<|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:  9 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7
Output: 7 7 9 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3

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

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

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 0 0 0 0 0 0 2 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