#3855

Sum of K-Digit Numbers in a Range

hard · 49.9% accepted · 37 likes · top 37%

Description

You are given three integers l, r, and k.

Consider all possible integers consisting of exactly k digits, where each digit is chosen independently from the integer range [l, r] (inclusive). If 0 is included in the range, leading zeros are allowed.

Return an integer representing the sum of all such numbers.​​​​​​​ Since the answer may be very large, return it modulo 109 + 7.

Solution