趣谈数据结构(八)83（On the data structure (eight) 83）.docVIP

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趣谈数据结构(八)83（On the data structure (eight) 83）.doc

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趣谈数据结构(八)83（On the data structure (eight) 83） Having read more than ten thousand books, writing if there is God - Du Fu On the data structure (eight) Last, we learned the tree and established the basic concepts and basic processing methods of the tree This statement, we through a few examples, to explain the storage tree, tree several typical applications, given a number of commonly used algorithms, source code, as follows The source of these algorithms as follows, in order to solve the tree problem for everyone, to provide some direction of thinking Example 1 will be a general tree (consisting of a single character) into two fork tree, and the conversion of the two fork tree in the first order, in the order, after the sequence of traversal, output the sequence of nodes after traversal The general tree input is represented by a string of parentheses between the father and the child For example, the tree shown in Figure 1 shows the input as: A (B (E), C (FG), D (H (IJK))) Figure 1 Analysis: the method of general tree into the two fork tree: the first child node as a two tree node after the left child node, which brother as a right child node formed after the two fork tree Figure 1 the tree root node, the first child A for node B, node B for the left child node of A into two binary tree, the node C is node B which brother node C is transformed into two binary tree node B after the right child, the same is, node D node C which is the brother, turn right after the children By analogy, figure 2 after conversion of the two fork tree form, as shown in Figure 2 Analysis of the input tree string form, you know, the left bracket after the characters for the left bracket of the left character of the previous child, brackets in the character relationship is brother, then converted to two fork tree, the latter character for its previous character of the right child Therefore, the left and right children can be generated according to the relation between left and right brackets a