#Doublet Puzzle Solver An from scratch implementation of a hash table, a priority queue (implemented with a min heap), and the A* search algorithm to find the optimal solution for a given word ladder.

##Background Information The Doublet Puzzle (also known as Word Ladders, Laddergrams and change-the-word puzzles) was not only the author of Alice's Adventures in Wonderland and Through the Look-Glass but also a mathematician one of the greatest inventers of puzzles. One of his most famous puzzles was coined the doublet. The basic idea of the puzzle is to take a start word and an end word and transform the start word into the end word by changing one letter at a tie. So for example...

**Start Word: ** HEAD - **End Word: ** TAIL

1. Heal (Change "d" of head to "l")

2. Teal (Change "h" of heal to "t")
3. Tell (Change "a" of Teal to "l")
4. Tall (Change "e" of Tell to "l")
5. TAIL (Change first "l" of tail to "i")

To learn more about the puzzle see this article. My explanation was just a brief summary of that articles examplation. Also see the Wikipedia for more information.

Note: To simply use the puzzle solver follow the A* Doublet Puzzle Solver directions. The Hashtable and MinHeap can aso be used seperately for other programs but is currently not templated. Follow the compiliation directions for each of those respectively if you wish to use them.

Known Issues: Things I'll work on when I have the time.

• Adding multiple items of the same string several times causes strange behavior.
• If A* cannot find a path the program terminates with an uncaught exception. Easy fix, will take care of soon.

To execute the program...

1. First compile the program by running make

2. Run the program with bin/doublet start_word goal_word /path/to/dictionary.txt, i.e. bin/doublet river sweep data/AStarTestFile.txt

3. Rejoice.

###Hashtable

To use the hash table in your program...

1. Compile the hash_table by running make bin/hashtable.o

2. Include the hash_table.h found in the lib directory in your main program.

3. Create a hash table such as HashTable map;

4. See hash_table.h for function prototypes.

###D-ary Min Heap

To use the d-ary min heap in your program...

1. Compile the MinHeap by running make bin/minheap.o

2. Include the min_heap.h found in the lib directory in your main program.

3. Create a d-ary min heap with MinHeap priority_queue(d); where d is the d-ary value.

4. See min_heap.h for function prototypes.