
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
$a$, $b$, $c$ are three distinct digits, and $a > b > c$. Two different two-digit numbers can be formed using $a$ and $b$, and the sum of these two numbers is $55$. Six different three-digit numbers can be formed using $a$, $b$, $c$, and the sum of these six numbers is greater than $1300$ but less than $1400$. What is the value of the three-digit number $abc$?

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