Solution: Minimum Cuts to Divide a Circle
Discover how to determine the minimum number of cuts required to divide a circle into n equal slices. This lesson helps you understand the difference in approach for even and odd slice counts, using straightforward math and geometry concepts. You will learn to apply these principles efficiently with constant time complexity.
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.
Constraints:
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