<p>Given an array <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 <code>true</code> <em>if these points are a <strong>boomerang</strong></em>.</p>

<p>A <strong>boomerang</strong> is a set of three points that are <strong>all distinct</strong> and <strong>not in a straight line</strong>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre><strong>Input:</strong> points = [[1,1],[2,3],[3,2]]
<strong>Output:</strong> true
</pre><p><strong class="example">Example 2:</strong></p>
<pre><strong>Input:</strong> points = [[1,1],[2,2],[3,3]]
<strong>Output:</strong> false
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>points.length == 3</code></li>
	<li><code>points[i].length == 2</code></li>
	<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 100</code></li>
</ul>

class Solution:
    def isBoomerang(self, points: List[List[int]]) -> bool:
        return (points[1][1]-points[0][1])*(points[2][0]-points[1][0]) != (points[2][1]-points[1][1])*(points[1][0]-points[0][0])
       
16400