<|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:  6 0 0 0 7 1 0 8 9 8 1 9 7 0 0 0 0 1 7 0 8 0 0 0 1
Output: 0 0 0 0 0 0 0 0 0 0 0 0 6 7 1 8 9 8 1 9 7 1 7 8 1

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

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

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