Given N, count the number of ways to express N as sum of 1, 3 and 4 modulo (109+7).
Example 1:
Input: N = 1 Output: 1 Explanation: There is only one way to represent 1 as sum of 1,3 and 4. 1 = {1}.
Example 2:
Input: N = 3 Output: 2 Explanation: There is 2 ways to represent 3 as sum of 1,3 and 4. 3 = {1,1,1}, and 3 = {3}.
Your Task:
You don't need to read input or print anything. Your task is to complete the function countWays() which takes a Integer N as input and returns the number of ways possible.
Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)
Constraints:
1 <= N <= 105