You have n problems. You have estimated the difficulty of the i-th one as integer ci. Now you want to prepare a problemset for a contest, using some of the problems you've made.

A problemset for the contest must consist of at least two problems. You think that the total difficulty of the problems of the contest must be at least l and at most r. Also, you think that the difference between difficulties of the easiest and the hardest of the chosen problems must be at least x.

Find the number of ways to choose a problemset for the contest.

Input

The first line contains four integers n, l, r, x (1 ≤ n ≤ 15, 1 ≤ l ≤ r ≤ 109, 1 ≤ x ≤ 106) — the number of problems you have, the minimum and maximum value of total difficulty of the problemset and the minimum difference in difficulty between the hardest problem in the pack and the easiest one, respectively.

The second line contains n integers c1, c2, ..., cn (1 ≤ ci ≤ 106) — the difficulty of each problem.

Output

Print the number of ways to choose a suitable problemset for the contest. 

Examples

Input

3 5 6 1
1 2 3


Output

2


Input

4 40 50 10
10 20 30 25


Output

2


Input

5 25 35 10
10 10 20 10 20


Output

6

Note

In the first example two sets are suitable, one consisting of the second and third problem, another one consisting of all three problems.

In the second example, two sets of problems are suitable — the set of problems with difficulties 10 and 30 as well as the set of problems with difficulties 20 and 30.

In the third example any set consisting of one problem of difficulty 10 and one problem of difficulty 20 is suitable.

import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;
import java.util.TreeSet;


public class architrtttt {

    static class FastScanner{
        BufferedReader s;
        StringTokenizer st;
        
        public FastScanner(){
            st = new StringTokenizer("");
            s = new BufferedReader(new InputStreamReader(System.in));
        }
        
        public FastScanner(File f) throws FileNotFoundException{
            st = new StringTokenizer("");
            s = new BufferedReader (new FileReader(f));
        }
        
        public int nextInt() throws IOException{
            if(st.hasMoreTokens())
                return Integer.parseInt(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextInt();
            }
        }
        
      public double nextDouble() throws IOException{
            if(st.hasMoreTokens())
                return Double.parseDouble(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextDouble();
            }
        }
      
        public long nextLong() throws IOException{
            if(st.hasMoreTokens())
                return Long.parseLong(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextLong();
            }
        }
        
        public String nextString() throws IOException{
            if(st.hasMoreTokens())
                return st.nextToken();
            else{
                st = new StringTokenizer(s.readLine());
                return nextString();
            }
            
        }
        public String readLine() throws IOException{
            return s.readLine();
        }
        
        public void close() throws IOException{
            s.close();
        }
        
    }
     private static FastScanner s = new FastScanner();   
     private static PrintWriter ww = new PrintWriter(new OutputStreamWriter(System.out));
     
      static int count=0;
      static int inf= Integer.MAX_VALUE/2;
      static long n,l,r,m,ways;
     public static void main(String[] args) throws IOException 
     {
        
         int n=s.nextInt();
         l=s.nextLong();
         r=s.nextLong();
         m=s.nextLong();
        long a[] = new long[n];
        for(int i=0;i<n;i++)a[i]=s.nextLong();
         findSubsets(a);
         System.out.println(""+ways);
         s.close();
         ww.close();
     }
    static void findSubsets(long array[])
{
  int numOfSubsets = 1 << array.length; 

  for(int i = 0; i < numOfSubsets; i++)
 {
    int pos = array.length - 1;                                /////bitmask to find all sub sets
     int bitmask = i;
     

   long sum=0;int count=0;
  //   System.out.print("{");
     TreeSet<Long> tr = new TreeSet<>();
   while(bitmask > 0)
   {
    if((bitmask & 1) == 1)
    {
        /*System.out.print("  "+array[pos]);*/tr.add(array[pos]);
        sum+=array[pos];count++;
       
    }
    bitmask >>= 1;
    pos--;
   }
     //System.out.print(" }");
     if(!tr.isEmpty())
     {     
              //  System.out.println("  sum "+sum+"  "+tr.last()+"  "+tr.first()+"  "+(sum>=l && sum<=r) +"  "+l+"  "+r);
                if(sum>=l && sum<=r && (tr.last()-tr.first())>= m &&(count!=1))ways++;
               
