
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 say Jim now starts with a positive integer \( n \) and decides to create a sequence differently this time. Each successive number is obtained by subtracting the largest even integer square less than or equal to the current number until zero is reached. Jim notices that his sequence includes \( n \) itself and the final 0. For instance, starting with \( n = 64 \), the sequence could be \( 64, 64 - 8^2 = 0 \). Find the smallest number \( n \) for which Jim's sequence contains precisely 6 numbers. What is the units digit of \( n \)?
A) 0
B) 2
C) 4
D) 6
E) 8

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