
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
Joy has 30 thin rods, one each of every integer length from 1 cm through 30 cm. She selects rods of lengths 5 cm, 11 cm, and 18 cm to place on a table. Next, she wants to choose an additional fourth rod to combine with these three and form a quadrilateral with a positive area. How many of the remaining rods can she choose as the fourth rod?
**A)** 20
**B)** 22
**C)** 23
**D)** 24
**E)** 25

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