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

Example 2:
Input:  4 8 6 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 5 1 4 5 4
Output: 6 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 5 1 4 5 4 4 8 6 7

Example 3:
Input:  7 1 7 7 1 4 5 3 8 5 9 7 1 0 0 4 9 5 2 3 2 2 3 1 8 8
Output: 1 4 5 3 8 5 9 7 1 0 0 4 9 5 2 3 2 2 3 1 8 8 7 1 7 7

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 8 7 6 3 4 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 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