<|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:  8 1 7 6 3 2 4 9 8 5 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 5
Output: 7 6 3 2 4 9 8 5 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 5 8 1

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

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

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