
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
Let $M$ be the number of ordered pairs of nonempty sets $\mathcal{C}$ and $\mathcal{D}$ that satisfy the following:
$\mathcal{C} \cup \mathcal{D} = \{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17\}$,
$\mathcal{C} \cap \mathcal{D} = \emptyset$,
The number of elements of $\mathcal{C}$ is not an element of $\mathcal{C}$,
The number of elements of $\mathcal{D}$ is not an element of $\mathcal{D}$.
Find the value of $M$.

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