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105. Construct Binary Tree from Preorder and Inorder Traversal

Given preorder and inorder traversal of a tree, construct the binary tree.

Note:

You may assume that duplicates do not exist in the tree.

For example, given

preorder = [3,9,20,15,7]
inorder = [9,3,15,20,7]

Return the following binary tree:

    3
   / \
  9  20
    /  \
   15   7

思路分析

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  • 一刷

  • 二刷

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/**
 * 自我实现,感觉比 https://leetcode.com/problems/construct-binary-tree-from-preorder-and-inorder-traversal/discuss/34538/My-Accepted-Java-Solution[My Accepted Java Solution - LeetCode Discuss] 简单。
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-06-25 11:27
 */
public TreeNode buildTree(int[] preorder, int[] inorder) {
  if (preorder == null || inorder == null || preorder.length != inorder.length) {
    return null;
  }
  return buildTree(preorder, inorder, 0, 0, preorder.length);
}

private TreeNode buildTree(int[] preorder, int[] inorder, int pre, int in, int size) {
  int val = preorder[pre];
  TreeNode root = new TreeNode(val);
  int leftSize = 0;
  int i = in;
  for (; i < size + in; i++) {
    if (inorder[i] == val) {
      break;
    }
    leftSize++;
  }
  if (leftSize > 0) {
    root.left = buildTree(preorder, inorder, pre + 1, in, leftSize);
  }
  int rightSize = size - leftSize - 1;
  if (rightSize > 0) {
    root.right = buildTree(preorder, inorder, pre + leftSize + 1, i + 1, rightSize);
  }
  return root;
}
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/**
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-06-25 11:27
 */
public TreeNode buildTree(int[] preorder, int[] inorder) {
  return buildTree(preorder, inorder, 0, 0, preorder.length);
}

private TreeNode buildTree(int[] preorder, int[] inorder, int pre, int in, int length) {
  if (length <= 0) {
    return null;
  }
  int val = preorder[pre];
  TreeNode root = new TreeNode(val);
  int inIdx = in;
  while (inIdx < in + length) {
    if (inorder[inIdx] == val) {
      break;
    }
    inIdx++;
  }
  root.left = buildTree(preorder, inorder, pre + 1, in, inIdx - in);
  root.right = buildTree(preorder, inorder, pre + 1 + (inIdx - in), inIdx + 1, length - 1 - (inIdx - in));
  return root;
}

思考题

迭代构建如何实现? 参考: 105. 从前序与中序遍历序列构造二叉树