您的位置:威尼斯官方网站 > 威尼斯官方网站 > 最大长方形

最大长方形

发布时间:2020-01-05 13:12编辑:威尼斯官方网站浏览(129)

    威尼斯官方网站,描述

    A histogram is a polygon composed of a sequence of rectangles aligned at a common base line. The rectangles have equal widths but may have different heights. For example, the figure on the left shows the histogram that consists of rectangles with the heights 2, 1, 4, 5, 1, 3, 3, measured in units where 1 is the width of the rectangles:
    威尼斯官方网站 1
    Usually, histograms are used to represent discrete distributions, e.g., the frequencies of characters in texts. Note that the order of the rectangles, i.e., their heights, is important. Calculate the area of the largest rectangle in a histogram that is aligned at the common base line, too. The figure on the right shows the largest aligned rectangle for the depicted histogram.

    输入The input contains several test cases. Each test case describes a histogram and starts with an integer n, denoting the number of rectangles it is composed of. You may assume that 1 <= n <= 100. Then follow n integers h1, ..., hn, where 0 <= hi <= 100000. These numbers denote the heights of the rectangles of the histogram in left-to-right order. The width of each rectangle is 1. A zero follows the input for the last test case.
    输出For each test case output on a single line the area of the largest rectangle in the specified histogram. Remember that this rectangle must be aligned at the common base line.样例输入7 2 1 4 5 1 3 3 4 1000 1000 1000 1000 0样例输出8 4000

    #include <stdio.h>
    int main()
    {
        int i,n,a[101];
        while(scanf("%d",&n),n!=0)
        {
            for(i=0;i<n;i++)
                scanf("%d",&a[i]);
            int max=0,min=100000;
            for(i=0;i<n;i++卡塔尔(قطر‎   //用i来调控现身些微圆锥形
                for(int j=0;j<=i;j++卡塔尔(قطر‎  //用j来遍历现身长方形的保有景况
                {
                    for(int k=j;k<=i;k++卡塔尔国  //用k来研究全数圆锥形中眇小的高
                    {
                        if(a[k]<min)
                            min=a[k];
                    }
                    if(max<(i-j+1)*min)
                        max=(i-j+1)*min;
                    min=100000;
                }
            printf("%dn",max);
        }
        return 0;
    }
    枚举法

     

    本文由威尼斯官方网站发布于威尼斯官方网站,转载请注明出处:最大长方形

    关键词: