<|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 2 9 5 6 7 5 1 3 9 7 7 8 3 3 2 3 0
Output: 3 2 3 0 0 0 0 0 0 0 0 2 9 5 6 7 5 1 3 9 7 7 8 3

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

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