import random
import sys

def is_valid_triangle(side1, side2, side3):
    return side1 + side2 > side3 and side1 + side3 > side2 and side2 + side3 > side1

name=input('what is your name? ')
print(f'\nWelcome to areas and perimeter unlimited {name}\n')

#this code checks if the user wants the rules or not
while True:
    rules=input('Do you want to know how to solve the area and perimeter of squares, rectangles and triangles?(yes/no) ').lower()
    if rules in ('yes', 'y'):
        print('\n                     ---- formulas ----')
        print('For Squares')
        print('Perimeter = 4 x length')
        print('area = length x length\n')
        print('For Rectangles')
        print('Perimeter = 2 x (width + length)')
        print('area = width x length\n')
        print('For Triangles')
        print('Perimeter = side a + side b + side c')
        print('area = 1⁄2 base x height')
        break
    elif rules in ['no','n']:
        print('\nI hope your good at math then.')
        break
    else:
        print('\ncome again? (yes/no)')
        continue

while True:
    correct = 0
    incorrect = 0

    #asking the player how many questions they want
    rounds_number = input('\nHow many questions do you want?(pick a number from 5-20) ')

    #checking if the player entered a number grater then 5 but lesser than 20
    if not rounds_number.isdigit() or not 5 <= int(rounds_number) <= 20:
        print('\nchoose a number between 5 and 20')
        continue
    else:

        rounds_number = int(rounds_number)

        #seeing if the game is finished or not
        while correct + incorrect < rounds_number:
            #choosing the numbers for the shapes
            number1 = random.randint(2, 10)
            number2 = random.randint(2, 10)
            number3 = random.randint(2, 10)
            #choosing the shape
            shape = random.choice(['square', 'rectangle', 'triangle'])
            #choosing weather to use area or perimeter
            ap = random.choice(['area', 'perimeter'])

            #checking if the shape is a square or not
            if shape == 'square':
                player_answer = input(f'\nfind the {ap} of a {shape} whose sides are all {number1}cm long ')
                if not player_answer.isdigit():
                    print('enter a whole number try again on this new question')
                    continue
                else:
                    #calculating the perimeter of the square
                    if ap == 'perimeter':
                        answer = number1 * 4
                    #calculating the area of the square
                    if ap == 'area':
                        answer = number1* number1

            #checking if the shape is a rectangle or not
            elif shape == 'rectangle':
                player_answer = input(f'\nfind the {ap} of a {shape} whose sides are {number1}cm and {number2}cm long ')
                if not player_answer.isdigit():
                    print('enter a whole number try again on this new question')
                    continue
                else:
                    # calculating the perimeter of the rectangle
                    if ap == 'perimeter':
                        answer = 2*(number1 + number2)

                    # calculating the area of the rectangle
                    if ap == 'area':
                        answer = number1 * number2

            #checking if the shape is a triangle or not
            else:
                if not is_valid_triangle(number1, number2, number3):
                    continue
                # calculating the perimeter of the triangle
                if ap == 'perimeter':
                    player_answer = input(f'\nfind the {ap} of a {shape} whose sides are {number1}cm, {number2}cm and {number3}cm long ')
                    if not player_answer.isdigit():
                        print('enter a whole number try again on this new question')
                        continue
                    else:
                        answer = number1 + number2 + number3

                # calculating the area of the triangle
                if ap == 'area':
                    player_answer = input(f'\nfind the {ap} of a {shape} whose base is {number1}cm and has a height of {number2}cm  ')
                    if not player_answer.isdigit():
                        print('enter a whole number try again on this new question')
                        continue
                    else:
                        answer = number1 / 2 * number2
                        answer = round(answer)
            player_answer= int(player_answer)
            if player_answer == answer:
                print('\ncorrect')
                correct += 1
            else:
                print(f'\nincorrect the correct answer is {answer}')
                incorrect += 1

    print(f'\nCongratulations you finished all questions, you got {correct} correct and {incorrect} incorrect or {round(correct/rounds_number*100)}% correct')
    again = input('do you want to play again? (yes/no) ')
    if again in ('yes', 'y'):
        continue
    else:
        print(f'\nThank you for playing {name}')
        sys.exit()