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:  6 2 8 0 7 5 0 7 1 0 0 2 8 0 1 0 5 0 0 7 5 4 2 1 0 1 4 4
Output: 0 0 0 0 0 0 0 0 0 6 2 8 7 5 7 1 2 8 1 5 7 5 4 2 1 1 4 4

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

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

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