Problem: Phoenix has n blocks of height h_1, h_2, ..., h_n, and all h_i don't exceed some value x. He plans to stack all n blocks into m separate towers. The height of a tower is simply the sum of the heights of its blocks. For the towers to look beautiful, no two towers may have a height difference of strictly more than x. 

Please help Phoenix build m towers that look beautiful. Each tower must have at least one block and all blocks must be used.

Input

The input consists of multiple test cases. The first line contains an integer t (1 ≤ t ≤ 1000) — the number of test cases.

The first line of each test case contains three integers n, m, and x (1 ≤ m ≤ n ≤ 10^5; 1 ≤ x ≤ 10^4) — the number of blocks, the number of towers to build, and the maximum acceptable height difference of any two towers, respectively. 

The second line of each test case contains n space-separated integers (1 ≤ h_i ≤ x) — the heights of the blocks. 

It is guaranteed that the sum of n over all the test cases will not exceed 10^5.

Output

For each test case, if Phoenix cannot build m towers that look beautiful, print NO. Otherwise, print YES, followed by n integers y_1, y_2, ..., y_n, where y_i (1 ≤ y_i ≤ m) is the index of the tower that the i-th block is placed in.

If there are multiple solutions, print any of them.

Example

Input


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


Output


YES
1 1 1 2 2
YES
1 2 2 3

Note

In the first test case, the first tower has height 1+2+3=6 and the second tower has height 1+2=3. Their difference is 6-3=3 which doesn't exceed x=3, so the towers are beautiful.

In the second test case, the first tower has height 1, the second tower has height 1+2=3, and the third tower has height 3. The maximum height difference of any two towers is 3-1=2 which doesn't exceed x=3, so the towers are beautiful.

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Deque;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
import java.util.List;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Set;
import java.util.StringTokenizer;
import java.util.TreeMap;

public class Main {

	public static void main(String[] args) {

		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		PrintWriter out = new PrintWriter(outputStream);
		solve(in, out);
		out.close();
	}

	static String reverse(String s) {
		return (new StringBuilder(s)).reverse().toString();
	}

	static void sieveOfEratosthenes(int n, int factors[]) {
		n = 1000000001;
		factors[1] = 1;
		for (int p = 2; p * p <= n; p++) {
			if (factors[p] == 0) {
				factors[p] = p;
				for (int i = p * p; i <= n; i += p)
					factors[i] = p;
			}
		}
	}

	static void sort(int ar[]) {
		int n = ar.length;
		ArrayList<Integer> a = new ArrayList<>();
		for (int i = 0; i < n; i++)
			a.add(ar[i]);
		Collections.sort(a);
		for (int i = 0; i < n; i++)
			ar[i] = a.get(i);
	}

	static void sort1(long ar[]) {
		int n = ar.length;
		ArrayList<Long> a = new ArrayList<>();
		for (int i = 0; i < n; i++)
			a.add(ar[i]);
		Collections.sort(a);
		for (int i = 0; i < n; i++)
			ar[i] = a.get(i);
	}

	static long ncr(long n, long r, long mod) {
		if (r == 0)
			return 1;
		long val = ncr(n - 1, r - 1, mod);
		val = (n * val) % mod;
		val = (val * modInverse(r, mod)) % mod;
		return val;
	}

	public static int convert(String a, String b) {
		int T = 0;
		if (b.charAt(0) == 'P') {
			if (a.charAt(0) == '1' && a.charAt(1) == '2')
				T = 12;
			else
				T = (a.charAt(0) - '0') * 10 + (a.charAt(1) - '0') + 12;
		} else if (b.charAt(0) == 'A') {
			if (a.charAt(0) == '1' && a.charAt(1) == '2')
				T = 0;
			else
				T = (a.charAt(0) - '0') * 10 + (a.charAt(1) - '0');
		}

		T = T * 100 + (a.charAt(3) - '0') * 10 + (a.charAt(4) - '0');
		return T;

	}

	static boolean areBracketsBalanced(String expr) {
		// Using ArrayDeque is faster than using Stack class
		Deque<Character> stack = new ArrayDeque<Character>();

		// Traversing the Expression
		for (int i = 0; i < expr.length(); i++) {
			char x = expr.charAt(i);

			if (x == '(' || x == '[' || x == '{') {
				// Push the element in the stack
				stack.push(x);
				continue;
			}

			// IF current current character is not opening
			// bracket, then it must be closing. So stack
			// cannot be empty at this point.
			if (stack.isEmpty())
				return false;
			char check;
			switch (x) {
			case ')':
				check = stack.pop();
				if (check == '{' || check == '[')
					return false;
				break;

			case '}':
				check = stack.pop();
				if (check == '(' || check == '[')
					return false;
				break;

			case ']':
				check = stack.pop();
				if (check == '(' || check == '{')
					return false;
				break;
			}
		}

		// Check Empty Stack
		return (stack.isEmpty());
	}

	public static int hr(String s) {
		int hh = 0;
		hh = (s.charAt(0) - '0') * 10 + (s.charAt(1) - '0');
		return hh;
	}

	public static int mn(String s) {
		int mm = 0;
		mm = (s.charAt(3) - '0') * 10 + (s.charAt(4) - '0');
		return mm;
	}

