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.*;
 
//294784RY
 
public class Main {
    public static PrintStream out = new PrintStream(System.out);
    static LinkedList<Integer> adj[];
    static boolean[] vis;
    static final int nINF = Integer.MIN_VALUE;
    static final int INF = Integer.MAX_VALUE;
    public static void main(String[] args) {
        FastScanner sc = new FastScanner(); 
        int t = sc.nextInt();
        while(t-- > 0){
            int n = sc.nextInt();
            int o1 = -1; int o2 = - 1; int e = -1;
            for(int i = 1; i <= n; i++){
                int x = sc.nextInt();
                if(x % 2 != 0){
                    if(o1 == -1) o1 = i;
                    else o2 = i;
                }
                else e = i;
            }
            if(o1 != -1 && o2 != -1){
                out.println(2);
                out.println(o1 + " " + o2);
            }
            else if(e != -1){
                out.println(1);
                out.println(e);
            }
            else out.println(-1);
        }
    }
    
 
            
    static void initAdj(int n){
        adj = new LinkedList[n + 2];
        for(int i = 0; i <= n + 1; i++)
            adj[i] = new LinkedList();
    }    
    
    static void dfs(int n){
        Iterator<Integer> i = adj[n].listIterator();
        while(i.hasNext()){
            Integer a = i.next();
            if(!vis[a]){
                vis[a] = true;
                dfs(a);
            }
        }
    }
    
     static long fastPower(long x, int y) {
        long result = 1;
        while (y > 0) {
            if ((y & 1) == 0) {
                x *= x;
                y >>>= 1;
            } else {
                result *= x;
                y--;
            }
        }
        return result;
    }
     
    static ArrayList<Integer> moveToFront(ArrayList<Integer> list, int num){
        //int item = list.indexOf(num);
        int index = list.indexOf(num);
        list.remove(index);
        list.add(0, num);
        return list;
    }
    
    static ArrayList<Integer> sieve(int n){
        boolean prime[] = new boolean[n+1]; 
        ArrayList<Integer> res = new ArrayList();
        for(int i=0;i<n;i++) 
            prime[i] = true; 
          
        for(int p = 2; p*p <=n; p++) 
        { 
            // If prime[p] is not changed, then it is a prime 
            if(prime[p] == true) 
            { 
                // Update all multiples of p 
                for(int i = p*p; i <= n; i += p) 
                    prime[i] = false; 
            } 
        } 
 
        for(int i = 2; i <= n; i++) 
        { 
            if(prime[i] == true) 
                res.add(i);
        }
        return res;
    }
    
    //returns index; outputs earliest occurence; -1 if target value does not exist
    static int getUpper(int[] arr, int target)  
    {  
        int start = 0, end = arr.length - 1;  
    
        int ans = -1;  
        while (start <= end) {  
            int mid = (start + end) / 2;  
    
            // Move to right side if target is  
            // greater.  
            if (arr[mid] <= target) {  
                start = mid + 1;  
            }  
    
            // Move left side.  
            else {  
                ans = mid;  
                end = mid - 1;  
            }  
        }  
        return ans;  
    }  
    
    //returns index; outputs latest occurence; -1 if target value does not exist
    static int getLower(int[] arr, int target)  
    {  
        int start = 0, end = arr.length-1;  
    
        int ans = -1;  
        while (start <= end) {  
            int mid = (start + end) / 2;  
    
            // Move to the left side if the target is smaller  
            if (arr[mid] >= target) {  
                end = mid - 1;  
            }  
    
            // Move right side  
            else {  
                ans = mid;  
                start = mid + 1;  
            }  
        }  
        return ans;  
    }  
     
