
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
Lily the Lemur and Felix the Fox are climbing a staircase with a certain number of steps. Lily leaps three steps at once (if needed, she adjusts her final jump to match the remaining steps), while Felix jumps four steps at once (adjusting his final jump similarly if fewer steps remain). It is known that Felix takes 15 fewer jumps than Lily to reach the top of the staircase. Let $t$ be the sum of all possible numbers of steps in this staircase. What is the sum of the digits of $t$?
A) 7
B) 8
C) 9
D) 10

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