The Prime Twins
Submissions: 537   Accuracy:

41.91%

  Difficulty: Easy   Marks: 2

Given two positive numbers L and R (L < R), find out the smallest twins in the range [L , R].Two numbers are twins if they are prime numbers and there difference is 2.

Input
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. 
The first line of each test case contains two positve integers L and R (L < R), denoting the range [L < R].


Output
Print out the smallest twins in the given range. If no such twins exist, then print -1.

 

Constraints
1 <= T <= 200
0 <= L <= 500
0 <   R <= 1000

Examples 

Input
4
10 100
20 50
850 900
15 18

Output
11 13
29 31
857 859
-1

 

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

Author: Rohan Malhotra


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