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

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

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

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