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

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

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

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