main.py

import matplotlib.pyplot as plt

#Graph setup

plt.xlabel('iteration')
plt.ylabel('value')
plt.title('Graph')

#Interaction

print('\n')
number = int(input(" Pick a number & Press enter 1 2 3 4 5 6 7 8 9... >>> "))
print('\n')

print('  ',number, ' Good choise \n')

print(""" Now we are going to apply two rules \n
 If the number is odd, we multiply by three and add one [ x3+1 ] \n
 If the number is even, we divide by two [ /2 ]
\n""")
print(' Now we keep applying these two rules \n')

start=str(input('    Press Enter to begin ! \n'))

#Variables

iterations = int(0) # to count iteration in while loop
List_iteration= [0] # empty list for  iterations ; list to plot
List_number= [0] # empty list for  iterations ; list to plot

#infinity loop

while True:

     if (number%2) == 0: #modulo operator to get the remainder
          
         number = int (number/2)    #if number is even make it odd
         print("          ",number)
         
         iterations = iterations +1 # Increment
         
         List_number.append(number) # Add number/value in list, every time
         List_iteration.append(iterations) # Add iteration value/increment in list, every time
         plt.plot(List_iteration, List_number , 'b-o') #Pass varibles as arguments to plot, with graph style

         plt.pause(0.0001) #pause for interval seconds
                         # graph figure, will be updated and displayed before the pause (show data ploting live/animation)

         
     else:
         number = int (number*3+1) #if number is odd make it even
         print("          ",number)
         
         iterations = iterations +1 # Increments
         
         List_number.append(number) # Add number/value in list, every time
         List_iteration.append(iterations) # Add iteration value/increment in list, every time
         plt.plot(List_iteration, List_number,'b-o') #Pass varibles as arguments to plot, with graph style

         plt.pause(0.0001) #pause for interval seconds
                         # graph figure, will be updated and displayed before the pause (show data ploting live/animation)

         

     if (number == 1): # Stop !!
         print('\n')
         print(" We are in the loop, and the lowest number is one. Every positive integer, if you apply these rules,")
         print(" will eventually end up in the 4, 2, 1 loop. Commonly called Collatz conjecture or 3N+1.")
         print(" And the number you get by applying 3x+1 are called hailstone numbers \n")
         print(" Iterations: ",iterations ,'\n')
         plt.show() # show ploted graph