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Rectangle Area

时间:2015-10-25 09:35:26      阅读:235      评论:0      收藏:0      [点我收藏+]

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.

  • 得到两个长方形的最大覆盖面积;主要是处理重叠部分
void swapTwo(int *A, int *B)
{
    int tmp = *A;
    *A = *B;
    *B = tmp;
}
void sortFour(int *A, int *C, int *E, int *G)
{
    int tmp = 0;
    if(*A > *C)
        swapTwo(A, C);
    if(*E > *G)
        swapTwo(E, G);
    if(*A > *E)
        swapTwo(A, E);
    if(*C > *E)
        swapTwo(C, E);
    if(*E > *G)
        swapTwo(E, G);
}
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(A >= G || C <= E || B >= H || D <= F)
        return total;
    else
        {
            sortFour(&A, &C, &E, &G);
            sortFour(&B, &D, &F, &H);
            return total - (E - C) * (F - D);
        }
}
  • 如果存在重叠部分,则把横纵各4个坐标排序,得到中间两个,然后得到重叠部分的面积
int max(int a, int b)
{
    if(a > b)
        return a;
    else 
        return b;
}
int min(int a, int b)
{
    if(a > b)
        return b;
    else
        return a;
}
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(A >= G || C <= E || B >= H || D <= F)
        return total;
    int top = min(D, H);
    int bottom = max(B, F);
    int left = max(A, E);
    int right = min(C, G);
    return total - (top - bottom) * (right - left);
}
  • 看起来比上面的代码简单,可是速度竟然没有加快;

Rectangle Area

原文:http://www.cnblogs.com/dylqt/p/4908217.html

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