Find the number of ways that a given integer, x, can be expressed as the sum of the N^(th) powers of unique, natural numbers. For example, if x=13 and N=2, we have to find all combinations of unique squares adding up to The only solution is 2^(2)+3^(2). Function Description Complete the power Sum function in the editor below. It should return an i solutionspile.com

Question

Find the number of ways that a given integer,

x

, can be expressed as the sum of the

N^(th)

powers of unique, natural numbers. For example, if

x=13

and

N=2

, we have to find all combinations of unique squares adding up to The only solution is

2^(2)+3^(2)

. Function Description Complete the power Sum function in the editor below. It should return an integer that represents the number of possible combinations. powerSum has the following parameter(s):

x

: the integer to sum to

N

: the integer power to raise numbers to Input Format The first line contains an integer

x

. The second line contains an integer

N

. Constraints

1<=x<=1000

2<=N<=10

Output Format Output a single integer, the number of possible combinations caclulated. Solve the problem in Python Programming Language

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