
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
Petya possesses a card with 1% cashback on all purchases. Additionally, the bank offers him to choose up to three categories with increased cashback each month. Which categories are the most beneficial to select considering the cashback percentage and the estimated expenses?

1) Transport: cashback - 5%, expenses - 2000 rubles
2) Groceries: cashback - 3%, expenses - 5000 rubles
3) Clothing: cashback - 4%, expenses - 3000 rubles
4) Entertainment: cashback - 5%, expenses - 3000 rubles
5) Sports goods: cashback - 6%, expenses - 1500 rubles

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