
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 is 1.5 meters tall and can reach 40 centimeters above the top of her head. Given the ceiling is 3 meters above the floor and the light bulb 15 centimeters below the ceiling, determine the minimum height of the stool, in centimeters, that Alice needs to stand on to just reach the light bulb.

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