Eqs

Time Limit
5s
Memory Limit
65536KB
Judge Program
Standard
Ratio(Solve/Submit)
0.00%(0/0)
Description:

Consider equations having the following form:
a1x13+ a2x23+ a3x33+ a4x43+ a5x53=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.

Input:

The only line of input contains the 5 coefficients a1, a2, a3, a4, a5, separated by blanks.

Output:

The output will contain on the first line the number of the solutions for the given equation.

Sample Input:
37 29 41 43 47
Sample Output:
654

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