Problem: Ehab loves number theory, but for some reason he hates the number x. Given an array a, find the length of its longest subarray such that the sum of its elements isn't divisible by x, or determine that such subarray doesn't exist.

An array a is a subarray of an array b if a can be obtained from b by deletion of several (possibly, zero or all) elements from the beginning and several (possibly, zero or all) elements from the end.

Input

The first line contains an integer t (1 ≤ t ≤ 5) — the number of test cases you need to solve. The description of the test cases follows.

The first line of each test case contains 2 integers n and x (1 ≤ n ≤ 10^5, 1 ≤ x ≤ 10^4) — the number of elements in the array a and the number that Ehab hates.

The second line contains n space-separated integers a_1, a_2, …, a_{n} (0 ≤ a_i ≤ 10^4) — the elements of the array a.

Output

For each testcase, print the length of the longest subarray whose sum isn't divisible by x. If there's no such subarray, print -1.

Example

Input


3
3 3
1 2 3
3 4
1 2 3
2 2
0 6


Output


2
3
-1

Note

In the first test case, the subarray [2,3] has sum of elements 5, which isn't divisible by 3.

In the second test case, the sum of elements of the whole array is 6, which isn't divisible by 4.

In the third test case, all subarrays have an even sum, so the answer is -1.

Solution (in PYTHON3):

Solution:
#                                               |
#   _` |  __ \    _` |   __|   _ \   __ \    _` |   _` |
#  (   |  |   |  (   |  (     (   |  |   |  (   |  (   |
# \__,_| _|  _| \__,_| \___| \___/  _|  _| \__,_| \__,_|

import sys
import math
 
def read_line():
	return sys.stdin.readline()[:-1]
 
def read_int():
	return int(sys.stdin.readline())
 
def read_int_line():
	return [int(v) for v in sys.stdin.readline().split()]

#GFG

def CeilIndex(A, l, r, key): 
  
	while (r - l > 1): 
	  
		m = l + (r - l)//2
		if (A[m] >= key): 
			r = m 
		else: 
			l = m 
	return r 
   
def lis(A, size): 
  
	# Add boundary case, 
	# when array size is one 
   
	tailTable = [0 for i in range(size + 1)] 
	len = 0 # always points empty slot 
   
	tailTable[0] = A[0] 
	len = 1
	for i in range(1, size): 
	  
		if (A[i] < tailTable[0]): 
  
			# new smallest value 
			tailTable[0] = A[i] 
   
		elif (A[i] > tailTable[len-1]): 
  
			# A[i] wants to extend 
			# largest subsequence 
			tailTable[len] = A[i] 
			len+= 1
   
		else: 
			# A[i] wants to be current 
			# end candidate of an existing 
			# subsequence. It will replace 
			# ceil value in tailTable 
			tailTable[CeilIndex(tailTable, -1, len-1, A[i])] = A[i] 
		  
   
	return len

def countDistinct(arr, n): 
  
	# Creates an empty hashset  
	s = set() 
	  
	# Traverse the input array  
	res = 0
	for i in range(n): 
	  
		# If not present, then put it in  
		# hashtable and increment result  
		if (arr[i] not in s): 
			s.add(arr[i]) 
			res += 1
	  
	return res 

t = read_int()
for i in range(t):
	n = read_int()
	a = read_int_line()
	l1 = lis(a,n)
	lm = countDistinct(a,n)
	print(max(lm,l1))