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Pattern Recognition Drill

#3

Medium Arrays & Strings

The Problem

Given array a, find the contiguous subarray with the largest sum.

What approach would you use?

Think about it before scrolling down.

Max subarray sum (Kadane's)

Key Signals

Dynamic Programming

Kadane's: dp[i] = max(a[i], dp[i-1]+a[i]). Decide at each element: extend or restart. O(n).

Alt: Divide & Conquer

Split array, solve halves, check cross-boundary max. O(n log n) — correct but slower.

Common Trap

Brute force checking all subarrays is O(n²) or O(n³). The 'extend or restart' insight is key.

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