
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
How many ways are there to arrange the letters of the word $\text{CO}_1\text{L}_1\text{O}_2\text{R}_2\text{F}_3\text{U}_4\text{L}_3$, in which the two O's and two L's are considered different?

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