<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Find the common rule that maps an input grid to an output grid, given the examples below.

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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 3 2 5 1 8 2 9 3 5 3 3 5 7 0 0 0 0 0 0 0 0
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>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user