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Formatted question description: https://leetcode.ca/all/2048.html

2048. Next Greater Numerically Balanced Number (Medium)

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

Solution 1. Brute Force

  • // OJ: https://leetcode.com/problems/next-greater-numerically-balanced-number/
    // Time: O(C * logC) where `C` is the maximum possible input number.
    // Space: O(1)
    class Solution {
        bool balance(int n) {
            int cnt[10] = {};
            while (n) {
                if (n % 10 == 0) return false; // no 0 allowed
                cnt[n % 10]++;
                n /= 10;
            }
            for (int i = 1; i < 10; ++i) {
                if (cnt[i] && cnt[i] != i) return false;
            }
            return true;
        }
    public:
        int nextBeautifulNumber(int n) {
            while (true) {
                ++n;
                if (balance(n)) return n;
            }
        }
    };
    
  • class Solution:
        def nextBeautifulNumber(self, n: int) -> int:
            def check(num):
                counter = [0] * 10
                for c in str(num):
                    counter[int(c)] += 1
    
                for c in str(num):
                    if counter[int(c)] != int(c):
                        return False
                return True
    
            for i in range(n + 1, 10**7):
                if check(i):
                    return i
            return -1
    
    ############
    
    # 2048. Next Greater Numerically Balanced Number
    # https://leetcode.com/problems/next-greater-numerically-balanced-number
    
    class Solution:
        def nextBeautifulNumber(self, n: int) -> int:
            n += 1
            c = Counter(str(n))
            
            def good(c):
                for k, v in c.items():
                    if int(k) != v:
                        return False
                
                return True
            
            while not good(c):
                n += 1
                c = Counter(str(n))
            
            return n
    
    
  • class Solution {
        public int nextBeautifulNumber(int n) {
            for (int i = n + 1; i < 10000000; ++i) {
                if (check(i)) {
                    return i;
                }
            }
            return -1;
        }
    
        private boolean check(int num) {
            int[] counter = new int[10];
            char[] chars = String.valueOf(num).toCharArray();
            for (char c : chars) {
                ++counter[c - '0'];
            }
            for (char c : chars) {
                if (counter[c - '0'] != c - '0') {
                    return false;
                }
            }
            return true;
        }
    }
    
  • func nextBeautifulNumber(n int) int {
    	check := func(num int) bool {
    		s := strconv.Itoa(num)
    		counter := make([]int, 10)
    		for _, c := range s {
    			counter[int(c-'0')]++
    		}
    		for _, c := range s {
    			if counter[int(c-'0')] != int(c-'0') {
    				return false
    			}
    		}
    		return true
    	}
    
    	for i := n + 1; i <= 10000000; i++ {
    		if check(i) {
    			return i
    		}
    	}
    	return -1
    }
    
  • function nextBeautifulNumber(n: number): number {
        for (let ans = n + 1; ; ans++) {
            if (isValid(ans)) {
                return ans;
            }
        }
    }
    
    function isValid(n: number): boolean {
        let record = new Array(10).fill(0);
        while (n > 0) {
            const idx = n % 10;
            record[idx]++;
            n = Math.floor(n / 10);
        }
        for (let i = 0; i < 10; i++) {
            if (record[i] && record[i] != i) return false;
        }
        return true;
    }
    
    

Discuss

https://leetcode.com/problems/next-greater-numerically-balanced-number/discuss/1537491/C%2B%2B-Brute-Force

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