Package g2501_2600.s2518_number_of_great_partitions

Class Solution

java.lang.Object

g2501_2600.s2518_number_of_great_partitions.Solution

public class Solution
extends Object

2518 - Number of Great Partitions.

Hard

You are given an array nums consisting of positive integers and an integer k.

Partition the array into two ordered groups such that each element is in exactly one group. A partition is called great if the sum of elements of each group is greater than or equal to k.

Return the number of distinct great partitions. Since the answer may be too large, return it modulo 109 + 7.

Two partitions are considered distinct if some element nums[i] is in different groups in the two partitions.

Example 1:

Input: nums = [1,2,3,4], k = 4

Output: 6

Explanation: The great partitions are: ([1,2,3], [4]), ([1,3], [2,4]), ([1,4], [2,3]), ([2,3], [1,4]), ([2,4], [1,3]) and ([4], [1,2,3]).

Example 2:

Input: nums = [3,3,3], k = 4

Output: 0

Explanation: There are no great partitions for this array.

Example 3:

Input: nums = [6,6], k = 2

Output: 2

Explanation: We can either put nums[0] in the first partition or in the second partition. The great partitions will be ([6], [6]) and ([6], [6]).

Constraints:

• 1 <= nums.length, k <= 1000
• 1 <= nums[i] <= 109

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	countPartitions(int[] nums, int k)

Methods inherited from class java.lang.Object

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

Constructor Detail

Solution

public Solution()

Method Detail

countPartitions

public int countPartitions(int[] nums,
                           int k)