<|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 9 7 2 1 9 8 5 6 9 8 7 5 3 3 3 4 4 3 2 6 8 0 0 0 0 0 0 0 0
Output: 7 2 1 9 8 5 6 9 8 7 5 3 3 3 4 4 3 2 6 8 0 0 0 0 0 0 0 0 0 9

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

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

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