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N houses are located on a straight street which has K streetlights. Each streetlight has range R. Given N and K how to find minimum value for R?

N is an array containing location of each house. K is an integer value.

I am unable to identify the algo for this. I tried solving by taking location of 1st and last house, then dividing by K, this will give me max range of each streetlight. However, assume N=[3,4,5,10,13] and K=3. With division this wont work.

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This is a known problem: https://binarysearch.com/problems/Minimum-Light-Radius

Key Idea: Binary search for the diameter, then use that to find the radius.

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