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Number and the Digit Sum
Easy Accuracy: 46.02% Submissions: 878 Points: 2

Given a positive value N, we need to find the count of numbers smaller than and equal to N such that the difference between the number and sum of its digits is greater than or equal to given specific value K.

Example 1:

Input:
N = 13, K = 2
Output: 4
Explanation: 10, 11, 12 and 13 satisfy the given
condition shown below,
10 – sumofdigit(10) = 9 >= 2
11 – sumofdigit(11) = 9 >= 2
12 – sumofdigit(12) = 9 >= 2
13 – sumofdigit(13) = 9 >= 2  

​Example 2:

Input: 
N = 10, K = 5
Output: 1
Explanation: Only 10 satisfies the given
condition as 10 - sumofdigit(10) = 9 >= 5


Your Task:
You don't need to read input or print anything. Your task is to complete the function numberCount() which takes an integer N and an integer K as inputs and returns the count of numbers less than or equal to N such that the difference between the number and its sum of digits is greater than K.


Expected Time Complexity: Log (N).
Expected Auxiliary Space: O(1).


Constraints:
1 <= N, K <= 109

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Number and the Digit Sum

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