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

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

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

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