2018-05-26 日常杂记 一道古老的智力题——奇怪的问题

在算法书上看到这样一道题,我觉得很有意思,但是却没有办法搞出一个比较高效的方法。所以就选择用程序员的暴力美学来做。好孩子不要学,现在跑还来得及。。。。。

请回答下面10个问题,各题都恰有一个答案是正确的:
(1)第一个答案是B的问题是哪一个?
A、2
B、3
C、4
D、5
E、6
(2)恰好有两个连续问题的答案是一样的,它们是:
A、2,3
B、3,4
C、4,5
D、5,6
E、6,7
(3)本问题答案和哪一个问题的答案相同?
A、1
B、2
C、4
D、7
E、6
(4)答案是A的问题的个数是:
A、0
B、1
C、2
D、3
E、4
(5)本问题答案和哪一个问题的答案相同?
A、10
B、9
C、8
D、7
E、6
(6)答案是A的问题的个数和答案是什么的问题的个数相同?
A、B
B、C
C、D
D、E
E、以上都不是
(7)按照字母顺序,本问题的答案和下一个问题的答案相差几个字母?
A、4
B、3
C、2
D、1
E、0(注:A和B相差一个字母)
(8)答案是元音字母的问题的个数是:
A、2
B、3
C、4
D、5
E、6(注:A和E是元音字母)
(9)答案是辅音字母的问题的个数是:
A、一个质数
B、一个阶乘数
C、一个平方数
D、一个立方数
E、5的倍数
(10)本问题的答案是:
A、A
B、B
C、C
D、D
E、E

我用python把题目直译了,需要做的准备工作就是统计一下答案个数,还有就是第9题需要算一下十以内的符合的数,第2题第一次做的时候忽略了“恰好”,所以导致多了答案,回头修改的时候,发现这个写法是真的丑陋,但是还是挺整齐的,逃。。。。

def get_num(mydic):
    num_of_dic = {}
    num_of_dic['a']=0
    num_of_dic['b']=0
    num_of_dic['c']=0
    num_of_dic['d']=0
    num_of_dic['e']=0
    for k in mydic:
        num_of_dic[mydic[k]]=1+num_of_dic[mydic[k]]  
    return num_of_dic

def judge(dic):
    flag = True
    #1
    if dic['1']=='a':
        flag = flag and (dic['1']!='b' and dic['2']=='b') 
    if dic['1']=='b':
        flag = flag and dic['1']!='b' and dic['2']!='b' and dic['3']=='b'
    if dic['1']=='c':
        flag = flag and dic['1']!='b' and dic['2']!='b'and dic['3']!='b' and dic['4']=='b'
    if dic['1']=='d':
        flag = flag and dic['1']!='b' and dic['2']!='b'and dic['3']!='b' and dic['4']!='b' and dic['5']=='b'
    if dic['1']=='e':
        flag = flag and dic['1']!='b' and dic['2']!='b'and dic['3']!='b' and dic['4']!='b' and dic['5']!='b'and dic['6']=='b'
    if flag == False:
        return flag
    #2
    if dic['2']=='a':
        flag = flag and (
            dic['2']==dic['3'] and 
            dic['1']!=dic['2'] and 
            dic['3']!=dic['4'] and 
            dic['4']!=dic['5'] and 
            dic['5']!=dic['6'] and 
            dic['6']!=dic['7'] and 
            dic['7']!=dic['8'] and 
            dic['8']!=dic['9'] and 
            dic['9']!=dic['10'])
    if dic['2']=='b':
        flag = flag and (
            dic['3']==dic['4'] and 
            dic['1']!=dic['2'] and 
            dic['2']!=dic['3'] and 
            dic['4']!=dic['5'] and 
            dic['5']!=dic['6'] and 
            dic['6']!=dic['7'] and 
            dic['7']!=dic['8'] and 
            dic['8']!=dic['9'] and 
            dic['9']!=dic['10'])
    if dic['2']=='c':
        flag = flag and (
            dic['4']==dic['5'] and 
            dic['1']!=dic['2'] and 
            dic['3']!=dic['4'] and 
            dic['2']!=dic['3'] and 
            dic['5']!=dic['6'] and 
            dic['6']!=dic['7'] and 
            dic['7']!=dic['8'] and 
            dic['8']!=dic['9'] and 
            dic['9']!=dic['10'])
    if dic['2']=='d':
        flag = flag and (
            dic['5']==dic['6'] and 
            dic['1']!=dic['2'] and 
            dic['3']!=dic['4'] and 
            dic['4']!=dic['5'] and 
            dic['2']!=dic['3'] and 
            dic['6']!=dic['7'] and 
            dic['7']!=dic['8'] and 
            dic['8']!=dic['9'] and 
            dic['9']!=dic['10'])
    if dic['2']=='e':
        flag = flag and (
            dic['6']==dic['7'] and 
            dic['1']!=dic['2'] and 
            dic['3']!=dic['4'] and 
            dic['4']!=dic['5'] and 
            dic['5']!=dic['6'] and 
            dic['2']!=dic['3'] and 
            dic['7']!=dic['8'] and 
            dic['8']!=dic['9'] and 
            dic['9']!=dic['10'] )
    if flag == False:
        return flag
    #3 
    if dic['3']=='a':
        flag = flag and dic['1']==dic['3']
    if dic['3']=='b':
        flag = flag and dic['2']==dic['3']
    if dic['3']=='c':
        flag = flag and dic['4']==dic['3']
    if dic['3']=='d':
        flag = flag and dic['7']==dic['3']
    if dic['3']=='e':
        flag = flag and dic['6']==dic['3']    
    if flag == False:
        return flag
    #4
    if dic['4']=='a':
        flag = flag and num_ans['a']==0
    if dic['4']=='b':
        flag = flag and num_ans['a']==1
    if dic['4']=='c':
        flag = flag and num_ans['a']==2
    if dic['4']=='d':
        flag = flag and num_ans['a']==3
    if dic['4']=='e':
        flag = flag and num_ans['a']==4    
    if flag == False:
        return flag
    #5
    if dic['5']=='a':
        flag = flag and dic['5']==dic['10']
    if dic['5']=='b':
        flag = flag and dic['5']==dic['9']
    if dic['5']=='c':
        flag = flag and dic['5']==dic['8']
    if dic['5']=='d':
        flag = flag and dic['5']==dic['7']
    if dic['5']=='e':
        flag = flag and dic['5']==dic['6']    
    if flag == False:
        return flag
    #6
    if dic['6']=='a':
        flag = flag and num_ans['a']==num_ans['b']
    if dic['6']=='b':
        flag = flag and num_ans['a']==num_ans['c']
    if dic['6']=='c':
        flag = flag and num_ans['a']==num_ans['d']
    if dic['6']=='d':
        flag = flag and num_ans['a']==num_ans['e']
    if dic['6']=='e':
        flag = flag and (num_ans['a'] not in [num_ans['b'],num_ans['c'],num_ans['d'],num_ans['e']])
    if flag == False:
        return flag
    #7
    if dic['7']=='a':
        flag = flag and dic['8']=='e'
    if dic['7']=='b':
        flag = flag and dic['8']=='e'
    if dic['7']=='c':
        flag = flag and (dic['8']=='e' or dic['8']=='a')
    if dic['7']=='d':
        flag = flag and (dic['8']=='e' or dic['8']=='c')
    if dic['7']=='e':
        flag = flag and dic['8']=='e'    
    if flag == False:
        return flag    

