Given an input array A, write a function movprod(A,k,dim) to calculate the moving product over a sliding window of length k along the specified dimension dim of input array A. If dim is omitted, operate along the first non-singleton dimension of A.

Example 1:

    >> A = [1 2 3 4 5 6];
    >> B = movprod(A,3)
    B = 
       6   24   60   120

Example 2:

    >> A = [1     4     3    6    2
            2     5     1    2    3
            3     6     2    3    5];
    >> B = movprod(A,3,2)
    B = 
        12   72   36
        10   10    6
        36   36   30

You may assume that dim <= 3, and the input array A is a non-empty array with size(A,dim) >= k.

Related problems: Problem 429; Problem 246

A kind note (05/15/2017): This problem was created in 2016, one year before R2017a's introduction of the built-in movprod. To avoid function name clash, we've changed the user-defined function name into moveprod in the test-suite, which gives you the opportunity to solve the problem by directly calling the built-in movprod!