Problem: You found a useless array a of 2n positive integers. You have realized that you actually don't need this array, so you decided to throw out all elements of a.

It could have been an easy task, but it turned out that you should follow some rules: 

  1. In the beginning, you select any positive integer x.
  2. Then you do the following operation n times: 
    * select two elements of array with sum equals x; 
    * remove them from a and replace x with maximum of that two numbers. 



For example, if initially a = [3, 5, 1, 2], you can select x = 6. Then you can select the second and the third elements of a with sum 5 + 1 = 6 and throw them out. After this operation, x equals 5 and there are two elements in array: 3 and 2. You can throw them out on the next operation.

Note, that you choose x before the start and can't change it as you want between the operations.

Determine how should you behave to throw out all elements of a.

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 the single integer n (1 ≤ n ≤ 1000).

The second line of each test case contains 2n integers a_1, a_2, ..., a_{2n} (1 ≤ a_i ≤ 10^6) — the initial array a.

It is guaranteed that the total sum of n over all test cases doesn't exceed 1000.

Output

For each test case in the first line print YES if it is possible to throw out all elements of the array and NO otherwise.

If it is possible to throw out all elements, print the initial value of x you've chosen. Print description of n operations next. For each operation, print the pair of integers you remove.

Example

Input


4
2
3 5 1 2
3
1 1 8 8 64 64
2
1 1 2 4
5
1 2 3 4 5 6 7 14 3 11


Output


YES
6
1 5
2 3
NO
NO
YES
21
14 7
3 11
5 6
2 4
3 1

Note

The first test case was described in the statement.

In the second and third test cases, we can show that it is impossible to throw out all elements of array a.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
import java.math.*;
import java.lang.*;
import java.util.LinkedList;
import java.util.Queue;
import static java.lang.Math.*;

public class Cf294 implements Runnable 
{
	static class InputReader 
	{
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;
		private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

		public InputReader(InputStream stream) 
		{
			this.stream = stream;
		}
		
		public int read()
		{
			if (numChars==-1) 
				throw new InputMismatchException();
            
			if (curChar >= numChars) 
			{
				curChar = 0;
				try
				{
					numChars = stream.read(buf);
				}
				catch (IOException e)
				{
					throw new InputMismatchException();
				}
                
				if(numChars <= 0)               
					return -1;
			}
			return buf[curChar++];
		}
     
		public String nextLine()
		{
			String str = "";
			try
			{
				str = br.readLine();
			}
			catch (IOException e)
			{
				e.printStackTrace();
			}	
			return str;
		}
		public int[] nextArray(int n)
		{
			int arr[] = new int[n];
			int i;
			for(i=0;i<n;i++)
			{
				arr[i] = nextInt();
			}
			return arr;
		}
		public int nextInt() 
		{
			int c = read();
            
			while(isSpaceChar(c)) 
				c = read();
		
			int sgn = 1;
        
			if (c == '-') 
			{
				sgn = -1;
				c = read();
			}
            
			int res = 0;
			do
			{
				if(c<'0'||c>'9') 
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}
			while (!isSpaceChar(c)); 
        
			return res * sgn;
		}
        
		public long nextLong() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-')
			{
				sgn = -1;
				c = read();
			}
			long res = 0;
			
			do 
			{
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}	
			while (!isSpaceChar(c));
				return res * sgn;
		}
		
		public double nextDouble() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-')
			{
				sgn = -1;
				c = read();
			}
			double res = 0;
			while (!isSpaceChar(c) && c != '.') 
			{
				if (c == 'e' || c == 'E')
					return res * Math.pow(10, nextInt());
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}
			if (c == '.') 
			{
				c = read();
				double m = 1;
				while (!isSpaceChar(c))
				{
					if (c == 'e' || c == 'E')
						return res * Math.pow(10, nextInt());
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					m /= 10;
					res += (c - '0') * m;
					c = read();
				}
			}
			return res * sgn;
		}
    
		public String readString() 
		{
			int c = read();
			while (isSpaceChar(c))
				c = read();
			StringBuilder res = new StringBuilder();
			do 
			{
				res.appendCodePoint(c);
				c = read();
			} 
			while (!isSpaceChar(c));
            
			return res.toString();
		}
     
		public boolean isSpaceChar(int c) 
		{
			if (filter != null)
				return filter.isSpaceChar(c);
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}
     
		public String next()
		{
			return readString();
		}
        
		public interface SpaceCharFilter
		{
			public boolean isSpaceChar(int ch);
		}
		
		public int[] nextIntArray(int n)
		{
			int i;
			int arr[] = new int[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextInt();
			}
			return arr;
		}
		
		public long[] nextLongArray(int n)
		{
			int i;
			long arr[] = new long[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextLong();
			}
			return arr;
		}
		
