
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
Each of the positive integers 2013 and 3210 has the following three properties:

(i) it is an integer between 1000 and 10000,

(ii) its four digits are consecutive integers, and

(iii) it is divisible by 3.

In total, how many positive integers have these three properties?

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