2048. Next Greater Numerically Balanced Number
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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.
Given an integer n, return the smallest numerically balanced number strictly greater than n.
Example 1:
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.
Example 2:
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.
Example 3:
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 <= 106
Hints
Hint 1
How far away can the next greater numerically balanced number be from n?
Hint 2
With the given constraints, what is the largest numerically balanced number?