Hard

Quiz

#483 Smallest Good Base

APPROACH

Given an integer n represented as a string, return the smallest good base of n.

We call k >= 2 a good base of n, if all digits of n base k are 1's.

Example 1:

Input: n = "13"

Output: "3"

Explanation: 13 base 3 is 111.

Example 2:

Input: n = "4681"

Output: "8"

Explanation: 4681 base 8 is 11111.

Example 3:

Input: n = "1000000000000000000"

Output: "999999999999999999"

Explanation: 1000000000000000000 base 999999999999999999 is 11.

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What is the optimal approach for this problem?