A person goes to a mall. The mall is having sales based on the purchase price. For example, if a person spends $100$ or more $($upto $200)$ then he gets a $20\%$ discount, if he spends between $50$ to $99$ then he gets a $15\%$ discount, and below $50$ gets a $10\%$ discount. However, if he spends over $200$ then he gets a $22\%$ discount. Now write the program that takes user input of the purchase price and calculates the total cost with an appropriate discount.