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.IOException;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;


public class RobinKarp {

	
	public static void main(String[] args) throws IOException {
	
		Scanner in = new Scanner(System.in);
		
		String word = in.nextLine();
		
		Map<Character, Integer> map = new HashMap<>();
		
		for(int i=0; i<=9; i++) {
			map.put((char)('0' + i), i);
		}
		
		for(int i=10; i<=35; i++) {
			map.put((char)('A' + i - 10), i);
		}
		
		
		for(int i=36; i<=61; i++) {
			map.put((char)('a' + i - 36), i);
		}
		
		map.put('-', 62);
		map.put('_', 63);
		
		int[] ways = new int[1<<7];
		
		for(int i=0; i<64; i++) {
			
			for(int j=0; j<64; j++) {
				
				ways[i & j]++;
			
			}
		}
		
		long ans = 1;
		
		
		for(int i=0; i<word.length(); i++) {
			
			ans *= ways[map.get(word.charAt(i))];
			ans %= (int)(1e9 + 7);
					
		}
		
		System.out.println(ans);
		
		
	
	}

}