LeetCode-in-Java

2439. Minimize Maximum of Array

Medium

You are given a 0-indexed array nums comprising of n non-negative integers.

In one operation, you must:

• Choose an integer i such that 1 <= i < n and nums[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

Solution

public class Solution {
    public int minimizeArrayValue(int[] nums) {
        long max = 0;
        long sum = 0;
        for (int i = 0; i < nums.length; i++) {
            sum += nums[i];
            max = Math.max(max, (sum + i) / (i + 1));
        }
        return (int) max;
    }
}

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