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:
from sys import stdin
from collections import deque
# https://codeforces.com/contest/1354/status/D
mod = 10**9 + 7
import sys
import random
# sys.setrecursionlimit(10**6)
from queue import PriorityQueue
# def rl():
#     return [int(w) for w in stdin.readline().split()]
from bisect import bisect_right
from bisect import bisect_left
from collections import defaultdict
from math import sqrt,factorial,gcd,log2,inf,ceil
# map(int,input().split())
# # l = list(map(int,input().split()))
# from itertools import permutations
import heapq
# input = lambda: sys.stdin.readline().rstrip()
input = lambda : sys.stdin.readline().rstrip()
from sys import stdin, stdout
from heapq import heapify, heappush, heappop
from itertools import permutations
from math import factorial as f

# def ncr(x, y):
#     return f(x) // (f(y) * f(x - y))
def ncr(n, r, p):
    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

import sys

# input = sys.stdin.readline
# LCA
# def bfs(na):
#
#     queue = [na]
#     boo[na] = True
#     level[na] = 0
#
#     while queue!=[]:
#
#         z = queue.pop(0)
#
#         for i in hash[z]:
#
#             if not boo[i]:
#
#                 queue.append(i)
#                 level[i] = level[z] + 1
#                 boo[i] = True
#                 dp[i][0] = z
#
#
#
# def prec(n):
#
#     for i in range(1,20):
#
#         for j in range(1,n+1):
#             if dp[j][i-1]!=-1:
#                 dp[j][i] = dp[dp[j][i-1]][i-1]
#
#
# def lca(u,v):
#     if level[v] < level[u]:
#         u,v = v,u
#
#     diff = level[v] - level[u]
#
#
#     for i in range(20):
#         if ((diff>>i)&1):
#             v = dp[v][i]
#
#
#     if u == v:
#         return u
#
#
#     for i in range(19,-1,-1):
#         # print(i)
#         if dp[u][i] != dp[v][i]:
#
#             u = dp[u][i]
#             v = dp[v][i]
#
#
#     return dp[u][0]
#
# dp = []
#
#
# n = int(input())
#
# for i in range(n + 10):
#
#     ka = [-1]*(20)
#     dp.append(ka)


# class FenwickTree:
#     def __init__(self, x):
#         """transform list into BIT"""
#         self.bit = x
#         for i in range(len(x)):
#             j = i | (i + 1)
#             if j < len(x):
#                 x[j] += x[i]
#
#     def update(self, idx, x):
#         """updates bit[idx] += x"""
#         while idx < len(self.bit):
#             self.bit[idx] += x
#             idx |= idx + 1
#
#     def query(self, end):
#         """calc sum(bit[:end])"""
#         x = 0
#         while end:
#             x += self.bit[end - 1]
#             end &= end - 1
#         return x
#
#     def find_kth_smallest(self, k):
#         """Find largest idx such that sum(bit[:idx]) <= k"""
#         idx = -1
#         for d in reversed(range(len(self.bit).bit_length())):
#             right_idx = idx + (1 << d)
#             if right_idx < len(self.bit) and k >= self.bit[right_idx]:
#                 idx = right_idx
#                 k -= self.bit[idx]
#         return idx + 1



# import sys
# def rs(): return sys.stdin.readline().strip()
# def ri(): return int(sys.stdin.readline())
# def ria(): return list(map(int, sys.stdin.readline().split()))
# def prn(n): sys.stdout.write(str(n))
# def pia(a): sys.stdout.write(' '.join([str(s) for s in a]))
#
#
# import gc, os
#
# ii = 0
# _inp = b''
#
#
# def getchar():
#     global ii, _inp
#     if ii >= len(_inp):
#         _inp = os.read(0, 100000)
#         gc.collect()
#         ii = 0
#     if not _inp:
#         return b' '[0]
#     ii += 1
#     return _inp[ii - 1]
#
#
# def input():
#     c = getchar()
#     if c == b'-'[0]:
#         x = 0
#         sign = 1
#     else:
#         x = c - b'0'[0]
#         sign = 0
#     c = getchar()
#     while c >= b'0'[0]:
#         x = 10 * x + c - b'0'[0]
#         c = getchar()
#     if c == b'\r'[0]:
#         getchar()
#     return -x if sign else x

