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| 1 | +/* |
| 2 | + Problem: https://leetcode.com/problems/construct-binary-tree-from-preorder-and-inorder-traversal/ |
| 3 | + Description: Given two integer arrays preorder and inorder, construct and return the binary tree. |
| 4 | + Concept: Array, Hash Table, Divide and Conquer, Tree, Binary Tree |
| 5 | + Time Complexity: O(NM), Runtime 2ms |
| 6 | + Space Complexity: O(N), Memory 45.02MB |
| 7 | +*/ |
| 8 | +import java.util.HashMap; |
| 9 | +import java.util.Map; |
| 10 | + |
| 11 | +class Solution { |
| 12 | + public TreeNode buildTree(int[] preorder, int[] inorder) { |
| 13 | + boolean isLeft = true; |
| 14 | + Map<Integer, TreeNode> parents = new HashMap<>(); |
| 15 | + TreeNode rootNode = null, parentNode = null; |
| 16 | + |
| 17 | + for (int pidx=0, iidx=0; pidx<preorder.length; pidx++) { |
| 18 | + int pval = preorder[pidx]; |
| 19 | + int ival = inorder[iidx]; |
| 20 | + |
| 21 | + if(pidx==0) { |
| 22 | + rootNode = parentNode = new TreeNode(pval); |
| 23 | + } else if (isLeft) { |
| 24 | + parents.put(pval, parentNode); |
| 25 | + parentNode = parentNode.left = new TreeNode(pval); |
| 26 | + } else { |
| 27 | + isLeft = true; |
| 28 | + parents.put(pval, parentNode); |
| 29 | + parentNode = parentNode.right = new TreeNode(pval); |
| 30 | + } |
| 31 | + |
| 32 | + if(pval==ival) { |
| 33 | + isLeft = false; |
| 34 | + TreeNode targetNode = parentNode; |
| 35 | + while (iidx<inorder.length-1 && parents.get(parentNode.val)!=null) { |
| 36 | + if(parentNode.val == inorder[iidx+1]){ |
| 37 | + iidx++; |
| 38 | + targetNode = parentNode; |
| 39 | + } |
| 40 | + parentNode = parents.get(parentNode.val); |
| 41 | + } |
| 42 | + if(iidx<inorder.length-1 && parentNode.val != inorder[iidx+1]){ |
| 43 | + iidx++; |
| 44 | + parentNode = targetNode; |
| 45 | + } else iidx = iidx+2; |
| 46 | + } |
| 47 | + } |
| 48 | + |
| 49 | + return rootNode; |
| 50 | + } |
| 51 | +} |
| 52 | + |
| 53 | +/** |
| 54 | + * Definition for a binary tree node. |
| 55 | + * public class TreeNode { |
| 56 | + * int val; |
| 57 | + * TreeNode left; |
| 58 | + * TreeNode right; |
| 59 | + * TreeNode() {} |
| 60 | + * TreeNode(int val) { this.val = val; } |
| 61 | + * TreeNode(int val, TreeNode left, TreeNode right) { |
| 62 | + * this.val = val; |
| 63 | + * this.left = left; |
| 64 | + * this.right = right; |
| 65 | + * } |
| 66 | + * } |
| 67 | + */ |
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