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

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

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

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