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| 1 | +package com.fanlu.leetcode.binarytree; |
| 2 | +// Source : https://leetcode.com/problems/lowest-common-ancestor-of-a-binary-tree/ |
| 3 | +// Id : 236 |
| 4 | +// Author : Fanlu Hai |
| 5 | +// Date : 2018-04-24 |
| 6 | +// Other : lowest common ancestor (LCA): The lowest common ancestor is defined between two nodes p and q |
| 7 | +// as the lowest node in T that has both p and q as descendants |
| 8 | +// (where we allow a node to be a descendant of itself). |
| 9 | +// Tips : |
| 10 | + |
| 11 | +import java.util.LinkedList; |
| 12 | +import java.util.Queue; |
| 13 | + |
| 14 | +/** |
| 15 | + * Definition for a binary tree node. |
| 16 | + * public class TreeNode { |
| 17 | + * int val; |
| 18 | + * TreeNode left; |
| 19 | + * TreeNode right; |
| 20 | + * TreeNode(int x) { val = x; } |
| 21 | + * } |
| 22 | + */ |
| 23 | + |
| 24 | +public class LowestCommonAncestorOfABinaryTree { |
| 25 | + |
| 26 | + private TreeNode ans; |
| 27 | + |
| 28 | + // This answer is copied from leetcode submission analysis sample |
| 29 | + // 100.00% (20% faster than original) 44.21% |
| 30 | + public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) { |
| 31 | + |
| 32 | + this.recurse(root, p, q); |
| 33 | + return this.ans; |
| 34 | + } |
| 35 | + |
| 36 | + private boolean recurse(TreeNode node, TreeNode p, TreeNode q) { |
| 37 | + |
| 38 | + if (node == null) { |
| 39 | + return false; |
| 40 | + } |
| 41 | + |
| 42 | + // rec left |
| 43 | + // it's very hard for me to write below code even though it's nothing hard. |
| 44 | + int left = this.recurse(node.left, p, q) ? 1 : 0; |
| 45 | + int right = this.recurse(node.right, p, q) ? 1 : 0; |
| 46 | + |
| 47 | + int mid = (node == p) || (node == q) ? 1 : 0; |
| 48 | + |
| 49 | + // this is better than comparing objects |
| 50 | + if (mid + left + right >= 2) { |
| 51 | + this.ans = node; |
| 52 | + } |
| 53 | + return (mid + left + right > 0); |
| 54 | + |
| 55 | + } |
| 56 | + |
| 57 | + |
| 58 | + //65.83% 40.60% |
| 59 | + // this is fast enough to my understanding, but there are more elegant and faster ways to do the same steps |
| 60 | + public TreeNode lowestCommonAncestorOriginal(TreeNode root, TreeNode p, TreeNode q) { |
| 61 | + |
| 62 | + if (null == root || root == p || root == q) |
| 63 | + return root; |
| 64 | + TreeNode left = lowestCommonAncestorOriginal(root.left, p, q); |
| 65 | + TreeNode right = lowestCommonAncestorOriginal(root.right, p, q); |
| 66 | + |
| 67 | + if (null != left && null != right) { |
| 68 | + return root; |
| 69 | + } else if (null == right) { |
| 70 | + return left; |
| 71 | + } else { |
| 72 | + // null == left |
| 73 | + return right; |
| 74 | + } |
| 75 | + //return left == null ? right : right == null ? left : root; |
| 76 | + } |
| 77 | + |
| 78 | + /** |
| 79 | + * below are some no very successfull attampts |
| 80 | + */ |
| 81 | + Queue<TreeNode> pNodeList = new LinkedList<>(); |
| 82 | + Queue<TreeNode> qNodeList = new LinkedList<>(); |
| 83 | + |
| 84 | + //! Time Limit Exceeded |
| 85 | + public TreeNode lowestCommonAncestorTooSlow(TreeNode root, TreeNode p, TreeNode q) { |
| 86 | + TreeNode result = root; |
| 87 | + dfsNode(root, p, q, new LinkedList<TreeNode>()); |
| 88 | + while (!pNodeList.isEmpty()) { |
| 89 | + TreeNode tmp = pNodeList.poll(); |
| 90 | +// System.out.println(tmp); |
| 91 | + if (tmp != qNodeList.poll()) { |
| 92 | + break; |
| 93 | + } |