    #8
    if dic['8']=='a':
        flag = flag and num_ans['a']+num_ans['e']==2
    if dic['8']=='b':
        flag = flag and num_ans['a']+num_ans['e']==3
    if dic['8']=='c':
        flag = flag and num_ans['a']+num_ans['e']==4
    if dic['8']=='d':
        flag = flag and num_ans['a']+num_ans['e']==5
    if dic['8']=='e':
        flag = flag and num_ans['a']+num_ans['e']==6    
    if flag == False:
        return flag
    #9
    if dic['9']=='a':
        flag = flag and (num_ans['b']+num_ans['c']+num_ans['d']  in [2,3,5,7])
    if dic['9']=='b':
        flag = flag and (num_ans['b']+num_ans['c']+num_ans['d']  in [1,2,6] )
    if dic['9']=='c':
        flag = flag and (num_ans['b']+num_ans['c']+num_ans['d'] in [1,4,9])
    if dic['9']=='d':
        flag = flag and (num_ans['b']+num_ans['c']+num_ans['d']  in[1,8])
    if dic['9']=='e':
        flag = flag and (num_ans['b']+num_ans['c']+num_ans['d']  in [0,5,10])
    if flag == False:
        return flag
    #10 
    if dic['10']=='a':
        flag = flag and dic['10']=='a'
    if dic['10']=='b':
        flag = flag and dic['10']=='b'
    if dic['10']=='c':
        flag = flag and dic['10']=='c'
    if dic['10']=='d':
        flag = flag and dic['10']=='d'
    if dic['10']=='e':
        flag = flag and dic['10']=='e'
    return flag

dic = {}
for q1 in ['a','b','c','d','e']:
    dic['1']=q1
    for q2 in ['a','b','c','d','e']:
        dic['2']=q2
        for q3 in ['a','b','c','d','e']:
            dic['3']=q3
            for q4 in ['a','b','c','d','e']:
                dic['4']=q4
                for q5 in ['a','b','c','d','e']:
                    dic['5']=q5
                    for q6 in ['a','b','c','d','e']:
                        dic['6']=q6
                        for q7 in ['a','b','c','d','e']:
                            dic['7']=q7
                            for q8 in ['a','b','c','d','e']:
                                dic['8']=q8
                                for q9 in ['a','b','c','d','e']:
                                    dic['9']=q9
                                    for q10 in ['a','b','c','d','e']:
                                        dic['10']=q10
                                        num_ans=get_num(dic)
                                        if judge(dic):
                                            print("*******************")
                                            print(dic)
                                            print(num_ans)
                                            print("*******************")
                                            
                                            

# dic['1']='c'
# dic['2']='d'
# dic['3']='e'
# dic['4']='b'
# dic['5']='e'
# dic['6']='e'
# dic['7']='d'
# dic['8']='c'
# dic['9']='b'
# dic['10']='a'
# num_ans=get_num(dic)
# if judge(dic):
#     print(dic)





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