
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
In a similar scenario, consider a coded vault where different codes correspond to different thickness levels of identification cards: Alpha card, 1.65 mm; Beta card, 2.05 mm; Gamma card, 1.25 mm; Delta card, 1.85 mm. If the total thickness of a stack of these cards reaches exactly 15.6 mm, how many cards are in the stack?

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