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Solution: Largest Number After Digit Swaps by Parity

Learn how to create the largest number possible by swapping digits only within the same parity group using heaps. This lesson guides you through an algorithm that uses separate max-heaps for odd and even digits, allowing efficient selection of the largest digits during reconstruction. Understand the time and space complexity analysis as you apply heaps to optimize digit rearrangement problems.

Statement

You are given a positive integer num. You can swap any two digits of num as long as they share the same parity (both are odd or both are even).

Your task is to return the largest possible value of num after performing any number of such swaps.

Constraints:

  • 11 \leq num 109\leq 10^9 ...