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 @@
 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 @@ def period_find(self, num: int, number: int) -> int:
         >>> 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 @@ def shor_algorithm(self, number:int) -> tuple[int, int]:
         >>> 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))
-
-
-
-