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

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

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

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