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

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

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

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