	/*
	 * public static void countNumberOfPrimeFactors(){ boolean flag[]=new
	 * boolean[N]; Arrays.fill(flag,true); for(int i=2;i<N;i++){ if(flag[i]){
	 * for(int j=i;j<N;j+=i) { prime[j]++; flag[j]=false; } } } // prime[1]=1; }
	 */

	public static String rev(String s) {
		char[] temp = s.toCharArray();
		for (int i = 0; i < s.length() / 2; i++) {
			char tmp = temp[i];
			temp[i] = temp[s.length() - 1 - i];
			temp[s.length() - 1 - i] = tmp;

		}
		String str = "";
		for (char ch : temp) {
			str += ch;
		}
		return str;
	}

	static boolean isP(String str) {

		// Pointers pointing to the beginning
		// and the end of the string
		int i = 0, j = str.length() - 1;

		// While there are characters to compare
		while (i < j) {

			// If there is a mismatch
			if (str.charAt(i) != str.charAt(j))
				return false;

			// Increment first pointer and
			// decrement the other
			i++;
			j--;
		}

		// Given string is a palindrome
		return true;
	}

	public static boolean isSorted(List<Integer> l) {
		int n = l.size(), i = 0;
		for (i = 1; i < l.size(); i++) {
			if (l.get(i - 1) < l.get(i))
				return false;
		}
		return true;
	}

	public static boolean ln(long n, int c) {
		int l = 0;
		long t = n;
		while (t != 0) {

			t /= 10;
			l++;
		}
		return l == c;
	}

	public static void solve(InputReader sc, PrintWriter pw) {
		int t = sc.nextInt();
		while (t-- > 0) {
			int n=sc.nextInt();
			int m=sc.nextInt();
			int x=sc.nextInt();
			int a[]=new int[n];
			for(int i=0;i<n;i++) {a[i]=sc.nextInt();}
			PriorityQueue<Tower> pq=new PriorityQueue<>((o1,o2)->o1.h-o2.h);
			for(int i=1;i<=m;i++) pq.add(new Tower(0,i));
			pw.print("YES"+"\n");
			for(int i=0;i<n;i++)
			{
				Tower cur=pq.poll();
				pw.print(cur.i+" ");
				cur.h+=a[i];
				pq.add(cur);
			}
			pw.print("\n");
		}
			 
		

	}
	static class Tower{
		int h,i;
		Tower(int h, int i)
		{
			this.h=h;
			this.i=i;
		}
	}

	static class Pair1 {
		long a;
		long b;

		Pair1(long a, long b) {
			this.a = a;
			this.b = b;
		}
	}

	static class Pair implements Comparable<Pair> {
		int a;
		int b;

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

		public int compareTo(Pair p) {
			if (a != p.a)
				return p.a - a;
			return b - p.b;
		}
	}

	static boolean isPrime(int n) {
		if (n <= 1)
			return false;
		if (n <= 3)
			return true;
		if (n % 2 == 0 || n % 3 == 0)
			return false;
		for (int i = 5; i * i <= n; i = i + 6)
			if (n % i == 0 || n % (i + 2) == 0)
				return false;
		return true;
	}

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

	static int _gcd(int a, int b) {
		if (b == 0)
			return a;
		return _gcd(b, a % b);
	}

	static long fast_pow(long base, long n, long M) {
		if (n == 0)
			return 1;
		if (n == 1)
			return base % M;
		long halfn = fast_pow(base, n / 2, M);
		if (n % 2 == 0)
			return (halfn * halfn) % M;
		else
			return (((halfn * halfn) % M) * base) % M;
	}

	static long modInverse(long n, long M) {
		return fast_pow(n, M - 2, M);
	}

	public static int LowerBound(int a[], int x) {
		int l = -1, r = a.length;
		while (l + 1 < r) {
			int m = (l + r) >>> 1;
			if (a[m] >= x)
				r = m;
			else
				l = m;
		}
		return r;
	}

	public static int UpperBound(int a[], int x) {
		int l = -1, r = a.length;
		while (l + 1 < r) {
			int m = (l + r) >>> 1;
			if (a[m] <= x)
				l = m;
			else
				r = m;
		}
		return l + 1;
	}
	

	static class InputReader {
		public BufferedReader reader;
		public StringTokenizer tokenizer;

		public InputReader(InputStream stream) {
			reader = new BufferedReader(new InputStreamReader(stream), 32768);
			tokenizer = null;
		}

		public String nextLine() {
			return null;
		}

		public String next() {
			while (tokenizer == null || !tokenizer.hasMoreTokens()) {
				try {
					tokenizer = new StringTokenizer(reader.readLine());
				} catch (IOException e) {
					throw new RuntimeException(e);
				}
			}
			return tokenizer.nextToken();
		}

		public int nextInt() {
			return Integer.parseInt(next());
		}

		public long nextLong() {
			return Long.parseLong(next());
		}
	}
}