Given a number n, Find out what max possible number you can make by deleting exactly k digits.

T : number of test cases <= 10^3.

1 <= number of digits in n <= 10^5. (n might contain leading zeros.)

0 <= k <= n

if value of n is equal to k. then just print a new line.

Input

T: number of test cases.

T lines follow each with n and k.

Output

max possible number.

Example

Input:
2
1223 2
8756 2

Output:
23
87

Explanation

Note that left to right order should be maintained. As in the example given answer is 23 not 32.