Merge Operations for Minimum Travel Time | Thought Process | Leetcode 3538 | codestorywithMIK
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Hi Everyone, this is the 109th video of our Playlist "Dynamic Programming : Popular Interview Problems".
Now we will be solving a Hard and very good DP Problem - Merge Operations for Minimum Travel Time | Detailed Thought Process | Leetcode 3538 | codestorywithMIK
I will explain it in full detail so that it becomes easy to understand. We will find the reason behind everything so that we understand why we did what we did.
And we will do a complete dry run. I will go through my entire thought process and intuition.
Problem Name : Merge Operations for Minimum Travel Time | Detailed Thought Process | Leetcode 3538 | codestorywithMIK
Company Tags : will update later
Code Github(C++ & JAVA) - https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/DP/Merge Operations for Minimum Travel Time.cpp
Leetcode Link : https://leetcode.com/problems/merge-operations-for-minimum-travel-time
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Video Summary :
The approach uses top-down dynamic programming with memoization to minimize travel time across n positions, considering up to k merge operations. At each step, we can either skip to the next node or merge multiple subsequent nodes, adjusting the travel rate accordingly. The recursive solve function explores all valid combinations, storing intermediate results in a 3D DP array to avoid redundant calculations. The goal is to find the minimum total time from the start to the end while using at most k merges.
✨ Timelines✨
00:00 - Introduction
0:27 - Motivation
0:46 - Problem Explanation
13:12 - Thought Process
14:52 - Why Recursion ? Options ?
15:57 - Understanding Merge Operation ?
24:52 - Bigger Example
38:10 - Story To Code
53:30 - Important Guidance
54:15 - Coding it up
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