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2018-05-26 日常杂记 一道古老的智力题——奇怪的问题

2018-05-26 日常杂记 一道古老的智力题——奇怪的问题

作者: 家琦的三亩地 | 来源:发表于2018-05-26 11:46 被阅读0次

    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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