Problem1926--Vanya and Label

1926: Vanya and Label

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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|≤100000), 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.

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

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

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