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:

memo1 = {}
def to_int(d):
    if d in memo1:
        return memo1[d]
    if d >= 'a' and d <= 'z':
        result = ord(d) - 61
    elif d >= 'A' and d <= 'Z':
        result = ord(d) - 55
    elif d >= '0' and  d <= '9':
        result = ord(d) - 48
    elif d == '-':
        result = 62
    else:
        result = 63
    memo[d] = result
    return result

memo = {}
def num_0(d):
    if d in memo:
        return memo[d]
    else:
        result = 6 - bin(d)[2:].count('1')
        memo[d] = result
        return result


pairs = 1
for c in raw_input():
    pairs *= 3 ** num_0(to_int(c))
    pairs %= (10**9 + 7)

print pairs