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| 1 | +package leetcode_study |
| 2 | + |
| 3 | +import io.kotest.matchers.equals.shouldBeEqual |
| 4 | +import org.junit.jupiter.api.Test |
| 5 | +import java.util.PriorityQueue |
| 6 | + |
| 7 | +class `kth-smallest-element-in-a-bst` { |
| 8 | + |
| 9 | + fun kthSmallest(root: TreeNode?, k: Int): Int { |
| 10 | + return inorderTraversal(root, k) |
| 11 | + } |
| 12 | + |
| 13 | + // 1. ์ฌ๊ท ํธ์ถ๋ก ๋ชจ๋ ํธ๋ฆฌ๋ฅผ ์กฐํ ํ ์ ๋ ฌ |
| 14 | + // ์๊ฐ๋ณต์ก๋: O(n * log(n)), ๊ณต๊ฐ๋ณต์ก๋: O(n) |
| 15 | + private fun recursionAndSort(root: TreeNode?, k: Int) = mutableSetOf<Int>().apply { |
| 16 | + dfs(root, this) |
| 17 | + }.sorted()[k - 1] |
| 18 | + |
| 19 | + private fun dfs(node: TreeNode?, set: MutableSet<Int>) { |
| 20 | + if (node == null) return |
| 21 | + |
| 22 | + set.add(node.`val`) |
| 23 | + dfs(node.left, set) |
| 24 | + dfs(node.right, set) |
| 25 | + } |
| 26 | + |
| 27 | + // 2. ์ฌ๊ท ํธ์ถ๋ก ๋ชจ๋ ํธ๋ฆฌ์ ๊ฐ์ ์ฐ์ ์์ ํ์ ์ฝ์
ํ๊ณ ์์ ๊ฐ์ผ๋ก ๊ณ์ ํ๋ฅผ ๊ฐฑ์ |
| 28 | + // ์๊ฐ๋ณต์ก๋: O(n * log(k)), ๊ณต๊ฐ๋ณต์ก๋: O(n + k) |
| 29 | + // ํธ๋ฆฌ ์ํ : O(n), ์ฐ์ ์์ ํ ์ฝ์
: O(log k) |
| 30 | + private fun usingPriorityQueue(node: TreeNode?, k: Int): Int { |
| 31 | + fun dfs(node: TreeNode, k: Int, pq: PriorityQueue<Int>) { |
| 32 | + pq.offer(node.`val`) |
| 33 | + |
| 34 | + if (pq.size > k) { |
| 35 | + pq.poll() |
| 36 | + } |
| 37 | + if (node.left != null) { |
| 38 | + dfs(node.left!!, k, pq) |
| 39 | + } |
| 40 | + if (node.right != null) { |
| 41 | + dfs(node.right!!, k, pq) |
| 42 | + } |
| 43 | + } |
| 44 | + |
| 45 | + val pq = PriorityQueue { v1: Int, v2: Int -> v2 - v1 } |
| 46 | + dfs(node!!, k, pq) |
| 47 | + return pq.first() |
| 48 | + } |
| 49 | + |
| 50 | + // 3. ๋ฌธ์ ์ ์ ์ ๊ฐ ์ด์งํ์ํธ๋ฆฌ์ด๊ธฐ์, ์ค์์ํ๋ก ํ์ํ์ฌ ๊ฐ์ ๋์ ํ๋ฉด ์ค๋ฆ์ฐจ์์ ๊ฐ์ด ๋๋ค. |
| 51 | + // ์๊ฐ๋ณต์ก๋: O(n), ๊ณต๊ฐ๋ณต์ก๋: O(n) |
| 52 | + private fun inorderTraversal(node: TreeNode?, k: Int): Int { |
| 53 | + fun dfs(node: TreeNode, k: Int, list: MutableList<Int>) { |
| 54 | + if (node.left != null) { |
| 55 | + dfs(node.left!!, k, list) |
| 56 | + } |
| 57 | + list.add(node.`val`) |
| 58 | + if (node.right != null) { |
| 59 | + dfs(node.right!!, k, list) |
| 60 | + } |
| 61 | + } |
| 62 | + |
| 63 | + return mutableListOf<Int>().apply { |
| 64 | + dfs(node!!, k, this) |
| 65 | + }[k - 1] |
| 66 | + } |
| 67 | + |
| 68 | + @Test |
| 69 | + fun `๋ฃจํธ์ ์ ์ k๊ฐ ์ฃผ์ด์ง๋ฉด ํธ๋ฆฌ์ ์๋ ๋ชจ๋ ๋
ธ๋์ ๊ฐ ์ค ๊ฐ์ฅ ์์ ๊ฐ์ ๋ฐํํ๋ค`() { |
| 70 | + kthSmallest(TreeNode.of(listOf(0, 3,1,4,null,2)), 1) shouldBeEqual 1 |
| 71 | + kthSmallest(TreeNode.of(listOf(0, 5,3,6,2,4,null,null,1)), 3) shouldBeEqual 3 |
| 72 | + } |
| 73 | +} |
| 74 | + |
| 75 | +class TreeNode(var `val`: Int) { |
| 76 | + var left: TreeNode? = null |
| 77 | + var right: TreeNode? = null |
| 78 | + |
| 79 | + companion object { |
| 80 | + fun of(numbers: List<Int?>): TreeNode? { |
| 81 | + fun setChild(node: TreeNode?, nums: List<Int?>, index: Int): TreeNode? { |
| 82 | + if (node == null) return null |
| 83 | + val (leftIndex, rightIndex) = index * 2 to index * 2 + 1 |
| 84 | + |
| 85 | + if (leftIndex < nums.size && nums[leftIndex] != null) { |
| 86 | + node.left = TreeNode(nums[leftIndex]!!) |
| 87 | + setChild(node.left, nums, leftIndex) |
| 88 | + } |
| 89 | + if (rightIndex < nums.size && nums[rightIndex] != null) { |
| 90 | + node.right = TreeNode(nums[rightIndex]!!) |
| 91 | + setChild(node.right, nums, rightIndex) |
| 92 | + } |
| 93 | + return node |
| 94 | + } |
| 95 | + return setChild(TreeNode(numbers[1]!!), numbers, 1) |
| 96 | + } |
| 97 | + } |
| 98 | +} |
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