3699. Number of ZigZag Arrays I
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).