"What do you know about happiness?" — Yoda 
Chef is happy only if three conditions hold:
- Chef finished cooking a delicious meal
- Chef got AC for a programming problem with an almost correct code
- Chef got a new problem with a sequence of integers
Today, all three conditions are satisfied. Chef would like you to feel his happiness and provide him with a solution for this new problem with a sequence of integers. The problem is as follows.
You are given a sequence $A_1, A_2, \dots, A_N$. You need to determine if it is possible to choose two indices $i$ and $j$ such that $A_i \neq A_j$, but $A_{A_i}$ = $A_{A_j}$. (If it was possible, Chef would be truly happy.)

-----Input-----
- The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
- The first line of each test case contains a single integer $N$.
- The second line contains $N$ space-separated integers $A_1, A_2, \ldots, A_N$.

-----Output-----
For each test case, print a single line containing the string "Truly Happy" if it is possible to choose required indices or "Poor Chef" otherwise.

-----Constraints-----
- $1 \le T \le 1,000$
- $1 \le N \le 10^5$
- $1 \le A_i \le N$ for each valid $i$
- the sum of $N$ over all test cases does not exceed $2 \cdot 10^5$

-----Subtasks-----
Subtask #1 (27 points): $1 \le N \le 1,000$
Subtask #2 (73 points): original constraints

-----Example Input-----
4
4
1 1 2 3
4
2 1 3 3
5
5 4 4 3 1
5
3 2 1 1 4

-----Example Output-----
Truly Happy
Poor Chef
Poor Chef
Truly Happy

-----Explanation-----
Example case 1: Chef is truly happy because $A_{A_3} = A_{A_1}$ and $A_3 \neq A_1$.
Example case 2: There is no pair of indices which would make Chef truly happy. For instance, $A_{A_3} = A_{A_4}$, but $A_3 = A_4$,

```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 = 'for _ in range(int(input())):\n a = int(input())\n array = list(map(int,input().split()))\n common = list()\n for x in array:\n  if array.count(x)>1:\n   common.append(x)\n \n if len(common)==0:\n  print("Poor Chef")\n  continue\n \n ind = dict()\n for x in common:\n  if x not in ind:\n   ind[x]=list()\n  for y in range(len(array)):\n   if array[y]==x:\n    ind[x].append(y+1)\n   \n flag = 0\n for x in ind:\n  lis = ind[x]\n  for m in lis:\n   for n in lis:\n    if m!=n and m in array and n in array:\n     print("Truly Happy")\n     flag = 1\n     break\n   if flag == 1:\n    break\n  if flag == 1:\n   break\n else:\n  if flag == 0:\n   print("Poor Chef")\n     \n'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 13481