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| 1 | +package leetcode_study |
| 2 | + |
| 3 | +import io.kotest.matchers.shouldBe |
| 4 | +import org.junit.jupiter.api.Test |
| 5 | +import java.lang.RuntimeException |
| 6 | + |
| 7 | +class `merge-k-sorted-lists` { |
| 8 | + |
| 9 | + data class ListNode(var `val`: Int) { |
| 10 | + var next: ListNode? = null |
| 11 | + |
| 12 | + companion object { |
| 13 | + fun of(vararg `val`: Int): ListNode { |
| 14 | + val dummy = ListNode(-1) |
| 15 | + var prev = dummy |
| 16 | + for (v in `val`) { |
| 17 | + prev.next = ListNode(v) |
| 18 | + prev = prev.next ?: throw RuntimeException() |
| 19 | + } |
| 20 | + return dummy.next ?: throw RuntimeException() |
| 21 | + } |
| 22 | + } |
| 23 | + } |
| 24 | + |
| 25 | + fun mergeKLists(lists: Array<ListNode?>): ListNode? { |
| 26 | + return if (lists.isEmpty()) null |
| 27 | + else if (lists.size == 1) lists.first() |
| 28 | + else mergeDivideAndConquer(lists) |
| 29 | + } |
| 30 | + |
| 31 | + /** |
| 32 | + * TC: O(lists.size * ListNode.size), SC: O(1) |
| 33 | + */ |
| 34 | + private fun usingBruteForce(lists: Array<ListNode?>): ListNode? { |
| 35 | + val dummy = ListNode(-1) |
| 36 | + var prev = dummy |
| 37 | + |
| 38 | + while (true) { |
| 39 | + var minNode: ListNode? = null |
| 40 | + var minIndex = -1 |
| 41 | + |
| 42 | + for (index in lists.indices) { |
| 43 | + val curr = lists[index] ?: continue |
| 44 | + if (minNode == null || curr.`val` < minNode.`val`) { |
| 45 | + minNode = curr |
| 46 | + minIndex = index |
| 47 | + } |
| 48 | + } |
| 49 | + prev.next = minNode ?: break |
| 50 | + prev = prev.next ?: throw RuntimeException() |
| 51 | + |
| 52 | + lists[minIndex] = minNode.next |
| 53 | + } |
| 54 | + |
| 55 | + return dummy.next |
| 56 | + } |
| 57 | + |
| 58 | + /** |
| 59 | + * TC: O(lists.size * ListNode.size), SC: O(1) |
| 60 | + */ |
| 61 | + private fun mergeLists(lists: Array<ListNode?>): ListNode? { |
| 62 | + fun merge(node1: ListNode?, node2: ListNode?): ListNode? { |
| 63 | + val dummy = ListNode(-1) |
| 64 | + var prev = dummy |
| 65 | + var (n1, n2) = node1 to node2 |
| 66 | + while (n1 != null && n2 != null) { |
| 67 | + if (n1.`val` < n2.`val`) { |
| 68 | + prev.next = n1 |
| 69 | + n1 = n1.next |
| 70 | + } else { |
| 71 | + prev.next = n2 |
| 72 | + n2 = n2.next |
| 73 | + } |
| 74 | + prev.next?.let { prev = it } |
| 75 | + } |
| 76 | + prev.next = n1 ?: n2 |
| 77 | + return dummy.next |
| 78 | + } |
| 79 | + for (index in 1 until lists.size) { |
| 80 | + lists[0] = merge(lists[0], lists[index]) |
| 81 | + } |
| 82 | + return lists[0] |
| 83 | + } |
| 84 | + |
| 85 | + /** |
| 86 | + * TC: O(lists.size * ListNode.size), SC: O(lists.size) |
| 87 | + */ |
| 88 | + private fun mergeDivideAndConquer(lists: Array<ListNode?>): ListNode? { |
| 89 | + fun merge(node1: ListNode?, node2: ListNode?): ListNode? { |
| 90 | + val dummy = ListNode(-1) |
| 91 | + var prev = dummy |
| 92 | + var (n1, n2) = node1 to node2 |
| 93 | + while (n1 != null && n2 != null) { |
| 94 | + if (n1.`val` < n2.`val`) { |
| 95 | + prev.next = n1 |
| 96 | + n1 = n1.next |
| 97 | + } else { |
| 98 | + prev.next = n2 |
| 99 | + n2 = n2.next |
| 100 | + } |
| 101 | + prev.next?.let { prev = it } |
| 102 | + } |
| 103 | + prev.next = n1 ?: n2 |
| 104 | + return dummy.next |
| 105 | + } |
| 106 | + |
| 107 | + fun divideAndConquer(lists: Array<ListNode?>, s: Int, e: Int): ListNode? { |
| 108 | + if (s > e) return null |
| 109 | + else if (s == e) return lists[s] |
| 110 | + |
| 111 | + val mid = (s + e) / 2 |
| 112 | + val left = divideAndConquer(lists, s, mid) |
| 113 | + val right = divideAndConquer(lists, mid + 1, e) |
| 114 | + return merge(left, right) |
| 115 | + } |
| 116 | + |
| 117 | + return divideAndConquer(lists, 0, lists.size - 1) |
| 118 | + } |
| 119 | + |
| 120 | + @Test |
| 121 | + fun `전달받은 노드들을 정렬하고 병합된 결과를 반환한다`() { |
| 122 | + mergeKLists( |
| 123 | + arrayOf( |
| 124 | + ListNode.of(1,4,5), |
| 125 | + ListNode.of(1,3,4), |
| 126 | + ListNode.of(2,6) |
| 127 | + ) |
| 128 | + ) shouldBe ListNode.of(1,1,2,3,4,4,5,6) |
| 129 | + } |
| 130 | +} |
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