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.

nextBeautifulNumber.js

/**
 * Finds the next "beautiful" number greater than the given input.
 * A beautiful number is defined as one where each digit appears exactly as many times as its value.
 * For example, 22 is beautiful because digit 2 appears twice.
 *
 * @param {number} n - The input number.
 * @return {number} - The next beautiful number greater than n.
 */
var nextBeautifulNumber = function(n) {
    // Precomputed list of beautiful numbers in ascending order.
    // These are numbers where each digit appears exactly as many times as its value.
    const balancedNums = [
        1, 22, 122, 212, 221, 333, 1333, 3133, 3313, 3331, 4444, 14444,
        22333, 23233, 23323, 23332, 32233, 32323, 32332, 33223, 33232,
        33322, 41444, 44144, 44414, 44441, 55555, 122333, 123233, 123323,
        123332, 132233, 132323, 132332, 133223, 133232, 133322, 155555,
        212333, 213233, 213323, 213332, 221333, 223133, 223313, 223331,
        224444, 231233, 231323, 231332, 232133, 232313, 232331, 233123,
        233132, 233213, 233231, 233312, 233321, 242444, 244244, 244424,
        244442, 312233, 312323, 312332, 313223, 313232, 313322, 321233,
        321323, 321332, 322133, 322313, 322331, 323123, 323132, 323213,
        323231, 323312, 323321, 331223, 331232, 331322, 332123, 332132,
        332213, 332231, 332312, 332321, 333122, 333212, 333221, 422444,
        424244, 424424, 424442, 442244, 442424, 442442, 444224, 444242,
        444422, 515555, 551555, 555155, 555515, 555551, 666666, 1224444
    ];

    // Iterate through the list and return the first number greater than n
    for (let i = 0; i < balancedNums.length; i++) {
        if (balancedNums[i] > n) {
            return balancedNums[i];
        }
    }

    // If no number is found (unlikely with current list), return undefined
    return undefined;
};