T is playing a game with his friend, HL.

There are $n$ piles of stones, the $i$-th pile initially has $a_i$ stones. 

T and HL will take alternating turns, with T going first. In each turn, a player chooses a non-empty pile and then removes a single stone from it. However, one cannot choose a pile that has been chosen in the previous turn (the pile that was chosen by the other player, or if the current turn is the first turn then the player can choose any non-empty pile). The player who cannot choose a pile in his turn loses, and the game ends.

Assuming both players play optimally, given the starting configuration of $t$ games, determine the winner of each game.


-----Input-----

The first line of the input contains a single integer $t$ $(1 \le t \le 100)$ — the number of games. The description of the games follows. Each description contains two lines:

The first line contains a single integer $n$ $(1 \le n \le 100)$ — the number of piles.

The second line contains $n$ integers $a_1, a_2, \dots, a_n$ $(1 \le a_i \le 100)$.


-----Output-----

For each game, print on a single line the name of the winner, "T" or "HL" (without quotes)


-----Example-----
Input
2
1
2
2
1 1

Output
T
HL



-----Note-----

In the first game, T removes a single stone from the only pile in his first turn. After that, although the pile still contains $1$ stone, HL cannot choose from this pile because it has been chosen by T in the previous turn. Therefore, T is the winner.

```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\nT = int(sys.stdin.readline().strip())\nfor t in range (0, T):\n    n = int(sys.stdin.readline().strip())\n    a = list(map(int, sys.stdin.readline().strip().split()))\n    if max(a) > sum(a) / 2:\n        print('T')\n    elif sum(a) % 2 == 1:\n        print('T')\n    else:\n        print('HL')"
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13377