 Express as sum of power of natural numbers
##### Submissions: 2257   Accuracy: 49.59%   Difficulty: Medium   Marks: 4

Given two numbers X and N, find out the total number of ways X can be expressed as sum of Nth power of unique natural numbers.

Examples:

```Input  : X = 10, N = 2
Output : 1
Explanation: 10 = 12 + 32,
Hence total 1 possibility

Input  : X = 100, N = 2
Output : 3
Explanation: 100 = 102
OR 62 + 82
OR 12 + 32 + 42 + 52 + 72
Hence total 3 possibilities

```

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains a single line containing two space seperated integers denoting the values of X and N respectively.

Output:
For each test case output a new line containing a single integer denoting the total number of ways X can be expressed as sum of Nth power of unique natural numbers.

Constraints:
1<=T<=100
1<=X<=103
1<=N<=5

Example:
Input:
2
10 2
100 2

Output:
1
3

#### ** For More Input/Output Examples Use 'Expected Output' option **

Author: harshitsidhwa

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