
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 $A$ be a non-empty subset of the set of integers. If set $A$ satisfies: ① There exists $k \in A$ such that $k + 1 \in A$; ② For every $k \in A$, $k - 2 \notin A$, then we say that set $A$ has property M. Given $S = \{1,2,3,4,5,6\}$, the number of subsets of $S$ consisting of 3 elements that have property M is $\boxed{\text{\_\_\_\_\_\_\_\_}}$.

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