Data Structures and Algorithms in Python | 32. Backtracking, N queens - Part A by Abraham | Learn Smarter
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32. Backtracking, N queens - Part A

The chapter discusses the concept of backtracking through the lens of the N Queens problem, where the challenge is to place N queens on an N x N chessboard such that no two queens attack each other. It explores how backtracking allows for systematic exploration of potential solutions by building candidate solutions incrementally and undoing steps when dead ends are reached. The chapter also highlights specific implementations for the eight queens problem and the necessary representations needed to track queen positions and attacked squares on the board.

Sections

  • 32.1

    Backtracking, N Queens

    This section introduces the concept of backtracking through the classic N Queens problem, highlighting how solutions can be systematically explored and verified.

    Learning Practice

  • 32.1.1

    Introduction To Backtracking

    This section introduces backtracking as a systematic approach to solving problems by exploring and undoing partial solutions, with the Eight Queens problem as a primary example.

    Learning Practice

  • 32.1.2

    The Eight Queens Problem

    The Eight Queens Problem focuses on placing 8 queens on a chessboard such that no two queens can attack each other, demonstrating the backtracking algorithm's application in solving complex problems.

    Learning Practice

  • 32.1.3

    Generalization To N Queens

    This section explores the N Queens problem, a classic backtracking algorithm that involves placing N queens on an N x N chessboard without them threatening each other.

    Learning Practice

  • 32.1.4

    Systematic Approach To Solving N Queens

    The section covers the systematic approach of solving the N Queens problem using backtracking, demonstrating the placements of queens on a chessboard such that no two queens threaten each other.

    Learning Practice

  • 32.1.5

    Recursive Solution For N Queens

    This section discusses the N Queens problem and explores how to use recursion and backtracking to systematically find solutions to place N queens on an N x N chessboard without them attacking each other.

    Learning Practice

  • 32.1.6

    Data Representation For N Queens

    This section explores the N Queens problem using backtracking techniques to solve the placement of queens on a chessboard without conflicts.

    Learning Practice

  • 32.1.7

    Handling Attacks On Squares

    This section discusses the process of systematically backtracking to solve the N-Queens problem, where the goal is to place N queens on an N x N chessboard without them threatening one another.

    Learning Practice

  • 32.2

    Implementation Of Backtracking

    Backtracking is a systematic method for solving problems by exploring all possible solutions while undoing previous moves when necessary.

    Learning Practice

  • 32.2.1

    Recursive Function For Placing Queens

    This section explores the recursive approach to solving the N Queens problem using backtracking, focusing on how to place queens on a chessboard without them attacking each other.

    Learning Practice

  • 32.2.2

    Updating The Board State

    This section discusses the concept of backtracking in programming, specifically through the example of the N Queens problem.

    Learning Practice

  • 32.2.3

    Efficient Tracking Of Attacks

    The section discusses efficient methods for tracking attacks in the N Queens problem, utilizing backtracking and systematic search techniques.

    Learning Practice

References

Chapter 32 part-A.pdf

Class Notes

Memorization

What we have learnt

  • Backtracking is a systemati...
  • The N Queens problem demons...
  • The implementation of the N...

Final Test

Revision Tests