There are two integers N and K. Walter wants to choose a starting positive integer A, create the sequence (A, A+K, A+2·K,...,A+(N-1)·K) and compute the product of all elements of this sequence; let's...

Extracted text: There are two integers N and K. Walter wants to choose a starting positive integer A, create the sequence (A, A+K, A+2·K,...,A+(N-1)·K) and compute the product of all elements of this sequence; let's denote this product by X. For example, if N=3 and K=2, then Walter can create the sequence (4,6,8), for which X=192. Develop a python code to find the largest integer that divides X regardless of the value of A that Walter chooses. Because the answer can be large, compute it modulo 10°+7. Sample Input: 31 Sample Output: