Added Fibonaaci Search

Author: robinsingh-ai

Data Structures/Searching/Fibonaaci Search.py

@@ -0,0 +1,43 @@
+"""
+Author : Robin Singh
+Implementation of Fibonacci Search Algorithm
+"""
+def fibonacci(n):
+    if n < 1:
+        return 0
+    elif n==1:
+        return 1
+    else:
+        return fibonacci(n-1)+fibonacci(n-2)
+
+
+def fibo_search(list,key):
+    m = 0
+    while fibonacci(m) < len(list):
+        m = m+1
+
+
+    offset = -1#Main
+
+    while (fibonacci(m)>1):
+         i = min(offset + fibonacci(m-2),len(list)-1)
+
+         if key > list[i]:
+             m = m-1
+             offset = i
+
+         elif key<list[i]:
+             m = m-2
+
+         else:
+
+              return i
+
+    if (fibonacci(m - 1) and list[offset + 1] == key): #if m =2 then this case will be executed
+        return offset + 1
+    return -1
+
+list = [2,4,6,8,10,23,45,67,89,90,123,345,567,789,900]
+key = int(input("Entre Key"))
+print("Found at Index",fibo_search(list,key))
+