<|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:  5 1 4 4 3 0 0 0 9 1 9 5 2 4 8 2 3 5 6 1 2 6 9 9
Output: 9 5 1 4 4 3 0 0 0 9 1 9 5 2 4 8 2 3 5 6 1 2 6 9

Example 2:
Input:  9 6 2 6 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7
Output: 7 9 6 2 6 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4

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

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