
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
Cozy the Cat and Dash the Dog are going up a staircase with a certain number of steps. Cozy jumps two steps at a time, while Dash jumps four steps at a time. If necessary, each can adjust their final jump to be less than their usual number to exactly reach the top. Suppose Dash takes 15 fewer jumps than Cozy to reach the top of the staircase. Let $s$ denote the sum of all possible numbers of steps this staircase can have. Calculate the sum of the digits of $s$.
A) 10
B) 11
C) 12
D) 14

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