
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 girl has the following seven coins in her pocket: $2$ pennies, $2$ nickels, $2$ quarters, and $1$ half-dollar. She takes out two coins, records the sum of their values, and then puts them back with the other coins. How many different sums can she record at most?

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