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

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

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

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