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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 5 0 7 5 3 5 6 7 8 7 7 9 6 6 6 7 6 1
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