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

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

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

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