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| 1 | +/** |
| 2 | + * 1712. Ways to Split Array Into Three Subarrays |
| 3 | + * https://leetcode.com/problems/ways-to-split-array-into-three-subarrays/ |
| 4 | + * Difficulty: Medium |
| 5 | + * |
| 6 | + * A split of an integer array is good if: |
| 7 | + * - The array is split into three non-empty contiguous subarrays - named left, mid, right |
| 8 | + * respectively from left to right. |
| 9 | + * - The sum of the elements in left is less than or equal to the sum of the elements in mid, |
| 10 | + * and the sum of the elements in mid is less than or equal to the sum of the elements in right. |
| 11 | + * |
| 12 | + * Given nums, an array of non-negative integers, return the number of good ways to split nums. |
| 13 | + * As the number may be too large, return it modulo 109 + 7. |
| 14 | + */ |
| 15 | + |
| 16 | +/** |
| 17 | + * @param {number[]} nums |
| 18 | + * @return {number} |
| 19 | + */ |
| 20 | +var waysToSplit = function(nums) { |
| 21 | + const MOD = 1e9 + 7; |
| 22 | + const n = nums.length; |
| 23 | + const prefixSum = new Array(n).fill(0); |
| 24 | + |
| 25 | + prefixSum[0] = nums[0]; |
| 26 | + for (let i = 1; i < n; i++) { |
| 27 | + prefixSum[i] = prefixSum[i - 1] + nums[i]; |
| 28 | + } |
| 29 | + |
| 30 | + let splitCount = 0; |
| 31 | + for (let i = 0; i < n - 2; i++) { |
| 32 | + let left = i + 1; |
| 33 | + let right = n - 2; |
| 34 | + let validStart = -1; |
| 35 | + let validEnd = -1; |
| 36 | + |
| 37 | + while (left <= right) { |
| 38 | + const mid = Math.floor((left + right) / 2); |
| 39 | + const leftSum = prefixSum[i]; |
| 40 | + const midSum = prefixSum[mid] - prefixSum[i]; |
| 41 | + const rightSum = prefixSum[n - 1] - prefixSum[mid]; |
| 42 | + |
| 43 | + if (leftSum <= midSum && midSum <= rightSum) { |
| 44 | + validStart = mid; |
| 45 | + right = mid - 1; |
| 46 | + } else if (leftSum > midSum) { |
| 47 | + left = mid + 1; |
| 48 | + } else { |
| 49 | + right = mid - 1; |
| 50 | + } |
| 51 | + } |
| 52 | + |
| 53 | + left = validStart === -1 ? n - 1 : validStart; |
| 54 | + right = n - 2; |
| 55 | + |
| 56 | + while (left <= right) { |
| 57 | + const mid = Math.floor((left + right) / 2); |
| 58 | + const leftSum = prefixSum[i]; |
| 59 | + const midSum = prefixSum[mid] - prefixSum[i]; |
| 60 | + const rightSum = prefixSum[n - 1] - prefixSum[mid]; |
| 61 | + |
| 62 | + if (leftSum <= midSum && midSum <= rightSum) { |
| 63 | + validEnd = mid; |
| 64 | + left = mid + 1; |
| 65 | + } else { |
| 66 | + right = mid - 1; |
| 67 | + } |
| 68 | + } |
| 69 | + |
| 70 | + if (validStart !== -1 && validEnd !== -1 && validStart <= validEnd) { |
| 71 | + splitCount = (splitCount + validEnd - validStart + 1) % MOD; |
| 72 | + } |
| 73 | + } |
| 74 | + |
| 75 | + return splitCount; |
| 76 | +}; |
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