can-make-arithmetic-progression-from-sequence

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Algorithms

A sequence of numbers is called an arithmetic progression if the difference between any two consecutive elements is the same.

Given an array of numbers <code>arr</code>, return <code>true</code> if the array can be rearranged to form an arithmetic progression. Otherwise, return <code>false</code>.

&nbsp;
Example 1:

<pre>
Input: arr = [3,5,1]
Output: true
Explanation: We can reorder the elements as [1,3,5] or [5,3,1] with differences 2 and -2 respectively, between each consecutive elements.
</pre>

Example 2:

<pre>
Input: arr = [1,2,4]
Output: false
Explanation: There is no way to reorder the elements to obtain an arithmetic progression.
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>2 &lt;= arr.length &lt;= 1000</code></li>
	<li><code>-106 &lt;= arr[i] &lt;= 106</code></li>
</ul>

canMakeArithmeticProgression

Can Make Arithmetic Progression From Sequence

Arithmetic Subarrays

arithmetic-subarrays

等差子数组

Array

Sorting

给你一个数字数组 <code>arr</code> 。

如果一个数列中，任意相邻两项的差总等于同一个常数，那么这个数列就称为 等差数列 。

如果可以重新排列数组形成等差数列，请返回 <code>true</code> ；否则，返回 <code>false</code> 。

&nbsp;

示例 1：

<pre>输入：arr = [3,5,1]
输出：true
解释：对数组重新排序得到 [1,3,5] 或者 [5,3,1] ，任意相邻两项的差分别为 2 或 -2 ，可以形成等差数列。
</pre>

示例 2：

<pre>输入：arr = [1,2,4]
输出：false
解释：无法通过重新排序得到等差数列。
</pre>

&nbsp;

提示：

<ul>
	<li><code>2 &lt;= arr.length &lt;= 1000</code></li>
	<li><code>-10^6 &lt;= arr[i] &lt;= 10^6</code></li>
</ul>