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Solution: Sum of k-Mirror Numbers

Explore how to find the sum of the smallest k-mirror numbers by generating palindromes in base 10 and filtering them with base-k palindrome checks. Understand converting numbers between bases, palindrome verification, and efficient generation techniques to handle constraints effectively.

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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 ...