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Sreekar Reddy
Sreekar Reddy

Posted on • Originally published at sreekarreddy.com

πŸ”™ Backtracking Explained Like You're 5

Trying paths and undoing wrong choices

Day 94 of 149

πŸ‘‰ Full deep-dive with code examples


The Maze Analogy

Solving a maze:

  1. Walk until you hit a dead end
  2. Backtrack to the last junction
  3. Try a different path
  4. Repeat until you find the exit!

Backtracking explores all possibilities by trying and undoing.


How Backtracking Works

Start β†’ Try path A β†’ Dead end!
                    ↓
        Undo (backtrack) to start
                    ↓
        Try path B β†’ Keep going!
                    ↓
        Dead end? Backtrack again
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Systematically explores ALL options.


Classic Example: N-Queens

Place N queens on an NxN board so none attack each other:

Try placing queen in row 1, column 1
    β†’ Try row 2, column 1... conflict!
    β†’ Backtrack, try column 2... conflict!
    β†’ Backtrack, try column 3... works!
    β†’ Continue to row 3...
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The Code Pattern

def backtrack(choices):
    if solved():
        return True

    for choice in choices:
        make_choice(choice)  # Try

        if backtrack(remaining):  # Explore
            return True

        undo_choice(choice)  # Backtrack!

    return False
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Famous Backtracking Problems

Problem What You're Exploring
Sudoku Number placements
N-Queens Queen positions
Maze solving Path choices
Permutations All arrangements

In One Sentence

Backtracking solves problems by exploring paths, undoing when stuck, and trying alternatives.


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