
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
In a box, there are 7 red pencils and 5 blue pencils. In the dark, pencils are taken out. How many pencils need to be taken out to ensure there are at least two red ones and at least three blue ones among them?

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