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:
#!/usr/bin/env python
# -*- coding: UTF-8 -*-
import time
import sys
import io
import re
import math
import itertools
import collections
import bisect
#sys.stdin=file('input.txt')
#sys.stdout=file('output.txt','w')
#10**9+7
mod=1000000007
#mod=1777777777
pi=3.141592653589
IS=float('inf')
xy=[(1,0),(-1,0),(0,1),(0,-1)]
bs=[(-1,-1),(-1,1),(1,1),(1,-1)]
def gcd(a,b): return a if b==0 else gcd(b,a%b)
def lcm(a,b): return a*b/gcd(a,b)
def euclid_dis(x1,y1,x2,y2): return ((x1-x2)**2+(y1-y2)**2)**0.5
def choco(xa,ya,xb,yb,xc,yc,xd,yd): return 1 if abs((yb-ya)*(yd-yc)+(xb-xa)*(xd-xc))<1.e-10 else 0

s=raw_input()
l=[729, 243, 243, 81, 243, 81, 81, 27, 243, 81, 81, 27, 81, 27, 27, 9, 243, 81, 81, 27, 81, 27, 27, 9, 81, 27, 27, 9, 27, 9, 9, 3, 243, 81, 81, 27, 81, 27, 27, 9, 81, 27, 27, 9, 27, 9, 9, 3, 81, 27, 27, 9, 27, 9, 9, 3, 27, 9, 9, 3, 9, 3, 3, 1]
ans=1
for i in s:
    if i=='-':
        ans*=l[-2]
    elif i=='_':
        ans*=l[-1]
    elif i.isdigit():
        ans*=l[int(i)]
    elif i.isupper():
        ans*=l[ord(i)-55]
    else:
        ans*=l[ord(i)-61]
    ans%=mod
print ans