
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
Vasya has 100 bank cards. He knows that one of the cards has 1 ruble, another has 2 rubles, and so on, up to the last card, which has 100 rubles. However, he does not know how much money is on each specific card. Vasya can insert a card into an ATM and request a certain amount. The ATM will dispense the requested amount if it is available on the card but will not dispense anything if the card does not have that amount. Regardless of whether the requested amount is dispensed or not, the ATM will retain the card, and it will not show how much money was on the card.

What is the maximum amount of money Vasya can guarantee to receive?

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