1411. Number of Ways to Paint N × 3 Grid Hard

@problem@discussion
#Dynamic Programming



1/**
2 * [1411] Number of Ways to Paint N × 3 Grid
3 *
4 * 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).
5 * 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 10^9 + 7.
6 *  
7 * Example 1:
8 * <img alt="" src="https://assets.leetcode.com/uploads/2020/03/26/e1.png" style="width: 400px; height: 257px;" />
9 * Input: n = 1
10 * Output: 12
11 * Explanation: There are 12 possible way to paint the grid as shown.
12 * 
13 * Example 2:
14 * 
15 * Input: n = 5000
16 * Output: 30228214
17 * 
18 *  
19 * Constraints:
20 * 
21 * 	n == grid.length
22 * 	1 <= n <= 5000
23 * 
24 */
25pub struct Solution {}
26
27// problem: https://leetcode.com/problems/number-of-ways-to-paint-n-3-grid/
28// discuss: https://leetcode.com/problems/number-of-ways-to-paint-n-3-grid/discuss/?currentPage=1&orderBy=most_votes&query=
29
30// submission codes start here
31
32impl Solution {
33    pub fn num_of_ways(n: i32) -> i32 {
34        0
35    }
36}
37
38// submission codes end
39
40#[cfg(test)]
41mod tests {
42    use super::*;
43
44    #[test]
45    fn test_1411() {
46    }
47}
48


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