Package g1701_1800.s1760_minimum_limit_of_balls_in_a_bag

Class Solution

java.lang.Object
g1701_1800.s1760_minimum_limit_of_balls_in_a_bag.Solution
public class Solution extends java.lang.Object
1760 - Minimum Limit of Balls in a Bag.

Medium

You are given an integer array nums where the ith bag contains nums[i] balls. You are also given an integer maxOperations.

You can perform the following operation at most maxOperations times:

  • Take any bag of balls and divide it into two new bags with a positive number of balls.
    • For example, a bag of 5 balls can become two new bags of 1 and 4 balls, or two new bags of 2 and 3 balls.

Your penalty is the maximum number of balls in a bag. You want to minimize your penalty after the operations.

Return the minimum possible penalty after performing the operations.

Example 1:

Input: nums = [9], maxOperations = 2

Output: 3

Explanation:

  • Divide the bag with 9 balls into two bags of sizes 6 and 3. [9 ] -> [6,3].

  • Divide the bag with 6 balls into two bags of sizes 3 and 3. [6 ,3] -> [3,3,3]. The bag with the most number of balls has 3 balls, so your penalty is 3 and you should return 3.

Example 2:

Input: nums = [2,4,8,2], maxOperations = 4

Output: 2

Explanation:

  • Divide the bag with 8 balls into two bags of sizes 4 and 4. [2,4, 8 ,2] -> [2,4,4,4,2].

  • Divide the bag with 4 balls into two bags of sizes 2 and 2. [2, 4 ,4,4,2] -> [2,2,2,4,4,2].

  • Divide the bag with 4 balls into two bags of sizes 2 and 2. [2,2,2, 4 ,4,2] -> [2,2,2,2,2,4,2].

  • Divide the bag with 4 balls into two bags of sizes 2 and 2. [2,2,2,2,2, 4 ,2] -> [2,2,2,2,2,2,2,2]. The bag with the most number of balls has 2 balls, so your penalty is 2 an you should return 2.

Example 3:

Input: nums = [7,17], maxOperations = 2

Output: 7

Constraints:

  • 1 <= nums.length <= 105
  • 1 <= maxOperations, nums[i] <= 109

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minimumSize(int[] nums, int maxOperations)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • minimumSize

      public int minimumSize(int[] nums, int maxOperations)