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Apply Operations to Make Sum of Array Greater Than or Equal to k

You are given a positive integer k.

You are given a positive integer k. Initially, you have an array nums = [1].

You can perform any of the following operations on the array any number of times (possibly zero):

Return the minimum number of operations required to make the sum of elements of the final array greater than or equal to k.

Example 1

Input: k = 11

Output: 5

Explanation: We can do the following operations on the array nums = [1] : The sum of the final array is 4 + 4 + 4 = 12 which is greater than or equal to k = 11 . The total number of operations performed is 3 + 2 = 5 .

Example 2

Input: k = 1

Output: 0

Explanation: The sum of the original array is already greater than or equal to 1 , so no operations are needed.

Constraints

  • 1 <= k <= 10^5

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