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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
5 8 1 1 9 2 3 2 4 5 6 9 0 0 0 0 0 0 7 8 2 3 1 5
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