
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 the New Year, a grandmother gave her three grandsons lucky money totaling 300 yuan, consisting of 50 yuan, 20 yuan, and 10 yuan notes in various quantities. Each grandson received money of only one denomination. If the number of notes of the smallest denomination is exactly equal to the product of the number of notes of the other two denominations, then the amounts of lucky money received by the three grandsons are.

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