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

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

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

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