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

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

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

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