<|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 0 8 3 3 4 9 9 3 4 2 7 3 8 8 5 8 1 5 9 8 2
Output: 8 2 0 0 0 0 0 0 0 0 0 8 3 3 4 9 9 3 4 2 7 3 8 8 5 8 1 5 9

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 7 5 5 9 7 4 3 8 5 9 3 9 9 5 8 1 2 3 8 5 5 0 0 4 6 1 1 7
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