
Number of Valid Subarrays (hard)
Problem Statement
Given an integer array nums, return the total count of non-empty subarrays within nums where each subarray must have its first element as the smallest among all its elements.
A subarray is a Contiguous part of an array.
Examples
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Example 1:
- Input:
nums = [4, 3, 1] - Expected Output:
3 - Justification: The valid subarrays are
[4],[3], and[1]. Each subarray consists of a single element, satisfying the condition since there's no smaller element than the first.
- Input:
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Example 2:
- Input:
nums = [1, 3, 2, 4, 1] - Expected Output:
10 - Justification: The valid subarrays are
[1],[1, 3],[1, 3, 2],[1, 3, 2, 4],[1, 3, 2, 4, 1],[3],[2],[2, 4],[4], and[1].
- Input:
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Example 3:
- Input:
nums = [3, 3, 3] - Expected Output:
6 - Justification: The valid subarrays are
[3],[3],[3],[3, 3],[3, 3], and[3, 3, 3]. Since all elements are equal, all subarrays starting with any element satisfy the condition.
- Input:
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Python3
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