		public double[] nextDoubleArray(int n)
		{
			int i;
			double arr[] = new double[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextDouble();
			}
			return arr;
		}
		
		public Integer[] IntegerArray(int n)
		{
			int i;
			Integer arr[] = new Integer[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextInt();
			}
			return arr;
		}
		
		public Long[] LongArray(int n)
		{
			int i;
			Long arr[] = new Long[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextLong();
			}
			return arr;
		}
		
		public Double[] DoubleArray(int n)
		{
			int i;
			Double arr[] = new Double[n];
			for(i=0;i<n;i++)
			{
				arr[i] = nextDouble();
			}
			return arr;
		}
		
		public ArrayList<ArrayList<Integer>> getGraph(int n,int m)
		{
			ArrayList<ArrayList<Integer>> g =new ArrayList<>();
			int i;
			for(i=0;i<=n;i++)
			{
				g.add(new ArrayList<>());
			}
			for(i=0;i<m;i++)
			{
				int x = nextInt();
				int y = nextInt();
				g.get(x).add(y);
				g.get(y).add(x);
			}
			return g;
		}
		
		public ArrayList<ArrayList<Integer>> getTree(int n)
		{
			ArrayList<ArrayList<Integer>> g =new ArrayList<>();
			int i;
			for(i=0;i<=n;i++)
			{
				g.add(new ArrayList<>());
			}
			for(i=0;i<n-1;i++)
			{
				int x = nextInt();
				int y = nextInt();
				g.get(x).add(y);
				g.get(y).add(x);
			}
			return g;
		}
	}
	
	public static int maxInt(int arr[])
	{
		int max = Integer.MIN_VALUE;
		for(int i : arr)
		{
			max = Math.max(i,max);
		}
		return max;
	}
	
	public static int minInt(int arr[])
	{
		int min = Integer.MAX_VALUE;
		for(int i : arr)
		{
			min = Math.min(i,min);
		}
		return min;
	}
	
	public static long maxLong(long arr[])
	{
		long max = Long.MIN_VALUE;
		for(long i : arr)
		{
			max = Math.max(i,max);
		}
		return max;
	}
	
	public static long minLong(long arr[])
	{
		long min = Long.MAX_VALUE;
		for(long i : arr)
		{
			min = Math.min(i,min);
		}
		return min;
	}
	
	public static double maxDouble(double arr[])
	{
		double max = Double.MIN_VALUE;
		for(double i : arr)
		{
			max = Math.max(i,max);
		}
		return max;
	}
	
	public static double minDouble(double arr[])
	{
		double min = Double.MAX_VALUE;
		for(double i : arr)
		{
			min = Math.min(i,min);
		}
		return min;
	}
	
	void merge(int arr[], int l, int m, int r) 
	{ 
		int n1 = m - l + 1; 
		int n2 = r - m; 
	  

		int L[] = new int [n1]; 
		int R[] = new int [n2]; 
	  

		for (int i=0; i<n1; ++i) 
		    L[i] = arr[l + i]; 
		for (int j=0; j<n2; ++j) 
		    R[j] = arr[m + 1+ j]; 
  
  
  

		int i = 0, j = 0; 
	  

		int k = l; 
		while (i < n1 && j < n2) 
		{ 
		    if (L[i] <= R[j]) 
		    { 
			arr[k] = L[i]; 
			i++; 
		    } 
		    else
		    { 
			arr[k] = R[j]; 
			j++; 
		    } 
		    k++; 
		} 

		while (i < n1) 
		{ 
		    arr[k] = L[i]; 
		    i++; 
		    k++; 
		} 
	  
   
		while (j < n2) 
		{ 
		    arr[k] = R[j]; 
		    j++; 
		    k++; 
		} 
	} 
  
    
	void sort(int arr[], int l, int r) 
	{ 
		if (l < r) 
		{ 
			int m = (l+r)/2; 
			sort(arr, l, m); 
			sort(arr , m+1, r); 
			merge(arr, l, m, r); 
		} 
	}
	
	static class Pair
	{
		int x,y;
		public Pair(int x,int y)
		{
			this.x = x;
			this.y = y;
		}
		public static Comparator<Pair> sortX = new Comparator<Pair>(){
			public int compare(Pair p1,Pair p2)
			{
				if(p1.x==p2.x)
				{
					return (int)(p1.y-p2.y);
				}
				return (int)(p1.x-p2.x);
			}
		};
		
		public static Comparator<Pair> sortY = new Comparator<Pair>(){
			public int compare(Pair p1,Pair p2)
			{
				if(p1.y==p2.y)
				{
					return (int)(p1.x-p2.x);
				}
				return (int)(p1.y-p2.y);
			}
		};
		
