
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
In the set of three-digit positive integers, if the digit in the tens place is less than the sum of the digits in the units and hundreds places, then such a number is called a "hump number". For example, $102$ and $546$ are "hump numbers". Among the "hump numbers" formed without repeating digits from the five digits $1$, $2$, $3$, $4$, $5$, the sum of the digits in the tens place is ______.

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