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

Example 2:
Input:  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 2 1 5 5 8
Output: 5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 2 1 5

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

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