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

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

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

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