<|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 4 7 1 1 6 5 5 4 5 5 2 8 3 6 6 8 8 4 3 7 4 1 8
Output: 1 8 0 0 0 0 0 0 0 4 7 1 1 6 5 5 4 5 5 2 8 3 6 6 8 8 4 3 7 4

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

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

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