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| 1 | +/** |
| 2 | + * [Problem]: [23] Merge k Sorted Lists |
| 3 | + * (https://leetcode.com/problems/merge-k-sorted-lists/description/) |
| 4 | + */ |
| 5 | + |
| 6 | +class ListNode { |
| 7 | + val: number; |
| 8 | + next: ListNode | null; |
| 9 | + constructor(val?: number, next?: ListNode | null) { |
| 10 | + this.val = val === undefined ? 0 : val; |
| 11 | + this.next = next === undefined ? null : next; |
| 12 | + } |
| 13 | +} |
| 14 | + |
| 15 | +function mergeKLists(lists: Array<ListNode | null>): ListNode | null { |
| 16 | + //시간복잡도: O(n log n) |
| 17 | + //공간복잡도: O(n) |
| 18 | + function bruteForceFunc(lists: Array<ListNode | null>): ListNode | null { |
| 19 | + const arr: number[] = []; |
| 20 | + let dummy = new ListNode(0); |
| 21 | + let current = dummy; |
| 22 | + |
| 23 | + if (!lists.length) return null; |
| 24 | + |
| 25 | + for (let i = 0; i < lists.length; i++) { |
| 26 | + let currentNode = lists[i]; |
| 27 | + while (currentNode) { |
| 28 | + arr.push(currentNode.val); |
| 29 | + currentNode = currentNode.next; |
| 30 | + } |
| 31 | + } |
| 32 | + |
| 33 | + arr.sort((a, b) => a - b); |
| 34 | + |
| 35 | + for (let j = 0; j < arr.length; j++) { |
| 36 | + current.next = new ListNode(arr[j]); |
| 37 | + current = current.next; |
| 38 | + } |
| 39 | + |
| 40 | + return dummy.next; |
| 41 | + } |
| 42 | + |
| 43 | + //시간복잡도: O(nk) |
| 44 | + //공간복잡도: O(n) |
| 45 | + function mergeFunc(lists: Array<ListNode | null>): ListNode | null { |
| 46 | + let dummy = new ListNode(0); |
| 47 | + let cur = dummy; |
| 48 | + |
| 49 | + while (lists.some((node) => node !== null)) { |
| 50 | + let minVal = Infinity; |
| 51 | + let minIdx = -1; |
| 52 | + |
| 53 | + for (let i = 0; i < lists.length; i++) { |
| 54 | + if (lists[i] && lists[i]!.val < minVal) { |
| 55 | + minVal = lists[i]!.val; |
| 56 | + minIdx = i; |
| 57 | + } |
| 58 | + } |
| 59 | + |
| 60 | + if (minIdx !== -1) { |
| 61 | + cur.next = new ListNode(minVal); |
| 62 | + cur = cur.next; |
| 63 | + lists[minIdx] = lists[minIdx]!.next; |
| 64 | + } |
| 65 | + } |
| 66 | + |
| 67 | + return dummy.next; |
| 68 | + } |
| 69 | + //시간복잡도: O(n log k) |
| 70 | + //공간복잡도: O(log k) |
| 71 | + function divideAndConqureFunc(lists: Array<ListNode | null>): ListNode | null { |
| 72 | + if (!lists.length) return null; |
| 73 | + if (lists.length === 1) return lists[0]; |
| 74 | + |
| 75 | + const mid = Math.floor(lists.length / 2); |
| 76 | + const left = divideAndConqureFunc(lists.slice(0, mid)); |
| 77 | + const right = divideAndConqureFunc(lists.slice(mid)); |
| 78 | + |
| 79 | + function mergeTwoLists(list1: ListNode | null, list2: ListNode | null): ListNode | null { |
| 80 | + const dummy = new ListNode(-1); |
| 81 | + let cur = dummy; |
| 82 | + |
| 83 | + while (list1 && list2) { |
| 84 | + if (list1.val < list2.val) { |
| 85 | + cur.next = list1; |
| 86 | + list1 = list1.next; |
| 87 | + } else { |
| 88 | + cur.next = list2; |
| 89 | + list2 = list2.next; |
| 90 | + } |
| 91 | + |
| 92 | + cur = cur.next; |
| 93 | + } |
| 94 | + |
| 95 | + cur.next = list1 ?? list2; |
| 96 | + return dummy.next; |
| 97 | + } |
| 98 | + |
| 99 | + return mergeTwoLists(left, right); |
| 100 | + } |
| 101 | +} |
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