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 6 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 2 6 3 6 6 9 5 7 8
Output: 6 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 2 6 3 6 6 9 5 7 8 8

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

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

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