You are given a permutation $p_1, p_2, \dots, p_n$. 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:   $1 \le i < j < k \le n$;  $p_i < p_j$ and $p_j > p_k$.  Or say that there are no such indices.


-----Input-----

The first line contains a single integer $T$ ($1 \le T \le 200$) — 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 $n$ ($3 \le n \le 1000$) — the length of the permutation $p$.

The second line contains $n$ integers $p_1, p_2, \dots, p_n$ ($1 \le p_i \le n$; $p_i \neq p_j$ if $i \neq j$) — 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

```python

USER_FILENAME = "<user_code>"
import sys, json, builtins
import math, heapq, bisect, itertools, functools, collections, statistics, fractions, decimal, operator, array, random, re, string, os, pathlib
try:
    import resource as _res
except Exception:
    _res = None
from collections import Counter, defaultdict, deque, OrderedDict
from functools import lru_cache, reduce
from itertools import accumulate, permutations, combinations, product
from math import gcd, ceil, floor, sqrt
from decimal import Decimal
try:
    from typing import *
except Exception:
    pass
try:
    sys.setrecursionlimit(1_000_000)
except Exception:
    pass
try:
    import site as _site
    try:
        _sys_sites = _site.getsitepackages() if hasattr(_site, "getsitepackages") else []
        for _p in _sys_sites:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
    try:
        _usp = _site.getusersitepackages()
        if isinstance(_usp, str):
            _usp = [_usp]
        for _p in _usp:
            if _p and _p not in sys.path:
                sys.path.append(_p)
    except Exception:
        pass
except Exception:
    pass

ns = {"__name__": "__main__"}
for _k, _v in list(globals().items()):
    if not _k.startswith("_"):
        ns[_k] = _v
_CODE = 'import sys\n# from collections import defaultdict\n# t=1\nt=int(input())\nfor i in range(t):\n    n=int(input())\n    a=list(map(int,sys.stdin.readline().strip().split()))\n    # a,b,c,d=list(sys.stdin.readline().strip().split())\n    # n,k=list(map(int,sys.stdin.readline().strip().split()))\n    \n    x1=[]\n    x2=[]\n    \n    x=a[0]\n    mni=0\n    for j in range(n):\n       if(a[j]<x):\n           x=a[j]\n           mni=j\n       x1.append([x,mni])\n    \n    x=a[n-1]\n    mni=n-1\n    for j in range(n-1,-1,-1):\n        if(a[j]<x):\n            x=a[j]\n            mni=j\n        x2.append([x,mni])\n        \n    f=0\n    for j in range(1,n-1):\n        if(x1[j-1][0]<a[j] and a[j]>x2[n-j-1][0]):\n            print("YES")\n            print(x1[j-1][1]+1,j+1,x2[n-j-1][1]+1)\n            f=1\n            break\n    if(f):\n        continue\n    print("NO")\n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13653