You are given an array a consisting of n positive integers. Find a non-empty subset of its elements such that their sum is even (i.e. divisible by 2) or determine that there is no such subset.

Both the given array and required subset may contain equal values.

Input

The first line contains a single integer t (1 ≤ t ≤ 100), number of test cases to solve. Descriptions of t test cases follow.

A description of each test case consists of two lines. The first line contains a single integer n (1 ≤ n ≤ 100), length of array a.

The second line contains n integers a_1, a_2, …, a_n (1 ≤ a_i ≤ 100), elements of a. The given array a can contain equal values (duplicates).

Output

For each test case output -1 if there is no such subset of elements. Otherwise output positive integer k, number of elements in the required subset. Then output k distinct integers (1 ≤ p_i ≤ n), indexes of the chosen elements. If there are multiple solutions output any of them.

Example

Input


3
3
1 4 3
1
15
2
3 5


Output


1
2
-1
2
1 2

Note

There are three test cases in the example.

In the first test case, you can choose the subset consisting of only the second element. Its sum is 4 and it is even.

In the second test case, there is only one non-empty subset of elements consisting of the first element, however sum in it is odd, so there is no solution.

In the third test case, the subset consisting of all array's elements has even sum.
import java.util.*;
import java.io.*;

public class Main {

	public static void main(String[] args) throws Exception {
		int t=sc.nextInt();
		for(int i=0;i<t;i++) {
			int n=sc.nextInt();
			int odd=-1;
			boolean r=true;
			for(int j=0;j<n;j++) {
				int z=sc.nextInt();
				if(r) {
				if(z%2==0) {
					pw.println(1);
					pw.println(j+1);
					r=false;
				}
				else {
					if(odd==-1) {
						odd=j+1;
					}
					else {
						r=false;
						pw.println(2);
						pw.println(odd+" "+(j+1));
					}
				}
				}
				
			}
			if(r) {
				pw.println(-1);
			}
			
			
		}
		pw.close();
	}

	static class Scanner {
		StringTokenizer st;
		BufferedReader br;

		public Scanner(InputStream s) {
			br = new BufferedReader(new InputStreamReader(s));
		}

		public Scanner(FileReader r) {
			br = new BufferedReader(r);
		}

		public String next() throws IOException {
			while (st == null || !st.hasMoreTokens())
				st = new StringTokenizer(br.readLine());
			return st.nextToken();
		}

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

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

		public String nextLine() throws IOException {
			return br.readLine();
		}

		public double nextDouble() throws IOException {
			String x = next();
			StringBuilder sb = new StringBuilder("0");
			double res = 0, f = 1;
			boolean dec = false, neg = false;
			int start = 0;
			if (x.charAt(0) == '-') {
				neg = true;
				start++;
			}
			for (int i = start; i < x.length(); i++)
				if (x.charAt(i) == '.') {
					res = Long.parseLong(sb.toString());
					sb = new StringBuilder("0");
					dec = true;
				} else {
					sb.append(x.charAt(i));
					if (dec)
						f *= 10;
				}
			res += Long.parseLong(sb.toString()) / f;
			return res * (neg ? -1 : 1);
		}

		public boolean ready() throws IOException {
			return br.ready();
		}

	}

	static class pair implements Comparable<pair> {
		int x;
		int y;

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

		public String toString() {
			return x + " " + y;
		}

		public int compareTo(pair other) {
			if (this.x == other.x) {
				return this.y - other.y;
			} else {
				return this.x - other.x;
			}
		}
	}

	static class tuble implements Comparable<tuble> {
		int x;
		int y;
		int z;

		public tuble(int x, int y, int z) {
			this.x = x;
			this.y = y;
			this.z = z;
		}

		public String toString() {
			return x + " " + y + " " + z;
		}

		public int compareTo(tuble other) {
			if (this.x == other.x) {
				return this.y - other.y;
			} else {
				return this.x - other.x;
			}
		}
	}

	public static long GCD(long a, long b) {
		if (b == 0)
			return a;
		if (a == 0)
			return b;
		return (a > b) ? GCD(a % b, b) : GCD(a, b % a);
	}

	public static long LCM(long a, long b) {
		return a * b / GCD(a, b);
	}

	public static long nCk(int n, int k) { // O(K)
		if (k > n) {
			return 0;
		}
		long res = 1;
		for (int i = 1; i <= k; i++) {
			res = ((n - k + i) * res / i) % 1000000007;
		}
		return res;
	}

	public static long C(int a, int b, long[][] s) {
		int m = (int) 1e9 + 7;
		if (s[a][b] >= 0) {
			return s[a][b];
		} else if (a < b | a < 0 | b < 0) {
			s[a][b] = 0;
			return 0;
		} else if (a == b | b == 0) {
			s[a][b] = 1;
			return 1;
		} else {
			return s[a][b] = (C(a - 1, b, s) % m + C(a - 1, b - 1, s) % m) % m;
		}

	}

	public static boolean isprime(long a) {
		if (a == 0 || a == 1) {
			return false;
		}
		if (a == 2) {
			return true;
		}
		for (int i = 2; i < Math.sqrt(a) + 1; i++) {
			if (a % i == 0) {
				return false;
			}
		}
		return true;
	}

	static Scanner sc = new Scanner(System.in);
	static PrintWriter pw = new PrintWriter(System.out);
}