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:  2 7 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 9 5 9 4
Output: 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 9 5 9 4 2 7

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

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

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