Samuel owns a shoe factory where there are N different machines operated for N different purposes. Each machine has its own motor. In order to avoid resonance, the rotation speed of any 2 machines should at least differ by 2 units. The rotation speed can only be in integer units and the maximum rotation speed of any motor is X units. Given minimum rotation speed of any motor to be 1 unit, you have to help Sam find out the number of different ways he can configure the speed of the motor. Input Specification: input1: N, denoting the number of machines. input 2X, denoting the maximum speed of the motor. Output Specification: Your function should return the total number of configuration modulus 10^4.
n = int(input('the number of machines: '))
x = int(input('maximum speed of the motor: '))
k = 0
if (2*n-1) <= x:
k = x
for i in range(n-1):
k *= x//(2*(1+i))
print(f'configuration modulus: {k}')
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