
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
Alice needs to replace a light bulb located $15$ centimeters below the ceiling in her living room. The ceiling is $3$ meters above the floor. Alice is $1.5$ meters tall and can reach $50$ centimeters above the top of her head when standing on the floor. There is a hanging decoration $5$ centimeters below where the light bulb is installed, slightly limiting the space. Standing on a stool, she can just reach the light bulb. Determine the height of the stool, in centimeters.

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