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. For example, if n = 73 and x = 6, it would be best to insert it between 7 and 3, making n = 763. If n = -55 and x = 2, it would be best to insert it before the first 5, making n = -255. Return a string representing the maximum value of n after the insertion.
Input Format
Input and output are managed for you. Just complete the function.
Output Format
Input and output are managed for you. Just complete the function.
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 '-'.
Notice
NA
Example
Input
99 9
Output
999