<|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:  2 4 9 1 5 0 0 0 0 0 0 0 0 5 3 9 1 3 4 5
Output: 9 1 5 0 0 0 0 0 0 0 0 5 3 9 1 3 4 5 2 4

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

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

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.
Input:
9 7 4 5 0 0 0 0 0 7 7 7 6 9 3 9 1 3 5 7
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