
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A $\textit{deficient number}$ is a positive integer, the sum of whose distinct proper factors is less than the number itself. However, a number is called an $\textit{abundant-deficient number}$ if the sum of the distinct proper factors of the number is exactly half of the number. How many abundant-deficient even numbers are there less than 50?

Present the answer in LaTex format: \boxed{Your answer}
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