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:  7 5 3 9 1 7 1 1 5 3 9 5 0 0 0 0 0 0 0 0 0 0 6
Output: 3 9 1 7 1 1 5 3 9 5 0 0 0 0 0 0 0 0 0 0 6 7 5

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

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

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 7 4 0 0 0 0 0 0 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