
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
You are to form a four-digit number using the digits $0$, $1$, $2$, $3$, $4$, $5$ without repetition.

(1) How many different four-digit numbers can be formed?

(2) How many of these four-digit numbers are divisible by $3$?

(3) Arrange the four-digit numbers from part (1) in ascending order. What is the $85^{\text{th}}$ number in this sequence?

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