
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 the autonomous enrollment of colleges, 50 students from a class applied for two universities. It is known that each person applied for at least one of the universities. It is estimated that the number of students applying for Shanghai University accounts for between 80% and 90% of the whole class, and the number of students applying for Shanghai Normal University accounts for between 32% and 40% of the whole class. Let $M$ be the maximum number of students who applied for both universities, and $m$ be the minimum number of students who applied for both universities. Then, $M-m=$   .

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