
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
Peppy the Pigeon and Freddy the Frog are going up the same staircase. Peppy can fly up three steps per jump, and Freddy can hop four steps per jump. However, both may take fewer steps on their final jump if fewer than their usual jumps remain. Suppose Freddy takes 15 fewer jumps than Peppy to reach the top of the staircase. Find all possible total numbers of steps in this staircase and determine the sum of the digits of this total.
A) 18
B) 19
C) 20
D) 21
E) 22

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