Problem Set 4#
1. Try it out#
Given the following programs, first try to predict the results. Then write the programs to your editor. Run it, observe the results, and see if it matches your prediction.
Typing by yourself if highly recommended, but copy and paste it is also fine as well.
regularPrice = 100
onClearance = True
hasCoupon = False
finalPrice = regularPrice
if(onClearance):
finalPrice = finalPrice - finalPrice * 0.25
if(hasCoupon):
finalPrice = finalPrice - 5.0
print(finalPrice)
x = 7
if (x < 7):
x = 2 * x
if (x % 3 == 1):
x = x + 2
print(3 * x)
2 . Write your own function#
Distance II#
In Distance, if the line of two points is vertical, the program will crash since the slope would be infinity. Modify your program so that it could print the correct output without crashing.
Solve II#
In Solve Equation, it is not required to check the delta, as well as the first coefficient. Modify the program so that if could print the correct output even if the a==0, or delta<0.
Narcissistic Number#
Narcissistic Numbers are defined as follows: An n-digit number is narcissistic if the sum of its digits to the nth power equal the original number. For example with 3 digits, say I choose the number 153: \(153 = 1^{3} + 5^{3} + 3^{3}\). So 153 is a Narcissistic Number.
Write a function called check(), to determine if a 3-digit number which user input is a Narcissistic Number. For example:
input: 153
output: “153 is a Narcissistic Number”
input: 165
output: “165 is not a Narcissistic Number”