
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
Call a positive integer an uphill integer if every digit is strictly greater than the previous digit. Find how many uphill integers that are divisible by 10 can be formed using any subset of the digits from {1, 2, 3, 4, 5, 6}, with each digit used at most once.
A) 30
B) 31
C) 32
D) 33

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