Breaking the leaderboard#1890

Breaking the leaderboard

1 second
64 megabytes
Medium

Hacker Vasya is annoyed that Kolya holds the top spot on the leaderboard of Petryk's game. Using a clever trick, Vasya managed to manipulate the scoreboard to display a number next to his name, determined by the game's machine code. However, to make this number look more plausible, he decided to remove several digits from it so that the remaining number is as large as possible.

Help Vasya determine the largest possible number he can obtain after deleting the specified number of digits.

Input

The first line contains two integers and (0 \leq k < N \leq 300000), where is the number of digits in the original number, and is the number of digits to be removed.

The second line contains the original natural number consisting of digits.

Output

Print the largest number Vasya can obtain in a single line.

Examples

Example 1

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