On a circle lie 2n distinct points, with the following property: however you choose 3 chords that connect 3 disjoint pairs of points, no point strictly inside the circle belongs to all 3 chords. The points are numbered 1,   2,   ...,   2n in clockwise order.

Initially, k chords connect k pairs of points, in such a way that all the 2k endpoints of these chords are distinct.

You want to draw n - k additional chords that connect the remaining 2(n - k) points (each point must be an endpoint of exactly one chord).

In the end, let x be the total number of intersections among all n chords. Compute the maximum value that x can attain if you choose the n - k chords optimally.

Note that the exact position of the 2n points is not relevant, as long as the property stated in the first paragraph holds.

Input

The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. Then t test cases follow.

The first line of each test case contains two integers n and k (1 ≤ n ≤ 100, 0 ≤ k ≤ n) — half the number of points and the number of chords initially drawn.

Then k lines follow. The i-th of them contains two integers x_i and y_i (1 ≤ x_i,   y_i ≤ 2n, x_i ≠ y_i) — the endpoints of the i-th chord. It is guaranteed that the 2k numbers x_1,   y_1,   x_2,   y_2,   ...,   x_k,   y_k are all distinct.

Output

For each test case, output the maximum number of intersections that can be obtained by drawing n - k additional chords.

Example

Input


4
4 2
8 2
1 5
1 1
2 1
2 0
10 6
14 6
2 20
9 10
13 18
15 12
11 7


Output


4
0
1
14

Note

In the first test case, there are three ways to draw the 2 additional chords, shown below (black chords are the ones initially drawn, while red chords are the new ones):

<image>

We see that the third way gives the maximum number of intersections, namely 4.

In the second test case, there are no more chords to draw. Of course, with only one chord present there are no intersections.

In the third test case, we can make at most one intersection by drawing chords 1-3 and 2-4, as shown below:

<image>
import java.util.*;
import java.io.*;

public class Main{

    public static void main(String[] args) {
        MyScanner sc = new MyScanner();
        out = new PrintWriter(new BufferedOutputStream(System.out));
        
        // Start writing your solution here. -------------------------------------
        /*
        int n      = sc.nextInt();        // read input as integer
        long k     = sc.nextLong();       // read input as long
        double d   = sc.nextDouble();     // read input as double
        char c = sc.next().charAt(0);     // read input as char
        String str = sc.next();           // read input as String
        String s   = sc.nextLine();       // read whole line as String
        out.println(result);              // print via PrintWriter
        */
        //------------------------------------------------------------------

        int test = sc.nextInt();

        while(test -- > 0){

            int n = sc.nextInt();
            int chord = sc.nextInt();

            Map<Integer, Integer> connect = new HashMap<>();
            for(int i = 0 ; i < chord ; i++){
                int f = sc.nextInt();
                int s = sc.nextInt();

                connect.put(f, s);
                connect.put(s, f);
            }

            //now add all the unadded keys
            //find the middle and work it through
            int[] remaining = new int[(n-chord)*2];
            int index = 0;
            for(int i  = 1 ; i <= 2 * n ; i++){
                if(!connect.containsKey(i)){
                    remaining[index++] = i;
                }
            }

            Arrays.sort(remaining);
            // System.out.println(Arrays.toString(remaining));
            int middle = n-chord;
            for(int i = 0 ; i < n-chord ; i++){
                connect.put(remaining[i], remaining[middle]);
                connect.put(remaining[middle], remaining[i]);
                middle++;
            }

            //so now all the connections are perfect i just have to count now
            //simple as that shouldn't be too hard
            Set<Integer> counted= new HashSet<>();

            int answer = 0;
            for(int i = 1 ; i <= 2 * n ; i++){
                //first pair pakdo and calculate kar daalo, simple as that
                int first = i;
                int second = connect.get(i);
                for(int j = first + 1 ; j < second; j++){
                    if(!counted.contains(i)){
                        if(connect.get(j) > second){
                            answer++;
                        }
                    }
                }
                counted.add(first);
                counted.add(second);
            }
            out.println(answer);

        }

        //------------------------------------------------------------------
        
        // Stop writing your solution here. -------------------------------------
        out.close();
    }

    //-------------------------------------------------------------------
    //-------------------------------------------------------------------
    //-------------------------------------------------------------------
    //-------------------------------------------------------------------
    //-------------------------------------------------------------------

    //Sorted Set Implementation
    //Simple two lines are enough hehe
    // SortedSet<Integer> set = new TreeSet<>();
    // System.out.println(set.first());

    //for calculating binomialCoeff
    public static int binomialCoeff(int n, int k)
    {
        int C[] = new int[k + 1];
        // nC0 is 1
        C[0] = 1;
        for (int i = 1; i <= n; i++) {
            // Compute next row of pascal
            // triangle using the previous row
            for (int j = Math.min(i, k); j > 0; j--)
                C[j] = C[j] + C[j - 1];
        }
        return C[k];
    }

    //Pair with int int 
    public static class Pair{

        public int a;
        public int b;

        Pair(int a , int b){
            this.a = a;
            this.b = b;
        }

        @Override
        public String toString(){
            return a + " -> " + b; 
        }
    }

    //Shortcut function
    public static long lcm(long a , long b){
        return a * (b/gcd(a,b));
    }

    //let's make one for calculating lcm basically
    public static int lcm(int a , int b){
        return (a * b)/gcd(a,b);
    }

    //int version for gcd
    public static int gcd(int a, int b){
        if(b == 0)
            return a;
            
        return gcd(b , a%b);
    }

    //long version for gcd
    public static long gcd(long a, long b){
        if(b == 0)
            return a;

        return gcd(b , a%b);
    }

    //swapping two elements in an array
    public static void swap(int[] arr, int left , int right){
        int temp = arr[left];
        arr[left] = arr[right];
        arr[right] = temp;
    }

    //reversing an array
    public static void reverse(int[] arr){
        int left = 0;
        int right = arr.length-1;

        while(left <= right){
            swap(arr, left,right);
            left++;
            right--;
        }
    }

     
    //-----------PrintWriter for faster output---------------------------------
    public static PrintWriter out;
      
    //-----------MyScanner class for faster input----------
    public static class MyScanner {
      BufferedReader br;
      StringTokenizer st;
 
        public MyScanner() {
            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;
        }

    }
   //--------------------------------------------------------
}