Everyone knows that agents in Valorant decide, who will play as attackers, and who will play as defenders. To do that Raze and Breach decided to play t matches of a digit game...

In each of t matches of the digit game, a positive integer is generated. It consists of n digits. The digits of this integer are numerated from 1 to n from the highest-order digit to the lowest-order digit. After this integer is announced, the match starts.

Agents play in turns. Raze starts. In one turn an agent can choose any unmarked digit and mark it. Raze can choose digits on odd positions, but can not choose digits on even positions. Breach can choose digits on even positions, but can not choose digits on odd positions. The match ends, when there is only one unmarked digit left. If the single last digit is odd, then Raze wins, else Breach wins.

It can be proved, that before the end of the match (for every initial integer with n digits) each agent has an ability to make a turn, i.e. there is at least one unmarked digit, that stands on a position of required parity.

For each of t matches find out, which agent wins, if both of them want to win and play optimally.

Input

First line of input contains an integer t (1 ≤ t ≤ 100) — the number of matches.

The first line of each match description contains an integer n (1 ≤ n ≤ 10^3) — the number of digits of the generated number.

The second line of each match description contains an n-digit positive integer without leading zeros.

Output

For each match print 1, if Raze wins, and 2, if Breach wins.

Example

Input


4
1
2
1
3
3
102
4
2069


Output


2
1
1
2

Note

In the first match no one can make a turn, the only digit left is 2, it's even, so Breach wins.

In the second match the only digit left is 3, it's odd, so Raze wins.

In the third match Raze can mark the last digit, after that Breach can only mark 0. 1 will be the last digit left, it's odd, so Raze wins.

In the fourth match no matter how Raze plays, Breach can mark 9, and in the end there will be digit 0. It's even, so Breach wins.
import java.io.*;
import java.util.*;
public class MyClass {
    
    public static void main(String args[]) {
      FastReader sc = new FastReader();     //For Fast IO
      //func f = new func();                  //Call func for swap , permute, upper bound and for sort.
      int t = sc.nextInt();
      StringBuilder sb = new StringBuilder();
      while(t-->0){
          int n = sc.nextInt();
          String s = sc.nextLine();
          if(n==1 && (s.charAt(0)-'0')%2==0){
              sb.append("2\n");
              continue;
          }
          else if(n==1 && (s.charAt(0)-'0')%2==1){
              sb.append("1\n");
              continue;
          }
          int c1=0;
          int c2=0;
          int c3=0;
          int c4=0;
          for(int i=0;i<s.length();i++){
              int c = (s.charAt(i)-'0');
              if((i+1)%2==1){
                  if(c%2==0){
                      c1++;
                  }
                  else{
                      c2++;
                  }
              }
              else{
                  if(c%2==0){
                      c3++;
                  }
                  else{
                      c4++;
                  }
              }
          }
          if(n%2==0){
              if(c3>=1){
                  sb.append("2\n");
              }
              else{
                  sb.append("1\n");
              }
          }
          else{
              if(c2>=1){
                  sb.append("1\n");
              }
              else{
                  sb.append("2\n");
              }
          }
      }
      System.out.println(sb);
      
    }
}
class Pair{
    int x;
    int y;
    Pair(int i,int j){
        x=i;
        y=j;
    }
    @Override
    public boolean equals(Object o) {
        if (this == o) return true;
        if (!(o instanceof Pair)) return false;
        Pair key = (Pair) o;
        return x == key.x && y == key.y;
    }
    @Override
    public int hashCode() {
        int result = x;
        result = 31*result + y;
        return result;
    }
}
class FastReader 
	{ 
		BufferedReader br; 
		StringTokenizer st; 
 
		public FastReader() 
		{ 
			br = new BufferedReader(new
					InputStreamReader(System.in)); 
		} 
 
		String next() 
		{ 
			while (st == null || !st.hasMoreElements()) 
			{ 
				try
				{ 
					st = new StringTokenizer(br.readLine()); 
				} 
				catch (IOException e) 
				{ 
					e.printStackTrace(); 
				} 
			} 
			return st.nextToken(); 
		} 
 
		int nextInt() 
		{ 
			return Integer.parseInt(next()); 
		} 
 
		long nextLong() 
		{ 
			return Long.parseLong(next()); 
		} 
 
		double nextDouble() 
		{ 
			return Double.parseDouble(next()); 
		} 
 
		String nextLine() 
		{ 
			String str = ""; 
			try
			{ 
				str = br.readLine(); 
			} 
			catch (IOException e) 
			{ 
				e.printStackTrace(); 
			} 
			return str; 
		} 
	}
class func{
    static ArrayList<String> al = new ArrayList<>();
        public static void sort(long[] arr) {
            int n = arr.length, mid, h, s, l, i, j, k;
            long[] res = new long[n];
            for (s = 1; s < n; s <<= 1) {
                for (l = 0; l < n - 1; l += (s << 1)) {
                    h = Math.min(l + (s << 1) - 1, n - 1);
                    mid = Math.min(l + s - 1, n - 1);
                    i = l;
                    j = mid + 1;
                    k = l;
                    while (i <= mid && j <= h) res[k++] = (arr[i] <= arr[j] ? arr[i++] : arr[j++]);
                    while (i <= mid) res[k++] = arr[i++];
                    while (j <= h) res[k++] = arr[j++];
                    for (k = l; k <= h; k++) arr[k] = res[k];
                }
            }
        }
        public static void permute(char a[] , int i , int n){
            if(i==n-1){
                String s = new String(a);
                al.add(s);                      // al stores all permutations of string. 
                return;
            }
            for(int j=i;j<n;j++){
                swap(a,i,j);
                permute(a,i+1,n);
                swap(a,i,j);
            }
        }
        public static void swap(char a[],int i, int j){
            char temp = a[i];
            a[i] = a[j];
            a[j] = temp;
        }
        public static void swap(int a[],int i, int j){
            int temp = a[i];
            a[i] = a[j];
            a[j] = temp;
        }
		//-It returns index of first element which is strictly greater than searched value.
		public static int upperBound(long[] array, int length, long value) {
            int low = 0;
            int high = length;
            while (low < high) {
                final int mid = (low + high) / 2;
                if (value >= array[mid]) {
                    low = mid + 1;
                } else {
                    high = mid;
                }
        }
        return low;
    }
	/*If searched element doesn't exist function returns index of first element which is bigger than searched value.<br>
 * -If searched element is bigger than any array element function returns first index after last element.<br>
 * -If searched element is lower than any array element function returns index of first element.<br>
 * -If there are many values equals searched value function returns first occurrence.<br>*/
	public static int lowerBound(long[] array, int length, long value) {
        int low = 0;
        int high = length;
        while (low < high) {
            final int mid = (low + high) / 2;
            if (value <= array[mid]) {
                high = mid;
            } else {
                low = mid + 1;
            }
        }
        return low;
    }
        
 
}
 
 
 