1411.

Number of Ways to Paint N × 3 Grid

Hard

You have a grid of size n x 3 and you want to paint each cell of the grid with exactly one of the three colors: Red, Yellow, or Green while making sure that no two adjacent cells have the same color (i.e., no two cells that share vertical or horizontal sides have the same color). Given n the number of rows of the grid, return the number of ways you can paint this grid. As the answer may grow large, the answer must be computed modulo 109 + 7. Example 1: Input: n = 1 Output: 12 Explanation: There are 12 possible way to paint the grid as shown. Example 2: Input: n = 2 Output: 54 Example 3: Input: n = 3 Output: 246 Example 4: Input: n = 7 Output: 106494 Example 5: Input: n = 5000 Output: 30228214 Constraints: n == grid.length grid[i].length == 3 1 <= n <= 5000