
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
Given that a rising number, such as $234689$, is a positive integer each digit of which is larger than each of the digits to its left, consider the six-digit rising numbers formed using the digits from $1$ to $9$. There are $\binom{9}{6} = 84$ such six-digit rising numbers. When these numbers are arranged from smallest to largest, the $79^{\text{th}}$ number in the list does not contain which digit?
**A)** 2
**B)** 4
**C)** 6
**D)** 8
**E)** 9

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