   
 
    static String removeLastChar(String ss) {
        if (ss == null || ss.length() == 0) {
            return ss;
        }
        return ss.substring(0, ss.length()-1);
    }
    
    static String removeByIndex(String str, int index) {
        return new StringBuilder(str).deleteCharAt(index).toString();
    }    
    
    static void solveLunLun(){
        FastScanner sc = new FastScanner();
        Queue<Long> q = new ArrayDeque();
        for(int i = 1; i <= 9; i++){
            q.add((long) i);
        }
        int k = sc.nextInt();
        int cnt = 0;
        long x = 1;
        while(cnt < k){
            x = q.poll();
            cnt++;
            if(cnt >= k) break;
            
            long d = x % (long) 10;
            if(d == 0){
                q.add( (10 * x));
                q.add( (10 * x) + d + 1 );
            }
            else if (d == 9){
                q.add( (10 * x) + d - 1);
                q.add( (10 * x) + d);
            }
            else {
                q.add( (10 * x) + d - 1);
                q.add( (10 * x) + d);
                q.add( (10 * x) + d + 1 );                
            }
        }
        out.println(x);
 
    }
    
    private static long factorial(int n){
            long fac = 1;
            for(int i=2;i<=n;i++){
                    fac *= i;
            }
 
            return fac;
    }
    
    private static boolean isPrime(int n){
            if(n == 0 || n == 1){
                    return false;
            }else if(n%2 == 0){
                    return false;
            }else{
                    int x = (int)(Math.sqrt(n)) + 1;
                    for(int i=3;i<=x;i+=2){
                            if(n % i == 0){
                                    return false;
                            }
                    }
                    return true;
            }
    }
 
    private static long pow(int base,int exp){
            if(exp == 0){
                    return 1;
            }else if(exp == 1){
                    return base;
            }else{
                    long a = pow(base,exp/2);
                    if(exp%2 == 0){
                            return a * a;
                    }else{
                            return a * a * base;
                    }
            }
 
    }
 
    private static int gcd(int a,int b){
            if(a == 0){
                    return b;
            }
 
            return gcd(b%a,a);
    }
 
    private static int lcm(int a,int b){
            return (a * b)/gcd(a,b);
    }
    
 
    
    private static int BSearch(int target, int[] arr){
        int index = -1;
        int l = 0;
        int r = arr.length - 1;
        
        while(l <= r){
            int mid = (l + r) / 2;
            if(arr[mid] <= target){
                index = mid;
                l = mid + 1;
            } else{
                r = mid - 1;    
            }
        }
        
        return index;
    }
        
 
}
 
 
class FastScanner { 
    BufferedReader br; 
    StringTokenizer st; 
 
    public FastScanner() 
    { 
        br = new BufferedReader(new
                 InputStreamReader(System.in)); 
    } 
 
    String next() 
    { 
        while (st == null || !st.hasMoreElements()) 
        { 
            try
            { 
                st = new StringTokenizer(br.readLine()); 
            } 
            catch (IOException  e) 
            { 
                e.printStackTrace(); 
            } 
        } 
        return st.nextToken(); 
    } 
 
    int nextInt() 
    { 
        return Integer.parseInt(next()); 
    } 
 
    long nextLong() 
    { 
        return Long.parseLong(next()); 
    } 
 
    double nextDouble() 
    { 
        return Double.parseDouble(next()); 
    } 
 
    String nextLine() 
    { 
        String str = ""; 
        try
        { 
            str = br.readLine(); 
        } 
        catch (IOException e) 
        { 
            e.printStackTrace(); 
        } 
        return str; 
    } 
 
    int[] nextIntArray(int length) {
       int[] arr = new int[length];
       for (int i = 0; i < length; i++)
           arr[i] = nextInt();
       return arr;
   }
} 
 
class Node
{
    public int V;
    public Node(int v)
    {
        this.V=v;
    }
}

class Pair implements Comparable<Pair>{
    int first;
    int second;
    public Pair(int a, int b){
        first = a;
        second = b;
    }

    @Override
    public int compareTo(Pair t) {
        if(first < t.first) return -1;
        else if(first == t.first) return 0;
        else return 1;
    }
}
 

