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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 3 6 2 9 1 1 3 1 0 3 2 5 5 7 2 2 4 5 1 3 7 9 1 1 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