
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

Severus Snape, the potions professor, prepared three potions, each in an equal volume of 400 ml. The first potion makes the drinker smarter, the second makes them more beautiful, and the third makes them stronger. To ensure the effect of any potion, it is sufficient to drink at least 30 ml of that potion. Snape intended to drink the potions himself, but he was called to see the headmaster and had to leave, leaving the labeled potions on his desk in large jugs. Harry, Hermione, and Ron took advantage of his absence and began to taste the potions.

Hermione was the first to try the potions: she approached the first jug with the intelligence potion and drank half of it, then poured the remaining potion into the second jug with the beauty potion, stirred the contents of the jug thoroughly, and drank half of it. Next, it was Harry's turn: he drank half of the third jug with the strength potion, poured the remaining potion into the second jug, stirred everything in this jug thoroughly, and drank half of it. Now all the contents are in the second jug, which went to Ron. What percentage of the contents of this jug does Ron need to drink to ensure that each of the three potions will have an effect on him?

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