Given n points on a 2D plane, find the maximum number of points that lie on the same straight line.
#include <iostream>
#include <vector>
#include <map>
using namespace std;
struct Point{
int x;
int y;
Point(): x(0),y(0){}
Point(int a,int b):x(a),y(b){}
};
int maxPoints(vector<Point> &points){
map<float,int> Points_k;
int maxNum = 0;
float k ;
for(int i = 0 ; i < (signed)points.size() ; ++i){
Points_k.clear();
Points_k[INT_MIN] = 0;
int num = 1;
for(int j = 0; j < (signed)points.size() ; ++j){
if( j == i){
continue ;
}
if(points.at(i).x == points.at(j).x && points.at(i).y == points.at(j).y){
num++;
continue ;
}
k = points[i].x == points[j].x ? INT_MAX : (float)(points[j].y - points[i].y)/(points[j].x - points[i].x);
Points_k[k]++;
}
map<float,int>::iterator iter;
for(iter = Points_k.begin();iter != Points_k.end(); iter++){
if(iter->second+num > maxNum){
maxNum = iter->second + num;
}
}
}
return maxNum;
}
int main(){
Point array[] = {Point(1,1),Point(2,2),Point(0,0),Point(50,-17)};
vector<Point> points(array,array+4);
cout<<maxPoints(points)<<endl;
return 0;
}