
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
Five-digit numbers composed of the digits from 0 to 9 without repetition are formed such that the thousands, hundreds, and tens digits form an arithmetic sequence in increasing order, find the total number of such numbers.

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