
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 that a random variable follows the normal distribution $N(\mu, \sigma^2)$, the probabilities of the variable falling within the intervals $(\mu-\sigma, \mu+\sigma)$, $(\mu-2\sigma, \mu+2\sigma)$, and $(\mu-3\sigma, \mu+3\sigma)$ are 68.3%, 95.4%, and 99.7%, respectively. The heights of 1000 freshmen follow the normal distribution $(165, 5^2)$. Calculate the number of uniforms that need to be customized for students with heights in the range of 155~175cm.

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