<p>Given an array of <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> represents a point on the <strong>X-Y</strong> plane, return <em>the maximum number of points that lie on the same straight line</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/25/plane1.jpg" style="width: 300px; height: 294px;" />
<pre>
<strong>Input:</strong> points = [[1,1],[2,2],[3,3]]
<strong>Output:</strong> 3
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/02/25/plane2.jpg" style="width: 300px; height: 294px;" />
<pre>
<strong>Input:</strong> points = [[1,1],[3,2],[5,3],[4,1],[2,3],[1,4]]
<strong>Output:</strong> 4
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= points.length &lt;= 300</code></li>
	<li><code>points[i].length == 2</code></li>
	<li><code>-10<sup>4</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>4</sup></code></li>
	<li>All the <code>points</code> are <strong>unique</strong>.</li>
</ul>

from collections import defaultdict
class Solution:
    def maxPoints(self, points: List[List[int]]) -> int:
        lp, maxpoints = len(points), 1
        if lp ==1: return maxpoints
        slopes = [defaultdict(int) for _ in range(lp)]
        for i in range(lp):
            x1, y1 = points[i][0], points[i][1]
            for j in range(lp):
                if j != i:
                    x2, y2 = points[j][0], points[j][1]
                    if x1 == x2 and y1 == y2:
                        slope = "0"
                    if x1 == x2:
                        slope = str(x1) + "v"
                    elif y1 == y2:
                        slope = str(y1) + "h"
                    elif j > i:
                        slope = str(round((y2-y1) / (x2-x1), 10))
                    else:
                        slope = str(round((y1-y2) / (x1-x2), 10))
                    slopes[i][slope] += 1
                    maxpoints = max(maxpoints, slopes[i][slope])
        # print(slopes)
        return maxpoints + 1
24073