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

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

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

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