//class DSolver{
//    int[][] grid;
//    int Colors;
//    int Rows;
//    int Columns;
//    long Combinations;
//    
//    void begin(){
//        FastScanner sc = new FastScanner();
//        Combinations = 0;
//        Columns = 3;
//        Colors = 3;
//        Rows = sc.nextInt();
//        grid = new int[Rows][Columns];
//        
//        solve(0, 0);
//        
//    }
//    
//    void solve(int r, int c){
//        for(int i = 1; i <= Colors; i++){
//            if(valid(r,c,i)){
//                grid[r][c] = i;
//                if(r == Rows - 1 && c == Columns - 1)
//                    Combinations++;
//                else if(r == Rows - 1) solve(0, c + 1);
//                else solve(r + 1, c);
//            }
//        }
//        grid[r][c] = 0;
//    }
//    
//    boolean valid(int r, int c, int n){
//        return(leftOK(r, c, n) && rightOK(r, c, n) &&  topOK(r, c, n) &&  bottomOK(r, c, n));
//    }
//    
//    boolean leftOK(int r, int c, int n){
//        if(c == 0) return true;
//        if(grid[r][c - 1] != n) return true;
//        return false;
//    }
//    
//    boolean rightOK(int r, int c, int n){
//        if(r == 0) return true;
//        if(grid[r - 1][c] != n) return true;
//        return false;        
//    }
//    
//    boolean topOK(int r, int c, int n)
//    {
//        if(r == 0) return true;
//        if(grid[r - 1][c] != n) return true;
//        return false;
//    }
//
//    boolean bottomOK(int r, int c, int n)
//    {
//        if(r == Rows - 1) return true;
//        if(grid[r + 1][c] != n) return true;
//        return false;
//    }    
//    
//}
// 
 
//    private static ArrayList<Integer> primeSieve(int n){
//        boolean b[] = new boolean[n+1];
//        b[0] = true;
//        b[1] = true;
//        for(int i=2;i<=5;i++){
//                int j = 2;
//                while(i * j <= n && !b[i]){
//                        b[i * j] = true;
//                        j++;
//                }
//        }
// 
//        ArrayList<Integer> arr = new ArrayList<>();
//        for(int i=2;i<n+1;i++){
//                if(!b[i]){
//                        arr.add(i);
//                }
//        }
// 
//        return arr;
//    }   
 
 
// atcoder 159 D 
//        int n = sc.nextInt();
//        HashMap<Integer, Integer> map = new HashMap();
//        int[] arr = new int[n];
//        int[] freq = new int[200005];
//        for(int i = 0; i < n; i++){
//            int x = sc.nextInt();
//            if(!map.containsKey(x))
//                map.put(x, 1);
//            freq[x]++;
//            arr[i] = x;
//        }
//        long sum = 0;
//        //out.println("map size: " + map.size());
//        for(Map.Entry<Integer,Integer> entry : map.entrySet()){
//            int curr = entry.getKey();
//            int x = freq[curr];
//            double a  = x * ( (double) (x - 1) / 2);
//            sum += (int) a;
//        }
//        //out.println("sum: " + sum);
//        for(int i = 0; i < n; i++){
//            int curr  = arr[i];
//            int oldFreq = freq[curr];
//            double a  = oldFreq * ( (double) (oldFreq - 1) / 2);
//            int newFreq = freq[curr] - 1;
//            double b  = newFreq * ( (double) (newFreq - 1) / 2);
//            long sub = (long) a - (long) b;
//            //out.println("sub: " + sub);
//            out.println(sum - sub);
//        }




// for atcoder 163 F
//        int n = sc.nextInt();
//        Pair[] arr = new Pair[n];
//        for(int i = 0; i < n; i++){
//            Pair a = new Pair(sc.nextInt(), i);
//            arr[i] = a;
//        }
//        Arrays.sort(arr);
//        long sum = 0;
//        int sel = 0;
//        HashMap<Integer, Integer> map = new HashMap();
//
//        for(int i = n - 1; i >= 0; i--){
//
//            if(sel == n / 2)
//                break;
//            if(n == i - 1){
//                map.put(arr[i].second, 1);
//                sum += arr[i].first;
//                sel++;
//                continue;
//            }
//            if(map.containsKey(arr[i].second - 1) || map.containsKey(arr[i].second + 1)){
//                continue;
//            }
//            map.put(arr[i].second, 1);
//            sum += arr[i].first;
//            sel++;
//        }
//        out.println(sum);