Given an integer N and an integer D, you are required to write a program to rotate the binary representation of the integer N by D digits to the left as well as right and print the results in decimal values after each of the rotation.

Note: Integer N is stored using 16 bits. i.e. 12 will be stored as 0000.....001100.

Input:
First line of input contains a single integer T which denotes the number of test cases. Each test case contains two space separated integers N and D where N denotes the number to be rotated and D denotes the number of digits by which the number is required to be rotated.

Output:
For first line of each test case prints the value of number N after rotating it to left by D digits and  second line prints the value of number N after rotating it to the right by D digits.

Constraints:
1<=T<=100
1<=N< 2¹⁶
1<=D<=10⁵

Example:
Input:
2
229 3
28 2
Output:
1832
40988
112
7

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