RectangleArea223.kt

package medium

/**
 * Given the coordinates of two rectilinear rectangles in a 2D plane, return the total area covered by the two rectangles.

The first rectangle is defined by its bottom-left corner (ax1, ay1) and its top-right corner (ax2, ay2).

The second rectangle is defined by its bottom-left corner (bx1, by1) and its top-right corner (bx2, by2).



Example 1:

Rectangle Area
Input: ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2
Output: 45
Example 2:

Input: ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2
Output: 16


Constraints:

-104 <= ax1 <= ax2 <= 104
-104 <= ay1 <= ay2 <= 104
-104 <= bx1 <= bx2 <= 104
-104 <= by1 <= by2 <= 104
 */
fun computeArea(ax1: Int, ay1: Int, ax2: Int, ay2: Int, bx1: Int, by1: Int, bx2: Int, by2: Int): Int {
    // Calculate Area of A
    val areaA = (ay2 - ay1) * (ax2 - ax1)

    // Calculate Area of B
    val areaB = (by2 - by1) * (bx2 - bx1)

    // Calculate Overlap X
    val overlapX = Math.min(ax2, bx2) - Math.max(ax1, bx1)

    // Calculate Overlap Y
    val overlapY = Math.min(ay2, by2) - Math.max(ay1, by1)
    var overlap = 0
    if (overlapX > 0 && overlapY > 0) {
        overlap = overlapX * overlapY
    }
    return areaA + areaB - overlap
}