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 C {

	public static int MOD = 1000000007;
	public static int[] ans = {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 };
	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		String s = scan.nextLine();
		
		long answer = 1;
		
		for (int i=0; i<s.length(); i++) {
			int digit=0;
			if (s.charAt(i) >= '0' && s.charAt(i) <= '9') {
				digit = s.charAt(i) - '0';
			} else if (s.charAt(i) >= 'A'&& s.charAt(i) <= 'Z') {
				digit = s.charAt(i) - 'A' + 10;
			} else if (s.charAt(i) >= 'a'&& s.charAt(i) <= 'z') { 
				digit = s.charAt(i) - 'a' + 36;
			} else if (s.charAt(i) == '-') {
				digit = 62;
			} else if (s.charAt(i) == '_') {
				digit = 63;
			}
			
			
			answer = (answer * ans[digit])%MOD;
		}
		System.out.print(answer);

	}

}