
Output: 9 1 1 2 7 7 4 4 7 4 9 1 0 0 0 0 0 0 2 9 3 3

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