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| 1 | +/** |
| 2 | + * 1031. Maximum Sum of Two Non-Overlapping Subarrays |
| 3 | + * https://leetcode.com/problems/maximum-sum-of-two-non-overlapping-subarrays/ |
| 4 | + * Difficulty: Medium |
| 5 | + * |
| 6 | + * Given an integer array nums and two integers firstLen and secondLen, return the maximum sum |
| 7 | + * of elements in two non-overlapping subarrays with lengths firstLen and secondLen. |
| 8 | + * |
| 9 | + * The array with length firstLen could occur before or after the array with length secondLen, |
| 10 | + * but they have to be non-overlapping. |
| 11 | + * |
| 12 | + * A subarray is a contiguous part of an array. |
| 13 | + */ |
| 14 | + |
| 15 | +/** |
| 16 | + * @param {number[]} nums |
| 17 | + * @param {number} firstLen |
| 18 | + * @param {number} secondLen |
| 19 | + * @return {number} |
| 20 | + */ |
| 21 | +var maxSumTwoNoOverlap = function(nums, firstLen, secondLen) { |
| 22 | + const prefixSums = getPrefixSums(nums); |
| 23 | + let maxFirst = 0; |
| 24 | + let maxSecond = 0; |
| 25 | + let result = 0; |
| 26 | + |
| 27 | + for (let i = firstLen; i <= nums.length - secondLen; i++) { |
| 28 | + maxFirst = Math.max(maxFirst, prefixSums[i] - prefixSums[i - firstLen]); |
| 29 | + const secondSum = prefixSums[i + secondLen] - prefixSums[i]; |
| 30 | + result = Math.max(result, maxFirst + secondSum); |
| 31 | + } |
| 32 | + |
| 33 | + for (let i = secondLen; i <= nums.length - firstLen; i++) { |
| 34 | + maxSecond = Math.max(maxSecond, prefixSums[i] - prefixSums[i - secondLen]); |
| 35 | + const firstSum = prefixSums[i + firstLen] - prefixSums[i]; |
| 36 | + result = Math.max(result, maxSecond + firstSum); |
| 37 | + } |
| 38 | + |
| 39 | + return result; |
| 40 | + |
| 41 | + function getPrefixSums(arr) { |
| 42 | + const sums = [0]; |
| 43 | + for (let i = 0; i < arr.length; i++) { |
| 44 | + sums.push(sums[i] + arr[i]); |
| 45 | + } |
| 46 | + return sums; |
| 47 | + } |
| 48 | +}; |
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