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

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

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

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