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实验目的:熟悉二叉搜索树以及常见的平衡树数据结构,对不同树搜索过程的时间复杂度有直观认识。

实验题目:平衡树搜索性能比较

(1) 给定一个包含n个元素的实数数组,请构建一颗二叉搜索树,并实现节点的插入、删除和搜索过程;

(2) 给定一个包含n个元素 的实数数组,请构建一颗AVL树,并实现节点的插入、删除和搜索过程;

(3) 给定一个包含n个元素 的实数数组,请构建一颗红黑树,并实现节点的插入、删除和搜索过程;

(4) 给定一个包含n个元素 的实数数组,请构建一颗5阶-B树,并实现节点的插入、删除和搜索过程;

(5) 给定一个包含n个元素 的实数数组,请构建一颗5阶-B+树,并实现节点的插入、删除和搜索过程;

(6) 随机生成一个包含n个元素的实数数组,请比较在二叉搜索树、AVL树、红黑树、5阶-B树、5阶-B+树上进行相同节点插入、删除和搜索三个过程时间复杂度。

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