<|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:  0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 3 2 6 6 7 9 3
Output: 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 3 2 6 6 7

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

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

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