1785. Minimum Elements to Add to Form a Given Sum

https://leetcode.com/problems/minimum-elements-to-add-to-form-a-given-sum

Description

You are given an integer array nums and two integers limit and goal. The array nums has an interesting property that abs(nums[i]) <= limit.

Return the minimum number of elements you need to add to make the sum of the array equal to goal. The array must maintain its property that abs(nums[i]) <= limit.

Note that abs(x) equals x if x >= 0, and -x otherwise.

Example 1:

**Input:** nums = [1,-1,1], limit = 3, goal = -4
**Output:** 2
**Explanation:** You can add -2 and -3, then the sum of the array will be 1 - 1 + 1 - 2 - 3 = -4.

Example 2:

**Input:** nums = [1,-10,9,1], limit = 100, goal = 0
**Output:** 1

Constraints:

• 1 <= nums.length <= 105

• 1 <= limit <= 106

• -limit <= nums[i] <= limit

• -109 <= goal <= 109

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