output_description: Print the number of sequences, modulo 10^9+7.
  
  * * *
input_description: Input is given from Standard Input in the following format:
  
      
      
      N K
attempt: n, k = map(int, input().split())
  mod = 10**9 + 7
  
  nums = set()
  d = {}
  for i in range(1, 10**6):
      a = n // i
      b = 1 + n // (i + 1)
      d[i] = a
      nums.add(i)
      nums.add(a)
      if i >= b:
          break
      d[b] = i
      nums.add(b)
  
  d = sorted(d.items())
  
  dic_en = {}
  dic_de = {}
  nums = sorted(list(nums))
  cnt = [0] * len(nums)
  done = 0
  for i, num in enumerate(nums):
      dic_en[num] = i
      dic_de[i] = num
      cnt[i] = num - done
      done = num
  
  d = []
  for num in nums:
      d.append((dic_en[num], dic_en[n // num]))
  
  op = cnt[::]
  
  
  def update(op):
      n = len(nums)
      res = [0] * (n + 1)
      for a, b in d:
          res[0] += op[a]
          res[b + 1] -= op[a]
      res[0] %= mod
      for i in range(1, n):
          res[i] += res[i - 1]
          res[i] %= mod
      for i in range(n):
          res[i] *= cnt[i]
          res[i] %= mod
      return res[:-1]
  
  
  for i in range(k - 1):
      op = update(op)
  
  ans = sum(op) % mod
  
  print(ans)
  
problem_description: Statement
  
  Find the number of sequences of length K consisting of positive integers such
  that the product of any two adjacent elements is at most N, modulo 10^9+7.
samples: [{"input": "3 2", "output": "5\n    \n\n(1,1), (1,2), (1,3), (2,1), and (3,1) satisfy the condition.\n\n* * *"}, {"input": "10 3", "output": "147\n    \n\n* * *"}, {"input": "314159265 35", "output": "457397712"}]