You are given a string num, representing a large integer. Return the largest-valued odd integer (as a string) that is a non-empty substring of num, or an empty string "" if no odd integer exists.
A substring is a contiguous sequence of characters within a string.
Example 1:
Input: num = "52" Output: "5" Explanation: The only non-empty substrings are "5", "2", and "52". "5" is the only odd number.
Example 2:
Input: num = "4206" Output: "" Explanation: There are no odd numbers in "4206".
Example 3:
Input: num = "35427" Output: "35427" Explanation: "35427" is already an odd number.
Constraints:
1 <= num.length <= 105numonly consists of digits and does not contain any leading zeros.