
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
There are 85 balloons in a room — red and blue. It is known that: 1) at least one of the balloons is red; 2) in each arbitrarily chosen pair of balloons, at least one is blue. How many red balloons are there in the room?

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