
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
Given six red candies, four green candies, and five blue candies, how many different flavors can be made if a flavor is defined by the percent composition of colors and cannot include more than two colors in one combination? Additionally, each flavor must use at least two candies.

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