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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 6 6 2 8 3 7 8 4 1 9 5 1 0 0 0 0 0 0 0 0 0 1 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