Pasha Maximizes

Pasha has a positive integer a without leading zeroes. Today he decided that the number is too small and he should make it larger. Unfortunately, the only operation Pasha can do is to swap two adjacent decimal digits of the integer.

Help Pasha count the maximum number he can get if he has the time to make at most k swaps.

Input

The single line contains two integers a and k (1 ≤ a ≤ 1018; 0 ≤ k ≤ 100).

Output

Print the maximum number that Pasha can get if he makes at most k swaps.

Examples

Input

1990 1

Output

9190

Input

300 0

Output

300

Input

1034 2

Output

3104

Input

9090000078001234 6

Output

9907000008001234

inputFormat

Input

The single line contains two integers a and k (1 ≤ a ≤ 1018; 0 ≤ k ≤ 100).

outputFormat

Output

Print the maximum number that Pasha can get if he makes at most k swaps.

Examples

Input

1990 1

Output

9190

Input

300 0

Output

300

Input

1034 2

Output

3104

Input

9090000078001234 6

Output

9907000008001234

样例

1990 1

9190

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