
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 Class 5A, a survey was conducted to find out which fruits the students like. It turned out that:

- 13 students like apples,
- 11 students like plums,
- 15 students like peaches, and
- 6 students like melons.

A student can like more than one fruit. Each student who likes plums also likes either apples or peaches (but not both). Each student who likes peaches also likes either plums or melons (but not both).

What is the minimum number of students that can be in Class 5A?

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