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

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

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

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