<|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:  8 9 1 1 0 0 9 4 9 8 9 4 7 9 2 1 9
Output: 2 1 9 8 9 1 1 0 0 9 4 9 8 9 4 7 9

Example 2:
Input:  2 8 5 6 8 0 0 0 0 0 0 0 0 0 0 3 4
Output: 0 3 4 2 8 5 6 8 0 0 0 0 0 0 0 0 0

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

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