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

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