
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
For positive integers $n$, denote $D(n)$ by the number of pairs of different adjacent digits in the binary (base two) representation of $n$. For example, $D(5) = D(101_{2}) = 2$, $D(23) = D(10111_{2}) = 1$, and $D(200) = D(11001000_{2}) = 3$. How many positive integers less than or equal to $200$ have $D(n) = 3$?
A) 15
B) 18
C) 20
D) 22
E) 24

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