Next Greater Numerically Balanced Number - Solution & Explanation

This method involves incrementing the number starting from n+1 and checking each number to see if it is numerically balanced. This approach is straightforward but not optimal as it checks each number one by one.

This Python solution defines a helper function is_balanced to verify if a number is numerically balanced using a counter to count digit occurrences. The next_balanced function starts from n+1, checking each number using is_balanced until it finds a valid numerically balanced number.

This approach leverages generating permutations of digits up to a certain limit and checking if they form a numerically balanced number. This method is more efficient as it explores fewer possibilities by restricting digit occurrences.

In this C++ solution, we generate permutations of potential digit arrangements and test if they are numerically balanced. By iterating from smaller numbers, starting at n+1, and verifying digit counts, the code ensures we find the next balanced number efficiently.