
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
A light ray travels from point \( A(-3, 5) \) to the line \( l: 3x - 4y + 4 = 0 \), then reflects and travels to point \( B(2, 15) \). Find the length of the light ray's path from \( A \) to \( B \).

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