
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
On one side of each of the 100 cards, one of the natural numbers from 1 to 100 inclusive is written (each number is written on exactly one card). The cards are then flipped with the reverse sides up and laid out in a random order on the table. With each question, Vasya can select any two cards and is then told by the host whether the numbers written on those cards are consecutive (differing by 1). What is the minimum number of questions Vasya must ask to guarantee identifying at least one pair of cards with consecutive numbers?

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