Package g3101_3200.s3113_find_the_number_of_subarrays_where_boundary_elements_are_maximum

Class Solution

  • All Implemented Interfaces:
    
public final class Solution

    3113 - Find the Number of Subarrays Where Boundary Elements Are Maximum.

    Hard

    You are given an array of positive integers nums.

    Return the number of subarrays of nums, where the first and the last elements of the subarray are equal to the largest element in the subarray.

    Example 1:

    Input: nums = 1,4,3,3,2

    Output: 6

    Explanation:

    There are 6 subarrays which have the first and the last elements equal to the largest element of the subarray:

    • subarray <code>**<ins>1</ins>** ,4,3,3,2</code>, with its largest element 1. The first element is 1 and the last element is also 1.

    • subarray <code>1,<ins> **4** </ins>,3,3,2</code>, with its largest element 4. The first element is 4 and the last element is also 4.

    • subarray <code>1,4,<ins> **3** </ins>,3,2</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>1,4,3,<ins> **3** </ins>,2</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>1,4,3,3,<ins> **2** </ins></code>, with its largest element 2. The first element is 2 and the last element is also 2.

    • subarray <code>1,4,<ins> **3,3** </ins>,2</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    Hence, we return 6.

    Example 2:

    Input: nums = 3,3,3

    Output: 6

    Explanation:

    There are 6 subarrays which have the first and the last elements equal to the largest element of the subarray:

    • subarray <code><ins> **3** </ins>,3,3</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>3, **<ins>3</ins>** ,3</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>3,3,<ins> **3** </ins></code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>**<ins>3,3</ins>** ,3</code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code>3,<ins> **3,3** </ins></code>, with its largest element 3. The first element is 3 and the last element is also 3.

    • subarray <code><ins> **3,3,3** </ins></code>, with its largest element 3. The first element is 3 and the last element is also 3.

    Hence, we return 6.

    Example 3:

    Input: nums = 1

    Output: 1

    Explanation:

    There is a single subarray of nums which is <code>**<ins>1</ins>** </code>, with its largest element 1. The first element is 1 and the last element is also 1.

    Hence, we return 1.

    Constraints:

    • <code>1 <= nums.length <= 10<sup>5</sup></code>

    • <code>1 <= numsi<= 10<sup>9</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final Long numberOfSubarrays(IntArray nums)

      • Methods inherited from class java.lang.Object

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