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Practice Smallest Good Base

Read the task, work through the examples, and check your approach against the constraints. Use the original LeetCode task for coding and submissions.

Hard#483
LeetCode Problem

Smallest Good Base

Problem Statement

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.

Source: Smallest Good Base on LeetCode. Use the original task for its coding environment and submissions.

Examples

# Example 1

Input
n = "13"
Output
"3"

# Example 2

Input
n = "4681"
Output
"8"

# Example 3

Input
n = "1000000000000000000"
Output
"999999999999999999"

Constraints

n is an integer in the range [3, 10^18].
n does not contain any leading zeros.

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