You have a string s consisting of n characters. Each character is either 0 or 1.

You can perform operations on the string. Each operation consists of two steps:

  1. select an integer i from 1 to the length of the string s, then delete the character s_i (the string length gets reduced by 1, the indices of characters to the right of the deleted one also get reduced by 1); 
  2. if the string s is not empty, delete the maximum length prefix consisting of the same characters (the indices of the remaining characters and the string length get reduced by the length of the deleted prefix). 



Note that both steps are mandatory in each operation, and their order cannot be changed.

For example, if you have a string s = 111010, the first operation can be one of the following:

  1. select i = 1: we'll get 111010 → 11010 → 010; 
  2. select i = 2: we'll get 111010 → 11010 → 010; 
  3. select i = 3: we'll get 111010 → 11010 → 010; 
  4. select i = 4: we'll get 111010 → 11110 → 0; 
  5. select i = 5: we'll get 111010 → 11100 → 00; 
  6. select i = 6: we'll get 111010 → 11101 → 01. 



You finish performing operations when the string s becomes empty. What is the maximum number of operations you can perform?

Input

The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.

The first line of each test case contains a single integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the length of the string s.

The second line contains string s of n characters. Each character is either 0 or 1.

It's guaranteed that the total sum of n over test cases doesn't exceed 2 ⋅ 10^5.

Output

For each test case, print a single integer — the maximum number of operations you can perform.

Example

Input


5
6
111010
1
0
1
1
2
11
6
101010


Output


3
1
1
1
3

Note

In the first test case, you can, for example, select i = 2 and get string 010 after the first operation. After that, you can select i = 3 and get string 1. Finally, you can only select i = 1 and get empty string.
import java.io.*;
import java.util.*;
import java.util.stream.Collectors;

public class D {

    public static void main(String[] args) throws Exception {

        FastScanner sc = new FastScanner();
        FastWriter writer = new FastWriter();
        int t = sc.nextInt();
        while(t-- > 0) {
             int n = sc.nextInt();
             char s[] = sc.next().toCharArray();
             LinkedList<Integer> list = new LinkedList<>();
            LinkedList<Integer> others = new LinkedList<>();

             int countOne = 0, countZ = 0;
             for(int i = 0; i < n; i++) {

                 if(s[i] == '1') {
                     if(countZ > 0) {
                         list.add(countZ);
                         countZ = 0;
                     }
                     countOne++;
                 }
                 else {
                     if(countOne > 0) {
                         list.add(countOne);
                         countOne = 0;
                     }
                     countZ++;
                 }
             }
             if(countOne > 0)
                 list.add(countOne);
             else if(countZ > 0)
                 list.add(countZ);
//            System.out.println(list);

            countOne = 0;
             for(int i : list)
                 if(i == 1)
                     countOne++;
                 else
                     others.add(i);

             long ans = 0;
             int removed = 0;
             while(list.size() > 0) {

                 if(others.size() == 0) {
                     ans += (countOne + 1) / 2;
                     break;
                 }
                 int num = list.removeFirst();
                 if(num == 1) {
                     ans++;
                     countOne--;
                     int x = others.removeFirst();
                     x--;
                     if(x == 1) {
                         removed++;
                         countOne++;
                         list.addFirst(1);
                     } else
                        others.addFirst(x);

                 } else {
                     if(removed == 0) {
                         others.removeFirst();
                         ans++;
                     }
                     else
                         removed--;
                 }
//                 println(others);
             }
             ans += others.size();
             println(ans);
        }
    }

    static final Random random = new Random();

