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Minimum Possible Integer After at Most K Adjacent Swaps On Digits

You are given a string num representing the digits of a very large integer and an integer k.

You are given a string num representing the digits of a very large integer and an integer k. You are allowed to swap any two adjacent digits of the integer at most k times.

Return the minimum integer you can obtain also as a string.

Minimum Possible Integer After at Most K Adjacent Swaps On Digits diagram

Example 1

Input: num = "4321", k = 4

Output: "1342"

Explanation: The steps to obtain the minimum integer from 4321 with 4 adjacent swaps are shown.

Example 2

Input: num = "100", k = 1

Output: "010"

Explanation: It's ok for the output to have leading zeros, but the input is guaranteed not to have any leading zeros.

Example 3

Input: num = "36789", k = 1000

Output: "36789"

Explanation: We can keep the number without any swaps.

Constraints

  • 1 <= num.length <= 3 * 10^4
  • num consists of only digits and does not contain leading zeros.
  • 1 <= k <= 10^9

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