Tower of Hanoi

Author: Shikha-code36

README.md

@@ -7,4 +7,5 @@ Data Structures and Algorithms implementation in Python.
     - [x] [Basic Problems](Recursion/Basic-Problems)
         - [x] [Factorial](Recursion/Basic-Problems/factorial.py)
         - [x] [Fibonacci](Recursion/Basic-Problems/fibonacci.py)
-        - [x] [Sum of Geometric Progression](Recursion/Basic-Problems/GP.py)
+        - [x] [Sum of Geometric Progression](Recursion/Basic-Problems/GP.py)
+        - [x] [Tower of Hanoi](Recursion/Basic-Problems/TOH.py)

Recursion/Basic-Problems/TOH.py

@@ -0,0 +1,43 @@
+'''
+                                        Tower of Hanoi
+Tower of Hanoi is a mathematical puzzle where we have three rods and n disks. The objective of the puzzle is to move the entire stack to another rod, obeying the following simple rules: 
+1) Only one disk can be moved at a time. 
+2) Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack i.e. a disk can only be moved if it is the uppermost disk on a stack. 
+3) No disk may be placed on top of a smaller disk.
+
+ALGO-
+
+1-Create a tower_of_hanoi recursive function and pass two arguments: the number of disks n and the name of the rods such as source, aux, and target.
+2-We can define the base case when the number of disks is 1. In this case, simply move the one disk from the source to target and return.
+3-Now, move remaining n-1 disks from source to auxiliary using the target as the auxiliary.
+4-Then, the remaining 1 disk move on the source to target.
+5-Move the n-1 disks on the auxiliary to the target using the source as the auxiliary.
+
+'''
+
+
+def tower_of_hanoi(n, source, auxiliary, target):
+    if n == 1:
+        print("Move disk 1 from source", source, "to destination", target)
+        return
+    tower_of_hanoi(n-1, source, target, auxiliary)
+    print("Move disk", n, "from source", source, "to destination", target)
+    tower_of_hanoi(n-1, auxiliary,  source, target)
+
+
+print(tower_of_hanoi(4, 'A', 'B', 'C'))
+# Move disk 1 from source A to destination B
+# Move disk 2 from source A to destination C
+# Move disk 1 from source B to destination C
+# Move disk 3 from source A to destination B
+# Move disk 1 from source C to destination A
+# Move disk 2 from source C to destination B
+# Move disk 1 from source A to destination B
+# Move disk 4 from source A to destination C
+# Move disk 1 from source B to destination C
+# Move disk 2 from source B to destination A
+# Move disk 1 from source C to destination A
+# Move disk 3 from source B to destination C
+# Move disk 1 from source A to destination B
+# Move disk 2 from source A to destination C
+# Move disk 1 from source B to destination C