    static class FastScanner {
        private InputStream sin = System.in;
        private final byte[] buffer = new byte[1024];
        private int ptr = 0;
        private int buflen = 0;
        public FastScanner(){}
        public FastScanner(String filename) throws FileNotFoundException {
            File file = new File(filename);
            sin = new FileInputStream(file);
        }
        private boolean hasNextByte() {
            if (ptr < buflen) {
                return true;
            }else{
                ptr = 0;
                try {
                    buflen = sin.read(buffer);
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (buflen <= 0) {
                    return false;
                }
            }
            return true;
        }
        private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
        private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
        public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
        public String next() {
            if (!hasNext()) throw new NoSuchElementException();
            StringBuilder sb = new StringBuilder();
            int b = readByte();
            while(isPrintableChar(b)) {
                sb.appendCodePoint(b);
                b = readByte();
            }
            return sb.toString();
        }
        public long nextLong() {
            if (!hasNext()) throw new NoSuchElementException();
            long n = 0;
            boolean minus = false;
            int b = readByte();
            if (b == '-') {
                minus = true;
                b = readByte();
            }
            if (b < '0' || '9' < b) {
                throw new NumberFormatException();
            }
            while(true){
                if ('0' <= b && b <= '9') {
                    n *= 10;
                    n += b - '0';
                }else if(b == -1 || !isPrintableChar(b) || b == ':'){
                    return minus ? -n : n;
                }else{
                    throw new NumberFormatException();
                }
                b = readByte();
            }
        }
        public int nextInt() {
            long nl = nextLong();
            if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
            return (int) nl;
        }
        public double nextDouble() { return Double.parseDouble(next());}
        public long[] nextLongArray(final int n){
            final long[] a = new long[n];
            for (int i = 0; i < n; i++)
                a[i] = nextLong();
            return a;
        }
        public int[] nextIntArray(final int n){
            final int[] a = new int[n];
            for (int i = 0; i < n; i++)
                a[i] = nextInt();
            return a;
        }
        public double[] nextDoubleArray(final int n){
            final double[] a = new double[n];
            for (int i = 0; i < n; i++)
                a[i] = nextDouble();
            return a;
        }

        public List<Integer>[] adjacencyList(int nodes, int edges) {
            return adjacencyList(nodes, edges, false);
        }
        public List<Integer>[] adjacencyList(int nodes, int edges, boolean isDirected) {

            List<Integer>[] adj = new ArrayList[nodes + 1];
            Arrays.setAll(adj, (i) -> new ArrayList<>());
            for (int i = 0; i < edges; i++) {
                int a = nextInt(), b = nextInt();
                adj[a].add(b);
                if (!isDirected) adj[b].add(a);
            }
            return adj;
        }
    }

    static class FastWriter {

        BufferedWriter writer = new BufferedWriter(new OutputStreamWriter(System.out));
        void print(int n) throws Exception { writer.write(n + ""); }
        void println(int n) throws Exception { writer.write(n + "\n"); }

        void print(long n) throws Exception { writer.write(n + ""); }
        void println(long n) throws Exception { writer.write(n + "\n"); }

        void print(String s) throws Exception { writer.write(s); }
        void println(String s) throws Exception { writer.write(s); writer.newLine(); }

        void println(int ar[]) throws Exception { for(int e : ar) writer.write(e + " "); writer.newLine(); }
        void println(long ar[]) throws Exception { for(long e : ar) writer.write(e + " "); writer.newLine(); }
        void println(double ar[]) throws Exception { for(double e : ar) writer.write(e + " "); writer.newLine(); }
        void close() throws Exception { writer.close(); }
        <T> void println(List<T> L) throws Exception { for(T o : L) writer.write(o + " "); writer.newLine(); }
    }

    static int findDistance(List<Integer> G[], int nodes, int src, int dst) {

        LinkedList<Integer> queue = new LinkedList<>();
        int dist[] = new int[nodes + 1];
        int ans = -1;
        dist[src] = 0;
        queue.add(src);
        while(queue.size() > 0) {
            int u = queue.poll();
            if(u == dst) {
                ans = dist[u];
            }
            for(int v : G[u]) {
                if(dist[v] >= 0)
                    continue;
                queue.add(v);
                dist[v] = dist[u] + 1;
            }
        }
        return ans;
    }

    static void sort(List<Integer> A) {
        shuffleList(A);
        Collections.sort(A);
    }

    static void shuffleList(List<Integer> A) {
        int n = A.size();
        for(int i = 0; i < n; i++) {
            int tmp = A.get(i);
            int randomPos = i + random.nextInt(n-i);
            A.set(i, A.get(randomPos));
            A.set(randomPos, tmp);
        }
    }

