
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 person has 5 playing cards, including 2 twos of different suits and 3 aces of different suits. They must play at least one card at a time, and can only play cards of the same rank at the same time, with no limit on the number of cards of that rank. If all 5 cards are played, then the person has a total of $\_\_\_\_$ different ways to play them.

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