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

Example 2:
Input:  4 4 3 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 1 3
Output: 3 4 4 3 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 1

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 3 3 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