本文详细探讨了HDU 1100 Trees Made to Order的解题思路，讲解如何构建满足特定条件的树形结构，并提供了相关的算法实现和实例分析，帮助读者掌握此类问题的解决技巧。
Problem Description
We can number binary trees using the following scheme:
The empty tree is numbered 0.
The single-node tree is numbered 1.
All binary trees having m nodes have numbers less than all those having m+1 nodes.
Any binary tree having m nodes with left and right subtrees L and R is numbered n such that all trees having m nodes numbered > n have either
Left subtrees numbered higher than L, or
A left subtree = L and a right subtree numbered higher than R.
The first 10 binary trees and tree number 20 in this sequence are shown below:
The empty tree is numbered 0.
The single-node tree is numbered 1.
All binary trees having m nodes have numbers less than all those having m+1 nodes.
Any binary tree having m nodes with left and right subtrees L and R is numbered n such that all trees having m nodes numbered > n have either
Left subtrees numbered higher than L, or
A left subtree = L and a right subtree numbered higher than R.
The first 10 binary trees and tree number 20 in this sequence are shown below:
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