
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
During Easter, boys arrived at a family with 4 girls and each boy had a full bottle of cologne. Each boy poured half of his cologne on the girl he liked the most, 5 drops each on the remaining 3 girls, and the rest on the mother. What is the minimum number of drops of cologne that each bottle had if no girl received more than the cologne from 3 bottles, but the mother did?

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