Handled type hinds

DIRECTORY.md

@@ -1192,6 +1192,7 @@
 
 ## Quantum
   * [Q Fourier Transform](quantum/q_fourier_transform.py)
+  * [Shor Algorithm](quantum/shor_algorithm.py)
 
 ## Scheduling
   * [First Come First Served](scheduling/first_come_first_served.py)

quantum/shor_algorithm.py

@@ -6,13 +6,15 @@ Shor Algorithm is one of the basic quantum computing algorithm
 that is used in breaking the RSA cryptography protocol, by finding the
 prime numbers that are used to create the public key value, n
 
-In this implementation, I have used a very simple construct without 
+In this implementation, I have used a very simple construct without
 the use of qiskit or cirq to help understand how Shor algorithm's
 idea actually works.
 
 Website referred for shor algorithm:
 https://www.geeksforgeeks.org/shors-factorization-algorithm/
 """
+
+
 class Shor:
     def period_find(self, num: int, number: int) -> int:
         """
@@ -24,7 +26,7 @@ class Shor:
         >>> shor.period_find(3, 7)
         6
         """
-        start:int = 1
+        start: int = 1
         while pow(num, start, number) != 1:
             start += 1
         return start
@@ -40,28 +42,24 @@ class Shor:
         >>> factors
         (3, 5)
         """
-        if number%2 == 0:
-            return 2, number//2
+        if number % 2 == 0:
+            return 2, number // 2
         while True:
             random.seed(0)
-            num:int = random.randint(2, number-1)
-            gcd_number_num:int = math.gcd(number, num)
+            num: int = random.randint(2, number - 1)
+            gcd_number_num: int = math.gcd(number, num)
             if gcd_number_num > 1:
-                return gcd_number_num, number//gcd_number_num
-            
-            result:int = self.period_find(num, number)
-            if not result%2:
-                start:int = pow(num, result//2, number)
-                if start != number-1:
-                    p_value:int = math.gcd(start-1, number)
-                    q_value:int = math.gcd(start+1, number)
+                return gcd_number_num, number // gcd_number_num
+
+            result: int = self.period_find(num, number)
+            if not result % 2:
+                start: int = pow(num, result // 2, number)
+                if start != number - 1:
+                    p_value: int = math.gcd(start - 1, number)
+                    q_value: int = math.gcd(start + 1, number)
                     if p_value > 1 and q_value > 1:
                         return p_value, q_value
-            
+
 
 shor = Shor()
 print(shor.shor_algorithm(15))
-            
-            
-            
-