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

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

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

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