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

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

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

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