# fenwick Tree

# n,q = map(int,input().split())
#
#
# l1 = list(map(int,input().split()))
#
# l2 = list(map(int,input().split()))
#
# bit = [0]*(10**6 + 1)
#
# def update(i,add,bit):
#
#     while i>0 and i<len(bit):
#
#         bit[i]+=add
#         i = i + (i&(-i))
#
#
# def sum(i,bit):
#     ans = 0
#     while i>0:
#
#         ans+=bit[i]
#         i = i - (i & ( -i))
#
#
#     return ans
#
# def find_smallest(k,bit):
#
#     l = 0
#     h = len(bit)
#     while l<h:
#
#         mid = (l+h)//2
#         if k <= sum(mid,bit):
#             h = mid
#         else:
#             l = mid + 1
#
#
#     return l
#
#
# def insert(x,bit):
#     update(x,1,bit)
#
# def delete(x,bit):
#     update(x,-1,bit)
# fa = set()
#
# for i in l1:
#     insert(i,bit)
#
#
# for i in l2:
#     if i>0:
#         insert(i,bit)
#
#     else:
#         z = find_smallest(-i,bit)
#
#         delete(z,bit)
#
#
# # print(bit)
# if len(set(bit)) == 1:
#     print(0)
# else:
#     for i in range(1,n+1):
#         z = find_smallest(i,bit)
#         if z!=0:
#             print(z)
#             break
#

# service time problem


# def solve2(s,a,b,hash,z,cnt):
#     temp = cnt.copy()
#     x,y = hash[a],hash[b]
#     i = 0
#     j = len(s)-1
#
#     while z:
#
#         if s[j] - y>=x-s[i]:
#             if temp[s[j]]-1 == 0:
#                 j-=1
#             temp[s[j]]-=1
#             z-=1
#
#
#         else:
#             if temp[s[i]]-1 == 0:
#                 i+=1
#
#             temp[s[i]]-=1
#             z-=1
#
#     return s[i:j+1]
#
#
#
#
#
# def solve1(l,s,posn,z,hash):
#
#     ans = []
#     for i in l:
#         a,b = i
#         ka = solve2(s,a,b,posn,z,hash)
#         ans.append(ka)
#
#         return ans
#
# def consistent(input, window, min_entries, max_entries, tolerance):
#
#     l = input
#     n = len(l)
#     l.sort()
#     s = list(set(l))
#     s.sort()
#
#     if min_entries<=n<=max_entries:
#
#         if s[-1] - s[0]<window:
#             return True
#         hash = defaultdict(int)
#         posn = defaultdict(int)
#         for i in l:
#             hash[i]+=1
#
#         z = (tolerance*(n))//100
#         poss_window = set()
#
#
#         for i in range(len(s)):
#                 posn[i] = l[i]
#                 for j in range(i+1,len(s)):
#                     if s[j]-s[i] == window:
#                         poss_window.add((s[i],s[j]))
#
#         if poss_window!=set():
#             print(poss_window)
#             ans = solve1(poss_window,s,posn,z,hash)
#             print(ans)
#
#
#         else:
#             pass
#
#     else:
#         return False
#
#
#
#
# l = list(map(int,input().split()))
#
# min_ent,max_ent = map(int,input().split())
# w = int(input())
# tol = int(input())
# consistent(l, w, min_ent, max_ent, tol)

# t = int(input())
#
# for i in range(t):
#
#     n,x = map(int,input().split())
#
#     l = list(map(int,input().split()))
#
#     e,o = 0,0
#
#     for i in l:
#         if i%2 == 0:
#             e+=1
#         else:
#             o+=1
#
#     if e+o>=x and o!=0:
#         z = e+o - x
#         if z == 0:
#             if o%2 == 0:
#                 print('No')
#             else:
#                 print('Yes')
#             continue
#         if o%2 == 0:
#             o-=1
#             z-=1
#             if e>=z:
#                 print('Yes')
#             else:
#                 z-=e
#                 o-=z
#                 if o%2!=0:
#                     print('Yes')
#                 else:
#                     print('No')
#
#         else:
#
#             if e>=z:
#                 print('Yes')
#             else:
#                 z-=e
#                 o-=z
#                 if o%2!=0:
#                     print('Yes')
#                 else:
#                     print('No')
#     else:
#         print('No')
#
#
#
#
#
#


for i in range(10**5):
    pass

for i in range(10**5):
    pass

t=int(input())
for _ in range(t):
    n,x=map(int,input().split())
    a=list(map(int,input().split()))
    odd=0
    even=0
    for i in a:
        if i%2 == 0:
            even += 1
        else:
            odd += 1
    ok=False
    for i in range(1,x+1,2):
        if odd>=i and even>=x-i:
            ok=True
    if ok:
        print('Yes')
    else:
        print("No")