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

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

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

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