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

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

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

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