
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
Two carpenters, Ivan and Nikita, each work with their constant productivity (the number of balusters produced per hour), which is the same every day. On Monday, Ivan worked for 3 hours, Nikita for 2 hours, and together they made 7 balusters. On Tuesday, Ivan worked for 5 hours, and Nikita for 3 hours, and together they made 11 balusters. How many balusters does Nikita produce per hour?

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