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

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

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

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