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Solution: Minimum Cuts to Divide a Circle

Explore how to determine the minimum cuts required to divide a circle into equal slices. Understand the distinction between even and odd n values to apply efficient cutting strategies, and analyze the problem with constant time and space complexity.

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:

  1. A cut is represented by a straight line that passes through the circle’s center and touches two points on its edge.

  2. 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
Examples of some valid and invalid cuts

Constraints:

  • 11 \leq ...