POJ2606,Rabbit hunt,同斜率,照抄1118

本文探讨如何在有限的射击次数内,通过精确计算实现猎杀最多数量的兔子,提供了一种数学和几何原理相结合的解决方案,旨在提高狩猎效率。

Rabbit hunt

Description

A good hunter kills two rabbits with one shot. Of course, it can be easily done since for any two points we can always draw a line containing the both. But killing three or more rabbits in one shot is much more difficult task. To be the best hunter in the world one should be able to kill the maximal possible number of rabbits. Assume that rabbit is a point on the plane with integer x and y coordinates. Having a set of rabbits you are to find the largest number K of rabbits that can be killed with single shot, i.e. maximum number of points lying exactly on the same line. No two rabbits sit at one point.

Input

An input contains an integer N (2<=N<=200) specifying the number of rabbits. Each of the next N lines in the input contains the x coordinate and the y coordinate (in this order) separated by a space (-1000<=x,y<=1000).

Output

The output contains the maximal number K of rabbits situated in one line.

Sample Input

6
7 122
8 139
9 156
10 173
11 190
-100 1

Sample Output

5

code:

#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#define MAX 700
using namespace std;
typedef struct point
{
    int x,y;
}point;
point p[MAX+5];
int main()
{
    int n,i,j,num,tmp;
    scanf("%d",&n);
    num=0;
    for(i=0;i<n;i++)
        scanf("%d %d",&p[i].x,&p[i].y);
    for(i=0;i<n;i++)
        for(j=i+1;j<n;j++)
        {
            tmp=0;
            for(int k=j+1;k<n;k++)
            if((p[i].x-p[k].x)*(p[j].y-p[k].y)==(p[j].x-p[k].x)*(p[i].y-p[k].y))
                tmp++;
            if(tmp>num) num=tmp;
        }
    num+=2;
    printf("%d\n",num);
    return 0;
}


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