
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
Mocha the Mouse and Felix the Fox are climbing a hill by jumping up terraces. Mocha jumps three terraces at a time, but can adjust for fewer terraces if necessary for the final jump. Felix jumps seven terraces at a time, adjusting as needed. If Felix takes 15 fewer jumps than Mocha to reach the top of a hill with a certain number of terraces, determine the sum of the digits of all possible total numbers of terraces in this hill.
A) 16
B) 17
C) 18
D) 19

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