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:
#from functools import cmp_to_key
#from collections import deque
import math

mod = int(10**9+7)
N = int(1e5)+10

def main():
    d = {}
    for i in range(10):
        d[str(i)] = i
    i = 10
    for j in range(26):
        c = str(chr(ord('A')+j))
        d[c] = i
        i += 1
    for j in range(26):
        c = str(chr(ord('a') + j))
        d[c] = i
        i += 1
    d['-'] = i
    d['_'] = i+1
    s = input()

    ans = 1
    temp = [0 for i in range(64)]
    for i in range(64):
        for j in range(64):
            temp[i&j] += 1
    l = [d[c] for c in s]
    for j in l:
        ans = (temp[j]*ans+mod)%mod
    print(ans)


if __name__ == "__main__":
    main()