You are given the array a consisting of n positive (greater than zero) integers.

In one move, you can choose two indices i and j (i ≠ j) such that the absolute difference between a_i and a_j is no more than one (|a_i - a_j| ≤ 1) and remove the smallest of these two elements. If two elements are equal, you can remove any of them (but exactly one).

Your task is to find if it is possible to obtain the array consisting of only one element using several (possibly, zero) such moves or not.

You have to answer t independent test cases.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 1000) — the number of test cases. Then t test cases follow.

The first line of the test case contains one integer n (1 ≤ n ≤ 50) — the length of a. The second line of the test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 100), where a_i is the i-th element of a.

Output

For each test case, print the answer: "YES" if it is possible to obtain the array consisting of only one element using several (possibly, zero) moves described in the problem statement, or "NO" otherwise.

Example

Input


5
3
1 2 2
4
5 5 5 5
3
1 2 4
4
1 3 4 4
1
100


Output


YES
YES
NO
NO
YES

Note

In the first test case of the example, we can perform the following sequence of moves:

  * choose i=1 and j=3 and remove a_i (so a becomes [2; 2]); 
  * choose i=1 and j=2 and remove a_j (so a becomes [2]). 



In the second test case of the example, we can choose any possible i and j any move and it doesn't matter which element we remove.

In the third test case of the example, there is no way to get rid of 2 and 4.
import java.io.*;
import java.util.*;
 
public class A {
	static InputReader scn = new InputReader(System.in);
	static OutputWriter out = new OutputWriter(System.out);
 
	public static void main(String[] args) {
		int t = scn.nextInt();
		while (t-- > 0) {
			boolean ans = solve();
			if (ans) {
				out.println("YES");
			} else {
				out.println("NO");
			}
		}
		out.close();
	}
 
	public static boolean solve() {
		int n = scn.nextInt();
		int[] arr = readArray(n);
		Arrays.sort(arr);
		for (int i = 0; i < n - 1; i++) {
			int a = arr[i];
			int b = arr[i + 1];
			if (Math.abs(a - b) > 1)
				return false;
		}
		return true;
	}
 
	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 * b) / gcd(a, b);
	}
 
	public static int val11(int n) {
		int val = -1;
		for (int i = n; i <= Math.sqrt(n); i++) {
			if (n % i == 0) {
				val = n / i;
				break;
			}
		}
		return val;
	}
 
	public static HashMap<String, Integer> CountFrequencies(String[] arr) {
		HashMap<String, Integer> map = new HashMap<>();
		for (int i = 0; i < arr.length; i++) {
			String a = arr[i];
			if (map.containsKey(a)) {
				map.put(a, map.get(a) + 1);
			} else {
				map.put(a, 1);
			}
		}
		return map;
	}
 
	public static int[] readArray(int n) {
		int[] a = new int[n];
		for (int i = 0; i < n; i++) {
			a[i] = scn.nextInt();
		}
		return a;
	}
 
	public static int countPrimeFactors(int n) {
		int count = 0;
		while (n % 2 == 0) {
			n = n / 2;
			count++;
		}
		for (int i = 3; i <= Math.sqrt(n); i = i + 2) {
			while (n % i == 0) {
				n = n / i;
				count++;
			}
		}
		if (n > 2)
			count++;
		return (count);
	}
 
	public static ArrayList<Integer> printKAlmostPrimes(int n) {
		ArrayList<Integer> list = new ArrayList<>();
		for (int i = 1, num = 2; i <= n; num++) {
			if (countPrimeFactors(num) == 2) {
				if (num > n) {
					break;
				}
				list.add(num);
				i++;
			}
		}
		return list;
	}
 
	public static int[] SieveOfEratosthenes(int[] arr) {
		int n = arr.length;
		for (int i = 3; i < n; i = i + 2) {
			arr[i] = 1;
		}
		for (int i = 3; i < n; i = i + 2) {
			if (arr[i] == 1) {
				for (int j = i * i; j < n; j = j + i) {
					arr[j] = 0;
				}
			}
		}
		arr[2] = 1;
		arr[0] = arr[1] = 0;
		return arr;
	}
 
