
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
Claudia has 15 coins, each of which is either a 5-cent coin or a 10-cent coin. She can produce exactly 26 different values using one or more of her coins. Determine the number of 10-cent coins Claudia has.
A) 9  
B) 10  
C) 11  
D) 12  
E) 13

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