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 `s` is arithmetic if and only if `s[i+1] - s[i] == s[1] - s[0]` for all valid `i`.

For example, these are arithmetic sequences:

    1, 3, 5, 7, 9
    7, 7, 7, 7
    3, -1, -5, -9

The following sequence is not arithmetic:

    1, 1, 2, 5, 7

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

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

Example 1:

    Input: nums = [4,6,5,9,3,7], l = [0,0,2], r = [2,3,5]
    Output: [true,false,true]
    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 [5,9,3,7]. This can be rearranged as [3,5,7,9], which is an arithmetic sequence.

Example 2:

    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]

Constraints:

- `n == nums.length`
- `m == l.length`
- `m == r.length`
- `2 <= n <= 500`
- `1 <= m <= 500`
- `0 <= l[i] < r[i] < n`
- `-105 <= nums[i] <= 105`