
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
There are two decks of playing cards, each arranged in the following order: the first two cards are the Big Joker and the Little Joker, followed by the suits of Spades, Hearts, Diamonds, and Clubs, with each suit's cards arranged in the order of 1, 2, 3, …, J, Q, K. Someone stacks these two decks on top of each other and then starts discarding the first card, placing the second card at the bottom of the deck, discarding the third card, placing the fourth card at the bottom, and so on, until only one card remains. What is the last remaining card?

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