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:
import sys
import math

def bitfield(n):
    return [int(digit) for digit in bin(n)[2:]] 

def getzeros(n):
    result = 0
    bf = bitfield(n)
    for i in bf:
        if i == 0:
            result += 1
    result += 6-len(bf)
    return result

def getnum(ch):
    if (ord(ch) == ord('-')):
        return 62
    if (ord(ch) == ord('_')):
        return 63
    if ord(ch)-ord('0') <= 9:
        return ord(ch)-ord('0')

    if 10+ord(ch)-ord('A') <= 35:
        return 10+ord(ch)-ord('A')

    if 36+ord(ch)-ord('a') <= 61:
        return 36+ord(ch)-ord('a') 

combinations = [1]*64

for i in '0123456789':
    combinations[getnum(i)] = 3**getzeros(getnum(i))
for i in 'ABCDEFGHIJKLMNOPQRSTUVWXYZ':
    combinations[getnum(i)] = 3**getzeros(getnum(i))
for i in 'abcdefghijklmnopqrstuvwxyz':
    combinations[getnum(i)] = 3**getzeros(getnum(i))
combinations[getnum('-')] = 3**getzeros(getnum('-'))
combinations[getnum('_')] = 3**getzeros(getnum('_'))

# for k,v in combinations.items():
#     print(k,v)

word = input()
result = 1
for i in word:
    result = (result*combinations[getnum(i)])%1000000007
print(result)