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Solution: Sum of k-Mirror Numbers

Explore how to identify k-mirror numbers that are palindromes in both base 10 and a given base k by generating palindromes efficiently. Learn to convert numbers between bases, check palindromes, and sum the smallest n k-mirror numbers. Understand the approach's complexity and practical constraints.

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:

  • 22 \leq k 9\leq 9

  • 11 \leq n 30\leq 30 ...