Trying paths and undoing wrong choices
Day 94 of 149
π Full deep-dive with code examples
The Maze Analogy
Solving a maze:
- Walk until you hit a dead end
- Backtrack to the last junction
- Try a different path
- 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!
β
Undo (backtrack) to start
β
Try path B β Keep going!
β
Dead end? Backtrack again
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...
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
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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