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

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 1 0 0 4 1 1 0 0 0 5 0 5 0 1 7 6 0 8 0 9 0 0 1 5 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