
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 is playing a shooting game. If he scores less than 1000 points, the computer will add 20% of his score. If he scores between 1000 and 2000 points, the computer will add 20% of the first thousand points and 30% of the remaining points. If Petya scores more than 2000 points, the computer will add 20% of the first thousand points, 30% of the second thousand, and 50% of the remaining points. How many bonus points did Petya receive if he finished the game with 2370 points?

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