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

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 2 4 4 6 8 4 5 4 6 6 8 8
Output: 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 2 4 4 6 8 4 5 4 6 6 8

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

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