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:  7 9 9 0 0 0 0 0 0 0 0 0 0 0 4 9 1 8 4 2 6 1 7
Output: 0 0 0 0 0 0 0 0 0 0 0 4 9 1 8 4 2 6 1 7 7 9 9

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
4 8 3 3 3 2 4 0 0 9 3 5 8 2 9 4 5 1 3 3 4 6 7
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