
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
A monkey becomes lucky if he eats three different fruits. Determine the largest number of monkeys one can make lucky, by having 20 oranges, 30 bananas, 40 peaches, and 50 tangerines.

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