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| 1 | +/** |
| 2 | + * 632. Smallest Range Covering Elements from K Lists |
| 3 | + * https://leetcode.com/problems/smallest-range-covering-elements-from-k-lists/ |
| 4 | + * Difficulty: Hard |
| 5 | + * |
| 6 | + * You have k lists of sorted integers in non-decreasing order. Find the smallest range that |
| 7 | + * includes at least one number from each of the k lists. |
| 8 | + * |
| 9 | + * We define the range [a, b] is smaller than range [c, d] if b - a < d - c or a < c |
| 10 | + * if b - a == d - c. |
| 11 | + */ |
| 12 | + |
| 13 | +/** |
| 14 | + * @param {number[][]} nums |
| 15 | + * @return {number[]} |
| 16 | + */ |
| 17 | +var smallestRange = function(nums) { |
| 18 | + const k = nums.length; |
| 19 | + const listCountMap = new Map(); |
| 20 | + let coveredLists = 0; |
| 21 | + let minDiff = Infinity; |
| 22 | + let minStart; |
| 23 | + let minEnd; |
| 24 | + |
| 25 | + const allElements = nums.flatMap((list, listIndex) => |
| 26 | + list.map(num => ({ num, index: listIndex })) |
| 27 | + ).sort((a, b) => a.num - b.num); |
| 28 | + |
| 29 | + let windowStart = 0; |
| 30 | + for (let windowEnd = 0; windowEnd < allElements.length; windowEnd++) { |
| 31 | + const currentElement = allElements[windowEnd]; |
| 32 | + const listIndex = currentElement.index; |
| 33 | + const count = listCountMap.get(listIndex) ?? 0; |
| 34 | + |
| 35 | + if (count === 0) coveredLists += 1; |
| 36 | + listCountMap.set(listIndex, count + 1); |
| 37 | + |
| 38 | + while (coveredLists === k) { |
| 39 | + const leftElement = allElements[windowStart]; |
| 40 | + const range = currentElement.num - leftElement.num; |
| 41 | + |
| 42 | + if (range < minDiff) { |
| 43 | + minDiff = range; |
| 44 | + minStart = leftElement.num; |
| 45 | + minEnd = currentElement.num; |
| 46 | + } |
| 47 | + const leftListIndex = leftElement.index; |
| 48 | + const leftCount = listCountMap.get(leftListIndex); |
| 49 | + listCountMap.set(leftListIndex, leftCount - 1); |
| 50 | + if (leftCount - 1 === 0) coveredLists -= 1; |
| 51 | + windowStart += 1; |
| 52 | + } |
| 53 | + } |
| 54 | + |
| 55 | + return [minStart, minEnd]; |
| 56 | +}; |
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