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Sum of Digits in Base K

Given an integer n (in base 10) and a base k, return the sum of the digits of n after converting n from base 10 to base k.

Given an integer n (in base 10) and a base k, return the sum of the digits of n after converting n from base 10 to base k.

After converting, each digit should be interpreted as a base 10 number, and the sum should be returned in base 10.

Example 1

Input: n = 34, k = 6

Output: 9

Explanation: 34 (base 10) expressed in base 6 is 54. 5 + 4 = 9.

Example 2

Input: n = 10, k = 10

Output: 1

Explanation: n is already in base 10. 1 + 0 = 1.

Constraints

  • 1 <= n <= 100
  • 2 <= k <= 10

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