
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
Emma has a sequence game where she starts with a number $n$ and repeatedly subtracts the largest perfect cube (instead of square) less than or equal to the current number until she hits zero. If Emma's sequence must contain exactly 6 numbers, including $n$ and $0$, determine the smallest possible value of $n$. What is the units digit of this $n$?
A) 1
B) 2
C) 4
D) 6
E) 8

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