
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 card shuffling machine rearranges the inserted cards in the same way each time it is used. We inserted 13 clubs in ascending order from 2 to Ace. The machine shuffled the cards once, then we placed the shuffled cards back into the machine, and the machine shuffled them again. The final order of the 13 cards was:

Jack, 10, King, 9, Ace, 4, 5, 2, 6, Queen, 7, 3, 8.

What was the order of the cards after the first shuffle?

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