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 PYTHON3):

Solution:
conversaoBase64 = {"-": 62, "_": 63}

for j in range(0, 10):
    conversaoBase64[str(j)] = j

j = 10
for i in range(ord('A'), ord('Z') + 1):
    conversaoBase64[chr(i)] = j
    j += 1

j = 36
for i in range(ord('a'), ord('z') + 1):
    conversaoBase64[chr(i)] = j
    j += 1

palavra = list(input())

cont = 0
for letra in palavra:
    letraBase64 = conversaoBase64[letra]
    for i in range(6):
        if (letraBase64 >> i & 1) == 0: # verificar o valor do bit i na representação binário do número
            cont += 1

c = 1000000007
print(3 ** cont % c)