Problem: 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.

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

Solution (in PYTHON):

Solution:
import string

if __name__ == "__main__":
    s = raw_input()

    char_to_int = {str(i): 6 - bin(i).count("1") for i in range(10)}
    for i, c in enumerate(string.uppercase):
        char_to_int[c] = 6 - bin(i + 10).count("1")
    for i, c in enumerate(string.lowercase):
        char_to_int[c] = 6 - bin(i + 36).count("1")
    char_to_int['-'] = 6 - bin(62).count("1")
    char_to_int['_'] = 6 - bin(63).count("1")

    # print char_to_int
    pow_3 = sum([char_to_int[c] for c in s])
    res = 1
    for _ in range(pow_3):
        res = res * 3
        res = res % 1000000007
    print res