
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 $T$ be a set of $9$ integers taken from $\{1,2,\dots,20\}$ with the property that if $c$ and $d$ are elements of $T$ with $c<d$, then $d$ is not a multiple of $c$. Additionally, no element in $T$ can be a perfect square. What is the least possible value of an element in $T$?
A) 2
B) 3
C) 4
D) 5
E) 7

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