
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
Given Alice's height of $1.6$ meters, the height of the ceiling is $3$ meters, and she can reach $50$ centimeters above her head, find the height of the stool in centimeters required for her to just reach the light bulb located $15$ centimeters below the ceiling.

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