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 0 0 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Output: 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7

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

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

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