You have a string of decimal digits s. Let's define b_ij=s_i·s_j. Find in matrix b the number of such rectangles that the sum b_ij for all cells (i,j) that are the elements of the rectangle equals a in each rectangle.

A rectangle in a matrix is a group of four integers (x,y,z,t) (x≤y,z≤t). The elements of the rectangle are all cells (i,j) such that x≤i≤y,z≤j≤t.

The first line contains integer a (0≤a≤10⁹), the second line contains a string of decimal integers s (1≤|s|≤4000).

Print a single integer − the answer to a problem.

Please, do not write the %lld specifier to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specifier.