import pyutil as pyu
pyu.get_local_pyinfo()

print(pyu.ps2("python-dotenv"))

from typing import List

class Solution:
  def minPatches(self, nums: List[int], n: int) -> int:
    ans = 0
    i = 0     # Point to nums
    miss = 1  # Min sum in [1, n] we might miss

    while miss <= n:
      if i < len(nums) and nums[i] <= miss:
        miss += nums[i]
        i += 1
      else:
        # Greedily add miss itself to increase the range
        # From [1, miss) to [1, 2 * miss)
        miss += miss
        ans += 1

    return ans

new Solution().minPatches()