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Check if Number Has Equal Digit Count and Digit Value

EasyUpdated: Jul 4, 2025
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Problem

You are given a 0-indexed string num of length n consisting of digits.

Return true _if forevery index _i in the range0 <= i < n , the digiti occursnum[i]times innum , otherwise returnfalse.

Examples

Example 1

Input: num = "1210"
Output: true
Explanation:
num[0] = '1'. The digit 0 occurs once in num.
num[1] = '2'. The digit 1 occurs twice in num.
num[2] = '1'. The digit 2 occurs once in num.
num[3] = '0'. The digit 3 occurs zero times in num.
The condition holds true for every index in "1210", so return true.

Example 2

Input: num = "030"
Output: false
Explanation:
num[0] = '0'. The digit 0 should occur zero times, but actually occurs twice in num.
num[1] = '3'. The digit 1 should occur three times, but actually occurs zero times in num.
num[2] = '0'. The digit 2 occurs zero times in num.
The indices 0 and 1 both violate the condition, so return false.

Constraints

  • n == num.length
  • 1 <= n <= 10
  • num consists of digits.

Solution

Method 1 – Frequency Array

Intuition

We need to check if for every index i, the digit i appears exactly num[i] times in the string. This is a direct frequency counting problem.

Reasoning

By counting the frequency of each digit in the string, we can directly compare the count of digit i with the value at num[i] for all indices. If all match, the condition is satisfied.

Approach

  1. Initialize a frequency array of size 10 (for digits 0-9).
  2. Count the frequency of each digit in the string num.
  3. For each index i in num, check if the frequency of digit i equals int(num[i]).
  4. If all checks pass, return true; otherwise, return false.

Edge cases:

  • Digits not present in the string should have a count of zero.

Code

C++
class Solution {
public:
    bool digitCount(string num) {
        vector<int> cnt(10);
        for (char c : num) cnt[c - '0']++;
        for (int i = 0; i < num.size(); ++i) {
            if (cnt[i] != num[i] - '0') return false;
        }
        return true;
    }
};
Go
func digitCount(num string) bool {
    cnt := make([]int, 10)
    for _, c := range num {
        cnt[c-'0']++
    }
    for i := 0; i < len(num); i++ {
        if cnt[i] != int(num[i]-'0') {
            return false
        }
    }
    return true
}
Java
class Solution {
    public boolean digitCount(String num) {
        int[] cnt = new int[10];
        for (char c : num.toCharArray()) cnt[c - '0']++;
        for (int i = 0; i < num.length(); i++) {
            if (cnt[i] != num.charAt(i) - '0') return false;
        }
        return true;
    }
}
Kotlin
class Solution {
    fun digitCount(num: String): Boolean {
        val cnt = IntArray(10)
        for (c in num) cnt[c - '0']++
        for (i in num.indices) {
            if (cnt[i] != num[i] - '0') return false
        }
        return true
    }
}
Python
class Solution:
    def digit_count(self, num: str) -> bool:
        cnt = [0] * 10
        for c in num:
            cnt[int(c)] += 1
        for i, ch in enumerate(num):
            if cnt[i] != int(ch):
                return False
        return True
Rust
impl Solution {
    pub fn digit_count(num: String) -> bool {
        let mut cnt = [0; 10];
        for c in num.chars() {
            cnt[c as usize - '0' as usize] += 1;
        }
        for (i, ch) in num.chars().enumerate() {
            if cnt[i] != ch as usize - '0' as usize {
                return false;
            }
        }
        true
    }
}

Complexity

  • ⏰ Time complexity: O(n), as we scan the string a constant number of times and n ≤ 10.
  • 🧺 Space complexity: O(1), as the frequency array size is constant (10).

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