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 4 2 2 1 2 1 6 9 3 0 0 0 0 0 0 0 0 0 0 1 1
Output: 4 2 2 1 2 1 6 9 3 0 0 0 0 0 0 0 0 0 0 1 1 9

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

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

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