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Grokking the Coding Interview Patterns in JavaScript

Solution: Sum of k-Mirror Numbers

Understand how to generate base-10 palindromes and check their representation in base k to find the sum of the smallest k-mirror numbers. This lesson teaches you efficient palindrome generation, base conversion, and filtering techniques to solve this math-based coding challenge.

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Statement

A k-mirror number is a positive integer without leading zeros that is a palindrome in both base-1010 and base-k.

Given an integer k representing the base and an integer n, return the sum of the n smallest k-mirror numbers.

Note: A palindrome is a number that reads the same both forward and backward.

Constraints:

  • 2≤2 \leq k ≤9\leq 9

  • 1≤1 \leq n ≤30\leq 30 ...