Package g2301_2400.s2358_maximum_number_of_groups_entering_a_competition

Class Solution

java.lang.Object

g2301_2400.s2358_maximum_number_of_groups_entering_a_competition.Solution

public class Solution
extends java.lang.Object

2358 - Maximum Number of Groups Entering a Competition.

Medium

You are given a positive integer array grades which represents the grades of students in a university. You would like to enter all these students into a competition in ordered non-empty groups, such that the ordering meets the following conditions:

• The sum of the grades of students in the ith group is less than the sum of the grades of students in the (i + 1)th group, for all groups (except the last).
• The total number of students in the ith group is less than the total number of students in the (i + 1)th group, for all groups (except the last).

Return the maximum number of groups that can be formed.

Example 1:

Input: grades = [10,6,12,7,3,5]

Output: 3

Explanation: The following is a possible way to form 3 groups of students:

• 1^st group has the students with grades = [12]. Sum of grades: 12. Student count: 1

• 2^nd group has the students with grades = [6,7]. Sum of grades: 6 + 7 = 13. Student count: 2

• 3^rd group has the students with grades = [10,3,5]. Sum of grades: 10 + 3 + 5 = 18. Student count: 3

It can be shown that it is not possible to form more than 3 groups.

Example 2:

Input: grades = [8,8]

Output: 1

Explanation: We can only form 1 group, since forming 2 groups would lead to an equal number of students in both groups.

Constraints:

• 1 <= grades.length <= 105
• 1 <= grades[i] <= 105

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	maximumGroups(int[] grades)

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

maximumGroups

public int maximumGroups(int[] grades)