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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 1 4 1 6 1 8 9
Output: 6 1 8 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 1 4 1

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

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

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