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
  num = int(n ** (0.5))
  dp = [[0] * (num * 2 + 1) for i in range(k + 1)]
  
  ruiseki = [i for i in range(num + 1)]
  ruiseki2 = [num - i for i in range(num + 1)]
  for i in range(k):
      for j in range(num):
          dp[i + 1][j] = ruiseki[num] + ruiseki2[num - j]
      for j in range(num):
          dp[i + 1][j + num] = ruiseki[num - j]
          dp[i][j] %= MOD
  
      ruiseki = [0] * (num + 1)
      for j in range(num):
          ruiseki[j + 1] = ruiseki[j] + dp[i + 1][j]
          ruiseki[j + 1] %= MOD
  
      ruiseki2 = [0] * (num + 1)
      for j in range(num):
          ruiseki2[j + 1] = ruiseki2[j] + dp[i + 1][j + num]
          ruiseki2[j + 1] %= MOD
  
  print((sum(dp[k - 1]) * 2 + k) % MOD)
  
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"}]