A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 6 8 7 0 0 0 0 0 0 0 4 6 5 3 3 3 6 7 2 6 6 1 3 1 8 3
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>.
Assistant: Let me solve this step by step.
<think>
user