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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 7 3 9 4 0 0 0 0 0 0 0 0 0 0 0 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