		public static Comparator<Pair> custom = new Comparator<Pair>(){
			public int compare(Pair p1,Pair p2)
			{
				if((p1.y-p1.x==p2.y-p2.x))
					return (int)(p1.x-p2.x);
				return (int)((p2.y-p2.x)-(p1.y-p2.x));
			}
		};
		
		public boolean equals(Object obj) 
		{
			if (obj == null) return false;
			if (!(obj instanceof Pair))
				return false;
			return (this.x == ((Pair) obj).x && this.y == ((Pair)obj).y);
		}

		public int hashCode()
		{
			if(x<0 || y<0)
			{
				return (int)(-5*x+-32*y);
			}
			return (int)(5*(x+y));
		}
	}
	
	static class DPair
	{
		Pair s,d;
		public DPair(Pair s,Pair d)
		{
			this.s = s;
			this.d = d;
		}
		
		public boolean equals(Object obj) 
		{
			if (obj == null) return false;
			if (!(obj instanceof DPair))
				return false;
			return (this.s.x == ((DPair) obj).s.x && this.s.y == ((DPair) obj).s.y && this.d.x == ((DPair)obj).d.x && this.d.y == ((DPair) obj).d.y);
		}
		public int hashCode()
		{
			return 5*(s.x+s.y+d.x+d.y);
		}
	}
	
	static class DSU
	{
		public static int rank[],parent[];
		int n;
		HashMap<Integer,Integer> map = new HashMap<>();
		
		public DSU(int n)
		{
			rank = new int[n+1];
			parent = new int[n+1];
			this.n = n;
			makeSet(n);
		}
		
		public void makeSet(int n)
		{
			for(int i=1;i<=n;i++)
			{
				parent[i] = i;
				map.put(i,1);
			}
		}
		
		public static int find(int x)
		{
			if(parent[x]!=x)
			{
				parent[x] = find(parent[x]);
			}
			return parent[x];
		}
		
		public void union(int x,int y)
		{
			int xRoot = find(x);
			int yRoot = find(y);
			
			if(xRoot==yRoot)
			{
				return;
			}
			
			if(rank[xRoot] < rank[yRoot])
			{
				parent[xRoot] = yRoot;
				rank[yRoot] = rank[xRoot] + 1;
				map.put(yRoot,map.getOrDefault(yRoot,1)+map.getOrDefault(xRoot,1));
				if(map.getOrDefault(xRoot,0)!=0)
				{
					map.remove(xRoot);
				}
			}
			else if(rank[yRoot] < rank[xRoot])
			{
				parent[yRoot] = xRoot;
				rank[xRoot] = rank[yRoot] + 1;
				map.put(xRoot,map.getOrDefault(xRoot,1) + map.getOrDefault(yRoot,1));
				if(map.getOrDefault(yRoot,0)!=0)
				{
					map.remove(yRoot);
				}
			}
			else
			{
				parent[yRoot] = xRoot;
				rank[xRoot] = rank[yRoot] + 1;
				map.put(xRoot,map.getOrDefault(xRoot,1)+map.getOrDefault(yRoot,1));
				if(map.getOrDefault(yRoot,0)!=0)
				{
					map.remove(yRoot);
				}
			}
		}
	}
	
	static class SegmentTree
	{
		public static int tree[];
		public SegmentTree(int arr[], int n) 
		{
			int x = (int) (Math.ceil(Math.log(n) / Math.log(2))); 
			int size = 2 * (int) Math.pow(2, x) - 1; 
			tree = new int[size];
			constructTree(arr, 0, n - 1, 0);
		}
		
		public int getMid(int s, int e) 
		{ 
			return s + (e - s) / 2; 
		} 
		
		public int minVal(int x, int y) 
		{ 
			return (x < y) ? x : y; 
		} 
		
		public int constructTree(int arr[], int s, int e, int ind) 
		{ 
			if (s == e) 
			{ 
				tree[ind] = arr[s]; 
				return arr[s]; 
			} 
			int mid = getMid(s, e); 
			tree[ind] = constructTree(arr, s, mid, ind * 2 + 1) +  constructTree(arr, mid + 1, e, ind * 2 + 2); 
			return tree[ind]; 
		}
		
		public long getSum(int n, int l, int r) 
		{ 
			if (l < 0 || r > n - 1 || l > r) 
			{				
				return -1; 
			} 
			return getSumR(0, n - 1, l, r, 0); 
		}
		
		public long getSumR(int s, int e, int l, int r, int ind) 
		{ 
			if (l <= s && r >= e)
			{
				return tree[ind]; 
			}
			if (e < l || s > r) 
			{
				return 0; 
			}
			int mid = getMid(s, e); 
			return getSumR(s, mid, l, r, 2 * ind + 1) + getSumR(mid + 1, e, l, r, 2 * ind + 2); 
		} 
		
		public  void updateValue(int arr[], int n, int i, int val) 
		{ 
			if (i < 0 || i > n - 1) 
			{ 
				return; 
			} 
			int diff = val - arr[i]; 
			arr[i] = val; 
			updateValueR(0, n - 1, i, diff, 0); 
		} 
		
		public void updateValueR(int s, int e, int i, int diff, int ind) 
		{ 
			if (i < s || i > e) 
			{
				return; 
			}
			tree[ind] = tree[ind] + diff; 
			if (e != s) 
			{ 
				int mid = getMid(s, e); 
				updateValueR(s, mid, i, diff, 2 * ind + 1); 
				updateValueR(mid + 1, e, i, diff, 2 * ind + 2); 
			} 
		}
		