    static void sort(int A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static void sort(long A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static void sort(double A[]) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static <T> void sort(T[] A) {
        shuffleArray(A);
        Arrays.sort(A);
    }
    static <T> void shuffleArray(T[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            T tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(int[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            int tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(long[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            long tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }
    static void shuffleArray(double[] A) {
        int n = A.length;
        for(int i = 0; i < n; i++) {
            double tmp = A[i];
            int randomPos = i + random.nextInt(n-i);
            A[i] = A[randomPos];
            A[randomPos] = tmp;
        }
    }

    static int[] subArray(int A[], int x, int y) {
        int B[] = new int[y - x + 1];
        for(int i = x; i <= y; i++)
            B[i-x] = A[i];
        return B;
    }

    static int[] toArray(List<Integer> L) {
        return L.stream().mapToInt(x -> x).toArray();
    }

    static void println(int[] A) {
        for(int e: A) System.out.print(e + " ");
        System.out.println();
    }

    static void println(long[] A) {
        for(long e: A) System.out.print(e + " ");
        System.out.println();
    }

    static void println(List arr) {
        for(Object e: arr) System.out.print(e + " ");
        System.out.println();
    }

    static void print(String s) {
        System.out.print(s);
    }
    static void println(long n) {
        System.out.println(n);
    }

    static void println(String s) {
        System.out.println(s);
    }

    static List<Integer> toList(int ar[]) {
        return Arrays.stream(ar).boxed().collect(Collectors.toList());
    }

    static List<Long> toList(long ar[]) {
        return Arrays.stream(ar).boxed().collect(Collectors.toList());
    }

    static List<Double> toList(double ar[]) {
        return Arrays.stream(ar).boxed().collect(Collectors.toList());
    }

    static long gcd(long a, long b) {
        if(b == 0)
            return a;
        return gcd(b, a % b);
    }

    private static int abs(int a){  return (a>=0) ? a: -a;  }
    private static int min(int... ins){ return Arrays.stream(ins).min().getAsInt(); }
    private static int max(int... ins){ return Arrays.stream(ins).max().getAsInt(); }
    private static int sum(int... ins){ return Arrays.stream(ins).sum(); }
    private static long abs(long a){ return (a>=0) ? a: -a; }
    private static long min(long... ins){ return Arrays.stream(ins).min().getAsLong(); }
    private static long max(long... ins){ return Arrays.stream(ins).max().getAsLong(); }
    private static long sum(long... ins){ return Arrays.stream(ins).sum(); }
    private static double abs(double a){ return (a>=0) ? a: -a; }
    private static double min(double... ins){ return Arrays.stream(ins).min().getAsDouble(); }
    private static double max(double... ins){ return Arrays.stream(ins).max().getAsDouble(); }
    private static double sum(double... ins){ return Arrays.stream(ins).sum(); }

    private static class Pair implements Comparable<Pair> {
        int x, y;
        Pair(int x, int y) { this.x = x; this.y = y; }
        Pair() {}

        @Override
        public int compareTo(Pair other) {
            return x == other.x ? y - other.y : x - other.x;
        }

        @Override
        public boolean equals(Object o) {
            if (this == o) return true;
            if (o == null || getClass() != o.getClass()) return false;
            Pair pair = (Pair) o;
            return x == pair.x &&
                    y == pair.y;
        }

        @Override
        public int hashCode() {
            return Objects.hash(x, y);
        }
    }

    static int pow(long n, int p, int mod) {
        if(p == 0)
            return 1;
        long x = pow(n, p/2, mod);
        x = x * x % mod;
        return (int) ( p % 2 == 0 ? x : x * n % mod );
    }

    static long inv(int x, int m) {
        return pow(x, m - 2, m);
    }

    static int lowerBound(int ar[], int L, int R, int val) {
        if(val < ar[L] || val > ar[R])
            return -1;
        while(L <= R) {
            int mid = (L + R) / 2;
            if(ar[mid] >= val)
                R = mid - 1;
            else
                L = mid + 1;
        }
        return ar[L] == val ? L : -1;
    }

    static int upperBound(int ar[], int L, int R, int val) {
        if(val < ar[L] || val > ar[R])
            return -1;
        while(L <= R) {
            int mid = (L + R) / 2;
            if(ar[mid] > val)
                R = mid - 1;
            else
                L = mid + 1;
        }
        return ar[R] == val ? R : -1;
    }
}

