How does Backtracking works?
As we know backtracking algorithm explores each and every possible path in order to find a valid solution, this exploration of path can be easily understood via given images:
As shown in the image, “IS” represents the Initial State where the recursion call starts to find a valid solution.
C : it represents different Checkpoints for recursive callsTN: it represents the Terminal Nodes where no further recursive calls can be made, these nodes act as base case of recursion and we determine whether the current solution is valid or not at this state.
At each Checkpoint, our program makes some decisions and move to other checkpoints untill it reaches a terminal Node, after determining whether a solution is valid or not, the program starts to revert back to the checkpoints and try to explore other paths. For example in the above image TN1…TN5 are the terminal node where the solution is not acceptable, while TN6 is the state where we found a valid solution.
The back arrows in the images shows backtracking in actions, where we revert the changes made by some checkpoint.
Introduction to Backtracking – Data Structure and Algorithm Tutorials
Backtracking is like trying different paths, and when you hit a dead end, you backtrack to the last choice and try a different route. In this article, we’ll explore the basics of backtracking, how it works, and how it can help solve all sorts of challenging problems. It’s like a method for finding the right way through a complex choices.
Table of Content
- What is Backtracking?
- Types of Backtracking Problems
- How does Backtracking works?
- Determining Backtracking Problems
- Pseudocode for Backtracking
- Complexity Analysis of Backtracking
- How Backtracking is different from Recursion?
- Applications of Backtracking
- Must Do Backtracking Problems
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