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Solution: Largest Number After Digit Swaps by Parity

Explore how to transform a positive integer into its largest possible form by swapping digits that share the same parity, using max-heaps to efficiently manage odd and even digits. Understand the step-by-step algorithm that organizes digits into parity-based heaps and reconstructs the number to maximize its value while honoring parity constraints. This lesson covers the implementation details, time and space complexity analyses, and practical application of heaps for digit manipulation.

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

Solution

The algorithm rearranges the digits of a given integer ...