Description
There are a lot of monkeys in a mountain. Every one wants to be the monkey king. They keep arguing with each other about that for many years. It is your task to help them solve this problem.
Problem
Monkeys live in different places of the mountain. Let a point (x, y) in the X-Y plane denote the location where a monkey lives. There are no two monkeys living at the same point. If a monkey lives at the point (x0, y0), he can be the king only if there is no monkey living at such point (x, y) that x>=x0 and y>=y0. For example, there are three monkeys in the mountain: (2, 1), (1, 2), (3, 3). Only the monkey that lives at the point (3,3) can be the king. In most cases, there are a lot of possible kings. Your task is to find out all of them.
Input
Output
Sample Input
3
2 1
1 2
3 3
3
0 1
1 0
0 0
4
0 0
1 0
0 1
1 1
0
Sample Output
1
2
1
题目大意:讲述 的就是猴王的选拔,这里定义了一个规则,猴子的坐标(x0,y0)不存在任意(x,y)使得==x>x0&&y>y0,则他为KING,记录KING的个数
题目分析:结构体的排序判断
重点及注意事项:1.要理解题目意思不是选择猴王,而是有机会成为猴王的猴子的个数;
2.==x>x0&&y>y0,的判断也就是最核心的部分
AC源代码:----旨在参考与交流
#include<stdio.h>
#include<algorithm>
using namespace std;
struct point
{
int x;
int y;
}
monkey[50001];
bool cmp(point a,point b)
{
if(a.x==b.x)
return a.y<b.y;
return a.x<b.x; //对坐标点按X升序排列
}
int main()
{
int n;
while(scanf("%d",&n)!=EOF&&n!=0)
{
int i;
for(i=0;i<n;i++)
scanf("%d%d",&monkey[i].x,&monkey[i].y);
sort(monkey,monkey+n,cmp);
int kingX=monkey[n-1].x; //将最大X付给kingX(必为猴王候选人)
int kingY=monkey[n-1].y; //因为X以最大所以只有Y>kingY才有可能是猴王
int sum=1;//注意sum的初值
for(i=n-1;i>=0;i--)
{
if(monkey[i].x==kingX)//************
continue;
if(monkey[i].x<kingX)
{
kingX=monkey[i].x;
if(monkey[i].y>kingY)
{
sum++;
kingY=monkey[i].y;//最核心的部分,猴王判断条件
}
}
}
printf("%d\n",sum);
}
return 0;
}
运行结果如下
心得:当然这道题deAC并不像博客里写的哪门一帆风顺,学到了就主要的就是如何分析数据找到有效可行的方法。
--------------------------------- AC终将上演