Easy. Beats 100% LeetCode 3392. Count Subarrays of Length Three With a Condition. Java. Python3

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🚀 3392. Count Subarrays of Length Three With a Condition – Sliding Window Explained!
This problem challenges us to count every length-3 subarray where the sum of the first and third elements equals exactly half the middle element, and I solved it using a fixed-size sliding window for maximum efficiency.

🔹 Key Strategy:

✅ Technique: Sliding Window (fixed-size, one-pass pointers)

✅ Optimization: Constant-time check per window, no nested loops

✅ Takeaway: When window size is fixed, direct indexing + sliding pointers gives O(n) simplicity

Time & Space Complexity:
Brute Force: O(n) time, O(1) space
Sliding Window: O(n) time, O(1) space

Story
In the bustling city of Synergy, two apprentices—Jay and Patty—set out to master the art of pattern recognition under the mentorship of a great teacher. Their task echoed one of the 7 Habits of Highly Effective People: “Begin with the End in Mind.” They needed to count every trio of steps in a grand hallway such that the first and third steps add up exactly to half of the middle step’s weight.

Jay trusted Habit 4 (Think Win-Win) and tried every possible trio one by one, ensuring no possibility was missed.
Patty embraced Habit 3 (Put First Things First) and realized since every window always spans three steps, she could slide her focus along the hallway: check the first and third weights, then move her window forward—no backtracking required.
By combining these habits—thoroughness from Jay and efficiency from Patty—they discovered two complementary methods that both achieve the goal.

Like Covey’s framework, our two methods balance thoroughness and efficiency, teaching us that understanding a problem deeply (Habit 5: Seek First to Understand, Then to Be Understood) empowers us to choose the right tool—whether it’s the careful scan of brute force or the streamlined glide of a sliding window. Ultimately, true mastery lies in applying the right habit at the right moment.

Mastering sliding-window index tracking unlocks fast subarray checks every time. Would you slide or sample next time? Yes or No? 🤔

#Algorithms #DataStructures #LeetCode #Programming #Coding #codinginterview #dailycoding #Python #Java
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What other algorithms do you think of?

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