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

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

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

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