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

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

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

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