Problem: Shubham has an array a of size n, and wants to select exactly x elements from it, such that their sum is odd. These elements do not have to be consecutive. The elements of the array are not guaranteed to be distinct.

Tell him whether he can do so.

Input

The first line of the input contains a single integer t (1≤ t ≤ 100) — the number of test cases. The description of the test cases follows.

The first line of each test case contains two integers n and x (1 ≤ x ≤ n ≤ 1000) — the length of the array and the number of elements you need to choose.

The next line of each test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 1000) — elements of the array.

Output

For each test case, print "Yes" or "No" depending on whether it is possible to choose x elements such that their sum is odd.

You may print every letter in any case you want.

Example

Input


5
1 1
999
1 1
1000
2 1
51 50
2 2
51 50
3 3
101 102 103


Output


Yes
No
Yes
Yes
No

Note

For 1st case: We must select element 999, and the sum is odd.

For 2nd case: We must select element 1000, so overall sum is not odd.

For 3rd case: We can select element 51.

For 4th case: We must select both elements 50 and 51 — so overall sum is odd.

For 5th case: We must select all elements — but overall sum is not odd.

Solution (in PYTHON3):

Solution:
#qn given an arr of size n for every  i position find a min j such that j>i and arr[j]>arr[i]
#it prints the position of the nearest .
import sys
input = sys.stdin.readline
 #qn given an arr of size n for every  i position find a min j such that j>i and arr[j]>arr[i]
#it prints the position of the nearest .
# import sys
import heapq 
import copy
import math
import decimal
# from decimal import *
#heapq.heapify(li) 
#
#heapq.heappush(li,4) 
#
#heapq.heappop(li)
#
# &	Bitwise AND Operator	10 & 7 = 2
# |	Bitwise OR Operator	10 | 7 = 15
# ^	Bitwise XOR Operator	10 ^ 7 = 13
 
# <<	Bitwise Left Shift operator	10<<2 = 40
# >>	Bitwise Right Shift Operator
# '''############ ---- Input Functions ---- #######Start#####'''

 
class Node:
    def _init_(self,val):
        self.data = val
        self.left = None
        self.right = None
##to initialize wire : object_name= node(val)##to create a new node
## can also be used to create linked list
class fen_tree:
    """Implementation of a Binary Indexed Tree (Fennwick Tree)"""
    
    #def __init__(self, list):
    #    """Initialize BIT with list in O(n*log(n))"""
    #    self.array = [0] * (len(list) + 1)
    #    for idx, val in enumerate(list):
    #        self.update(idx, val)
 
    def __init__(self, list):
        """"Initialize BIT with list in O(n)"""
        self.array = [0] + list
        for idx in range(1, len(self.array)):
            idx2 = idx + (idx & -idx)
            if idx2 < len(self.array):
                self.array[idx2] += self.array[idx]
 
    def prefix_query(self, idx):
        """Computes prefix sum of up to including the idx-th element"""
        # idx += 1
        result = 0
        while idx:
            result += self.array[idx]
            idx -= idx & -idx
        return result
    def prints(self):
        print(self.array)
        return
        # for i in self.array:
        #     print(i,end = " ")
        # return 
    def range_query(self, from_idx, to_idx):
        """Computes the range sum between two indices (both inclusive)"""
        return self.prefix_query(to_idx) - self.prefix_query(from_idx - 1)
 
    def update(self, idx, add):
        """Add a value to the idx-th element"""
        # idx += 1
        while idx < len(self.array):
            self.array[idx] += add
            idx += idx & -idx
 
 
def pre_sum(arr):
	#"""returns the prefix sum inclusive ie ith position in ans  represent sum from 0 to ith position"""
	p = [0]
	for i in arr:
		p.append(p[-1] + i)
	p.pop(0)
	return p
 
def pre_back(arr):
	#"""returns the prefix sum inclusive ie ith position in ans  represent sum from 0 to ith position"""
	p = [0]
	for i in arr:
		p.append(p[-1] + i)
	p.pop(0)
	return p
def bin_search(arr,l,r,val):#strickly greater
	if arr[r] <= val:
		return r+1	
	if r-l < 2:
		if arr[l]>val:
			return l
		else:
			return r
	mid = int((l+r)/2)
	if arr[mid] <= val:
		return bin_search(arr,mid,r,val)
	else:
		return bin_search(arr,l,mid,val)
def search_leftmost(arr,val):
	def helper(arr,l,r,val):
		# print(arr)
		print(l,r)
		if arr[l] == val:
			return l
		if r -l <=1:
			if arr[r] == val:
				return r
			else:
				print("not found")
				return
		mid = int((r+l)/2)
		if arr[mid] >= val:
			return helper(arr,l,mid,val)
		else:
			return helper(arr,mid,r,val)
	return helper(arr,0,len(arr)-1,val)
def search_rightmost(arr,val):
	def helper(arr,l,r,val):
		# print(arr)
		print(l,r)
		if arr[r] == val:
			return r
		if r -l <=1:
			if arr[l] == val:
				return r
			else:
				print("not found")
				return
		mid = int((r+l)/2)
		if arr[mid] > val:
			return helper(arr,l,mid,val)
		else:
			return helper(arr,mid,r,val)
	return helper(arr,0,len(arr)-1,val)
def preorder_postorder(root,paths,parent,left,level):
	# if len(paths[node]) ==1 and node !=1 :
	# 	return [parent,left,level]
	l = 0
	queue = [root]
	while(queue!=[]):
		node = queue[-1]
		# print(queue,node)
		flag = 0
		for i in paths[node]:
			if i!=parent[node] and level[i]== sys.maxsize:
				parent[i] = node
				level[i] = level[node]+1
				flag = 1
				queue.append(i)
		if flag == 0:
			left[parent[node]] +=(1+left[node])
			queue.pop()
	# 		[parent,left,level] = helper(i,paths,parent,left,level)
	# 		l = left[i] + l +1
	# left[node] = l
	return [parent,left,level]
def nCr(n, r, p): 
    # initialize numerator 
    # and denominator 
	if r == 0:
		return 1
	num = den = 1 
	for i in range(r): 
		num = (num * (n - i)) % p 
		den = (den * (i + 1)) % p 
	return (num * pow(den,p - 2, p)) % p 
def inp():
	return(int(input()))
def inlt(): 
	return(list(map(int,input().split())))
def insr():
	s = input()
	return(list(s[:len(s) - 1]))
def invr():
	return(map(int,input().split()))
 ############ ---- Input Functions ---- #######End
 # #####   
def pr_list(a):
	print(*a, sep=" ")
def main():
	tests =  inp()
	# tests = 1
	mod = 1000000007
 
	limit = 10**18
	for test in range(tests):
		[n,x] = inlt()
		a = inlt()
		n_e = 0
		n_o = 0
		for i in a:
			if i%2 == 0:
				n_e+=1
			else:
				n_o+=1
		if n_o == 0:
			print("no")
			continue
		if x%2 == 0:
			
			n_o = n_o-1
			x = x -2
			n_e = n_e -1
		else:
			n_o = n_o-1
			x = x -1
			
			

		if n_e < 0:
			print("no")
			continue

		flag = 0
		while(True):
			if x <= 0:
				flag = 1
				break
			if n_e >= x:
				flag = 1
				break
			if n_o <= 1:
				break
			n_o = n_o-2
			x = x -2

		if flag ==0:
			print("no")
		else:
			print("yes")
			


			
			 
			




if __name__== "__main__":
	main()