"""			    CSC 15 Lab 3  
		
	             Due before next week's lab

        PLEASE SUBMIT ALL PARTS OF ASSIGNMENT IN ONE FILE
------------------------------------------------------------------------
"""
#			PART I: Basic Drills     

# 0. Given:

x = int(input("Enter an integer: "))

# Write a boolen condition to determine if x is a positive even integer.
# Note that this rules out zero, which is not positive.  Write an 
# if statement that prints whether or not x is a positive even integer:

# I'll do this one for you:
if (x>0 and x%2==0): print("x is a positive even integer")
else: print("x is not a positive even integer")

# 1. 
y = int(input("Enter another integer: "))

# Write code to determine, and print out, whether x (from above) is equal to, 
# less than or greater than y.  You code need to print one of three 
# possibilities.


# 2. Two integers are "relatively prime" if neither divides the other evenly
# (without leaving a remainder).  For example, 4 and 6 are relatively prime
# because neither can divide the other.  But 4 and 8 are not relatively prime
# because 8 divides 4 evenly (8%4=0).  Write an if statement to determine
# x and y entered above are relatively prime.


# 3.

z = int(input("Enter an integer that's different from x and y: "))

# Write a boolean condition to determine if z is either the same as x or
# the same as y.

# 3b.  Use a while loop around the above input so that the loop terminates
# only when a different integer is entered.  For example, if x,y==2,5 above,
# then the program should behave like the following:

#   Enter an integer that's different from x and y: 2
#   Enter an integer that's different from x and y: 5
#   Enter an integer that's different from x and y: 2
#   Enter an integer that's different from x and y: 8
#   Thank you!

# Hint: think in terms of what should be in the preamble of the loop
# and what should be in the postamble.  The "Thank you!" should be
# printed after the loop finishes.


# 4.  Use (possibly several) if/else/elif statements to print the SMALLEST
# of the three number that was entered.  

# Hint: the answer (for finding the largest) was demonstrated in class.
# You shouldn't need more than two independent if statements. First set
# a variable sm to x, then test if y is smaller than sm, then test if
# z is smaller than sm:

sm = x
if y<sm: sm = y
# ... please finish the rest
print("the smallest integer is",sm)


# 4b. Given four integers a,b,c,d, write a sequence of statements that will
# print out the value of the smallest of the integers using THE FEWEST number
# of if, if-else (and elif) statements.

# Enter integers a,b,c,d:  6,9,2,4    (sample input)
# The smallest integer is 2           (output)

# 4c. Modify this program so that it not only prints the value of the smallest
# integer, but also which integer it was (ok to break ties any way):

# Enter integers a,b,c,d:  6,1,2,4                       
# The smallest integer is b, which has value 1           

# Again, use as few if, else and elif's as possible to write the program.
# Hint: set a string variable to coorespond to sm.



"""
                              PART II
---------------------------------------------------------------------------

5. Write a program to calculate and keep track of the sales tax paid on
   a number of items.  That is, you want to purchase a number of items
   and for each item, you want to calculate the sales tax, as well as keep 
   track of the total price of all items with and without tax.  The
   output of the program should look something like the following:

Enter item cost in dollars, 0 to quit: 3.99
tax amount on this item == 0.3541125
total payment amount == 4.3441125000000005 

Enter item cost in dollars, 0 to quit: 12.95
tax amount on this item == 1.1493125
total payment amount == 18.443425 

Enter item cost in dollars, 0 to quit: 24.99
tax amount on this item == 2.2178625
total payment amount == 45.6512875 

Enter item cost in dollars, 0 to quit: 34.5
tax amount on this item == 3.0618749999999997
total payment amount == 83.2131625 

Enter item cost in dollars, 0 to quit: 0
tax amount on this item == 0.0
total payment amount == 83.2131625 

Total cost without tax == 76.43
Total sales tax == 6.78


Note that the individual tax amount and the total price with tax is
printed for each iteration of the loop and the total price without tax
and the total sales tax amount is printed after the loop terminates
(when user enters zero for price). You need to keep track of all of
these values. ALSO, the final totals should be rounded off to the nearest
cent.  **Only the final totals should be rounded off lest there are
rounding errors (.4+.4+.4 = 1.2).

To write this program, first determine how many variables you need, and
what each variable will be used for. ### USE COMMENTS TO CLARIFY ###
for example, you should use a variable for the sales tax rate because the
rate could change:

rate = 0.08875   # 8.875 percent NY state sales tax rate (1.0 = 100 percent)
***Your program must still work if the tax rate changes.

To round off a float x to 0.01, you can use int(x*100+0.5)/100.0

WORK OUT ALL THE MATH you need before coding.


To help you get started, here's a very simple loop that just computes the 
sale tax of prices entered.  You need to modify the code so that it
does as described above.

amount = 1  # set to something that's not zero, otherwise while loop won't start
while amount != 0:
      amount = float(input("enter price, 0 to quit: "))
      print("sales tax is", amount*rate)
# end while

But as described above, there are several other pieces of information that you
need to calculate and keep track of while you run the loop.  So make sure you
think carefully about what will be needed.



-----------
6. Implement a version of the number guessing game where the computer
guesses your number (so don't need randint - the random number
generator is in your head!)  I've posted my version of the program
where the human does the guessing.

   Decide the variables you'll use, and sketch the algorithm on paper
   before proceeding.  

COMMENT CLEARLY.  Output should be similar to:

Think of a number between 1 and 1024 and I will try to guess it ...
My guess is  512
Is the number (e)qual, (l)ess or (g)reater? g
My guess is  768
Is the number (e)qual, (l)ess or (g)reater? l
My guess is  640
Is the number (e)qual, (l)ess or (g)reater? l
My guess is  576
Is the number (e)qual, (l)ess or (g)reater? g
My guess is  608
Is the number (e)qual, (l)ess or (g)reater? l
My guess is  592
Is the number (e)qual, (l)ess or (g)reater? l
My guess is  584
Is the number (e)qual, (l)ess or (g)reater? g
My guess is  588
Is the number (e)qual, (l)ess or (g)reater? g
My guess is  590
Is the number (e)qual, (l)ess or (g)reater? l
My guess is  589
Is the number (e)qual, (l)ess or (g)reater? g
You cheated! Humans can't be trusted!

---------

YOUR PROGRAM MUST WORK FOR ANY RANGE OF NUMBERS, NOT JUST 1 TO 1024!

  Note that your while loop stops when one of two conditions are met:
  
   1. when the human enters e indicating that the right number has been guessed

   2. when the computer decides that the human is cheating.

  How do you write such a loop?  You can't just write

     while answer != "e":
        ...
          
  since that'll only account for the first condition.  One solution is
  to use a seperate boolean variable:

     cheated = False  # will be set to true if cheating detected.
     while answer != "e" and cheated == false:
        ...

  Now to stop the loop, you just set cheated to True.  There are other
  ways to stop the loop.  HOWEVER, YOU MAY NOT USE ABNORMAL JUMP COMMANDS 
  such as 'break' or 'continue'.  You must terminate a loop using an 
  appropriate *boolean* expression.

"""