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:  9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 6 7 9 1
Output: 6 7 9 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8

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

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

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