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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 5 2 7 9 6 2 4 4 1 8 8 9 5 4 7 8 9 4 9 1 1 7 0
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