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Count Beautiful Numbers

You are given two positive integers, l and r.

You are given two positive integers, l and r. A positive integer is called beautiful if the product of its digits is divisible by the sum of its digits.

Return the count of beautiful numbers between l and r, inclusive.

Example 1

Input: l = 10, r = 20

Output: 2

Explanation: The beautiful numbers in the range are 10 and 20.

Example 2

Input: l = 1, r = 15

Output: 10

Explanation: The beautiful numbers in the range are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Constraints

  • 1 <= l <= r < 10^9

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