
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 merchant once came to the city with umbrellas of three colors. He had twice fewer blue umbrellas than yellow and red combined, three times fewer red umbrellas than yellow and blue combined, and there were 45 yellow umbrellas. How many blue and how many red umbrellas did the merchant have?

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