Next Greater Numerically Balanced Number
An integer x is numerically balanced if for every digit d in the number x, there are exactly d occurrences of that digit in x.
Provided an integer n, produce the smallest numerically balanced number strictly greater than n.
Input: n = 1
Output: 22
Explanation: 22 is numerically balanced since:
- The digit 2 occurs 2 times.
It is also the smallest numerically balanced number strictly greater than 1.
Input: n = 1000
Output: 1333
Explanation: 1333 is numerically balanced since:
-
The digit 1 occurs 1 time.
-
The digit 3 occurs 3 times.
It is also the smallest numerically balanced number strictly greater than 1000.
Note that 1022 cannot be the answer because 0 appeared more than 0 times.
Input: n = 3000
Output: 3133
Explanation: 3133 is numerically balanced since:
-
The digit 1 occurs 1 time.
-
The digit 3 occurs 3 times.
It is also the smallest numerically balanced number strictly greater than 3000.
Constraints
0 <= n <= 10^6
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