
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
For every composite positive integer $n$, define $s(n)$ to be the sum of the squares of the prime factors in the prime factorization of $n$, considering each prime factor according to its multiplicity. For example, $s(18) = 18$ because the prime factorization of $18$ is $2 \times 3^2$, and $2^2 + 3^2 + 3^2 = 4 + 9 + 9 = 22$. Determine the range of the function $s$, $\{s(n): n \text{ is a composite positive integer}\}$.
A) the set of integers greater than 11
B) the set of integers greater than 12
C) the set of integers greater than 13
D) the set of integers greater than 14

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