FastPrep
Problem · Geometry

Circles Relationship

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Two circles on a Cartesian plane, A and B, are each defined by three descriptors:

  • x: the x-coordinate of the circle's center
  • y: the y-coordinate of the circle's center
  • R: the radius of the circle

    • Circles A and B will both be centered either on the X-axis (i.e., YA = 0 and YB = 0, or on the Y-axis (i.e., XA = 0 and XB = 0), but not both.

    A pair of circles (A and B) will have one of the following relationship types:

  • Touching: they touch each other at a single point
  • Concentric: they have the same center point
  • Intersecting: they intersect each other (touching at two points)
  • Disjoint-Outside: disjoint with one not existing outside of the other
  • Disjoint-Inside: disjoint with one contained inside the other (but not concentric)

    • Function Description

    Complete the function circles in the editor.

    circles has the following parameter(s):

    • string circlePairs[n]: each string contains six space-separated integers. The first three integers are X, Y, and R for circle A, and the last three are X, Y, and R for circle B.

    Returns

    string[n]: each string is the relation between the circles described in circlePairs[i]

    Examples
    01 · Example 1
    circlePairs = ["3 0 10 5 0 3", "0 1 4 0 1 5"]
return = ["Disjoint-Inside", "Concentric"]
    1. The circles are Disjoint-Inside.
  • Circle A is centered at (3, 0) and extends 10 units along the x-axis from -7 to 13.
  • Circle B is centered at (5, 0) and extends 3 units along the x-axis from 2 to 8.
    • 2. The circles are Concentric.
  • Circle A is centered at (0, 1) and extends 4 units along the y-axis from -3 to 5.
  • Circle B is centered at (0, 1) and extends 5 units along the y-axis from -4 to 6.
    • Constraints
    • 1 ≤ n ≤ 5000
    • 0 ≤ X,Y,R ≤ 5000
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    public String[] circles(String[] circlePairs) {
    // write your code here
}
    circlePairs["3 0 10 5 0 3", "0 1 4 0 1 5"]
    expected["Disjoint-Inside", "Concentric"]
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