description: Moamen has an array of n distinct integers. He wants to sort that array in non-decreasing order by doing the following operations in order exactly once:
  
    1. Split the array into exactly k non-empty subarrays such that each element belongs to exactly one subarray. 
    2. Reorder these subarrays arbitrary. 
    3. Merge the subarrays in their new order. 
  
  
  
  A sequence a is a subarray of a sequence 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.
  
  Can you tell Moamen if there is a way to sort the array in non-decreasing order using the operations written above?
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 10^3) — the number of test cases. The description of the test cases follows.
  
  The first line of each test case contains two integers n and k (1 ≤ k ≤ n ≤ 10^5).
  
  The second line contains n integers a_1, a_2, …, a_n (0 ≤ |a_i| ≤ 10^9). It is guaranteed that all numbers are distinct.
  
  It is guaranteed that the sum of n over all test cases does not exceed 3⋅10^5.
  
  Output
  
  For each test case, you should output a single string.
  
  If Moamen can sort the array in non-decreasing order, output "YES" (without quotes). Otherwise, output "NO" (without quotes).
  
  You can print each letter of "YES" and "NO" in any case (upper or lower).
  
  Example
  
  Input
  
  
  3
  5 4
  6 3 4 2 1
  4 2
  1 -4 0 -2
  5 1
  1 2 3 4 5
  
  
  Output
  
  
  Yes
  No
  Yes
  
  Note
  
  In the first test case, a = [6, 3, 4, 2, 1], and k = 4, so we can do the operations as follows: 
  
    1. Split a into \{ [6], [3, 4], [2], [1] \}. 
    2. Reorder them: \{ [1], [2], [3,4], [6] \}. 
    3. Merge them: [1, 2, 3, 4, 6], so now the array is sorted. 
  
  
  
  In the second test case, there is no way to sort the array by splitting it into only 2 subarrays.
  
  As an example, if we split it into \{ [1, -4], [0, -2] \}, we can reorder them into \{ [1, -4], [0, -2] \} or \{ [0, -2], [1, -4] \}. However, after merging the subarrays, it is impossible to get a sorted array.
solution: import sys
  import math
  import heapq
  import bisect
  from collections import Counter
  from collections import defaultdict
  from io import BytesIO, IOBase
  from itertools import permutations
  import string
  
  
  class FastIO(IOBase):
      newlines = 0
  
      def __init__(self, file):
          import os
          self.os = os
          self._fd = file.fileno()
          self.buffer = BytesIO()
          self.writable = "x" in file.mode or "r" not in file.mode
          self.write = self.buffer.write if self.writable else None
          self.BUFSIZE = 8192
  
      def read(self):
          while True:
              b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE))
              if not b:
                  break
              ptr = self.buffer.tell()
              self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
          self.newlines = 0
          return self.buffer.read()
  
      def readline(self):
          while self.newlines == 0:
              b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, self.BUFSIZE))
              self.newlines = b.count(b"\n") + (not b)
              ptr = self.buffer.tell()
              self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
          self.newlines -= 1
          return self.buffer.readline()
  
      def flush(self):
          if self.writable:
              self.os.write(self._fd, self.buffer.getvalue())
              self.buffer.truncate(0), self.buffer.seek(0)
  
  
  class IOWrapper(IOBase):
      def __init__(self, file):
          self.buffer = FastIO(file)
          self.flush = self.buffer.flush
          self.writable = self.buffer.writable
          self.write = lambda s: self.buffer.write(s.encode("ascii"))
          self.read = lambda: self.buffer.read().decode("ascii")
          self.readline = lambda: self.buffer.readline().decode("ascii")
  
  
  sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
  input = lambda: sys.stdin.readline().rstrip("\r\n")
  
  
  def get_int():
      return int(input())
  
  
  def get_ints():
      return list(map(int, input().split(' ')))
  
  
  def get_int_grid(n):
      return [get_ints() for _ in range(n)]
  
  
  def get_str():
      return input().strip()
  
  
  def get_strs():
      return get_str().split(' ')
  
  
  def flat_list(arr):
      return [item for subarr in arr for item in subarr]
  
  
  def yes_no(b):
      if b:
          return "YES"
      else:
          return "NO"
  
  
  def binary_search(good, left, right, delta=1, right_true=False):
      """
      Performs binary search
      ----------
      Parameters
      ----------
      :param good: Function used to perform the binary search
      :param left: Starting value of left limit
      :param right: Starting value of the right limit
      :param delta: Margin of error, defaults value of 1 for integer binary search
      :param right_true: Boolean, for whether the right limit is the true invariant
      :return: Returns the most extremal value interval [left, right] which is good function evaluates to True,
              alternatively returns False if no such value found
      """
  
      limits = [left, right]
      while limits[1] - limits[0] > delta:
          if delta == 1:
              mid = sum(limits) // 2
          else:
              mid = sum(limits) / 2
          if good(mid):
              limits[int(right_true)] = mid
          else:
              limits[int(~right_true)] = mid
      if good(limits[int(right_true)]):
          return limits[int(right_true)]
      else:
          return False
  
  
  def prefix_sums(a):
      p = [0]
      for x in a:
          p.append(p[-1] + x)
      return p
  
  
  def solve_a():
      n = get_int()
      a = get_ints()
      return max(a) + (sum(a) - max(a)) / (n - 1)
  
  
  def solve_b():
      n, k = get_ints()
      a = get_ints()
  
      a_e = [(x, i) for (i, x) in enumerate(a)]
      a_e.sort()
  
      c = [-float('inf')] +[i for (x, i) in a_e]
      cnt = 0
      for i in range(1, n + 1):
          if c[i] != c[i - 1] + 1:
              cnt += 1
      return yes_no(cnt <= k).title()
  
  
  
  
  
  t = get_int()
  for _ in range(t):
      print(solve_b())
  