暑假练习赛 006 E Vanya and Label(数学)

Vanya and LabelCrawling in process... Crawling failed Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

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Description

 

Input

 

Output

 

Sample Input

 

Sample Output

 

Hint

 

Description

While walking down the street Vanya saw a label "Hide&Seek". Because he is a programmer, he used & as a bitwise AND for these two words represented as a integers in base 64 and got new word. Now Vanya thinks of some string s and wants to know the number of pairs of words of length |s| (length of s), such that their bitwise AND is equal to s. As this number can be large, output it modulo 109 + 7.

To represent the string as a number in numeral system with base 64 Vanya uses the following rules:

  • digits from '0' to '9' correspond to integers from 0 to 9;
  • letters from 'A' to 'Z' correspond to integers from 10 to 35;
  • letters from 'a' to 'z' correspond to integers from 36 to 61;
  • letter '-' correspond to integer 62;
  • letter '_' correspond to integer 63.

Input

The only line of the input contains a single word s (1 ≤ |s| ≤ 100 000), consisting of digits, lowercase and uppercase English letters, characters '-' and '_'.

Output

Print a single integer — the number of possible pairs of words, such that their bitwise AND is equal to string s modulo 109 + 7.

Sample Input

 

Input
z
Output
3
Input
V_V
Output
9
Input
Codeforces
Output
130653412

Sample Output

 

Hint

For a detailed definition of bitwise AND we recommend to take a look in the corresponding article in Wikipedia.

In the first sample, there are 3 possible solutions:

  1. z&_ = 61&63 = 61 = z
  2. _&z = 63&61 = 61 = z
  3. z&z = 61&61 = 61 = z
    /*
    有几个0,就有几个三
    */
    #include <string.h>
    #include <iostream>
    #include <algorithm>
    #include <stdio.h>
    #define N 100010
    using namespace std;
    const int mod =1e9+;
    /*void inti()
    {
    for(int i=0;i<=63;i++)
    {
    int s=0;
    while(i)
    {
    if(i%2==0) s++;
    i/=2;
    }
    ans[i]=s;
    }
    }
    */
    int get(char c)
    {
    if(c>=''&&c<='')return c-'';
    if(c>='A'&&c<='Z')return c-'A'+;
    if(c>='a'&&c<='z')return c-'a'+;
    if(c=='-')return ;
    if(c=='_')return ;
    }
    int main()
    {
    //freopen("in.txt","r",stdin);
    char ch[N];
    long long s=;
    scanf("%s",&ch);
    for(int i=;ch[i];i++)
    {
    long long p=get(ch[i]);
    for(int j=;j<;j++)
    if(!((p>>j)&))
    s=s*%mod; //只有三种 }
    printf("%lld\n",s);
    return ;
    }
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