Digit Sum in Another Base

Easy

You are given a decimal integer number and a base base. Write number in base base, then add up the digits of that representation as ordinary decimal values. Return the sum.

Example 1

number=29, base=4 → 5

29 written in base 4 is 131, and 1 + 3 + 1 = 5.

Example 2

number=15, base=2 → 4

15 in binary is 1111; four ones give 4.

Example 3

number=81, base=9 → 1

81 in base 9 is 100, whose digits add up to 1.

Constraints

1 ≤ number ≤ 100
2 ≤ base ≤ 10

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Topics

Math

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Input

number=29, base=4

Expected

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