
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 designs a new type of staircase where each step, in addition to being taller than the previous, also requires two more toothpicks per segment than the previous step (both in the vertical and horizontal segments). If the first step requires 2 toothpicks for each segment, how many steps would she be able to construct with 360 toothpicks?
A) 10
B) 11
C) 12
D) 13
E) 14

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