
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
Three fair dice, each with at least 6 faces are rolled. On each face of each die is printed a distinct integer from 1 to the number of faces on that die, inclusive. The probability of rolling a sum of 12 is twice the probability of rolling a sum of 15, and the probability of rolling a sum of 18 is 1/16. What is the least possible number of faces on three dice combined?
A) 22
B) 23
C) 24
D) 25
E) 26

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