
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
How many ways are there to choose 4 cards from two standard decks of 52 cards each, if no two cards can be of the same suit and at most two can be of royal cards (J, Q, K)? (Assume that the order of the cards does not matter.)

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