3824. Minimum K to Reduce Array Within Limit - Practice Online

You are given a positive integer array nums.

For a positive integer k, define nonPositive(nums, k) as the minimum number of operations needed to make every element of nums non-positive. In one operation, you can choose an index i and reduce nums[i] by k.

Return an integer denoting the minimum value of k such that nonPositive(nums, k) <= k².

Example 1:

Input: nums = [3,7,5]

Output: 3

Explanation:

When k = 3, nonPositive(nums, k) = 6 <= k².

Reduce nums[0] = 3 one time. nums[0] becomes 3 - 3 = 0.
Reduce nums[1] = 7 three times. nums[1] becomes 7 - 3 - 3 - 3 = -2.
Reduce nums[2] = 5 two times. nums[2] becomes 5 - 3 - 3 = -1.

Example 2:

Input: nums = [1]

Output: 1

Explanation:

When k = 1, nonPositive(nums, k) = 1 <= k².

Reduce nums[0] = 1 one time. nums[0] becomes 1 - 1 = 0.

Constraints:

1 <= nums.length <= 10⁵
1 <= nums[i] <= 10⁵