
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
I saw the following trick by a magician. A spectator randomly chose 5 cards from a 52-card French deck and handed them to the magician's assistant. (The assistant was a regular partner of the magician, so they could have prearranged something earlier.) The assistant looked at the 5 cards and handed 4 of them, one by one, to the magician. Then the magician, without any further information, named the fifth card.

At the end of the trick, the magician tried to convince the mathematically-inclined spectators in the following way:

"My assistant showed me four cards, and these four cards can be chosen arbitrarily from the deck. Thus, they could only provide information to me through the order in which the cards were presented. As is well known, 4 cards can be ordered in $4! = 24$ ways, but the fifth card could be any of $52 - 4 = 48$. So, precisely one bit of information is missing, hence the need for a miracle."

Is it true that supernatural abilities are indeed required for the trick?

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