Problem: 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 ≤ a_i ≤ 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 ≤ q ≤ 2 ⋅ 10^5) — the number of queries. Each query is represented by two lines.

The first line of each query contains one integer n (1 ≤ n ≤ 2 ⋅ 10^5) — the number of candies.

The second line of each query contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 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 ⋅ 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.

Solution (in PYTHON3):

Solution:
import sys,math

def read_int():
    return int(sys.stdin.readline().strip())

def read_int_list():
    return list(map(int,sys.stdin.readline().strip().split()))

def read_string():
    return sys.stdin.readline().strip()

def read_string_list(delim=" "):
    return sys.stdin.readline().strip().split(delim)

def print_list(l):
    print(" ".join(map(str, l)))


###### Author : Samir Vyas #######
###### Write Code Below    #######

q = read_int()

for _ in range(q):
	n = read_int()
	arr = read_int_list()

	freqs = {}
	for a in arr:
		if a not in freqs:
			freqs[a] = 1
		else:
			freqs[a] += 1

	vals = list(freqs.values())
	vals.sort(reverse=True)

	ans = vals[0]
	last_taken = vals[0]
	for i in range(1,len(freqs)):
		if last_taken == 0:
			break

		if vals[i] >= last_taken:
			ans += max(last_taken-1,0)
			last_taken = max(last_taken-1,0)
		else:
			ans += vals[i]
			last_taken = vals[i]

	print(ans)