<|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:  7 0 0 0 0 0 0 0 0 0 0 0 3 8 1 2 4
Output: 2 4 7 0 0 0 0 0 0 0 0 0 0 0 3 8 1

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
7 0 0 0 0 0 0 0 0 9 7 2 5 8 9 5 8
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