
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 deck of cards contains 52 cards, with each suit ("Diamonds", "Clubs", "Hearts", "Spades") having 13 cards. The ranks are $2, 3, \ldots, 10, J, Q, K, A$. Two cards of the same suit with consecutive ranks are called "straight flush" cards, and $A$ with 2 is also considered as consecutive (i.e., $A$ can be used as 1). Determine the number of ways to select 13 cards from this deck such that every rank appears and no "straight flush" cards are included.

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