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  • [LC] 95. Unique Binary Search Trees II

    Given an integer n, generate all structurally unique BST's (binary search trees) that store values 1 ... n.

    Example:

    Input: 3
    Output:
    [
      [1,null,3,2],
      [3,2,null,1],
      [3,1,null,null,2],
      [2,1,3],
      [1,null,2,null,3]
    ]
    Explanation:
    The above output corresponds to the 5 unique BST's shown below:
    
       1         3     3      2      1
               /     /      /       
         3     2     1      1   3      2
        /     /                        
       2     1         2                 3

    /**
     * Definition for a binary tree node.
     * public class TreeNode {
     *     int val;
     *     TreeNode left;
     *     TreeNode right;
     *     TreeNode(int x) { val = x; }
     * }
     */
    class Solution {
        public List<TreeNode> generateTrees(int n) {
            if (n == 0) {
                return new ArrayList<>();
            }
            return genList(1, n);
        }
        
        private List<TreeNode> genList(int start, int end) {
            List<TreeNode> list = new ArrayList<>();
            if (start > end) {
                list.add(null);
            }
            for (int i = start; i <= end; i++) {
                List<TreeNode> leftNodes = genList(start, i - 1);
                List<TreeNode> rightNodes = genList(i + 1, end);
                for (TreeNode leftNode: leftNodes) {
                    for(TreeNode rightNode: rightNodes) {
                        TreeNode curNode = new TreeNode(i);
                        curNode.left = leftNode;
                        curNode.right = rightNode;
                        list.add(curNode);
                    }
                }
            }
            return list;
        }
    }
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  • 原文地址:https://www.cnblogs.com/xuanlu/p/12165704.html
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