Solution: Next Permutation

Statement

Your task is to rearrange an array, nums, containing positive integers to form the next lexicographically greater permutationA permutation of an array of integers refers to any ordering of its elements into a sequence or linear arrangement.. This means finding the next permutation in the sequence of all possible arrangements sorted in dictionary order.

For example, given the array $[4, 5, 6]$, the next permutation is $[4, 6, 5]$. In the same way, $[5, 6, 4]$ becomes $[6, 4, 5]$ ...