
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. Vasya knows that one of the cards has 1 ruble, another card has 2 rubles, and so on, up to 100 rubles on the last card, but he doesn't know which card has which amount. Vasya can insert a card into an ATM and request a certain amount. The ATM gives the requested amount if it is available on the card, gives nothing if the amount is not available, and the card is eaten in any case. Furthermore, the ATM does not show how much money was on the card. What is the maximum amount Vasya can guarantee to get?

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