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 JAVA):

Solution:

import java.util.Scanner;

public class codeforces {
	   
	    private static long mod = 1000000007;
	    private static long[] ways = new long[64];
	    
	    public static void pre(){
	    	
	    	int i,j;
	    	for(i=0;i<=63;++i)
	    			ways[i] = 0L;
	    	for(i=0;i<=63;++i)
	    		for(j=0;j<=63;++j)
	    			ways[i & j]++;
	    }
	    
		public static void main(String[] args){
			
			Scanner input = new Scanner(System.in);
			pre();
			String inp = input.next();
			Long ans = 1L;
			for(int i=0;i<inp.length();++i){
				int ascii = (int)inp.charAt(i);
				int va;
				if(ascii>=48 && ascii<=57)
					va = ascii-48;
				else if(ascii>=65 && ascii<=90)
					va = ascii-55;
				else if(ascii>=97 && ascii<=122)
					va = ascii-97+36;
				else if(inp.charAt(i) == '-')
					va = 62;
				else
					va = 63;
				ans = ans*ways[va];
				ans = ans%mod;
			}
			System.out.println(ans);
		}
	
}