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:  8 3 4 3 9 3 3 4 3 3 1 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6
Output: 6 6 8 3 4 3 9 3 3 4 3 3 1 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0

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

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

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