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 Main {
	
	public static final int mode = (int) (1e9+7);
	
	public static int charToInt (char c){
		if ( c >= '0' && c <= '9' ) return c - '0';
		if ( c >= 'A' && c <= 'Z') return 10 + c - 'A';
		if ( c >= 'a' && c <= 'z') return 36 + c - 'a';
		if ( c == '-' ) return 62;
		if ( c == '_' ) return 63;
		return 0;
	}
	
	public static void main(String[] args) {
		
		Scanner scanner = new Scanner(System.in);
		String s = scanner.next();
		long result = 1;
		for ( int i = 0; i <s.length(); i++ ){
			int num = charToInt(s.charAt(i));
			for ( int j = 0; j < 6; j++ ){
				if (((num >> j) & 1) == 0){
					result =  result * 3 % mode;
				}
			}
		}
		System.out.println(result);
	}
}