<|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 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 6 5
Output: 0 8 6 5 7 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

Example 2:
Input:  8 5 0 0 0 0 0 0 1 4 4 1 9 5 1 9 8 8 8 5 6 7 3 4 6 1
Output: 3 4 6 1 8 5 0 0 0 0 0 0 1 4 4 1 9 5 1 9 8 8 8 5 6 7

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 7 7 5 9 7 3 5 6 3 4 6 9 4 4 4 2 8 8 0 0 0 3 6 5 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