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

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

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

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