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: import sys
  
  sys.setrecursionlimit(10**6)
  N, K = map(int, input().split())
  MOD = 10**9 + 7
  
  U = [0]
  V = []
  for x in range(1, int(N**0.5) + 1):
      U.append(x)
      if x < N // x:
          V.append(N // x)
  V.reverse()
  U.extend(V)
  
  L = len(U)
  S = [1] * L
  S[0] = 0
  for k in range(K - 1, -1, -1):
      T = [0] * L
      r = 0
      for i in range(1, L):
          x = U[i - 1]
          y = U[i]
          T[i] = r = ((y - x) * S[L - i] + r) % MOD
      S = T
  print(S[-1])
  
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"}]