790. Domino and Tromino Tiling ⭐
Medium
You have two types of tiles: a
2 x 1
domino shape and a tromino shape. You may rotate these shapes.

Given an integer n, return the number of ways to tile an
2 x n
board. Since the answer may be very large, return it modulo 109 + 7
.In a tiling, every square must be covered by a tile. Two tilings are different if and only if there are two 4-directionally adjacent cells on the board such that exactly one of the tilings has both squares occupied by a tile.
Example 1:

Input: n = 3
Output: 5
Explanation: The five different ways are show above.
Example 2:
Input: n = 1
Output: 1
Constraints:
1 <= n <= 1000