New Year is coming! Vasya has prepared a New Year's verse and wants to recite it in front of Santa Claus.

Vasya's verse contains n parts. It takes a_i seconds to recite the i-th part. Vasya can't change the order of parts in the verse: firstly he recites the part which takes a_1 seconds, secondly — the part which takes a_2 seconds, and so on. After reciting the verse, Vasya will get the number of presents equal to the number of parts he fully recited.

Vasya can skip at most one part of the verse while reciting it (if he skips more than one part, then Santa will definitely notice it).

Santa will listen to Vasya's verse for no more than s seconds. For example, if s = 10, a = [100, 9, 1, 1], and Vasya skips the first part of verse, then he gets two presents.

Note that it is possible to recite the whole verse (if there is enough time). 

Determine which part Vasya needs to skip to obtain the maximum possible number of gifts. If Vasya shouldn't skip anything, print 0. If there are multiple answers, print any of them.

You have to process t test cases.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases.

The first line of each test case contains two integers n and s (1 ≤ n ≤ 10^5, 1 ≤ s ≤ 10^9) — the number of parts in the verse and the maximum number of seconds Santa will listen to Vasya, respectively.

The second line of each test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the time it takes to recite each part of the verse.

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

Output

For each test case print one integer — the number of the part that Vasya needs to skip to obtain the maximum number of gifts. If Vasya shouldn't skip any parts, print 0.

Example

Input


3
7 11
2 9 1 3 18 1 4
4 35
11 9 10 7
1 8
5


Output


2
1
0

Note

In the first test case if Vasya skips the second part then he gets three gifts.

In the second test case no matter what part of the verse Vasya skips.

In the third test case Vasya can recite the whole verse.
// package codeforces1;

import java.util.*;
import java.util.function.Function;
import java.util.stream.Collectors;
import java.io.*;
import java.math.*;
import java.text.*;

public class BER79 {

	static InputReader in = new InputReader(System.in);
	static OutputWriter out = new OutputWriter(System.out);

	public static void main(String[] args) throws NumberFormatException, IOException {
		// TODO Auto-generated method stub
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int t = i();
		PrintWriter out = new PrintWriter(System.out);
		while (t > 0) {
			int n = i();
			int k=i();
			int arr[] = new int[n];
			long sm=0L;
			for (int i = 0; i < n; i++) {
				arr[i] = i();
				sm=sm+arr[i];
			}
			if(sm<=k) {
				System.out.println("0");
			}
			else {
				sm=0;
				int mx=0;
				int ind=0;
				for(int i=0;i<n;i++) {
					
					sm=sm+arr[i];
					if(mx<arr[i]) {
						mx=arr[i];
						ind=i+1;
					}
					if(sm>k) {
						break;
					}
					
				}
				System.out.println(ind);
			}
			
			

//			out.println();

			t--;

		}
		out.close();

		//		long l=l();
		//		String s=s();     //	ONLY BEFORE SPACE IN STRING , ELSE USE BUFFER-READER

	}

	public static long pow(long a, long b) {
		long m = 1000000007;
		long result = 1;
		while (b > 0) {
			if (b % 2 != 0) {
				result = (result * a) % m;
				b--;
			}
			a = (a * a) % m;
			b /= 2;
		}
		return result % m;
	}

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

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

	public static long l() {
		String s = in.String();
		return Long.parseLong(s);
	}

	public static void pln(String value) {
		System.out.println(value);
	}

	public static int i() {
		return in.Int();
	}

	public static String s() {
		return in.String();
	}

}

class pair {
	int x, y;

	pair(int x, int y) {
		this.x = x;
		this.y = y;
	}
}

class CompareValue {

	static void compare(pair arr[], int n) {
		Arrays.sort(arr, new Comparator<pair>() {
			public int compare(pair p1, pair p2) {
				return p1.y - p2.y;
			}
		});
	}
}

class CompareKey {
	static void compare(pair arr[], int n) {
		Arrays.sort(arr, new Comparator<pair>() {
			public int compare(pair p1, pair p2) {
				return p2.x - p1.x;
			}
		});
	}
}

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 Int() {
		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 String String() {
		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 String();
	}

	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}

	public double readDouble() {
		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, Int());
			}
			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, Int());
				}
				if (c < '0' || c > '9') {
					throw new InputMismatchException();
				}
				m /= 10;
				res += (c - '0') * m;
				c = read();
			}
		}
		return res * sgn;
	}
}

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(objects[i]);
		}
		writer.flush();
	}

	public void printLine(Object... objects) {
		print(objects);
		writer.println();
		writer.flush();
	}

	public void close() {
		writer.close();
	}

	public void flush() {
		writer.flush();
	}
}

class IOUtils {
	public static int[] readIntArray(InputReader in, int size) {
		int[] array = new int[size];
		for (int i = 0; i < size; i++)
			array[i] = in.Int();
		return array;
	}
}

/**
 * TO SORT VIA TWO KEYS , HERE IT IS ACCORDING TO ASCENDING ORDER OF FIRST AND
 * DESC ORDER OF SECOND
 * LIST name-list 
 * ARRAYLIST
 * COPY PASTE
 * 
 * Collections.sort(list, (first,second) ->{
		    	if(first.con >second.con)
		    		return -1;
		    	else if(first.con<second.con)
		    		return 1;
		    	else {
		    		if(first.index >second.index)
		    			return 1;
		    		else
		    			return -1;
		    	}
		    	
		    });
 * 
 */

/**
 * 
 

  DECIMAL FORMATTER
Double k = in.readDouble();

System.out.println(k);
DecimalFormat df = new DecimalFormat("#.##");
System.out.print(df.format(k));
out.printLine(k);
* 
* */
