
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 pharmaceutical company needs to optimize the cultivation temperature for a certain medicinal liquid used in bioassays. The experimental temperature range is defined from 29°C to 63°C, with an accuracy requirement of ±1°C. When using the fractional method for optimization, the minimum number of experiments needed to ensure identification of the optimal cultivation temperature is ___.

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