{leetcode}/problems/minimize-maximum-of-array/[LeetCode - 2439. Minimize Maximum of Array ^]
You are given a 0-indexed array nums
comprising of n
non-negative integers.
In one operation, you must:
-
Choose an integer
i
such that1 ⇐ i < n
andnums[i] > 0
. -
Decrease
nums[i]
by 1. -
Increase
nums[i - 1]
by 1.
Return_ the minimum possible value of the maximum integer of `nums` after performing any number of operations_.
Example 1:
Input: nums = [3,7,1,6] Output: 5 Explanation: One set of optimal operations is as follows: 1. Choose i = 1, and nums becomes [4,6,1,6]. 2. Choose i = 3, and nums becomes [4,6,2,5]. 3. Choose i = 1, and nums becomes [5,5,2,5]. The maximum integer of nums is 5. It can be shown that the maximum number cannot be less than 5. Therefore, we return 5.
Example 2:
Input: nums = [10,1] Output: 10 Explanation: It is optimal to leave nums as is, and since 10 is the maximum value, we return 10.
Constraints:
-
n == nums.length
-
2 ⇐ n ⇐ 105
-
0 ⇐ nums[i] ⇐ 109