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.*;
import java.util.*;

public class PreparingOlympiad {

    @SuppressWarnings("Duplicates")
    public static void main(String[] args) throws IOException {
        InputStream inputStream = System.in;
        //        InputStream inputStream = new FileInputStream(new File("test.in"));
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        int tests = 1;
        solve(tests, in, out);
        out.close();
    }

    static void solve(int testNumber, InputReader in, PrintWriter out) throws IOException {
        for (int ii = 0; ii < testNumber; ii++) {
            int n = in.nextInt(), l = in.nextInt(), r = in.nextInt(), x = in.nextInt(), N = (int) Math.pow(2d, (double) n), ans=0;
            ArrayList<Integer> probs = new ArrayList<>();
            for (int i = 0; i < n; i++) {
                probs.add(in.nextInt());
            }
            for (int i = 1; i < N; i++) {
                if((i & (i - 1)) == 0) continue;
                ArrayList<Integer> set = new ArrayList<>();
                int sum = 0;
                String code = Integer.toBinaryString(N | i).substring(1);
                for (int j = 0; j < n; j++) {
                    if (code.charAt(j) == '1') {
                        set.add(probs.get(j));
                        sum+=probs.get(j);
                    }
                }
                Collections.sort(set);
                if(sum>=l && sum<=r && set.get(set.size()-1)-set.get(0)>=x) ans++;

            }
            System.out.println(ans);
            ///////////////////////////////////
//            String arr[] = {"A", "B", "C", "D"};
//            int nn = arr.length;
//            int N = (int) Math.pow(2d, (double) nn);
//            for (int i = 1; i < N; i++) {
//                String code = Integer.toBinaryString(N | i).substring(1);
//                for (int j = 0; j < nn; j++) {
//                    if (code.charAt(j) == '1') {
//                        System.out.print(arr[j]);
//                    }
//                }
//                System.out.println();
//            }
        }
    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

    }
}
