Number of ZigZag Arrays I

Description

You are given three integers n, l, and r.

A ZigZag array of length n is defined as follows:

- Each element lies in the range [l, r].

- No two adjacent elements are equal.

- No three consecutive elements form a strictly increasing or strictly decreasing sequence.

Return the total number of valid ZigZag arrays.

Since the answer may be large, return it modulo 109 + 7.

A sequence is said to be strictly increasing if each element is strictly greater than its previous one (if exists).

A sequence is said to be strictly decreasing if each element is strictly smaller than its previous one (if exists).