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Problem: Sum of k-Mirror Numbers

hard
40 min
Explore how to identify k-mirror numbers, which are palindromic in both decimal and a specified base k. Learn to calculate the sum of the smallest such numbers, enhancing your skills in mathematical problem-solving and palindrome detection across number bases.

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

Tap here to switch tabs
Problem
Ask
Submissions

Problem: Sum of k-Mirror Numbers

hard
40 min
Explore how to identify k-mirror numbers, which are palindromic in both decimal and a specified base k. Learn to calculate the sum of the smallest such numbers, enhancing your skills in mathematical problem-solving and palindrome detection across number bases.

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