Find the total area covered by two rectilinear rectangles in a 2D plane.
Each rectangle is defined by its bottom left corner and top right corner as shown in the figure.
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Assume that the total area is never beyond the maximum possible value of int.
对于这个问题,如果思路正确,解决起来还是比较简单的。
1.如果没有重叠,则直接返回两个矩形的总面积:(C-A)*(D-B) + (G-E)*(H-F)。判断两个矩形是否重叠:if(C<E || G<A || H<B || D<F)。
2.如果有重叠,计算重叠面积的大小。总面积-重叠面积。
public class Solution {
public int computeArea(int A, int B, int C, int D, int E, int F, int G, int H) {
int total = (C-A)*(D-B) + (G-E)*(H-F);
if(B>H || C<E || D<F || A>G) return total;
int l = 0;
if(E>A) l = Math.min((C-E),(G-E));
else l = Math.min((C-A),(G-A));
int h = 0;
if(D>H) h = Math.min((H-B),(H-F));
else h = Math.min((D-B),(D-F));
return (total-(l*h));
}
}
计算重叠部分的长和宽是一个难点,要明确可能重叠的几种情况,然后用简洁的代码把它表示出来。