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Given an integer n, return the number of positive integers of length n such that the digits are strictly increasing.

https://binarysearch.com/problems/Increasing-Digits

Examples

Example 1

Input

  • n = 2

Output

  • answer = 36

Explanation

We have 12, 13, 14, …, 89.

Example 2

Input

  • n = 1

Output

  • answer = 9

Solution

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