《Python语言程序设计》第6章编程题答案（6.25~6.29）

wg19830119

6.25：反素数

def isprime(number):

   isprime=True

   i=2

    while i < number:

       if number % i ==0:

           isprime=False

       i+=1

    return isprime

def reverseisprime(number):

   remainder=''

   a=number

    while number != 0:

       remainder=remainder+str(number % 10)

       number=number // 10

    if isprime(int(remainder)):

       return True

def reverse(number):

   remainder=''

   a=number

    while number != 0 :

       remainder=remainder+str(number % 10)

       number=number // 10

    if int(remainder)==a:

       return True

    else:

       return False

count=0

j=2

while count < 100 :

    if (isprime(j) and not reverse(j)) and (reverseisprime(j)):

       print(format(j,'6d'),end=' ')

       count+=1

       if count % 10 ==0:

           print()

   j+=1

6.26:梅森素数：

def isPrime(number):

   isprime=True

   i=2

   while i < number:

       if number % i ==0:

            isprime=False

       i+=1

   return isprime

def meisenPrime():

   print('p   2^p-1')

   for p in range(2,32):

       number=2**p-1

       if isPrime(number):

            print(p,'\t',number)

meisenPrime()

6.27：双素数：

def isPrime(number):

   isprime=True

   i=2

   while i < number:

       if number % i ==0:

            isprime=False

       i+=1

   return isprime

def doublePrime():

   for i in range(2,1000):

       if isPrime(i):

            if isPrime(i+2):

                print(i,i+2)

      

doublePrime()

6.28：

import random

def point():

   number1=random.randint(1,6)

   number2=random.randint(1,6)

   return number1+number2

number1=random.randint(1,6)

number2=random.randint(1,6)

if (number1+number2==2) or (number1+number2==3) or (number1+number2==12):

   print('you rolled '+str(number1)+'+'+str(number2)+'='+str(number1+number2))

   print('you lose!')

elif (number1+number2==7) or (number1+number2==11) :

   print('you rolled '+str(number1)+'+'+str(number2)+'='+str(number1+number2))

   print('you win!')

elif (number1+number2==4)or (number1+number2==5)or(number1+number2==6)or(number1+number2==8)or(number1+number2==9)or(number1+number2==10):

   point1=number1+number2

   point2=point()

   if point2==7:

       print('point1 is'+str(point1))

       print('point2 is'+str(point2)+'you lose')

   elif point2==point1:

       print('point1 is'+str(point1))

       print('point2 is'+str(point2)+'you win')

   while point2!=7 and point2!=point1:

       point2=point()

       if point2==7:

            print('point1 is'+str(point1))

            print('point2 is'+str(point2)+'you lose')

       elif point2==point1:

            print('point1 is'+str(point1))

            print('point2 is'+str(point2)+'you win')

   

6.29:

def reverse(number):

    sum=''

    while number != 0:

       remainder=number%10

       number=number // 10

       sum=sum+str(remainder)

    return int(sum)

def isValid(number):

   isValid=False

    if 1000000000000<= number <=9999999999999999:

       reverseNumber=reverse(number)

       if reverseNumber % 10 ==4:

           isValid=True

       elif reverseNumber % 10 ==5:

           isValid=True

       elif reverseNumber % 10 == 3 and reverseNumber// 10 % 10 ==7 :

           isValid=True

       elif reverseNumber % 10 ==6:

           isValid=True

    return isValid

  

def getSize(number):

   count=0

    while number != 0:

       number=number//10

       count+=1

    return count

def sumOfPlace(number):

   sumOfDouble=0

   sumOfsingle=0

   i=str(number)

    for j in range(getSize(number)//2):

       sumOfDouble+=( (int(i[j*2])*2) //10 ) + ( (int(i[j*2])*2) * 10 )

    for k in range(getSize(number)//2):

       sumOfsingle+=(int(i[k*2+1]))

    sum=sumOfDouble+sumOfsingle

    return sum

def main(number):

    if isValid(number):

       if sumOfPlace(number) % 10 ==0:

           return True

       else:

           return False

    else:

       print(str(number)+'is not valid')

print(main(eval(input('enter thenumber:'))))

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