
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
Let's consider a three-digit number, whose digits are not necessarily non-zero and distinct; the number is formed as \(100a + 10b + c\) where \(a, b, c\) are integers such that \(0 \leq a, b, c \leq 9\). Find the minimum value of the quotient of this number divided by the sum of its digits.
A) 9.7  
B) 10.1  
C) 10.5  
D) 10.9  
E) 50.5

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