arithmetic-subarrays

Arithmetic Subarrays

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checkArithmeticSubarrays

A sequence of numbers is called arithmetic if it consists of at least two elements, and the difference between every two consecutive elements is the same. More formally, a sequence <code>s</code> is arithmetic if and only if <code>s[i+1] - s[i] == s[1] - s[0] </code>for all valid <code>i</code>.

For example, these are arithmetic sequences:

<pre>
1, 3, 5, 7, 9
7, 7, 7, 7
3, -1, -5, -9</pre>

The following sequence is not arithmetic:

<pre>
1, 1, 2, 5, 7</pre>

You are given an array of <code>n</code> integers, <code>nums</code>, and two arrays of <code>m</code> integers each, <code>l</code> and <code>r</code>, representing the <code>m</code> range queries, where the <code>ith</code> query is the range <code>[l[i], r[i]]</code>. All the arrays are 0-indexed.

Return a list of <code>boolean</code> elements <code>answer</code>, where <code>answer[i]</code> is <code>true</code> if the subarray <code>nums[l[i]], nums[l[i]+1], ... , nums[r[i]]</code> can be rearranged to form an arithmetic sequence, and <code>false</code> otherwise.

&nbsp;
Example 1:

<pre>
Input: nums = <code>[4,6,5,9,3,7]</code>, l = <code>[0,0,2]</code>, r = <code>[2,3,5]</code>
Output: <code>[true,false,true]</code>
Explanation:
In the 0th query, the subarray is [4,6,5]. This can be rearranged as [6,5,4], which is an arithmetic sequence.
In the 1st query, the subarray is [4,6,5,9]. This cannot be rearranged as an arithmetic sequence.
In the 2nd query, the subarray is <code>[5,9,3,7]. This</code> can be rearranged as <code>[3,5,7,9]</code>, which is an arithmetic sequence.</pre>

Example 2:

<pre>
Input: nums = [-12,-9,-3,-12,-6,15,20,-25,-20,-15,-10], l = [0,1,6,4,8,7], r = [4,4,9,7,9,10]
Output: [false,true,false,false,true,true]
</pre>

&nbsp;
Constraints:

<ul>
	<li><code>n == nums.length</code></li>
	<li><code>m == l.length</code></li>
	<li><code>m == r.length</code></li>
	<li><code>2 &lt;= n &lt;= 500</code></li>
	<li><code>1 &lt;= m &lt;= 500</code></li>
	<li><code>0 &lt;= l[i] &lt; r[i] &lt; n</code></li>
	<li><code>-105 &lt;= nums[i] &lt;= 105</code></li>
</ul>

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