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Maximum Value after Insertion

You are given a very large integer n, represented as a string,​​​​​​ and an integer digit x.

You are given a very large integer n, represented as a string,​​​​​​ and an integer digit x. The digits in n and the digit x are in the inclusive range [1, 9], and n may represent a negative number.

You want to maximize n's numerical value by inserting x anywhere in the decimal representation of n​​​​​​. You cannot insert x to the left of the negative sign.

Return a string representing the maximum value of n​​​​​​ after the insertion.

Maximum Value after Insertion diagram

Example 1

Input: n = "99", x = 9

Output: "999"

Explanation: The result is the same regardless of where you insert 9.

Example 2

Input: n = "-13", x = 2

Output: "-123"

Explanation: You can make n one of {-213, -123, -132}, and the largest of those three is -123.

Constraints

  • 1 <= n.length <= 10^5
  • 1 <= x <= 9
  • The digits in n​​​ are in the range [1, 9].
  • n is a valid representation of an integer.
  • In the case of a negative n,​​​​​​ it will begin with '-'.

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