Sum of k-Mirror Numbers | Super Detailed | Minute Details | Leetcode 2081 | codestorywithMIK

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Published on June 23, 2025 1:00:46 AM ● Video Link: https://www.youtube.com/watch?v=j_cFgoSJqDQ

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Hi Everyone, this is the 33rd video of our Playlist "Maths Playlist : Popular Interview Problems".
Now we will be solving a very good Maths based problem on palindromes - Sum of k-Mirror Numbers | Super Detailed | Minute Details | Leetcode 2081 | codestorywithMIK

We will break it down into simple steps to make it easier to understand. We will deep dive into the Maths behind it.

Problem Name : Sum of k-Mirror Numbers | Super Detailed | Minute Details | Leetcode 2081 | codestorywithMIK
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My solutions on Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Mathematical/Sum of k-Mirror Numbers.cpp
Leetcode Link : https://leetcode.com/problems/sum-of-k-mirror-numbers/description/


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Video Summary :
This approach systematically generates base-10 palindromes by mirroring halves and checks if their base‑k representation is also a palindrome. By building palindromes in increasing order of length, it ensures the smallest valid k‑mirror numbers are found first. This reduces unnecessary checks by avoiding non-palindromic base‑10 numbers altogether.
The process continues incrementally by length, ensuring the smallest k‑mirror numbers are found in order



✨ Timelines✨
00:00 - Introduction
0:15 - Motivation
0:33 - Problem Explanation
5:02 - Thought Process - Brute Force
9:25 - Why will Brute Force give TLE ?
12:23 - Optimal Approach Thought Process
14:35 - Generating Palindromes
26:53 - Generating Numbers
41:39 - Summary
48:11 - Coding it up
57:10 - Time & space

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