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Count Largest Group

You are given an integer n.

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.

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 <= 10^4

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