Web Reference: Jul 13, 2025 · A prefix sum array is another array prefixSum [] of the same size, such that prefixSum [i] is arr [0] + arr [1] + arr [2] . . . arr [i]. Examples: prefixSum [2] = 10 + 20 + 10 = 40 and so on. prefixSum [2] = 30 + 10+ 10 = 50 and so on. Prefix sum is one of the most elegant patterns in algorithmic problem solving. It transforms O (n) range queries into O (1) lookups. It enables O (n) solutions to subarray problems that would otherwise be O (n²). And once you master it, you'll recognize it instantly in dozens of LeetCode problems. Nov 28, 2025 · This guide breaks down the prefix sum technique on LeetCode for beginners: what it is, how to build it, how to use it for different patterns, and how to avoid common pitfalls.
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