
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
Using any number of coins with denominations of 1, 2, 5, and 10 rubles, as well as (free) brackets and signs of the four arithmetic operations, create an expression with a value of 2009, spending as little money as possible.

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