B. All Distinct

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Sho has an array aa consisting of nn integers. An operation consists of choosing two distinct indices ii and jj and removing aiai and ajaj from the array.

For example, for the array [2,3,4,2,5][2,3,4,2,5], Sho can choose to remove indices 11 and 33. After this operation, the array becomes [3,2,5][3,2,5]. Note that after any operation, the length of the array is reduced by two.

After he made some operations, Sho has an array that has only distinct elements. In addition, he made operations such that the resulting array is the longest possible.

More formally, the array after Sho has made his operations respects these criteria:

• No pairs such that (i<ji<j) and ai=ajai=aj exist.
• The length of aa is maximized.

Output the length of the final array.

Input

The first line contains a single integer tt (1≤t≤1031≤t≤103) — the number of test cases.

The first line of each test case contains a single integer nn (1≤n≤501≤n≤50) — the length of the array.

The second line of each test case contains nn integers aiai (1≤ai≤1041≤ai≤104) — the elements of the array.

Output

For each test case, output a single integer — the length of the final array. Remember that in the final array, all elements are different, and its length is maximum.

Example

input

Copy

4
6
2 2 2 3 3 3
5
9 1 9 9 1
4
15 16 16 15
4
10 100 1000 10000

output

Copy

2
1
2
4

Note

For the first test case Sho can perform operations as follows:

1. Choose indices 11 and 55 to remove. The array becomes [2,2,2,3,3,3]→[2,2,3,3][2,2,2,3,3,3]→[2,2,3,3].
2. Choose indices 11 and 44 to remove. The array becomes [2,2,3,3]→[2,3][2,2,3,3]→[2,3].

The final array has a length of 22, so the answer is 22. It can be proven that Sho cannot obtain an array with a longer length.

For the second test case Sho can perform operations as follows:

1. Choose indices 33 and 44 to remove. The array becomes [9,1,9,9,1]→[9,1,1][9,1,9,9,1]→[9,1,1].
2. Choose indices 11 and 33 to remove. The array becomes [9,1,1]→[1][9,1,1]→[1].

The final array has a length of 11, so the answer is 11. It can be proven that Sho cannot obtain an array with a longer length.

Problem solving instructions ： This question counts the number of the same number , Then judge whether the same number is 2 Integer multiple , If so, remove it directly , Otherwise, remove more 1 Number .

#include<stdio.h>

int main()
{
	int t, n, i, b;
	scanf("%d", &t);
	while (t--)
	{
		int c = 0;
		int a[100000] = { 0 };
		scanf("%d", &n);
		for (i = 0; i<n; i++)
		{
			scanf("%d", &b);
			if (a[b])
			{
				c++;
			}
			else
			{
				a[b] = 1;
			}
		}
		if (c % 2 == 0)
		{
			printf("%d\n", n - c);
		}
		else
		{
			printf("%d\n", n - c - 1);
		}
	}
	return 0;
}