
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
Suppose you have two standard decks of cards, each containing 52 cards divided into 4 suits, with each suit having 13 cards—resulting in a total of 104 cards. Two of the suits are red, and two are black. The cards from both decks are shuffled together. How many ways can you pick two different cards from these shuffled decks, where the order of choosing matters (i.e., picking the ace of spades and then a duplicated ace of spades from the other deck is different from picking them in the reverse order)?

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