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

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

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

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