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

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

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

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