Solution: Minimum Cuts to Divide a Circle
Explore how to determine the minimum number of straight cuts required to divide a circle into n equal slices. Understand the difference in approach between even and odd values of n and apply this knowledge through a clear algorithm with constant time complexity. This lesson helps you quickly solve geometric partition problems related to circles.
We'll cover the following...
We'll cover the following...
Statement
Given an integer n, determine the minimum number of cuts required to divide the circle into n equal slices. A valid cut in a circle is defined as one of the following:
A cut is represented by a straight line that passes through the circle’s center and touches two points on its edge.
A cut is represented by a straight line touching one point on the circle’s edge and center.
Examples of some valid and invalid cuts
Constraints:
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