
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 math competition organized by a school, the students' scores X follow a normal distribution X～N(100,σ^2). Let P(X > 120) = a and P(80 ≤ X ≤ 100) = b. Determine the minimum value of 4/a + 1/b.

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