<|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:  0 0 0 0 0 0 0 0 4 8 4 9 9 4 8 3 2 9 4 7 9 1 6 2 2 1 9 0 0
Output: 9 0 0 0 0 0 0 0 0 0 0 4 8 4 9 9 4 8 3 2 9 4 7 9 1 6 2 2 1

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

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

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