
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 $50$ thin rods, each of a unique integer length from $1 \text{ cm}$ to $50 \text{ cm}$. She places rods of lengths $10 \text{ cm}$, $20 \text{ cm}$, and $30 \text{ cm}$ on a table. To form a quadrilateral with positive area, she wants to select a fourth rod. How many of the remaining rods can she choose as the fourth rod?
A) 54
B) 55
C) 56
D) 57
E) 58

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