valid-square

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Algorithms

Given the coordinates of four points in 2D space <code>p1</code>, <code>p2</code>, <code>p3</code> and <code>p4</code>, return <code>true</code> if the four points construct a square.

The coordinate of a point <code>pi</code> is represented as <code>[xi, yi]</code>. The input is not given in any order.

A valid square has four equal sides with positive length and four equal angles (90-degree angles).

&nbsp;
Example 1:

<pre>
Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]
Output: true
</pre>

Example 2:

<pre>
Input: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12]
Output: false
</pre>

Example 3:

<pre>
Input: p1 = [1,0], p2 = [-1,0], p3 = [0,1], p4 = [0,-1]
Output: true
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>p1.length == p2.length == p3.length == p4.length == 2</code></li>
	<li><code>-104 &lt;= xi, yi &lt;= 104</code></li>
</ul>

validSquare

Valid Square

Geometry

Math

给定2D空间中四个点的坐标&nbsp;<code>p1</code>,&nbsp;<code>p2</code>,&nbsp;<code>p3</code>&nbsp;和&nbsp;<code>p4</code>，如果这四个点构成一个正方形，则返回 <code>true</code> 。

点的坐标&nbsp;<code>pi</code> 表示为 <code>[xi, yi]</code> 。 <code>输入没有任何顺序</code> 。

一个 有效的正方形 有四条等边和四个等角(90度角)。

&nbsp;

示例 1:

<pre>
输入: p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,1]
输出: true
</pre>

示例 2:

<pre>
输入：p1 = [0,0], p2 = [1,1], p3 = [1,0], p4 = [0,12]
输出：false
</pre>

示例 3:

<pre>
输入：p1 = [1,0], p2 = [-1,0], p3 = [0,1], p4 = [0,-1]
输出：true
</pre>

&nbsp;

提示:

<ul>
	<li><code>p1.length == p2.length == p3.length == p4.length == 2</code></li>
	<li><code>-104&nbsp;&lt;= xi, yi&nbsp;&lt;= 104</code></li>
</ul>