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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
0 0 2 7 3 1 0 1 9 4 6 4 0 4 7 3 0 0 2 0 0 0 0 0 0 1 4
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