Problem: In 2N - 1 boxes there are apples and oranges. Your task is to choose N boxes so, that they will contain not less than half of all the apples and not less than half of all the oranges.

Input

The first input line contains one number T — amount of tests. The description of each test starts with a natural number N — amount of boxes. Each of the following 2N - 1 lines contains numbers ai and oi — amount of apples and oranges in the i-th box (0 ≤ ai, oi ≤ 109). The sum of N in all the tests in the input doesn't exceed 105. All the input numbers are integer.

Output

For each test output two lines. In the first line output YES, if it's possible to choose N boxes, or NO otherwise. If the answer is positive output in the second line N numbers — indexes of the chosen boxes. Boxes are numbered from 1 in the input order. Otherwise leave the second line empty. Separate the numbers with one space.

Examples

Input

2
2
10 15
5 7
20 18
1
0 0


Output

YES
1 3
YES
1

Solution (in JAVA):

Solution:
// Main Code at the Bottom
import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.BigInteger; 
public class Main{
	//Fast IO class
    static class FastReader {
        BufferedReader br; 
        StringTokenizer st; 
        public FastReader() {
        	boolean env=System.getProperty("ONLINE_JUDGE") != null;
        	if(!env) {
        		try {
					br=new BufferedReader(new FileReader("src\\input.txt"));
				} catch (FileNotFoundException e) {
					e.printStackTrace();
				}
        	}
        	else 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; 
        } 
    }     
    static long MOD=1000000000+7;
    //debug
    static void debug(Object... o) {
        System.out.println(Arrays.deepToString(o));
    }
    // Pair
    static class pair{
    	long x,y;
    	pair(long a,long b){
    		this.x=a;
    		this.y=b;
    	}
    	public boolean equals(Object obj) {
    		if(obj == null || obj.getClass()!= this.getClass()) return false;
            pair p = (pair) obj;
            return (this.x==p.x && this.y==p.y);
        }
    	public int hashCode() {
            return Objects.hash(x,y);
        }
    }
    static FastReader sc=new FastReader();
    static PrintWriter out=new PrintWriter(System.out);  
    //Global variables and functions
    static class obj{
    	long x, y;
    	int id;
    	obj(long a,long o,int i){
    		x=a;
    		y=o;
    		id=i;
    	}
    }
    //Main function(The main code starts from here)
    public static void main (String[] args) throws java.lang.Exception {
    	int test=1;
    	test=sc.nextInt();
    	while(test-->0){
    		int n=sc.nextInt();
    		obj a[]=new obj[2*n-1];
    		long sum1=0,sum2=0;
    		for(int i=0;i<2*n-1;i++) {
    			a[i]=new obj(sc.nextLong(),sc.nextLong(),i+1);
    			sum1+=a[i].x;
    		}
    		sum1=(sum1+1)/2;sum2=sum1;
    		Arrays.parallelSort(a,(o1,o2)->(int)(o1.y-o2.y));
    		out.println("YES");
    		for(int i=0;i<2*n-1;i++) {
    			if(i%2==0) sum1-=a[i].x;
    			else sum2-=a[i].x;
    		}
    		if(sum1<=0) {
    			for(int i=0;i<2*n-1;i+=2) out.print(a[i].id+" ");
    		}
    		else {
    			for(int i=1;i<2*n-1;i+=2) out.print(a[i].id+" ");
    			out.print(a[2*n-2].id);
    		}
    		out.println();
    	}	
        out.flush();
        out.close();
    }
}