This problem is actually a subproblem of problem G from the same contest.

There are $n$ candies in a candy box. The type of the $i$-th candy is $a_i$ ($1 \le a_i \le n$).

You have to prepare a gift using some of these candies with the following restriction: the numbers of candies of each type presented in a gift should be all distinct (i. e. for example, a gift having two candies of type $1$ and two candies of type $2$ is bad). 

It is possible that multiple types of candies are completely absent from the gift. It is also possible that not all candies of some types will be taken to a gift.

Your task is to find out the maximum possible size of the single gift you can prepare using the candies you have.

You have to answer $q$ independent queries.

If you are Python programmer, consider using PyPy instead of Python when you submit your code.


-----Input-----

The first line of the input contains one integer $q$ ($1 \le q \le 2 \cdot 10^5$) — the number of queries. Each query is represented by two lines.

The first line of each query contains one integer $n$ ($1 \le n \le 2 \cdot 10^5$) — the number of candies.

The second line of each query contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le n$), where $a_i$ is the type of the $i$-th candy in the box.

It is guaranteed that the sum of $n$ over all queries does not exceed $2 \cdot 10^5$.


-----Output-----

For each query print one integer — the maximum possible size of the single gift you can compose using candies you got in this query with the restriction described in the problem statement.


-----Example-----
Input
3
8
1 4 8 4 5 6 3 8
16
2 1 3 3 4 3 4 4 1 3 2 2 2 4 1 1
9
2 2 4 4 4 7 7 7 7

Output
3
10
9



-----Note-----

In the first query, you can prepare a gift with two candies of type $8$ and one candy of type $5$, totalling to $3$ candies.

Note that this is not the only possible solution — taking two candies of type $4$ and one candy of type $6$ is also valid.

```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\nfrom collections import Counter\nimport itertools\n\ndef input():\n    return sys.stdin.readline().strip()\n\ndef dinput():\n    return int(input())\n\ndef tinput():\n    return input().split()\n\ndef rinput():\n    return map(int, tinput())\n\ndef main():\n    input()\n    q = {}\n    for i in tinput():\n        if i not in q:\n            q[i] = 1\n        else:\n            q[i] = q[i] + 1\n    r = []\n    for i in q:\n        r.append(q[i])\n    r.sort()\n    y = 0\n    t = []\n    for i in range(len(r)):\n        while r[i] in t and r[i] > 0:\n            r[i] -= 1\n        t.append(r[i])\n        y += t[i]\n    print(y)\n        \nfor i in range(int(input())):\n    main()'
_co = compile(_CODE, USER_FILENAME, "exec")
exec(_co, ns, ns)

```

Measured memory_bytes: 14479