
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
Four people, A, B, C, and D, each have a different number of playing cards.
A says: "I have 16 more cards than C."
B says: "D has 6 more cards than C."
C says: "A has 9 more cards than D."
D says: "If A gives me 2 cards, I will have 3 times as many cards as C."

It is known that the person with the fewest cards is lying, and the others are telling the truth. How many cards does D have?

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