223. Rectangle Area

LeetCode medium original: C# #csharp #leetcode #math #medium #two-pointers

Task text is translated from Russian for the selected interface language. Code is left unchanged.

LeetCode Static

given координаты двух прямоугольных прямоугольников на двумерной плоскости, return общую площадь, покрытую этими двумя прямоугольниками.

Первый прямоугольник определяется его нижним левым углом (ax1, ay1) и верхним правым углом (ax2, ay2).

Второй прямоугольник определяется его нижним левым углом (bx1, by1) и верхним правым углом (bx2, by2).

Example:

Input: ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2

Output: 45

C# solution

matched/original

public class Solution {
    public int ComputeArea(int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) {
        int areaOfA = (ay2 - ay1) * (ax2 - ax1);
        int areaOfB = (by2 - by1) * (bx2 - bx1);
        int left = Math.Max(ax1, bx1);
        int right = Math.Min(ax2, bx2);
        int xOverlap = right - left;
        int top = Math.Min(ay2, by2);
        int bottom = Math.Max(ay1, by1);
        int yOverlap = top - bottom;
        int areaOfOverlap = 0;
        if (xOverlap > 0 && yOverlap > 0) {
            areaOfOverlap = xOverlap * yOverlap;
        }
        int totalArea = areaOfA + areaOfB - areaOfOverlap;
        return totalArea;
    }
}

C++ solution

auto-draft, review before submit

#include <bits/stdc++.h>
using namespace std;

// Auto-generated C++ draft from the C# solution. Review containers, LINQ and helper types before submit.
class Solution {
public:
    public int ComputeArea(int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) {
        int areaOfA = (ay2 - ay1) * (ax2 - ax1);
        int areaOfB = (by2 - by1) * (bx2 - bx1);
        int left = max(ax1, bx1);
        int right = min(ax2, bx2);
        int xOverlap = right - left;
        int top = min(ay2, by2);
        int bottom = max(ay1, by1);
        int yOverlap = top - bottom;
        int areaOfOverlap = 0;
        if (xOverlap > 0 && yOverlap > 0) {
            areaOfOverlap = xOverlap * yOverlap;
        }
        int totalArea = areaOfA + areaOfB - areaOfOverlap;
        return totalArea;
    }
}

Java solution

matched/original

class Solution {
    public int computeArea(int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) {
        int areaOfA = (ay2 - ay1) * (ax2 - ax1);
        int areaOfB = (by2 - by1) * (bx2 - bx1);

        int left = Math.max(ax1, bx1);
        int right = Math.min(ax2, bx2);
        int xOverlap = right - left;

        int top = Math.min(ay2, by2);
        int bottom = Math.max(ay1, by1);
        int yOverlap = top - bottom;

        int areaOfOverlap = 0;
        if (xOverlap > 0 && yOverlap > 0) {
            areaOfOverlap = xOverlap * yOverlap;
        }

        int totalArea = areaOfA + areaOfB - areaOfOverlap;

        return totalArea;
    }
}

JavaScript solution

matched/original

function computeArea(ax1, ay1, ax2, ay2, bx1, by1, bx2, by2) {
    const areaOfA = (ay2 - ay1) * (ax2 - ax1);
    const areaOfB = (by2 - by1) * (bx2 - bx1);

    const left = Math.max(ax1, bx1);
    const right = Math.min(ax2, bx2);
    const xOverlap = right - left;

    const top = Math.min(ay2, by2);
    const bottom = Math.max(ay1, by1);
    const yOverlap = top - bottom;

    let areaOfOverlap = 0;
    if (xOverlap > 0 && yOverlap > 0) {
        areaOfOverlap = xOverlap * yOverlap;
    }

    const totalArea = areaOfA + areaOfB - areaOfOverlap;

    return totalArea;
};

Python solution

matched/original

class Solution:
    def computeArea(self,
                    ax1: int, ay1: int,
                    ax2: int, ay2: int,
                    bx1: int, by1: int,
                    bx2: int, by2: int) -> int:
        area_of_a = (ay2 - ay1) * (ax2 - ax1)
        area_of_b = (by2 - by1) * (bx2 - bx1)

        left = max(ax1, bx1)
        right = min(ax2, bx2)
        x_overlap = right - left

        top = min(ay2, by2)
        bottom = max(ay1, by1)
        y_overlap = top - bottom

        area_of_overlap = 0
        if x_overlap > 0 and y_overlap > 0:
            area_of_overlap = x_overlap * y_overlap

        total_area = area_of_a + area_of_b - area_of_overlap

        return total_area

Go solution

matched/original

func computeArea(ax1 int, ay1 int, ax2 int, ay2 int, bx1 int, by1 int, bx2 int, by2 int) int {
    areaOfA := (ay2 - ay1) * (ax2 - ax1)
    areaOfB := (by2 - by1) * (bx2 - bx1)

    left := max(ax1, bx1)
    right := min(ax2, bx2)
    xOverlap := right - left

    top := min(ay2, by2)
    bottom := max(ay1, by1)
    yOverlap := top - bottom

    areaOfOverlap := 0
    if xOverlap > 0 && yOverlap > 0 {
        areaOfOverlap = xOverlap * yOverlap
    }

    totalArea := areaOfA + areaOfB - areaOfOverlap
    return totalArea
}

func max(x, y int) int {
    if x > y {
        return x
    }
    return y
}

func min(x, y int) int {
    if x < y {
        return x
    }
    return y
}

Algorithm

Вычислить площади двух прямоугольников:

Рассчитайте площади прямоугольников A и B, умножив их ширину на высоту.

Вычислить перекрытие:

find перекрытие по оси X и оси Y. Если перекрытие существует, вычислите площадь перекрытия.

Вычислить и вернуть общую площадь:

Вычтите площадь перекрытия из суммы площадей двух прямоугольников и return результат.

😎

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