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

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

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

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