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

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

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

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