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.util.Map.Entry;
import java.util.StringTokenizer;
import java.util.TreeMap;

public class round355 {



	public static void main(String[] args) throws IOException {
		Scanner sc = new Scanner(System.in);
		int MOD = (int) 1e9 + 7;
		TreeMap<String, Integer> map = new TreeMap<String, Integer>();
		for (int i = 0; i <= 9; i++) {
			map.put(i + "", i);
		}
		for (int i = 0; i < 26; i++) {
			map.put((char) ('A' + i) + "", 10 + i);
		}
		for (int i = 0; i < 26; i++) {
			map.put((char) ('a' + i) + "", 36 + i);
		}
		map.put("-", 62);
		map.put("_", 63);
		String s = sc.next();
		long answer = 1;
		for (int i = 0; i < s.length(); i++) {
			int x = map.get(s.charAt(i) + "");
			for (int j = 0; j < 6; j++, x >>= 1) {
				if((x & 1) == 0)
					answer = (answer * 3) % MOD;
			}
		}
		System.out.println(answer);

	}

	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

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

		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 double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

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

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

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