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:

val = [729, 243, 243, 81, 243, 81, 81, 27, 243, 81, 81, 27, 81, 27, 27, 9, 243, 81, 81, 27, 81, 27, 27, 9, 81, 27, 27, 9, 27, 9, 9, 3, 243, 81, 81, 27, 81, 27, 27, 9, 81, 27, 27, 9, 27, 9, 9, 3, 81, 27, 27, 9, 27, 9, 9, 3, 27, 9, 9, 3, 9, 3, 3, 1]
alp = {
    '0' : 0, '1' : 1, '2' : 2, '3' : 3, '4' : 4, '5' : 5, '6' : 6, '7' : 7, '8' : 8, '9' : 9,
    'A' : 10, 'B' : 11, 'C' : 12, 'D' : 13, 'E' : 14, 'F' : 15, 'G' : 16, 'H' : 17, 'I' : 18,
    'J' : 19, 'K' : 20, 'L' : 21, 'M' : 22, 'N' : 23, 'O' : 24, 'P' : 25, 'Q' : 26, 'R' : 27,
    'S' : 28, 'T' : 29, 'U' : 30, 'V' : 31, 'W' : 32, 'X' : 33, 'Y' : 34, 'Z' : 35, 'a' : 36,
    'b' : 37, 'c' : 38, 'd' : 39, 'e' : 40, 'f' : 41, 'g' : 42, 'h' : 43, 'i' : 44, 'j' : 45,
    'k' : 46, 'l' : 47, 'm' : 48, 'n' : 49, 'o' : 50, 'p' : 51, 'q' : 52, 'r' : 53, 's' : 54,
    't' : 55, 'u' : 56, 'v' : 57, 'w' : 58, 'x' : 59, 'y' : 60, 'z' : 61, '-' : 62, '_' : 63
}

s = input()
ans = 1

for c in s:
    ans *= val[alp[c]]
    ans %= 1000000007
print(ans)