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:  8 3 2 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 3 3 2 9 3 4
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 3 3 2 9 3 4 8 3 2 9

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

Example 3:
Input:  2 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 6 6 7 7 2 7 9 2
Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 6 6 7 7 2 7 9 2 2 9 3 0

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