
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
Genta has a collection of 365 cards, each with a unique number written on the back. Vasha can pay one ruble to choose any three cards, and then have Belya arrange these three cards in increasing order according to the numbers on the back. The question is whether Vasha can pay 2000 rubles and definitely achieve the goal of arranging all 365 cards on the table in increasing order based on the numbers written on the back.

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