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

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

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

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