
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
Sara decides to extend her toothpick staircase design where each step now consists of three segments, a horizontal, a vertical, and a new interior diagonal that extends across each step. She constructs a 3-step staircase and notices that it uses 27 toothpicks. Determine how many steps would be in a staircase that used 270 toothpicks.
A) 10
B) 11
C) 12
D) 24
E) 30

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