
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
Josie has a set of $24$ thin rods, one of each integer length from $5$ cm to $28$ cm. She selects rods of lengths $4$ cm, $9$ cm, and $14$ cm to place on a table. She now wants to choose a fourth rod to combine with these three to create a quadrilateral with positive area. How many of the remaining rods can she use as the fourth rod?
A) 20    
B) 21    
C) 22    
D) 23    
E) 24

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