	static void sort(int[] a) {
		ArrayList<Integer> l = new ArrayList<>();
		for (int i : a) {
			l.add(i);
		}
		Collections.sort(l);
		for (int i = 0; i < a.length; i++) {
			a[i] = l.get(i);
		}
	}
 
	public static ArrayList<String> printPermutn(String str, String ans, ArrayList<String> list) {
		if (str.length() == 0) {
			list.add(ans);
		}
		for (int i = 0; i < str.length(); i++) {
			char ch = str.charAt(i);
			String ros = str.substring(0, i) + str.substring(i + 1);
			printPermutn(ros, ans + ch, list);
		}
		return list;
	}
 
	public static ArrayList<String> GetSubSequences(String s) {
		if (s.length() == 0) {
			ArrayList<String> br = new ArrayList<>();
			br.add("");
			return br;
		}
		char ch = s.charAt(0);
		String ms = s.substring(1);
 
		ArrayList<String> rr = GetSubSequences(ms);
 
		ArrayList<String> mr = new ArrayList<>();
 
		int t = rr.size();
		for (int i = 0; i < t; i++) {
			mr.add(rr.get(i));
			mr.add(ch + rr.get(i));
 
		}
 
		return mr;
 
	}
 
	public static int binarySearch(int arr[], int l, int r, int x) {
		if (r >= l) {
			int mid = l + (r - l) / 2;
			if (arr[mid] == x)
				return mid;
			if (arr[mid] > x)
				return binarySearch(arr, l, mid - 1, x);
			return binarySearch(arr, mid + 1, r, x);
		}
		return -1;
	}
 
	public static int firstOccurence(int array1[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == 0 || x > array1[mid - 1]) && array1[mid] == x)
				return mid;
			else if (x > array1[mid])
				return firstOccurence(array1, (mid + 1), high, x, n);
			else
				return firstOccurence(array1, low, (mid - 1), x, n);
		}
		return -1;
	}
 
	public static int lastOccurence(int array2[], int low, int high, int x, int n) {
		if (low <= high) {
			int mid = low + (high - low) / 2;
			if ((mid == n - 1 || x < array2[mid + 1]) && array2[mid] == x)
				return mid;
			else if (x < array2[mid])
				return lastOccurence(array2, low, (mid - 1), x, n);
			else
				return lastOccurence(array2, (mid + 1), high, x, n);
		}
		return -1;
	}
 
	public static boolean isPrime(long n) {
		if (n < 2)
			return false;
		if (n == 2 || n == 3)
			return true;
		if (n % 2 == 0 || n % 3 == 0)
			return false;
		long sqrtN = (int) Math.sqrt(n) + 1;
		for (long i = 6L; i <= sqrtN; i += 6) {
			if (n % (i - 1) == 0 || n % (i + 1) == 0)
				return false;
		}
		return true;
	}
 
	public static void quickSort(int[] arr, int lo, int hi) {
		if (lo >= hi) {
			return;
		}
		int mid = (lo + hi) / 2;
		int pivot = arr[mid];
		int left = lo;
		int right = hi;
		while (left <= right) {
			while (arr[left] < pivot) {
				left++;
			}
			while (arr[right] > pivot) {
				right--;
			}
			if (left <= right) {
				int temp = arr[left];
				arr[left] = arr[right];
				arr[right] = temp;
				left++;
				right--;
			}
		}
		quickSort(arr, lo, right);
		quickSort(arr, left, hi);
	}
 
	static class InputReader {
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		private SpaceCharFilter filter;
 
		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 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 String nextLine() {
			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 nextLine();
		}
 
		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}
	}
 
	static class OutputWriter {
		private final PrintWriter writer;
 
		public OutputWriter(OutputStream outputStream) {
			writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
		}
 
		public OutputWriter(Writer writer) {
			this.writer = new PrintWriter(writer);
		}
 
		public void print(Object... objects) {
			for (int i = 0; i < objects.length; i++) {
				if (i != 0) {
					writer.print(' ');
//                    writer.print(1);
				}
				writer.print(objects[i]);
			}
		}
 
		public void println(Object... objects) {
			print(objects);
			writer.println();
		}
 
		public void close() {
			writer.close();
		}
	}
 
}