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Grokking the Coding Interview Patterns

Solution: Number of Valid Subarrays

Explore how to count subarrays starting with the smallest element efficiently by implementing a monotonic increasing stack. Understand stack operations and amortized analysis to solve contiguous subarray counting problems in linear time and space.

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Statement

Given an integer array nums, count how many non-empty contiguous subarrays exist where the first element of each subarray is less than or equal to every other element within that subarray.

Note: A subarray is defined as a contiguous portion of an array.

Constraints:

  • 1≤1 \leq nums.length ≤1000\leq 1000 ...