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.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.Hashtable;
import java.util.StringTokenizer;


public class Main {
	static Hashtable<Character, Integer> ht;
	static int [] calculated = new int [64];
	public static int numbers(char c){
		if (calculated[ht.get(c)]!=0)
			return calculated[ht.get(c)];
		int sum=1;
		for (int i=0;i<64;i++){
			for (int j=0;j<64;j++){
			if ((i&j)==ht.get(c) && i!=j) sum+=1;}
		}
		calculated[ht.get(c)]= sum;
		return sum;
		
	}
	public static void main(String[] args) throws IOException {
		Scanner s = new Scanner(System.in);
		String string = s.next();
		ht = new Hashtable<>();
		for (int i=0;i<10;i++){
			ht.put((i+"").charAt(0),i);
		} char c= 'A';
		for (int i=10;i<=35;i++){
			ht.put(c,i);
			c++;
		} c='a';
		for (int i=36;i<=61;i++){
			ht.put(c,i);
			c++;
		}
		ht.put('-',62); ht.put('_',63);
		long bi = 1;
		
		for (int i=0;i<string.length();i++){
			bi = ((bi%1000000007)*(numbers(string.charAt(i))%1000000007))%1000000007;
		}
		System.out.println(bi);
	}
}

class Scanner {
    StringTokenizer st;
    BufferedReader br;

    public Scanner(InputStream s) {
        br = new BufferedReader(new InputStreamReader(s));
    }

    public Scanner(FileReader r) {
        br = new BufferedReader(r);
    }

    public String next() throws IOException {
        while (st == null || !st.hasMoreTokens())
            st = new StringTokenizer(br.readLine());
        return st.nextToken();
    }

    public int nextInt() throws IOException {
        return Integer.parseInt(next());
    }

    public long nextLong() throws IOException {
        return Long.parseLong(next());
    }

    public String nextLine() throws IOException {
        return br.readLine();
    }

    public double nextDouble() throws IOException {
        String x = next();
        StringBuilder sb = new StringBuilder("0");
        double res = 0, f = 1;
        boolean dec = false, neg = false;
        int start = 0;
        if (x.charAt(0) == '-') {
            neg = true;
            start++;
        }
        for (int i = start; i < x.length(); i++)
            if (x.charAt(i) == '.') {
                res = Long.parseLong(sb.toString());
                sb = new StringBuilder("0");
                dec = true;
            } else {
                sb.append(x.charAt(i));
                if (dec)
                    f *= 10;
            }
        res += Long.parseLong(sb.toString()) / f;
        return res * (neg ? -1 : 1);
    }

    public boolean ready() throws IOException {
        return br.ready();
    }

}