
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
All the inhabitants of the island are either blondes or brunettes with either green or blue eyes. The proportion of brunettes among the blue-eyed is 65%. The proportion of blue-eyed among the blondes is 70%. Finally, the proportion of blondes among the green-eyed is 10%. What percentage of the island's population are green-eyed brunettes?

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