spoj 10649 镜子数的统计(正过来反过去一样)

101为镜子数,100不是,并且121也不是,因为2反过来会变成s形,所以这题的思路只用考虑0,1,8也就是一个三进制的数就可以了。

 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cstring>
 4 #include<cmath>
 5 #include<cstdlib>
 6 #include<algorithm>
 7 using std::cout;
 8 using std::endl;
 9 using std::cin;
10 typedef long long LL;
11 int const N = 50;
12 LL dp[N],f[N];
13 char tmp[N];
14 void pre()
15 {
16      f[0]=1;
17      f[1]=3;
18      for(int i=2;i<=45;i++)
19          if(i&1)f[i]=f[i-1]*3;
20          else f[i]=f[i-1];
21      dp[1]=3;
22      dp[2]=2;
23      for(int i=3;i<=45;i++)
24          if(i&1)dp[i]=dp[i-1]*3;
25          else dp[i]=dp[i-2]*3;
26 }
27 bool OK(char s)
28 {
29      return (s=='0'||s=='1'||s=='8');
30 }
31 LL judge(char c,int len)
32 {
33      char str[50];
34      int up=(len>>1);
35      for(int i=0;i<up;i++)
36      {
37          if(!OK(tmp[i]))return 0;
38          str[i]=str[len-i-1]=tmp[i];
39      }
40      if(len&1)str[up]=c;
41      str[len]='\0';
42      return strcmp(tmp,str)>=0;
43 }
44 LL getsum()
45 {
46    int len=strlen(tmp);
47    LL ans=0;
48    for(int i=1;i<len;i++)ans+=dp[i];
49    int up=len>>1;
50    for(int i=0;i<up;i++)
51    {
52        LL sum=f[len-((i+1)<<1)];
53        if(i&&tmp[i]>'0')ans+=sum;
54        if(tmp[i]>'1')ans+=sum;
55        if(tmp[i]>'8')ans+=sum;
56        if(!OK(tmp[i]))break;
57    }
58    if(len&1)
59    {
60       ans+=judge('0',len);
61       ans+=judge('1',len);
62       ans+=judge('8',len);
63    }
64    else
65       ans+=judge(0,len);
66    return ans;
67 }
68 int deal()
69 {
70     int len=strlen(tmp);
71     int up=(len>>1);
72     for(int i=0;i<up;i++)
73     {
74         if(!OK(tmp[i]))return 0;
75         if(tmp[i]!=tmp[len-1-i])return 0;
76     }
77     if(len&1)
78        if(!OK(tmp[up]))return 0;
79     return 1;
80 }
81 int main()
82 {
83     int T;
84     pre();
85     scanf("%d",&T);
86     while(T--)
87     {
88           scanf("%s",tmp);
89           LL ans=getsum()-deal();
90           scanf("%s",tmp);
91           ans=getsum()-ans;
92           cout<<ans<<endl;
93     }
94     return 0;
95 }
View Code
原文地址:https://www.cnblogs.com/nuoyan2010/p/3094301.html