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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class VanyaAndLabel {

	public static void main(String[] args) throws IOException {
		BufferedReader reader=new BufferedReader(new InputStreamReader(System.in));
		String s=reader.readLine();
		StringBuilder str=new StringBuilder();
		int arr[]=new int[305];
		for(char i='0';i<='9';i++)
		{
			str.append(i);
		}
		for(char i='A';i<='Z';i++)
		{
			str.append(i);
		}
		for(char i='a';i<='z';i++)
		{
			str.append(i);
		}
		str.append('-');
		str.append('_');
		for(int i=0;i<64;i++)
		{
			arr[str.charAt(i)]=i;
		}
		long ans=1;
		for(int i=0;i<s.length();i++)
		{
			int a=arr[s.charAt(i)];
			for(int j=0;j<6;j++)
			{
				if((a&(1<<j))==0){
					ans=(ans*3)%1000000007;
				}
			}
		}
		System.out.println(ans);
	}
}