
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
Tom starts with a positive integer \( m \) and creates a sequence of numbers. Each successive number is produced by subtracting the largest integer square less than or equal to the current number until he reaches one. For example, if Tom starts with \( m = 48 \), then his sequence may look something like this: 

\[ 
\begin{array}{ccccc}
{}&{}&{}&{}&48\\
48&-&6^2&=&12\\
12&-&3^2&=&3\\
3&-&1^2&=&2\\
2&-&1^2&=&1\\ 
\end{array}
\]

Let \( M \) be the smallest number for which Tom’s sequence contains \( 6 \) numbers, including \( M \) and 1. What is the units digit of \( M \)?
A) 0
B) 1
C) 2
D) 3

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