#Exercise -1
#Дан номер некоторого года (Целое положительное число). Определить цоответствуюший ему номер столетия , учитывая #, что к примеру , #началом 20 столетия был 1901 год
year = input ("provide year to detect century: ")
lng = len(year)
#year = int (year)
ChkDig = year.isdigit()
#print (ChkDig)



if (ChkDig) and (int(year) >= 0 or int(year) < 0):
      year = int(year)
      if (lng>=1 and lng<=5):
            if lng==2 or lng==1:
                  if year >=1:
                        print("century of your provided year : 1 A.C.")
                  elif year==0:
                        print("century of your provided year : 1 B.C.")

            if lng==3:
                  cntr= int (year//100 )
                  carry = int (year - (cntr * 100))
                  if carry >= 1:
                        print ("century of your provided year : " , cntr+1,"A.C.")
                  else:
                        print ("century of your provided year : " , cntr,"A.C.")
            elif lng==4:
                  cntr= int(year//100 )
                  carry = int(year - (cntr * 100))
                  if carry >= 1:
                        print("century of your provided year : ", cntr + 1,"A.C.")
                  else:
                        print("century of your provided year : ", cntr ,"A.C.")

elif (int(year) < 0) or (lng>=2 and lng<=5):
      year = int(year)
      if lng == 4:
            cntr = (-year // 100 )
            carry = int(year - (cntr * 100))
            if carry == 99:
                  print("century of your required year : ", cntr + 1, "B.C.")
            else:
                  print("century of your required year : ", cntr, "B.C.")
      elif lng == 5:
            cntr = (-year // 100 )
            carry = int(year - (cntr * 100))
            if carry == 99:
                  print("century of your required year : ", cntr + 1, "B.C.")
            else:
                  print("century of your required year : ", cntr, "B.C.")
      elif lng == 3 or lng ==2:
            if year > -99:
                  print ("century of your required year : 1 B.C.")
            elif year == -99:
                  print ("century of your required year : 1 A.C.")
else:
      print ("not an year at all !!!")




#-------------------------------------------------------------------------------------
#Exercise -2
#Проверить истиность вусказывания : <<Среди тре данных целых чисел хотя бы одна пара взаимно противоположных>>.
num1 = int (input ("provide num1 "))
num2 = int (input ("provide num2 "))
num3 = int (input ("provide num3 "))


if (num1==-num2) or (num1==-num3) or (num2==-num3):
      print("your statement is true ")
else:
      print ("your statement is not occur ")

#-------------------------------------------------------------------------------------
#Exercise -3
#Дано трехзначное число . Проверить истиность высказывания : <<Все цифры данного числа различны>>


num = input ("provide number 3 digit length ")

if (num.isdigit()):
      len = len(num)
      num = int(num)
      if (len==3) :
            a = int(num//100 % 10)
            b = int(num//10 % 10)
            c = int(num % 10)
            if (a!=b and b!=c and a!=c):
                  print ("you right all 3 digits are different")
            else:
                  print("some of your digits are equal")
      else:
            print ("you provided number with wrong length")
else:
      print ("you didnt provided a number at all")


#-------------------------------------------------------------------------------------

#Exercise -4
#Дано четерехзначное число . Проверить истиность высказывания :<<Данное число читается одинаково слева направо и #справа налево>>

num = input ("provide number 4 digit length ")
lng = len(num)
Chk = num.isdigit()

if (Chk) and lng==4:
      num= int(num)
      a = (num //1000 %10)
      b = (num // 100 % 10)
      c = (num // 10 % 10)
      d = (num % 10)
      if a==d and b==c :
            print ("your number is POLYNDROM")
      else:
            print("your number is not POLYNDROM")
elif (not Chk) :
      print ("It is string and not a number")
elif lng!=4 and (Chk):
      print("you number difirent then 4 digits")

#-------------------------------------------------------------------------------------
#exersise 5

#Еще такая задача:
#The program will first compute the tax you owe based on your income.
#User is prompted to enter income.
#Program will compute the total amount of tax owed based on the following:

#Income Tax
#0 - $45,000 = 0.15 x income
#$45,001 - $90,000 = 6750 + 0.20 x (income – 45000)
#$90,001 - $140,000 = 15750 + 0.26 x (income – 90000)
#$140,001 - $200,000 = 28750 + 0.29 x (income – 140000)
#Greater than $200,000 = 46150 + 0.33 x (income – 200000)

#Dollar amounts should be in dollars and cents (float point numbers with two decimals shown).



salary = input("what is your salary: ")
Chk = salary.isdigit()
if Chk :
      salary = int(salary)
      if salary>0 and salary<=45000 :
            tax = float (0.15 * salary)
            print ("%-10s %.2f$"%("your taxes , are  : " ,tax ))
      elif salary>=45001 and salary<=90000:
            tax = 6750 + float(0.2*(salary-45000))
            print("%-10s %.2f$" % ("your taxes , are  : ", tax))
      elif salary>=90001 and salary<=140000:
            tax = 15750 + float(0.26*(salary-90000))
            print("%-10s %.2f$" % ("your taxes , are  : ", tax))
      elif salary>=140001 and salary<=200000:
            tax = 28750 + float(0.29*(salary-140000))
            print("%-10s %.2f$" % ("your taxes , are  : ", tax))
      elif salary>200000 :
            tax = 46150 + float(0.33*(salary-200000))
            print("%-10s %.2f$" % ("your taxes , are  : ", tax))
      elif salary==0:
            print ("you got taxes exemption ")

else:
      print ("not a salary at all- seems as rubbish")