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

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

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

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