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

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

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

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