Given an integer N with D digits without any leading zeroes. Find the largest number which can be obtained by deleting exactly K digits from the number N.

Note

• Return the largest number without any leading zeroes.

Input format

• First line contains integer N.
• Second line contains integer K.

Output format

Return the largest number which can be obtained by deleting exactly K digits from the number N.

Constraints

$N > 0 \\ 1 \le D \le 10^6 \\ 0 \le K < D$