ITA 15.5 Optimal binary search trees】的更多相关文章

p400 页最后一段 When j >= i , we need to select a root kr from among ki ... kj and then make an optimal binary search tree with keys ki ... kr-1 as its left subtree and an optimal binary search tree with keys kr+1 ... kj as its right subtree.What happens…
问题 该问题的实际应用 Suppose that we are designing a program to translate text from English to French. For each occurrence of each English word in the text, we need to look up its French equivalent. We could perform these lookup operations by building a binar…
Method for balancing a binary search tree. A computer implemented method for balancing a binary search tree includes locating a node in a binary search tree, determining whether a depth of the located node is greater than a threshold, and performing…
1. Unique Binary Search Trees Given n, how many structurally unique BST's (binary search trees) that store values 1...n? For example,Given n = 3, there are a total of 5 unique BST's. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3 思路:和 Unique Binar…
提到二叉查找树,就得想到二叉查找树的递归定义, 左子树的节点值都小于根节点,右子树的节点值都大于根节点. ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 给定一个n,问有多少个不同的二叉查找树,使得每个节点的值为 1...n? 例如, 给定n=3,你的程序应该返回所有的这5个不同的二叉排序树的个数. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \…
当数组为1,2,3,4,...,n时,基于以下原则构建的BST树具有唯一性: 以i为根节点的树,其左子树由[1,i-1]构成,其右子树由[i+1, n]构成. 我们假定f(i)为以[1,i]能产生的Unique Binary Search Tree的数目,则 如果数组为空,毫无疑问,只有一种BST,即空树,f(0)=1. 如果数组仅有一个元素1,只有一种BST,单个节点,f(1)=1. 如果数组有两个元素1,2,那么有如下两种可能: 1             2    \         /…
Given n, how many structurally unique BST's (binary search trees) that store values 1...n? For example,Given n = 3, there are a total of 5 unique BST's. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3 这道题实际上是Catalan Number卡塔兰数的一个例子,如果对卡塔兰数不熟悉的童鞋可能真…
Given n, generate all structurally unique BST's (binary search trees) that store values 1...n. For example,Given n = 3, your program should return all 5 unique BST's shown below. 1 3 3 2 1 \ / / / \ \ 3 2 1 1 3 2 / / \ \ 2 1 2 3 confused what "{1,#,2…
Given n, generate all structurally unique BST's (binary search trees) that store values 1...n. For example, Given n = 3, your program should return all 5 unique BST's shown below. 1               3            3             2             1 \          …
Given n, how many structurally unique BST's (binary search trees) that store values 1...n? For example, given n = 3, there are a total of 5 unique BST's. 1         3     3      2      1     \       /     /      / \      \      3     2     1      1  …