
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
In a coordinate system, point \( A \) is located at \( (16, 0) \) and point \( B \) is at \( (0, 0) \). A point \( D \) is located on the y-axis such that the heights from \( B \) to \( D \) is 2, and the horizontal distance from \( D \) to \( A \) is 16. Calculate the sum of the distances \( AD \) and \( BD \).
A) Between 17 and 18
B) Between 18 and 19
C) Between 19 and 20
D) Exactly 18
E) Exactly 19

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