30-Day Coding Sprint: Subarrays with K Different Integers

Day 26 of 30-day Coding Sprint 992. Subarrays with K Different Integers - The Problem: Count every single contiguous subarray that contains exactly k different integers. - The Challenge: A standard sliding window is "greedy"; it finds the largest or smallest window that fits a condition. But here, multiple windows of different sizes ending at the same index r could all have exactly k integers. Approach 1: Brute Force - Generating all subarrays and checking unique counts using a HashMap. - Complexity: O(n^2). This will TLE (Time Limit Exceeded) on any competitive platform with a large input. Approach 2: The "Exactly K" via "At Most K" Logic (Optimal) - The Strategy: Just like we did with binary sums on Day 21, we use the formula: Exactly(K) = AtMost(K) - AtMost(K-1) - The Helper: helper(nums, k) counts how many subarrays have at most $k$ distinct elements. - Why it works: Finding "at most" is easy with a sliding window: if map.size > k, we shrink from the left. The number of subarrays ending at r that satisfy "at most k" is simply (r - l + 1). - Complexity: O(n) time and O(k) space. #30DaysOfCode #DSASprint #LeetCode #JavaScript #SlidingWindow #HardProblem #Algorithms #Consistency

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