     } 
 }
}
   
	
}
/*zabardast swappimng of sorting
/*
    Arrays.sort(m, new Comparator<int[]>() {
                        @Override
                        public int compare(int[] int1, int[] int2)
                        {
                            Integer number1 = int1[1];
                            Integer number2 = int2[1];
                            return number1.compareTo(number2);
                        }
                         });
*/
/*
static final Point getMinMax(int[] array) {
		int min = array[0];
		int max = array[0];
		
		for (int index = 0, size = array.length; index < size; ++index, ++index) {
			int value = array[index];
			
			if (index == size - 1) {
				min = min(min, value);
				max = max(max, value);
			} else {
				int otherValue = array[index + 1];
				
				if (value <= otherValue) {
					min = min(min, value);
					max = max(max, otherValue);
				} else {
					min = min(min, otherValue);
					max = max(max, value);
				}
			}
		}
		
		return new Point(min, max);
	}
	
*/
/*

/// Demonstrate several Is... methods.
class IsDemo {
public static void main(String args[]) {
char a[] = {'a', 'b', '5', '?', 'A', ' '};
for(int i=0; i<a.length; i++) {
if(Character.isDigit(a[i]))                                   ///check if digit is present in string
System.out.println(a[i] + " is a digit.");
if(Character.isLetter(a[i]))
    System.out.println(num + " in binary: " +
Integer.toBinaryString(num));
System.out.println(num + " in octal: " +
Integer.toOctalString(num));
System.out.println(num + " in hexadecimal: " +
Integer.toHexString(num));
}
}
*/
/*
private static void findSubsets(int array[])
{
  int numOfSubsets = 1 << array.length; 

  for(int i = 0; i < numOfSubsets; i++)
 {
    int pos = array.length - 1;                                /////bitmask to find all sub sets
   int bitmask = i;

   System.out.print("{");
   while(bitmask > 0)
   {
    if((bitmask & 1) == 1)
     System.out.print(array[pos]+",");
    bitmask >>= 1;
    pos--;
   }
   System.out.print("}");
 }
}
*/

/*   no of DIVISORSSSSSS
 public ArrayList<Integer> get(int x){
            ArrayList<Integer> divisors = new ArrayList<>();
            for(int i = 1; i * i <= x; i++){
                if(x % i == 0){
                    divisors.add(i);
                    if(i * i != x){
                        divisors.add( x / i);
                    }
                }
            }
            
*/
/*  //// find sum of multiple of a value below limit// ----> (l*(n+1))/2
  public static long getSequenceSum(long value, long limit) {
long q = (limit - 1) / value;
long ans = ((value*q)*(1+q) )/ 2;
return ans;
}
*/
/*// largest prime factor of a no
 public static long largestPrimeFactor(long n) {

        // largest composite factor must be smaller than sqrt
        long sqrt = (long)Math.ceil(Math.sqrt((double)n));

        long largest = -1;

        for(long i = 2; i <= sqrt; i++) {
            if(n % i == 0) {
                long test = largestPrimeFactor(n/i);
                if(test > largest) {
                    largest = test;
                }
            }
        }

        if(largest != -1) {
            return largest;
        }

        // number is prime
        return n;
    } 
*/
/*    // prime no using sieve of erostheneses
  public static void prime()
{
  boolean[] isPrime = new boolean[100000000+ 1];
         Arrays.fill(isPrime, true);

        // mark non-primes <= N using Sieve of Eratosthenes
        for (int i = 2; i*i <= 100000000; i++)
        {

             if (isPrime[i])
             {
                for (int j = i; i*j <= 100000000; j++) {
                    isPrime[i*j] = false;
                }
            }
        }
}

*/
/*//// largest common sequences
 public String lcs(String str1, String str2)
    {
        int l1 = str1.length();
        int l2 = str2.length();
 
        int[][] arr = new int[l1 + 1][l2 + 1];
 
        for (int i = l1 - 1; i >= 0; i--)
        {
            for (int j = l2 - 1; j >= 0; j--)
            {
                if (str1.charAt(i) == str2.charAt(j))
                    arr[i][j] = arr[i + 1][j + 1] + 1;
                else 
                    arr[i][j] = Math.max(arr[i + 1][j], arr[i][j + 1]);
            }
        }
 
        int i = 0, j = 0;
        StringBuffer sb = new StringBuffer();
        while (i < l1 && j < l2) 
     
 {
            if (str1.charAt(i) == str2.charAt(j)) 
            {
                sb.append(str1.charAt(i));
                i++;
                j++;
            }
            else if (arr[i + 1][j] >= arr[i][j + 1]) 
                i++;
            else
                j++;
        }
        return sb.toString();
    }
 
*/