As the increase of population, the living space for people is becoming smaller and smaller. In MagicStar the problem is much worse.  Dr. Mathematica is trying to save land by clustering buildings and then we call the set of buildings  MagicBuilding. Now we can treat the buildings as a sqaure of size d, and the height doesn't matter. Buildings of d1,d2,d3....dn can be clustered into one MagicBuilding if they satisfy di != dj(i != j).

Given  a series of buildings size , you need to calculate the minimal numbers of MagicBuildings that can be made. Note that one building can also be considered as a MagicBuilding.

Suppose there are five buildings : 1, 2, 2, 3, 3. We make three MagicBuildings (1,3), (2,3), (2) .And we can also make two MagicBuilding :(1,2,3), (2,3). There is at least two MagicBuildings obviously.  


The first line of the input is a single number t (0<t<10) , indicating the number of test cases.
Each test case starts by  n (1<=n<=10^4) in a line indicating the number of buildings. Next n positive numbers (less than 2^31) will be the size of the buildings.


For each test case , output a number m per line, meaning the minimal number of the MagicBuilding that can be made.

Sample Input

1 2 2 3 3
Sample Output


Author: magicpig