
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

Anton makes custom watches for a jewelry store. Each watch consists of a bracelet, a gemstone, and a clasp.

Bracelets are available in silver, gold, and steel. Anton has precious stones: cubic zirconia, emerald, quartz, diamond, and agate - and clasps: classic, butterfly, buckle. Anton is happy only when three watches are displayed in a row from left to right according to the following rules:

- There must be a steel watch with a classic clasp and cubic zirconia stone.
- Watches with a classic clasp must be flanked by gold and silver watches.
- The three watches in a row must have different bracelets, gemstones, and clasps.

How many ways are there to make Anton happy?

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