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 2 9 1 1 5 4 7 5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9
Output: 1 1 5 4 7 5 8 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 6 2 9

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

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

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