
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
Robert has 5 indistinguishable gold coins and 5 indistinguishable silver coins. He wants to stack all 10 coins into a single stack on a table such that no three consecutive coins are face (engraved side) to face to face. Find the number of possible distinguishable arrangements of the 10 coins.

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