Maximum Number of Moves to Kill All Pawns | Step By Step Detailed | Leetcode 3283 | codestorywithMIK
168Whatsapp Community Link : https://www.whatsapp.com/channel/0029...
This is the 100th Video of our Playlist "Dynamic Programming : Popular Interview Problems" by codestorywithMIK
In this video we will try to solve a very good DP problem : Maximum Number of Moves to Kill All Pawns | Step By Step Detailed | Leetcode 3283 | codestorywithMIK
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Maximum Number of Moves to Kill All Pawns | Step By Step Detailed | Leetcode 3283 | codestorywithMIK
Company Tags : will update soon
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Intervie...
Leetcode Link : https://leetcode.com/problems/maximum...
My DP Concepts Playlist : • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist : • Graph Concepts & Qns - 1 : Graph will...
My Recursion Concepts Playlist : • Introduction | Recursion Concepts And...
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Intervie...
Instagram : / codestorywithmik
Facebook : / 100090524295846
Twitter : / cswithmik
Subscribe to my channel : / @codestorywithmik
╔═╦╗╔╦╗╔═╦═╦╦╦╦╗╔═╗
║╚╣║║║╚╣╚╣╔╣╔╣║╚╣═╣
╠╗║╚╝║║╠╗║╚╣║║║║║═╣
╚═╩══╩═╩═╩═╩╝╚╩═╩═╝
Summary :
The above approach solves the problem using a combination of Breadth-First Search (BFS) and dynamic programming with memoization.
Key Steps:
BFS for Distance Calculation:
The BFS function calculates the shortest path for a knight to move from a given starting position (x, y) to all other target positions on a 50x50 grid. This distance is stored in a minDist matrix, which is computed for each position.
Dynamic Programming (DP) for Optimal Moves:
The solve function uses dynamic programming with a recursive approach to find the optimal sequence of moves. The recursion is defined by two parameters: the current position (idx) and a bitmask (mask) representing the unvisited positions.
The solution alternates between Alice and Bob, with Alice trying to maximize her score and Bob trying to minimize it. The result is memoized in the dp array to avoid redundant calculations.
Main Function (maxMoves):
The main function sets up the position list (including the knight's initial position), calculates the minDist matrix using BFS for all positions, and finally calls the solve function to determine the maximum number of moves Alice can make.
Core Idea:
BFS precomputes distances for efficient lookups.
DP uses a bitmask to represent the state of unvisited positions and recursively finds the best strategy using memoization for optimization.
This approach efficiently handles the game scenario by balancing the BFS preprocessing with dynamic programming to minimize the time complexity in decision-making.
✨ Timelines✨
00:00 - Introduction
09:46 - Breaking into pieces
20:20 - BFS deep dive
33:13 - Start the game
43:45 - Recursion deep dive
56:50 - Coding it up
#coding #helpajobseeker #easyrecipes #leetcode #leetcodequestionandanswers #leetcodesolution #leetcodedailychallenge #leetcodequestions #leetcodechallenge #hindi #india #coding #helpajobseeker #easyrecipes #leetcode #leetcodequestionandanswers #leetcodesolution #leetcodedailychallenge#leetcodequestions #leetcodechallenge #hindi #india #hindiexplanation #hindiexplained #easyexplaination #interview#interviewtips #interviewpreparation #interview_ds_algo #hinglish #github #design #data #google #video #instagram #facebook #leetcode #computerscience #leetcodesolutions #leetcodequestionandanswers #code #learning #dsalgo #dsa #newyear2024