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  • [LeetCode] Max Points on a Line

    Given n points on a 2D plane, find the maximum number of points that lie on the same straight line.

    Solution:

    /**
     * Definition for a point.
     * struct Point {
     *     int x;
     *     int y;
     *     Point() : x(0), y(0) {}
     *     Point(int a, int b) : x(a), y(b) {}
     * };
     */
    class Solution {
    public:
        double PI = 3.1415926;
        
        double computeAngle(int x, int y, int xx, int yy)
    {
      if(x == xx)
      {
        if(y == yy)
          return 2 * PI;
        else
          return PI;
      }
      else
        return atan((double)(yy - y) / (xx - x));
    }
    
    int maxPoints(vector<Point> &points) {
            int n = points.size();
            if(n <= 2) return n;
            double **angle = new double*[n + 1];
            int **visited = new int*[n + 1];
            for(int i = 0;i < n;i++)
            {
             angle[i] = new double[n + 1];
             visited[i] = new int[n + 1];
            }
            for(int i = 0;i < n;i++)
             {
              memset(visited[i], 0, (n + 1) * sizeof(int));
              for(int j = i;j < n;j++)
               angle[i][j] = angle[j][i] = computeAngle(points[i].x, points[i].y, points[j].x, points[j].y);
             }
            int max = 2;
            for(int i = 0;i < n;i++)
            {
              for(int j = 0;j < n;j++)
              {
                if(i == j || visited[i][j] == 1) continue;
                visited[i][j] = 1;
                //define a line by point i and j
                double curAngle = angle[i][j];
                int curNum = 2;
                for(int k = 0;k < n;k++)
                {
                  if(i != k && j != k)
                  {
                   if(curAngle == 2 * PI)
                   {
                    if(angle[i][k] == 2 * PI || angle[j][k] == 2 * PI)
                    {
                     curNum++;
                    }
                    else
                    {
                      curNum++;
                      curAngle = angle[i][k];
                      visited[i][k] = visited[j][k] = visited[k][j] = visited[k][i] = 1;
                    }
                   }
                   else
                   {
                      if(angle[i][k] == curAngle)
                      {
                        curNum++;
                        visited[i][k] = visited[j][k] = visited[k][j] = visited[k][i] = 1;
                      }
                   }     
                  }
                }
              //  cout << i << " " << j << " :" <<curNum << endl;
                max = (curNum > max) ? curNum : max;
              }
            }
            return max;
        }
    };
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  • 原文地址:https://www.cnblogs.com/changchengxiao/p/3671853.html
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