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:
s = map(str, raw_input())
n = len(s)
a = []

for i in range(n):
    if s[i] in list('0123456789'):
        a.append(ord(s[i])-48)
    elif s[i] in list('ABCDEFGHIJKLMNOPQRSTUVWXYZ'):
        a.append(ord(s[i])-55)
    elif s[i] in list('abcdefghijklmnopqrstuvwxyz'):
        a.append(ord(s[i])-61)
    elif s[i] == '-':
        a.append(62)
    elif s[i] == '_':
        a.append(63)

res = 1
for i in range(n):
    x = a[i]
    b = []
    for j in range(6):
        b.append(x%2)
        x/=2
    y = b.count(0)
    if y != 0:
        res *= 3**y
    res %= 1000000007
print res % 1000000007