Calvin the robot lies in an infinite rectangular grid. Calvin's source code contains a list of n commands, each either 'U', 'R', 'D', or 'L' — instructions to move a single square up, right, down, or left, respectively. How many ways can Calvin execute a non-empty contiguous substrings of commands and return to the same square he starts in? Two substrings are considered different if they have different starting or ending indices.

Input

The first line of the input contains a single positive integer, n (1 ≤ n ≤ 200) — the number of commands.

The next line contains n characters, each either 'U', 'R', 'D', or 'L' — Calvin's source code.

Output

Print a single integer — the number of contiguous substrings that Calvin can execute and return to his starting square.

Examples

Input

6
URLLDR


Output

2


Input

4
DLUU


Output

0


Input

7
RLRLRLR


Output

12

Note

In the first case, the entire source code works, as well as the "RL" substring in the second and third characters.

Note that, in the third case, the substring "LR" appears three times, and is therefore counted three times to the total result.
import java.io.*;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.StringTokenizer;

public class A1008 {
    public static void main(String [] args) /*throws Exception*/ {
        InputStream inputReader = System.in;
        OutputStream outputReader = System.out;
        InputReader in = new InputReader(inputReader);//new InputReader(new FileInputStream(new File("input.txt")));new InputReader(inputReader);
        PrintWriter out = new PrintWriter(outputReader);//new PrintWriter(new FileOutputStream(new File("output.txt")));
        Algorithm solver = new Algorithm();
        solver.solve(in, out);
        out.close();
    }
}

class Algorithm {
    void solve(InputReader ir, PrintWriter pw) {

        int n = ir.nextInt(), count = 0, maxIn = (n % 2 == 0 ? n : n - 1);
        String line = ir.next(), test;

        for (int i = 2; i <= maxIn; i += 2) {
            for (int j = 0, co1, co2; j <= n - i; j++) {
                co1 = 0;
                co2 = 0;
                test = line.substring(j, j + i);
                for (int k = 0; k < i; k++) {
                    char symb = test.charAt(k);
                    if (symb == 'R') co1++;
                    else if (symb == 'L') co1--;
                    else if (symb == 'U') co2++;
                    else co2--;
                }

                if (co1 == 0 && co2 == 0) count++;

            }
        }

        pw.print(count);

    }

    private static void Qsort(int[] array, int low, int high) {

        int i = low;
        int j = high;
        int x = array[low + (high - low) / 2];

        do {
            while (array[i] < x) ++i;
            while (array[j] > x) --j;
            if (i <= j) {
                int tmp = array[i];
                array[i] = array[j];
                array[j] = tmp;
                i++;
                j--;
            }
        } while (i <= j);

        if (low < j) Qsort(array, low, j);
        if (i < high) Qsort(array, i, high);

    }
}

class InputReader {
    private BufferedReader reader;
    private StringTokenizer tokenizer;

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

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

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

    String [] toArray() {
        return nextLine().split(" ");
    }

    int nextInt() {
        return Integer.parseInt(next());
    }
    double nextDouble() {
        return Double.parseDouble(next());
    }
    long nextLong() {
        return Long.parseLong(next());
    }

}