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

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

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

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