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:  9 4 1 6 7 0 3 0 0 9 7 0 9 0 0 1 0 7 2 1 0 0 0 3 8 3 0 0 8
Output: 0 0 0 0 0 0 0 0 0 0 0 0 9 4 1 6 7 3 9 7 9 1 7 2 1 3 8 3 8

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

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

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