
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
In her collection, Joy now has rods ranging from 1 cm to 40 cm, each of every integer length. On a table, she places rods of lengths 4 cm, 9 cm, and 18 cm. She wants to select another rod from her collection to combine with these three to form a quadrilateral with positive area. How many choices does Joy have for the fourth rod from the remaining rods?
A) 24
B) 25
C) 26
D) 27
E) 28

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