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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author amalev
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskC solver = new TaskC();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskC {
        public void solve(int testNumber, FastScanner in, PrintWriter out) {
            String s = in.nextLine();
            long res = 1;
            for (int i = s.length() - 1; i >= 0; i--) {
                char c = s.charAt(i);
                int k = 0;
                if (c >= 'A' && c <= 'Z') {
                    k = 10 + c - 'A';
                } else if (c >= '0' && c <= '9') {
                    k = c - '0';
                } else if (c >= 'a' && c <= 'z') {
                    k = 36 + c - 'a';
                } else if (c == '-') {
                    k = 62;
                } else {
                    k = 63;
                }
                for (int j = 0; j < 6; j++) {
                    if ((k & 1) == 0) {
                        res = res * 3;
                        res = res % 1_000_000_007;
                    }
                    k = k >> 1;
                }
            }


            out.println(res);
        }

    }

    static class FastScanner {
        final BufferedReader input;
        String[] buffer;
        int pos;

        public FastScanner(InputStream inputStream) {
            input = new BufferedReader(new InputStreamReader(inputStream));
        }

        public String nextLine() {
            if (buffer != null && pos < buffer.length) {
                throw new RuntimeException("Buffer is not empty");
            }
            try {
                return input.readLine();
            } catch (Exception ex) {
                throw new RuntimeException(ex);
            }
        }

    }
}