
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
You have 54 poker cards. You throw away the 1st card, put the 2nd card at the end, throw away the 3rd card, put the 4th card at the end, and so on. When you are left with only one card, what is the position of this card in the original sequence of cards?

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