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.*;
import java.io.*;
public class Main {
	public static void main(String[] args) throws IOException {
		Scanner in = new Scanner(System.in);
		String s = in.next();
		int modulo = 10*10*10*10*10*10*10*10*10+7;
		long prod = 1;
		char[] chars = s.toCharArray();
		int[] vals = {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};
		for(char c : chars) {
			prod*=vals[to64(c)];
			prod%=modulo;
		}
		System.out.println(prod);
	}
	public static int to64(char c) {
		if('0'<=c && c<='9')
			return c-'0';
		else if('a'<=c && c<='z')
			return 36+c-'a';
		else if('A'<=c && c<='Z')
			return 10+c-'A';
		else if(c=='-')
			return 62;
		else
			return 63;
	}
}