
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 that Leonie has 90 fair coins, and any coin that lands on tails is tossed again with the condition that it must land heads twice consecutively to count, calculate the expected number of coins that show heads.

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