<|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:  3 0 0 0 7 0 0 9 8 0 0 0 0 4 8 6 8 8 6 0 8 0 9 0 0 0 4 0
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 8 4 8 6 8 8 6 8 9 4

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 6 3 9 8 0 0 9 4 1 8 5 0 2 9 4 1 0 0 9 7 6 2 3 1 7 7 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