Rock Paper Scissors Game

import random

# Print multiline instruction
print('Winning rules of the game ROCK PAPER SCISSORS are:\n'
      + "Rock vs Paper -> Paper wins \n"
      + "Rock vs Scissors -> Rock wins \n"
      + "Paper vs Scissors -> Scissors wins \n")

while True:
    print("Enter your choice \n 1 - Rock \n 2- Paper \n 3- Scissors \n")
    
    # Take the input from user
    choice = int(input("Enter your choice: "))
    # Looping until user enters valid input
    while choice > 3 or choice < 1:
        choice = int(input('Enter a valid choice please :): '))
    
    # Initialize value of choice_name variable corresponding to the choice value
    if choice == 1:
        choice_name = 'Rock'
    elif choice == 2:
        choice_name = 'Paper'
    else: 
        choice_name = 'Scissors'
     
    # Print user choice
    print('User choice is:', choice_name)
    print('Now its the computers turn...')
    
    # Computer chooses randomly any number among 1, 2, and 3
    comp_choice = random.randint(1, 3)

    # Initialize value of comp_choice_name variable corresponding to the choice value
    if comp_choice == 1:
        comp_choice_name = 'Rock'
    elif comp_choice == 2:
        comp_choice_name = 'Paper'
    else:
        comp_choice_name = 'Scissors'

    print("Computer choice is:", comp_choice_name)
    print(choice_name, 'vs', comp_choice_name)

    # Determine the winner
    if choice == comp_choice:
        result = 'DRAW'
    elif (choice == 1 and comp_choice == 2) or (comp_choice == 1 and choice == 2):
        result = 'Paper'
    elif (choice == 1 and comp_choice == 3) or (comp_choice == 1 and choice == 3):
        result = 'Rock'
    elif (choice == 2 and comp_choice == 3) or (comp_choice == 2 and choice == 3):
        result = 'Scissors'
    
    # Print the result
    if result == 'DRAW':
        print("<== Its a Tie! ==>")
    elif result == choice_name:
        print("<== User Wins! ==>")
    else:
        print("<== Computer Wins! ==>")
        
    # Ask if the user wants to play again
    print("Do you want to play again? (Y/N)")
    ans = input().lower()
    if ans == 'n':
        break
    
# After coming out of the while loop, print thanks for playing
print("Thanks for playing!")