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:
def tointarray(array):
    for i in range(0, len(array)):
        array[i] = int(array[i])
    return array


def result(numInBox, candies):
    count = []
    for i in range(0, numInBox):
        count.append(0)

    for candy in candies:
        count[candy-1] += 1

    spots = []
    for i in range(0, numInBox+1):
        spots.append(0)

    for i in count:
        while i > 0:
            if spots[i] == 0:
                spots[i] = -1
                break
            i -= 1

    ans = 0
    for i in range(0, len(spots)):
        if spots[i] == -1:
            ans += i

    return ans


numBox = int(input(''))
numInBox = []
candies = []
for i in range(0, numBox):
    numInBox.append(int(input('')))
    candies.append(input(''))

answers = []

for i in range(0, numBox):
    answers.append(result(numInBox[i], tointarray(candies[i].split(' '))))

for answer in answers:
    print(answer)