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Solution: Largest Number After Digit Swaps by Parity

Explore how to rearrange the digits of a positive integer to form the largest possible number by swapping digits only within the same parity group. This lesson teaches the use of max-heaps to efficiently select the largest digits for odd and even positions, ensuring an optimal solution with detailed complexity analysis.

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 ...