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

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

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

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