
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
Five red candies and five green candies are available to make different flavors. A flavor is defined by the ratio of red to green candies, and is different only if the percentage ratio of red to green differs. Determine how many unique flavors can be created using at least one of each type of candy.

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