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

ch_hash = { '-': 62, '_': 63 }
for i, ch in enumerate(string.digits):
  ch_hash[ch] = i
for i, ch in enumerate(string.uppercase):
  ch_hash[ch] = i + 10
for i, ch in enumerate(string.lowercase):
  ch_hash[ch] = i + 36
chars = sorted(ch_hash.keys())

pair_counts = {}
for aa in chars:
  a = ch_hash[aa]
  for bb in chars:
    b = ch_hash[bb]
    c = (a & b)
    pair_counts[c] = pair_counts.setdefault(c, 0) + 1

mod = 10 ** 9 + 7
total = 1
for ch in raw_input().strip():
  c = ch_hash[ch]
  total = (total * pair_counts[c]) % mod
print(total)