<|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:  4 8 3 9 1 0 1 4 5 5 9 3 8 7 1 8 2 2 7 7 1 9 7 7 3
Output: 8 3 9 1 0 1 4 5 5 9 3 8 7 1 8 2 2 7 7 1 9 7 7 3 4

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
2 3 5 0 0 0 0 9 9 3 7 5 1 6 9 3 6 9 1 9 8 9 1 2 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>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user