		////FOR MIN APLLICATION
		public int constructMinTree(int arr[], int s, int e, int ind) 
		{ 
			if (s == e) 
			{ 
				tree[ind] = arr[s]; 
				return arr[s]; 
			} 
			int mid = getMid(s, e); 
			tree[ind] = minVal(constructMinTree(arr, s, mid, ind * 2 + 1), constructMinTree(arr, mid + 1, e, ind * 2 + 2)); 
			return tree[ind]; 
		} 
		
		
		public int getMin(int n,int l,int r)
		{
			if (l < 0 || r > n - 1 || l > r) 
			{				
				return -1; 
			} 
			return getMinR(0, n - 1, l, r, 0); 
		}
	
		public void updateValueMin(int arr[],int s, int e, int index, int value, int node) 
		{ 
			if (index < s || index > e) 
			{ 
				return; 
			} 
			if (s == e) 
			{  
				arr[index] = value; 
				tree[node] = value; 
			}  
			else
			{ 
				int mid = getMid(s, e); 
				if (index >= s && index <= mid)
				{					
					updateValueMin(arr,s, mid, index, value, 2 * node + 1); 
				}
				else
				{
					updateValueMin(arr,mid + 1, e, index, value, 2 * node + 2);   
				}
				tree[node] = Math.min(tree[2 * node + 1], tree[2 * node + 2]); 
			} 
			return; 
		} 
	
		public int getMinR(int s, int e, int l, int r, int index) 
		{ 
			if (l <= s && r >= e) 
			{
				return tree[index]; 
			}
			if (e < l || s > r) 
			{
				return Integer.MAX_VALUE; 
			}
			int mid = getMid(s, e); 
			return minVal(getMinR(s, mid, l, r, 2 * index + 1) , getMinR(mid + 1, e, l, r, 2 * index + 2));
		}
	}
	
	public static int gcd(int a, int b)
	{
		if (a == 0)
			return b; 
		return gcd(b % a, a); 
	}

	public static int lcm(int a, int b)
	{
		return (a / gcd(a, b)) * b;
	}
	
	public static void main(String args[]) throws Exception 
	{
		new Thread(null, new Cf294(),"Main",1<<27).start();
	}	
	
	public static String solve(int arr[], boolean visited[], int x, int find, boolean flag)
	{
		if(x>0 && visited[x])
		{
			return solve(arr, visited, x-1, find, flag);
		}
		int rem = find - arr[x];
		int i,j,k;
		if(x>0)
		{
		    for(i=0;i<x;i++)
    		{
    			if(arr[i]==rem && !visited[i])
    			{
    				visited[i] = true;
    				String curr_res = solve(arr, visited, x-1, Math.max(arr[i], arr[x]), flag);
    				if(!curr_res.equals("NO"))
    				{
    					if(!curr_res.equals(""))
    					{
    						curr_res = "\n" + curr_res;
    					}
    					visited[x] = true;
    					return (Integer.toString(arr[i]) + " " + Integer.toString(arr[x]) + curr_res);
    				}
    				else
    				{
    					visited[i] = false;
    					break;
    				}
    			}
    		}
    		if(!flag)
    		{
    			return solve(arr, visited, x-1, find, true);
    		}
		}
		return x==0?"":"NO";
	}
	
	public void run()	
	{
		InputReader in = new InputReader(System.in);
		PrintWriter w = new PrintWriter(System.out);
		int TESTCASES = in.nextInt();
		while(TESTCASES-->0)
		{
			int n = in.nextInt();
			int len = 2*n;
			int arr[] = in.nextIntArray(len);
			int i,j,k;
			boolean visited[] = new boolean[len];
			Arrays.sort(arr);
			String res = solve(arr, visited, len-2, arr[len-1], false);
			if(res.equals("NO"))
			{
				w.println("NO");
			}
			else
			{
				for(i=0;i<len;i++)
				{
					if(!visited[i])
					{
						w.println("YES");
						w.println(arr[i] + arr[len-1]);
						w.println(arr[i] +  " " + arr[len-1]);
						w.println(res);
						break;
					}
				}
			}
		}
		w.flush();
		w.close();
	}
}