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

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

Example 3:
Input:  3 9 7 3 3 1 3 4 9 8 9 3 9 1 0 0 0 0 0 0 0 0 0 0 0 0 7 1 1 7
Output: 9 7 3 3 1 3 4 9 8 9 3 9 1 0 0 0 0 0 0 0 0 0 0 0 0 7 1 1 7 3

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