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.*;
import java.util.StringTokenizer;

public class CFR355Div2C {

    public static void main(String[] args) throws IOException {
        CFR355Div2C solver = new CFR355Div2C();
        solver.solve();
    }

    final long mod = 1000000007;

    private void solve() throws IOException {
        FastScanner sc = new FastScanner(System.in);
//        sc = new FastScanner("V_V");
//        sc = new FastScanner("z");
//        sc = new FastScanner("Codeforces");

        String s = sc.next();

        long res = 1;

        for (int i = 0; i < s.length(); i++) {
            char c = s.charAt(i);
            int v = value(c);

            for (int j = 0; j < 6; j++) {
                int bit = (v >> j) & 1;
                res *= bit == 1 ? 1 : 3;
                res %= mod;
            }
        }

        System.out.println(res);

    }

    private static int value(char c) {
        if (c >= '0' && c <= '9') return c - '0';
        if (c >= 'A' && c <= 'Z') return 10 + c - 'A';
        if (c >= 'a' && c <= 'z') return 36 + c - 'a';
        if (c == '-') return 62;
        if (c == '_') return 63;
        return 0;
    }

    private static class FastScanner {
        private BufferedReader br;
        private StringTokenizer st;

        public FastScanner(InputStream in) throws IOException {
            br = new BufferedReader(new InputStreamReader(in));
        }

        public FastScanner(File file) throws IOException {
            br = new BufferedReader(new FileReader(file));
        }

        public FastScanner(String s) {
            br = new BufferedReader(new StringReader(s));
        }

        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                    return "";
                }
            }
            return st.nextToken();
        }

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

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

}