2338. Count the Number of Ideal Arrays | Leetcode Daily - Python

Dive into LeetCode 2338: Count the Number of Ideal Arrays! This challenging problem asks us to count arrays of length n where each element is between 1 and maxValue, and every element divides the next. We'll break down the problem, starting with examples and exploring why a simple approach is too slow.

Discover the elegant mathematical solution involving prime factorizations, non-decreasing exponent sequences, and the Stars and Bars combinatorics technique using combinations C(k + n - 1, n - 1). Learn how to leverage the multiplicative property of the count function and implement an efficient sieve-based algorithm to calculate the total count modulo 10^9 + 7. This video provides a clear explanation, a detailed Python code walkthrough (including precomputation, SPF sieve, and the core logic), and discusses time/space complexity.

Perfect for coding interview preparation and improving problem-solving skills.

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