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.util.*;
import java.io.*;

public class Test{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
	//	PrintWriter w = new PrintWriter(System.out);
		String s=sc.nextLine();
		long ans=0;
		for(int i=0;i<s.length();i++){
			char c=s.charAt(i);
			int k;
			if(c>='0'&&c<='9'){
				k=c-48;
			}
			else if(c>='A'&&c<='Z'){
				k=c-65+10;
			}
			else if(c>='a'&&c<='z'){
				k=c-97+36;
			}
			else if(c=='-') k=62;
			else k=63;
			
			String nw=Integer.toBinaryString(k);
		//	System.out.println(nw);
			int l=nw.length();
			for(int j=0;j<6;j++){
				if(j<l&&nw.charAt(j)=='0') ans++;
				else if(j>=l) ans++;
			}
			ans=ans%(power(10,9)+7);
		}
		long x=power(3,ans);
		long y=x;
		ans=y%((int)power(10, 9)+7);
		//System.out.println(((int)power(10,9)+7));
		System.out.println(ans);
	}
	public static long power(long a,long b)
	{
	    long ans=1;
	    while(b>0)
	    {
	        if(b%2==1)
	        {
	            ans*=a;
	            ans=ans%1000000007;
	        }
	        a*=a;
	        a=a%1000000007;
	        b/=2;
	    }
	    return ans%1000000007;
	}
}

class InputReader{
	private InputStream stream;
	private byte[] buf = new byte[1024];
	private int curChar;
	private int numChars;
	private SpaceCharFilter filter;
 
	public InputReader(InputStream stream) {
		this.stream = stream;
	}
 
	public static boolean isWhitespace(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}
	
	public int read() {
		if (numChars == -1)
			throw new InputMismatchException();
		if (curChar >= numChars) {
			curChar = 0;
			try {
				numChars = stream.read(buf);
			} catch (IOException e) {
				throw new InputMismatchException();
			}
			if (numChars <= 0)
				return -1;
		}
		return buf[curChar++];
	}
 
	public int nextInt() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		int res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}
 
	public long nextLong() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		int sgn = 1;
		if (c == '-') {
			sgn = -1;
			c = read();
		}
		long res = 0;
		do {
			if (c < '0' || c > '9')
				throw new InputMismatchException();
			res *= 10;
			res += c - '0';
			c = read();
		} while (!isSpaceChar(c));
		return res * sgn;
	}
 
	public String nextToken() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		StringBuilder res = new StringBuilder();
		do {
			res.appendCodePoint(c);
			c = read();
		} while (!isSpaceChar(c));
		return res.toString();
	}
 
	public String nextLine() {
		int c = read();
		while (isSpaceChar(c))
			c = read();
		StringBuilder res = new StringBuilder();
		do {
			res.appendCodePoint(c);
			c = read();
		} while (!isEndOfLine(c));
		return res.toString();
	}

	public int[] nextIntArray(int n) {
		int[] arr = new int[n];
		for (int i = 0; i < n; i++) {
			arr[i] = nextInt();
		}
		return arr;
	}
	  
	public long[] nextLongArray(int n) {
		long[] arr = new long[n];
		for (int i = 0; i < n; i++) {
			arr[i] = nextLong();
		}
		return arr;
	}

	public void pArray(int[] arr){
		for (int i=0; i<arr.length; i++) {
			System.out.print(arr[i] + " ");
		}
		System.out.println();
		return;
	}

	public void pArray(long[] arr){
		for (int i=0; i<arr.length; i++) {
			System.out.print(arr[i] + " ");
		}
		System.out.println();
		return;		
	}

	public boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return isWhitespace(c);
	}
 
	private boolean isEndOfLine(int c) {
		return c == '\n' || c == '\r' || c == -1;
	}
	
	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}

}