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Problem: Minimum Cuts to Divide a Circle

Medium
30 min
Understand how to find the minimum number of cuts required to split a circle into equal slices. This lesson helps you apply mathematical concepts and geometric conditions to code an efficient solution for dividing circles.

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 n 100\leq 100

Problem
Ask
Submissions

Problem: Minimum Cuts to Divide a Circle

Medium
30 min
Understand how to find the minimum number of cuts required to split a circle into equal slices. This lesson helps you apply mathematical concepts and geometric conditions to code an efficient solution for dividing circles.

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 n 100\leq 100