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.InputStream;
import java.io.InputStreamReader;
import java.math.BigInteger;
import java.util.StringTokenizer;
import java.util.stream.IntStream;

public class Round355_C_postContest {

    private static final long MOD_10e9_PLUS_7 = 1_000_000_007L;

    public static void main(String[] args) throws IOException {
        FastReader.init(System.in);

        String s = FastReader.readString();

        // pre-compute
//        int[] possibilities = IntStream.range(0, 64)
//                .map(n -> possibilities(n))
//                .toArray();

        long solution = 1;
        for (int i = 0 ; i < s.length() ; i++) {
            int n = toBase64(s.charAt(i));
            solution = (solution * possibilities(n)) % MOD_10e9_PLUS_7;
        }

        System.out.println(solution);
    }

    private static int toBase64(char c) {
        if ('0' <= c && c <= '9') {
            return c - '0';
        } else if ('A' <= c && c <= 'Z') {
            return c - 'A' + 10;
        } else if ('a' <= c && c <= 'z') {
            return c - 'a' + 36;
        } else if (c == '-') {
            return 62;
        } else if (c == '_') {
            return 63;
        } else {
            throw new IllegalArgumentException("Unknown character '" + c + "'.");
        }
    }

    private static int possibilities(int word6) {
        int result = 1;

        for (int i = 0 ; i < 6 ; i++) {
            if ((((word6 >>> i) & 1)) == 0) {
                result *= 3;
            }
        }

        return result;
    }

    // inspired by https://www.cpe.ku.ac.th/~jim/java-io.html
    static class FastReader {
        private static BufferedReader reader;
        private static StringTokenizer tokenizer;

        static void init(InputStream input) {
            reader = new BufferedReader(new InputStreamReader(input));
            tokenizer = new StringTokenizer("");
        }

        static String readString() throws IOException {
            while (!tokenizer.hasMoreTokens()) {
                String line = reader.readLine();
                if (line == null) {
                    throw new IllegalStateException("No more input");
                }
                tokenizer = new StringTokenizer(line);
            }
            return tokenizer.nextToken();
        }

        static int readInt() throws IOException {
            return Integer.parseInt(readString());
        }

        static int[] readIntArray(int length) throws IOException {
            int[] result = new int[length];
            for (int i = 0 ; i < length ; i++) {
                result[i] = readInt();
            }
            return result;
        }

        static int[][] readIntMatrix(int rows, int cols) throws IOException {
            int[][] matrix = new int[rows][];
            for (int i = 0 ; i < rows ; i++) {
                matrix[i] = readIntArray(cols);
            }
            return matrix;
        }

        static long readLong() throws IOException {
            return Long.parseLong(readString());
        }

        static double readDouble() throws IOException {
            return Double.parseDouble(readString());
        }
    }
}