Kth Prime factor of a Number
Submissions: 1995   Accuracy:

24.86%

  Difficulty: Easy   Marks: 2

Given two numbers n and k, print Kth prime factor among all prime factors of n. 

Note: if k > all the count of prime factor of n, then print -1

Input:

The first line of input contains an integer denoting the no of test cases. Then T test cases follow. Each test case contains two space seperated integers n and k respectively.
Output:

For each test case ouput a simple line containing a single integer denoting kth prime factor of n. 
Constraints:

1<=T<=100
0<=N<=104
1<=K<=50
Example:

Input:

2
225 2
81 5

Ouput:

3
-1

Explanation:

Test Case 1:  n=225 and k=2

Prime factor of 225 are: 3,3,5,5

Kth prime factor is 3

Test Case 2: n=81 and k=5

Prime factor of 81 is 3,3,3,3

since k is greater than all the count of prime factor, hence we print -1

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

Author: harshitsidhwa


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