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

Example 2:
Input:  7 7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 8 2 3
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 8 2 3 7 7 8

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

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