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

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

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

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