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 5 9 3 7 1 9 2 6 6 5 2 7 2 4 0 0 0 0 0 0 0 0 2 2
Output: 2 2 5 5 9 3 7 1 9 2 6 6 5 2 7 2 4 0 0 0 0 0 0 0 0

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

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

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