| 94 | + result = tmp; |
| 95 | + } |
| 96 | + return result; |
| 97 | + } |
| 98 | + |
| 99 | + public void dfsNode(TreeNode treeNode, TreeNode p, TreeNode q, Queue<TreeNode> queue) { |
| 100 | + if (null == treeNode) |
| 101 | + return; |
| 102 | + |
| 103 | + Queue<TreeNode> tmpQueue = new LinkedList<>(); |
| 104 | + tmpQueue.addAll(queue); |
| 105 | + |
| 106 | + tmpQueue.add(treeNode); |
| 107 | + if (treeNode.val == p.val) { |
| 108 | + pNodeList = tmpQueue; |
| 109 | + } |
| 110 | + |
| 111 | + if (treeNode.val == q.val) { |
| 112 | + qNodeList = tmpQueue; |
| 113 | + } |
| 114 | + |
| 115 | + dfsNode(treeNode.left, p, q, tmpQueue); |
| 116 | + dfsNode(treeNode.right, p, q, tmpQueue); |
| 117 | + } |
| 118 | + |
| 119 | + |
| 120 | + Queue<Integer> pList = new LinkedList<>(); |
| 121 | + Queue<Integer> qList = new LinkedList<>(); |
| 122 | + |
| 123 | + |
| 124 | + // implemented the int version |
| 125 | + public int lowestCommonAncestorReturnInt(TreeNode root, TreeNode p, TreeNode q) { |
| 126 | + int result = root.val; |
| 127 | + dfsValue(root, p.val, q.val, new LinkedList<Integer>()); |
| 128 | + while (!pList.isEmpty()) { |
| 129 | + int tmp = pList.poll(); |
| 130 | +// System.out.println(tmp); |
| 131 | + if (tmp != qList.poll()) { |
| 132 | + break; |
| 133 | + } |
| 134 | + result = tmp; |
| 135 | + } |
| 136 | + return result; |
| 137 | + } |
| 138 | + |
| 139 | + public void dfsValue(TreeNode treeNode, int p, int q, Queue<Integer> queue) { |
| 140 | + if (null == treeNode) |
| 141 | + return; |
| 142 | + |
| 143 | + Queue<Integer> tmpQueue = new LinkedList<>(); |
| 144 | + tmpQueue.addAll(queue); |
| 145 | + |
| 146 | + tmpQueue.add(treeNode.val); |
| 147 | + if (treeNode.val == p) { |
| 148 | + pList = tmpQueue; |
| 149 | + } |
| 150 | + |
| 151 | + if (treeNode.val == q) { |
| 152 | + qList = tmpQueue; |
| 153 | + } |
| 154 | + |
| 155 | + dfsValue(treeNode.left, p, q, tmpQueue); |
| 156 | + dfsValue(treeNode.right, p, q, tmpQueue); |
| 157 | + } |
| 158 | + |
| 159 | + public static void main(String[] args) { |
| 160 | + TreeNode treeNode1 = new TreeNode(1); |
| 161 | + TreeNode treeNode2 = new TreeNode(2); |
| 162 | + TreeNode treeNode3 = new TreeNode(3); |
| 163 | + TreeNode treeNode4 = new TreeNode(4); |
| 164 | + TreeNode treeNode5 = new TreeNode(5); |
| 165 | + TreeNode treeNode6 = new TreeNode(6); |
| 166 | + TreeNode treeNode7 = new TreeNode(7); |
| 167 | + |
| 168 | + treeNode1.left = treeNode2; |
| 169 | + treeNode2.left = treeNode4; |
| 170 | + treeNode2.right = treeNode5; |
| 171 | + treeNode5.right = treeNode3; |
| 172 | + treeNode3.left = treeNode6; |
| 173 | + treeNode3.right = treeNode7; |
| 174 | + |
| 175 | + LowestCommonAncestorOfABinaryTree lowestCommonAncestorOfABinaryTree = new LowestCommonAncestorOfABinaryTree(); |
| 176 | + lowestCommonAncestorOfABinaryTree.dfsValue(treeNode1, 7, 6, new LinkedList<Integer>()); |
| 177 | + |
| 178 | + for (int i : lowestCommonAncestorOfABinaryTree.pList) { |
| 179 | + System.out.print(i + "*"); |
| 180 | + } |
| 181 | + System.out.println(); |
| 182 | + for (int i : lowestCommonAncestorOfABinaryTree.qList) { |
| 183 | + System.out.print(i + "-"); |
| 184 | + } |
| 185 | + System.out.println(); |
| 186 | + |
| 187 | + System.out.println("result: " + lowestCommonAncestorOfABinaryTree.lowestCommonAncestorReturnInt(treeNode1, treeNode7, treeNode6)); |
| 188 | + } |
| 189 | + |
| 190 | +} |
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