1785. Minimum Elements to Add to Form a Given Sum

1785. Minimum Elements to Add to Form a Given Sum (Medium)

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

Related Topics:
Greedy

Solution 1.

// OJ: https://leetcode.com/problems/minimum-elements-to-add-to-form-a-given-sum/
// Author: github.com/lzl124631x
// Time: O(N)
// Space: O(1)
class Solution {
public:
    int minElements(vector<int>& A, int limit, int goal) {
        long sum = abs(goal - accumulate(begin(A), end(A), 0L));
        return (sum + limit - 1) / limit;
    }
};