In the snake exhibition, there are n rooms (numbered 0 to n - 1) arranged in a circle, with a snake in each room. The rooms are connected by n conveyor belts, and the i-th conveyor belt connects the rooms i and (i+1) mod n. In the other words, rooms 0 and 1, 1 and 2, …, n-2 and n-1, n-1 and 0 are connected with conveyor belts.

The i-th conveyor belt is in one of three states:

  * If it is clockwise, snakes can only go from room i to (i+1) mod n. 
  * If it is anticlockwise, snakes can only go from room (i+1) mod n to i. 
  * If it is off, snakes can travel in either direction. 

<image>

Above is an example with 4 rooms, where belts 0 and 3 are off, 1 is clockwise, and 2 is anticlockwise.

Each snake wants to leave its room and come back to it later. A room is returnable if the snake there can leave the room, and later come back to it using the conveyor belts. How many such returnable rooms are there?

Input

Each test contains multiple test cases. The first line contains a single integer t (1 ≤ t ≤ 1000): the number of test cases. The description of the test cases follows. 

The first line of each test case description contains a single integer n (2 ≤ n ≤ 300 000): the number of rooms.

The next line of each test case description contains a string s of length n, consisting of only '<', '>' and '-'.

  * If s_{i} =  '>', the i-th conveyor belt goes clockwise. 
  * If s_{i} =  '<', the i-th conveyor belt goes anticlockwise. 
  * If s_{i} =  '-', the i-th conveyor belt is off. 



It is guaranteed that the sum of n among all test cases does not exceed 300 000.

Output

For each test case, output the number of returnable rooms.

Example

Input


4
4
-&gt;&lt;-
5
&gt;&gt;&gt;&gt;&gt;
3
&lt;--
2
&lt;&gt;


Output


3
5
3
0

Note

In the first test case, all rooms are returnable except room 2. The snake in the room 2 is trapped and cannot exit. This test case corresponds to the picture from the problem statement.

In the second test case, all rooms are returnable by traveling on the series of clockwise belts.
import java.util.*; import java.io.*; import java.math.*;
public class Main{
	static void solve(){//Here is the main function
		int t = nextInt();
		for(int i = 0; i < t; i++){
			int N = nextInt();
			ArrayList<String> s = nextCharArray();
			int count = 0;
			UnionFind uf = new UnionFind(N);
			Node[] list = new Node[N];
			boolean isR = false;
			boolean isL = false;
			for(int j = 0; j < N; j++){
				if(s.get(j).equals("-")){
					uf.doUnion(j, (j + 1) % N);
				}
				if(s.get(j).equals(">")){
					isR = true;
				}
				if(s.get(j).equals("<")){
					isL = true;
				}
			}
			if(isR && isL){
				for(int j = 0; j < N; j++){
					if(uf.list[j] != -1){
						count++;
					}
				}
				myout(count);
			}else{
				myout(N);
			}
		}
	}
	//Method addition frame start

static class Node{
	HashSet<Integer> child = new HashSet<>();
	Node(){}
}

static class UnionFind{
  int[] list;
  UnionFind(int size){
    list = new int[size];
    for(int i = 0; i < size; i++){
      list[i] = -1;
    }
  }
  boolean isSame(int mae, int ato){
    return getRootIndex(mae) == getRootIndex(ato);
  }
  int getRootIndex(int index){
    if(list[index] < 0){
      return index;
    }else{
      list[index] = getRootIndex(list[index]);
      return list[index];
    }
  }
  void doUnion(int mae, int ato){
    int maeRoot = getRootIndex(mae);
    int atoRoot = getRootIndex(ato);
    if(!isSame(maeRoot, atoRoot)){
      if(maeRoot >= atoRoot){
        list[maeRoot] += list[atoRoot];
        list[atoRoot] = maeRoot;
      }else{
        list[atoRoot] += list[maeRoot];
        list[maeRoot] = atoRoot;
      }
    }
  }
  int getSize(int index){
    return -list[getRootIndex(index)];
  }
}

	//Method addition frame end

	//Don't have to see. start------------------------------------------
	static class InputIterator{
		ArrayList<String> inputLine = new ArrayList<String>(1024);
		int index = 0; int max; String read;
		InputIterator(){
			BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
			try{
				while((read = br.readLine()) != null){
					inputLine.add(read);
				}
			}catch(IOException e){}
			max = inputLine.size();
		}
		boolean hasNext(){return (index < max);}
		String next(){
			if(hasNext()){
				return inputLine.get(index++);
			}else{
				throw new IndexOutOfBoundsException("There is no more input");
			}
		}
	}
	static HashMap<Integer, String> CONVSTR = new HashMap<Integer, String>();
	static InputIterator ii = new InputIterator();//This class cannot be used in reactive problem.
	static PrintWriter out = new PrintWriter(System.out);
	static void flush(){out.flush();}
	static void myout(Object t){out.println(t);}
	static void myerr(Object t){System.err.print("debug:");System.err.println(t);}
	static String next(){return ii.next();}
	static boolean hasNext(){return ii.hasNext();}
	static int nextInt(){return Integer.parseInt(next());}
	static long nextLong(){return Long.parseLong(next());}
	static double nextDouble(){return Double.parseDouble(next());}
	static ArrayList<String> nextStrArray(){return myconv(next(), 8);}
	static ArrayList<String> nextCharArray(){return myconv(next(), 0);}
	static ArrayList<Integer> nextIntArray(){
		ArrayList<String> input = nextStrArray(); ArrayList<Integer> ret = new ArrayList<Integer>(input.size());
		for(int i = 0; i < input.size(); i++){
			ret.add(Integer.parseInt(input.get(i)));
		}
		return ret;
	}
	static ArrayList<Long> nextLongArray(){
		ArrayList<String> input = nextStrArray(); ArrayList<Long> ret = new ArrayList<Long>(input.size());
		for(int i = 0; i < input.size(); i++){
			ret.add(Long.parseLong(input.get(i)));
		}
		return ret;
	}
	@SuppressWarnings("unchecked")
	static String myconv(Object list, int no){//only join
		String joinString = CONVSTR.get(no);
		if(list instanceof String[]){
			return String.join(joinString, (String[])list);
		}else if(list instanceof ArrayList){
			return String.join(joinString, (ArrayList)list);
		}else{
			throw new ClassCastException("Don't join");
		}
	}
	static ArrayList<String> myconv(String str, int no){//only split
		String splitString = CONVSTR.get(no);
		return new ArrayList<String>(Arrays.asList(str.split(splitString)));
	}
	public static void main(String[] args){
		CONVSTR.put(8, " "); CONVSTR.put(9, "\n"); CONVSTR.put(0, "");
		solve();flush();
	}
	//Don't have to see. end------------------------------------------
}
