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 VanyaAndLabel
{
	static int MOD = (int)1e9 + 7;
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		String s = sc.nextLine();
		StringBuilder sb = new StringBuilder("");
		for (int i = 0; i < s.length(); i++)
		{
			char c = s.charAt(i);
			int val = 0;
			if(c >= '0' && c <= '9')
				val = c-'0';
			if(c >= 'A' && c <= 'Z')
				val = c-'A'+10;
			if(c >= 'a' && c <= 'z')
				val = c-'a'+36;
			if(c == '-')
				val = 62;
			if(c == '_')
				val = 63;
			
			String ss = Integer.toBinaryString(val);
			int fill = 6-ss.length();
			for (int j = 0; j < fill; j++)
			{
				sb.append(0);
			}
			sb.append(ss);
		}
		
		long cnt = 1;
		for (int i = 0; i < sb.length(); i++)
		{
			if(sb.charAt(i) == '0')
				cnt = (cnt*3)%MOD;
		}
		System.out.println(cnt);
		sc.close();
	}
}