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.
/*
     * Code Author: Anamika Modi
     * DA-IICT
     */
    import java.io.*;
import java.math.BigInteger;
import java.math.RoundingMode;
import java.text.DecimalFormat;
import java.util.*;
     
     
    public class code1 {
     
    	static double eps=(double)1e-6;
    	static long mod=(int)1e9+7;
    	public static void main(String args[]){
    		InputReader in = new InputReader(System.in);
    		OutputStream outputStream = System.out;
    		PrintWriter out = new PrintWriter(outputStream);
    		//----------My Code----------
    		int n=in.nextInt();
    		int up=0;int lr=0;int total=0;
    		String s=in.nextLine();
    		for(int  c = 0 ; c < s.length() ; c++ )
    	      {
    	         for(int i = 1 ; i <= s.length() - c ; i++ )
    	         {
    	            String sub = s.substring(c, c+i);
    	          //  System.out.println(sub);
    	            for(int j=0;j<sub.length();j++){
    	            	if(sub.charAt(j)=='U')
    	            		up++;
    	            	else if(sub.charAt(j)=='D')
    	            		up--;
    	            	else if(sub.charAt(j)=='L')
    	            		lr++;
    	            	else if(sub.charAt(j)=='R')
    	            		lr--;
    	            }
    	            if(up==0&&lr==0&&(!(sub.equals(""))))
    	            		total++;
    	            up=0;lr=0;
    	         }
    	      }
    		System.out.println(total);
    	
    		//---------------The End------------------
    		
    	} 
    	
    	
    	static long modulo(long a,long b,long c) {
    	    long x=1;
    	    	    long y=a;
    	    	    while(b > 0){
    	    	        if(b%2 == 1){
    	    	            x=(x*y)%c;
    	    	        }
    	    	        y = (y*y)%c; // squaring the base
    	    	        b /= 2;
    	    	    }
    	    	    return  x%c;
    	    	}
    	static long gcd(long x, long y)
        {
            long r=0, a, b;
            a = (x > y) ? x : y; // a is greater number
            b = (x < y) ? x : y; // b is smaller number
            r = b;
            while(a % b != 0)
            {
                r = a % b;
                a = b;
                b = r;
            }
            return r;
        }
    	static class Pair implements Comparable<Pair>{
    		long x;
    		long y;
    		int i;
    		Pair(long xx,long yy){
    			x=xx;
    			y=yy;
    		}
    		@Override
    		public int compareTo(Pair o) {
    			if(this.y==o.y)
					return Long.compare((this.x),(o.x));
				else
					return Long.compare((this.y),(o.y));
    		}
    	}
    	
    	static class InputReader {
    	    public BufferedReader reader;
    	    public StringTokenizer tokenizer;
     
    	    public InputReader(InputStream inputstream) {
    	      reader = new BufferedReader(new InputStreamReader(inputstream));
    	      tokenizer = null;
    	    }
    	    
    	    public 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;
    	    }
    		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 long nextLong() {
    		      return Long.parseLong(next());
    		    }
    	    public int nextInt() {
    	      return Integer.parseInt(next());
    	    }
    	  }
    } 