You are given an integer n.
We need to group the numbers from 1 to n according to the sum of its digits. For example, the numbers 14 and 5 belong to the same group, whereas 13 and 3 belong to different groups.
Return the number of groups that have the largest size, i.e. the maximum number of elements.
Examples
Example 1
Input: n = 13
Output: 4
Explanation: There are 9 groups in total, they are grouped according sum of its digits of numbers from 1 to 13:
[1,10], [2,11], [3,12], [4,13], [5], [6], [7], [8], [9].
There are 4 groups with largest size.
Example 2
Input: n = 2
Output: 2
Explanation: There are 2 groups [1], [2] of size 1.
Constraints
1 <= n <= 104
1399. Count Largest Group
Easy
10 Points
Hash Table
Math
You are given an integer n.
We need to group the numbers from 1 to n according to the sum of its digits. For example, the numbers 14 and 5 belong to the same group, whereas 13 and 3 belong to different groups.
Return the number of groups that have the largest size, i.e. the maximum number of elements.
Examples
Example 1
Input: n = 13
Output: 4
Explanation: There are 9 groups in total, they are grouped according sum of its digits of numbers from 1 to 13:
[1,10], [2,11], [3,12], [4,13], [5], [6], [7], [8], [9].
There are 4 groups with largest size.
Example 2
Input: n = 2
Output: 2
Explanation: There are 2 groups [1], [2] of size 1.