You are given a permutation p_1, p_2, ..., p_n. Recall that sequence of n integers is called a permutation if it contains all integers from 1 to n exactly once.

Find three indices i, j and k such that: 

  * 1 ≤ i < j < k ≤ n; 
  * p_i < p_j and p_j > p_k. 

Or say that there are no such indices.

Input

The first line contains a single integer T (1 ≤ T ≤ 200) — the number of test cases.

Next 2T lines contain test cases — two lines per test case. The first line of each test case contains the single integer n (3 ≤ n ≤ 1000) — the length of the permutation p.

The second line contains n integers p_1, p_2, ..., p_n (1 ≤ p_i ≤ n; p_i ≠ p_j if i ≠ j) — the permutation p.

Output

For each test case: 

  * if there are such indices i, j and k, print YES (case insensitive) and the indices themselves; 
  * if there are no such indices, print NO (case insensitive). 



If there are multiple valid triples of indices, print any of them.

Example

Input


3
4
2 1 4 3
6
4 6 1 2 5 3
5
5 3 1 2 4


Output


YES
2 3 4
YES
3 5 6
NO
/* package codechef; // don't place package name! */


import java.math.BigInteger;
import java.util.*;
import java.lang.*;
import java.io.*;
/* Name of the class has to be "Main" only if the class is public. */
public class Solution
{
    // Complete the maximumSum function below.
    public static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;
        private BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

        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 String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            }
            catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
        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 double nextDouble() {
            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, nextInt());
                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, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            return res * sgn;
        }

        public String readString() {
            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 readString();
        }

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

    static boolean prime(long a){
        if(a==2||a==3)
            return true;
        if((a-1)%6==0)
            return true;
        if((a+1)%6==0)
            return true;
        return false;
    }
    public static  long gcd(long a,long b){
        if(b==0)
            return a;
        long r=a%b;
        return gcd(b,r);
    }

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


    public class ListNode {
        int val;
        ListNode next;
        ListNode() {}
        ListNode(int val) { this.val = val; }
        ListNode(int val, ListNode next) { this.val = val; this.next = next; }
    }

    public class TreeNode {
        int val;
        TreeNode left;
        TreeNode right;
        TreeNode() {}
        TreeNode(int val) { this.val = val; }
        TreeNode(int val, TreeNode left, TreeNode right) {
            this.val = val;
            this.left = left;
            this.right = right;
        }
    }

    class Node {
        public int val;
        public List<Node> children;

        public Node() {}

        public Node(int _val) {
            val = _val;
        }

        public Node(int _val, List<Node> _children) {
            val = _val;
            children = _children;
        }
    }


    public void sum(ListNode l1,ListNode l2,int carry,ListNode ans){
        if(l1==null&&l2==null&&carry==0)
            return;
        int value=carry;
        if(l1!=null){
            value+=l1.val;
            l1=l1.next;
        }
        if(l2!=null){
            value+=l2.val;
            l2=l2.next;
        }
        if(ans.val==-1)
            ans.val=value%10;
        else {
            ListNode p=new ListNode();
            p.val=value%10;
            p.next=null;
            ans.next=p;
            ans=ans.next;
        }
        sum(l1,l2,value/10,ans);
    }

    public ListNode addTwoNumbers(ListNode l1, ListNode l2) {
        ListNode x=new ListNode();
        x.val=-1;
        x.next=null;
        sum(l1,l2,0,x);
        return x;
    }



    public boolean isPalindrome(ListNode head) {
        ListNode fast=head,slow=head;
        Stack<Integer> y=new Stack<>();
        while (fast!=null&&fast.next!=null) {
            y.add(slow.val);
            fast = fast.next.next;
            slow=slow.next;
        }
        if(fast!=null){
            slow=slow.next;
        }
        boolean x=true;
        while (slow!=null){
            if(y.pop()!=slow.val)
            {
                x=false;
                break;
            }
            slow=slow.next;
        }
        return x;
    }



    // private static final FastReader scanner = new FastReader();
    public static void main(String[] args) throws IOException {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader scanner = new InputReader(inputStream);
        PrintWriter w = new PrintWriter(outputStream);
        int n=scanner.nextInt();
        while (n-->0){
            int d=scanner.nextInt();
            int arr[]=new int[d];
            int max=0,ind=0;
            for(int i=0;i<d;i++){
                arr[i]=scanner.nextInt();
            }
            boolean c=false;
            for(int i=1;i+1<arr.length;i++){
                if(arr[i-1]<arr[i]&&arr[i]>arr[i+1]){
                    c=true;
                    w.println("YES");
                    w.println((i)+" "+(i+1)+" "+(i+2));
                    break;
                }
            }
            if(!c)
                w.println("NO");
        }
        w.close();
    }
}