Consider equations having the following form:
a1x1
3+ a2x2
3+ a3x3
3+ a4x4
3+ a5x5
3=0
The coefficients are given integers from the interval [-50,50].
It is consider a solution a system (x1, x2, x3, x4, x5) that verifies the equation, xi∈[-50,50], xi != 0, any i∈{1,2,3,4,5}.
Determine how many solutions satisfy the given equation.
The only line of input contains the 5 coefficients a1, a2, a3, a4, a5, separated by blanks.
The output will contain on the first line the number of the solutions for the given equation.