Assume the coasting is an infinite straight line. Land is in one side of coasting, sea in the other.

本文通过C++实现了一个解决区间覆盖问题的算法。该算法首先读取一系列圆心坐标及半径,计算出每个圆在X轴上的覆盖区间,并对其进行排序。接着遍历这些区间,尽可能地使用最少数量的区间来覆盖所有区域。如果存在无法被覆盖的情况,则输出不可行。
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#include<stdio.h>
#include<iostream>
#include<stdio.h>
#include<cmath>
#include<algorithm>
using namespace std;


struct frame
{
    double x;
    double y;
}c[1001];
struct range
{
    double l, r;
}g[1001];


bool cmp(range a, range b)
{
    return a.l<b.l;
}


int main()
{
    int n, d, i;
    int Case = 0;
    while(~scanf("%d%d", &n, &d))
    {
        if(n==0&&d==0)
            break;


        int sum = 1;
        for(i=0; i<n; i++)
        {
            scanf("%lf%lf", &c[i].x, &c[i].y);
            g[i].l = c[i].x - sqrt(d*d-c[i].y*c[i].y);
            g[i].r = c[i].x + sqrt(d*d-c[i].y*c[i].y);
            if(c[i].y>d|| d<=0 || c[i].y<0) sum = -1;
        }
        sort(g, g+n, cmp);


        double m = g[0].r;
        for(i=1; i<n&&sum!=-1; i++)
        {
            if(m < g[i].l)
            {
                sum++;
                m = g[i].r;
            }
            else if(m > g[i].r)
                m = g[i].r;
        }
        printf("Case %d: %d\n", ++Case, sum);
    }
    return 0;
}

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1328:Radar Installation 查看 提交 统计 提示 提问 总时间限制: 1000ms 内存限制: 65536kB 描述 Assume the coasting is an infinite straight line. Land is in one side of coasting, sea in the other. Each small island is a point locating in the sea side. And any radar installation, locating on the coasting, can only cover d distance, so an island in the sea can be covered by a radius installation, if the distance between them is at most d. We use Cartesian coordinate system, defining the coasting is the x-axis. The sea side is above x-axis, and the land side below. Given the position of each island in the sea, and given the distance of the coverage of the radar installation, your task is to write a program to find the minimal number of radar installations to cover all the islands. Note that the position of an island is represented by its x-y coordinates. Figure A Sample Input of Radar Installations 输入 The input consists of several test cases. The first line of each case contains two integers n (1<=n<=1000) and d, where n is the number of islands in the sea and d is the distance of coverage of the radar installation. This is followed by n lines each containing two integers representing the coordinate of the position of each island. Then a blank line follows to separate the cases. The input is terminated by a line containing pair of zeros 输出 For each test case output one line consisting of the test case number followed by the minimal number of radar installations needed. "-1" installation means no solution for that case. 生成c语言代码
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