
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
There are 6 chess pieces, including one red and one blue for each type: chariot, horse, and cannon. They need to be arranged in a row such that the red chariot is to the left of the blue chariot, the red horse is to the left of the blue horse, and the red cannon is to the left of the blue cannon, but they do not necessarily need to be adjacent. How many different arrangements are possible?

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